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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2310.08648
|
Chawakorn Maneerat
|
Dionysios Anninos, Dami\'an A. Galante, Chawakorn Maneerat
|
Gravitational Observatories
|
39 pages, 3 figures; v5: minor corrections
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider four-dimensional general relativity with vanishing cosmological
constant defined on a manifold with a boundary. In Lorentzian signature, the
timelike boundary is of the form $\boldsymbol{\sigma} \times \mathbb{R}$, with
$\boldsymbol{\sigma}$ a spatial two-manifold that we take to be either flat or
$S^2$. In Euclidean signature, we take the boundary to be $S^2\times S^1$. We
consider conformal boundary conditions, whereby the conformal class of the
induced metric and trace $K$ of the extrinsic curvature are fixed at the
timelike boundary. The problem of linearised gravity is analysed using the
Kodama-Ishibashi formalism. It is shown that for a round metric on $S^2$ with
constant $K$, there are modes that grow exponentially in time. We discuss a
method to control the growing modes by varying $K$. The growing modes are
absent for a conformally flat induced metric on the timelike boundary. We
provide evidence that the Dirichlet problem for a spherical boundary does not
suffer from non-uniqueness issues at the linearised level. We consider the
extension of black hole thermodynamics to the case of conformal boundary
conditions, and show that the form of the Bekenstein-Hawking entropy is
retained.
|
[
{
"created": "Thu, 12 Oct 2023 18:19:24 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Oct 2023 16:46:45 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Nov 2023 15:26:46 GMT",
"version": "v3"
},
{
"created": "Wed, 13 Dec 2023 17:24:24 GMT",
"version": "v4"
},
{
"created": "Tue, 13 Feb 2024 16:11:40 GMT",
"version": "v5"
}
] |
2024-02-14
|
[
[
"Anninos",
"Dionysios",
""
],
[
"Galante",
"Damián A.",
""
],
[
"Maneerat",
"Chawakorn",
""
]
] |
We consider four-dimensional general relativity with vanishing cosmological constant defined on a manifold with a boundary. In Lorentzian signature, the timelike boundary is of the form $\boldsymbol{\sigma} \times \mathbb{R}$, with $\boldsymbol{\sigma}$ a spatial two-manifold that we take to be either flat or $S^2$. In Euclidean signature, we take the boundary to be $S^2\times S^1$. We consider conformal boundary conditions, whereby the conformal class of the induced metric and trace $K$ of the extrinsic curvature are fixed at the timelike boundary. The problem of linearised gravity is analysed using the Kodama-Ishibashi formalism. It is shown that for a round metric on $S^2$ with constant $K$, there are modes that grow exponentially in time. We discuss a method to control the growing modes by varying $K$. The growing modes are absent for a conformally flat induced metric on the timelike boundary. We provide evidence that the Dirichlet problem for a spherical boundary does not suffer from non-uniqueness issues at the linearised level. We consider the extension of black hole thermodynamics to the case of conformal boundary conditions, and show that the form of the Bekenstein-Hawking entropy is retained.
| 5.450572 | 5.467658 | 5.457126 | 5.511079 | 5.589773 | 5.447392 | 5.696062 | 5.286089 | 5.689378 | 6.246971 | 5.544437 | 5.441309 | 5.303056 | 5.429065 | 5.353469 | 5.462856 | 5.527553 | 5.3637 | 5.24566 | 5.29684 | 5.269487 |
hep-th/0211202
|
Bo Feng
|
Bo Feng
|
Seiberg Duality in Matrix Model
|
5 pages. Short notes. Abstract rewritten. Typo fixed
| null | null | null |
hep-th
| null |
In this paper, we use the matrix model of pure fundamental flavors (without
the adjoint field) to check the Seiberg duality in the case of complete mass
deformation. We show that, by explicit integration at both sides of electric
and magnetic matrix models, the results agree with the prediction in the field
theory.
|
[
{
"created": "Thu, 21 Nov 2002 19:26:49 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Dec 2002 02:00:55 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Feng",
"Bo",
""
]
] |
In this paper, we use the matrix model of pure fundamental flavors (without the adjoint field) to check the Seiberg duality in the case of complete mass deformation. We show that, by explicit integration at both sides of electric and magnetic matrix models, the results agree with the prediction in the field theory.
| 16.04859 | 12.032414 | 17.16592 | 12.551875 | 12.960949 | 12.274308 | 13.978065 | 11.496069 | 11.06066 | 16.475441 | 12.248419 | 11.781549 | 13.601822 | 11.756351 | 11.815716 | 12.063016 | 12.129313 | 12.081742 | 12.346995 | 13.016676 | 11.472201 |
hep-th/9907083
|
Jesus Puente Penalba
|
Jes\'us Puente Pe\~nalba
|
A Matrix Model for Type 0 Strings
|
13 pages, one figure. Also available at
http://condmat1.ciencias.uniovi.es/
|
JHEP 9908 (1999) 005
|
10.1088/1126-6708/1999/08/005
|
FFUOV-99/12
|
hep-th
| null |
A matrix model for type 0 strings is proposed. It consists in making a
non-supersymmetric orbifold projection in the Yang-Mills theory and identifying
the infrared configurations of the system at infinite coupling with strings.
The correct partition function is calculated. Also, the usual spectrum of
branes is found. Both type A and B models are constructed. The model in a torus
contains all the degrees of freedom and interpolates between the four string
theories (IIA, IIB, 0A, 0B) and the M theory as different limits are taken.
|
[
{
"created": "Mon, 12 Jul 1999 13:48:09 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Peñalba",
"Jesús Puente",
""
]
] |
A matrix model for type 0 strings is proposed. It consists in making a non-supersymmetric orbifold projection in the Yang-Mills theory and identifying the infrared configurations of the system at infinite coupling with strings. The correct partition function is calculated. Also, the usual spectrum of branes is found. Both type A and B models are constructed. The model in a torus contains all the degrees of freedom and interpolates between the four string theories (IIA, IIB, 0A, 0B) and the M theory as different limits are taken.
| 14.577343 | 12.668645 | 17.146994 | 13.299965 | 13.126573 | 13.539552 | 14.560694 | 14.090786 | 12.810777 | 17.744202 | 12.499092 | 13.061718 | 13.432229 | 12.861576 | 13.085841 | 12.989943 | 12.844856 | 12.653056 | 12.46809 | 14.076106 | 12.824046 |
2309.03478
|
Gustavo Joaquin Turiaci
|
Yiming Chen and Gustavo J. Turiaci
|
Spin-Statistics for Black Hole Microstates
|
34 pages; v2 references added; v3 more details on AdS3 case
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
The gravitational path integral can be used to compute the number of black
hole states for a given energy window, or the free energy in a thermal
ensemble. In this article we explain how to use the gravitational path integral
to compute the separate number of bosonic and fermionic black hole microstates.
We do this by comparing the partition function with and without the insertion
of $(-1)^{\sf F}$. In particular we introduce a universal rotating black hole
that contributes to the partition function in the presence of $(-1)^{\sf F}$.
We study this problem for black holes in asymptotically flat space and in AdS,
putting constraints on the high energy spectrum of holographic CFTs (not
necessarily supersymmetric). Finally, we analyze wormhole contributions to
related quantities.
|
[
{
"created": "Thu, 7 Sep 2023 04:46:12 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Sep 2023 00:07:38 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Oct 2023 03:34:48 GMT",
"version": "v3"
}
] |
2023-10-10
|
[
[
"Chen",
"Yiming",
""
],
[
"Turiaci",
"Gustavo J.",
""
]
] |
The gravitational path integral can be used to compute the number of black hole states for a given energy window, or the free energy in a thermal ensemble. In this article we explain how to use the gravitational path integral to compute the separate number of bosonic and fermionic black hole microstates. We do this by comparing the partition function with and without the insertion of $(-1)^{\sf F}$. In particular we introduce a universal rotating black hole that contributes to the partition function in the presence of $(-1)^{\sf F}$. We study this problem for black holes in asymptotically flat space and in AdS, putting constraints on the high energy spectrum of holographic CFTs (not necessarily supersymmetric). Finally, we analyze wormhole contributions to related quantities.
| 9.105477 | 8.451725 | 9.809436 | 8.567518 | 8.707853 | 8.707586 | 8.605061 | 8.340654 | 8.615488 | 9.517955 | 8.334145 | 8.25561 | 9.079741 | 8.588227 | 8.4245 | 8.113441 | 8.2214 | 8.362017 | 8.657844 | 8.945442 | 8.112178 |
0905.3391
|
Luca Grisa
|
Luca Grisa, Lorenzo Sorbo
|
Pauli-Fierz Gravitons on Friedmann-Robertson-Walker Background
|
13 pages; version accepted for publication on Phys. Lett. B
|
Phys.Lett.B686:273-278,2010
|
10.1016/j.physletb.2010.02.072
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the Hamiltonian describing Pauli-Fierz massive gravitons on a flat
Friedmann-Robertson-Walker (FRW) cosmology in a particular, non-generic
effective field theory. The cosmological evolution is driven by a scalar field
Phi with an arbitrary potential V(Phi). The model contains two coupled scalar
modes, corresponding to the fluctuations of Phi and to the propagating scalar
component of the Pauli-Fierz graviton. In order to preserve the full gauge
invariance of the massless version of the theory, both modes have to be taken
into account. We canonically normalize the Hamiltonian and generalize the
Higuchi bound to FRW backgrounds. We discuss how this bound can set limits on
the value of the Pauli-Fierz mass parameter. We also observe that on a generic
FRW background the speed of propagation of the scalar mode of the graviton is
always smaller than the speed of light.
|
[
{
"created": "Thu, 21 May 2009 19:49:01 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Feb 2010 19:06:50 GMT",
"version": "v2"
}
] |
2010-04-30
|
[
[
"Grisa",
"Luca",
""
],
[
"Sorbo",
"Lorenzo",
""
]
] |
We derive the Hamiltonian describing Pauli-Fierz massive gravitons on a flat Friedmann-Robertson-Walker (FRW) cosmology in a particular, non-generic effective field theory. The cosmological evolution is driven by a scalar field Phi with an arbitrary potential V(Phi). The model contains two coupled scalar modes, corresponding to the fluctuations of Phi and to the propagating scalar component of the Pauli-Fierz graviton. In order to preserve the full gauge invariance of the massless version of the theory, both modes have to be taken into account. We canonically normalize the Hamiltonian and generalize the Higuchi bound to FRW backgrounds. We discuss how this bound can set limits on the value of the Pauli-Fierz mass parameter. We also observe that on a generic FRW background the speed of propagation of the scalar mode of the graviton is always smaller than the speed of light.
| 7.321605 | 7.031695 | 6.716116 | 6.642099 | 6.895822 | 6.90363 | 6.808941 | 6.927658 | 6.639076 | 7.24051 | 6.647834 | 6.357059 | 6.682198 | 6.504402 | 6.767857 | 6.52325 | 6.436678 | 6.558426 | 6.694931 | 6.892959 | 6.629309 |
hep-th/0110281
|
Pietro Fre
|
Pietro Fr\'e
|
BPS D3-branes on smooth ALE manifolds
|
Talk given at the Conference "New Trends in Particle Physics",
September 2001, Yalta, Ukraina
| null | null | null |
hep-th
| null |
In this talk I review the recent construction of a new family of classical
BPS solutions of type IIB supergravity describing 3-branes transverse to a
6-dimensional space with topology $\mathbb{R}^{2}\times$ALE. They are
characterized by a non-trivial flux of the supergravity 2-forms through the
homology 2-cycles of a generic smooth ALE manifold. These solutions have two
Killing spinors and thus preserve $\mathcal{N}=2$ supersymmetry. They are
expressed in terms of a quasi harmonic function $H$ (the ``warp factor''),
whose properties was studied in detail in the case of the simplest ALE, namely
the Eguchi-Hanson manifold. The equation for $H$ was identified as an instance
of the confluent Heun equation.
|
[
{
"created": "Tue, 30 Oct 2001 17:19:28 GMT",
"version": "v1"
}
] |
2023-08-29
|
[
[
"Fré",
"Pietro",
""
]
] |
In this talk I review the recent construction of a new family of classical BPS solutions of type IIB supergravity describing 3-branes transverse to a 6-dimensional space with topology $\mathbb{R}^{2}\times$ALE. They are characterized by a non-trivial flux of the supergravity 2-forms through the homology 2-cycles of a generic smooth ALE manifold. These solutions have two Killing spinors and thus preserve $\mathcal{N}=2$ supersymmetry. They are expressed in terms of a quasi harmonic function $H$ (the ``warp factor''), whose properties was studied in detail in the case of the simplest ALE, namely the Eguchi-Hanson manifold. The equation for $H$ was identified as an instance of the confluent Heun equation.
| 6.751376 | 6.953088 | 6.852435 | 6.389665 | 6.687442 | 6.104378 | 6.79188 | 6.429276 | 6.04258 | 8.054114 | 6.500955 | 6.240062 | 6.593108 | 6.171947 | 6.30856 | 6.176291 | 6.243507 | 6.218913 | 6.146469 | 6.554029 | 6.071068 |
1305.5523
|
Alexandru Lupsasca
|
Daniel L. Jafferis, Alexandru Lupsasca, Vyacheslav Lysov, Gim Seng Ng
and Andrew Strominger
|
Quasinormal Quantization in deSitter Spacetime
|
23 pages. v2: minor edits, matches published version
|
JHEP 1501 (2015) 004
|
10.1007/JHEP01(2015)004
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A scalar field in four-dimensional deSitter spacetime (dS_4) has quasinormal
modes which are singular on the past horizon of the south pole and decay
exponentially towards the future. These are found to lie in two complex
highest-weight representations of the dS_4 isometry group SO(4,1). The
Klein-Gordon norm cannot be used for quantization of these modes because it
diverges. However a modified `R-norm', which involves reflection across the
equator of a spatial S^3 slice, is nonsingular. The quasinormal modes are shown
to provide a complete orthogonal basis with respect to the R-norm. Adopting the
associated R-adjoint effectively transforms SO(4,1) to the symmetry group
SO(3,2) of a 2+1-dimensional CFT. It is further shown that the conventional
Euclidean vacuum may be defined as the state annihilated by half of the
quasinormal modes, and the Euclidean Green function obtained from a simple mode
sum. Quasinormal quantization contrasts with some conventional approaches in
that it maintains manifest dS-invariance throughout. The results are expected
to generalize to other dimensions and spins.
|
[
{
"created": "Thu, 23 May 2013 19:24:06 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Mar 2015 04:35:29 GMT",
"version": "v2"
}
] |
2015-03-19
|
[
[
"Jafferis",
"Daniel L.",
""
],
[
"Lupsasca",
"Alexandru",
""
],
[
"Lysov",
"Vyacheslav",
""
],
[
"Ng",
"Gim Seng",
""
],
[
"Strominger",
"Andrew",
""
]
] |
A scalar field in four-dimensional deSitter spacetime (dS_4) has quasinormal modes which are singular on the past horizon of the south pole and decay exponentially towards the future. These are found to lie in two complex highest-weight representations of the dS_4 isometry group SO(4,1). The Klein-Gordon norm cannot be used for quantization of these modes because it diverges. However a modified `R-norm', which involves reflection across the equator of a spatial S^3 slice, is nonsingular. The quasinormal modes are shown to provide a complete orthogonal basis with respect to the R-norm. Adopting the associated R-adjoint effectively transforms SO(4,1) to the symmetry group SO(3,2) of a 2+1-dimensional CFT. It is further shown that the conventional Euclidean vacuum may be defined as the state annihilated by half of the quasinormal modes, and the Euclidean Green function obtained from a simple mode sum. Quasinormal quantization contrasts with some conventional approaches in that it maintains manifest dS-invariance throughout. The results are expected to generalize to other dimensions and spins.
| 9.671681 | 9.590428 | 10.117151 | 9.133406 | 10.279752 | 10.031703 | 9.998258 | 8.948548 | 9.348005 | 10.899836 | 9.369841 | 9.120102 | 9.451947 | 9.236794 | 9.617278 | 9.206038 | 9.156417 | 9.293193 | 9.526353 | 9.495301 | 9.093868 |
hep-th/9504156
|
Dmitry Dolgov
|
Dmitri DOLGOV
|
Four-Dimensional Random Surfaces and One-Dimensional String Theory
|
18 pages, HARVMAC, no figures
| null | null |
FIAN/TD/95-05
|
hep-th
| null |
We consider a new action of a two-dimensional field theory interacting with
gravitational field. The action is interpreted as the area of a surface
imbedded into four-dimensional Mincowski target space. In addition to
reparametrization invariance the new action has one extra infinite-dimensional
local symmetry with a clear geometrical meaning. The special gauge choice,
which includes the gauge condition of tracelessness of the energy-momentum
tensor, leads to an effective free scalar field theory. The problem of
anomalies in quantum theory and possible connection with matrix quantum
mechanics are also discussed.
|
[
{
"created": "Fri, 28 Apr 1995 12:38:23 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"DOLGOV",
"Dmitri",
""
]
] |
We consider a new action of a two-dimensional field theory interacting with gravitational field. The action is interpreted as the area of a surface imbedded into four-dimensional Mincowski target space. In addition to reparametrization invariance the new action has one extra infinite-dimensional local symmetry with a clear geometrical meaning. The special gauge choice, which includes the gauge condition of tracelessness of the energy-momentum tensor, leads to an effective free scalar field theory. The problem of anomalies in quantum theory and possible connection with matrix quantum mechanics are also discussed.
| 13.179074 | 10.766451 | 13.323383 | 10.899882 | 11.605903 | 11.897739 | 12.647091 | 11.334027 | 10.98424 | 13.655143 | 12.004281 | 11.662602 | 12.264388 | 11.666999 | 11.65156 | 11.866003 | 11.602407 | 11.592935 | 12.299536 | 12.197906 | 11.741508 |
1705.10262
|
Alfredo Guevara
|
Freddy Cachazo and Alfredo Guevara
|
Leading Singularities and Classical Gravitational Scattering
|
38 pages, 7 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we propose to use leading singularities to obtain the classical
pieces of amplitudes of two massive particles whose only interaction is
gravitational. Leading singularities are generalizations of unitarity cuts. At
one-loop we find that leading singularities obtained by multiple
discontinuities in the t-channel contain all the classical information. As the
main example, we show how to obtain a compact formula for the fully
relativistic classical one-loop contribution to the scattering of two particles
with different masses. The non-relativistic limit of the leading singularity
agrees with known results in the post-Newtonian expansion. We also compute a
variety of higher loop leading singularities including some all-loop families
and study some of their properties.
|
[
{
"created": "Mon, 29 May 2017 15:40:23 GMT",
"version": "v1"
}
] |
2017-05-30
|
[
[
"Cachazo",
"Freddy",
""
],
[
"Guevara",
"Alfredo",
""
]
] |
In this work we propose to use leading singularities to obtain the classical pieces of amplitudes of two massive particles whose only interaction is gravitational. Leading singularities are generalizations of unitarity cuts. At one-loop we find that leading singularities obtained by multiple discontinuities in the t-channel contain all the classical information. As the main example, we show how to obtain a compact formula for the fully relativistic classical one-loop contribution to the scattering of two particles with different masses. The non-relativistic limit of the leading singularity agrees with known results in the post-Newtonian expansion. We also compute a variety of higher loop leading singularities including some all-loop families and study some of their properties.
| 10.151076 | 9.640144 | 9.958385 | 9.13857 | 9.13505 | 9.662727 | 9.593666 | 9.551998 | 9.844336 | 10.092752 | 9.014933 | 9.676923 | 9.267964 | 9.268782 | 9.319508 | 9.112288 | 8.846802 | 9.146727 | 9.512234 | 9.356986 | 9.25701 |
hep-th/0105233
|
Cheuk Ho Otto Chui
|
C.H. Otto Chui, Paul A. Pearce
|
Finitized Conformal Spectra of the Ising Model on the Klein Bottle and
Moebius Strip
|
33 pages. Journal of Statistical Physics, vol. 107: 1167-1204 (2002)
|
J.Statist.Phys. 107 (2002) 1167-1205
|
10.1023/A:1015113909363
| null |
hep-th
| null |
We study the conformal spectra of the critical square lattice Ising model on
the Klein bottle and M\"obius strip using Yang-Baxter techniques and the
solution of functional equations. In particular, we obtain expressions for the
finitized conformal partition functions in terms of finitized Virasoro
characters. This demonstrates that Yang-Baxter techniques and functional
equations can be used to study the conformal spectra of more general exactly
solvable lattice models in these topologies. The results rely on certain
properties of the eigenvalues which are confirmed numerically.
|
[
{
"created": "Wed, 23 May 2001 06:42:34 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Mar 2002 06:10:02 GMT",
"version": "v2"
}
] |
2015-06-25
|
[
[
"Chui",
"C. H. Otto",
""
],
[
"Pearce",
"Paul A.",
""
]
] |
We study the conformal spectra of the critical square lattice Ising model on the Klein bottle and M\"obius strip using Yang-Baxter techniques and the solution of functional equations. In particular, we obtain expressions for the finitized conformal partition functions in terms of finitized Virasoro characters. This demonstrates that Yang-Baxter techniques and functional equations can be used to study the conformal spectra of more general exactly solvable lattice models in these topologies. The results rely on certain properties of the eigenvalues which are confirmed numerically.
| 8.746763 | 7.950633 | 9.226821 | 7.74995 | 8.808579 | 7.77568 | 7.393096 | 7.616417 | 7.976717 | 9.979636 | 8.098105 | 8.006209 | 8.428281 | 7.795662 | 8.067475 | 8.261634 | 7.694794 | 7.971038 | 7.773781 | 8.512897 | 7.748987 |
2407.04210
|
Jorge David Castano-Yepes
|
Jorge David Casta\~no-Yepes, Enrique Mu\~noz
|
Fermion Self-Energy and Effective Mass in a Noisy Magnetic Background
|
6 pages (main text), 14 pages (with appendix), 6 figures
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this article, we consider the propagation of QED fermions in the presence
of a classical background magnetic field with white-noise stochastic
fluctuations. The effects of the magnetic field fluctuations are incorporated
into the fermion and photon propagators in a quasi-particle picture, which we
developed in previous works using the {\it replica trick}. By considering the
strong-field limit, here we explicitly calculate the fermion self-energy
involving radiative contributions at first-order in $\alpha_\text{em}$, in
order to obtain the noise-averaged mass of the fermion propagating in the
fluctuating magnetized medium. Our analytical results reveal a leading
double-logarithmic contribution $\sim \left[\ln \left( |e B|/m^2
\right)\right]^2$ to the mass, with an imaginary part representing a spectral
broadening proportional to the magnetic noise auto-correlation $\Delta$. While
a uniform magnetic field already breaks Lorentz invariance, inducing the usual
separation into two orthogonal subspaces (perpendicular and parallel with
respect to the field), the presence of magnetic noise further breaks the
remaining symmetry, thus leading to distinct spectral widths associated with
fermion and anti-fermion, and their spin projection in the quasi-particle
picture.
|
[
{
"created": "Fri, 5 Jul 2024 01:45:10 GMT",
"version": "v1"
}
] |
2024-07-08
|
[
[
"Castaño-Yepes",
"Jorge David",
""
],
[
"Muñoz",
"Enrique",
""
]
] |
In this article, we consider the propagation of QED fermions in the presence of a classical background magnetic field with white-noise stochastic fluctuations. The effects of the magnetic field fluctuations are incorporated into the fermion and photon propagators in a quasi-particle picture, which we developed in previous works using the {\it replica trick}. By considering the strong-field limit, here we explicitly calculate the fermion self-energy involving radiative contributions at first-order in $\alpha_\text{em}$, in order to obtain the noise-averaged mass of the fermion propagating in the fluctuating magnetized medium. Our analytical results reveal a leading double-logarithmic contribution $\sim \left[\ln \left( |e B|/m^2 \right)\right]^2$ to the mass, with an imaginary part representing a spectral broadening proportional to the magnetic noise auto-correlation $\Delta$. While a uniform magnetic field already breaks Lorentz invariance, inducing the usual separation into two orthogonal subspaces (perpendicular and parallel with respect to the field), the presence of magnetic noise further breaks the remaining symmetry, thus leading to distinct spectral widths associated with fermion and anti-fermion, and their spin projection in the quasi-particle picture.
| 10.207344 | 11.142323 | 9.468026 | 9.300132 | 10.483191 | 10.582936 | 11.066396 | 11.152666 | 9.936682 | 10.762642 | 10.073732 | 9.647336 | 9.568897 | 9.574967 | 9.415473 | 9.641644 | 9.814645 | 9.917864 | 9.821109 | 9.727757 | 9.821666 |
2108.11969
|
Laura Donnay
|
Laura Donnay, Romain Ruzziconi
|
BMS Flux Algebra in Celestial Holography
|
30 pages, v2: added references
| null |
10.1007/JHEP11(2021)040
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Starting from gravity in asymptotically flat spacetime, the BMS momentum
fluxes are constructed. These are non-local expressions of the solution space
living on the celestial Riemann surface. They transform in the coadjoint
representation of the extended BMS group and correspond to Virasoro primaries
under the action of bulk superrotations. The relation between the BMS momentum
fluxes and celestial CFT operators is then established: the supermomentum flux
is related to the supertranslation operator and the super angular momentum flux
is linked to the stress-energy tensor of the celestial CFT. The transformation
under the action of asymptotic symmetries and the OPEs of the celestial CFT
currents are deduced from the BMS flux algebra.
|
[
{
"created": "Thu, 26 Aug 2021 18:00:30 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Nov 2021 18:06:31 GMT",
"version": "v2"
}
] |
2021-11-30
|
[
[
"Donnay",
"Laura",
""
],
[
"Ruzziconi",
"Romain",
""
]
] |
Starting from gravity in asymptotically flat spacetime, the BMS momentum fluxes are constructed. These are non-local expressions of the solution space living on the celestial Riemann surface. They transform in the coadjoint representation of the extended BMS group and correspond to Virasoro primaries under the action of bulk superrotations. The relation between the BMS momentum fluxes and celestial CFT operators is then established: the supermomentum flux is related to the supertranslation operator and the super angular momentum flux is linked to the stress-energy tensor of the celestial CFT. The transformation under the action of asymptotic symmetries and the OPEs of the celestial CFT currents are deduced from the BMS flux algebra.
| 8.845105 | 9.034389 | 9.733629 | 7.941959 | 9.285291 | 8.678872 | 8.116935 | 7.697033 | 7.991986 | 10.737562 | 7.865362 | 8.215116 | 8.32795 | 8.014205 | 8.073437 | 7.917509 | 8.285317 | 8.17992 | 7.910027 | 8.595333 | 8.007935 |
hep-th/9411026
|
Haret Rosu
|
Haret C. Rosu and Marco Reyes
|
Supersymmetric time-continuous discrete random walks
|
replaced with published version, 2 figures available from HCR, no
essential changes, 11 pages of LaTex
|
Phys. Rev. E 51, 5112 (May 1995) [BR]
|
10.1103/PhysRevE.51.5112
|
IFUG-94/23
|
hep-th
| null |
We apply the supersymmetric procedure to one-step random walks in one
dimension at the level of the usual master equation, extending a study
initiated by H.R. Jauslin [Phys. Rev. A {\bf 41}, 3407 (1990)]. A discussion of
the supersymmetric technique for this discrete case is presented by introducing
a formal second-order discrete master derivative and its ``square root", and we
solve completely, and in matrix form, the cases of homogeneous random walks
(constant jumping rates). A simple generalization of Jauslin's results to two
uncorrelated axes is also provided. There may be many applications, especially
to bistable and multistable one-step processes.
|
[
{
"created": "Fri, 4 Nov 1994 02:15:00 GMT",
"version": "v1"
},
{
"created": "Fri, 12 May 1995 00:20:00 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Rosu",
"Haret C.",
""
],
[
"Reyes",
"Marco",
""
]
] |
We apply the supersymmetric procedure to one-step random walks in one dimension at the level of the usual master equation, extending a study initiated by H.R. Jauslin [Phys. Rev. A {\bf 41}, 3407 (1990)]. A discussion of the supersymmetric technique for this discrete case is presented by introducing a formal second-order discrete master derivative and its ``square root", and we solve completely, and in matrix form, the cases of homogeneous random walks (constant jumping rates). A simple generalization of Jauslin's results to two uncorrelated axes is also provided. There may be many applications, especially to bistable and multistable one-step processes.
| 18.216461 | 22.227907 | 20.835392 | 20.411005 | 23.178186 | 23.073296 | 24.554346 | 22.6661 | 20.266809 | 23.310337 | 18.086321 | 19.386311 | 20.099203 | 18.563326 | 19.367046 | 18.78371 | 19.233816 | 18.690489 | 18.490562 | 20.017618 | 17.96377 |
1502.02687
|
Ram Brustein
|
Lasma Alberte, Ram Brustein, Andrei Khmelnitsky, A.J.M. Medved
|
Density matrix of black hole radiation
|
41 pages, 2 figures, added content, clarifications and explanations,
v2 matches the published version
| null |
10.1007/JHEP08(2015)015
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Hawking's model of black hole evaporation is not unitary and leads to a mixed
density matrix for the emitted radiation, while the Page model describes a
unitary evaporation process in which the density matrix evolves from an almost
thermal state to a pure state. We compare a recently proposed model of
semiclassical black hole evaporation to the two established models. In
particular, we study the density matrix of the outgoing radiation and determine
how the magnitude of the off-diagonal corrections differs for the three
frameworks. For Hawking's model, we find power-law corrections to the two-point
functions that induce exponentially suppressed corrections to the off-diagonal
elements of the full density matrix. This verifies that the Hawking result is
correct to all orders in perturbation theory and also allows one to express the
full density matrix in terms of the single-particle density matrix. We then
consider the semiclassical theory for which the corrections, being
non-perturbative from an effective field-theory perspective, are much less
suppressed and grow monotonically in time. In this case, the R\'enyi entropy
for the outgoing radiation is shown to grow linearly at early times; but this
growth slows down and the entropy eventually starts to decrease at the Page
time. In addition to comparing models, we emphasize the distinction between the
state of the radiation emitted from a black hole, which is highly quantum, and
that of the radiation emitted from a typical classical black body at the same
temperature.
|
[
{
"created": "Mon, 9 Feb 2015 21:15:01 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jun 2015 15:47:28 GMT",
"version": "v2"
}
] |
2015-09-02
|
[
[
"Alberte",
"Lasma",
""
],
[
"Brustein",
"Ram",
""
],
[
"Khmelnitsky",
"Andrei",
""
],
[
"Medved",
"A. J. M.",
""
]
] |
Hawking's model of black hole evaporation is not unitary and leads to a mixed density matrix for the emitted radiation, while the Page model describes a unitary evaporation process in which the density matrix evolves from an almost thermal state to a pure state. We compare a recently proposed model of semiclassical black hole evaporation to the two established models. In particular, we study the density matrix of the outgoing radiation and determine how the magnitude of the off-diagonal corrections differs for the three frameworks. For Hawking's model, we find power-law corrections to the two-point functions that induce exponentially suppressed corrections to the off-diagonal elements of the full density matrix. This verifies that the Hawking result is correct to all orders in perturbation theory and also allows one to express the full density matrix in terms of the single-particle density matrix. We then consider the semiclassical theory for which the corrections, being non-perturbative from an effective field-theory perspective, are much less suppressed and grow monotonically in time. In this case, the R\'enyi entropy for the outgoing radiation is shown to grow linearly at early times; but this growth slows down and the entropy eventually starts to decrease at the Page time. In addition to comparing models, we emphasize the distinction between the state of the radiation emitted from a black hole, which is highly quantum, and that of the radiation emitted from a typical classical black body at the same temperature.
| 7.941461 | 7.957234 | 8.60603 | 7.93061 | 7.724784 | 7.994088 | 8.09765 | 7.526421 | 7.859442 | 8.433879 | 7.711831 | 7.651414 | 7.514128 | 7.642398 | 7.657434 | 7.600958 | 7.45844 | 7.467545 | 7.4297 | 7.530208 | 7.540653 |
2011.14116
|
Ilija Buric
|
Ilija Buric, Volker Schomerus and Evgeny Sobko
|
Crossing Symmetry for Long Multiplets in 4D $\mathcal{N}=1$ SCFTs
| null | null |
10.1007/JHEP04(2021)130
|
DESY 20-205
|
hep-th
|
http://creativecommons.org/publicdomain/zero/1.0/
|
In this work we construct the crossing symmetry equations for mixed
correlators of two long and two BPS operators in 4D $\mathcal{N}=1$ SCFTs. The
analysis presented here illustrates how our general group theoretic approach to
long superblocks and tensor structures of superconformal algebras can be
applied to give explicit ready-to-use expressions. In the case at hand, we
obtain a system of four crossing symmetry equations for the relevant OPE
coefficients. One of these four equations coincides with the equation found and
analysed by Li, Meltzer and Stergiou by restricting to the superprimary
component of the long multiplets. The other three equations are new and they
provide powerful additional constraints on the same OPE data.
|
[
{
"created": "Sat, 28 Nov 2020 11:45:29 GMT",
"version": "v1"
}
] |
2021-04-28
|
[
[
"Buric",
"Ilija",
""
],
[
"Schomerus",
"Volker",
""
],
[
"Sobko",
"Evgeny",
""
]
] |
In this work we construct the crossing symmetry equations for mixed correlators of two long and two BPS operators in 4D $\mathcal{N}=1$ SCFTs. The analysis presented here illustrates how our general group theoretic approach to long superblocks and tensor structures of superconformal algebras can be applied to give explicit ready-to-use expressions. In the case at hand, we obtain a system of four crossing symmetry equations for the relevant OPE coefficients. One of these four equations coincides with the equation found and analysed by Li, Meltzer and Stergiou by restricting to the superprimary component of the long multiplets. The other three equations are new and they provide powerful additional constraints on the same OPE data.
| 10.625383 | 10.516792 | 12.373859 | 10.228378 | 10.429858 | 10.15022 | 11.117651 | 9.982728 | 10.023256 | 13.012093 | 9.477372 | 9.963508 | 11.064 | 10.253324 | 9.556664 | 10.426502 | 10.270501 | 10.307834 | 10.527988 | 11.053004 | 9.634754 |
2212.06159
|
Lakshya Bhardwaj
|
Lakshya Bhardwaj, Sakura Schafer-Nameki, Apoorv Tiwari
|
Unifying Constructions of Non-Invertible Symmetries
|
52 pages
|
SciPost Phys. 15, 122 (2023)
|
10.21468/SciPostPhys.15.3.122
| null |
hep-th cond-mat.str-el math.CT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the past year several constructions of non-invertible symmetries in
Quantum Field Theory in $d\geq 3$ have appeared. In this paper we provide a
unified perspective on these constructions. Central to this framework are
so-called theta defects, which generalize the notion of theta-angles, and allow
the construction of universal and non-universal topological symmetry defects.
We complement this physical analysis by proposing a mathematical framework
(based on higher-fusion categories) that converts the physical construction of
non-invertible symmetries into a concrete computational scheme.
|
[
{
"created": "Mon, 12 Dec 2022 19:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Aug 2023 15:18:38 GMT",
"version": "v2"
}
] |
2023-10-04
|
[
[
"Bhardwaj",
"Lakshya",
""
],
[
"Schafer-Nameki",
"Sakura",
""
],
[
"Tiwari",
"Apoorv",
""
]
] |
In the past year several constructions of non-invertible symmetries in Quantum Field Theory in $d\geq 3$ have appeared. In this paper we provide a unified perspective on these constructions. Central to this framework are so-called theta defects, which generalize the notion of theta-angles, and allow the construction of universal and non-universal topological symmetry defects. We complement this physical analysis by proposing a mathematical framework (based on higher-fusion categories) that converts the physical construction of non-invertible symmetries into a concrete computational scheme.
| 12.511593 | 9.279835 | 11.038156 | 9.517573 | 11.006417 | 10.023851 | 9.82373 | 10.126841 | 9.836126 | 12.458184 | 10.244229 | 10.059777 | 10.55697 | 10.001576 | 9.610887 | 10.061719 | 9.534217 | 10.138154 | 10.111668 | 10.915457 | 9.980721 |
hep-th/9701190
|
Daniel Cangemi
|
Marco Billo, Daniel Cangemi and Paolo Di Vecchia
|
Boundary states for moving D-branes
|
10 pages, LaTeX, no figures; Eqs. (47) and (48) corrected
|
Phys.Lett. B400 (1997) 63-70
|
10.1016/S0370-2693(97)00329-8
|
NORDITA 97/7P and NBI-HE-97-05
|
hep-th
| null |
We determine the boundary state for both the NS-NS and R-R sectors of
superstring theory. We show how they are modified under a boost. The boosted
boundary state is then used for computing the interaction of two D-branes
moving with constant velocity reproducing with a completely different method a
recent calculation by Bachas.
|
[
{
"created": "Thu, 30 Jan 1997 18:00:52 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Mar 1997 14:33:27 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Billo",
"Marco",
""
],
[
"Cangemi",
"Daniel",
""
],
[
"Di Vecchia",
"Paolo",
""
]
] |
We determine the boundary state for both the NS-NS and R-R sectors of superstring theory. We show how they are modified under a boost. The boosted boundary state is then used for computing the interaction of two D-branes moving with constant velocity reproducing with a completely different method a recent calculation by Bachas.
| 15.118563 | 11.901745 | 13.487699 | 12.487621 | 12.208011 | 12.861518 | 13.937759 | 11.830357 | 11.392185 | 15.624032 | 11.772207 | 12.763925 | 12.996389 | 12.770663 | 12.770822 | 12.406198 | 12.46095 | 12.382769 | 12.506899 | 13.198836 | 12.32457 |
hep-th/0308187
|
Sedra
|
M. Hssaini and M.B.Sedra (ICTP-Trieste, It & UIT-FSK, Ma)
|
Type IIB String Backgrounds on Parallelizable PP-Waves and Conformal
Liouville Theory
|
LaTeX file, 16 pages,Extended discussion, References updated
|
Afr.J.Math.Phys. 1 (2004) 91-97
| null | null |
hep-th
| null |
The scope of this work concerns the adaptation of the parallelizability
pp-wave (Ppp-wave) process to D=10 type IIB string backgrounds in the presence
of the non-trivial anti-self dual R-R 5-form $\QTR{cal}{F}$. This is important
in the sense that it gives rise to some unsuspected properties. In fact, exact
solutions of type IIB string backgrounds on Ppp-waves are discussed. For the
$u$-dependence of the dilaton field $\Phi $, we establish explicitly a
correspondence between type IIB supergravity equations of motion and
2d-conformal Liouville field theory. We show also that the corresponding
conserved conformal current $T(\Phi)$ coincides exactly with the trace of the
symmetric matrix $\mu_{ij}$ appearing in the quadratic front factor $F=\mu
_{ij}x^{i}x^{j}$ of the Ppp-wave. Furthermore, we consider the transverse space
dependence of the dilaton $\Phi $ and show that the supergravity equations are
easily solved for the linear realization of the dilaton field. Other remarkable
properties related to this case are also discussed.
|
[
{
"created": "Wed, 27 Aug 2003 23:24:18 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Sep 2003 22:29:15 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Hssaini",
"M.",
"",
"ICTP-Trieste, It & UIT-FSK, Ma"
],
[
"Sedra",
"M. B.",
"",
"ICTP-Trieste, It & UIT-FSK, Ma"
]
] |
The scope of this work concerns the adaptation of the parallelizability pp-wave (Ppp-wave) process to D=10 type IIB string backgrounds in the presence of the non-trivial anti-self dual R-R 5-form $\QTR{cal}{F}$. This is important in the sense that it gives rise to some unsuspected properties. In fact, exact solutions of type IIB string backgrounds on Ppp-waves are discussed. For the $u$-dependence of the dilaton field $\Phi $, we establish explicitly a correspondence between type IIB supergravity equations of motion and 2d-conformal Liouville field theory. We show also that the corresponding conserved conformal current $T(\Phi)$ coincides exactly with the trace of the symmetric matrix $\mu_{ij}$ appearing in the quadratic front factor $F=\mu _{ij}x^{i}x^{j}$ of the Ppp-wave. Furthermore, we consider the transverse space dependence of the dilaton $\Phi $ and show that the supergravity equations are easily solved for the linear realization of the dilaton field. Other remarkable properties related to this case are also discussed.
| 11.663675 | 11.772539 | 12.222643 | 10.71703 | 11.980661 | 12.306717 | 11.589801 | 11.18303 | 11.071039 | 12.746788 | 11.712679 | 11.317887 | 11.909682 | 10.957346 | 11.384396 | 11.453699 | 11.395809 | 11.291728 | 11.166996 | 11.956512 | 11.569118 |
hep-th/0510122
|
Marlon Nunes Barreto
|
M. N. Barreto, F. J. S. Ferreira, S. I. Zlatev
|
Strictly Canonical Quantization of a Massless Spinning Particle and a
Quaternionic Extension of Pseudoclassical Mechanics
|
18 pages, LaTeX
| null | null | null |
hep-th
| null |
A pseudoclassical model, reproducing, upon quantization, the dynamics of the
chiral sectors of the massless spin-1/2 field theory is proposed. The discrete
symmetries of the action are studied in details. In order to reproduce the
positive and negative chiral sectors of the particle and antiparticle, we
promote the algebra of functions on the phase space to a bimodule over the
complexified quaternions - biquaternions. The quantization is performed by
means of strictly canonical methods (Dirac brackets formalism) reproducing the
Dirac equation in the Foldy-Wouthuysen representation in the particle and
antiparticle sectors and the Weyl equation in the chiral sectors.
|
[
{
"created": "Fri, 14 Oct 2005 23:06:21 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Barreto",
"M. N.",
""
],
[
"Ferreira",
"F. J. S.",
""
],
[
"Zlatev",
"S. I.",
""
]
] |
A pseudoclassical model, reproducing, upon quantization, the dynamics of the chiral sectors of the massless spin-1/2 field theory is proposed. The discrete symmetries of the action are studied in details. In order to reproduce the positive and negative chiral sectors of the particle and antiparticle, we promote the algebra of functions on the phase space to a bimodule over the complexified quaternions - biquaternions. The quantization is performed by means of strictly canonical methods (Dirac brackets formalism) reproducing the Dirac equation in the Foldy-Wouthuysen representation in the particle and antiparticle sectors and the Weyl equation in the chiral sectors.
| 8.015467 | 6.916413 | 8.033959 | 6.854238 | 7.654143 | 7.912311 | 7.500776 | 7.433021 | 6.998329 | 8.776796 | 7.197555 | 7.005944 | 7.618942 | 7.004815 | 7.062251 | 6.883189 | 7.070457 | 7.227647 | 7.591843 | 7.873488 | 6.86822 |
1911.01907
|
Pietro Dall'Olio
|
Tim De Meerleer, David Dudal, Silvio Paolo Sorella, Pietro Dall'Olio,
Adnan Bashir
|
Landau-Khalatnikov-Fradkin Transformations, Nielsen Identities, Their
Equivalence and Implications for QCD
|
18 pages
|
Phys. Rev. D 101, 085005 (2020)
|
10.1103/PhysRevD.101.085005
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Landau-Khalatnikov-Fradkin transformations (LKFTs) represent an important
tool for probing the gauge dependence of the correlation functions within the
class of linear covariant gauges. Recently these transformations have been
derived from first principles in the context of non-Abelian gauge theory (QCD)
introducing a gauge invariant transverse gauge field expressible as an infinite
power series in a Stueckelberg field. In this work we explicitly calculate the
transformation for the gluon propagator, reproducing its dependence on the
gauge parameter at the one loop level and elucidating the role of the extra
fields involved in this theoretical framework. Later on, employing a unifying
scheme based upon the BRST symmetry and a resulting generalized Slavnov-Taylor
identity, we establish the equivalence between the LKFTs and the Nielsen
identities which are also known to connect results in different gauges.
|
[
{
"created": "Tue, 5 Nov 2019 16:11:16 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Mar 2020 16:07:30 GMT",
"version": "v2"
}
] |
2020-04-22
|
[
[
"De Meerleer",
"Tim",
""
],
[
"Dudal",
"David",
""
],
[
"Sorella",
"Silvio Paolo",
""
],
[
"Dall'Olio",
"Pietro",
""
],
[
"Bashir",
"Adnan",
""
]
] |
The Landau-Khalatnikov-Fradkin transformations (LKFTs) represent an important tool for probing the gauge dependence of the correlation functions within the class of linear covariant gauges. Recently these transformations have been derived from first principles in the context of non-Abelian gauge theory (QCD) introducing a gauge invariant transverse gauge field expressible as an infinite power series in a Stueckelberg field. In this work we explicitly calculate the transformation for the gluon propagator, reproducing its dependence on the gauge parameter at the one loop level and elucidating the role of the extra fields involved in this theoretical framework. Later on, employing a unifying scheme based upon the BRST symmetry and a resulting generalized Slavnov-Taylor identity, we establish the equivalence between the LKFTs and the Nielsen identities which are also known to connect results in different gauges.
| 8.223562 | 7.337072 | 7.997939 | 7.587932 | 7.855117 | 7.922469 | 7.465168 | 7.803534 | 7.104793 | 8.594978 | 7.524737 | 8.0496 | 8.009878 | 7.73235 | 7.76891 | 7.814101 | 7.750715 | 7.897761 | 7.947968 | 8.110663 | 7.85742 |
2110.11926
|
V. Parameswaran Nair
|
Dimitra Karabali, Antonina Maj and V.P. Nair
|
Gauge and Scalar Fields on $\mathbb{CP}^2$: A Gauge-invariant Analysis
I. The effective action from chiral scalars
|
43 pages, subtitle added, new simpler regularization used, sections
rewritten to reflect this, conclusions unchanged, version to be published
| null |
10.1103/PhysRevD.106.085012
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A parametrization of gauge fields on complex projective spaces of arbitrary
dimension is given as a generalization of the two-dimensional case. Gauge
transformations act homogeneously on the fields, facilitating a manifestly
gauge-invariant analysis. Specializing to four dimensions, we consider the
nature of the effective action due to chiral scalars interacting with the gauge
fields. The key qualitatively significant terms include a possible
gauge-invariant mass term and a finite four-dimensional Wess-Zumino-Witten
(WZW) action. We comment on relating the mass term to lattice simulations as
well as Schwinger-Dyson analyses, and also on relating the WZW action to the
instanton liquid picture of QCD.
|
[
{
"created": "Fri, 22 Oct 2021 17:15:33 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jun 2022 01:25:02 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Nov 2022 01:01:37 GMT",
"version": "v3"
}
] |
2022-11-18
|
[
[
"Karabali",
"Dimitra",
""
],
[
"Maj",
"Antonina",
""
],
[
"Nair",
"V. P.",
""
]
] |
A parametrization of gauge fields on complex projective spaces of arbitrary dimension is given as a generalization of the two-dimensional case. Gauge transformations act homogeneously on the fields, facilitating a manifestly gauge-invariant analysis. Specializing to four dimensions, we consider the nature of the effective action due to chiral scalars interacting with the gauge fields. The key qualitatively significant terms include a possible gauge-invariant mass term and a finite four-dimensional Wess-Zumino-Witten (WZW) action. We comment on relating the mass term to lattice simulations as well as Schwinger-Dyson analyses, and also on relating the WZW action to the instanton liquid picture of QCD.
| 10.101667 | 9.03417 | 9.936602 | 9.393049 | 9.222975 | 9.605733 | 8.885433 | 8.928769 | 8.98546 | 10.238411 | 9.077669 | 9.683759 | 9.659611 | 9.738722 | 9.7682 | 9.551657 | 10.086244 | 9.807858 | 9.387215 | 9.560908 | 9.429839 |
hep-th/0102016
|
M. B. Paranjape
|
Avinash Khare and M. B. Paranjape
|
Solitons in 2+1 Dimensional Non-Commutative Maxwell Chern-Simons Higgs
Theories
|
17 pages, no figures, slightly corrected and expanded version,
erroneous ancillary comments removed, references added
|
JHEP 0104:002,2001
|
10.1088/1126-6708/2001/04/002
|
UdeM-GPP-TH-01-81, DFTUZ/01/01
|
hep-th
| null |
We find soliton solutions in the 2+1 dimensional non-commutative Maxwell
Chern-Simons Higgs theories. In the limit of the Chern-Simons coefficient going
to zero, these solutions go over to the previously found solutions in the
non-commutative Maxwell Higgs theories. The new solutions may have relevance in
the theory of the fractional quantum Hall effect and possibly in string vacua
corresponding to open strings terminating on D2 branes in the presence of D0
branes.
|
[
{
"created": "Sun, 4 Feb 2001 20:51:19 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Feb 2001 09:00:45 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Khare",
"Avinash",
""
],
[
"Paranjape",
"M. B.",
""
]
] |
We find soliton solutions in the 2+1 dimensional non-commutative Maxwell Chern-Simons Higgs theories. In the limit of the Chern-Simons coefficient going to zero, these solutions go over to the previously found solutions in the non-commutative Maxwell Higgs theories. The new solutions may have relevance in the theory of the fractional quantum Hall effect and possibly in string vacua corresponding to open strings terminating on D2 branes in the presence of D0 branes.
| 6.860374 | 5.837314 | 6.586259 | 5.358788 | 5.809362 | 5.524442 | 5.742423 | 6.220554 | 5.636823 | 6.487855 | 5.245159 | 5.49814 | 5.912645 | 5.715441 | 5.595866 | 5.64882 | 5.376358 | 5.458982 | 5.493877 | 5.704503 | 5.276699 |
hep-th/9609197
|
Holger Gies
|
Walter Dittrich, Holger Gies (Univ. Tuebingen, Germany)
|
Flavor Condensate and Vacuum (In-)Stability in QED_(2+1)
|
14 pages, uses REVTeX
|
Phys.Lett. B392 (1997) 182-188
|
10.1016/S0370-2693(96)01507-9
| null |
hep-th
| null |
In this letter we study (2+1)-dimensional QED. The first part contains the
computation of the flavor symmetry-breaking condensate and its relation to the
trace of the energy-momentum tensor, while the second part is concerned with
the computation of the effective action allowing for non-constant static
external magnetic fields. We do not find that space derivatives in the magnetic
field lower the energy of the ground state as compared to a constant field
configuration.
|
[
{
"created": "Wed, 25 Sep 1996 08:24:21 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Dittrich",
"Walter",
"",
"Univ. Tuebingen, Germany"
],
[
"Gies",
"Holger",
"",
"Univ. Tuebingen, Germany"
]
] |
In this letter we study (2+1)-dimensional QED. The first part contains the computation of the flavor symmetry-breaking condensate and its relation to the trace of the energy-momentum tensor, while the second part is concerned with the computation of the effective action allowing for non-constant static external magnetic fields. We do not find that space derivatives in the magnetic field lower the energy of the ground state as compared to a constant field configuration.
| 10.484341 | 10.660903 | 10.322772 | 9.162209 | 9.579329 | 9.661014 | 10.057519 | 9.461602 | 8.44882 | 11.597237 | 9.218144 | 9.901748 | 10.044517 | 9.27125 | 9.591427 | 9.711423 | 9.592791 | 9.635767 | 9.707438 | 9.891071 | 9.802347 |
1407.6281
|
Emil Nissimov
|
Eduardo Guendelman, Emil Nissimov, Svetlana Pacheva
|
Unification of Inflation and Dark Energy from Spontaneous Breaking of
Scale Invariance
|
v.1 LaTeX, 6 pages; v.2 reference added, typo corrected; v.3
significant upgrade - 11 pages, new section about canonical Hamiltonian
treatment added, extended discussion and conclusions, additional citations;
v.4 minor improvement in Sect.3, to appear in Proc. of VIII-th Math. Physics
Meeting, B. Dragovich et.al. (eds), Belgrade Inst. Phys. Press (2015)
|
"Eight Mathematical Physics Meeting'', pp.93-103, B. Dragovic and
I. Salom (eds.), Belgrade Inst. Phys. Press (2015)
| null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a new class of gravity-matter models defined in terms of two
independent non-Riemannian volume forms (alternative generally covariant
integration measure densities) on the spacetime manifold. For the matter we
choose appropriate scalar field potentials of exponential form so that the full
gravity-matter system is invariant under global Weyl-scale symmetry. Solution
of the pertinent equations of motion produce two dimensionful integration
constants which spontaneously break global Weyl-scale invariance. In the
resulting effective Einstein-frame gravity-matter system we obtain an effective
potential for the scalar matter field which has an interesting cosmological
application, namely, it allows for a unified description of both an early
universe inflation and present day dark energy.
|
[
{
"created": "Wed, 23 Jul 2014 16:14:24 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Jul 2014 07:47:41 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Jan 2015 11:56:17 GMT",
"version": "v3"
},
{
"created": "Thu, 22 Jan 2015 15:20:23 GMT",
"version": "v4"
}
] |
2015-07-23
|
[
[
"Guendelman",
"Eduardo",
""
],
[
"Nissimov",
"Emil",
""
],
[
"Pacheva",
"Svetlana",
""
]
] |
We propose a new class of gravity-matter models defined in terms of two independent non-Riemannian volume forms (alternative generally covariant integration measure densities) on the spacetime manifold. For the matter we choose appropriate scalar field potentials of exponential form so that the full gravity-matter system is invariant under global Weyl-scale symmetry. Solution of the pertinent equations of motion produce two dimensionful integration constants which spontaneously break global Weyl-scale invariance. In the resulting effective Einstein-frame gravity-matter system we obtain an effective potential for the scalar matter field which has an interesting cosmological application, namely, it allows for a unified description of both an early universe inflation and present day dark energy.
| 10.366816 | 8.519054 | 9.146977 | 8.294979 | 10.071419 | 10.005762 | 10.447396 | 7.590181 | 8.76832 | 9.906569 | 9.630233 | 9.785049 | 9.755601 | 9.012885 | 9.412937 | 9.640441 | 9.718008 | 9.364468 | 9.451098 | 10.030469 | 9.574717 |
2012.11029
|
Anthony Ashmore
|
Anthony Ashmore, Sebastian Dumitru, Burt A. Ovrut
|
Explicit Soft Supersymmetry Breaking in the Heterotic M-Theory $B-L$
MSSM
|
v2: typos corrected; 58 pages, 7 figures
| null |
10.1007/JHEP08(2021)033
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The strongly coupled heterotic M-theory vacuum for both the observable and
hidden sectors of the $B-L$ MSSM theory is reviewed, including a discussion of
the "bundle" constraints that both the observable sector $SU(4)$ vector bundle
and the a hidden sector bundle induced from a line bundle must satisfy. Gaugino
condensation is then introduced within this context, and the hidden sector
bundles that exhibit gaugino condensation are presented. The condensation scale
is computed, singling out one line bundle whose associated condensation scale
is low enough to be compatible with the energy scales available at the LHC. The
corresponding region of K\"ahler moduli space where all bundle constraints are
satisfied is presented. The generic form of the moduli dependent $F$-terms due
to a gaugino superpotential - which spontaneously break $N=1$ supersymmetry in
this sector - is presented and then given explicitly for the unique line bundle
associated with the low condensation scale. The moduli dependent coefficients
for each of the gaugino and scalar field soft supersymmetry breaking terms are
computed leading to a low-energy effective Lagrangian for the observable sector
matter fields. We then show that at a large number of points in K\"ahler moduli
space that satisfy all "bundle" constraints, these coefficients are initial
conditions for the renormalization group equations which, at low energy, lead
to completely realistic physics satisfying all phenomenological constraints.
Finally, we show that a substantial number of these initial points also satisfy
a final constraint arising from the quadratic Higgs-Higgs conjugate soft
supersymmetry breaking term.
|
[
{
"created": "Sun, 20 Dec 2020 21:38:25 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Mar 2021 17:46:51 GMT",
"version": "v2"
}
] |
2021-09-01
|
[
[
"Ashmore",
"Anthony",
""
],
[
"Dumitru",
"Sebastian",
""
],
[
"Ovrut",
"Burt A.",
""
]
] |
The strongly coupled heterotic M-theory vacuum for both the observable and hidden sectors of the $B-L$ MSSM theory is reviewed, including a discussion of the "bundle" constraints that both the observable sector $SU(4)$ vector bundle and the a hidden sector bundle induced from a line bundle must satisfy. Gaugino condensation is then introduced within this context, and the hidden sector bundles that exhibit gaugino condensation are presented. The condensation scale is computed, singling out one line bundle whose associated condensation scale is low enough to be compatible with the energy scales available at the LHC. The corresponding region of K\"ahler moduli space where all bundle constraints are satisfied is presented. The generic form of the moduli dependent $F$-terms due to a gaugino superpotential - which spontaneously break $N=1$ supersymmetry in this sector - is presented and then given explicitly for the unique line bundle associated with the low condensation scale. The moduli dependent coefficients for each of the gaugino and scalar field soft supersymmetry breaking terms are computed leading to a low-energy effective Lagrangian for the observable sector matter fields. We then show that at a large number of points in K\"ahler moduli space that satisfy all "bundle" constraints, these coefficients are initial conditions for the renormalization group equations which, at low energy, lead to completely realistic physics satisfying all phenomenological constraints. Finally, we show that a substantial number of these initial points also satisfy a final constraint arising from the quadratic Higgs-Higgs conjugate soft supersymmetry breaking term.
| 9.170445 | 9.409131 | 9.008901 | 8.541882 | 9.063718 | 9.334811 | 9.471338 | 9.090776 | 8.844584 | 9.984374 | 9.065575 | 9.007814 | 8.76416 | 8.689678 | 8.855068 | 8.835837 | 8.758378 | 8.749723 | 8.71623 | 8.881803 | 8.841162 |
hep-th/0412144
|
Marco DIas M. D.
|
Antonio Accioly and Marco Dias
|
Boson-boson effective nonrelativistic potential for higher-derivative
electromagnetic theories in D dimensions
|
6 pages
|
Phys.Rev. D70 (2004) 107705
|
10.1103/PhysRevD.70.107705
| null |
hep-th
| null |
The problem of computing the effective nonrelativistic potential $U_{D}$ for
the interaction of charged scalar bosons within the context of D-dimensional
electromagnetism with a cutoff, is reduced to quadratures. It is shown that
$U_3$ cannot bind a pair of identical charged scalar bosons; nevertheless,
numerical calculations indicate that boson-boson bound states do exist in the
framework of three-dimensional higher-derivative electromagnetism augmented by
a topological Chern-Simons term.
|
[
{
"created": "Tue, 14 Dec 2004 11:40:17 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Accioly",
"Antonio",
""
],
[
"Dias",
"Marco",
""
]
] |
The problem of computing the effective nonrelativistic potential $U_{D}$ for the interaction of charged scalar bosons within the context of D-dimensional electromagnetism with a cutoff, is reduced to quadratures. It is shown that $U_3$ cannot bind a pair of identical charged scalar bosons; nevertheless, numerical calculations indicate that boson-boson bound states do exist in the framework of three-dimensional higher-derivative electromagnetism augmented by a topological Chern-Simons term.
| 10.377422 | 9.196555 | 10.423612 | 9.086966 | 9.783186 | 9.949609 | 8.888631 | 9.400702 | 9.669596 | 11.027965 | 9.304788 | 9.720339 | 9.820783 | 9.808877 | 9.412325 | 9.424003 | 9.566605 | 9.383341 | 9.444534 | 9.51629 | 9.730587 |
1502.07417
|
Peter M. Lavrov
|
Igor A. Batalin and Peter M. Lavrov
|
Does the nontrivially deformed field-antifield formalism exist?
|
29 pages, no figures, v2: minor changes in Sec.7, v3: typos
corrected, v4: corrections in (B.9), (B.12), (B.13), published version, v5:
Section 4 extended, v6: Section 5 extended
|
Int. J. Mod. Phys. A30 (2015) 1550090
|
10.1142/S0217751X15500906
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We reformulate the Lagrange deformed field-antifield BV -formalism suggested,
in terms of the general Euler vector field $N$ generated by the antisymplectic
potential. That $N$ generalizes, in a natural anticanonically-invariant manner,
the usual power-counting operator. We provide for the "usual" gauge-fixing
mechanism as applied to the deformed BV -formalism.
|
[
{
"created": "Thu, 26 Feb 2015 03:21:33 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Mar 2015 16:26:14 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Mar 2015 06:12:51 GMT",
"version": "v3"
},
{
"created": "Fri, 27 Mar 2015 03:10:28 GMT",
"version": "v4"
},
{
"created": "Sat, 11 Jul 2015 06:42:05 GMT",
"version": "v5"
},
{
"created": "Wed, 6 Sep 2017 13:35:12 GMT",
"version": "v6"
},
{
"created": "Thu, 14 Sep 2017 13:30:39 GMT",
"version": "v7"
}
] |
2017-09-15
|
[
[
"Batalin",
"Igor A.",
""
],
[
"Lavrov",
"Peter M.",
""
]
] |
We reformulate the Lagrange deformed field-antifield BV -formalism suggested, in terms of the general Euler vector field $N$ generated by the antisymplectic potential. That $N$ generalizes, in a natural anticanonically-invariant manner, the usual power-counting operator. We provide for the "usual" gauge-fixing mechanism as applied to the deformed BV -formalism.
| 21.152155 | 23.631487 | 27.392334 | 19.479275 | 21.633806 | 24.626965 | 22.857693 | 19.855165 | 19.921167 | 22.64345 | 18.322054 | 19.468758 | 21.349874 | 20.069809 | 20.39448 | 19.632029 | 20.053694 | 19.905596 | 19.039278 | 21.469574 | 19.148794 |
0706.4070
|
Daniel Grumiller
|
M. Adak and D. Grumiller
|
Poisson-sigma model for 2D gravity with non-metricity
|
9 pages
|
Class.Quant.Grav.24:F65-F72,2007
|
10.1088/0264-9381/24/20/F01
|
MIT-CTP 3842
|
hep-th gr-qc math-ph math.MP
| null |
We present a Poisson-sigma model describing general 2D dilaton gravity with
non-metricity, torsion and curvature. It involves three arbitrary functions of
the dilaton field, two of which are well-known from metric compatible theories,
while the third one characterizes the local strength of non-metricity. As an
example we show that alpha' corrections in 2D string theory can generate
(target space) non-metricity.
|
[
{
"created": "Wed, 27 Jun 2007 18:34:01 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jun 2007 20:42:38 GMT",
"version": "v2"
}
] |
2010-11-02
|
[
[
"Adak",
"M.",
""
],
[
"Grumiller",
"D.",
""
]
] |
We present a Poisson-sigma model describing general 2D dilaton gravity with non-metricity, torsion and curvature. It involves three arbitrary functions of the dilaton field, two of which are well-known from metric compatible theories, while the third one characterizes the local strength of non-metricity. As an example we show that alpha' corrections in 2D string theory can generate (target space) non-metricity.
| 9.645597 | 8.526999 | 9.751957 | 8.452588 | 8.965472 | 9.256576 | 8.847463 | 8.299496 | 8.785672 | 9.139056 | 8.805724 | 9.325553 | 9.127693 | 9.084602 | 9.025038 | 9.185147 | 9.216768 | 8.28073 | 8.97643 | 8.920226 | 8.754164 |
1412.8703
|
Sangmin Lee
|
Sangmin Lee, Daisuke Yokoyama
|
Geometric free energy of toric AdS4/CFT3 models
|
39 pages, 21 figures; v2. references added, minor improvements
| null | null |
SNUTP14-009/KIAS-P14061
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the supersymmetric free energy of three dimensional
Chern-Simons-matter theories holographically dual to AdS$_4$ times toric
Sasaki-Einstein seven-manifolds. In the large $N$ limit, we argue that the
square of the free energy can be written as a quartic polynomial of trial
R-charges. The coefficients of the polynomial are determined geometrically from
the toric diagrams. We present the coefficients of the quartic polynomial
explicitly for generic toric diagrams with up to 6 vertices, and some
particular diagrams with 8 vertices. Decomposing the trial R-charges into
mesonic and baryonic variables, and eliminating the baryonic ones, we show that
the quartic polynomial reproduces the inverse of the Martelli-Sparks-Yau volume
function. On the gravity side, we explore the possibility of using the same
quartic polynomial as the prepotential in the AdS gauged supergravity.
Comparing Kaluza-Klein gravity and gauged supergravity descriptions, we find
perfect agreement in the mesonic sector but some discrepancy in the baryonic
sector.
|
[
{
"created": "Tue, 30 Dec 2014 17:49:22 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jan 2015 15:24:47 GMT",
"version": "v2"
}
] |
2015-01-23
|
[
[
"Lee",
"Sangmin",
""
],
[
"Yokoyama",
"Daisuke",
""
]
] |
We study the supersymmetric free energy of three dimensional Chern-Simons-matter theories holographically dual to AdS$_4$ times toric Sasaki-Einstein seven-manifolds. In the large $N$ limit, we argue that the square of the free energy can be written as a quartic polynomial of trial R-charges. The coefficients of the polynomial are determined geometrically from the toric diagrams. We present the coefficients of the quartic polynomial explicitly for generic toric diagrams with up to 6 vertices, and some particular diagrams with 8 vertices. Decomposing the trial R-charges into mesonic and baryonic variables, and eliminating the baryonic ones, we show that the quartic polynomial reproduces the inverse of the Martelli-Sparks-Yau volume function. On the gravity side, we explore the possibility of using the same quartic polynomial as the prepotential in the AdS gauged supergravity. Comparing Kaluza-Klein gravity and gauged supergravity descriptions, we find perfect agreement in the mesonic sector but some discrepancy in the baryonic sector.
| 6.286136 | 6.399012 | 7.301065 | 6.110822 | 6.352211 | 6.249086 | 6.21646 | 6.159348 | 6.04457 | 7.350704 | 5.984601 | 6.216846 | 6.740441 | 6.04879 | 6.063594 | 6.008009 | 6.176277 | 5.951523 | 6.124528 | 6.45923 | 5.990542 |
0912.1556
|
Fredrik Ohlsson
|
Fredrik Ohlsson
|
Finite energy shifts in SU(n) supersymmetric Yang-Mills theory on T^3xR
at weak coupling
|
31 pages, 1 figure, v4 Minor changes, references corrected
|
Phys.Rev.D81:125018,2010
|
10.1103/PhysRevD.81.125018
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a semi-classical treatment, in the regime of weak gauge coupling,
of supersymmetric Yang-Mills theory in a space-time of the form T^3xR with
SU(n)/Z_n gauge group and a non-trivial gauge bundle. More specifically, we
consider the theories obtained as power series expansions around a certain
class of normalizable vacua of the classical theory, corresponding to isolated
points in the moduli space of flat connections, and the perturbative
corrections to the free energy eigenstates and eigenvalues in the weakly
interacting theory. The perturbation theory construction of the interacting
Hilbert space is complicated by the divergence of the norm of the interacting
states. Consequently, the free and interacting Hilbert furnish unitarily
inequivalent representation of the algebra of creation and annihilation
operators of the quantum theory. We discuss a consistent redefinition of the
Hilbert space norm to obtain the interacting Hilbert space and the properties
of the interacting representation. In particular, we consider the lowest
non-vanishing corrections to the free energy spectrum and discuss the crucial
importance of supersymmetry for these corrections to be finite.
|
[
{
"created": "Tue, 8 Dec 2009 17:55:37 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Dec 2009 08:39:26 GMT",
"version": "v2"
},
{
"created": "Fri, 5 Mar 2010 11:42:39 GMT",
"version": "v3"
},
{
"created": "Tue, 9 Mar 2010 12:20:02 GMT",
"version": "v4"
}
] |
2011-02-28
|
[
[
"Ohlsson",
"Fredrik",
""
]
] |
We consider a semi-classical treatment, in the regime of weak gauge coupling, of supersymmetric Yang-Mills theory in a space-time of the form T^3xR with SU(n)/Z_n gauge group and a non-trivial gauge bundle. More specifically, we consider the theories obtained as power series expansions around a certain class of normalizable vacua of the classical theory, corresponding to isolated points in the moduli space of flat connections, and the perturbative corrections to the free energy eigenstates and eigenvalues in the weakly interacting theory. The perturbation theory construction of the interacting Hilbert space is complicated by the divergence of the norm of the interacting states. Consequently, the free and interacting Hilbert furnish unitarily inequivalent representation of the algebra of creation and annihilation operators of the quantum theory. We discuss a consistent redefinition of the Hilbert space norm to obtain the interacting Hilbert space and the properties of the interacting representation. In particular, we consider the lowest non-vanishing corrections to the free energy spectrum and discuss the crucial importance of supersymmetry for these corrections to be finite.
| 8.301417 | 9.320854 | 9.607988 | 8.496133 | 9.101627 | 8.773803 | 8.911226 | 8.940564 | 8.327553 | 8.956742 | 8.53575 | 8.215513 | 8.543237 | 8.443578 | 8.475217 | 8.282746 | 8.258165 | 8.457193 | 8.448961 | 8.661527 | 8.317768 |
1209.1019
|
Li Li
|
Rong-Gen Cai, Song He, Li Li, Li-Fang Li
|
Entanglement Entropy and Wilson Loop in St\"{u}ckelberg Holographic
Insulator/Superconductor Model
|
23 pages,12 figures. v2: typos corrected, accepted in JHEP
|
JHEP 1210 (2012) 107
|
10.1007/JHEP10(2012)107
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the behaviors of entanglement entropy and vacuum expectation value
of Wilson loop in the St\"{u}ckelberg holographic insulator/superconductor
model. This model has rich phase structures depending on model parameters. Both
the entanglement entropy for a strip geometry and the heavy quark potential
from the Wilson loop show that there exists a "confinement/deconfinement" phase
transition. In addition, we find that the non-monotonic behavior of the
entanglement entropy with respect to chemical potential is universal in this
model. The pseudo potential from the spatial Wilson loop also has a similar
non-monotonic behavior. It turns out that the entanglement entropy and Wilson
loop are good probes to study the properties of the holographic superconductor
phase transition.
|
[
{
"created": "Wed, 5 Sep 2012 15:48:52 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Oct 2012 13:26:51 GMT",
"version": "v2"
}
] |
2012-12-17
|
[
[
"Cai",
"Rong-Gen",
""
],
[
"He",
"Song",
""
],
[
"Li",
"Li",
""
],
[
"Li",
"Li-Fang",
""
]
] |
We study the behaviors of entanglement entropy and vacuum expectation value of Wilson loop in the St\"{u}ckelberg holographic insulator/superconductor model. This model has rich phase structures depending on model parameters. Both the entanglement entropy for a strip geometry and the heavy quark potential from the Wilson loop show that there exists a "confinement/deconfinement" phase transition. In addition, we find that the non-monotonic behavior of the entanglement entropy with respect to chemical potential is universal in this model. The pseudo potential from the spatial Wilson loop also has a similar non-monotonic behavior. It turns out that the entanglement entropy and Wilson loop are good probes to study the properties of the holographic superconductor phase transition.
| 5.294078 | 4.91948 | 5.266861 | 4.67073 | 4.628215 | 4.296928 | 4.868482 | 4.825726 | 4.851107 | 5.482826 | 4.594105 | 4.662877 | 4.970716 | 4.986227 | 4.896744 | 4.860381 | 4.836375 | 4.873155 | 4.932344 | 5.041366 | 4.855921 |
1106.4010
|
Stefan Janiszewski
|
Stefan Janiszewski and Andreas Karch
|
Moving Defects in AdS/CFT
|
24 pages, 7 figures. Version 2 contains two added references
| null |
10.1007/JHEP11(2011)044
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study defects of various dimensions moving through Anti-de Sitter space.
Using the AdS/CFT correspondence this allows us to probe aspects of the dual
quantum field theory. We focus on the energy loss experienced by these defects
as they move through the CFT plasma. We find that the behavior of these
physical quantities is governed by induced world-volume horizons. We identify
world-volume analogs for several gravitational phenomena including black holes,
the Hawking-Page phase transition and expanding cosmological horizons.
|
[
{
"created": "Mon, 20 Jun 2011 20:00:05 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Aug 2011 01:29:46 GMT",
"version": "v2"
}
] |
2015-05-28
|
[
[
"Janiszewski",
"Stefan",
""
],
[
"Karch",
"Andreas",
""
]
] |
We study defects of various dimensions moving through Anti-de Sitter space. Using the AdS/CFT correspondence this allows us to probe aspects of the dual quantum field theory. We focus on the energy loss experienced by these defects as they move through the CFT plasma. We find that the behavior of these physical quantities is governed by induced world-volume horizons. We identify world-volume analogs for several gravitational phenomena including black holes, the Hawking-Page phase transition and expanding cosmological horizons.
| 11.677155 | 8.703599 | 12.810961 | 9.338238 | 9.823812 | 10.196435 | 9.349407 | 9.120625 | 9.135886 | 12.069426 | 9.224644 | 9.7357 | 10.627369 | 9.445881 | 9.490349 | 9.656026 | 9.546891 | 9.898603 | 9.596725 | 11.100763 | 9.69961 |
hep-th/0411163
|
Nick Dorey
|
Nick Dorey and Timothy J. Hollowood
|
On the Coulomb Branch of a Marginal Deformation of N=4 SUSY Yang-Mills
|
LaTeX file. 48 pages
|
JHEP0506:036,2005
|
10.1088/1126-6708/2005/06/036
| null |
hep-th
| null |
We determine the exact vacuum structure of a marginal deformation of N=4 SUSY
Yang-Mills with gauge group U(N). The Coulomb branch of the theory consists of
several sub-branches which are governed by complex curves of the form
Sigma_{n_{1}} U Sigma_{n_{2}} U Sigma_{n_{3}} of genus N=n_{1}+n_{2}+n_{3}.
Each sub-branch intersects with a family of Higgs and Confining branches
permuted by SL(2,Z) transformations. We determine the curve by solving a
related matrix model in the planar limit according to the prescription of
Dijkgraaf and Vafa, and also by explicit instanton calculations using a form of
localization on the instanton moduli space. We find that Sigma_{n} coincides
with the spectral curve of the n-body Ruijsenaars-Schneider system. Our results
imply that the theory on each sub-branch is holomorphically equivalent to
certain five-dimensional gauge theory with eight supercharges. This equivalence
also implies the existence of novel confining branches in five dimensions.
|
[
{
"created": "Thu, 18 Nov 2004 14:26:54 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Dorey",
"Nick",
""
],
[
"Hollowood",
"Timothy J.",
""
]
] |
We determine the exact vacuum structure of a marginal deformation of N=4 SUSY Yang-Mills with gauge group U(N). The Coulomb branch of the theory consists of several sub-branches which are governed by complex curves of the form Sigma_{n_{1}} U Sigma_{n_{2}} U Sigma_{n_{3}} of genus N=n_{1}+n_{2}+n_{3}. Each sub-branch intersects with a family of Higgs and Confining branches permuted by SL(2,Z) transformations. We determine the curve by solving a related matrix model in the planar limit according to the prescription of Dijkgraaf and Vafa, and also by explicit instanton calculations using a form of localization on the instanton moduli space. We find that Sigma_{n} coincides with the spectral curve of the n-body Ruijsenaars-Schneider system. Our results imply that the theory on each sub-branch is holomorphically equivalent to certain five-dimensional gauge theory with eight supercharges. This equivalence also implies the existence of novel confining branches in five dimensions.
| 7.343825 | 6.914613 | 8.833128 | 7.2987 | 7.085435 | 6.83251 | 7.447965 | 6.948122 | 7.169896 | 10.049916 | 7.191368 | 7.326429 | 7.772013 | 7.378827 | 7.201553 | 7.122375 | 7.009672 | 7.036392 | 7.15796 | 7.857269 | 7.197771 |
hep-th/9804150
|
Dr R. Szabo
|
Richard J. Szabo
|
String Holonomy and Extrinsic Geometry in Four-dimensional Topological
Gauge Theory
|
35 pages LaTeX; references and minor comments added
|
Nucl.Phys.B531:525-559,1998
|
10.1016/S0550-3213(98)00586-0
|
OUTP-98-31P
|
hep-th cond-mat math-ph math.DG math.MP
| null |
The most general gauge-invariant marginal deformation of four-dimensional
abelian BF-type topological field theory is studied. It is shown that the
deformed quantum field theory is topological and that its observables compute,
in addition to the usual linking numbers, smooth intersection indices of
immersed surfaces which are related to the Euler and Chern characteristic
classes of their normal bundles in the underlying spacetime manifold. Canonical
quantization of the theory coupled to non-dynamical particle and string sources
is carried out in the Hamiltonian formalism and explicit solutions of the
Schroedinger equation are obtained. The wavefunctions carry a one-dimensional
unitary representation of the particle-string exchange holonomies and of
non-topological string-string intersection holonomies given by adiabatic limits
of the worldsheet Euler numbers. They also carry a multi-dimensional projective
representation of the deRham complex of the underlying spatial manifold and
define a generalization of the presentation of its motion group from Euclidean
space to an arbitrary 3-manifold. Some potential physical applications of the
topological field theory as a dual model for effective vortex strings are
discussed.
|
[
{
"created": "Wed, 22 Apr 1998 19:57:32 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jul 1998 15:03:53 GMT",
"version": "v2"
}
] |
2011-07-21
|
[
[
"Szabo",
"Richard J.",
""
]
] |
The most general gauge-invariant marginal deformation of four-dimensional abelian BF-type topological field theory is studied. It is shown that the deformed quantum field theory is topological and that its observables compute, in addition to the usual linking numbers, smooth intersection indices of immersed surfaces which are related to the Euler and Chern characteristic classes of their normal bundles in the underlying spacetime manifold. Canonical quantization of the theory coupled to non-dynamical particle and string sources is carried out in the Hamiltonian formalism and explicit solutions of the Schroedinger equation are obtained. The wavefunctions carry a one-dimensional unitary representation of the particle-string exchange holonomies and of non-topological string-string intersection holonomies given by adiabatic limits of the worldsheet Euler numbers. They also carry a multi-dimensional projective representation of the deRham complex of the underlying spatial manifold and define a generalization of the presentation of its motion group from Euclidean space to an arbitrary 3-manifold. Some potential physical applications of the topological field theory as a dual model for effective vortex strings are discussed.
| 12.43791 | 14.313008 | 15.049769 | 13.165586 | 13.65388 | 14.038245 | 12.611614 | 13.252688 | 12.880823 | 14.643719 | 12.837293 | 12.870153 | 13.358863 | 12.327964 | 12.758962 | 12.324121 | 12.577806 | 12.959787 | 12.178234 | 12.748255 | 12.121573 |
hep-th/0606095
|
Tatsuo Kobayashi
|
Hiroyuki Abe, Tetsutaro Higaki and Tatsuo Kobayashi
|
Remark on integrating out heavy moduli in flux compactification
|
16 pages, latex
|
Phys.Rev.D74:045012,2006
|
10.1103/PhysRevD.74.045012
| null |
hep-th
| null |
We study two steps of moduli stabilization in type IIB flux compactification
with gaugino condensations. We consider the condition that one can integrate
out heavy moduli first with light moduli remaining. We give appendix, where
detail study is carried out for potential minima of the model with a six
dimensional compact space with $h_{1,1}=h_{2,1}=1$, including the model, whose
respective moduli with $h_{1,1}, h_{2,1} \neq 1$ are identified.
|
[
{
"created": "Sat, 10 Jun 2006 06:36:35 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Abe",
"Hiroyuki",
""
],
[
"Higaki",
"Tetsutaro",
""
],
[
"Kobayashi",
"Tatsuo",
""
]
] |
We study two steps of moduli stabilization in type IIB flux compactification with gaugino condensations. We consider the condition that one can integrate out heavy moduli first with light moduli remaining. We give appendix, where detail study is carried out for potential minima of the model with a six dimensional compact space with $h_{1,1}=h_{2,1}=1$, including the model, whose respective moduli with $h_{1,1}, h_{2,1} \neq 1$ are identified.
| 11.904311 | 10.779244 | 11.972772 | 10.778432 | 12.166188 | 10.842032 | 11.314176 | 12.004147 | 11.337006 | 13.182492 | 10.930153 | 11.212796 | 11.026097 | 10.902919 | 10.815389 | 11.373324 | 11.030091 | 11.210115 | 10.339309 | 11.13061 | 10.577596 |
1308.4914
|
Andre Gomes A. H. Gomes
|
Daniel H. T. Franco, and Andr\'e H. Gomes
|
No one-loop gauge anomalies for a Lorentz-violating quantum
electrodynamics: Evaluation of the three-photon vertex
| null |
J. Phys. A: Math. Theor. 46, 045401 (2013)
|
10.1088/1751-8113/46/4/045401
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Identification of the diagrams that can lead to gauge anomalies in the
(minimal) Lorentz- and $CPT$-violating extension of quantum electrodynamics
reveals these are the electron self-energy and vertex correction (related to
the Ward-Takahashi identity), the photon self-energy (related to the vacuum
polarization tensor transversality), and the three-photon vertex diagrams. All
but the latter were explicitly verified to be free of anomalies to first order
in loop expansion. Here we provide this remaining evaluation and verify the
absence of anomalies in this process.
|
[
{
"created": "Thu, 22 Aug 2013 16:28:43 GMT",
"version": "v1"
}
] |
2013-08-23
|
[
[
"Franco",
"Daniel H. T.",
""
],
[
"Gomes",
"André H.",
""
]
] |
Identification of the diagrams that can lead to gauge anomalies in the (minimal) Lorentz- and $CPT$-violating extension of quantum electrodynamics reveals these are the electron self-energy and vertex correction (related to the Ward-Takahashi identity), the photon self-energy (related to the vacuum polarization tensor transversality), and the three-photon vertex diagrams. All but the latter were explicitly verified to be free of anomalies to first order in loop expansion. Here we provide this remaining evaluation and verify the absence of anomalies in this process.
| 11.885539 | 10.339265 | 12.479318 | 10.846078 | 11.708613 | 11.63716 | 11.494721 | 9.615746 | 10.590534 | 12.595977 | 9.850019 | 10.620902 | 11.201664 | 10.666575 | 10.583802 | 10.848026 | 10.832511 | 10.463472 | 10.53766 | 11.16766 | 10.562166 |
hep-th/9308146
|
Tjark Tjin
|
T.Tjin
|
Finite and Infinite W Algebras and their Applications
|
172 pages, latex, (Ph.D. Thesis)
| null | null | null |
hep-th
| null |
In this paper we present a systematic study of $W$ algebras from the
Hamiltonian reduction point of view. The Drinfeld-Sokolov (DS) reduction scheme
is generalized to arbitrary $sl_2$ embeddings thus showing that a large class
of W algebras can be viewed as reductions of affine Lie algebras. The
hierarchies of integrable evolution equations associated to these classical W
algebras are constructed as well as the generalized Toda field theories which
have them as Noether symmetry algebras. The problem of quantising the DS
reductions is solved for arbitrary $sl_2$ embeddings and it is shown that any W
algebra can be embedded into an affine Lie algebra. This also provides us with
an algorithmic method to write down free field realizations for arbitrary W
algebras. Just like affine Lie algebras W algebras have finite underlying
structures called `finite W algebras'. We study the classical and quantum
theory of these algebras, which play an important role in the theory of
ordinary W algebras, in detail as well as some aspects of their representation
theory. The symplectic leaves (or W-coadjoint orbits) associated to arbitrary
finite W algebras are determined as well as their realization in terms of
bosoic oscillators. Apart from these technical aspects we also review the
potential applications of W symmetry to string theory, 2-dimensional critical
phenomena, the quantum Hall effect and solitary wave phenomena. This work is
based on the Ph.D. thesis of the author.
|
[
{
"created": "Mon, 30 Aug 1993 12:32:20 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Tjin",
"T.",
""
]
] |
In this paper we present a systematic study of $W$ algebras from the Hamiltonian reduction point of view. The Drinfeld-Sokolov (DS) reduction scheme is generalized to arbitrary $sl_2$ embeddings thus showing that a large class of W algebras can be viewed as reductions of affine Lie algebras. The hierarchies of integrable evolution equations associated to these classical W algebras are constructed as well as the generalized Toda field theories which have them as Noether symmetry algebras. The problem of quantising the DS reductions is solved for arbitrary $sl_2$ embeddings and it is shown that any W algebra can be embedded into an affine Lie algebra. This also provides us with an algorithmic method to write down free field realizations for arbitrary W algebras. Just like affine Lie algebras W algebras have finite underlying structures called `finite W algebras'. We study the classical and quantum theory of these algebras, which play an important role in the theory of ordinary W algebras, in detail as well as some aspects of their representation theory. The symplectic leaves (or W-coadjoint orbits) associated to arbitrary finite W algebras are determined as well as their realization in terms of bosoic oscillators. Apart from these technical aspects we also review the potential applications of W symmetry to string theory, 2-dimensional critical phenomena, the quantum Hall effect and solitary wave phenomena. This work is based on the Ph.D. thesis of the author.
| 6.842194 | 6.711051 | 7.746634 | 6.442825 | 6.865912 | 7.026295 | 7.025375 | 6.831937 | 6.547082 | 7.729359 | 6.28756 | 6.540843 | 6.64095 | 6.552135 | 6.74901 | 6.661496 | 6.428742 | 6.432424 | 6.622466 | 6.69423 | 6.372971 |
1312.6523
|
Leron Borsten
|
A. Anastasiou, L. Borsten, M. J. Duff, L. J. Hughes and S. Nagy
|
A magic pyramid of supergravities
|
30 pages, 6 figures. Updated to match published version. References
and comments added
|
Journal of High Energy Physics, April 2014, 2014:178,
|
10.1007/JHEP04(2014)178
|
Imperial/TP/2013/mjd/03
|
hep-th math.DG math.GR math.RA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By formulating N = 1, 2, 4, 8, D = 3, Yang-Mills with a single Lagrangian and
single set of transformation rules, but with fields valued respectively in
R,C,H,O, it was recently shown that tensoring left and right multiplets yields
a Freudenthal-Rosenfeld-Tits magic square of D = 3 supergravities. This was
subsequently tied in with the more familiar R,C,H,O description of spacetime to
give a unified division-algebraic description of extended super Yang-Mills in D
= 3, 4, 6, 10. Here, these constructions are brought together resulting in a
magic pyramid of supergravities. The base of the pyramid in D = 3 is the known
4x4 magic square, while the higher levels are comprised of a 3x3 square in D =
4, a 2x2 square in D = 6 and Type II supergravity at the apex in D = 10. The
corresponding U-duality groups are given by a new algebraic structure, the
magic pyramid formula, which may be regarded as being defined over three
division algebras, one for spacetime and each of the left/right Yang-Mills
multiplets. We also construct a conformal magic pyramid by tensoring conformal
supermultiplets in D = 3, 4, 6. The missing entry in D = 10 is suggestive of an
exotic theory with G/H duality structure F4(4)/Sp(3) x Sp(1).
|
[
{
"created": "Mon, 23 Dec 2013 11:26:49 GMT",
"version": "v1"
},
{
"created": "Mon, 26 May 2014 15:46:05 GMT",
"version": "v2"
}
] |
2014-05-27
|
[
[
"Anastasiou",
"A.",
""
],
[
"Borsten",
"L.",
""
],
[
"Duff",
"M. J.",
""
],
[
"Hughes",
"L. J.",
""
],
[
"Nagy",
"S.",
""
]
] |
By formulating N = 1, 2, 4, 8, D = 3, Yang-Mills with a single Lagrangian and single set of transformation rules, but with fields valued respectively in R,C,H,O, it was recently shown that tensoring left and right multiplets yields a Freudenthal-Rosenfeld-Tits magic square of D = 3 supergravities. This was subsequently tied in with the more familiar R,C,H,O description of spacetime to give a unified division-algebraic description of extended super Yang-Mills in D = 3, 4, 6, 10. Here, these constructions are brought together resulting in a magic pyramid of supergravities. The base of the pyramid in D = 3 is the known 4x4 magic square, while the higher levels are comprised of a 3x3 square in D = 4, a 2x2 square in D = 6 and Type II supergravity at the apex in D = 10. The corresponding U-duality groups are given by a new algebraic structure, the magic pyramid formula, which may be regarded as being defined over three division algebras, one for spacetime and each of the left/right Yang-Mills multiplets. We also construct a conformal magic pyramid by tensoring conformal supermultiplets in D = 3, 4, 6. The missing entry in D = 10 is suggestive of an exotic theory with G/H duality structure F4(4)/Sp(3) x Sp(1).
| 7.990816 | 8.377512 | 8.812338 | 8.315481 | 9.178693 | 9.339905 | 8.988147 | 8.112735 | 8.30887 | 9.512449 | 8.369085 | 7.82871 | 7.867969 | 7.593846 | 7.836545 | 8.1976 | 7.599901 | 7.823778 | 7.450749 | 7.911921 | 7.601333 |
1904.05892
|
Gr\'egoire Mathys
|
Alexandre Belin, Diego M. Hofman, Gregoire Mathys
|
Einstein gravity from ANEC correlators
|
32 pages + appendices, 6 figures; v2:typos corrected and a comment
added in introduction
| null |
10.1007/JHEP08(2019)032
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study correlation functions with multiple averaged null energy (ANEC)
operators in conformal field theories. For large $N$ CFTs with a large gap to
higher spin operators, we show that the OPE between a local operator and the
ANEC can be recast as a particularly simple differential operator acting on the
local operator. This operator is simple enough that we can resum it and obtain
the finite distance OPE. Under the large $N$ - large gap assumptions, the
vanishing of the commutator of ANEC operators tightly constrains the OPE
coefficients of the theory. An important example of this phenomenon is the
conclusion that $a=c$ in $d=4$. This implies that the bulk dual of such a CFT
is semi-classical Einstein-gravity with minimally coupled matter.
|
[
{
"created": "Thu, 11 Apr 2019 18:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Sep 2019 08:37:39 GMT",
"version": "v2"
}
] |
2019-09-16
|
[
[
"Belin",
"Alexandre",
""
],
[
"Hofman",
"Diego M.",
""
],
[
"Mathys",
"Gregoire",
""
]
] |
We study correlation functions with multiple averaged null energy (ANEC) operators in conformal field theories. For large $N$ CFTs with a large gap to higher spin operators, we show that the OPE between a local operator and the ANEC can be recast as a particularly simple differential operator acting on the local operator. This operator is simple enough that we can resum it and obtain the finite distance OPE. Under the large $N$ - large gap assumptions, the vanishing of the commutator of ANEC operators tightly constrains the OPE coefficients of the theory. An important example of this phenomenon is the conclusion that $a=c$ in $d=4$. This implies that the bulk dual of such a CFT is semi-classical Einstein-gravity with minimally coupled matter.
| 8.508181 | 7.434075 | 9.153856 | 7.987957 | 7.591445 | 7.879424 | 7.908242 | 7.337843 | 7.784616 | 9.643881 | 7.363761 | 7.451993 | 7.963573 | 7.711478 | 7.776545 | 7.463223 | 7.785492 | 7.770537 | 7.775117 | 8.216693 | 7.788498 |
1912.08358
|
Evgeny Buchbinder
|
Evgeny I. Buchbinder, Andre Lukas, Burt A. Ovrut, Fabian Ruehle
|
Instantons and Hilbert Functions
|
21 pages, 7 figures
|
Phys. Rev. D 102, 026019 (2020)
|
10.1103/PhysRevD.102.026019
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study superpotentials from worldsheet instantons in heterotic Calabi-Yau
compactifications for vector bundles constructed from line bundle sums, monads
and extensions. Within a certain class of manifolds and for certain second
homology classes, we derive simple necessary conditions for a non-vanishing
instanton superpotential. These show that non-vanishing instanton
superpotentials are rare and require a specific pattern for the bundle
construction. For the class of monad and extension bundles with this pattern,
we derive a sufficient criterion for non-vanishing instanton superpotentials
based on an affine Hilbert function. This criterion shows that a non-zero
instanton superpotential is common within this class. The criterion can be
checked using commutative algebra methods only and depends on the topological
data defining the Calabi-Yau X and the vector bundle V.
|
[
{
"created": "Wed, 18 Dec 2019 02:59:17 GMT",
"version": "v1"
}
] |
2020-07-29
|
[
[
"Buchbinder",
"Evgeny I.",
""
],
[
"Lukas",
"Andre",
""
],
[
"Ovrut",
"Burt A.",
""
],
[
"Ruehle",
"Fabian",
""
]
] |
We study superpotentials from worldsheet instantons in heterotic Calabi-Yau compactifications for vector bundles constructed from line bundle sums, monads and extensions. Within a certain class of manifolds and for certain second homology classes, we derive simple necessary conditions for a non-vanishing instanton superpotential. These show that non-vanishing instanton superpotentials are rare and require a specific pattern for the bundle construction. For the class of monad and extension bundles with this pattern, we derive a sufficient criterion for non-vanishing instanton superpotentials based on an affine Hilbert function. This criterion shows that a non-zero instanton superpotential is common within this class. The criterion can be checked using commutative algebra methods only and depends on the topological data defining the Calabi-Yau X and the vector bundle V.
| 8.094712 | 8.600183 | 9.590456 | 8.000917 | 8.006648 | 8.049412 | 8.060519 | 8.297252 | 7.885487 | 9.64699 | 7.488124 | 7.402596 | 8.215422 | 7.683079 | 7.594352 | 7.562363 | 7.605494 | 7.819491 | 7.846486 | 8.153429 | 7.886065 |
1207.4851
|
Sangmin Lee
|
Yu-tin Huang, Sangmin Lee
|
A new integral formula for supersymmetric scattering amplitudes in three
dimensions
|
4 pages; v2. references added
| null |
10.1103/PhysRevLett.109.191601
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a new integral formula for all tree-level scattering amplitudes of
N=6 supersymmetric Chern-Simons theory. It resembles the
Roiban-Spradlin-Volovich-Witten formula for N=4 supersymmetric Yang-Mills
theory based on a twistor string theory formulation. Our formula implies that
the (2k)-point tree-level amplitude is closely related to degree (k-1) curves
in CP^{k-1}.
|
[
{
"created": "Fri, 20 Jul 2012 04:50:33 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Aug 2012 15:39:12 GMT",
"version": "v2"
}
] |
2013-05-30
|
[
[
"Huang",
"Yu-tin",
""
],
[
"Lee",
"Sangmin",
""
]
] |
We propose a new integral formula for all tree-level scattering amplitudes of N=6 supersymmetric Chern-Simons theory. It resembles the Roiban-Spradlin-Volovich-Witten formula for N=4 supersymmetric Yang-Mills theory based on a twistor string theory formulation. Our formula implies that the (2k)-point tree-level amplitude is closely related to degree (k-1) curves in CP^{k-1}.
| 7.550711 | 6.554126 | 9.618138 | 6.66444 | 6.200283 | 6.858583 | 6.073685 | 6.130287 | 6.589601 | 8.671404 | 6.85539 | 6.642837 | 8.175225 | 6.52364 | 6.523647 | 6.893865 | 6.344902 | 6.714847 | 6.548815 | 8.06631 | 6.478541 |
1504.05558
|
Jan Plefka
|
Thomas Klose, Tristan McLoughlin, Dhritiman Nandan, Jan Plefka,
Gabriele Travaglini
|
Double-Soft Limits of Gluons and Gravitons
|
31 pages, 6 figures. v2: typos corrected, references added
| null | null |
HU-EP-15/17, HU-MATH-2015-03, TCDMATH 15-03, QMUL-PH-15-08}
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The double-soft limit of gluon and graviton amplitudes is studied in four
dimensions at tree level. In general this limit is ambiguous and we introduce
two natural ways of taking it: A consecutive double-soft limit where one
particle is taken soft before the other and a simultaneous limit where both
particles are taken soft uniformly. All limits yield universal factorisation
formulae which we establish by BCFW recursion relations down to the subleading
order in the soft momentum expansion. These formulae generalise the recently
discussed subleading single-soft theorems. While both types of limits yield
identical results at the leading order, differences appear at the subleading
order. Finally, we discuss double-scalar emission in $\mathcal{N}=4$ super
Yang-Mills theory. These results should be of use in establishing the algebraic
structure of potential hidden symmetries in the quantum gravity and Yang-Mills
S-matrix.
|
[
{
"created": "Tue, 21 Apr 2015 19:30:17 GMT",
"version": "v1"
},
{
"created": "Tue, 19 May 2015 12:52:23 GMT",
"version": "v2"
}
] |
2015-05-20
|
[
[
"Klose",
"Thomas",
""
],
[
"McLoughlin",
"Tristan",
""
],
[
"Nandan",
"Dhritiman",
""
],
[
"Plefka",
"Jan",
""
],
[
"Travaglini",
"Gabriele",
""
]
] |
The double-soft limit of gluon and graviton amplitudes is studied in four dimensions at tree level. In general this limit is ambiguous and we introduce two natural ways of taking it: A consecutive double-soft limit where one particle is taken soft before the other and a simultaneous limit where both particles are taken soft uniformly. All limits yield universal factorisation formulae which we establish by BCFW recursion relations down to the subleading order in the soft momentum expansion. These formulae generalise the recently discussed subleading single-soft theorems. While both types of limits yield identical results at the leading order, differences appear at the subleading order. Finally, we discuss double-scalar emission in $\mathcal{N}=4$ super Yang-Mills theory. These results should be of use in establishing the algebraic structure of potential hidden symmetries in the quantum gravity and Yang-Mills S-matrix.
| 8.563605 | 7.691267 | 9.553166 | 7.488958 | 7.701541 | 7.54811 | 7.519452 | 7.385993 | 7.519063 | 9.47444 | 7.225714 | 7.751023 | 8.134066 | 7.614822 | 7.542374 | 7.611481 | 7.462947 | 7.793248 | 7.734616 | 8.17953 | 7.522344 |
2012.14125
|
Shesansu Sekhar Pal
|
Shesansu Sekhar Pal
|
Holographic universal relations among transport coefficients
|
1+37 pages; typos corrected; six more figures added for positive
psi_0, minor edit
| null | null | null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we show universal relations among the transport coefficients
by calculating the electrical conductivity, thermal conductivity and
thermo-electric conductivity in the presence of a chemical potential and
magnetic fields for Einstein-Maxwell-dilaton-axion system in arbitrary but even
dimensional bulk spacetime as well as for Einstein-DBI-dilaton-axion system in
$3+1$ dimensional bulk spacetime. Moreover, we have also obtained a new
hyperscale violating black hole solution with finite charge density and
magnetic fields but with a trivial dilaton field at IR.
|
[
{
"created": "Mon, 28 Dec 2020 07:32:12 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Dec 2020 11:43:47 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Apr 2021 10:49:23 GMT",
"version": "v3"
}
] |
2021-04-21
|
[
[
"Pal",
"Shesansu Sekhar",
""
]
] |
In this paper, we show universal relations among the transport coefficients by calculating the electrical conductivity, thermal conductivity and thermo-electric conductivity in the presence of a chemical potential and magnetic fields for Einstein-Maxwell-dilaton-axion system in arbitrary but even dimensional bulk spacetime as well as for Einstein-DBI-dilaton-axion system in $3+1$ dimensional bulk spacetime. Moreover, we have also obtained a new hyperscale violating black hole solution with finite charge density and magnetic fields but with a trivial dilaton field at IR.
| 10.510267 | 8.911477 | 10.734937 | 8.759934 | 8.090339 | 9.41291 | 8.242741 | 8.524458 | 7.848421 | 11.434115 | 8.973875 | 9.048768 | 10.0755 | 9.015334 | 8.93128 | 8.57198 | 8.87723 | 8.774816 | 8.541542 | 10.104113 | 9.159277 |
2406.19191
|
James Gray
|
James Gray
|
Vanishing conditions for higher order couplings in heterotic theories
|
16 pages
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
For compactifications of heterotic string theory, we elucidate simple
cohomological conditions that lead to the vanishing of superpotential n-point
couplings for all n. These results generalize some vanishing theorems for
Yukawa couplings that have previously appeared in the literature to all higher
orders. In some cases, these results are enough to show that certain fields do
not appear in the perturbative superpotential at all. We illustrate our
discussion with a number of concrete examples. In some cases, our results can
be confirmed by showing that symmetries indeed forbid the couplings that
vanish. In many, however, no such symmetries are known to exist and, as such,
the infinite sets of vanishing couplings that are found are surprising from a
four-dimensional perspective.
|
[
{
"created": "Thu, 27 Jun 2024 14:10:38 GMT",
"version": "v1"
}
] |
2024-06-28
|
[
[
"Gray",
"James",
""
]
] |
For compactifications of heterotic string theory, we elucidate simple cohomological conditions that lead to the vanishing of superpotential n-point couplings for all n. These results generalize some vanishing theorems for Yukawa couplings that have previously appeared in the literature to all higher orders. In some cases, these results are enough to show that certain fields do not appear in the perturbative superpotential at all. We illustrate our discussion with a number of concrete examples. In some cases, our results can be confirmed by showing that symmetries indeed forbid the couplings that vanish. In many, however, no such symmetries are known to exist and, as such, the infinite sets of vanishing couplings that are found are surprising from a four-dimensional perspective.
| 9.290167 | 8.450637 | 8.980565 | 8.093267 | 8.318357 | 8.122021 | 8.753748 | 8.305431 | 7.659616 | 9.508114 | 8.107678 | 8.091619 | 8.527207 | 7.934922 | 7.808512 | 7.819908 | 7.672379 | 7.874237 | 8.01334 | 8.753957 | 7.861022 |
hep-th/0103208
|
Oleg V. Shaynkman
|
O.V. Shaynkman, M.A. Vasiliev
|
Higher Spin Conformal Symmetry for Matter Fields in 2+1 Dimensions
|
Minor corrections: report number is changed
|
Theor.Math.Phys. 128 (2001) 1155-1168; Teor.Mat.Fiz. 128 (2001)
378-394
| null |
FIAN/TD/07-01
|
hep-th
| null |
A simple realization of the conformal higher spin symmetry on the free $3d$
massless matter fields is given in terms of an auxiliary Fock module both in
the flat and $AdS_3$ case. The duality between non-unitary field-theoretical
representations of the conformal algebra and the unitary (singleton--type)
representations of the $3d$ conformal algebra $sp(4,\R)$ is formulated
explicitly in terms of a certain Bogolyubov transform.
|
[
{
"created": "Sat, 24 Mar 2001 14:56:38 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Jul 2001 18:50:12 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Shaynkman",
"O. V.",
""
],
[
"Vasiliev",
"M. A.",
""
]
] |
A simple realization of the conformal higher spin symmetry on the free $3d$ massless matter fields is given in terms of an auxiliary Fock module both in the flat and $AdS_3$ case. The duality between non-unitary field-theoretical representations of the conformal algebra and the unitary (singleton--type) representations of the $3d$ conformal algebra $sp(4,\R)$ is formulated explicitly in terms of a certain Bogolyubov transform.
| 10.027547 | 8.047956 | 10.722867 | 8.418994 | 8.444255 | 8.20812 | 8.899228 | 8.928273 | 8.290724 | 10.623926 | 8.326947 | 8.047958 | 9.023938 | 8.079602 | 7.775531 | 8.280977 | 7.983054 | 7.931359 | 8.288941 | 9.453074 | 8.264257 |
1102.2289
|
Kazem Bitaghsir Fadafan
|
K. Bitaghsir Fadafan
|
Heavy quarks in the presence of higher derivative corrections from
AdS/CFT
|
22pages, 8 figures, Revised version
| null |
10.1140/epjc/s10052-011-1799-7
| null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by/3.0/
|
We use the gauge-string duality to study heavy quarks in the presence of
higher derivative corrections. These corrections correspond to the finite
coupling corrections on the properties of heavy quarks in a hot plasma. In
particular, we study the effects of these corrections on the energy loss and
the dissociation length of a quark-antiquark pair. We show that the calculated
energy loss of heavy quarks through the plasma increases. We also find in
general that the dissociation length becomes shorter with the increase of
coupling parameters of higher curvature terms.
|
[
{
"created": "Fri, 11 Feb 2011 05:52:39 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jun 2011 12:50:55 GMT",
"version": "v2"
}
] |
2015-05-27
|
[
[
"Fadafan",
"K. Bitaghsir",
""
]
] |
We use the gauge-string duality to study heavy quarks in the presence of higher derivative corrections. These corrections correspond to the finite coupling corrections on the properties of heavy quarks in a hot plasma. In particular, we study the effects of these corrections on the energy loss and the dissociation length of a quark-antiquark pair. We show that the calculated energy loss of heavy quarks through the plasma increases. We also find in general that the dissociation length becomes shorter with the increase of coupling parameters of higher curvature terms.
| 8.885086 | 6.066017 | 8.753732 | 7.623408 | 7.424084 | 7.841777 | 7.513463 | 7.381033 | 7.538946 | 8.841978 | 7.25493 | 7.975892 | 8.891592 | 8.081829 | 8.053921 | 7.953452 | 7.849281 | 8.178037 | 7.94735 | 8.913356 | 7.767186 |
0712.3547
|
Yuri Obukhov
|
Yuri N. Obukhov, Guillermo F. Rubilar
|
Invariant conserved currents in gravity theories: diffeomorphisms and
local gauge symmetries
|
28 pages, Revtex
|
Phys.Rev.D76:124030,2007
|
10.1103/PhysRevD.76.124030
| null |
hep-th
| null |
Previously, we have developed a general method to construct invariant
conserved currents and charges in gravitational theories with Lagrangians that
are invariant under spacetime diffeomorphisms and local Lorentz
transformations. This approach is now generalized to the case when the local
Lorentz group is replaced by an arbitrary local gauge group. The particular
examples include the Maxwell and Yang-Mills fields coupled to gravity with
Abelian and non-Abelian local internal symmetries, and the metric-affine
gravity in which the local Lorentz spacetime group is extended to the local
general linear group.
|
[
{
"created": "Thu, 20 Dec 2007 19:44:06 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Obukhov",
"Yuri N.",
""
],
[
"Rubilar",
"Guillermo F.",
""
]
] |
Previously, we have developed a general method to construct invariant conserved currents and charges in gravitational theories with Lagrangians that are invariant under spacetime diffeomorphisms and local Lorentz transformations. This approach is now generalized to the case when the local Lorentz group is replaced by an arbitrary local gauge group. The particular examples include the Maxwell and Yang-Mills fields coupled to gravity with Abelian and non-Abelian local internal symmetries, and the metric-affine gravity in which the local Lorentz spacetime group is extended to the local general linear group.
| 5.683644 | 5.67457 | 5.061981 | 5.334431 | 5.48443 | 5.321123 | 5.778811 | 5.332906 | 5.549305 | 5.353895 | 5.436129 | 5.351652 | 5.251884 | 5.09523 | 5.084475 | 5.23797 | 5.298985 | 5.175962 | 5.054286 | 4.999183 | 5.18485 |
1111.5049
|
David Ridout
|
Thomas Creutzig and David Ridout
|
W-Algebras Extending Affine gl(1|1)
|
12 pages. This is a proceedings article based on a talk by TC at the
Ninth International Workshop "Lie Theory and its Applications in Physics" in
Varna, Bulgaria (20--26 June, 2011)
| null | null | null |
hep-th math-ph math.MP math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It was recently shown that gl^(1|1) admits an infinite family of simple
current extensions. Here, these findings are reviewed and explicit free field
realisations of the extended algebras are constructed. The leading
contributions to the operator product algebra are then calculated. Among these
extensions, one finds four infinite families that seem to contain, as
subalgebras, copies of the W^(2)_N algebras of Feigin and Semikhatov at various
levels and central charges +/- 1.
|
[
{
"created": "Mon, 21 Nov 2011 22:30:40 GMT",
"version": "v1"
}
] |
2011-11-23
|
[
[
"Creutzig",
"Thomas",
""
],
[
"Ridout",
"David",
""
]
] |
It was recently shown that gl^(1|1) admits an infinite family of simple current extensions. Here, these findings are reviewed and explicit free field realisations of the extended algebras are constructed. The leading contributions to the operator product algebra are then calculated. Among these extensions, one finds four infinite families that seem to contain, as subalgebras, copies of the W^(2)_N algebras of Feigin and Semikhatov at various levels and central charges +/- 1.
| 14.700538 | 13.591572 | 17.248911 | 11.737206 | 14.801777 | 14.435572 | 15.060741 | 13.767643 | 13.12009 | 15.305528 | 13.550707 | 12.63847 | 14.518253 | 12.757028 | 13.078651 | 12.989431 | 13.283197 | 13.462716 | 12.324954 | 14.206375 | 12.621923 |
2209.09938
|
Antonios Kalogirou
|
Nikos Irges (NTU of Athens), Antonis Kalogirou (NTU of Athens) and
Fotis Koutroulis (Warsaw U.)
|
Thermal effects in Ising Cosmology
|
15 pages, 2 figures, version accepted for publication, clarifications
regarding the thermal propagator added, general presentation improved,
references added, typos corrected
|
Universe 9 (2023) 10, 434
|
10.3390/universe9100434
| null |
hep-th gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We consider a real scalar field in de Sitter background and compute its
thermal propagators. We propose that in a dS/CFT context, non-trivial thermal
effects as seen by an 'out' observer can be encoded in the anomalous dimensions
of the $d = 3$ Ising model. One of these anomalous dimensions, the critical
exponent $\eta$, fixes completely a number of cosmological observables, which
we compute
|
[
{
"created": "Tue, 20 Sep 2022 18:28:36 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jan 2023 22:03:57 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Sep 2023 09:26:11 GMT",
"version": "v3"
}
] |
2023-10-10
|
[
[
"Irges",
"Nikos",
"",
"NTU of Athens"
],
[
"Kalogirou",
"Antonis",
"",
"NTU of Athens"
],
[
"Koutroulis",
"Fotis",
"",
"Warsaw U."
]
] |
We consider a real scalar field in de Sitter background and compute its thermal propagators. We propose that in a dS/CFT context, non-trivial thermal effects as seen by an 'out' observer can be encoded in the anomalous dimensions of the $d = 3$ Ising model. One of these anomalous dimensions, the critical exponent $\eta$, fixes completely a number of cosmological observables, which we compute
| 13.537133 | 13.547809 | 13.248906 | 10.624354 | 12.008712 | 12.098873 | 12.436929 | 11.881627 | 11.033382 | 14.287415 | 10.69539 | 12.50158 | 11.937809 | 11.298021 | 11.986027 | 11.865086 | 11.993856 | 11.845699 | 11.655502 | 12.265026 | 11.704022 |
hep-th/0510232
|
Nail Khusnutdinov
|
Artem R. Khabibullin, Nail R. Khusnutdinov and Sergey V. Sushkov
|
Casimir effect in a wormhole spacetime
|
2 figures, 10 pages, added 2 references
|
Class.Quant.Grav. 23 (2006) 627-634
|
10.1088/0264-9381/23/3/006
| null |
hep-th gr-qc
| null |
We consider the Casimir effect for quantized massive scalar field with
non-conformal coupling $\xi$ in a spacetime of wormhole whose throat is rounded
by a spherical shell. In the framework of zeta-regularization approach we
calculate a zero point energy of scalar field. We found that depending on
values of coupling $\xi$, a mass of field $m$, and/or the throat's radius $a$
the Casimir force may be both attractive and repulsive, and even equals to
zero.
|
[
{
"created": "Thu, 27 Oct 2005 12:17:44 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Nov 2005 14:48:15 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Khabibullin",
"Artem R.",
""
],
[
"Khusnutdinov",
"Nail R.",
""
],
[
"Sushkov",
"Sergey V.",
""
]
] |
We consider the Casimir effect for quantized massive scalar field with non-conformal coupling $\xi$ in a spacetime of wormhole whose throat is rounded by a spherical shell. In the framework of zeta-regularization approach we calculate a zero point energy of scalar field. We found that depending on values of coupling $\xi$, a mass of field $m$, and/or the throat's radius $a$ the Casimir force may be both attractive and repulsive, and even equals to zero.
| 8.209403 | 7.779828 | 7.175145 | 6.932188 | 7.66466 | 7.474699 | 7.8617 | 6.829936 | 7.555044 | 8.093034 | 7.462721 | 7.433948 | 7.14944 | 7.064093 | 7.574646 | 7.205447 | 7.591821 | 7.511733 | 7.61691 | 7.302934 | 7.458863 |
1101.5312
|
Davide Cassani
|
Davide Cassani, Gianguido Dall'Agata, Anton F. Faedo
|
Consistent truncations with massive modes and holography
|
6 pages. Contribution to the proceedings of the XVIth European
Workshop on String Theory, Madrid, Spain, June 14-18 2010; based on a talk
given by D. Cassani
|
Fortschr. Phys.59:652, 2011
|
10.1002/prop.201100010
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review the basic features of some recently found consistent Kaluza-Klein
truncations including massive modes. We emphasize the general ideas underlying
the reduction procedure, then we focus on type IIB supergravity on
5-dimensional manifolds admitting a Sasaki-Einstein structure, which leads to
half-maximal gauged supergravity in five dimensions. Finally, we comment on the
holographic picture of consistency.
|
[
{
"created": "Thu, 27 Jan 2011 15:29:39 GMT",
"version": "v1"
}
] |
2015-05-27
|
[
[
"Cassani",
"Davide",
""
],
[
"Dall'Agata",
"Gianguido",
""
],
[
"Faedo",
"Anton F.",
""
]
] |
We review the basic features of some recently found consistent Kaluza-Klein truncations including massive modes. We emphasize the general ideas underlying the reduction procedure, then we focus on type IIB supergravity on 5-dimensional manifolds admitting a Sasaki-Einstein structure, which leads to half-maximal gauged supergravity in five dimensions. Finally, we comment on the holographic picture of consistency.
| 11.188233 | 8.217769 | 11.383965 | 8.812869 | 8.541391 | 8.219716 | 7.955185 | 8.163559 | 8.562881 | 12.125414 | 8.232515 | 9.509109 | 10.49865 | 9.546668 | 9.558573 | 8.889883 | 9.390322 | 9.3662 | 9.342546 | 10.484309 | 9.175203 |
2112.12198
|
Ignacio Salazar
|
Nicol\'as Grandi, Vladimir Juri\v{c}i\'c, Ignacio Salazar Landea,
Rodrigo Soto-Garrido
|
Engineering holographic flat fermionic bands
|
6 pages, 3 figures
|
Phys. Rev. D 105, L081902 (2022)
|
10.1103/PhysRevD.105.L081902
| null |
hep-th cond-mat.str-el
|
http://creativecommons.org/licenses/by/4.0/
|
In electronic systems with flat bands, such as twisted bilayer graphene,
interaction effects govern the structure of the phase diagram. In this paper,
we show that a strongly interacting system featuring fermionic flat bands can
be engineered using the holographic duality. In particular, we find that in the
holographic nematic phase, two bulk Dirac cones separated in momentum space at
low temperature, approach each other as the temperature increases. They
eventually collide at a critical temperature yielding a flattened band with a
quadratic dispersion. On the other hand, in the symmetric (Lifshitz) phase,
this quadratic dispersion relation holds for any finite temperature. We
therefore obtain a first holographic, strong-coupling realization of a
topological phase transition where two Berry monopoles of charge one merge into
a single one with charge two, which may be relevant for two- and
three-dimensional topological semimetals.
|
[
{
"created": "Wed, 22 Dec 2021 20:00:37 GMT",
"version": "v1"
}
] |
2022-04-19
|
[
[
"Grandi",
"Nicolás",
""
],
[
"Juričić",
"Vladimir",
""
],
[
"Landea",
"Ignacio Salazar",
""
],
[
"Soto-Garrido",
"Rodrigo",
""
]
] |
In electronic systems with flat bands, such as twisted bilayer graphene, interaction effects govern the structure of the phase diagram. In this paper, we show that a strongly interacting system featuring fermionic flat bands can be engineered using the holographic duality. In particular, we find that in the holographic nematic phase, two bulk Dirac cones separated in momentum space at low temperature, approach each other as the temperature increases. They eventually collide at a critical temperature yielding a flattened band with a quadratic dispersion. On the other hand, in the symmetric (Lifshitz) phase, this quadratic dispersion relation holds for any finite temperature. We therefore obtain a first holographic, strong-coupling realization of a topological phase transition where two Berry monopoles of charge one merge into a single one with charge two, which may be relevant for two- and three-dimensional topological semimetals.
| 9.97941 | 9.576301 | 9.859784 | 8.767425 | 9.704622 | 9.579384 | 9.248419 | 9.092869 | 8.990771 | 10.82241 | 9.196498 | 9.013355 | 9.405783 | 9.140037 | 8.983866 | 8.970373 | 8.867602 | 9.107311 | 9.082516 | 9.525376 | 9.410885 |
hep-th/0312053
|
Clifford V. Johnson
|
Jessica K. Barrett, Clifford V. Johnson
|
Wrapped D-Branes as BPS Monopoles: The Moduli Space Perspective
|
31 pages, LaTeX
|
Phys.Rev.D69:126005,2004
|
10.1103/PhysRevD.69.126005
|
USC-03-07, NSF-KITP-03-105, DCPT-03/55
|
hep-th
| null |
We study the four dimensional effective action of a system of D6-branes
wrapped on the K3 manifold times a torus, allowing the volume of the internal
manifolds to remain dynamical. An unwrapped brane is at best a Dirac monopole
of the dual R-R sector field to which it couples. After wrapping, a brane is
expected to behave as a BPS monopole, where the Higgs vacuum expectation value
is set by the size of the K3. We determine the moduli space of an arbitrary
number of these wrapped branes by introducing a time dependent perturbation of
the static solution, and expanding the supergravity equations of motion to
determine the dynamics of this perturbation, in the low velocity limit. The
result is the hyper-Kahler generalisation of the Euclidean Taub-NUT metric
presented by Gibbons and Manton. We note that our results also pertain to the
behavior of bound states of Kaluza-Klein monopoles and wrapped NS5-branes in
the T^4 compactified heterotic string.
|
[
{
"created": "Fri, 5 Dec 2003 20:51:26 GMT",
"version": "v1"
}
] |
2011-07-19
|
[
[
"Barrett",
"Jessica K.",
""
],
[
"Johnson",
"Clifford V.",
""
]
] |
We study the four dimensional effective action of a system of D6-branes wrapped on the K3 manifold times a torus, allowing the volume of the internal manifolds to remain dynamical. An unwrapped brane is at best a Dirac monopole of the dual R-R sector field to which it couples. After wrapping, a brane is expected to behave as a BPS monopole, where the Higgs vacuum expectation value is set by the size of the K3. We determine the moduli space of an arbitrary number of these wrapped branes by introducing a time dependent perturbation of the static solution, and expanding the supergravity equations of motion to determine the dynamics of this perturbation, in the low velocity limit. The result is the hyper-Kahler generalisation of the Euclidean Taub-NUT metric presented by Gibbons and Manton. We note that our results also pertain to the behavior of bound states of Kaluza-Klein monopoles and wrapped NS5-branes in the T^4 compactified heterotic string.
| 7.721957 | 7.995222 | 9.430899 | 7.464773 | 8.301469 | 8.183933 | 8.195889 | 8.323585 | 7.528399 | 9.857838 | 7.538893 | 7.557265 | 8.410842 | 7.419276 | 7.514507 | 7.658634 | 7.453921 | 7.659615 | 7.438774 | 7.89898 | 7.291979 |
hep-th/0208212
|
Haba Zbigniew
|
Z. Haba (University of Wroclaw)
|
The \Phi^4 quantum field in a scale invariant random metric
| null |
J.Phys.A35:7425-7436,2002
|
10.1088/0305-4470/35/34/313
| null |
hep-th
| null |
We discuss a D-dimensional Euclidean scalar field interacting with a scale
invariant quantized metric. We assume that the metric depends on d-dimensional
coordinates where d<D. We show that the interacting quantum fields have more
regular short distance behaviour than the free fields. A model of a Gaussian
metric is discussed in detail. In particular, in the \Phi^4 theory in four
dimensions we obtain explicit lower and upper bounds for each term of the
perturbation series. It turns out that there is no coupling constant
renormalization in the \Phi^4 model in four dimensions. We show that in a
particular range of the scale dimension there are models in D=4 without any
divergencies.
|
[
{
"created": "Thu, 29 Aug 2002 11:25:13 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Haba",
"Z.",
"",
"University of Wroclaw"
]
] |
We discuss a D-dimensional Euclidean scalar field interacting with a scale invariant quantized metric. We assume that the metric depends on d-dimensional coordinates where d<D. We show that the interacting quantum fields have more regular short distance behaviour than the free fields. A model of a Gaussian metric is discussed in detail. In particular, in the \Phi^4 theory in four dimensions we obtain explicit lower and upper bounds for each term of the perturbation series. It turns out that there is no coupling constant renormalization in the \Phi^4 model in four dimensions. We show that in a particular range of the scale dimension there are models in D=4 without any divergencies.
| 11.372212 | 10.05237 | 11.395133 | 9.608481 | 10.42966 | 10.036067 | 10.808264 | 10.262945 | 10.516705 | 11.902487 | 10.792526 | 10.636259 | 10.499371 | 10.249542 | 10.346581 | 10.97547 | 10.624711 | 10.493548 | 10.523417 | 10.494552 | 10.670297 |
hep-th/0108219
|
Satoshi Yamaguchi
|
Katsuyuki Sugiyama and Satoshi Yamaguchi (Kyoto Univ.)
|
Cascade of Special Holonomy Manifolds and Heterotic String Theory
|
49 pages, LaTeX, no figure, minor changes, typos corrected,
references added
|
Nucl.Phys. B622 (2002) 3-45
|
10.1016/S0550-3213(01)00600-9
|
KUCP-0193
|
hep-th
| null |
We investigate hetrotic string theory on special holonomy manifolds including
exceptional holonomy G_2 and Spin(7) manifolds. The gauge symmetry is F_4 in a
G_2 manifold compactification, and so(9) in a Spin(7) manifold
compactification. We also study the cascade of the holonomies: so(8) > Spin(7)
> G_2 > su(3) > su(2). The differences of adjoining groups are described by
Ising, tricritical Ising, 3-state Potts and u(1) models. These theories are
essential for spacetime supersymmetries and gauge group enhancements. As
concrete examples, we construct modular invariant partition functions and
analyze their massless spectra for G_2 and Spin(7) orbifolds. We obtain the
relation between topological numbers of the manifolds and multiplicities of
matters in specific representations.
|
[
{
"created": "Wed, 29 Aug 2001 17:49:37 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Aug 2001 03:12:41 GMT",
"version": "v2"
},
{
"created": "Sun, 2 Sep 2001 13:04:34 GMT",
"version": "v3"
},
{
"created": "Sun, 4 Nov 2001 06:49:37 GMT",
"version": "v4"
},
{
"created": "Tue, 18 Dec 2001 14:43:32 GMT",
"version": "v5"
}
] |
2009-11-07
|
[
[
"Sugiyama",
"Katsuyuki",
"",
"Kyoto Univ."
],
[
"Yamaguchi",
"Satoshi",
"",
"Kyoto Univ."
]
] |
We investigate hetrotic string theory on special holonomy manifolds including exceptional holonomy G_2 and Spin(7) manifolds. The gauge symmetry is F_4 in a G_2 manifold compactification, and so(9) in a Spin(7) manifold compactification. We also study the cascade of the holonomies: so(8) > Spin(7) > G_2 > su(3) > su(2). The differences of adjoining groups are described by Ising, tricritical Ising, 3-state Potts and u(1) models. These theories are essential for spacetime supersymmetries and gauge group enhancements. As concrete examples, we construct modular invariant partition functions and analyze their massless spectra for G_2 and Spin(7) orbifolds. We obtain the relation between topological numbers of the manifolds and multiplicities of matters in specific representations.
| 9.265409 | 9.229547 | 10.599579 | 7.611706 | 9.342588 | 9.492452 | 9.248377 | 8.843102 | 8.123965 | 10.05045 | 8.195453 | 8.784283 | 9.254173 | 8.343287 | 8.694896 | 8.953595 | 8.443055 | 8.368702 | 8.755871 | 9.377824 | 8.594395 |
1509.07339
|
Yuko Urakawa
|
Jaume Garriga, Yuko Urakawa, Filippo Vernizzi
|
$\delta N$ formalism from superpotential and holography
|
37 pages
| null |
10.1088/1475-7516/2016/02/036
|
CERN-PH-TH-2015-231
|
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the superpotential formalism to describe the evolution of scalar
fields during inflation, generalizing it to include the case with non-canonical
kinetic terms. We provide a characterization of the attractor behaviour of the
background evolution in terms of first and second slow-roll parameters (which
need not be small). We find that the superpotential is useful in justifying the
separate universe approximation from the gradient expansion, and also in
computing the spectra of primordial perturbations around attractor solutions in
the $\delta N$ formalism. As an application, we consider a class of models
where the background trajectories for the inflaton fields are derived from a
product separable superpotential. In the perspective of the holographic
inflation scenario, such models are dual to a deformed CFT boundary theory,
with $D$ mutually uncorrelated deformation operators. We compute the bulk power
spectra of primordial adiabatic and entropy cosmological perturbations, and
show that the results agree with the ones obtained by using conformal
perturbation theory in the dual picture.
|
[
{
"created": "Thu, 24 Sep 2015 12:26:32 GMT",
"version": "v1"
}
] |
2016-02-24
|
[
[
"Garriga",
"Jaume",
""
],
[
"Urakawa",
"Yuko",
""
],
[
"Vernizzi",
"Filippo",
""
]
] |
We consider the superpotential formalism to describe the evolution of scalar fields during inflation, generalizing it to include the case with non-canonical kinetic terms. We provide a characterization of the attractor behaviour of the background evolution in terms of first and second slow-roll parameters (which need not be small). We find that the superpotential is useful in justifying the separate universe approximation from the gradient expansion, and also in computing the spectra of primordial perturbations around attractor solutions in the $\delta N$ formalism. As an application, we consider a class of models where the background trajectories for the inflaton fields are derived from a product separable superpotential. In the perspective of the holographic inflation scenario, such models are dual to a deformed CFT boundary theory, with $D$ mutually uncorrelated deformation operators. We compute the bulk power spectra of primordial adiabatic and entropy cosmological perturbations, and show that the results agree with the ones obtained by using conformal perturbation theory in the dual picture.
| 8.669146 | 9.663258 | 9.303965 | 8.499437 | 9.022554 | 8.884158 | 8.843215 | 9.237612 | 8.160825 | 9.808425 | 8.634279 | 8.798509 | 8.906373 | 8.566669 | 8.368661 | 8.624136 | 8.493882 | 8.521688 | 8.576402 | 8.522381 | 8.748601 |
1109.4458
|
Nobuyoshi Ohta
|
Nobuyoshi Ohta
|
A Complete Classification of Higher Derivative Gravity in 3D and
Criticality in 4D
|
20 pages, v2: minor corrections, refs. added, v3: logic modified, v4:
typos corrected
| null |
10.1088/0264-9381/29/1/015002
|
KU-TP 052
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the condition that the theory is unitary and stable in
three-dimensional gravity with most general quadratic curvature,
Lorentz-Chern-Simons and cosmological terms. We provide the complete
classification of the unitary theories around flat Minkowski and (anti-)de
Sitter spacetimes. The analysis is performed by examining the quadratic
fluctuations around these classical vacua. We also discuss how to understand
critical condition for four-dimensional theories at the Lagrangian level.
|
[
{
"created": "Wed, 21 Sep 2011 02:01:49 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Sep 2011 00:31:02 GMT",
"version": "v2"
},
{
"created": "Thu, 29 Sep 2011 15:08:48 GMT",
"version": "v3"
},
{
"created": "Sat, 3 Dec 2011 06:16:15 GMT",
"version": "v4"
}
] |
2015-05-30
|
[
[
"Ohta",
"Nobuyoshi",
""
]
] |
We study the condition that the theory is unitary and stable in three-dimensional gravity with most general quadratic curvature, Lorentz-Chern-Simons and cosmological terms. We provide the complete classification of the unitary theories around flat Minkowski and (anti-)de Sitter spacetimes. The analysis is performed by examining the quadratic fluctuations around these classical vacua. We also discuss how to understand critical condition for four-dimensional theories at the Lagrangian level.
| 11.70786 | 10.628282 | 10.52303 | 9.77997 | 9.671889 | 10.522521 | 9.833939 | 9.728604 | 9.626748 | 11.269706 | 9.846997 | 10.064072 | 10.600616 | 10.191792 | 10.073263 | 10.135911 | 10.073353 | 10.023431 | 10.2576 | 10.559635 | 10.38135 |
1112.5622
|
Markus Huber Q.
|
Markus Q. Huber, Mario Mitter
|
CrasyDSE: A framework for solving Dyson-Schwinger equations
|
39 pages, 8 tables, 9 figs.; program version 1.1.0; added summaries
on main functions and more details on syntax and auxiliary functions; source
code available at http://theorie.ikp.physik.tu-darmstadt.de/~mqh/CrasyDSE/
| null |
10.1016/j.cpc.2012.05.019
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Dyson-Schwinger equations are important tools for non-perturbative analyses
of quantum field theories. For example, they are very useful for investigations
in quantum chromodynamics and related theories. However, sometimes progress is
impeded by the complexity of the equations. Thus automatizing parts of the
calculations will certainly be helpful in future investigations. In this
article we present a framework for such an automatization based on a C++ code
that can deal with a large number of Green functions. Since also the creation
of the expressions for the integrals of the Dyson-Schwinger equations needs to
be automatized, we defer this task to a Mathematica notebook. We illustrate the
complete workflow with an example from Yang-Mills theory coupled to a
fundamental scalar field that has been investigated recently. As a second
example we calculate the propagators of pure Yang-Mills theory. Our code can
serve as a basis for many further investigations where the equations are too
complicated to tackle by hand. It also can easily be combined with DoFun, a
program for the derivation of Dyson-Schwinger equations.
|
[
{
"created": "Fri, 23 Dec 2011 17:32:06 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Jul 2012 08:10:20 GMT",
"version": "v2"
}
] |
2015-06-03
|
[
[
"Huber",
"Markus Q.",
""
],
[
"Mitter",
"Mario",
""
]
] |
Dyson-Schwinger equations are important tools for non-perturbative analyses of quantum field theories. For example, they are very useful for investigations in quantum chromodynamics and related theories. However, sometimes progress is impeded by the complexity of the equations. Thus automatizing parts of the calculations will certainly be helpful in future investigations. In this article we present a framework for such an automatization based on a C++ code that can deal with a large number of Green functions. Since also the creation of the expressions for the integrals of the Dyson-Schwinger equations needs to be automatized, we defer this task to a Mathematica notebook. We illustrate the complete workflow with an example from Yang-Mills theory coupled to a fundamental scalar field that has been investigated recently. As a second example we calculate the propagators of pure Yang-Mills theory. Our code can serve as a basis for many further investigations where the equations are too complicated to tackle by hand. It also can easily be combined with DoFun, a program for the derivation of Dyson-Schwinger equations.
| 7.6691 | 7.938012 | 7.279694 | 7.152117 | 8.706727 | 8.238321 | 7.837988 | 8.047368 | 7.703811 | 7.858541 | 7.460008 | 7.135786 | 7.099475 | 7.256269 | 7.340428 | 7.290581 | 7.297937 | 7.276358 | 7.072219 | 7.261952 | 7.246221 |
2201.05309
|
Shobhit Sachan Dr.
|
R P Singh, B K Singh, R K Gupta and Shobhit Sachan
|
Thermodynamic properties of Bardeen black holes in dRGT massive gravity
|
19 pages, 10 figures
|
Can. J. Phys. (2022)
|
10.1139/cjp-2021-0092
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
The Bardeen black hole solution is the first spherically symmetric regular
black hole based on the Sakharov and Gliner proposal which is a modification of
the Schwarzschild black hole. We present the Bardeen black hole solution in the
presence of the de Rham, Gabadaadze, and Tolly (dRGT) massive gravity, which is
regular everywhere in the presence of a nonlinear source. The obtained solution
reduces to the Bardeen black hole in the absence of a massive gravity
parameter, and the Schwarzschild black hole when magnetic charge $g = 0$. We
investigated the thermodynamic quantities, that is, mass (M), temperature
$(T)$, entropy ($S$), and free energy $(F)$, in terms of the horizon radius for
both canonical and grand canonical ensembles. We checked the local and global
stability of the obtained solution by studying the heat capacity and free
energy. The heat capacity changes sign at $r = r_c$. The black hole is
thermodynamically stable with a positive heat capacity $C > 0$ (i.e., globally
preferred with negative free energy $F < 0$). In addition, we studied the phase
structure of the obtained solution in both ensembles.
|
[
{
"created": "Fri, 14 Jan 2022 05:18:59 GMT",
"version": "v1"
}
] |
2022-01-17
|
[
[
"Singh",
"R P",
""
],
[
"Singh",
"B K",
""
],
[
"Gupta",
"R K",
""
],
[
"Sachan",
"Shobhit",
""
]
] |
The Bardeen black hole solution is the first spherically symmetric regular black hole based on the Sakharov and Gliner proposal which is a modification of the Schwarzschild black hole. We present the Bardeen black hole solution in the presence of the de Rham, Gabadaadze, and Tolly (dRGT) massive gravity, which is regular everywhere in the presence of a nonlinear source. The obtained solution reduces to the Bardeen black hole in the absence of a massive gravity parameter, and the Schwarzschild black hole when magnetic charge $g = 0$. We investigated the thermodynamic quantities, that is, mass (M), temperature $(T)$, entropy ($S$), and free energy $(F)$, in terms of the horizon radius for both canonical and grand canonical ensembles. We checked the local and global stability of the obtained solution by studying the heat capacity and free energy. The heat capacity changes sign at $r = r_c$. The black hole is thermodynamically stable with a positive heat capacity $C > 0$ (i.e., globally preferred with negative free energy $F < 0$). In addition, we studied the phase structure of the obtained solution in both ensembles.
| 5.993179 | 7.121958 | 5.38415 | 5.616155 | 5.864864 | 6.101807 | 6.778097 | 5.322024 | 6.115093 | 6.215395 | 6.22357 | 5.979893 | 5.824189 | 5.742156 | 5.622526 | 5.624806 | 5.908217 | 5.787138 | 6.068365 | 5.753437 | 5.837091 |
hep-th/9606105
|
Michael Duetsch
|
Michael Duetsch
|
Slavnov-Taylor Identities from the Causal Point of View
|
29 pages. The paper is written in TEX. The necessary macros are
included. The figures are not done by computer, they can be ordered at the
authors address
|
Int.J.Mod.Phys. A12 (1997) 3205-3248
|
10.1142/S0217751X97001699
|
Preprint ZU-TH-30/95
|
hep-th
| null |
We continue the investigation of quantized Yang-Mills theories coupled to
matter fields in the framework of causal perturbation theory which goes back to
Epstein and Glaser. In this approach gauge invariance is expressed by a simple
commutator relation for the S-matrix and the corresponding gauge
transformations are simple transformations of the free fields only. In spite of
this simplicity, gauge invariance implies the usual Slavnov-Taylor identities.
The main purpose of this paper is to prove the latter statement. Since the
Slavnov-Taylor identities are formulated in terms of Green's functions, we
investigate the agreement of two perturbative definitions of Green's functions,
namely of Epstein and Glaser's definition with the Gell-Mann Low series.
|
[
{
"created": "Tue, 18 Jun 1996 07:52:33 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Duetsch",
"Michael",
""
]
] |
We continue the investigation of quantized Yang-Mills theories coupled to matter fields in the framework of causal perturbation theory which goes back to Epstein and Glaser. In this approach gauge invariance is expressed by a simple commutator relation for the S-matrix and the corresponding gauge transformations are simple transformations of the free fields only. In spite of this simplicity, gauge invariance implies the usual Slavnov-Taylor identities. The main purpose of this paper is to prove the latter statement. Since the Slavnov-Taylor identities are formulated in terms of Green's functions, we investigate the agreement of two perturbative definitions of Green's functions, namely of Epstein and Glaser's definition with the Gell-Mann Low series.
| 7.075473 | 6.650493 | 7.285079 | 6.169104 | 6.593177 | 6.396047 | 6.00139 | 6.203584 | 6.146904 | 7.389826 | 6.23712 | 6.812155 | 6.544526 | 6.291814 | 6.640196 | 6.296212 | 6.387843 | 6.369089 | 6.304214 | 6.778522 | 6.468415 |
hep-th/0703287
|
Giuliano Panico
|
Giuliano Panico, Andrea Wulzer
|
Effective Action and Holography in 5D Gauge Theories
|
37 pages; v2, minor changes, one reference added; v3, minor
corrections, version published in JHEP
|
JHEP 0705:060,2007
|
10.1088/1126-6708/2007/05/060
|
UAB-FT-629; SISSA-18/2007/EP
|
hep-th hep-ph
| null |
We apply the holographic method to 5D gauge theories on the warped interval.
Our treatment includes the scalars associated with the fifth gauge field
component, which appear as 4D Goldstone bosons in the holographic effective
action. Applications are considered to two classes of models in which these
scalars play an important role. In the Composite-Higgs (and/or Gauge-Higgs
Unification) scenario, the scalars are interpreted as the Higgs field and we
use the holographic recipe to compute its one-loop potential. In AdS/QCD
models, the scalars are identified with the mesons and we compute
holographically the Chiral Perturbation Theory Lagrangian up to p^4 order. We
also discuss, using the holographic perspective, the effect of including a
Chern-Simons term in the 5D gauge Lagrangian. We show that it makes a
Wess-Zumino-Witten term to appear in the holographic effective action. This is
immediately applied to AdS/QCD, where a Chern-Simons term is needed in order to
mimic the Adler-Bardeen chiral anomaly.
|
[
{
"created": "Fri, 30 Mar 2007 14:14:32 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Apr 2007 18:16:35 GMT",
"version": "v2"
},
{
"created": "Thu, 17 May 2007 16:52:55 GMT",
"version": "v3"
}
] |
2010-10-27
|
[
[
"Panico",
"Giuliano",
""
],
[
"Wulzer",
"Andrea",
""
]
] |
We apply the holographic method to 5D gauge theories on the warped interval. Our treatment includes the scalars associated with the fifth gauge field component, which appear as 4D Goldstone bosons in the holographic effective action. Applications are considered to two classes of models in which these scalars play an important role. In the Composite-Higgs (and/or Gauge-Higgs Unification) scenario, the scalars are interpreted as the Higgs field and we use the holographic recipe to compute its one-loop potential. In AdS/QCD models, the scalars are identified with the mesons and we compute holographically the Chiral Perturbation Theory Lagrangian up to p^4 order. We also discuss, using the holographic perspective, the effect of including a Chern-Simons term in the 5D gauge Lagrangian. We show that it makes a Wess-Zumino-Witten term to appear in the holographic effective action. This is immediately applied to AdS/QCD, where a Chern-Simons term is needed in order to mimic the Adler-Bardeen chiral anomaly.
| 6.555338 | 7.05874 | 6.341543 | 6.648624 | 6.755564 | 6.928296 | 7.206646 | 6.928761 | 6.482852 | 6.883411 | 6.753401 | 6.647872 | 6.398602 | 6.516647 | 6.378463 | 6.647318 | 6.585571 | 6.551125 | 6.383798 | 6.635565 | 6.433823 |
1209.0227
|
Oluf Tang Engelund
|
O. Tang Engelund and R. Roiban
|
Correlation functions of local composite operators from generalized
unitarity
|
71 pages, Latex
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe the use of generalized unitarity for the construction of
correlation functions of local gauge-invariant operators in general quantum
field theories and illustrate this method with several calculations in N=4
super-Yang-Mills theory involving BPS and non-BPS operators. Form factors of
gauge-invariant operators and their multi-operator generalization play an
important role in our construction. We discuss various symmetries of the
momentum space presentation of correlation functions, which is natural in this
framework and give examples involving non-BPS and any number of BPS operators.
We also discuss the calculation of correlators describing the energy flow in
scattering processes as well as the construction of the effective action of a
background gravitational field.
|
[
{
"created": "Mon, 3 Sep 2012 01:04:59 GMT",
"version": "v1"
}
] |
2012-09-04
|
[
[
"Engelund",
"O. Tang",
""
],
[
"Roiban",
"R.",
""
]
] |
We describe the use of generalized unitarity for the construction of correlation functions of local gauge-invariant operators in general quantum field theories and illustrate this method with several calculations in N=4 super-Yang-Mills theory involving BPS and non-BPS operators. Form factors of gauge-invariant operators and their multi-operator generalization play an important role in our construction. We discuss various symmetries of the momentum space presentation of correlation functions, which is natural in this framework and give examples involving non-BPS and any number of BPS operators. We also discuss the calculation of correlators describing the energy flow in scattering processes as well as the construction of the effective action of a background gravitational field.
| 9.970841 | 9.260191 | 10.34612 | 9.278623 | 9.869356 | 9.55201 | 10.196851 | 9.159194 | 9.507455 | 10.634359 | 9.186199 | 9.49786 | 10.028532 | 9.337976 | 9.470711 | 9.312321 | 8.971273 | 9.016631 | 9.338449 | 9.833327 | 9.06176 |
0709.4611
|
Anjan Kundu
|
Ismagil Habibullin and Anjan Kundu
|
Quantum and classical integrable sine-Gordon model with defect
|
18 pages, 3 figures, latex. Sect. 4 is revised for needed
generalization for the boundary condition of the field
|
Nucl.Phys.B795:549-568,2008
|
10.1016/j.nuclphysb.2007.11.022
| null |
hep-th cond-mat.stat-mech math-ph math.DS math.MP nlin.SI
| null |
Defects which are predominant in a realistic model, usually spoil its
integrability or solvability. We on the other hand show the exact integrability
of a known sine-Gordon field model with a defect (DSG), at the classical as
well as at the quantum level based on the Yang-Baxter equation. We find the
associated classical and quantum R-matrices and the underlying q-algebraic
structures, analyzing the exact lattice regularized model. We derive
algorithmically all higher conserved quantities $C_n, n=1,2,...$ of this
integrable DSG model, focusing explicitly on the contribution of the defect
point to each $C_n$. The bridging condition across the defect, defined through
the B\"acklund transformation is found to induce creation or annihilation of a
soliton by the defect point or its preservation with a phase shift.
|
[
{
"created": "Fri, 28 Sep 2007 14:00:37 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Nov 2007 14:11:46 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Habibullin",
"Ismagil",
""
],
[
"Kundu",
"Anjan",
""
]
] |
Defects which are predominant in a realistic model, usually spoil its integrability or solvability. We on the other hand show the exact integrability of a known sine-Gordon field model with a defect (DSG), at the classical as well as at the quantum level based on the Yang-Baxter equation. We find the associated classical and quantum R-matrices and the underlying q-algebraic structures, analyzing the exact lattice regularized model. We derive algorithmically all higher conserved quantities $C_n, n=1,2,...$ of this integrable DSG model, focusing explicitly on the contribution of the defect point to each $C_n$. The bridging condition across the defect, defined through the B\"acklund transformation is found to induce creation or annihilation of a soliton by the defect point or its preservation with a phase shift.
| 15.692533 | 14.901679 | 16.561974 | 14.073721 | 15.910394 | 15.130596 | 15.194842 | 15.094299 | 14.632403 | 17.080168 | 14.979726 | 15.247271 | 15.033669 | 14.828106 | 14.336618 | 14.616418 | 14.32295 | 14.342995 | 14.680407 | 15.243076 | 14.525856 |
2312.01829
|
Banashree Baishya
|
Banashree Baishya, Sayan Chakrabarti, Debaprasad Maity, Kuntal Nayek
|
Pole-skipping and chaos in D3-D7 brane
|
26 pages, 4 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this article, we analyse the pole-skipping phenomena of finite temperature
Yang-Mills theory with quark flavors which is dual to D3-D7 brane system in the
bulk. We also consider the external electric field in the boundary field theory
which is dual to the world volume electric field on the D7 brane. We will work
in the probe limit where the D7 branes do not back-react to the D3 brane
background. In this scenario, we decode the characteristic parameters of the
chaos namely, Lyapunov exponent $\lambda_{L}$ and butterfly velocity $v_b$ from
the pole-skipping points by performing the near-horizon analysis of the
linearised Einstein equations. Unlike pure Yang-Mills, once charged quarks with
a background electric field are added into the system, the characteristic
parameters of the chaos show non-trivial dependence on the quark mass and
external electric field. We have observed that $\lambda_{L}$ and $v_b$
decreases with increasing electric field. This suggests the existence of a
critical electric field at which chaos parameters vanish. In the presence of a
strong electric field, therefore, the dual system of Yang-Mills gauge fields
along with dissociated quarks shows non-chaotic behaviour. We further perform
the pole-skipping analysis for the gauge invariant sound, shear, and tensor
modes of the perturbation in the bulk and discuss their physical importance in
the holographic context.
|
[
{
"created": "Mon, 4 Dec 2023 12:06:42 GMT",
"version": "v1"
}
] |
2023-12-05
|
[
[
"Baishya",
"Banashree",
""
],
[
"Chakrabarti",
"Sayan",
""
],
[
"Maity",
"Debaprasad",
""
],
[
"Nayek",
"Kuntal",
""
]
] |
In this article, we analyse the pole-skipping phenomena of finite temperature Yang-Mills theory with quark flavors which is dual to D3-D7 brane system in the bulk. We also consider the external electric field in the boundary field theory which is dual to the world volume electric field on the D7 brane. We will work in the probe limit where the D7 branes do not back-react to the D3 brane background. In this scenario, we decode the characteristic parameters of the chaos namely, Lyapunov exponent $\lambda_{L}$ and butterfly velocity $v_b$ from the pole-skipping points by performing the near-horizon analysis of the linearised Einstein equations. Unlike pure Yang-Mills, once charged quarks with a background electric field are added into the system, the characteristic parameters of the chaos show non-trivial dependence on the quark mass and external electric field. We have observed that $\lambda_{L}$ and $v_b$ decreases with increasing electric field. This suggests the existence of a critical electric field at which chaos parameters vanish. In the presence of a strong electric field, therefore, the dual system of Yang-Mills gauge fields along with dissociated quarks shows non-chaotic behaviour. We further perform the pole-skipping analysis for the gauge invariant sound, shear, and tensor modes of the perturbation in the bulk and discuss their physical importance in the holographic context.
| 7.479073 | 6.6267 | 7.858541 | 6.508912 | 6.883349 | 6.333576 | 6.550015 | 6.19587 | 6.638194 | 8.099886 | 6.476579 | 6.458871 | 7.114545 | 6.647264 | 6.519641 | 6.486445 | 6.490941 | 6.620033 | 6.662352 | 7.070462 | 6.667402 |
2004.01693
|
Matthias Volk
|
Sara Bonansea, Khalil Idiab, Charlotte Kristjansen, Matthias Volk
|
Wilson lines in AdS/dCFT
|
8 pages, 2 figures; typos corrected
| null |
10.1016/j.physletb.2020.135520
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the expectation value of Wilson lines in two defect versions of N
= 4 SYM, both with supersymmetry completely broken, where one is described in
terms of an integrable boundary state, the other one not. For both cases,
imposing a certain double scaling limit, we find agreement to two leading
orders between the expectation values calculated from respectively the field
theory and the string theory side of the AdS/dCFT correspondence.
|
[
{
"created": "Fri, 3 Apr 2020 17:47:37 GMT",
"version": "v1"
},
{
"created": "Fri, 29 May 2020 08:35:36 GMT",
"version": "v2"
}
] |
2020-06-01
|
[
[
"Bonansea",
"Sara",
""
],
[
"Idiab",
"Khalil",
""
],
[
"Kristjansen",
"Charlotte",
""
],
[
"Volk",
"Matthias",
""
]
] |
We consider the expectation value of Wilson lines in two defect versions of N = 4 SYM, both with supersymmetry completely broken, where one is described in terms of an integrable boundary state, the other one not. For both cases, imposing a certain double scaling limit, we find agreement to two leading orders between the expectation values calculated from respectively the field theory and the string theory side of the AdS/dCFT correspondence.
| 12.786689 | 9.980742 | 14.692829 | 9.701191 | 11.045139 | 11.420006 | 11.134862 | 9.883704 | 10.108269 | 13.760791 | 10.196691 | 11.426582 | 11.7244 | 11.322803 | 11.527933 | 11.263611 | 11.036331 | 10.988295 | 10.979336 | 12.171641 | 11.263203 |
1406.2727
|
Mauricio Valenzuela
|
Julio Oliva and Mauricio Valenzuela
|
Topological self-dual vacua of deformed gauge theories
|
18 pages
| null |
10.1007/JHEP09(2014)152
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a deformation principle of gauge theories in three dimensions that
can describe topologically stable self-dual gauge fields, i.e., vacua
configurations that in spite of their masses do not deform the background
geometry and are locally undetected by charged particles. We interpret these
systems as describing boundary degrees of freedom of a self-dual Yang-Mills
field in $2+2$ dimensions with mixed boundary conditions. Some of these fields
correspond to Abrikosov-like vortices with an exponential damping in the
direction penetrating into the bulk. We also propose generalizations of these
ideas to higher dimensions and arbitrary p-form gauge connections.
|
[
{
"created": "Tue, 10 Jun 2014 21:33:04 GMT",
"version": "v1"
}
] |
2015-06-19
|
[
[
"Oliva",
"Julio",
""
],
[
"Valenzuela",
"Mauricio",
""
]
] |
We propose a deformation principle of gauge theories in three dimensions that can describe topologically stable self-dual gauge fields, i.e., vacua configurations that in spite of their masses do not deform the background geometry and are locally undetected by charged particles. We interpret these systems as describing boundary degrees of freedom of a self-dual Yang-Mills field in $2+2$ dimensions with mixed boundary conditions. Some of these fields correspond to Abrikosov-like vortices with an exponential damping in the direction penetrating into the bulk. We also propose generalizations of these ideas to higher dimensions and arbitrary p-form gauge connections.
| 17.850595 | 19.154566 | 20.994505 | 18.365416 | 18.706781 | 19.81691 | 19.336853 | 18.528151 | 18.258438 | 19.754974 | 17.155609 | 17.898321 | 18.460304 | 17.694338 | 18.040825 | 18.631466 | 17.901718 | 17.399683 | 17.691183 | 18.254459 | 17.689362 |
1506.01009
|
Alexei Nurmagambetov
|
T.M. Moskalets, A.J. Nurmagambetov
|
Non-uniform horizons in Gauge/Gravity Duality
|
6 pages, REVTex. Based on TMM's talk at 43rd ITEP Winter School
| null |
10.1134/S1063778816100094
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this communication, based on our paper http://arxiv.org/abs/1409.4186, we
discuss a way of enhancing Gauge/Gravity Duality and response of a dual
strongly coupled medium on placing the inhomogeneity on the gravity side.
|
[
{
"created": "Tue, 2 Jun 2015 19:49:12 GMT",
"version": "v1"
}
] |
2017-04-05
|
[
[
"Moskalets",
"T. M.",
""
],
[
"Nurmagambetov",
"A. J.",
""
]
] |
In this communication, based on our paper http://arxiv.org/abs/1409.4186, we discuss a way of enhancing Gauge/Gravity Duality and response of a dual strongly coupled medium on placing the inhomogeneity on the gravity side.
| 20.276718 | 17.780123 | 17.164917 | 15.792413 | 18.242865 | 16.552704 | 15.45522 | 16.209017 | 14.927917 | 19.787594 | 16.12133 | 15.520963 | 15.103742 | 14.965622 | 15.614373 | 15.728195 | 15.799764 | 14.676987 | 15.099114 | 15.831714 | 15.440392 |
2011.07049
|
John Roughley
|
Daniel Elander, Maurizio Piai, John Roughley
|
A light dilaton in a metastable vacuum
|
7 pages, 3 figures. One equation and one plot corrected, results
unaffected
|
Phys. Rev. D 103, 046009 (2021)
|
10.1103/PhysRevD.103.046009
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We identify a parametrically light dilaton by studying the perturbations of
metastable vacua along a branch of regular supergravity backgrounds that are
dual to four-dimensional confining field theories. The branch includes also
stable and unstable solutions. The former encompass, as a special case, the
geometry proposed by Witten as a holographic model of confinement. The latter
approach a supersymmetric solution, by enhancing a condensate in the dual field
theory. A phase transition separates the space of stable backgrounds from the
metastable ones. In proximity of the phase transition, one of the lightest
scalar states inherits some of the properties of the dilaton, despite not being
particularly light.
|
[
{
"created": "Fri, 13 Nov 2020 18:38:22 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Nov 2020 13:25:17 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Jan 2021 14:26:58 GMT",
"version": "v3"
},
{
"created": "Wed, 17 Mar 2021 18:20:42 GMT",
"version": "v4"
}
] |
2021-03-19
|
[
[
"Elander",
"Daniel",
""
],
[
"Piai",
"Maurizio",
""
],
[
"Roughley",
"John",
""
]
] |
We identify a parametrically light dilaton by studying the perturbations of metastable vacua along a branch of regular supergravity backgrounds that are dual to four-dimensional confining field theories. The branch includes also stable and unstable solutions. The former encompass, as a special case, the geometry proposed by Witten as a holographic model of confinement. The latter approach a supersymmetric solution, by enhancing a condensate in the dual field theory. A phase transition separates the space of stable backgrounds from the metastable ones. In proximity of the phase transition, one of the lightest scalar states inherits some of the properties of the dilaton, despite not being particularly light.
| 12.107923 | 13.028002 | 11.838209 | 11.056126 | 12.688465 | 13.116978 | 12.182599 | 12.287358 | 11.685328 | 14.362948 | 11.096672 | 11.514404 | 11.492641 | 11.534833 | 11.252145 | 11.436411 | 11.69331 | 11.071594 | 11.310782 | 12.102201 | 11.354608 |
hep-th/0504034
|
Mukund Rangamani
|
Veronika E. Hubeny, Mukund Rangamani, Simon F. Ross
|
Causal structures and holography
|
Latex, 2 figures, 32 pages. v2: references added. v3:refs
|
JHEP 0507:037,2005
|
10.1088/1126-6708/2005/07/037
| null |
hep-th gr-qc
| null |
We explore the description of bulk causal structure in a dual field theory.
We observe that in the spacetime dual to a spacelike non-commutative field
theory, the causal structure in the boundary directions is modified
asymptotically. We propose that this modification is described in the dual
theory by a modification of the micro-causal light cone. Previous studies of
this micro-causal light cone for spacelike non-commutativite field theories
agree with the expectations from the bulk spacetime. We describe the spacetime
dual to field theories with lightlike non-commutativity, and show that they
generically have a drastic modification of the light cone in the bulk: the
spacetime is non-distinguishing. This means that the spacetime while being
devoid of closed timelike or null curves, has causal curves that are ``almost
closed''. We go on to show that the micro-causal light cone in the field theory
agrees with this prediction from the bulk.
|
[
{
"created": "Tue, 5 Apr 2005 05:36:17 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Jul 2005 01:01:35 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Sep 2005 00:08:59 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Hubeny",
"Veronika E.",
""
],
[
"Rangamani",
"Mukund",
""
],
[
"Ross",
"Simon F.",
""
]
] |
We explore the description of bulk causal structure in a dual field theory. We observe that in the spacetime dual to a spacelike non-commutative field theory, the causal structure in the boundary directions is modified asymptotically. We propose that this modification is described in the dual theory by a modification of the micro-causal light cone. Previous studies of this micro-causal light cone for spacelike non-commutativite field theories agree with the expectations from the bulk spacetime. We describe the spacetime dual to field theories with lightlike non-commutativity, and show that they generically have a drastic modification of the light cone in the bulk: the spacetime is non-distinguishing. This means that the spacetime while being devoid of closed timelike or null curves, has causal curves that are ``almost closed''. We go on to show that the micro-causal light cone in the field theory agrees with this prediction from the bulk.
| 8.30659 | 8.709089 | 8.831813 | 8.025244 | 8.991987 | 8.41137 | 8.548332 | 8.084444 | 7.940732 | 10.074479 | 8.225868 | 7.895577 | 8.400315 | 7.944849 | 7.742666 | 8.112475 | 7.815252 | 7.799269 | 7.93689 | 8.346503 | 7.844276 |
hep-th/0209254
|
Giovanni Amelino-Camelia
|
Giovanni Amelino-Camelia, Gianluca Mandanici, Kensuke Yoshida
|
On the IR/UV mixing and experimental limits on the parameters of
canonical noncommutative spacetimes
|
14 pages
|
JHEP 0401 (2004) 037
|
10.1088/1126-6708/2004/01/037
| null |
hep-th
| null |
We investigate some issues that are relevant for the derivation of
experimental limits on the parameters of canonical noncommutative spacetimes.
By analyzing a simple Wess-Zumino-type model in canonical noncommutative
spacetime with soft supersymmetry breaking we explore the implications of
ultraviolet supersymmetry on low-energy phenomenology. The fact that new
physics in the ultraviolet can modify low-energy predictions affects
significantly the derivation of limits on the noncommutativity parameters based
on low-energy data. These are, in an appropriate sense here discussed,
``conditional limits''. We also find that some standard techniques for an
effective low-energy description of theories with non-locality at short
distance scales are only applicable in a regime where theories in canonical
noncommutative spacetime lack any predictivity, because of the strong
sensitivity to unknown UV physics. It appears useful to combine high-energy
data, from astrophysics, with the more readily available low-energy data.
|
[
{
"created": "Sat, 28 Sep 2002 18:03:18 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Amelino-Camelia",
"Giovanni",
""
],
[
"Mandanici",
"Gianluca",
""
],
[
"Yoshida",
"Kensuke",
""
]
] |
We investigate some issues that are relevant for the derivation of experimental limits on the parameters of canonical noncommutative spacetimes. By analyzing a simple Wess-Zumino-type model in canonical noncommutative spacetime with soft supersymmetry breaking we explore the implications of ultraviolet supersymmetry on low-energy phenomenology. The fact that new physics in the ultraviolet can modify low-energy predictions affects significantly the derivation of limits on the noncommutativity parameters based on low-energy data. These are, in an appropriate sense here discussed, ``conditional limits''. We also find that some standard techniques for an effective low-energy description of theories with non-locality at short distance scales are only applicable in a regime where theories in canonical noncommutative spacetime lack any predictivity, because of the strong sensitivity to unknown UV physics. It appears useful to combine high-energy data, from astrophysics, with the more readily available low-energy data.
| 11.666003 | 12.549513 | 12.568273 | 11.231989 | 12.011616 | 12.934948 | 12.401144 | 11.760402 | 12.01556 | 12.773663 | 12.008011 | 11.70901 | 11.642657 | 11.821106 | 11.568809 | 11.614858 | 11.855229 | 11.595218 | 11.700967 | 11.46348 | 11.887849 |
0805.2330
|
Maurizio Gasperini
|
M. Gasperini
|
Why supersymmetry should be restored at the TeV scale
|
6 pages. Essay written for the 2008 Awards for Essays on Gravitation
(Gravity Research Foundation, USA), and awarded with "Honorable Mention"
|
Int.J.Mod.Phys.D17:2521-2525,2009
|
10.1142/S0218271808014023
|
BA-TH/590-08, March 2008
|
hep-th astro-ph gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is explained why the curvature associated to the vacuum energy density
arising from SUSY breaking cannot be completely transferred to the extra
spatial dimensions of a bulk space-time manifold, and it is shown -- without
using hierarchy arguments but only the results of current large-scale
observations -- why the Tev scale should correspond to the maximal allowed
SUSY-breaking scale.
|
[
{
"created": "Thu, 15 May 2008 14:54:00 GMT",
"version": "v1"
}
] |
2009-03-20
|
[
[
"Gasperini",
"M.",
""
]
] |
It is explained why the curvature associated to the vacuum energy density arising from SUSY breaking cannot be completely transferred to the extra spatial dimensions of a bulk space-time manifold, and it is shown -- without using hierarchy arguments but only the results of current large-scale observations -- why the Tev scale should correspond to the maximal allowed SUSY-breaking scale.
| 27.112909 | 25.89262 | 22.987389 | 24.827282 | 25.04155 | 24.400124 | 25.085423 | 26.006742 | 22.421331 | 25.606695 | 21.924282 | 23.157291 | 22.995308 | 21.401686 | 22.68376 | 23.467339 | 22.408413 | 22.017527 | 21.717773 | 23.066322 | 23.682751 |
1609.09083
|
Franz Ciceri
|
Daniel Butter, Franz Ciceri, Bernard de Wit and Bindusar Sahoo
|
Construction of all N=4 conformal supergravities
|
5 pages, comments and references added, title changed, published
version
|
Phys.Rev.Lett. 118, 081602 (2017)
|
10.1103/PhysRevLett.118.081602
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
All N=4 conformal supergravities in four space-time dimensions are
constructed. These are the only N=4 supergravity theories whose actions are
invariant under off-shell supersymmetry. They are encoded in terms of a
holomorphic function that is homogeneous of zeroth degree in scalar fields that
parametrize an SU(1,1)/U(1) coset space. When this function equals a constant
the Lagrangian is invariant under continuous SU(1,1) transformations. The
construction of these higher-derivative invariants also opens the door to
various applications for non-conformal theories.
|
[
{
"created": "Wed, 28 Sep 2016 20:00:04 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Oct 2017 09:42:40 GMT",
"version": "v2"
}
] |
2017-10-31
|
[
[
"Butter",
"Daniel",
""
],
[
"Ciceri",
"Franz",
""
],
[
"de Wit",
"Bernard",
""
],
[
"Sahoo",
"Bindusar",
""
]
] |
All N=4 conformal supergravities in four space-time dimensions are constructed. These are the only N=4 supergravity theories whose actions are invariant under off-shell supersymmetry. They are encoded in terms of a holomorphic function that is homogeneous of zeroth degree in scalar fields that parametrize an SU(1,1)/U(1) coset space. When this function equals a constant the Lagrangian is invariant under continuous SU(1,1) transformations. The construction of these higher-derivative invariants also opens the door to various applications for non-conformal theories.
| 7.781267 | 6.522323 | 7.717491 | 6.572763 | 7.092033 | 8.050336 | 6.843082 | 6.284415 | 6.294048 | 8.628816 | 6.919711 | 6.78339 | 7.370247 | 6.82198 | 6.972015 | 6.795371 | 6.942063 | 7.044163 | 6.770673 | 7.630558 | 6.772261 |
2006.08478
|
Mohammad Reza Tanhayi
|
Zahra Borvayeh, Mohammad Reza Tanhayi and Sh. Rafibakhsh
|
Holographic Complexity of Subregions in the Hyperscaling Violating
Theories
|
18 pages,4 fig.s, To appear in MPLA
|
MPLA Vol. 35, No. 23, 2050191 (2020)
|
10.1142/S0217732320501916
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we use the complexity equals action proposal and investigate
holographic complexity for hyperscaling violating theories on different
subregions of space-time enclosed by the null boundaries. We are interested in
computing the onshell action for certain subregions of the intersection between
the Wheeler DeWitt patch and the past, as well as, the future interior of a
two-sided black brane. More precisely, we extend the results of Ref.
\cite{Alishahiha:2018lfv} in parts, to hyperscaling violating geometries and to
find the finite onshell action, we define the proper counter terms. We show
that in computing the rate of complexification the dynamical exponent plays a
crucial rule, but, at the late time, rate of the complexity growth is
independent of the hyperscaling parameters.
|
[
{
"created": "Mon, 15 Jun 2020 15:28:42 GMT",
"version": "v1"
}
] |
2024-08-13
|
[
[
"Borvayeh",
"Zahra",
""
],
[
"Tanhayi",
"Mohammad Reza",
""
],
[
"Rafibakhsh",
"Sh.",
""
]
] |
In this paper, we use the complexity equals action proposal and investigate holographic complexity for hyperscaling violating theories on different subregions of space-time enclosed by the null boundaries. We are interested in computing the onshell action for certain subregions of the intersection between the Wheeler DeWitt patch and the past, as well as, the future interior of a two-sided black brane. More precisely, we extend the results of Ref. \cite{Alishahiha:2018lfv} in parts, to hyperscaling violating geometries and to find the finite onshell action, we define the proper counter terms. We show that in computing the rate of complexification the dynamical exponent plays a crucial rule, but, at the late time, rate of the complexity growth is independent of the hyperscaling parameters.
| 14.561659 | 11.438568 | 15.438761 | 12.101191 | 13.372417 | 11.96254 | 11.787271 | 11.523923 | 12.405798 | 13.662896 | 13.104158 | 12.079444 | 13.341351 | 11.796595 | 12.111994 | 11.95303 | 12.151189 | 11.773361 | 11.960272 | 12.668117 | 12.663067 |
1010.4967
|
Igor Samsonov
|
I.L. Buchbinder, N.G. Pletnev, I.B. Samsonov
|
Low-energy effective actions in three-dimensional extended SYM theories
|
1+39 pages; v2: misprints corrected, references added
|
JHEP 1101:121,2011
|
10.1007/JHEP01(2011)121
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop the background field method in the N=2, d=3 superspace for
studying effective actions in three-dimensional SYM models which live in the
world-volume of various 2-branes. In particular, the low-energy effective
action for the N=2 quiver gauge theory with four chiral superfields in the
bifundamental representation is studied. This gauge theory describes the D2
brane probing the conifold singularity. Surprisingly, the leading terms in this
effective action reproduce the classical action of the Abelian ABJM theory
confirming the fact that the M2 brane can be considered as the effective theory
for the D2 brane at strong coupling. Apart from this N=2 quiver gauge theory we
study the low-energy effective action in pure N=2, N=4 and N=8 SYM theories
with gauge group SU(N) spontaneously broken down to an Abelian subgroup. In
particular, for the N=4 SYM we find similar correspondence between the leading
terms in its effective action and the classical action of the Abelian
Gaiotto-Witten theory.
|
[
{
"created": "Sun, 24 Oct 2010 14:44:05 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Nov 2010 19:02:28 GMT",
"version": "v2"
}
] |
2011-02-03
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Pletnev",
"N. G.",
""
],
[
"Samsonov",
"I. B.",
""
]
] |
We develop the background field method in the N=2, d=3 superspace for studying effective actions in three-dimensional SYM models which live in the world-volume of various 2-branes. In particular, the low-energy effective action for the N=2 quiver gauge theory with four chiral superfields in the bifundamental representation is studied. This gauge theory describes the D2 brane probing the conifold singularity. Surprisingly, the leading terms in this effective action reproduce the classical action of the Abelian ABJM theory confirming the fact that the M2 brane can be considered as the effective theory for the D2 brane at strong coupling. Apart from this N=2 quiver gauge theory we study the low-energy effective action in pure N=2, N=4 and N=8 SYM theories with gauge group SU(N) spontaneously broken down to an Abelian subgroup. In particular, for the N=4 SYM we find similar correspondence between the leading terms in its effective action and the classical action of the Abelian Gaiotto-Witten theory.
| 6.335071 | 6.276896 | 7.097036 | 5.898484 | 5.9857 | 6.273793 | 5.939227 | 5.863149 | 5.75079 | 7.214049 | 5.759478 | 5.980995 | 6.595586 | 6.036701 | 6.228508 | 5.907253 | 6.140537 | 6.047514 | 6.13232 | 6.419663 | 5.911531 |
1709.01461
|
Frederik Lauf
|
Frederik Lauf and Ivo Sachs
|
Complete superspace classification of three-dimensional
Chern-Simons-matter theories coupled to supergravity
|
JHEP refereed version
| null |
10.1007/JHEP02(2018)154
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For extended $\mathcal{N}\leq 8$ supersymmetry we classify all possible gauge
groups for a scalar multiplet allowed by the algebras of global and local
supersymmetry in three dimensions. A detailed discussion of supersymmetry
enhancement is included. For the corresponding topologically massive gravity
with negative cosmological constant the mass of the graviton is determined
algebraically as a function of $\mathcal{N}$ and the possible gauge couplings.
|
[
{
"created": "Tue, 5 Sep 2017 15:40:42 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Aug 2018 09:23:28 GMT",
"version": "v2"
}
] |
2018-08-10
|
[
[
"Lauf",
"Frederik",
""
],
[
"Sachs",
"Ivo",
""
]
] |
For extended $\mathcal{N}\leq 8$ supersymmetry we classify all possible gauge groups for a scalar multiplet allowed by the algebras of global and local supersymmetry in three dimensions. A detailed discussion of supersymmetry enhancement is included. For the corresponding topologically massive gravity with negative cosmological constant the mass of the graviton is determined algebraically as a function of $\mathcal{N}$ and the possible gauge couplings.
| 9.395569 | 9.685845 | 9.541218 | 8.945332 | 8.598248 | 10.745901 | 9.163507 | 9.231061 | 9.166307 | 10.499716 | 8.615836 | 8.445915 | 9.355796 | 8.57514 | 8.446961 | 8.222045 | 8.566687 | 8.944262 | 8.713642 | 8.995131 | 8.452716 |
hep-th/9707160
|
Keith Dienes
|
Julie D. Blum and Keith R. Dienes (Institute for Advanced Study,
Princeton)
|
Strong/Weak Coupling Duality Relations for Non-Supersymmetric String
Theories
|
7 ounces by weight, LaTeX, 15 figures
|
Nucl.Phys.B516:83-159,1998
|
10.1016/S0550-3213(97)00803-1
|
IASSNS-HEP-97/80 (July 1997)
|
hep-th hep-ph
| null |
Both the supersymmetric $SO(32)$ and $E_8\times E_8$ heterotic strings in ten
dimensions have known strong-coupling duals. However, it has not been known
whether there also exist strong-coupling duals for the non-supersymmetric
heterotic strings in ten dimensions. In this paper, we construct explicit
open-string duals for the circle-compactifications of several of these
non-supersymmetric theories, among them the tachyon-free $SO(16)\times SO(16)$
string. Our method involves the construction of heterotic and open-string
interpolating models that continuously connect non-supersymmetric strings to
supersymmetric strings. We find that our non-supersymmetric dual theories have
exactly the same massless spectra as their heterotic counterparts within a
certain range of our interpolations. We also develop a novel method for
analyzing the solitons of non-supersymmetric open-string theories, and find
that the solitons of our dual theories also agree with their heterotic
counterparts. These are therefore the first known examples of strong/weak
coupling duality relations between non-supersymmetric, tachyon-free string
theories. Finally, the existence of these strong-coupling duals allows us to
examine the non-perturbative stability of these strings, and we propose a phase
diagram for the behavior of these strings as a function of coupling and radius.
|
[
{
"created": "Fri, 18 Jul 1997 03:21:31 GMT",
"version": "v1"
}
] |
2009-08-18
|
[
[
"Blum",
"Julie D.",
"",
"Institute for Advanced Study,\n Princeton"
],
[
"Dienes",
"Keith R.",
"",
"Institute for Advanced Study,\n Princeton"
]
] |
Both the supersymmetric $SO(32)$ and $E_8\times E_8$ heterotic strings in ten dimensions have known strong-coupling duals. However, it has not been known whether there also exist strong-coupling duals for the non-supersymmetric heterotic strings in ten dimensions. In this paper, we construct explicit open-string duals for the circle-compactifications of several of these non-supersymmetric theories, among them the tachyon-free $SO(16)\times SO(16)$ string. Our method involves the construction of heterotic and open-string interpolating models that continuously connect non-supersymmetric strings to supersymmetric strings. We find that our non-supersymmetric dual theories have exactly the same massless spectra as their heterotic counterparts within a certain range of our interpolations. We also develop a novel method for analyzing the solitons of non-supersymmetric open-string theories, and find that the solitons of our dual theories also agree with their heterotic counterparts. These are therefore the first known examples of strong/weak coupling duality relations between non-supersymmetric, tachyon-free string theories. Finally, the existence of these strong-coupling duals allows us to examine the non-perturbative stability of these strings, and we propose a phase diagram for the behavior of these strings as a function of coupling and radius.
| 4.255412 | 4.341977 | 4.955834 | 4.329563 | 4.45586 | 4.397058 | 4.460234 | 4.347898 | 4.34146 | 5.000542 | 4.289762 | 4.449741 | 4.698293 | 4.367936 | 4.306744 | 4.326069 | 4.322301 | 4.399532 | 4.424425 | 4.707637 | 4.374356 |
2306.10226
|
Scarlett Rebolledo-Caceres Scarlett C. Rebolledo-Caceres
|
Fabrizio Canfora and Scarlett C. Rebolledo-Caceres
|
Skyrmions at Finite Density
|
Accepted for publication in MPLA; 33 pages, 2 figures. V2: references
added
| null | null | null |
hep-th hep-ph nucl-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we will describe recent advances in analytical methods to
construct exact solutions of the Skyrme model (and its generalizations)
representing inhomogeneous Hadronic condensates living at finite Baryon
density. Such novel analytical tools are based on the idea to generalize the
well known spherical hedgehog ansatz to situations (relevant for the analysis
of finite density effects) in which there is no spherical symmetry anymore.
Besides the intrinsic mathematical interest to find exact solutions with
non-vanishing Baryonic charge confined to a finite volume, this framework opens
the possibility to compute important physical quantities which would be
difficult to compute otherwise.
|
[
{
"created": "Sat, 17 Jun 2023 01:29:36 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Jul 2023 22:12:05 GMT",
"version": "v2"
}
] |
2023-07-14
|
[
[
"Canfora",
"Fabrizio",
""
],
[
"Rebolledo-Caceres",
"Scarlett C.",
""
]
] |
In this paper, we will describe recent advances in analytical methods to construct exact solutions of the Skyrme model (and its generalizations) representing inhomogeneous Hadronic condensates living at finite Baryon density. Such novel analytical tools are based on the idea to generalize the well known spherical hedgehog ansatz to situations (relevant for the analysis of finite density effects) in which there is no spherical symmetry anymore. Besides the intrinsic mathematical interest to find exact solutions with non-vanishing Baryonic charge confined to a finite volume, this framework opens the possibility to compute important physical quantities which would be difficult to compute otherwise.
| 12.387027 | 11.38644 | 12.192673 | 10.798608 | 11.305411 | 11.546689 | 12.46209 | 10.982964 | 11.386248 | 12.320979 | 10.971935 | 12.178855 | 11.925583 | 11.430844 | 12.072324 | 11.727944 | 11.506187 | 11.754664 | 12.002659 | 11.500373 | 11.740467 |
hep-th/0003111
|
J. A. de Azcarraga
|
J. A. de Azc\'arraga and A. J. Macfarlane
|
Fermionic realisations of simple Lie algebras
|
Plain latex file, 17 p
|
Nucl.Phys. B581 (2000) 743-760
|
10.1016/S0550-3213(00)00236-4
|
FTUV-00-0308, IFIC-05-00, DAMTP-2000-17
|
hep-th math-ph math.MP math.QA math.RT
| null |
We study the representation ${\cal D}$ of a simple compact Lie algebra $\g$
of rank l constructed with the aid of the hermitian Dirac matrices of a (${\rm
dim} \g$)-dimensional euclidean space. The irreducible representations of $\g$
contained in ${\cal D}$ are found by providing a general construction on
suitable fermionic Fock spaces. We give full details not only for the simplest
odd and even cases, namely su(2) and su(3), but also for the next (${dim}
\g$)-even case of su(5). Our results are far reaching: they apply to any
$\g$-invariant quantum mechanical system containing ${\rm dim} \g$ fermions.
Another reason for undertaking this study is to examine the role of the
$\g$-invariant fermionic operators that naturally arise. These are given in
terms of products of an odd number of gamma matrices, and include, besides a
cubic operator, (l-1) fermionic scalars of higher order. The latter are
constructed from the Lie algebra cohomology cocycles, and must be considered to
be of theoretical significance similar to the cubic operator. In the (${\rm
dim} \g$)-even case, the product of all l operators turns out to be the
chirality operator $\gamma_q, q=({{\rm dim} \g+1})$.
|
[
{
"created": "Tue, 14 Mar 2000 15:10:32 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"de Azcárraga",
"J. A.",
""
],
[
"Macfarlane",
"A. J.",
""
]
] |
We study the representation ${\cal D}$ of a simple compact Lie algebra $\g$ of rank l constructed with the aid of the hermitian Dirac matrices of a (${\rm dim} \g$)-dimensional euclidean space. The irreducible representations of $\g$ contained in ${\cal D}$ are found by providing a general construction on suitable fermionic Fock spaces. We give full details not only for the simplest odd and even cases, namely su(2) and su(3), but also for the next (${dim} \g$)-even case of su(5). Our results are far reaching: they apply to any $\g$-invariant quantum mechanical system containing ${\rm dim} \g$ fermions. Another reason for undertaking this study is to examine the role of the $\g$-invariant fermionic operators that naturally arise. These are given in terms of products of an odd number of gamma matrices, and include, besides a cubic operator, (l-1) fermionic scalars of higher order. The latter are constructed from the Lie algebra cohomology cocycles, and must be considered to be of theoretical significance similar to the cubic operator. In the (${\rm dim} \g$)-even case, the product of all l operators turns out to be the chirality operator $\gamma_q, q=({{\rm dim} \g+1})$.
| 9.154644 | 10.104492 | 10.198818 | 9.659207 | 10.627911 | 10.507808 | 11.37411 | 9.660431 | 10.215208 | 10.357174 | 9.516276 | 9.135513 | 9.032945 | 8.963489 | 9.123324 | 9.335922 | 9.37329 | 8.980742 | 9.108873 | 9.246984 | 8.883041 |
1601.05405
|
Sabir Ramazanov Dr.
|
S. Ramazanov, F. Arroja, M. Celoria, S. Matarrese, L. Pilo
|
Living with ghosts in Horava-Lifshitz gravity
|
33 pages, 1 figure. The proof of an equivalence between the IR limit
of the projectable Horava-Lifshitz gravity and the mimetic matter scenario is
given in Appendix A. Version accepted for publication in JHEP
|
JHEP06(2016)020
|
10.1007/JHEP06(2016)020
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the branch of the projectable Horava-Lifshitz model which
exhibits ghost instabilities in the low energy limit. It turns out that, due to
the Lorentz violating structure of the model and to the presence of a finite
strong coupling scale, the vacuum decay rate into photons is tiny in a wide
range of phenomenologically acceptable parameters. The strong coupling scale,
understood as a cutoff on ghosts' spatial momenta, can be raised up to $\Lambda
\sim 10$ TeV. At lower momenta, the projectable Horava-Lifshitz gravity is
equivalent to General Relativity supplemented by a fluid with a small positive
sound speed squared ($10^{-42}\lesssim$) $c^2_s \lesssim 10^{-20}$, that could
be a promising candidate for the Dark Matter. Despite these advantages, the
unavoidable presence of the strong coupling obscures the implementation of the
original Horava's proposal on quantum gravity. Apart from the Horava-Lifshitz
model, conclusions of the present work hold also for the mimetic matter
scenario, where the analogue of the projectability condition is achieved by a
non-invertible conformal transformation of the metric.
|
[
{
"created": "Wed, 20 Jan 2016 20:47:28 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Feb 2016 18:29:57 GMT",
"version": "v2"
},
{
"created": "Mon, 23 May 2016 14:26:46 GMT",
"version": "v3"
}
] |
2016-06-29
|
[
[
"Ramazanov",
"S.",
""
],
[
"Arroja",
"F.",
""
],
[
"Celoria",
"M.",
""
],
[
"Matarrese",
"S.",
""
],
[
"Pilo",
"L.",
""
]
] |
We consider the branch of the projectable Horava-Lifshitz model which exhibits ghost instabilities in the low energy limit. It turns out that, due to the Lorentz violating structure of the model and to the presence of a finite strong coupling scale, the vacuum decay rate into photons is tiny in a wide range of phenomenologically acceptable parameters. The strong coupling scale, understood as a cutoff on ghosts' spatial momenta, can be raised up to $\Lambda \sim 10$ TeV. At lower momenta, the projectable Horava-Lifshitz gravity is equivalent to General Relativity supplemented by a fluid with a small positive sound speed squared ($10^{-42}\lesssim$) $c^2_s \lesssim 10^{-20}$, that could be a promising candidate for the Dark Matter. Despite these advantages, the unavoidable presence of the strong coupling obscures the implementation of the original Horava's proposal on quantum gravity. Apart from the Horava-Lifshitz model, conclusions of the present work hold also for the mimetic matter scenario, where the analogue of the projectability condition is achieved by a non-invertible conformal transformation of the metric.
| 9.203254 | 10.08448 | 9.058218 | 8.787592 | 9.437948 | 9.759677 | 9.453962 | 9.253707 | 9.230714 | 9.302807 | 9.135655 | 8.722607 | 8.813751 | 8.91652 | 8.718606 | 8.90448 | 8.739362 | 8.759926 | 8.685163 | 8.954876 | 8.854741 |
hep-th/0012222
|
Yaron Oz
|
Mohsen Alishahiha, Harald Ita and Yaron Oz
|
On Superconnections and the Tachyon Effective Action
|
14 pages, Latex
|
Phys.Lett.B503:181-188,2001
|
10.1016/S0370-2693(01)00175-7
|
CERN-TH/2000-386
|
hep-th
| null |
We propose a form of the effective action of the tachyon and gauge fields for
brane-antibrane systems and non-BPS Dp-branes, written in terms of the
supercurvature. Kink and vortex solutions with constant infinite gauge field
strength reproduce the exact tensions of the lower-dimensional D-branes. We
discuss the relation to BSFT and other models in the literature.
|
[
{
"created": "Fri, 22 Dec 2000 19:50:26 GMT",
"version": "v1"
}
] |
2009-09-29
|
[
[
"Alishahiha",
"Mohsen",
""
],
[
"Ita",
"Harald",
""
],
[
"Oz",
"Yaron",
""
]
] |
We propose a form of the effective action of the tachyon and gauge fields for brane-antibrane systems and non-BPS Dp-branes, written in terms of the supercurvature. Kink and vortex solutions with constant infinite gauge field strength reproduce the exact tensions of the lower-dimensional D-branes. We discuss the relation to BSFT and other models in the literature.
| 13.687265 | 10.535002 | 16.263933 | 10.879909 | 12.386522 | 11.306525 | 11.526185 | 11.488074 | 12.164369 | 16.71291 | 11.646725 | 12.282092 | 14.322195 | 12.091485 | 11.867907 | 12.204571 | 12.113276 | 12.028774 | 12.729224 | 13.811748 | 12.479885 |
hep-th/0210054
|
Takao Suyama
|
Takao Suyama
|
Closed String Tachyons and RG flows
|
9 pages
|
JHEP 0210 (2002) 051
|
10.1088/1126-6708/2002/10/051
|
KEK-TH-849
|
hep-th
| null |
We consider bulk tachyon condensations in a non-linear sigma model whose low
energy effective theory contains a nontrivial scalar potential. We argue that
one would typically encounter a strong coupling background along a RG flow
corresponding to a bulk tachyon condensation, beyond which the RG analysis
would not be reliable. In a range of the flow in which the string coupling
constant is small, we can show that the tachyon condensation actually decreases
the central charge of the sigma model.
|
[
{
"created": "Mon, 7 Oct 2002 04:54:18 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Suyama",
"Takao",
""
]
] |
We consider bulk tachyon condensations in a non-linear sigma model whose low energy effective theory contains a nontrivial scalar potential. We argue that one would typically encounter a strong coupling background along a RG flow corresponding to a bulk tachyon condensation, beyond which the RG analysis would not be reliable. In a range of the flow in which the string coupling constant is small, we can show that the tachyon condensation actually decreases the central charge of the sigma model.
| 10.375159 | 10.126525 | 11.075855 | 10.338069 | 11.095471 | 9.748347 | 10.056459 | 10.13054 | 9.686139 | 12.110391 | 10.016937 | 10.049753 | 11.637937 | 10.22398 | 10.014908 | 10.343626 | 10.017905 | 10.258173 | 10.246396 | 11.555632 | 10.207896 |
1309.0864
|
Leonardo Giuliano Trombetta
|
Diana L. L\'opez Nacir, Francisco D. Mazzitelli and Leonardo G.
Trombetta
|
The Hartree approximation in curved spacetimes revisited I: the
effective potential in de Sitter
|
40 pages, 8 figures
|
Phys. Rev. D 89, 024006 (2014)
|
10.1103/PhysRevD.89.024006
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a quantum scalar field with {\lambda}{\phi}^4 interaction in
curved spacetimes. The quantum effects are taken into account nonperturbatively
using the Hartree approximation to the 2PI effective action. Although this
approximation has been considered in many previous works, we reconsider it
using a consistent nonperturbative renormalization procedure, which we extend
to general curved spacetimes. We obtain the renormalized equations for the mean
field and for the propagator of the fluctuations, showing explicitly their
independence on the arbitrary scale introduced by the regularization scheme. We
apply our results to the particular case of de Sitter spacetime and discuss
spontaneous symmetry breaking. The results depend strongly on the
renormalization procedure.
|
[
{
"created": "Tue, 3 Sep 2013 23:24:02 GMT",
"version": "v1"
}
] |
2014-01-15
|
[
[
"Nacir",
"Diana L. López",
""
],
[
"Mazzitelli",
"Francisco D.",
""
],
[
"Trombetta",
"Leonardo G.",
""
]
] |
We consider a quantum scalar field with {\lambda}{\phi}^4 interaction in curved spacetimes. The quantum effects are taken into account nonperturbatively using the Hartree approximation to the 2PI effective action. Although this approximation has been considered in many previous works, we reconsider it using a consistent nonperturbative renormalization procedure, which we extend to general curved spacetimes. We obtain the renormalized equations for the mean field and for the propagator of the fluctuations, showing explicitly their independence on the arbitrary scale introduced by the regularization scheme. We apply our results to the particular case of de Sitter spacetime and discuss spontaneous symmetry breaking. The results depend strongly on the renormalization procedure.
| 6.230866 | 6.301822 | 5.434588 | 5.211586 | 5.797516 | 5.600539 | 5.7017 | 5.76326 | 5.374075 | 5.88929 | 5.82601 | 5.975255 | 5.750676 | 5.806329 | 5.999156 | 5.993717 | 5.919379 | 5.762633 | 5.691801 | 5.92869 | 5.721909 |
2111.08879
|
Kevin Costello
|
Kevin J. Costello
|
Quantizing local holomorphic field theories on twistor space
| null | null | null | null |
hep-th math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper studies a class of four-dimensional quantum field theories which
arise by quantizing local holomorphic field theories on twistor space. These
theories have some remarkable properties: in particular, all correlation
functions are rational functions. The two main examples are the $WZW_4$ model
of Donaldson and Losev, Moore, Nekrasov and Shatashvili, and self-dual
Yang-Mills theory. In each case, anomalies on twistor space must be cancelled
by a Green-Schwarz mechanism, which introduces additional fields. For $WZW_4$,
this only works for $G = SO(8)$ and the additional field is gravitational. For
self-dual Yang-Mills, this works for $SU(2)$, $SU(3)$, $SO(8)$ and the
exceptional groups, and the additional field is an axion.
|
[
{
"created": "Wed, 17 Nov 2021 03:12:59 GMT",
"version": "v1"
}
] |
2021-11-18
|
[
[
"Costello",
"Kevin J.",
""
]
] |
This paper studies a class of four-dimensional quantum field theories which arise by quantizing local holomorphic field theories on twistor space. These theories have some remarkable properties: in particular, all correlation functions are rational functions. The two main examples are the $WZW_4$ model of Donaldson and Losev, Moore, Nekrasov and Shatashvili, and self-dual Yang-Mills theory. In each case, anomalies on twistor space must be cancelled by a Green-Schwarz mechanism, which introduces additional fields. For $WZW_4$, this only works for $G = SO(8)$ and the additional field is gravitational. For self-dual Yang-Mills, this works for $SU(2)$, $SU(3)$, $SO(8)$ and the exceptional groups, and the additional field is an axion.
| 6.052797 | 5.750172 | 6.741906 | 5.47653 | 5.681444 | 5.995229 | 5.701592 | 5.942372 | 5.856469 | 6.983619 | 5.732398 | 5.707734 | 6.220182 | 5.642514 | 6.053051 | 5.732502 | 5.573643 | 5.967261 | 5.860788 | 6.499968 | 5.930109 |
hep-th/9406010
|
Sathya
|
S.Guruswamy, S.G.Rajeev and P.Vitale
|
O(N) Sigma Model as a Three Dimensional Conformal Field Theory
|
35 pages, TeX, (Revised version, to appear in Nucl. Phys. B--paper
shortened, a discussion added and other minor corrections)
|
Nucl.Phys. B438 (1995) 491-521
|
10.1016/0550-3213(94)00556-T
|
UR-1357, ER-40685-807
|
hep-th cond-mat
| null |
We study a three dimensional conformal field theory in terms of its partition
function on arbitrary curved spaces. The large $N$ limit of the nonlinear sigma
model at the non-trivial fixed point is shown to be an example of a conformal
field theory, using zeta--function regularization. We compute the critical
properties of this model in various spaces of constant curvature ($R^2 \times
S^1$, $S^1\times S^1 \times R$, $S^2\times R$, $H^2\times R$, $S^1 \times S^1
\times S^1$ and $S^2 \times S^1$) and we argue that what distinguishes the
different cases is not the Riemann curvature but the conformal class of the
metric. In the case $H^2\times R$ (constant negative curvature), the $O(N)$
symmetry is spontaneously broken at the critical point. In the case $S^2\times
R$ (constant positive curvature) we find that the free energy vanishes,
consistent with conformal equivalence of this manifold to $R^3$, although the
correlation length is finite. In the zero curvature cases, the correlation
length is finite due to finite size effects. These results describe two
dimensional quantum phase transitions or three dimensional classical ones.
|
[
{
"created": "Fri, 3 Jun 1994 00:30:59 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Dec 1994 23:31:21 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Guruswamy",
"S.",
""
],
[
"Rajeev",
"S. G.",
""
],
[
"Vitale",
"P.",
""
]
] |
We study a three dimensional conformal field theory in terms of its partition function on arbitrary curved spaces. The large $N$ limit of the nonlinear sigma model at the non-trivial fixed point is shown to be an example of a conformal field theory, using zeta--function regularization. We compute the critical properties of this model in various spaces of constant curvature ($R^2 \times S^1$, $S^1\times S^1 \times R$, $S^2\times R$, $H^2\times R$, $S^1 \times S^1 \times S^1$ and $S^2 \times S^1$) and we argue that what distinguishes the different cases is not the Riemann curvature but the conformal class of the metric. In the case $H^2\times R$ (constant negative curvature), the $O(N)$ symmetry is spontaneously broken at the critical point. In the case $S^2\times R$ (constant positive curvature) we find that the free energy vanishes, consistent with conformal equivalence of this manifold to $R^3$, although the correlation length is finite. In the zero curvature cases, the correlation length is finite due to finite size effects. These results describe two dimensional quantum phase transitions or three dimensional classical ones.
| 5.633003 | 5.75401 | 5.418919 | 5.487557 | 5.900641 | 5.812698 | 5.85912 | 5.205038 | 5.444395 | 5.818408 | 5.294667 | 5.285887 | 5.536884 | 5.445289 | 5.497076 | 5.451332 | 5.570345 | 5.327656 | 5.349074 | 5.481425 | 5.376918 |
hep-th/0411173
|
Florian Gmeiner
|
Ralph Blumenhagen, Florian Gmeiner, Gabriele Honecker, Dieter Lust,
Timo Weigand
|
The Statistics of Supersymmetric D-brane Models
|
62 pages, 31 figures, harvmac; v3: sections 3.2. + 3.7. added, figs.
7,28,29 added, figs. 24,25,26 corrected, refs. added, typos corrected
|
Nucl.Phys.B713:83-135,2005
|
10.1016/j.nuclphysb.2005.02.005
|
MPP-2004-147, LMU-TPS 04/13
|
hep-th
| null |
We investigate the statistics of the phenomenologically important D-brane
sector of string compactifications. In particular for the class of intersecting
D-brane models, we generalise methods known from number theory to determine the
asymptotic statistical distribution of solutions to the tadpole cancellation
conditions. Our approach allows us to compute the statistical distribution of
gauge theoretic observables like the rank of the gauge group, the number of
chiral generations or the probability of an SU(N) gauge factor. Concretely, we
study the statistics of intersecting branes on T^2 and T^4/Z_2 and T^6/Z_2 x
Z_2 orientifolds. Intriguingly, we find a statistical correlation between the
rank of the gauge group and the number of chiral generations. Finally, we
combine the statistics of the gauge theory sector with the statistics of the
flux sector and study how distributions of gauge theoretic quantities are
affected.
|
[
{
"created": "Thu, 18 Nov 2004 20:47:36 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Nov 2004 16:12:18 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Dec 2004 13:30:56 GMT",
"version": "v3"
}
] |
2009-10-07
|
[
[
"Blumenhagen",
"Ralph",
""
],
[
"Gmeiner",
"Florian",
""
],
[
"Honecker",
"Gabriele",
""
],
[
"Lust",
"Dieter",
""
],
[
"Weigand",
"Timo",
""
]
] |
We investigate the statistics of the phenomenologically important D-brane sector of string compactifications. In particular for the class of intersecting D-brane models, we generalise methods known from number theory to determine the asymptotic statistical distribution of solutions to the tadpole cancellation conditions. Our approach allows us to compute the statistical distribution of gauge theoretic observables like the rank of the gauge group, the number of chiral generations or the probability of an SU(N) gauge factor. Concretely, we study the statistics of intersecting branes on T^2 and T^4/Z_2 and T^6/Z_2 x Z_2 orientifolds. Intriguingly, we find a statistical correlation between the rank of the gauge group and the number of chiral generations. Finally, we combine the statistics of the gauge theory sector with the statistics of the flux sector and study how distributions of gauge theoretic quantities are affected.
| 6.200458 | 5.508338 | 5.880541 | 5.703326 | 5.754559 | 5.868425 | 6.013595 | 5.902748 | 5.42707 | 6.004178 | 5.646093 | 5.773198 | 5.9802 | 5.719307 | 5.85315 | 5.906595 | 5.724789 | 5.780406 | 5.671443 | 5.969547 | 5.824722 |
0711.4467
|
Nick Evans
|
Johanna Erdmenger, Nick Evans, Ingo Kirsch, Ed Threlfall
|
Mesons in Gauge/Gravity Duals - A Review
|
120 pages, 32 pdf figures, references added
|
Eur.Phys.J.A35:81-133,2008
|
10.1140/epja/i2007-10540-1
|
MPP-2007-108, SHEP-07-45, NI-07-071
|
hep-th hep-lat hep-ph
| null |
We review recent progress in studying mesons within gauge/gravity duality, in
the context of adding flavour degrees of freedom to generalizations of the
AdS/CFT correspondence. Our main focus is on the `top-down approach' of
considering models constructed within string theory. We explain the
string-theoretical constructions in detail, aiming at non-specialists. These
give rise to a new way of describing strongly coupled confining large N gauge
gauge theories similar to large N QCD. In particular, we consider gravity dual
descriptions of spontaneous chiral symmetry breaking, and compare with lattice
results. A further topic covered is the behaviour of flavour bound states in
finite temperature field theories dual to a gravity background involving a
black hole. We also describe the `bottom up' phenomenological approach to
mesons within AdS/QCD. -- Some previously unpublished results are also
included.
|
[
{
"created": "Wed, 28 Nov 2007 10:54:19 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Dec 2007 09:50:13 GMT",
"version": "v2"
}
] |
2010-04-06
|
[
[
"Erdmenger",
"Johanna",
""
],
[
"Evans",
"Nick",
""
],
[
"Kirsch",
"Ingo",
""
],
[
"Threlfall",
"Ed",
""
]
] |
We review recent progress in studying mesons within gauge/gravity duality, in the context of adding flavour degrees of freedom to generalizations of the AdS/CFT correspondence. Our main focus is on the `top-down approach' of considering models constructed within string theory. We explain the string-theoretical constructions in detail, aiming at non-specialists. These give rise to a new way of describing strongly coupled confining large N gauge gauge theories similar to large N QCD. In particular, we consider gravity dual descriptions of spontaneous chiral symmetry breaking, and compare with lattice results. A further topic covered is the behaviour of flavour bound states in finite temperature field theories dual to a gravity background involving a black hole. We also describe the `bottom up' phenomenological approach to mesons within AdS/QCD. -- Some previously unpublished results are also included.
| 10.170161 | 9.780835 | 11.14559 | 9.346202 | 9.732831 | 9.811077 | 9.261717 | 9.731016 | 9.29985 | 11.191926 | 9.396436 | 9.397701 | 9.953063 | 9.580608 | 9.867578 | 9.735342 | 9.579546 | 9.491867 | 9.375061 | 9.978984 | 9.239435 |
hep-th/9907124
|
Andrei Linde
|
Renata Kallosh, Lev Kofman, Andrei Linde, and Antoine Van Proeyen
|
Gravitino Production After Inflation
|
18 pages, v2: the version to be published in Phys. Rev.D; v3:
matching notations with longer paper hep-th/0006179
|
Phys.Rev.D61:103503,2000
|
10.1103/PhysRevD.61.103503
|
KUL-TF-99/12, SU-ITP-99/19, CITA-99-16
|
hep-th astro-ph gr-qc hep-ph
| null |
We investigate the production of gravitinos in a cosmological background.
Gravitinos can be produced during preheating after inflation due to a combined
effect of interactions with an oscillating inflaton field and absence of
conformal invariance. In order to get insight on conformal properties of
gravitino we reformulate phenomenological supergravity in SU(2,2|1)-symmetric
way. The Planck mass and F- and D-terms appear via the gauge-fixed value of a
superfield that we call conformon. We find that in general the probability of
gravitino production is not suppressed by the small gravitational coupling.
This may lead to a copious production of gravitinos after inflation. Efficiency
of the new non-thermal mechanism of gravitino production is very sensitive to
the choice of the underlying theory. This may put strong constraints on certain
classes of inflationary models.
|
[
{
"created": "Thu, 15 Jul 1999 14:15:24 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jan 2000 15:16:58 GMT",
"version": "v2"
},
{
"created": "Thu, 29 Jun 2000 12:18:39 GMT",
"version": "v3"
}
] |
2009-09-29
|
[
[
"Kallosh",
"Renata",
""
],
[
"Kofman",
"Lev",
""
],
[
"Linde",
"Andrei",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] |
We investigate the production of gravitinos in a cosmological background. Gravitinos can be produced during preheating after inflation due to a combined effect of interactions with an oscillating inflaton field and absence of conformal invariance. In order to get insight on conformal properties of gravitino we reformulate phenomenological supergravity in SU(2,2|1)-symmetric way. The Planck mass and F- and D-terms appear via the gauge-fixed value of a superfield that we call conformon. We find that in general the probability of gravitino production is not suppressed by the small gravitational coupling. This may lead to a copious production of gravitinos after inflation. Efficiency of the new non-thermal mechanism of gravitino production is very sensitive to the choice of the underlying theory. This may put strong constraints on certain classes of inflationary models.
| 9.733365 | 9.084843 | 9.739728 | 8.966424 | 10.241863 | 9.78759 | 9.699704 | 8.900549 | 9.139438 | 9.866693 | 8.97694 | 9.578189 | 9.417096 | 9.548946 | 9.792829 | 9.622705 | 9.585336 | 9.580012 | 9.393403 | 9.676387 | 9.545177 |
1305.6348
|
Lee Peng Teo
|
L. P. Teo
|
Finite temperature Fermionic Casimir interaction in Anti-de Sitter
spacetime
|
7 pages, 2 figures
| null |
10.1142/S0217751X13501583
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the finite temperature Casimir interactions on two parallel
boundaries in the anti-de Sitter spacetime AdS$_{D+1}$ induced by the vacuum
fluctuations of a massive fermionic field with MIT bag boundary conditions. As
in the Minkowski spacetime, the Casimir interaction always tends to attract the
two boundaries to each other at any temperature and for any mass. For bosonic
fields, it is well known that the high temperature leading term of the Casimir
interaction is linear in temperature. However, for fermionic fields, the
Casimir interaction decays exponentially at high temperature due to the absence
of zero Matsubara frequency.
|
[
{
"created": "Tue, 28 May 2013 00:55:12 GMT",
"version": "v1"
}
] |
2015-06-16
|
[
[
"Teo",
"L. P.",
""
]
] |
We study the finite temperature Casimir interactions on two parallel boundaries in the anti-de Sitter spacetime AdS$_{D+1}$ induced by the vacuum fluctuations of a massive fermionic field with MIT bag boundary conditions. As in the Minkowski spacetime, the Casimir interaction always tends to attract the two boundaries to each other at any temperature and for any mass. For bosonic fields, it is well known that the high temperature leading term of the Casimir interaction is linear in temperature. However, for fermionic fields, the Casimir interaction decays exponentially at high temperature due to the absence of zero Matsubara frequency.
| 5.948634 | 5.174963 | 7.281074 | 5.077527 | 5.538232 | 5.237984 | 5.173037 | 5.209546 | 5.26251 | 7.561996 | 4.953837 | 5.371161 | 6.072861 | 5.689841 | 5.691628 | 5.588467 | 5.549416 | 5.454606 | 5.508008 | 5.989376 | 5.326341 |
hep-th/9505130
|
Annette Holtkamp
|
Detlev Buchholz
|
Phase Space Properties of Local Observables and Structure of Scaling
Limits
|
23 pages, AMS LaTeX
|
Annales Poincare Phys.Theor. 64 (1996) 433-460
| null |
DESY 95-095
|
hep-th
| null |
For any given algebra of local observables in relativistic quantum field
theory there exists an associated scaling algebra which permits one to
introduce renormalization group transformations and to construct the scaling
(short distance) limit of the theory. On the basis of this result it is
discussed how the phase space properties of a theory determine the structure of
its scaling limit. Bounds on the number of local degrees of freedom appearing
in the scaling limit are given which allow one to distinguish between theories
with classical and quantum scaling limits. The results can also be used to
establish physically significant algebraic properties of the scaling limit
theories, such as the split property.
|
[
{
"created": "Mon, 22 May 1995 11:48:38 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Buchholz",
"Detlev",
""
]
] |
For any given algebra of local observables in relativistic quantum field theory there exists an associated scaling algebra which permits one to introduce renormalization group transformations and to construct the scaling (short distance) limit of the theory. On the basis of this result it is discussed how the phase space properties of a theory determine the structure of its scaling limit. Bounds on the number of local degrees of freedom appearing in the scaling limit are given which allow one to distinguish between theories with classical and quantum scaling limits. The results can also be used to establish physically significant algebraic properties of the scaling limit theories, such as the split property.
| 8.178452 | 8.081882 | 8.679325 | 7.844567 | 7.883109 | 7.950983 | 7.521907 | 7.670623 | 7.644742 | 9.147811 | 7.521963 | 7.536264 | 7.976814 | 7.475693 | 7.644585 | 7.371569 | 7.262509 | 7.454494 | 7.664638 | 7.484406 | 7.695367 |
1504.03672
|
Sung-Soo Kim
|
Sung-Soo Kim, Masato Taki, Futoshi Yagi
|
Tao Probing the End of the World
|
15 figures, 41 pages, v2: minor revision, v3: published version
|
Prog. Theor. Exp. Phys. 2015, 083B02
|
10.1093/ptep/ptv108
|
KIAS-P15010, RIKEN-STAMP-3
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce a new type IIB 5-brane description for the E-string theory which
is the world-volume theory on the M5-brane probing the end of the world
M9-brane. The E-string in the new realization is depicted as spiral 5-branes
web equipped with the cyclic structure which is key to uplifting to six
dimensions. Utilizing the topological vertex to the 5-brane web configuration
enables us to write down a combinatorial formula for the generating function of
the E-string elliptic genera, namely the full partition function of topological
strings on the local 1/2 K3 surface.
|
[
{
"created": "Tue, 14 Apr 2015 19:50:57 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Jun 2015 14:08:15 GMT",
"version": "v2"
},
{
"created": "Sun, 2 Aug 2015 11:29:43 GMT",
"version": "v3"
}
] |
2015-08-04
|
[
[
"Kim",
"Sung-Soo",
""
],
[
"Taki",
"Masato",
""
],
[
"Yagi",
"Futoshi",
""
]
] |
We introduce a new type IIB 5-brane description for the E-string theory which is the world-volume theory on the M5-brane probing the end of the world M9-brane. The E-string in the new realization is depicted as spiral 5-branes web equipped with the cyclic structure which is key to uplifting to six dimensions. Utilizing the topological vertex to the 5-brane web configuration enables us to write down a combinatorial formula for the generating function of the E-string elliptic genera, namely the full partition function of topological strings on the local 1/2 K3 surface.
| 11.568026 | 11.211411 | 15.156957 | 9.951875 | 11.085297 | 10.578264 | 11.417999 | 10.608725 | 10.309207 | 15.051452 | 10.016735 | 10.703808 | 12.60257 | 11.251012 | 10.989515 | 10.460644 | 11.339976 | 10.885349 | 11.013368 | 12.211824 | 10.780879 |
hep-th/0004197
|
Claudio Nassif da Cruz
|
Claudio Nassif and P.R. Silva (Physics Department, UFMG, Belo
Horizonte, Brazil)
|
Thompson's Method applied to Quantum Electrodynamics (QED)
|
16 pages, no figures
| null | null | null |
hep-th
| null |
In this work we apply Thompson's method (of the dimensions) to study the
quantum electrodynamics (QED). This method can be considered as a simple and
alternative way to the renormalisation group (R.G) approach and when applied to
QED lagrangian is able to obtain the running coupling constant behavior $\alpha
(\mu)$, namely the dependence of $\alpha$ on the energy scale. We also obtain
the dependence of the mass on the energy scale. The calculations are evaluated
just at $d_c=4$, where $d_c$ is the upper critical dimension of the problem, so
that we obtain logarithmic behavior both for the coupling $\alpha$ and the mass
$m$ on the energy scale $\mu$.
|
[
{
"created": "Thu, 27 Apr 2000 18:02:42 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Nassif",
"Claudio",
"",
"Physics Department, UFMG, Belo\n Horizonte, Brazil"
],
[
"Silva",
"P. R.",
"",
"Physics Department, UFMG, Belo\n Horizonte, Brazil"
]
] |
In this work we apply Thompson's method (of the dimensions) to study the quantum electrodynamics (QED). This method can be considered as a simple and alternative way to the renormalisation group (R.G) approach and when applied to QED lagrangian is able to obtain the running coupling constant behavior $\alpha (\mu)$, namely the dependence of $\alpha$ on the energy scale. We also obtain the dependence of the mass on the energy scale. The calculations are evaluated just at $d_c=4$, where $d_c$ is the upper critical dimension of the problem, so that we obtain logarithmic behavior both for the coupling $\alpha$ and the mass $m$ on the energy scale $\mu$.
| 8.82014 | 9.320774 | 7.733043 | 7.60551 | 8.583425 | 9.023039 | 8.345315 | 8.550621 | 7.512802 | 9.118636 | 8.848641 | 8.032215 | 8.009882 | 7.68706 | 7.915921 | 8.071959 | 7.838877 | 7.934003 | 7.952384 | 8.273957 | 8.232684 |
hep-th/9606166
|
Sayan Kar
|
Sayan Kar
|
Focusing of timelike worldsheets in a theory of strings
|
14 pages, RevTex, no figures, extended, to appear in Phys Rev D
|
Phys.Rev. D55 (1997) 7921-7925
|
10.1103/PhysRevD.55.7921
|
IP-BBSR-96/36
|
hep-th
| null |
An analysis of the generalised Raychaudhuri equations for string world sheets
is shown to lead to the notion of focusing of timelike worldsheets in the
classical Nambu-Goto theory of strings. The conditions under which such effects
can occur are obtained . Explicit solutions as well as the Cauchy initial value
problem are discussed. The results closely resemble their counterparts in the
theory of point particles which were obtained in the context of the analysis of
spacetime singularities in General Relativity many years ago.
|
[
{
"created": "Tue, 25 Jun 1996 19:34:09 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Feb 1997 18:17:57 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Kar",
"Sayan",
""
]
] |
An analysis of the generalised Raychaudhuri equations for string world sheets is shown to lead to the notion of focusing of timelike worldsheets in the classical Nambu-Goto theory of strings. The conditions under which such effects can occur are obtained . Explicit solutions as well as the Cauchy initial value problem are discussed. The results closely resemble their counterparts in the theory of point particles which were obtained in the context of the analysis of spacetime singularities in General Relativity many years ago.
| 11.612495 | 10.179411 | 9.437943 | 9.809078 | 10.24396 | 11.278904 | 10.381736 | 10.009134 | 9.919569 | 10.493749 | 10.933659 | 10.436405 | 10.132218 | 10.457674 | 10.619494 | 10.32988 | 10.592791 | 10.251286 | 10.438187 | 11.025293 | 10.503559 |
2404.04758
|
Yang Liu
|
Shunrui Li and Yang Liu
|
Kerr-like metric in 4D Double Field Theory
|
27 pages
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Double Field Theory suggests that people can view the whole massless NS-NS
sector as the gravitational unity. The $O(D,D)$ covariance and the doubled
diffeomorphisms determine precisely how the Standard Model as well as a
relativistic point particle should couple to the NS-NS sector. The theory also
refines the notion of singularity. In [1], the authors derive analytically the
most general, spherically symmetric, asymptotically flat, static vacuum
solution to $D = 4$ Double Field Theory. The solution contains three free
parameters and consequently generalizes the Schwarzschild geometry. In this
paper, we generalize the metric in [1] to obtain the 'Kerr-like' metric in $D =
4$ double field theory (DFT) in the Einstein frame and string frame. Then we
apply 'covariant phase space' approach to study the thermodynamic properties of
the metric we have obtained. We explore the first law of black hole
thermodynamics and Hawking radiation for this metric carefully. As a special
case, the 'Schwarzschild-like' metric in $4D$ double field theory in [1] can be
recovered.
|
[
{
"created": "Sat, 6 Apr 2024 23:48:42 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Apr 2024 16:46:11 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Jun 2024 21:39:04 GMT",
"version": "v3"
}
] |
2024-06-21
|
[
[
"Li",
"Shunrui",
""
],
[
"Liu",
"Yang",
""
]
] |
Double Field Theory suggests that people can view the whole massless NS-NS sector as the gravitational unity. The $O(D,D)$ covariance and the doubled diffeomorphisms determine precisely how the Standard Model as well as a relativistic point particle should couple to the NS-NS sector. The theory also refines the notion of singularity. In [1], the authors derive analytically the most general, spherically symmetric, asymptotically flat, static vacuum solution to $D = 4$ Double Field Theory. The solution contains three free parameters and consequently generalizes the Schwarzschild geometry. In this paper, we generalize the metric in [1] to obtain the 'Kerr-like' metric in $D = 4$ double field theory (DFT) in the Einstein frame and string frame. Then we apply 'covariant phase space' approach to study the thermodynamic properties of the metric we have obtained. We explore the first law of black hole thermodynamics and Hawking radiation for this metric carefully. As a special case, the 'Schwarzschild-like' metric in $4D$ double field theory in [1] can be recovered.
| 9.092812 | 8.336956 | 8.382305 | 8.271837 | 8.748956 | 8.468256 | 8.402553 | 8.469681 | 8.414035 | 8.660476 | 8.48337 | 8.310327 | 8.364473 | 8.231707 | 8.234555 | 8.084924 | 8.478924 | 8.160484 | 8.182597 | 8.250538 | 8.488376 |
1806.08923
|
Jun Feng
|
Jun Feng, Xiaoyang Huang, Yao-Zhong Zhang, Heng Fan
|
Bell inequalities violation within non-Bunch-Davies states
|
9 pages, 4 figures, final version to appear in Physics Letters B
|
Phys. Lett. B 786, 403 (2018)
|
10.1016/j.physletb.2018.10.020
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the quantum nature of non-Bunch-Davies states in de Sitter space by
evaluating CHSH inequality on a localized two-atom system. We show that quantum
nonlocality can be generated through the Markovian evolution of two-atom,
witnessed by a violation of CHSH inequality on its final equilibrium state. We
find that the upper bound of inequality violation is determined by different
choices of de Sitter-invariant vacua sectors. In particular, with growing
Gibbons-Hawking temperature, the CHSH bound degrades monotonously for
Bunch-Davies vacuum sector. Due to the intrinsic correlation of
non-Bunch-Davies vacua, we find that the related violation of inequality can
however drastically increase after certain turning point, and may persist for
arbitrarily large environment decoherence. This implies that the CHSH
inequality is useful to classify the initial quantum state of the Universe.
Finally, we clarify that the witnessed intrinsic correlation of
non-Bunch-Davies vacua can be utilized for quantum information applications,
e.g., surpassing the Heisenberg uncertainty bound of quantum measurement in de
Sitter space.
|
[
{
"created": "Sat, 23 Jun 2018 07:36:21 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Oct 2018 16:54:32 GMT",
"version": "v2"
}
] |
2018-10-31
|
[
[
"Feng",
"Jun",
""
],
[
"Huang",
"Xiaoyang",
""
],
[
"Zhang",
"Yao-Zhong",
""
],
[
"Fan",
"Heng",
""
]
] |
We study the quantum nature of non-Bunch-Davies states in de Sitter space by evaluating CHSH inequality on a localized two-atom system. We show that quantum nonlocality can be generated through the Markovian evolution of two-atom, witnessed by a violation of CHSH inequality on its final equilibrium state. We find that the upper bound of inequality violation is determined by different choices of de Sitter-invariant vacua sectors. In particular, with growing Gibbons-Hawking temperature, the CHSH bound degrades monotonously for Bunch-Davies vacuum sector. Due to the intrinsic correlation of non-Bunch-Davies vacua, we find that the related violation of inequality can however drastically increase after certain turning point, and may persist for arbitrarily large environment decoherence. This implies that the CHSH inequality is useful to classify the initial quantum state of the Universe. Finally, we clarify that the witnessed intrinsic correlation of non-Bunch-Davies vacua can be utilized for quantum information applications, e.g., surpassing the Heisenberg uncertainty bound of quantum measurement in de Sitter space.
| 10.293861 | 11.074764 | 10.977351 | 10.387629 | 10.989241 | 11.4386 | 11.379333 | 10.864297 | 10.174662 | 11.144218 | 9.79813 | 10.389905 | 10.181969 | 10.107814 | 10.090174 | 10.315538 | 10.359947 | 10.158831 | 10.319406 | 10.192561 | 9.797487 |
hep-th/9812165
|
Konstadinos Sfetsos
|
Konstadinos Sfetsos
|
On (multi-)center branes and exact string vacua
|
9 pages, latex; To be published in the proceedings of the Quantum
Aspects of Gauge Theories, Supersymmetry and Unification, Corfu, Greece,
20-26 September 1998
| null |
10.1007/BFb0104249
|
CERN-TH/98-408
|
hep-th
| null |
Multicenter supergravity solutions corresponding to Higgs phases of
supersymmetric Yang-Mills theories are considered. For NS5 branes we identify
three cases where there is a description in terms of exact conformal field
theories. Other supergravity solutions, such as D3-branes with angular
momentum, are understood as special limits of multicenter ones. Within our
context we also consider 4-dim gravitational multi-instantons.
|
[
{
"created": "Fri, 18 Dec 1998 10:14:10 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Sfetsos",
"Konstadinos",
""
]
] |
Multicenter supergravity solutions corresponding to Higgs phases of supersymmetric Yang-Mills theories are considered. For NS5 branes we identify three cases where there is a description in terms of exact conformal field theories. Other supergravity solutions, such as D3-branes with angular momentum, are understood as special limits of multicenter ones. Within our context we also consider 4-dim gravitational multi-instantons.
| 17.137642 | 11.557734 | 15.388863 | 11.709624 | 13.144092 | 11.919608 | 11.640966 | 10.79571 | 12.744644 | 17.139992 | 13.043427 | 11.962551 | 14.004505 | 12.409736 | 12.638789 | 12.291122 | 12.600659 | 12.437884 | 12.706505 | 13.215881 | 13.881599 |
0803.2409
|
Adi Armoni
|
Adi Armoni, Jefferson M. Ridgway
|
Quantum Broadening of k-Strings from the AdS/CFT Correspondence
|
13 pages, LaTex. v2: minor changes, references added. To appear in
Nucl.Phys.B
|
Nucl.Phys.B801:118-127,2008
|
10.1016/j.nuclphysb.2008.04.022
| null |
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the quantum broadening (width) of k-strings. We generalise an old
result by Luscher, Munster and Weisz to the case of a k-string, by using the
gauge/gravity correspondence. When the fundamental QCD-string is replaced by a
bound state of k strings, the bound state is better described by a wrapped
D-brane. We calculate the width of the k-string (the wrapped D-brane) in
several AdS/CFT backgrounds by using a D-brane probe and find universally that
omega_k ^2 = 1 / (2\pi \sigma_k) log R/r .
|
[
{
"created": "Mon, 17 Mar 2008 09:45:35 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Apr 2008 12:25:43 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Armoni",
"Adi",
""
],
[
"Ridgway",
"Jefferson M.",
""
]
] |
We study the quantum broadening (width) of k-strings. We generalise an old result by Luscher, Munster and Weisz to the case of a k-string, by using the gauge/gravity correspondence. When the fundamental QCD-string is replaced by a bound state of k strings, the bound state is better described by a wrapped D-brane. We calculate the width of the k-string (the wrapped D-brane) in several AdS/CFT backgrounds by using a D-brane probe and find universally that omega_k ^2 = 1 / (2\pi \sigma_k) log R/r .
| 13.736043 | 13.937532 | 14.351188 | 12.835859 | 12.865186 | 13.728225 | 14.330724 | 12.918455 | 12.872127 | 16.720964 | 11.850704 | 12.238593 | 13.4451 | 12.106762 | 12.670822 | 12.60933 | 12.170074 | 12.711914 | 11.955377 | 12.847239 | 12.639853 |
2012.10913
|
Kexin Su
|
Xiang Dong, Kexin Su, Hao Cai, Kai Zhu, Yonggui Gao
|
Tensor amplitudes for partial wave analysis of $\psi
\to\Delta\bar{\Delta}$ within helicity frame
|
10 pages
| null | null | null |
hep-th hep-ex hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We have derived the tensor amplitudes for partial wave analysis of
$\psi\to\Delta\bar{\Delta}$, $\Delta \to p \pi$ within the helicity frame, as
well as the amplitudes for the other decay sequences with same final states.
These formulae are practical for the experiments measuring $\psi$ decaying into
$p \bar{p}\pi^+ \pi^-$ final states, such as BESIII with its recently collected
huge $J/\psi$ and $\psi(2S)$ data samples.
|
[
{
"created": "Sun, 20 Dec 2020 12:55:09 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Nov 2021 02:34:30 GMT",
"version": "v2"
},
{
"created": "Fri, 4 Mar 2022 02:50:52 GMT",
"version": "v3"
},
{
"created": "Wed, 8 Jun 2022 03:16:32 GMT",
"version": "v4"
}
] |
2022-06-09
|
[
[
"Dong",
"Xiang",
""
],
[
"Su",
"Kexin",
""
],
[
"Cai",
"Hao",
""
],
[
"Zhu",
"Kai",
""
],
[
"Gao",
"Yonggui",
""
]
] |
We have derived the tensor amplitudes for partial wave analysis of $\psi\to\Delta\bar{\Delta}$, $\Delta \to p \pi$ within the helicity frame, as well as the amplitudes for the other decay sequences with same final states. These formulae are practical for the experiments measuring $\psi$ decaying into $p \bar{p}\pi^+ \pi^-$ final states, such as BESIII with its recently collected huge $J/\psi$ and $\psi(2S)$ data samples.
| 7.535516 | 8.580112 | 7.470898 | 6.748303 | 7.563152 | 9.792835 | 8.23972 | 9.313295 | 6.682736 | 7.300436 | 7.982053 | 8.06704 | 7.147102 | 6.896845 | 7.31855 | 8.229788 | 7.282096 | 8.454113 | 7.169377 | 6.898164 | 7.498627 |
2406.01534
|
Azadeh Maleknejad
|
Azadeh Maleknejad, Joachim Kopp
|
Weyl Fermion Creation by Cosmological Gravitational Wave Background at
1-loop
|
34 pages, 8 figures
| null | null | null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Weyl fermions of spin $\frac12$ minimally coupled to Einstein's gravity in 4
dimensions cannot be produced purely gravitationally in an expanding Universe
at tree level. Surprisingly, as we showed in a recent letter [1], this changes
at gravitational 1-loop when cosmic perturbations, like a gravitational wave
background, are present. Such a background introduces a new scale, thereby
breaking the fermions' conformal invariance. This leads to a non-vanishing
gravitational self-energy for Weyl fermions at 1-loop and induces their
production. In this paper, we present an extended study of this new mechanism,
explicitly computing this effect using the in-in formalism. We work in an
expanding Universe in the radiation-dominated era as a fixed background.
Gravitational wave-induced fermion production has rich phenomenological
consequences. Notably, if Weyl fermions eventually acquire mass, and assuming
realistic - and potentially detectable - gravitational wave backgrounds, the
mechanism can explain the abundance of dark matter in the Universe. More
generally, gravitational-wave induced freeze-in is a new purely gravitational
mechanism for generating other feebly interacting fermions, e.g. right-handed
neutrinos. We show that this loop level effect can dominate over the
conventional - tree-level - gravitational production of superheavy fermions in
a sizable part of the parameter space.
|
[
{
"created": "Mon, 3 Jun 2024 17:06:07 GMT",
"version": "v1"
}
] |
2024-06-04
|
[
[
"Maleknejad",
"Azadeh",
""
],
[
"Kopp",
"Joachim",
""
]
] |
Weyl fermions of spin $\frac12$ minimally coupled to Einstein's gravity in 4 dimensions cannot be produced purely gravitationally in an expanding Universe at tree level. Surprisingly, as we showed in a recent letter [1], this changes at gravitational 1-loop when cosmic perturbations, like a gravitational wave background, are present. Such a background introduces a new scale, thereby breaking the fermions' conformal invariance. This leads to a non-vanishing gravitational self-energy for Weyl fermions at 1-loop and induces their production. In this paper, we present an extended study of this new mechanism, explicitly computing this effect using the in-in formalism. We work in an expanding Universe in the radiation-dominated era as a fixed background. Gravitational wave-induced fermion production has rich phenomenological consequences. Notably, if Weyl fermions eventually acquire mass, and assuming realistic - and potentially detectable - gravitational wave backgrounds, the mechanism can explain the abundance of dark matter in the Universe. More generally, gravitational-wave induced freeze-in is a new purely gravitational mechanism for generating other feebly interacting fermions, e.g. right-handed neutrinos. We show that this loop level effect can dominate over the conventional - tree-level - gravitational production of superheavy fermions in a sizable part of the parameter space.
| 9.494873 | 10.738258 | 9.042721 | 9.352544 | 9.753113 | 9.521682 | 10.237009 | 9.482818 | 9.042796 | 10.018414 | 9.708471 | 9.055883 | 8.880818 | 9.172109 | 9.336383 | 9.266629 | 9.455258 | 9.286623 | 9.149158 | 9.093693 | 9.235398 |
1907.11809
|
Roldao da Rocha
|
Luiz F. Ferreira, Roldao da Rocha
|
Tensor mesons, AdS/QCD and information
|
6 pages, 3 figures
|
Eur. Phys. J. C 80 (2020) 375
|
10.1140/epjc/s10052-020-7978-7
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Kaluza-Klein tower of higher spin-$S$ tensor meson resonances is here
scrutinized in the AdS/QCD hard wall model, encompassing the already
established resonances $\rho(770)$, $f_2(1270)$, $\omega_3(1670)$, $f_4(2050)$,
$\rho_5(2350)$, $f_6(2510)$ in PDG. A hybrid model employs both information
theory and AdS/QCD, where configurational-entropic Regge trajectories, relating
the configurational entropy of the tensor mesons family to their $S$ spin, and
also to their experimental mass spectra, are derived and analyzed. Therefore,
the mass spectra of higher spin-$S$ tensor meson resonances is obtained and
compared to the existing data in PDG.
|
[
{
"created": "Fri, 26 Jul 2019 22:47:24 GMT",
"version": "v1"
},
{
"created": "Thu, 7 May 2020 21:50:39 GMT",
"version": "v2"
}
] |
2020-05-11
|
[
[
"Ferreira",
"Luiz F.",
""
],
[
"da Rocha",
"Roldao",
""
]
] |
The Kaluza-Klein tower of higher spin-$S$ tensor meson resonances is here scrutinized in the AdS/QCD hard wall model, encompassing the already established resonances $\rho(770)$, $f_2(1270)$, $\omega_3(1670)$, $f_4(2050)$, $\rho_5(2350)$, $f_6(2510)$ in PDG. A hybrid model employs both information theory and AdS/QCD, where configurational-entropic Regge trajectories, relating the configurational entropy of the tensor mesons family to their $S$ spin, and also to their experimental mass spectra, are derived and analyzed. Therefore, the mass spectra of higher spin-$S$ tensor meson resonances is obtained and compared to the existing data in PDG.
| 8.784563 | 8.451455 | 7.704673 | 8.531007 | 8.263433 | 8.468646 | 8.298896 | 8.652577 | 8.003097 | 8.368487 | 8.570554 | 8.674426 | 7.903286 | 8.293379 | 8.262672 | 8.68407 | 8.842729 | 8.497771 | 8.412047 | 8.294946 | 8.54005 |
hep-th/0511196
|
Vatche Sahakian
|
Vatche Sahakian
|
Hairy strings
|
25 pages
|
Phys.Rev. D73 (2006) 026002
|
10.1103/PhysRevD.73.026002
|
NSF-KITP-05-89
|
hep-th
| null |
Zero modes of the worldsheet spinors of a closed string can source higher
order moments of the bulk supergravity fields. In this work, we analyze various
configurations of closed strings focusing on the imprints of the quantized
spinor vevs onto the tails of bulk fields. We identify supersymmetric
arrangements for which all multipole charges vanish; while for others, we find
that one is left with NSNS and RR dipole and quadrupole moments. Our analysis
is exhaustive with respect to all the bosonic fields of the bulk and to all
higher order moments. We comment on the relevance of these results to entropy
computations of hairy black holes of a single charge or more, and to
open/closed string duality.
|
[
{
"created": "Sat, 19 Nov 2005 19:57:51 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Sahakian",
"Vatche",
""
]
] |
Zero modes of the worldsheet spinors of a closed string can source higher order moments of the bulk supergravity fields. In this work, we analyze various configurations of closed strings focusing on the imprints of the quantized spinor vevs onto the tails of bulk fields. We identify supersymmetric arrangements for which all multipole charges vanish; while for others, we find that one is left with NSNS and RR dipole and quadrupole moments. Our analysis is exhaustive with respect to all the bosonic fields of the bulk and to all higher order moments. We comment on the relevance of these results to entropy computations of hairy black holes of a single charge or more, and to open/closed string duality.
| 15.362278 | 14.738788 | 16.523916 | 13.731338 | 14.57223 | 14.920518 | 15.562533 | 14.221042 | 14.215245 | 15.018068 | 13.9635 | 13.861708 | 14.468122 | 14.369967 | 14.243886 | 14.396594 | 14.238025 | 14.193128 | 13.9651 | 14.561871 | 14.46886 |
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