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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1805.11107
|
Toshifumi Noumi
|
Hiroshi Isono, Toshifumi Noumi, Gary Shiu
|
Momentum space approach to crossing symmetric CFT correlators
|
41 pages, 5 figures; v2: references added, minor changes, version
published in JHEP
| null |
10.1007/JHEP07(2018)136
|
KOBE-COSMO-18-06, MAD-TH-18-04
|
hep-th cond-mat.stat-mech math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a crossing symmetric basis for conformal four-point functions in
momentum space by requiring consistent factorization. Just as scattering
amplitudes factorize when the intermediate particle is on-shell, non-analytic
parts of conformal correlators enjoy a similar factorization in momentum space.
Based on this property, Polyakov, in his pioneering 1974 work, introduced a
basis for conformal correlators which manifestly satisfies the crossing
symmetry. He then initiated the bootstrap program by requiring its consistency
with the operator product expansion. This approach is complementary to the
ordinary bootstrap program, which is based on the conformal block and requires
the crossing symmetry as a consistency condition of the theory. Even though
Polyakov's original bootstrap approach has been revisited recently, the
crossing symmetric basis has not been constructed explicitly in momentum space.
In this paper we complete the construction of the crossing symmetric basis for
scalar four-point functions with an intermediate operator with a general spin,
by using new analytic expressions for three-point functions involving one
tensor. Our new basis manifests the analytic properties of conformal
correlators. Also the connected and disconnected correlators are manifestly
separated, so that it will be useful for the study of large $N$ CFTs in
particular.
|
[
{
"created": "Mon, 28 May 2018 18:00:13 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Oct 2018 20:53:17 GMT",
"version": "v2"
}
] |
2018-10-10
|
[
[
"Isono",
"Hiroshi",
""
],
[
"Noumi",
"Toshifumi",
""
],
[
"Shiu",
"Gary",
""
]
] |
We construct a crossing symmetric basis for conformal four-point functions in momentum space by requiring consistent factorization. Just as scattering amplitudes factorize when the intermediate particle is on-shell, non-analytic parts of conformal correlators enjoy a similar factorization in momentum space. Based on this property, Polyakov, in his pioneering 1974 work, introduced a basis for conformal correlators which manifestly satisfies the crossing symmetry. He then initiated the bootstrap program by requiring its consistency with the operator product expansion. This approach is complementary to the ordinary bootstrap program, which is based on the conformal block and requires the crossing symmetry as a consistency condition of the theory. Even though Polyakov's original bootstrap approach has been revisited recently, the crossing symmetric basis has not been constructed explicitly in momentum space. In this paper we complete the construction of the crossing symmetric basis for scalar four-point functions with an intermediate operator with a general spin, by using new analytic expressions for three-point functions involving one tensor. Our new basis manifests the analytic properties of conformal correlators. Also the connected and disconnected correlators are manifestly separated, so that it will be useful for the study of large $N$ CFTs in particular.
|
1612.04255
|
Eric Poisson
|
Eric Poisson and Jean Doucot
|
Gravitomagnetic tidal currents in rotating neutron stars
|
24 pages, 3 figures, final version to be published in Physical Review
D
|
Phys. Rev. D 95, 044023 (2017)
|
10.1103/PhysRevD.95.044023
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It was recently revealed that a rotating compact body responds dynamically
when it is subjected to a gravitomagnetic tidal field, even when this field is
idealized as time-independent. The dynamical response is characterized by
time-changing internal currents, and it was suspected to originate from
zero-frequency g-modes and r-modes driven by the tidal forces. In this paper we
provide additional insights into the phenomenon by examining the tidal response
of a rotating body within the framework of post-Newtonian gravity. This
approach allows us to develop an intuitive picture for the phenomenon, which
relies on the close analogy between post-Newtonian gravity and Maxwell's theory
of electromagnetism. In this picture, the coupling between the gravitomagnetic
tidal field and the body's rotational velocity is naturally expected to produce
an unbalanced Lorentz-like force within the body, and it is this force that is
responsible for the tidal currents. The simplicity of the fluid equations in
the post-Newtonian setting allows us to provide a complete description of the
zero-frequency modes and demonstrate their precise role in the establishment of
the tidal currents. We estimate the amplitude of these currents, and find that
for neutron-star binaries of relevance to LIGO, the scale of the velocity
perturbation is measured in kilometers per second when the rotation period is
comparable to 100 milliseconds. This estimate indicates that the tidal currents
may have a significant impact on the physics of neutron stars near merger.
|
[
{
"created": "Tue, 13 Dec 2016 16:06:20 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Jan 2017 15:46:30 GMT",
"version": "v2"
}
] |
2017-02-22
|
[
[
"Poisson",
"Eric",
""
],
[
"Doucot",
"Jean",
""
]
] |
It was recently revealed that a rotating compact body responds dynamically when it is subjected to a gravitomagnetic tidal field, even when this field is idealized as time-independent. The dynamical response is characterized by time-changing internal currents, and it was suspected to originate from zero-frequency g-modes and r-modes driven by the tidal forces. In this paper we provide additional insights into the phenomenon by examining the tidal response of a rotating body within the framework of post-Newtonian gravity. This approach allows us to develop an intuitive picture for the phenomenon, which relies on the close analogy between post-Newtonian gravity and Maxwell's theory of electromagnetism. In this picture, the coupling between the gravitomagnetic tidal field and the body's rotational velocity is naturally expected to produce an unbalanced Lorentz-like force within the body, and it is this force that is responsible for the tidal currents. The simplicity of the fluid equations in the post-Newtonian setting allows us to provide a complete description of the zero-frequency modes and demonstrate their precise role in the establishment of the tidal currents. We estimate the amplitude of these currents, and find that for neutron-star binaries of relevance to LIGO, the scale of the velocity perturbation is measured in kilometers per second when the rotation period is comparable to 100 milliseconds. This estimate indicates that the tidal currents may have a significant impact on the physics of neutron stars near merger.
|
hep-th/0610038
|
Asato Tsuchiya
|
Goro Ishiki, Shinji Shimasaki, Yastoshi Takayama, Asato Tsuchiya
|
Embedding of theories with SU(2|4) symmetry into the plane wave matrix
model
|
56 pages, 6 figures, v2:a footnote and references added, section 5.2
improved, typos corrected, v3:typos corrected, v4: some equations are
corrected, eq.(G.2) is added, conclusion is unchanged
|
JHEP0611:089,2006
|
10.1088/1126-6708/2006/11/089
|
OU-HET 567
|
hep-th
| null |
We study theories with SU(2|4) symmetry, which include the plane wave matrix
model, 2+1 SYM on RxS^2 and N=4 SYM on RxS^3/Z_k. All these theories possess
many vacua. From Lin-Maldacena's method which gives the gravity dual of each
vacuum, it is predicted that the theory around each vacuum of 2+1 SYM on RxS^2
and N=4 SYM on RxS^3/Z_k is embedded in the plane wave matrix model. We show
this directly on the gauge theory side. We clearly reveal relationships among
the spherical harmonics on S^3, the monopole harmonics and the harmonics on
fuzzy spheres. We extend the compactification (the T-duality) in matrix models
a la Taylor to that on spheres.
|
[
{
"created": "Tue, 3 Oct 2006 06:47:07 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Oct 2006 14:07:29 GMT",
"version": "v2"
},
{
"created": "Tue, 26 Dec 2006 15:04:14 GMT",
"version": "v3"
},
{
"created": "Fri, 14 Dec 2007 11:04:19 GMT",
"version": "v4"
}
] |
2009-11-11
|
[
[
"Ishiki",
"Goro",
""
],
[
"Shimasaki",
"Shinji",
""
],
[
"Takayama",
"Yastoshi",
""
],
[
"Tsuchiya",
"Asato",
""
]
] |
We study theories with SU(2|4) symmetry, which include the plane wave matrix model, 2+1 SYM on RxS^2 and N=4 SYM on RxS^3/Z_k. All these theories possess many vacua. From Lin-Maldacena's method which gives the gravity dual of each vacuum, it is predicted that the theory around each vacuum of 2+1 SYM on RxS^2 and N=4 SYM on RxS^3/Z_k is embedded in the plane wave matrix model. We show this directly on the gauge theory side. We clearly reveal relationships among the spherical harmonics on S^3, the monopole harmonics and the harmonics on fuzzy spheres. We extend the compactification (the T-duality) in matrix models a la Taylor to that on spheres.
|
hep-th/0011058
|
Kazunori Takenaga
|
M.Sakamoto (Kobe Univ), M.Tachibana (MIT), K.Takenaga (DIAS)
|
SUSY Breaking through Compactification
|
6 pages, 1 figure, a reference added
| null | null | null |
hep-th
| null |
We propose a new mechanism of spontaneous supersymmetry breaking. The
existence of extra dimensions with nontrivial topology plays an important role.
We investigate new features resulting from this mechanism. One noteworthy
feature is that there exists a phase in which the translational invariance for
the compactified directions is broken spontaneously. The mechanism we propose
also yields quite different vacuum structures for models with different global
symmetries.
|
[
{
"created": "Wed, 8 Nov 2000 19:36:10 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Nov 2000 14:45:40 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Sakamoto",
"M.",
"",
"Kobe Univ"
],
[
"Tachibana",
"M.",
"",
"MIT"
],
[
"Takenaga",
"K.",
"",
"DIAS"
]
] |
We propose a new mechanism of spontaneous supersymmetry breaking. The existence of extra dimensions with nontrivial topology plays an important role. We investigate new features resulting from this mechanism. One noteworthy feature is that there exists a phase in which the translational invariance for the compactified directions is broken spontaneously. The mechanism we propose also yields quite different vacuum structures for models with different global symmetries.
|
1011.1871
|
Carl Bender
|
Carl M. Bender, Dorje C. Brody, Joao Caldeira, and Bernard K. Meister
|
PT-symmetric quantum state discrimination
|
4 pages, no figures
|
Philosophical Transactions of the Royal Society A371, 20120160
(2013)
|
10.1098/rsta.2012.0160
| null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Suppose that a system is known to be in one of two quantum states, $|\psi_1 >
$ or $|\psi_2 >$. If these states are not orthogonal, then in conventional
quantum mechanics it is impossible with one measurement to determine with
certainty which state the system is in. However, because a non-Hermitian
PT-symmetric Hamiltonian determines the inner product that is appropriate for
the Hilbert space of physical states, it is always possible to choose this
inner product so that the two states $|\psi_1 > $ and $|\psi_2 > $ are
orthogonal. Thus, quantum state discrimination can, in principle, be achieved
with a single measurement.
|
[
{
"created": "Mon, 8 Nov 2010 18:55:13 GMT",
"version": "v1"
}
] |
2018-11-28
|
[
[
"Bender",
"Carl M.",
""
],
[
"Brody",
"Dorje C.",
""
],
[
"Caldeira",
"Joao",
""
],
[
"Meister",
"Bernard K.",
""
]
] |
Suppose that a system is known to be in one of two quantum states, $|\psi_1 > $ or $|\psi_2 >$. If these states are not orthogonal, then in conventional quantum mechanics it is impossible with one measurement to determine with certainty which state the system is in. However, because a non-Hermitian PT-symmetric Hamiltonian determines the inner product that is appropriate for the Hilbert space of physical states, it is always possible to choose this inner product so that the two states $|\psi_1 > $ and $|\psi_2 > $ are orthogonal. Thus, quantum state discrimination can, in principle, be achieved with a single measurement.
|
hep-th/0306133
|
Moshe Moshe
|
Moshe Moshe, Jean Zinn-Justin
|
Quantum Field Theory in the Large N Limit: a review
|
Review paper: 200 pages, 13 figures
|
Phys.Rept.385:69-228,2003
|
10.1016/S0370-1573(03)00263-1
| null |
hep-th
| null |
We review the solutions of O(N) and U(N) quantum field theories in the large
$N$ limit and as 1/N expansions, in the case of vector representations. Since
invariant composite fields have small fluctuations for large $N$, the method
relies on constructing effective field theories for composite fields after
integration over the original degrees of freedom. We first solve a general
scalar $U(\phib^2)$ field theory for $N$ large and discuss various
non-perturbative physical issues such as critical behaviour. We show how large
$N$ results can also be obtained from variational calculations.We illustrate
these ideas by showing that the large $N$ expansion allows to relate the
$(\phib^2)^2$ theory and the non-linear $\sigma$-model, models which are
renormalizable in different dimensions. Similarly, a relation between $CP(N-1)$
and abelian Higgs models is exhibited. Large $N$ techniques also allow solving
self-interacting fermion models. A relation between the Gross--Neveu, a theory
with a four-fermi self-interaction, and a Yukawa-type theory renormalizable in
four dimensions then follows. We discuss dissipative dynamics, which is
relevant to the approach to equilibrium, and which in some formulation exhibits
quantum mechanics supersymmetry. This also serves as an introduction to the
study of the 3D supersymmetric quantum field theory. Large $N$ methods are
useful in problems that involve a crossover between different dimensions. We
thus briefly discuss finite size effects, finite temperature scalar and
supersymmetric field theories. We also use large $N$ methods to investigate the
weakly interacting Bose gas. The solution of the general scalar $U(\phib^2)$
field theory is then applied to other issues like tricritical behaviour and
double scaling limit.
|
[
{
"created": "Fri, 13 Jun 2003 22:21:09 GMT",
"version": "v1"
}
] |
2010-12-03
|
[
[
"Moshe",
"Moshe",
""
],
[
"Zinn-Justin",
"Jean",
""
]
] |
We review the solutions of O(N) and U(N) quantum field theories in the large $N$ limit and as 1/N expansions, in the case of vector representations. Since invariant composite fields have small fluctuations for large $N$, the method relies on constructing effective field theories for composite fields after integration over the original degrees of freedom. We first solve a general scalar $U(\phib^2)$ field theory for $N$ large and discuss various non-perturbative physical issues such as critical behaviour. We show how large $N$ results can also be obtained from variational calculations.We illustrate these ideas by showing that the large $N$ expansion allows to relate the $(\phib^2)^2$ theory and the non-linear $\sigma$-model, models which are renormalizable in different dimensions. Similarly, a relation between $CP(N-1)$ and abelian Higgs models is exhibited. Large $N$ techniques also allow solving self-interacting fermion models. A relation between the Gross--Neveu, a theory with a four-fermi self-interaction, and a Yukawa-type theory renormalizable in four dimensions then follows. We discuss dissipative dynamics, which is relevant to the approach to equilibrium, and which in some formulation exhibits quantum mechanics supersymmetry. This also serves as an introduction to the study of the 3D supersymmetric quantum field theory. Large $N$ methods are useful in problems that involve a crossover between different dimensions. We thus briefly discuss finite size effects, finite temperature scalar and supersymmetric field theories. We also use large $N$ methods to investigate the weakly interacting Bose gas. The solution of the general scalar $U(\phib^2)$ field theory is then applied to other issues like tricritical behaviour and double scaling limit.
|
hep-th/9702023
|
Frans Klinkhamer
|
F. R. Klinkhamer and C. Rupp
|
A global anomaly from the Z-string
|
In Section 6 error corrected for SU(2) theories with general isospin;
conclusions changed significantly
|
Nucl.Phys. B495 (1997) 172-194
|
10.1016/S0550-3213(97)00206-X
|
KA-TP-01-1997
|
hep-th hep-ph
| null |
The response of isodoublet fermions to classical backgrounds of essentially
2-dimensional boson fields in SU(2) Yang-Mills-Higgs theory is investigated. In
particular, the spectral flow of Dirac eigenvalues is calculated for a
non-contractible sphere of configurations passing through the vacuum and the
Z-string (the embedded vortex solution). Also, a non-vanishing Berry phase is
established for adiabatic transport "around" the Z-string. These results imply
the existence of a new type of global (non-perturbative) gauge anomaly in SU(2)
Yang-Mills-Higgs quantum field theory with a single doublet of left-handed
fermions. Possible extensions to other chiral gauge field theories are also
discussed.
|
[
{
"created": "Mon, 3 Feb 1997 18:01:16 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Feb 1997 13:15:04 GMT",
"version": "v2"
},
{
"created": "Sat, 8 Feb 1997 14:08:39 GMT",
"version": "v3"
},
{
"created": "Fri, 21 Feb 1997 11:25:11 GMT",
"version": "v4"
},
{
"created": "Sat, 22 Mar 1997 13:33:08 GMT",
"version": "v5"
},
{
"created": "Tue, 8 Apr 1997 13:09:55 GMT",
"version": "v6"
},
{
"created": "Wed, 16 Apr 1997 12:23:39 GMT",
"version": "v7"
}
] |
2009-10-30
|
[
[
"Klinkhamer",
"F. R.",
""
],
[
"Rupp",
"C.",
""
]
] |
The response of isodoublet fermions to classical backgrounds of essentially 2-dimensional boson fields in SU(2) Yang-Mills-Higgs theory is investigated. In particular, the spectral flow of Dirac eigenvalues is calculated for a non-contractible sphere of configurations passing through the vacuum and the Z-string (the embedded vortex solution). Also, a non-vanishing Berry phase is established for adiabatic transport "around" the Z-string. These results imply the existence of a new type of global (non-perturbative) gauge anomaly in SU(2) Yang-Mills-Higgs quantum field theory with a single doublet of left-handed fermions. Possible extensions to other chiral gauge field theories are also discussed.
|
hep-th/0702061
|
Francesco Benini
|
Francesco Benini
|
Fixing moduli in exact Type IIA flux vacua
|
6 pages, Latex, uses w-art-mod class (included). To appear in the
proceedings of the RTN workshop "Forces of the Universe", Naples, October
9-13, 2006
|
Fortsch.Phys.55:655-660,2007
|
10.1002/prop.200610341
|
09/2007/EP
|
hep-th
| null |
Type IIA flux compactifications with O6-planes have been argued from a four
dimensional effective theory point of view to admit stable, moduli free
solutions. We discuss in detail the ten dimensional description of such vacua
and present exact supersymmetric solutions in the case when the O6-charge is
smoothly distributed: the geometry is Calabi-Yau and the dilaton is constant.
In the localized case, the solution is a half-flat, non-Calabi-Yau metric but
still with constant dilaton. Finally, using the ten dimensional description we
show how all moduli are stabilized and reproduce precisely the results of de
Wolfe et al. Based on arXiv:hep-th/0607223.
|
[
{
"created": "Thu, 8 Feb 2007 14:02:55 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Benini",
"Francesco",
""
]
] |
Type IIA flux compactifications with O6-planes have been argued from a four dimensional effective theory point of view to admit stable, moduli free solutions. We discuss in detail the ten dimensional description of such vacua and present exact supersymmetric solutions in the case when the O6-charge is smoothly distributed: the geometry is Calabi-Yau and the dilaton is constant. In the localized case, the solution is a half-flat, non-Calabi-Yau metric but still with constant dilaton. Finally, using the ten dimensional description we show how all moduli are stabilized and reproduce precisely the results of de Wolfe et al. Based on arXiv:hep-th/0607223.
|
hep-th/0307072
|
Dimitrios Tsimpis
|
P.S. Howe, S.F. Kerstan, U. Lindstrom and D. Tsimpis
|
The deformed M2-brane
|
38 pages, 3 figures
|
JHEP 0309 (2003) 013
|
10.1088/1126-6708/2003/09/013
| null |
hep-th
| null |
The superembedding formalism is used to study correction terms to the
dynamics of the M2 brane in a flat background. This is done by deforming the
standard embedding constraint. It is shown rigorously that the first such
correction occurs at dimension four. Cohomological techniques are used to
determine this correction explicitly. The action is derived to quadratic order
in fermions, and the modified $\k$-symmetry transformations are given.
|
[
{
"created": "Tue, 8 Jul 2003 10:20:56 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Howe",
"P. S.",
""
],
[
"Kerstan",
"S. F.",
""
],
[
"Lindstrom",
"U.",
""
],
[
"Tsimpis",
"D.",
""
]
] |
The superembedding formalism is used to study correction terms to the dynamics of the M2 brane in a flat background. This is done by deforming the standard embedding constraint. It is shown rigorously that the first such correction occurs at dimension four. Cohomological techniques are used to determine this correction explicitly. The action is derived to quadratic order in fermions, and the modified $\k$-symmetry transformations are given.
|
hep-th/9412006
| null |
L.Bonora, C.P.Constantinidis, C.S.Xiong
|
Exact Correlators of Two-Matrix Models
|
31 pages, Latex, revised version with an entirely new section
|
J.Geom.Phys. 20 (1996) 160-194
|
10.1016/0393-0440(95)00052-6
|
SISSA 189/94/EP, UTHEP-695
|
hep-th
| null |
We compute exact solutions of two--matrix models, i.e. detailed genus by
genus expressions for the correlation functions of these theories, calculated
without any approximation. We distinguish between two types of models, the
unconstrained and the constrained ones. Unconstrained two--matrix models
represent perturbations of $c=1$ string theory, while the constrained ones
correspond to topological field theories coupled to topological gravity. Among
the latter we treat in particular detail the ones based on the KdV and on the
Boussinesq hierarchies.
|
[
{
"created": "Thu, 1 Dec 1994 13:57:26 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Dec 1994 10:04:06 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Aug 1995 10:09:56 GMT",
"version": "v3"
}
] |
2009-10-28
|
[
[
"Bonora",
"L.",
""
],
[
"Constantinidis",
"C. P.",
""
],
[
"Xiong",
"C. S.",
""
]
] |
We compute exact solutions of two--matrix models, i.e. detailed genus by genus expressions for the correlation functions of these theories, calculated without any approximation. We distinguish between two types of models, the unconstrained and the constrained ones. Unconstrained two--matrix models represent perturbations of $c=1$ string theory, while the constrained ones correspond to topological field theories coupled to topological gravity. Among the latter we treat in particular detail the ones based on the KdV and on the Boussinesq hierarchies.
|
1010.1640
|
Harunobu Imazato
|
Harunobu Imazato, Shun'ya Mizoguchi and Masaya Yata
|
Note on Anomaly Cancellation on SO(32) heterotic 5-brane
|
6 pages, one reference added
|
Mod.Phys.Lett.A26:1453-1457,2011
|
10.1142/S021773231103581X
|
KEK-TH-1414
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the gauge, gravitational (tangent-bundle) and their mixed
anomalies arising from the localized modes near a 5-brane in the SO(32)
heterotic string theory cancel with the anomaly inflow from the bulk with the
use of the Green-Schwarz mechanism on the brane, similarly to the E_8 x E_8
5-brane case. We also compare our result with Mourad's analysis performed in
the small-instanton limit.
|
[
{
"created": "Fri, 8 Oct 2010 09:52:50 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Oct 2010 11:24:35 GMT",
"version": "v2"
}
] |
2011-07-11
|
[
[
"Imazato",
"Harunobu",
""
],
[
"Mizoguchi",
"Shun'ya",
""
],
[
"Yata",
"Masaya",
""
]
] |
We show that the gauge, gravitational (tangent-bundle) and their mixed anomalies arising from the localized modes near a 5-brane in the SO(32) heterotic string theory cancel with the anomaly inflow from the bulk with the use of the Green-Schwarz mechanism on the brane, similarly to the E_8 x E_8 5-brane case. We also compare our result with Mourad's analysis performed in the small-instanton limit.
|
gr-qc/0412067
|
Peter Breitenlohner
|
Peter Breitenlohner (1), Peter Forgacs (2), Dieter Maison (1) ((1)
Max-Planck-Institut fuer Physik, Munich, Germany, (2) Laboratoire de
Mathemathiques et Physique Theorique, CNRS UMR6083, Tours, France)
|
Classification of Static, Spherically Symmetric Solutions of the
Einstein-Yang-Mills Theory with Positive Cosmological Constant
|
49 pages, 19 figures, submitted to Commun. Math. Phys
|
Commun.Math.Phys. 261 (2006) 569-611
|
10.1007/s00220-005-1427-1
|
MPP-2004-169
|
gr-qc
| null |
We give a complete classification of all static, spherically symmetric
solutions of the SU(2) Einstein-Yang-Mills theory with a positive cosmological
constant. Our classification proceeds in two steps. We first extend solutions
of the radial field equations to their maximal interval of existence. In a
second step we determine the Carter-Penrose diagrams of all 4-dimensional
space-times constructible from such radial pieces. Based on numerical studies
we sketch a complete phase space picture of all solutions with a regular
origin.
|
[
{
"created": "Wed, 15 Dec 2004 12:20:00 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Dec 2004 15:03:33 GMT",
"version": "v2"
}
] |
2015-06-25
|
[
[
"Breitenlohner",
"Peter",
""
],
[
"Forgacs",
"Peter",
""
],
[
"Maison",
"Dieter",
""
]
] |
We give a complete classification of all static, spherically symmetric solutions of the SU(2) Einstein-Yang-Mills theory with a positive cosmological constant. Our classification proceeds in two steps. We first extend solutions of the radial field equations to their maximal interval of existence. In a second step we determine the Carter-Penrose diagrams of all 4-dimensional space-times constructible from such radial pieces. Based on numerical studies we sketch a complete phase space picture of all solutions with a regular origin.
|
1509.04534
|
Betti Hartmann
|
Yves Brihaye (Universit\'e de Mons, Belgium) and Betti Hartmann
(IFSC/USP, Brazil)
|
Minimal boson stars in 5 dimensions: classical instability and existence
of ergoregions
|
18 pages including 9 figures: v2: minor, but important typos
corrected, v3: references added, statements clarified, matched version
accepted for publication in Class. Quant. Grav
| null |
10.1088/0264-9381/33/6/065002
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that minimal boson stars, i.e. boson stars made out of scalar fields
without self-interaction, are always classically unstable in 5 space-time
dimensions. This is true for the non-rotating as well as rotating case with two
equal angular momenta and in both Einstein and Gauss-Bonnet gravity,
respectively, and contrasts with the 4-dimensional case, where classically
stable minimal boson stars exist. We also discuss the appearance of ergoregions
for rotating boson stars with two equal angular momenta. While rotating black
holes typically possess an ergoregion, rotating compact objects without
horizons such as boson stars have ergoregions only in a limited range of the
parameter space. In this paper, we show for which values of the parameters
these ergoregions appear and compare this with the case of standard Einstein
gravity. We also point out that the interplay between Gauss-Bonnet gravity and
rotation puts constraints on the behaviour of the space-time close to the
rotation axis.
|
[
{
"created": "Tue, 15 Sep 2015 13:14:30 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Sep 2015 20:24:16 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Jan 2016 14:27:53 GMT",
"version": "v3"
}
] |
2016-03-23
|
[
[
"Brihaye",
"Yves",
"",
"Université de Mons, Belgium"
],
[
"Hartmann",
"Betti",
"",
"IFSC/USP, Brazil"
]
] |
We show that minimal boson stars, i.e. boson stars made out of scalar fields without self-interaction, are always classically unstable in 5 space-time dimensions. This is true for the non-rotating as well as rotating case with two equal angular momenta and in both Einstein and Gauss-Bonnet gravity, respectively, and contrasts with the 4-dimensional case, where classically stable minimal boson stars exist. We also discuss the appearance of ergoregions for rotating boson stars with two equal angular momenta. While rotating black holes typically possess an ergoregion, rotating compact objects without horizons such as boson stars have ergoregions only in a limited range of the parameter space. In this paper, we show for which values of the parameters these ergoregions appear and compare this with the case of standard Einstein gravity. We also point out that the interplay between Gauss-Bonnet gravity and rotation puts constraints on the behaviour of the space-time close to the rotation axis.
|
0709.2784
|
Jan Ambjorn
|
J. Ambjorn, R. Loll, W. Westra and S. Zohren
|
Putting a cap on causality violations in CDT
|
17 pages, 4 figures
|
JHEP0712:017,2007
|
10.1088/1126-6708/2007/12/017
| null |
gr-qc hep-th
| null |
The formalism of causal dynamical triangulations (CDT) provides us with a
non-perturbatively defined model of quantum gravity, where the sum over
histories includes only causal space-time histories. Path integrals of CDT and
their continuum limits have been studied in two, three and four dimensions.
Here we investigate a generalization of the two-dimensional CDT model, where
the causality constraint is partially lifted by introducing weighted branching
points, and demonstrate that the system can be solved analytically in the
genus-zero sector.
|
[
{
"created": "Tue, 18 Sep 2007 10:22:18 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Ambjorn",
"J.",
""
],
[
"Loll",
"R.",
""
],
[
"Westra",
"W.",
""
],
[
"Zohren",
"S.",
""
]
] |
The formalism of causal dynamical triangulations (CDT) provides us with a non-perturbatively defined model of quantum gravity, where the sum over histories includes only causal space-time histories. Path integrals of CDT and their continuum limits have been studied in two, three and four dimensions. Here we investigate a generalization of the two-dimensional CDT model, where the causality constraint is partially lifted by introducing weighted branching points, and demonstrate that the system can be solved analytically in the genus-zero sector.
|
1807.06361
|
Aranya Bhattacharya
|
Aranya Bhattacharya, Shibaji Roy
|
Holographic Entanglement Entropy, Subregion Complexity and Fisher
Information metric of `black' Non-SUSY D3 Brane
|
15 pages, 0 figures, Final modified version. Accepted for publication
in Physics Letters B
|
Phys.Lett. B 799 (2019) 135032
|
10.1016/j.physletb.2019.135032
|
PLB_135032
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The BPS D3 brane has a non-supersymmetric cousin, called the non-susy D3
brane, which is also a solution of type IIB string theory. The corresponding
counterpart of black D3 brane is the `black' non-susy D3 brane and like the BPS
D3 brane, it also has a decoupling limit, where the decoupled geometry (in the
case we are interested, this is asymptotically AdS$_5$ $\times$ S$^5$) is the
holographic dual of a non-conformal, non-supersymmetric QFT in
$(3+1)$-dimensions. In this QFT we compute the entanglement entropy (EE), the
complexity and the Fisher information metric holographically using the above
mentioned geometry for spherical subsystems. The fidelity and the Fisher
information metric have been calculated from the regularized extremal volume of
the codimension one time slice of the bulk geometry using two different
proposals in the literature. Although for AdS black hole both the proposals
give identical results, the results differ for the non-supersymmetric
background.
|
[
{
"created": "Tue, 17 Jul 2018 11:48:10 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jul 2018 10:31:03 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Jul 2019 08:37:56 GMT",
"version": "v3"
},
{
"created": "Mon, 21 Oct 2019 10:19:33 GMT",
"version": "v4"
}
] |
2019-10-29
|
[
[
"Bhattacharya",
"Aranya",
""
],
[
"Roy",
"Shibaji",
""
]
] |
The BPS D3 brane has a non-supersymmetric cousin, called the non-susy D3 brane, which is also a solution of type IIB string theory. The corresponding counterpart of black D3 brane is the `black' non-susy D3 brane and like the BPS D3 brane, it also has a decoupling limit, where the decoupled geometry (in the case we are interested, this is asymptotically AdS$_5$ $\times$ S$^5$) is the holographic dual of a non-conformal, non-supersymmetric QFT in $(3+1)$-dimensions. In this QFT we compute the entanglement entropy (EE), the complexity and the Fisher information metric holographically using the above mentioned geometry for spherical subsystems. The fidelity and the Fisher information metric have been calculated from the regularized extremal volume of the codimension one time slice of the bulk geometry using two different proposals in the literature. Although for AdS black hole both the proposals give identical results, the results differ for the non-supersymmetric background.
|
hep-th/0112259
|
Huan-Xiong Yang
|
Huan-Xiong Yang
|
Standard-like Model from D=4 Type IIB Orbifolds
| null | null | null | null |
hep-th
| null |
Based on the twisted R-R tadpole cancellation conditions at the singularities
of D=4 Type IIB orbifold $T^6/ Z_3$, we propose a new bottom-up approach to
embed standard model with three generations into string theory.
|
[
{
"created": "Mon, 31 Dec 2001 03:09:48 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Yang",
"Huan-Xiong",
""
]
] |
Based on the twisted R-R tadpole cancellation conditions at the singularities of D=4 Type IIB orbifold $T^6/ Z_3$, we propose a new bottom-up approach to embed standard model with three generations into string theory.
|
hep-th/0205032
|
Filipe Freire
|
Filipe Freire
|
SU(2) Abelian projected action for renormalisation group flows
|
Talk presented at the NATO Advanced Research Workshop "Confinement,
Topology, and other Non-Perturbative Aspects of QCD", Jan. 21-27, 2002, Stara
Lesna, Slovakia. 8 pages, uses crckapb.sty
| null | null |
DIAS-STP-02-03
|
hep-th hep-lat hep-ph
| null |
The dual Meissner effect scenario of confinement is analysed using exact
renormalisation group (ERG) equations. In particular, the low energy regime of
SU(2) Yang-Mills is studied in a maximal Abelian gauge. It is shown that under
general conditions the effective action derived when integrated using ERG
methods contains the relevant degrees of freedom for confinement. In addition,
the physics in the confining regime is dual to that of the broken phase of an
Abelian Higgs model.
|
[
{
"created": "Fri, 3 May 2002 18:27:17 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Freire",
"Filipe",
""
]
] |
The dual Meissner effect scenario of confinement is analysed using exact renormalisation group (ERG) equations. In particular, the low energy regime of SU(2) Yang-Mills is studied in a maximal Abelian gauge. It is shown that under general conditions the effective action derived when integrated using ERG methods contains the relevant degrees of freedom for confinement. In addition, the physics in the confining regime is dual to that of the broken phase of an Abelian Higgs model.
|
0709.3059
|
D. S. Berman
|
David S. Berman and Laura C. Tadrowski
|
M-Theory Brane Deformations
|
42 pages, latex, v2: references added
|
Nucl.Phys.B795:201-229,2008
|
10.1016/j.nuclphysb.2007.11.016
|
QMUL-PH-2007-16
|
hep-th
| null |
Using the techniques developed by Lunin and Maldacena we calaculate the
supergravity solutions of membranes and fivebranes in the presence of a
background C field. All the distinct possible C-field configurations are
explored. Decoupling limits for these branes are then described that preserve
the deformation leading to families of M-theory brane deformation duals. The
decoupled geometry is then explored using probe brane techniques and brane
thermodynamics.
|
[
{
"created": "Wed, 19 Sep 2007 16:15:22 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Sep 2007 08:35:29 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Berman",
"David S.",
""
],
[
"Tadrowski",
"Laura C.",
""
]
] |
Using the techniques developed by Lunin and Maldacena we calaculate the supergravity solutions of membranes and fivebranes in the presence of a background C field. All the distinct possible C-field configurations are explored. Decoupling limits for these branes are then described that preserve the deformation leading to families of M-theory brane deformation duals. The decoupled geometry is then explored using probe brane techniques and brane thermodynamics.
|
hep-th/9911143
|
Solange Odile Saliu
|
C. Bizdadea, S. O. Saliu
|
A Note on "Irreducible" p-Form Gauge Theories with Stueckelberg Coupling
|
10 pag, latex 2.09, no figures
|
Europhys.Lett. 41 (1998) 129-134
|
10.1209/epl/i1998-00120-y
| null |
hep-th
| null |
p-form gauge theories with Stueckelberg coupling are quantized in an
irreducible antifield-BRST way. As a consequence, neither the ghosts of ghosts
nor their antifields appear. Some irreducible gauge conditions are inferred
naturally within our formalism. In the end we briefly discuss the interacting
case.
|
[
{
"created": "Thu, 18 Nov 1999 10:44:01 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Bizdadea",
"C.",
""
],
[
"Saliu",
"S. O.",
""
]
] |
p-form gauge theories with Stueckelberg coupling are quantized in an irreducible antifield-BRST way. As a consequence, neither the ghosts of ghosts nor their antifields appear. Some irreducible gauge conditions are inferred naturally within our formalism. In the end we briefly discuss the interacting case.
|
hep-th/9302119
|
Weimin Zhang
|
Wei-Min Zhang and Avaroth Harindranath
|
Light-Front QCD: Role of Longitudinal Boundary Integrals
|
29, OSU-NT-#93-0122
|
Phys.Rev. D48 (1993) 4868-4880
|
10.1103/PhysRevD.48.4868
| null |
hep-th
| null |
In the canonical light-front QCD, the elimination of unphysical gauge degrees
of freedom leads to a set of boundary integrals which are associated with the
light-front infrared singularity. We find that a consistent treatment of the
boundary integrals leads to the cancellation of the light-front linear infrared
divergences. For physical states, the requirement of finite energy density in
the light-front gauge $(A_a^+=0)$ results in equations which determine the
asymptotic behavior of the transverse (physical) gauge degrees of freedom at
longitudinal infinity. These asymptotic fields are generated by the boundary
integrals and they are responsible for the topological winding number. They
also involve non-local behavior in the transverse direction that leads to
non-local forces.
|
[
{
"created": "Wed, 24 Feb 1993 20:36:00 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Apr 1993 19:21:00 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Zhang",
"Wei-Min",
""
],
[
"Harindranath",
"Avaroth",
""
]
] |
In the canonical light-front QCD, the elimination of unphysical gauge degrees of freedom leads to a set of boundary integrals which are associated with the light-front infrared singularity. We find that a consistent treatment of the boundary integrals leads to the cancellation of the light-front linear infrared divergences. For physical states, the requirement of finite energy density in the light-front gauge $(A_a^+=0)$ results in equations which determine the asymptotic behavior of the transverse (physical) gauge degrees of freedom at longitudinal infinity. These asymptotic fields are generated by the boundary integrals and they are responsible for the topological winding number. They also involve non-local behavior in the transverse direction that leads to non-local forces.
|
2203.13011
|
Gabriele Travaglini
|
Gabriele Travaglini, Andreas Brandhuber, Patrick Dorey, Tristan
McLoughlin, Samuel Abreu, Zvi Bern, N. Emil J. Bjerrum-Bohr, Johannes
Bl\"umlein, Ruth Britto, John Joseph M. Carrasco, Dmitry Chicherin, Marco
Chiodaroli, Poul H. Damgaard, Vittorio Del Duca, Lance J. Dixon, Daniele
Dorigoni, Claude Duhr, Yvonne Geyer, Michael B. Green, Enrico Herrmann, Paul
Heslop, Henrik Johansson, Gregory P. Korchemsky, David A. Kosower, Lionel
Mason, Ricardo Monteiro, Donal O'Connell, Georgios Papathanasiou, Ludovic
Plante, Jan Plefka, Andrea Puhm, Ana-Maria Raclariu, Radu Roiban, Carsten
Schneider, Jaroslav Trnka, Pierre Vanhove, Congkao Wen, Chris D. White
|
The SAGEX Review on Scattering Amplitudes
|
15 pages, overview article. v3: journal version
| null |
10.1088/1751-8121/ac8380
|
SAGEX-22-01
|
hep-th gr-qc hep-ex hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This is an introduction to, and invitation to read, a series of review
articles on scattering amplitudes in gauge theory, gravity, and superstring
theory. Our aim is to provide an overview of the field, from basic aspects to a
selection of current (2022) research and developments.
|
[
{
"created": "Thu, 24 Mar 2022 12:00:15 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Mar 2022 07:29:26 GMT",
"version": "v2"
},
{
"created": "Sun, 8 Jan 2023 17:54:23 GMT",
"version": "v3"
}
] |
2023-01-10
|
[
[
"Travaglini",
"Gabriele",
""
],
[
"Brandhuber",
"Andreas",
""
],
[
"Dorey",
"Patrick",
""
],
[
"McLoughlin",
"Tristan",
""
],
[
"Abreu",
"Samuel",
""
],
[
"Bern",
"Zvi",
""
],
[
"Bjerrum-Bohr",
"N. Emil J.",
""
],
[
"Blümlein",
"Johannes",
""
],
[
"Britto",
"Ruth",
""
],
[
"Carrasco",
"John Joseph M.",
""
],
[
"Chicherin",
"Dmitry",
""
],
[
"Chiodaroli",
"Marco",
""
],
[
"Damgaard",
"Poul H.",
""
],
[
"Del Duca",
"Vittorio",
""
],
[
"Dixon",
"Lance J.",
""
],
[
"Dorigoni",
"Daniele",
""
],
[
"Duhr",
"Claude",
""
],
[
"Geyer",
"Yvonne",
""
],
[
"Green",
"Michael B.",
""
],
[
"Herrmann",
"Enrico",
""
],
[
"Heslop",
"Paul",
""
],
[
"Johansson",
"Henrik",
""
],
[
"Korchemsky",
"Gregory P.",
""
],
[
"Kosower",
"David A.",
""
],
[
"Mason",
"Lionel",
""
],
[
"Monteiro",
"Ricardo",
""
],
[
"O'Connell",
"Donal",
""
],
[
"Papathanasiou",
"Georgios",
""
],
[
"Plante",
"Ludovic",
""
],
[
"Plefka",
"Jan",
""
],
[
"Puhm",
"Andrea",
""
],
[
"Raclariu",
"Ana-Maria",
""
],
[
"Roiban",
"Radu",
""
],
[
"Schneider",
"Carsten",
""
],
[
"Trnka",
"Jaroslav",
""
],
[
"Vanhove",
"Pierre",
""
],
[
"Wen",
"Congkao",
""
],
[
"White",
"Chris D.",
""
]
] |
This is an introduction to, and invitation to read, a series of review articles on scattering amplitudes in gauge theory, gravity, and superstring theory. Our aim is to provide an overview of the field, from basic aspects to a selection of current (2022) research and developments.
|
hep-th/9205075
|
Warren Siegel
|
W. Siegel
|
The N=2(4) string is self-dual N=4 Yang-Mills
|
7 pg., ITP-SB-92-24 (uuencoded dvi file; otherwise same as original)
| null |
10.1103/PhysRevD.46.R3235
| null |
hep-th
| null |
N=2 string amplitudes, when required to have the Lorentz covariance of the
equivalent N=4 string, describe a self-dual form of N=4 super Yang-Mills in 2+2
dimensions. Spin-independent couplings and the ghost nature of SO(2,2)
spacetime make it a topological-like theory with vanishing loop corrections.
|
[
{
"created": "Wed, 20 May 1992 16:52:58 GMT",
"version": "v1"
},
{
"created": "Thu, 28 May 1992 17:01:10 GMT",
"version": "v2"
}
] |
2015-06-26
|
[
[
"Siegel",
"W.",
""
]
] |
N=2 string amplitudes, when required to have the Lorentz covariance of the equivalent N=4 string, describe a self-dual form of N=4 super Yang-Mills in 2+2 dimensions. Spin-independent couplings and the ghost nature of SO(2,2) spacetime make it a topological-like theory with vanishing loop corrections.
|
hep-th/0307088
|
Harvendra Singh
|
Harvendra Singh
|
Generalised Penrose Limits and PP-Waves
|
13 pages; v2: references added, v3: minor corrections and
modifications
|
Phys.Lett.B583:315-323,2004
|
10.1016/j.physletb.2004.01.025
| null |
hep-th
| null |
In this paper we construct generalised Penrose limits for the solutions of
massive type IIA supergravity. We consider a Freund-Rubin type solution and
apply these {\it massive} Penrose limits and obtain supersymmetric pp-wave
which is a standard type IIA background. We point out that results in this
paper are easily generalised for the cases of gauged supergravities.
|
[
{
"created": "Wed, 9 Jul 2003 10:47:05 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Jul 2003 08:53:37 GMT",
"version": "v2"
},
{
"created": "Sat, 31 Jan 2004 08:51:26 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Singh",
"Harvendra",
""
]
] |
In this paper we construct generalised Penrose limits for the solutions of massive type IIA supergravity. We consider a Freund-Rubin type solution and apply these {\it massive} Penrose limits and obtain supersymmetric pp-wave which is a standard type IIA background. We point out that results in this paper are easily generalised for the cases of gauged supergravities.
|
0807.1832
|
Tekin Dereli
|
M. Adak, T. Dereli
|
String-Inspired Chern-Simons Modified Gravity In 4-Dimensions
|
To appear in the European Physics Journal C
|
Eur. Phys. J. C 72 (2012) 1979
|
10.1140/epjc/s10052-012-1979-0
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Chern-Simons modified gravity models in 4-dimensions are shown to be special
cases of low energy effective string models to first order in the string
constant.
|
[
{
"created": "Fri, 11 Jul 2008 12:10:31 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jan 2010 09:29:04 GMT",
"version": "v2"
},
{
"created": "Mon, 2 Apr 2012 05:54:18 GMT",
"version": "v3"
}
] |
2012-05-01
|
[
[
"Adak",
"M.",
""
],
[
"Dereli",
"T.",
""
]
] |
Chern-Simons modified gravity models in 4-dimensions are shown to be special cases of low energy effective string models to first order in the string constant.
|
hep-th/0103210
|
Jean Iliopoulos
|
J. Iliopoulos
|
Non-Renormalisation Theorems in Global Supersymmetry
|
13 pages LaTeX2e
|
Nucl.Phys.Proc.Suppl. 101 (2001) 99-106
|
10.1016/S0920-5632(01)01496-7
| null |
hep-th
| null |
We review the history of non-renormalisation theorems in global
supersymmetry, as well as their importance in all attempts to apply
supersymmetry to the real world.
|
[
{
"created": "Sun, 25 Mar 2001 14:49:44 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Iliopoulos",
"J.",
""
]
] |
We review the history of non-renormalisation theorems in global supersymmetry, as well as their importance in all attempts to apply supersymmetry to the real world.
|
1111.1743
|
Omar Zanusso
|
F. Saueressig, K. Groh, S. Rechenberger, O. Zanusso
|
Higher Derivative Gravity from the Universal Renormalization Group
Machine
|
7 pages, published version
|
PoS(EPS-HEP2011)124
| null |
MZ-TH/11-38
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the renormalization group flow of higher derivative gravity,
utilizing the functional renormalization group equation for the average action.
Employing a recently proposed algorithm, termed the universal renormalization
group machine, for solving the flow equation, all the universal features of the
one-loop beta-functions are recovered. While the universal part of the
beta-functions admits two fixed points, we explicitly show that the existence
of one of them depends on the choice of regularization scheme, indicating that
it is most probably unphysical.
|
[
{
"created": "Mon, 7 Nov 2011 21:06:25 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Feb 2012 16:39:31 GMT",
"version": "v2"
}
] |
2012-02-29
|
[
[
"Saueressig",
"F.",
""
],
[
"Groh",
"K.",
""
],
[
"Rechenberger",
"S.",
""
],
[
"Zanusso",
"O.",
""
]
] |
We study the renormalization group flow of higher derivative gravity, utilizing the functional renormalization group equation for the average action. Employing a recently proposed algorithm, termed the universal renormalization group machine, for solving the flow equation, all the universal features of the one-loop beta-functions are recovered. While the universal part of the beta-functions admits two fixed points, we explicitly show that the existence of one of them depends on the choice of regularization scheme, indicating that it is most probably unphysical.
|
hep-th/9907224
|
Donets E. E. t. 65806
|
E. E. Donets, A. Pashnev, J. Juan Rosales and M. M. Tsulaia
|
N=4 Supersymmetric Multidimensional Quantum Mechanics, Partial SUSY
Breaking and Superconformal Quantum Mechanics
|
minor changes; a few comments and refs added; 20 pages, REVTeX, no
figures
|
Phys.Rev. D61 (2000) 043512
|
10.1103/PhysRevD.61.043512
|
JINR--E2--99--218
|
hep-th gr-qc hep-ph
| null |
The multidimensional N=4 supersymmetric quantum mechanics (SUSY QM) is
constructed using the superfield approach. As a result, the component form of
the classical and quantum Lagrangian and Hamiltonian is obtained. In the
considered SUSY QM both classical and quantum N=4 algebras include central
charges, and this opens various possibilities for partial supersymmetry
breaking. It is shown that quantum mechanical models with one quarter, one half
and three quarters of unbroken(broken) supersymmetries can exist in the
framework of the multidimensional N=4 SUSY QM, while the one-dimensional N=4
SUSY QM, constructed earlier, admits only one half or total supersymmetry
breakdown. We illustrate the constructed general formalism, as well as all
possible cases of the partial SUSY breaking taking as an example a direct
multidimensional generalization of the one-dimensional N=4 superconformal
quantum mechanical model. Some open questions and possible applications of the
constructed multidimensional N=4 SUSY QM to the known exactly integrable
systems and problems of quantum cosmology are briefly discussed.
|
[
{
"created": "Fri, 30 Jul 1999 14:28:38 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Sep 1999 12:29:26 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Donets",
"E. E.",
""
],
[
"Pashnev",
"A.",
""
],
[
"Rosales",
"J. Juan",
""
],
[
"Tsulaia",
"M. M.",
""
]
] |
The multidimensional N=4 supersymmetric quantum mechanics (SUSY QM) is constructed using the superfield approach. As a result, the component form of the classical and quantum Lagrangian and Hamiltonian is obtained. In the considered SUSY QM both classical and quantum N=4 algebras include central charges, and this opens various possibilities for partial supersymmetry breaking. It is shown that quantum mechanical models with one quarter, one half and three quarters of unbroken(broken) supersymmetries can exist in the framework of the multidimensional N=4 SUSY QM, while the one-dimensional N=4 SUSY QM, constructed earlier, admits only one half or total supersymmetry breakdown. We illustrate the constructed general formalism, as well as all possible cases of the partial SUSY breaking taking as an example a direct multidimensional generalization of the one-dimensional N=4 superconformal quantum mechanical model. Some open questions and possible applications of the constructed multidimensional N=4 SUSY QM to the known exactly integrable systems and problems of quantum cosmology are briefly discussed.
|
1109.4708
|
M. Hossein Dehghani
|
M. H. Dehghani, A. Bazrafshan, R. B. Mann, M. R. Mehdizadeh, M.
Ghanaatian and M. H. Vahidinia
|
Black Holes in (Quartic) Quasitopological Gravity
|
LaTex, 9 figures, 27 pages. A new section on holographic
hydrodynamics is added. Introduction and concluding remarks have been revised
|
Phys. Rev. D 85, 104009 (2012)
|
10.1103/PhysRevD.85.104009
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct quartic quasitopological gravity, a theory of gravity containing
terms quartic in the curvature that yields second order differential equations
in the spherically symmetric case. Up to a term proportional to the quartic
term in Lovelock gravity we find a unique solution for this quartic case, valid
in any dimensionality larger than 4 except 8. This case is the highest degree
of curvature coupling for which explicit black hole solutions can be
constructed, and we obtain and analyze the various black hole solutions that
emerge from the field equations in $(n+1)$ dimensions. We discuss the
thermodynamics of these black holes and compute their entropy as a function of
the horizon radius. We then make some general remarks about $K$-th order
quasitopological gravity, and point out that the basic structure of the
solutions will be the same in any dimensionality for general $K$ apart from
particular cases.
|
[
{
"created": "Thu, 22 Sep 2011 05:15:19 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Apr 2012 09:25:00 GMT",
"version": "v2"
}
] |
2015-05-30
|
[
[
"Dehghani",
"M. H.",
""
],
[
"Bazrafshan",
"A.",
""
],
[
"Mann",
"R. B.",
""
],
[
"Mehdizadeh",
"M. R.",
""
],
[
"Ghanaatian",
"M.",
""
],
[
"Vahidinia",
"M. H.",
""
]
] |
We construct quartic quasitopological gravity, a theory of gravity containing terms quartic in the curvature that yields second order differential equations in the spherically symmetric case. Up to a term proportional to the quartic term in Lovelock gravity we find a unique solution for this quartic case, valid in any dimensionality larger than 4 except 8. This case is the highest degree of curvature coupling for which explicit black hole solutions can be constructed, and we obtain and analyze the various black hole solutions that emerge from the field equations in $(n+1)$ dimensions. We discuss the thermodynamics of these black holes and compute their entropy as a function of the horizon radius. We then make some general remarks about $K$-th order quasitopological gravity, and point out that the basic structure of the solutions will be the same in any dimensionality for general $K$ apart from particular cases.
|
1803.11238
|
David Pirtskhalava
|
Gregory Gabadadze and David Pirtskhalava
|
Boundary Terms for Massive General Relativity
|
25 pages, 1 figure; version published in PRD
|
Phys. Rev. D 97, 124045 (2018)
|
10.1103/PhysRevD.97.124045
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is well-known that the presence of a spacetime boundary requires the
conventional Einstein-Hilbert (EH) action to be supplemented by the
Gibbons-Hawking (GH) boundary term in order to retain the standard variational
procedure. When the EH action is amended by the diffeomorphism-invariant
graviton mass and potential terms, it naively appears that no further boundary
terms are needed since all the new fields of massive gravity enter the action
with the first derivative. However, we show that such a formulation would be
inconsistent, even when the bulk action is ghost-free. The theory is
well-defined only after introducing novel boundary counterterms, which dominate
over the GH term in the massless limit and cancel the problematic boundary
terms induced by the bulk action. The number of boundary counterterms equals
the number of total derivatives one could construct in the bulk using positive
powers of two derivatives of the longitudinal mode of the massive graviton.
|
[
{
"created": "Thu, 29 Mar 2018 20:00:11 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jul 2018 19:16:32 GMT",
"version": "v2"
}
] |
2018-07-23
|
[
[
"Gabadadze",
"Gregory",
""
],
[
"Pirtskhalava",
"David",
""
]
] |
It is well-known that the presence of a spacetime boundary requires the conventional Einstein-Hilbert (EH) action to be supplemented by the Gibbons-Hawking (GH) boundary term in order to retain the standard variational procedure. When the EH action is amended by the diffeomorphism-invariant graviton mass and potential terms, it naively appears that no further boundary terms are needed since all the new fields of massive gravity enter the action with the first derivative. However, we show that such a formulation would be inconsistent, even when the bulk action is ghost-free. The theory is well-defined only after introducing novel boundary counterterms, which dominate over the GH term in the massless limit and cancel the problematic boundary terms induced by the bulk action. The number of boundary counterterms equals the number of total derivatives one could construct in the bulk using positive powers of two derivatives of the longitudinal mode of the massive graviton.
|
2110.02240
|
Francois Larrouturou
|
Fran\c{c}ois Larrouturou, Quentin Henry, Luc Blanchet and Guillaume
Faye
|
The Quadrupole Moment of Compact Binaries to the Fourth post-Newtonian
Order: I. Non-Locality in Time and Infra-Red Divergencies
|
24 pages, no figures
|
Class. Quantum Grav. 39(2022)115007
|
10.1088/1361-6382/ac5762
|
DESY-22-005
|
gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
With the aim of providing high accuracy post-Newtonian (PN) templates for the
analysis of gravitational waves generated by compact binary systems, we
complete the analytical derivation of the source type mass quadrupole moment of
compact binaries (without spins) at the fourth PN order of general relativity.
Similarly to the case of the conservative 4PN equations of motion, we show that
the quadrupole moment at that order contains a non-local (in time)
contribution, arising from the tail-transported interaction entering the
conservative part of the dynamics. Furthermore, we investigate the infra-red
(IR) divergences of the quadrupole moment. In a previous work, this moment has
been computed using a Hadamard partie finie procedure for the IR divergences,
but the knowledge of the conservative equations of motion indicates that those
divergences have to be dealt with by means of dimensional regularization. This
work thus derives the difference between the two regularization schemes, which
has to be added on top of the previous result. We show that unphysical IR poles
start to appear at the 3PN order, and we determine all of these up to the 4PN
order. In particular, the non-local tail term comes in along with a specific
pole at the 4PN order. It will be proven in a companion paper that the poles in
the source-type quadrupole are cancelled in the physical radiative type
quadrupole moment measured at future null infinity.
|
[
{
"created": "Tue, 5 Oct 2021 18:00:13 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Oct 2021 14:50:45 GMT",
"version": "v2"
},
{
"created": "Mon, 20 Jun 2022 12:42:41 GMT",
"version": "v3"
}
] |
2022-06-22
|
[
[
"Larrouturou",
"François",
""
],
[
"Henry",
"Quentin",
""
],
[
"Blanchet",
"Luc",
""
],
[
"Faye",
"Guillaume",
""
]
] |
With the aim of providing high accuracy post-Newtonian (PN) templates for the analysis of gravitational waves generated by compact binary systems, we complete the analytical derivation of the source type mass quadrupole moment of compact binaries (without spins) at the fourth PN order of general relativity. Similarly to the case of the conservative 4PN equations of motion, we show that the quadrupole moment at that order contains a non-local (in time) contribution, arising from the tail-transported interaction entering the conservative part of the dynamics. Furthermore, we investigate the infra-red (IR) divergences of the quadrupole moment. In a previous work, this moment has been computed using a Hadamard partie finie procedure for the IR divergences, but the knowledge of the conservative equations of motion indicates that those divergences have to be dealt with by means of dimensional regularization. This work thus derives the difference between the two regularization schemes, which has to be added on top of the previous result. We show that unphysical IR poles start to appear at the 3PN order, and we determine all of these up to the 4PN order. In particular, the non-local tail term comes in along with a specific pole at the 4PN order. It will be proven in a companion paper that the poles in the source-type quadrupole are cancelled in the physical radiative type quadrupole moment measured at future null infinity.
|
1501.04065
|
Michele Caselle
|
M. Caselle, G. Costagliola, N. Magnoli
|
Numerical determination of OPE coefficients in the 3D Ising model from
off-critical correlators
|
4 pages, typos corrected, a few references added
|
Phys. Rev. D 91, 061901 (2015)
|
10.1103/PhysRevD.91.061901
| null |
hep-th cond-mat.stat-mech hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a general method for the numerical evaluation of OPE coefficients
in three dimensional Conformal Field Theories based on the study of the
conformal perturbation of two point functions in the vicinity of the critical
point. We test our proposal in the three dimensional Ising Model, looking at
the magnetic perturbation of the $<\sigma (\mathbf {r})\sigma(0)>$, $<\sigma
(\mathbf {r})\epsilon(0)>$ and $<\epsilon (\mathbf {r})\epsilon(0)>$
correlators from which we extract the values of
$C^{\sigma}_{\sigma\epsilon}=1.07(3)$ and
$C^{\epsilon}_{\epsilon\epsilon}=1.45(30)$. Our estimate for
$C^{\sigma}_{\sigma\epsilon}$ agrees with those recently obtained using
conformal bootstrap methods, while $C^{\epsilon}_{\epsilon\epsilon}$, as far as
we know, is new and could be used to further constrain conformal bootstrap
analyses of the 3d Ising universality class.
|
[
{
"created": "Fri, 16 Jan 2015 17:49:35 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Mar 2015 10:16:19 GMT",
"version": "v2"
}
] |
2015-03-25
|
[
[
"Caselle",
"M.",
""
],
[
"Costagliola",
"G.",
""
],
[
"Magnoli",
"N.",
""
]
] |
We propose a general method for the numerical evaluation of OPE coefficients in three dimensional Conformal Field Theories based on the study of the conformal perturbation of two point functions in the vicinity of the critical point. We test our proposal in the three dimensional Ising Model, looking at the magnetic perturbation of the $<\sigma (\mathbf {r})\sigma(0)>$, $<\sigma (\mathbf {r})\epsilon(0)>$ and $<\epsilon (\mathbf {r})\epsilon(0)>$ correlators from which we extract the values of $C^{\sigma}_{\sigma\epsilon}=1.07(3)$ and $C^{\epsilon}_{\epsilon\epsilon}=1.45(30)$. Our estimate for $C^{\sigma}_{\sigma\epsilon}$ agrees with those recently obtained using conformal bootstrap methods, while $C^{\epsilon}_{\epsilon\epsilon}$, as far as we know, is new and could be used to further constrain conformal bootstrap analyses of the 3d Ising universality class.
|
hep-th/9812061
|
Christos Kokorelis
|
Christos Epameinonda Kokorelis
|
Theoretical and Phenomenological Aspects of Superstring Theories
|
Ph. D Thesis, LaTex, 187 pages, Sussex university, approved December
1997 Complete abstract appears on the main body of the Thesis
| null | null |
CK-TH-98-002
|
hep-th cond-mat hep-ph math-ph math.AG math.MG math.MP math.SG physics.soc-ph
| null |
We discuss aspects of the heterotic string effective field theories in
orbifold constructions of the heterotic string. We calculate the moduli
dependence of threshold corrections to gauge couplings in (2,2) symmetric
orbifold compactifications. We perform the calculation of the threshold
corrections for a particular class of abelian (2,2) symmetric non-decomposable
orbifold models... internal twist is realized as generalized Coxeter
automorphism. We define the limits for the existence of states causing
singularities in the moduli space in the perturbative regime for a generic
vacuum of the heterotic string. The 'proof' provides evidence for the
explanation of the stringy 'Higgs effect'. Furthermore, we calculate the moduli
dependence of threshold corrections as target space invariant free energies for
non-decomposable orbifolds, identifying the Hauptmodul' functions for the
relevant congruence subgroups. The required solutions provide for the \mu mass
term generation in the effective low energy theory and affect the induced
sypersymmetry breaking by gaugino condensation. In addition, we discuss the one
loop gauge and gravitational couplings in (0,2) non-decomposable orbifold
compactifications. In the second part of the Thesis the one loop correction to
the Kahler metric for a generic N=2 orbifold compactification of the heterotic
string is calculated... In this way, with the use of the one loop string
amplitudes, the prepotential of the vector multiplets of the N=2 effective
low-energy heterotic string is calculated in decomposable toroidal
compactifications of the heterotic string ... This method provides the solution
for the one loop correction to the prepotential of the vector multiplets of the
heterotic string compactified on the K_3 \times T^2...
|
[
{
"created": "Mon, 7 Dec 1998 18:31:37 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Kokorelis",
"Christos Epameinonda",
""
]
] |
We discuss aspects of the heterotic string effective field theories in orbifold constructions of the heterotic string. We calculate the moduli dependence of threshold corrections to gauge couplings in (2,2) symmetric orbifold compactifications. We perform the calculation of the threshold corrections for a particular class of abelian (2,2) symmetric non-decomposable orbifold models... internal twist is realized as generalized Coxeter automorphism. We define the limits for the existence of states causing singularities in the moduli space in the perturbative regime for a generic vacuum of the heterotic string. The 'proof' provides evidence for the explanation of the stringy 'Higgs effect'. Furthermore, we calculate the moduli dependence of threshold corrections as target space invariant free energies for non-decomposable orbifolds, identifying the Hauptmodul' functions for the relevant congruence subgroups. The required solutions provide for the \mu mass term generation in the effective low energy theory and affect the induced sypersymmetry breaking by gaugino condensation. In addition, we discuss the one loop gauge and gravitational couplings in (0,2) non-decomposable orbifold compactifications. In the second part of the Thesis the one loop correction to the Kahler metric for a generic N=2 orbifold compactification of the heterotic string is calculated... In this way, with the use of the one loop string amplitudes, the prepotential of the vector multiplets of the N=2 effective low-energy heterotic string is calculated in decomposable toroidal compactifications of the heterotic string ... This method provides the solution for the one loop correction to the prepotential of the vector multiplets of the heterotic string compactified on the K_3 \times T^2...
|
1805.05344
|
Ricardo Monteiro
|
Yvonne Geyer, Ricardo Monteiro
|
Two-Loop Scattering Amplitudes from Ambitwistor Strings: from Genus Two
to the Nodal Riemann Sphere
|
66 pages plus appendices, 14 figures. v2: small changes, published
version. v3: typos fixed in appendix D
| null |
10.1007/JHEP11(2018)008
|
QMUL-PH-18-08
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive from ambitwistor strings new formulae for two-loop scattering
amplitudes in supergravity and super-Yang-Mills theory, with any number of
particles. We start by constructing a formula for the type II ambitwistor
string amplitudes on a genus-two Riemann surface, and then study the
localisation of the moduli space integration on a degenerate limit, where the
genus-two surface turns into a Riemann sphere with two nodes. This leads to
scattering amplitudes in supergravity, expressed in the formalism of the
two-loop scattering equations. For super-Yang-Mills theory, we import `half' of
the supergravity result, and determine the colour dependence by considering a
current algebra on the nodal Riemann sphere, thereby completely specifying the
two-loop analogue of the Parke-Taylor factor, including non-planar
contributions. We also present in appendices explicit expressions for the Szego
kernels and the partition functions for even spin structures, up to the
relevant orders in the degeneration parameters, which may be useful for related
investigations in conventional superstring theory.
|
[
{
"created": "Mon, 14 May 2018 18:00:02 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Nov 2018 16:59:09 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Dec 2018 18:26:10 GMT",
"version": "v3"
}
] |
2018-12-18
|
[
[
"Geyer",
"Yvonne",
""
],
[
"Monteiro",
"Ricardo",
""
]
] |
We derive from ambitwistor strings new formulae for two-loop scattering amplitudes in supergravity and super-Yang-Mills theory, with any number of particles. We start by constructing a formula for the type II ambitwistor string amplitudes on a genus-two Riemann surface, and then study the localisation of the moduli space integration on a degenerate limit, where the genus-two surface turns into a Riemann sphere with two nodes. This leads to scattering amplitudes in supergravity, expressed in the formalism of the two-loop scattering equations. For super-Yang-Mills theory, we import `half' of the supergravity result, and determine the colour dependence by considering a current algebra on the nodal Riemann sphere, thereby completely specifying the two-loop analogue of the Parke-Taylor factor, including non-planar contributions. We also present in appendices explicit expressions for the Szego kernels and the partition functions for even spin structures, up to the relevant orders in the degeneration parameters, which may be useful for related investigations in conventional superstring theory.
|
1707.03982
|
Shuichi Yokoyama
|
Sinya Aoki, Shuichi Yokoyama
|
Flow equation, conformal symmetry and AdS geometry
|
10 pages, no figures, v2: minor improvements, published version
|
PTEP 2018 (2018) no.3, 031B01
|
10.1093/ptep/pty013
|
YITP-17-72
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue that the Anti-de-Sitter (AdS) geometry in d+1 dimensions naturally
emerges from an arbitrary conformal field theory in d dimensions using the free
flow equation. We first show that an induced metric defined from the flowed
field generally corresponds to the quantum information metric, called the Bures
or Helstrom metric, if the flowed field is normalized appropriately. We next
verify that the induced metric computed explicitly with the free flow equation
always becomes the AdS metric when the theory is conformal. We finally prove
that the conformal symmetry in d dimensions converts to the AdS isometry in d+1
dimensions after d dimensional quantum averaging. This guarantees the emergence
of AdS geometry without explicit calculation.
|
[
{
"created": "Thu, 13 Jul 2017 05:16:32 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Apr 2018 09:51:57 GMT",
"version": "v2"
}
] |
2018-04-17
|
[
[
"Aoki",
"Sinya",
""
],
[
"Yokoyama",
"Shuichi",
""
]
] |
We argue that the Anti-de-Sitter (AdS) geometry in d+1 dimensions naturally emerges from an arbitrary conformal field theory in d dimensions using the free flow equation. We first show that an induced metric defined from the flowed field generally corresponds to the quantum information metric, called the Bures or Helstrom metric, if the flowed field is normalized appropriately. We next verify that the induced metric computed explicitly with the free flow equation always becomes the AdS metric when the theory is conformal. We finally prove that the conformal symmetry in d dimensions converts to the AdS isometry in d+1 dimensions after d dimensional quantum averaging. This guarantees the emergence of AdS geometry without explicit calculation.
|
hep-th/9607123
|
Mironov
|
A.Mironov
|
Group Theory Structures Underlying Integrable Systems
|
7 pages, LaTeX, no figures; Talk presented at the II Sakharov
International Conference
| null | null |
FIAN/TD-12/96, ITEP/TH-24/96
|
hep-th
| null |
Different group structures which underline the integrable systems are
considered. In some cases, the quantization of the integrable system can be
provided with substituting groups by their quantum counterparts. However, some
other group structures keep non-deformed in the course of quantizing the
integrable system although their treatment is to be changed. Manifest examples
of the KP/Toda hierarchy and the Liouville theory are considered.
|
[
{
"created": "Mon, 15 Jul 1996 23:54:46 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Mironov",
"A.",
""
]
] |
Different group structures which underline the integrable systems are considered. In some cases, the quantization of the integrable system can be provided with substituting groups by their quantum counterparts. However, some other group structures keep non-deformed in the course of quantizing the integrable system although their treatment is to be changed. Manifest examples of the KP/Toda hierarchy and the Liouville theory are considered.
|
1004.3962
|
Kazuya Koyama
|
Roy Maartens (ICG, Portsmouth), Kazuya Koyama (ICG, Portsmouth)
|
Brane-World Gravity
|
A major update of Living Reviews in Relativity 7:7 (2004)
"Brane-World Gravity", 119 pages, 28 figures, the update contains new
material on RS perturbations, including full numerical solutions of
gravitational waves and scalar perturbations, on DGP models, and also on 6D
models. A published version in Living Reviews in Relativity
|
Living Rev. Relativity 13, (2010), 5
|
10.12942/lrr-2010-5
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The observable universe could be a 1+3-surface (the "brane") embedded in a
1+3+\textit{d}-dimensional spacetime (the "bulk"), with Standard Model
particles and fields trapped on the brane while gravity is free to access the
bulk. At least one of the \textit{d} extra spatial dimensions could be very
large relative to the Planck scale, which lowers the fundamental gravity scale,
possibly even down to the electroweak ($\sim$ TeV) level. This revolutionary
picture arises in the framework of recent developments in M theory. The
1+10-dimensional M theory encompasses the known 1+9-dimensional superstring
theories, and is widely considered to be a promising potential route to quantum
gravity. At low energies, gravity is localized at the brane and general
relativity is recovered, but at high energies gravity "leaks" into the bulk,
behaving in a truly higher-dimensional way. This introduces significant changes
to gravitational dynamics and perturbations, with interesting and potentially
testable implications for high-energy astrophysics, black holes, and cosmology.
Brane-world models offer a phenomenological way to test some of the novel
predictions and corrections to general relativity that are implied by M theory.
This review analyzes the geometry, dynamics and perturbations of simple
brane-world models for cosmology and astrophysics, mainly focusing on warped
5-dimensional brane-worlds based on the Randall--Sundrum models. We also cover
the simplest brane-world models in which 4-dimensional gravity on the brane is
modified at \emph{low} energies -- the 5-dimensional Dvali--Gabadadze--Porrati
models. Then we discuss co-dimension two branes in 6-dimensional models.
|
[
{
"created": "Thu, 22 Apr 2010 17:08:31 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Sep 2010 09:55:46 GMT",
"version": "v2"
}
] |
2015-05-18
|
[
[
"Maartens",
"Roy",
"",
"ICG, Portsmouth"
],
[
"Koyama",
"Kazuya",
"",
"ICG, Portsmouth"
]
] |
The observable universe could be a 1+3-surface (the "brane") embedded in a 1+3+\textit{d}-dimensional spacetime (the "bulk"), with Standard Model particles and fields trapped on the brane while gravity is free to access the bulk. At least one of the \textit{d} extra spatial dimensions could be very large relative to the Planck scale, which lowers the fundamental gravity scale, possibly even down to the electroweak ($\sim$ TeV) level. This revolutionary picture arises in the framework of recent developments in M theory. The 1+10-dimensional M theory encompasses the known 1+9-dimensional superstring theories, and is widely considered to be a promising potential route to quantum gravity. At low energies, gravity is localized at the brane and general relativity is recovered, but at high energies gravity "leaks" into the bulk, behaving in a truly higher-dimensional way. This introduces significant changes to gravitational dynamics and perturbations, with interesting and potentially testable implications for high-energy astrophysics, black holes, and cosmology. Brane-world models offer a phenomenological way to test some of the novel predictions and corrections to general relativity that are implied by M theory. This review analyzes the geometry, dynamics and perturbations of simple brane-world models for cosmology and astrophysics, mainly focusing on warped 5-dimensional brane-worlds based on the Randall--Sundrum models. We also cover the simplest brane-world models in which 4-dimensional gravity on the brane is modified at \emph{low} energies -- the 5-dimensional Dvali--Gabadadze--Porrati models. Then we discuss co-dimension two branes in 6-dimensional models.
|
hep-th/0402229
|
Michael Wohlgenannt
|
Stefan Denk, Volkmar Putz and Michael Wohlgenannt
|
Consistent Construction of Perturbation Theory on Noncommutative Spaces
|
22 pages; major changes in Section 3; minor changes in the
Introduction and Conclusion
|
Eur.Phys.J.C45:263-272,2006
|
10.1140/epjc/s2005-02410-y
|
TUW 04-06
|
hep-th
| null |
We examine the effect of non-local deformations on the applicability of
interaction point time ordered perturbation theory (IPTOPT) based on the free
Hamiltonian of local theories. The usual argument for the case of quantum field
theory (QFT) on a noncommutative (NC) space (based on the fact that the
introduction of star products in bilinear terms does not alter the action) is
not applicable to IPTOPT due to several discrepancies compared to the naive
path integral approach when noncommutativity involves time. These discrepancies
are explained in detail. Besides scalar models, gauge fields are also studied.
For both cases, we discuss the free Hamiltonian with respect to non-local
deformations.
|
[
{
"created": "Fri, 27 Feb 2004 12:24:45 GMT",
"version": "v1"
},
{
"created": "Thu, 6 May 2004 12:11:20 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Jan 2005 17:42:17 GMT",
"version": "v3"
},
{
"created": "Fri, 25 Mar 2005 11:41:11 GMT",
"version": "v4"
}
] |
2009-01-07
|
[
[
"Denk",
"Stefan",
""
],
[
"Putz",
"Volkmar",
""
],
[
"Wohlgenannt",
"Michael",
""
]
] |
We examine the effect of non-local deformations on the applicability of interaction point time ordered perturbation theory (IPTOPT) based on the free Hamiltonian of local theories. The usual argument for the case of quantum field theory (QFT) on a noncommutative (NC) space (based on the fact that the introduction of star products in bilinear terms does not alter the action) is not applicable to IPTOPT due to several discrepancies compared to the naive path integral approach when noncommutativity involves time. These discrepancies are explained in detail. Besides scalar models, gauge fields are also studied. For both cases, we discuss the free Hamiltonian with respect to non-local deformations.
|
hep-th/9909128
|
Marco Aurelio Cattacin Kneipp
|
Marco A. C. Kneipp
|
Vertex operators, semiclassical limit for soliton S-matrices and the
number of bound states in Affine Toda Field Theories
|
13 pages, LaTeX; some references added and some typos corrected
|
Nucl.Phys.B577:390-404,2000
|
10.1016/S0550-3213(00)00104-8
|
CBPF-NF-005/99
|
hep-th math.QA nlin.SI solv-int
| null |
Soliton time-delays and the semiclassical limit for soliton S-matrices are
calculated for non-simply laced Affine Toda Field Theories. The phase shift is
written as a sum over bilinears on the soliton conserved charges. The results
apply to any two solitons of any Affine Toda Field Theory. As a by-product, a
general expression for the number of bound states and the values of the
coupling in which the S-matrix can be diagonal are obtained. In order to arrive
at these results, a vertex operator is constructed, in the principal gradation,
for non-simply laced affine Lie algebras, extending the previous constructions
for simply laced and twisted affine Lie algebras.
|
[
{
"created": "Sat, 18 Sep 1999 00:11:34 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Oct 1999 19:26:33 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Kneipp",
"Marco A. C.",
""
]
] |
Soliton time-delays and the semiclassical limit for soliton S-matrices are calculated for non-simply laced Affine Toda Field Theories. The phase shift is written as a sum over bilinears on the soliton conserved charges. The results apply to any two solitons of any Affine Toda Field Theory. As a by-product, a general expression for the number of bound states and the values of the coupling in which the S-matrix can be diagonal are obtained. In order to arrive at these results, a vertex operator is constructed, in the principal gradation, for non-simply laced affine Lie algebras, extending the previous constructions for simply laced and twisted affine Lie algebras.
|
2012.09199
|
Theodoros Nakas
|
Theodoros Nakas and Panagiota Kanti
|
Localized brane-world black hole analytically connected to an AdS$_5$
boundary
|
7 pages, 3 figures, version to appear in Phys. Lett. B, typos
corrected, references updated, appendix added
| null |
10.1016/j.physletb.2021.136278
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct from first principles the geometry of an analytic, exponentially
localized five-dimensional brane-world black hole. The black-hole singularity
lies entirely on the 3-brane, while the event horizon is shown to have a
pancake shape. The induced line-element on the brane assumes the form of the
Schwarzschild solution while the bulk geometry is effectively AdS$_5$ outside
the horizon. The derived geometry is supported by an anisotropic fluid in the
bulk described only by two independent components, the energy density and
tangential pressure, whereas no matter needs to be introduced on the brane for
its consistent embedding in the bulk.
|
[
{
"created": "Wed, 16 Dec 2020 19:00:14 GMT",
"version": "v1"
},
{
"created": "Sun, 18 Apr 2021 09:20:25 GMT",
"version": "v2"
}
] |
2021-04-20
|
[
[
"Nakas",
"Theodoros",
""
],
[
"Kanti",
"Panagiota",
""
]
] |
We construct from first principles the geometry of an analytic, exponentially localized five-dimensional brane-world black hole. The black-hole singularity lies entirely on the 3-brane, while the event horizon is shown to have a pancake shape. The induced line-element on the brane assumes the form of the Schwarzschild solution while the bulk geometry is effectively AdS$_5$ outside the horizon. The derived geometry is supported by an anisotropic fluid in the bulk described only by two independent components, the energy density and tangential pressure, whereas no matter needs to be introduced on the brane for its consistent embedding in the bulk.
|
1806.09983
|
Darrell Jackson
|
Darrell Jackson
|
Re-Examination of Simple Kaluza-Klein Cosmologies
|
Previously unpublished
| null | null | null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Simple cosmological models based upon five-dimensional Kaluza-Klein
relativity are re-examined and interesting properties are indicated. These
models are special cases of those obtained by Davidson et al. and Mann and
Vincent, specifically, those with vanishing cosmological constant. No
five-dimensional sources are present: the solutions are Ricci-flat in five
dimensions. Electromagnetic degrees of freedom are assumed not to be excited,
consequently the four-dimensional stress-energy tensor induced by dimensional
reduction is entirely due to the scalar field, obeying the radiation equation
of state. For the three choices of curvature index, the dependence of the scale
factor on cosmic time corresponds to, for k = -1 either a bounce or big bang,
for k = 0 a big bang, and for k = 1 a big bang followed by collapse. The
Kretschmann scalar is proportional to the square of acceleration and approaches
zero for k = -1 and k = 0, while revealing true singularities in some cases.
Only one of the models exhibits the compactification behavior hoped for in a
realistic K-K model: shrinking of the circumference of fifth dimension in the
earliest times followed by an extended period of stability.
|
[
{
"created": "Sat, 23 Jun 2018 21:46:10 GMT",
"version": "v1"
}
] |
2018-06-27
|
[
[
"Jackson",
"Darrell",
""
]
] |
Simple cosmological models based upon five-dimensional Kaluza-Klein relativity are re-examined and interesting properties are indicated. These models are special cases of those obtained by Davidson et al. and Mann and Vincent, specifically, those with vanishing cosmological constant. No five-dimensional sources are present: the solutions are Ricci-flat in five dimensions. Electromagnetic degrees of freedom are assumed not to be excited, consequently the four-dimensional stress-energy tensor induced by dimensional reduction is entirely due to the scalar field, obeying the radiation equation of state. For the three choices of curvature index, the dependence of the scale factor on cosmic time corresponds to, for k = -1 either a bounce or big bang, for k = 0 a big bang, and for k = 1 a big bang followed by collapse. The Kretschmann scalar is proportional to the square of acceleration and approaches zero for k = -1 and k = 0, while revealing true singularities in some cases. Only one of the models exhibits the compactification behavior hoped for in a realistic K-K model: shrinking of the circumference of fifth dimension in the earliest times followed by an extended period of stability.
|
0808.1837
|
Aninda Sinha
|
Alex Buchel, Robert C. Myers, Miguel F. Paulos, Aninda Sinha
|
Universal holographic hydrodynamics at finite coupling
|
9 pages. v2: Comparison with lattice data added
|
Phys.Lett.B669:364-370,2008
|
10.1016/j.physletb.2008.10.003
|
DAMTP-2008-62, UWO-TH-08/12
|
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider thermal plasmas in a large class of superconformal gauge theories
described by a holographic dual geometry of the form $AdS_5\times M_5$. In
particular, we demonstrate that all of the thermodynamic properties and
hydrodynamic transport parameters for a large class of superconformal gauge
theories exhibit a certain universality to leading order in the inverse 't
Hooft coupling and $1/N_c$. In particular, we show that independent of the
compactification geometry, the leading corrections are derived from the same
five-dimensional effective supergravity action supplemented by a term quartic
in the five-dimensional Weyl tensor.
|
[
{
"created": "Wed, 13 Aug 2008 19:11:29 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Sep 2008 19:14:14 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Buchel",
"Alex",
""
],
[
"Myers",
"Robert C.",
""
],
[
"Paulos",
"Miguel F.",
""
],
[
"Sinha",
"Aninda",
""
]
] |
We consider thermal plasmas in a large class of superconformal gauge theories described by a holographic dual geometry of the form $AdS_5\times M_5$. In particular, we demonstrate that all of the thermodynamic properties and hydrodynamic transport parameters for a large class of superconformal gauge theories exhibit a certain universality to leading order in the inverse 't Hooft coupling and $1/N_c$. In particular, we show that independent of the compactification geometry, the leading corrections are derived from the same five-dimensional effective supergravity action supplemented by a term quartic in the five-dimensional Weyl tensor.
|
1805.02278
|
Massimo Mannarelli
|
Massimo Mannarelli and Francesco Tonelli
|
Gravitational wave echoes from strange stars
|
5 pages, 1 figure, improved discussion, added references, accepted
for publication in PRD
|
Phys. Rev. D 97, 123010 (2018)
|
10.1103/PhysRevD.97.123010
| null |
gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It has recently been claimed, with a $4.2 \sigma$ significance level, that
gravitational wave echoes at a frequency of about $72$ Hz have been produced in
the GW170817 event. The merging of compact stars can lead to the emission of
gravitational waves echoes if the post-merger object features a photon-sphere
capable of partially trapping the gravitational waves. If the post-merger
source is a black hole, a second internal reflection surface, associated to
quantum effects near the black hole horizon, must be present to avoid the
gravitational wave capture. Alternatively, gravitational wave echoes can be
produced by ultracompact stars crossing the photon-sphere line in the
mass-radius diagram during the neutron star merging. In this case, the second
reflection surface is not needed. A recently proposed preliminary analysis
using an incompressible (and so unphysical) equation of state suggests that
gravitational wave echoes at a frequency of tens of Hz can be produced by an
ultracompact star. Since strange stars are extremely compact, we examine the
possibility that strange stars emit gravitational wave echoes at such a
frequency. Using parameterized models of the equation of state of ultra-stiff
quark matter we find that a strange star can emit gravitational wave echoes,
but the corresponding frequencies are of the order of tens of kHz, thus not
compatible with the $72$ Hz signal.
|
[
{
"created": "Sun, 6 May 2018 21:01:03 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Jun 2018 07:16:59 GMT",
"version": "v2"
}
] |
2018-06-27
|
[
[
"Mannarelli",
"Massimo",
""
],
[
"Tonelli",
"Francesco",
""
]
] |
It has recently been claimed, with a $4.2 \sigma$ significance level, that gravitational wave echoes at a frequency of about $72$ Hz have been produced in the GW170817 event. The merging of compact stars can lead to the emission of gravitational waves echoes if the post-merger object features a photon-sphere capable of partially trapping the gravitational waves. If the post-merger source is a black hole, a second internal reflection surface, associated to quantum effects near the black hole horizon, must be present to avoid the gravitational wave capture. Alternatively, gravitational wave echoes can be produced by ultracompact stars crossing the photon-sphere line in the mass-radius diagram during the neutron star merging. In this case, the second reflection surface is not needed. A recently proposed preliminary analysis using an incompressible (and so unphysical) equation of state suggests that gravitational wave echoes at a frequency of tens of Hz can be produced by an ultracompact star. Since strange stars are extremely compact, we examine the possibility that strange stars emit gravitational wave echoes at such a frequency. Using parameterized models of the equation of state of ultra-stiff quark matter we find that a strange star can emit gravitational wave echoes, but the corresponding frequencies are of the order of tens of kHz, thus not compatible with the $72$ Hz signal.
|
2112.07556
|
Donal O'Connell
|
Andrea Cristofoli, Riccardo Gonzo, Nathan Moynihan, Donal O'Connell,
Alasdair Ross, Matteo Sergola and Chris D. White
|
The Uncertainty Principle and Classical Amplitudes
|
59 pages + appendices, ancillary file attached. v2: minor
clarifications in section 6, some typos fixed, other small textual
improvements. v3: journal version
| null | null |
SAGEX-21-31-E, QMUL-PH-21-56
|
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We study the variance in the measurement of observables during scattering
events, as computed using amplitudes. The classical regime, characterised by
negligible uncertainty, emerges as a consequence of an infinite set of
relationships among multileg, multiloop amplitudes in a momentum-transfer
expansion. We discuss two non-trivial examples in detail: the six-point tree
and the five-point one-loop amplitudes in scalar QED. We interpret these
relationships in terms or a coherent exponentiation of radiative effects in the
classical limit which generalises the eikonal formula, and show how to recover
the impulse, including radiation reaction, from this generalised eikonal.
Finally, we incorporate the physics of spin into our framework.
|
[
{
"created": "Tue, 14 Dec 2021 17:01:29 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Apr 2024 20:37:43 GMT",
"version": "v2"
},
{
"created": "Wed, 29 May 2024 09:50:10 GMT",
"version": "v3"
}
] |
2024-05-30
|
[
[
"Cristofoli",
"Andrea",
""
],
[
"Gonzo",
"Riccardo",
""
],
[
"Moynihan",
"Nathan",
""
],
[
"O'Connell",
"Donal",
""
],
[
"Ross",
"Alasdair",
""
],
[
"Sergola",
"Matteo",
""
],
[
"White",
"Chris D.",
""
]
] |
We study the variance in the measurement of observables during scattering events, as computed using amplitudes. The classical regime, characterised by negligible uncertainty, emerges as a consequence of an infinite set of relationships among multileg, multiloop amplitudes in a momentum-transfer expansion. We discuss two non-trivial examples in detail: the six-point tree and the five-point one-loop amplitudes in scalar QED. We interpret these relationships in terms or a coherent exponentiation of radiative effects in the classical limit which generalises the eikonal formula, and show how to recover the impulse, including radiation reaction, from this generalised eikonal. Finally, we incorporate the physics of spin into our framework.
|
hep-th/9810247
|
Zahid Zakir
|
Zahid Zakir (Institute of Noosphere, Tashkent, Uzbekistan)
|
Are Strings Thermostrings?
|
5 pages, 18 Kb, LaTex, Report of paper hep-th/9809170 in seminar
|
Theor. Phys., Astrophys. and Cosmol., 5 (2010) 8
|
10.9751/TPAC.3400-016
|
3-1998 IN
|
hep-th
| null |
In the method of thermostring quantization the time evolution of point
particles at finite temperature kT is described in a geometric manner. The
temperature paths of particles are represented as closed (thermo)strings, which
are swept surfaces in space-time-temperature manifold. The method makes it
possible a new physical interpretation of superstrings IIA and heterotic
strings as point particles in a thermal bath with Planck temperature.
|
[
{
"created": "Fri, 30 Oct 1998 12:14:01 GMT",
"version": "v1"
}
] |
2012-10-09
|
[
[
"Zakir",
"Zahid",
"",
"Institute of Noosphere, Tashkent, Uzbekistan"
]
] |
In the method of thermostring quantization the time evolution of point particles at finite temperature kT is described in a geometric manner. The temperature paths of particles are represented as closed (thermo)strings, which are swept surfaces in space-time-temperature manifold. The method makes it possible a new physical interpretation of superstrings IIA and heterotic strings as point particles in a thermal bath with Planck temperature.
|
1711.07449
|
Wei Li
|
Matthias R. Gaberdiel, Wei Li, Cheng Peng, Hong Zhang
|
The supersymmetric affine Yangian
|
35 pages, 5 figures
| null |
10.1007/JHEP05(2018)200
|
Brown-HET-1729
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The affine Yangian of $\mathfrak{gl}_1$ is known to be isomorphic to ${\cal
W}_{1+\infty}$, the $W$-algebra that characterizes the bosonic higher spin --
CFT duality. In this paper we propose defining relations of the Yangian that
are relevant for the ${\cal N}=2$ superconformal version of ${\cal
W}_{1+\infty}$. Our construction is based on the observation that the ${\cal
N}=2$ superconformal ${\cal W}_{1+\infty}$ algebra contains two commuting
bosonic ${\cal W}_{1+\infty}$ algebras, and that the additional generators
transform in bi-minimal representations with respect to these two algebras. The
corresponding affine Yangian can therefore be built up from two affine Yangians
of $\mathfrak{gl}_1$ by adding in generators that transform appropriately.
|
[
{
"created": "Mon, 20 Nov 2017 18:23:17 GMT",
"version": "v1"
},
{
"created": "Tue, 29 May 2018 16:26:46 GMT",
"version": "v2"
}
] |
2018-07-04
|
[
[
"Gaberdiel",
"Matthias R.",
""
],
[
"Li",
"Wei",
""
],
[
"Peng",
"Cheng",
""
],
[
"Zhang",
"Hong",
""
]
] |
The affine Yangian of $\mathfrak{gl}_1$ is known to be isomorphic to ${\cal W}_{1+\infty}$, the $W$-algebra that characterizes the bosonic higher spin -- CFT duality. In this paper we propose defining relations of the Yangian that are relevant for the ${\cal N}=2$ superconformal version of ${\cal W}_{1+\infty}$. Our construction is based on the observation that the ${\cal N}=2$ superconformal ${\cal W}_{1+\infty}$ algebra contains two commuting bosonic ${\cal W}_{1+\infty}$ algebras, and that the additional generators transform in bi-minimal representations with respect to these two algebras. The corresponding affine Yangian can therefore be built up from two affine Yangians of $\mathfrak{gl}_1$ by adding in generators that transform appropriately.
|
1103.6148
|
Akihiro Ishibashi
|
Akihiro Ishibashi and Hideo Kodama
|
Perturbations and Stability of Static Black Holes in Higher Dimensions
|
Invited review for Prog. Theor. Phys. Suppl, 45 pages, 2 figures, 1
table, v2: references added, the notations slightly modified to match PTPS
published version
| null |
10.1143/PTPS.189.165
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this chapter we consider perturbations and stability of higher dimensional
black holes focusing on the static background case. We first review a
gauge-invariant formalism for linear perturbations in a fairly generic class of
(m+n)-dimensional spacetimes with a warped product metric, including black hole
geometry. We classify perturbations of such a background into three types, the
tensor, vector and scalar-type, according to their tensorial behaviour on the
n-dimensional part of the background spacetime, and for each type of
perturbations, we introduce a set of manifestly gauge invariant variables. We
then introduce harmonic tensors and write down the equations of motion for the
expansion coefficients of the gauge invariant perturbation variables in terms
of the harmonics. In particular, for the tensor-type perturbations a single
master equation is obtained in the (m+n)-dimensional background, which is
applicable for perturbation analysis of not only static black holes but also
some class of rotating black holes as well as black-branes. For the vector and
scalar type, we derive a set of decoupled master equations when the background
is a (2+n)-dimensional static black hole in the Einstein-Maxwell theory with a
cosmological constant. As an application of the master equations, we review the
stability analysis of higher dimensional charged static black holes with a
cosmological constant. We also briefly review the recent results of a
generalisation of the perturbation formulae presented here and stability
analysis to static black holes in generic Lovelock theory.
|
[
{
"created": "Thu, 31 Mar 2011 11:49:06 GMT",
"version": "v1"
},
{
"created": "Wed, 18 May 2011 06:53:28 GMT",
"version": "v2"
}
] |
2015-05-27
|
[
[
"Ishibashi",
"Akihiro",
""
],
[
"Kodama",
"Hideo",
""
]
] |
In this chapter we consider perturbations and stability of higher dimensional black holes focusing on the static background case. We first review a gauge-invariant formalism for linear perturbations in a fairly generic class of (m+n)-dimensional spacetimes with a warped product metric, including black hole geometry. We classify perturbations of such a background into three types, the tensor, vector and scalar-type, according to their tensorial behaviour on the n-dimensional part of the background spacetime, and for each type of perturbations, we introduce a set of manifestly gauge invariant variables. We then introduce harmonic tensors and write down the equations of motion for the expansion coefficients of the gauge invariant perturbation variables in terms of the harmonics. In particular, for the tensor-type perturbations a single master equation is obtained in the (m+n)-dimensional background, which is applicable for perturbation analysis of not only static black holes but also some class of rotating black holes as well as black-branes. For the vector and scalar type, we derive a set of decoupled master equations when the background is a (2+n)-dimensional static black hole in the Einstein-Maxwell theory with a cosmological constant. As an application of the master equations, we review the stability analysis of higher dimensional charged static black holes with a cosmological constant. We also briefly review the recent results of a generalisation of the perturbation formulae presented here and stability analysis to static black holes in generic Lovelock theory.
|
hep-th/0402152
|
Leopoldo A. Pando Zayas
|
Joshua L. Davis, Leopoldo A. Pando Zayas and Diana Vaman
|
On Black Hole Thermodynamics of 2-D Type 0A
|
20pp, v2: references added
|
JHEP 0403 (2004) 007
|
10.1088/1126-6708/2004/03/007
|
MCTP-04-07, PUPT-2110
|
hep-th
| null |
We present a detailed analysis of the thermodynamics of two dimensional black
hole solutions to type 0A with q units of electric and magnetic flux. We
compute the free energy and derived quantities such as entropy and mass for an
arbitrary non-extremal black hole. The free energy is non-vanishing, in
contrast to the case of dilatonic 2-d black holes without electric and magnetic
fluxes. The entropy of the extremal black holes is obtained, and we find it to
be proportional to q^2, the square of the RR flux. We compare these
thermodynamics quantities with those from candidate matrix model duals.
|
[
{
"created": "Thu, 19 Feb 2004 20:17:32 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Mar 2004 00:31:07 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Davis",
"Joshua L.",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
],
[
"Vaman",
"Diana",
""
]
] |
We present a detailed analysis of the thermodynamics of two dimensional black hole solutions to type 0A with q units of electric and magnetic flux. We compute the free energy and derived quantities such as entropy and mass for an arbitrary non-extremal black hole. The free energy is non-vanishing, in contrast to the case of dilatonic 2-d black holes without electric and magnetic fluxes. The entropy of the extremal black holes is obtained, and we find it to be proportional to q^2, the square of the RR flux. We compare these thermodynamics quantities with those from candidate matrix model duals.
|
1408.6545
|
Daniel Thompson
|
Konstadinos Sfetsos and Daniel C. Thompson
|
New ${\cal N} = 1$ supersymmetric $AdS_5$ backgrounds in Type IIA
supergravity
|
15 pages
| null |
10.1007/JHEP11(2014)006
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a family of N=1 supersymmetric backgrounds in type-IIA
supergravity and their lifts to eleven-dimensional supergravity. These are of
the form $AdS_5 \times X^5$ and are characterised by an $SU(2)$ structure. The
internal space, $X^5$, is obtained from the known Sasaki-Einstein manifolds,
$Y^{p,q}$, via an application of non-Abelian T-duality.
|
[
{
"created": "Wed, 27 Aug 2014 20:02:28 GMT",
"version": "v1"
}
] |
2015-06-22
|
[
[
"Sfetsos",
"Konstadinos",
""
],
[
"Thompson",
"Daniel C.",
""
]
] |
We present a family of N=1 supersymmetric backgrounds in type-IIA supergravity and their lifts to eleven-dimensional supergravity. These are of the form $AdS_5 \times X^5$ and are characterised by an $SU(2)$ structure. The internal space, $X^5$, is obtained from the known Sasaki-Einstein manifolds, $Y^{p,q}$, via an application of non-Abelian T-duality.
|
1706.06212
|
Maria J. Rodriguez
|
Maria J. Rodriguez
|
Binary Black Hole in a Double Magnetic Monopole Field
|
5 pages, 6 figures
| null |
10.1140/epjc/s10052-018-5550-5
| null |
gr-qc astro-ph.HE hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Ambient magnetic fields are thought to play a critical role in black hole jet
formation. Furthermore, dual electromagnetic signals could be produced during
the inspiral and merger of binary black hole systems. However, due to the
absence of theoretical models, the physical status of binary black hole arrays
with dual jets has remained unresolved. In this paper, we derive the exact
solution for the electromagnetic field occurring when a static, axisymmetric
binary black hole system is placed in the field of two magnetic or electric
monopoles. As a by-product of this derivation, we also find the exact solution
of the binary black hole configuration in a magnetic or electric dipole field.
The presence of conical singularities in the static black hole binaries
represent the gravitational attraction between the black holes that also drag
the external two monopole field. We show that these off-balance configurations
generate no energy outflows.
|
[
{
"created": "Mon, 19 Jun 2017 23:20:11 GMT",
"version": "v1"
}
] |
2018-03-14
|
[
[
"Rodriguez",
"Maria J.",
""
]
] |
Ambient magnetic fields are thought to play a critical role in black hole jet formation. Furthermore, dual electromagnetic signals could be produced during the inspiral and merger of binary black hole systems. However, due to the absence of theoretical models, the physical status of binary black hole arrays with dual jets has remained unresolved. In this paper, we derive the exact solution for the electromagnetic field occurring when a static, axisymmetric binary black hole system is placed in the field of two magnetic or electric monopoles. As a by-product of this derivation, we also find the exact solution of the binary black hole configuration in a magnetic or electric dipole field. The presence of conical singularities in the static black hole binaries represent the gravitational attraction between the black holes that also drag the external two monopole field. We show that these off-balance configurations generate no energy outflows.
|
1209.2029
|
Jan Gutowski
|
Jan B. Gutowski and W. A. Sabra
|
Euclidean N=2 Supergravity
|
12 pages, latex. Minor sign corrections in section 4
| null |
10.1016/j.physletb.2012.10.050
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Euclidean special geometry has recently been investigated in the context of
Euclidean supersymmetric theories with vector multiplets. In the rigid case,
the scalar manifold is described by affine special para-Kahler geometry while
the target geometries of Euclidean vector multiplets coupled to supergravity
are given by projective special para-Kahler manifolds. In this letter, we
derive the Killing spinor equations of Euclidean N=2 supergravity theories
coupled to vector multiplets. These equations provide the starting point for
finding general supersymmetric instanton solutions.
|
[
{
"created": "Mon, 10 Sep 2012 15:26:33 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Oct 2012 14:20:24 GMT",
"version": "v2"
}
] |
2015-06-11
|
[
[
"Gutowski",
"Jan B.",
""
],
[
"Sabra",
"W. A.",
""
]
] |
Euclidean special geometry has recently been investigated in the context of Euclidean supersymmetric theories with vector multiplets. In the rigid case, the scalar manifold is described by affine special para-Kahler geometry while the target geometries of Euclidean vector multiplets coupled to supergravity are given by projective special para-Kahler manifolds. In this letter, we derive the Killing spinor equations of Euclidean N=2 supergravity theories coupled to vector multiplets. These equations provide the starting point for finding general supersymmetric instanton solutions.
|
1510.04490
|
Wolfgang M\"uck
|
Wolfgang M\"uck
|
Photons in a Ball
|
16 pages, 1 figure, v.2: added reference as in published version
|
Eur. Phys. J. C (2015) 75:585
|
10.1140/epjc/s10052-015-3811-0
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The electromagnetic field inside a spherical cavity of large radius R is
considered in the presence of stationary charge and current densities. R
provides infra-red regularization while maintaining gauge invariance. The
quantum ground state of physical photons forming the magnetic field is found to
be a coherent state with a definite mean occupation number. The electric field,
which is determined by the Gauss law constraint, is maintained by a minimum
uncertainty coherent state, according to the projection operator approach to
the quantization of constrained systems. The mean occupation number of this
state is proportional to the square of the total charge. The results confirm
formulae obtained previously from a calculation with a finite photon mass for
infra-red regularization.
|
[
{
"created": "Thu, 15 Oct 2015 12:09:41 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Dec 2015 14:28:35 GMT",
"version": "v2"
}
] |
2015-12-17
|
[
[
"Mück",
"Wolfgang",
""
]
] |
The electromagnetic field inside a spherical cavity of large radius R is considered in the presence of stationary charge and current densities. R provides infra-red regularization while maintaining gauge invariance. The quantum ground state of physical photons forming the magnetic field is found to be a coherent state with a definite mean occupation number. The electric field, which is determined by the Gauss law constraint, is maintained by a minimum uncertainty coherent state, according to the projection operator approach to the quantization of constrained systems. The mean occupation number of this state is proportional to the square of the total charge. The results confirm formulae obtained previously from a calculation with a finite photon mass for infra-red regularization.
|
hep-th/0208016
|
Antonio Rago
|
P. Grinza and A. Rago
|
Study of the 2d Ising Model with mixed perturbation
|
Revised version, typos corrected, reference added. LaTeX 27 pages
|
Nucl.Phys.B651:387-412,2003
|
10.1016/S0550-3213(02)01090-8
| null |
hep-th cond-mat.stat-mech
| null |
We study the thermodynamical observables of the 2d Ising model in the
neighborhood of the magnetic axis by means of numerical diagonalization of the
transfer matrix. In particular, we estimate the leading order corrections to
the Zamolodchikov mass spectrum and find evidence of non-vanishing
contributions due to the stress-energy tensor.
|
[
{
"created": "Fri, 2 Aug 2002 13:47:58 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Dec 2002 13:20:39 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Grinza",
"P.",
""
],
[
"Rago",
"A.",
""
]
] |
We study the thermodynamical observables of the 2d Ising model in the neighborhood of the magnetic axis by means of numerical diagonalization of the transfer matrix. In particular, we estimate the leading order corrections to the Zamolodchikov mass spectrum and find evidence of non-vanishing contributions due to the stress-energy tensor.
|
hep-th/9404006
| null |
R. Kallosh and T. Ortin
|
Supersymmetry, Trace Anomaly and Naked Singularities
|
11 pages. Latex file
| null | null |
Newton Institute Preprint NI94002, Queen Mary and Westfield College
Preprint QMW-PH-94-7, Stanford University Preprint SU-ITP-94-8
|
hep-th gr-qc
| null |
We discuss stationary supersymmetric bosonic configurations of the
Einstein-Maxwell theory embedded in $N=2$ supergravity. Some of these
configurations, including the Kerr-Newman solutions with $m = |q|$ and
arbitrary angular momentum per unit mass $a$, exhibit naked singularities.
However, $N=2$ supergravity has trace anomaly. The nonvanishing anomalous
energy-momentum tensor of these Kerr-Newman solutions violates a consistency
condition for a configuration to admit unbroken supersymmetry. Thus, the trace
anomaly of this theory prevents the supersymmetric solutions from exhibiting
naked singularities.
|
[
{
"created": "Sat, 2 Apr 1994 00:44:35 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kallosh",
"R.",
""
],
[
"Ortin",
"T.",
""
]
] |
We discuss stationary supersymmetric bosonic configurations of the Einstein-Maxwell theory embedded in $N=2$ supergravity. Some of these configurations, including the Kerr-Newman solutions with $m = |q|$ and arbitrary angular momentum per unit mass $a$, exhibit naked singularities. However, $N=2$ supergravity has trace anomaly. The nonvanishing anomalous energy-momentum tensor of these Kerr-Newman solutions violates a consistency condition for a configuration to admit unbroken supersymmetry. Thus, the trace anomaly of this theory prevents the supersymmetric solutions from exhibiting naked singularities.
|
2109.05245
|
Reiji Yoshioka
|
H. Itoyama, A. Mironov, A. Morozov, R. Yoshioka
|
Review on the Operator/Feynman diagram/Dessins d'enfant Correspondence
in Tensor Model
|
11 pages, 5 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
A short review of the Operator/Feynman diagram/dessin d'enfants
correspondence in the rank 3 tensor model is presented, and the cut & join
operation is given in the language of dessin d'enfants as a straightforward
development. We classify operators of the rank 3 tensor model up to level 5
with dessin d'enfants.
|
[
{
"created": "Sat, 11 Sep 2021 10:07:08 GMT",
"version": "v1"
}
] |
2021-09-14
|
[
[
"Itoyama",
"H.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Yoshioka",
"R.",
""
]
] |
A short review of the Operator/Feynman diagram/dessin d'enfants correspondence in the rank 3 tensor model is presented, and the cut & join operation is given in the language of dessin d'enfants as a straightforward development. We classify operators of the rank 3 tensor model up to level 5 with dessin d'enfants.
|
hep-th/9510170
| null |
S. Varma and E.C.G. Sudarshan
|
Quantum Scattering Theory in the light of an exactly solvable model with
rearrangement collisions
|
74 pages, uuencoded postscript file
|
J.Math.Phys.37:1668-1712,1996
|
10.1063/1.531476
|
CPP-94-1
|
hep-th
| null |
We present an exactly solvable quantum field theory which allows
rearrangement collisions. We solve the model in the relevant sectors and
demonstrate the orthonormality and completeness of the solutions, and construct
the S-matrix. In the light of the exact solutions constructed, we discuss
various issues and assumptions in quantum scattering theory, including the
isometry of the M\"oller wave matrix, the normalization and completeness of
asymptotic states, and the non-orthogonality of basis states. We show that
these common assertions do not obtain in this model. We suggest a general
formalism for scattering theory which overcomes these, and other, shortcomings
and limitations of the existing formalisms in the literature.
|
[
{
"created": "Mon, 23 Oct 1995 20:50:43 GMT",
"version": "v1"
}
] |
2011-06-20
|
[
[
"Varma",
"S.",
""
],
[
"Sudarshan",
"E. C. G.",
""
]
] |
We present an exactly solvable quantum field theory which allows rearrangement collisions. We solve the model in the relevant sectors and demonstrate the orthonormality and completeness of the solutions, and construct the S-matrix. In the light of the exact solutions constructed, we discuss various issues and assumptions in quantum scattering theory, including the isometry of the M\"oller wave matrix, the normalization and completeness of asymptotic states, and the non-orthogonality of basis states. We show that these common assertions do not obtain in this model. We suggest a general formalism for scattering theory which overcomes these, and other, shortcomings and limitations of the existing formalisms in the literature.
|
hep-th/9412042
| null |
Janos Polonyi
|
Renormalization group and continuum limit in Quantum Mechanics
|
3 pg., presented at Lattice '94, Bielefeld
|
Nucl.Phys.Proc.Suppl. 42 (1995) 926-928
|
10.1016/0920-5632(95)00424-8
| null |
hep-th
| null |
The running coupling constants are introduced in Quantum Mechanics and their
evolution is described by the help of the renormalization group equation.
|
[
{
"created": "Mon, 5 Dec 1994 21:38:35 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Polonyi",
"Janos",
""
]
] |
The running coupling constants are introduced in Quantum Mechanics and their evolution is described by the help of the renormalization group equation.
|
2301.04575
|
Pietro Oreglia
|
Vladimir Belavin, Pietro Oreglia, Juan Ramos Cabezas
|
Wilson lines construction of $\mathfrak{sl}_3$ toroidal conformal blocks
| null | null |
10.1016/j.nuclphysb.2023.116186
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study $\mathcal{W}_3$ toroidal conformal blocks for degenerate primary
fields in AdS/CFT context. In the large central charge limit $\mathcal{W}_3$
algebra reduces to $\mathfrak{sl}_3$ algebra and $\mathfrak{sl}_3$ blocks are
defined as contributions to $\mathcal{W}_3$ blocks coming from the generators
of $\mathfrak{sl}_3$ subalgebra. We consider the construction of
$\mathfrak{sl}_3$ toroidal blocks in terms of Wilson lines operators of $3d$
Chern-Simons gravity in the thermal AdS$_3$ space-time. According to the
correspondence, degenerate primary fields are associated with Wilson lines
operators acting in the corresponding finite-dimensional $\mathfrak{sl}_3$
representations. We verify this dual construction for one-point toroidal block
using $\mathfrak{sl}_3$ tensor technique in the bulk theory and an algorithm
based on AGT correspondence in the boundary CFT.
|
[
{
"created": "Wed, 11 Jan 2023 17:06:27 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Feb 2023 08:01:02 GMT",
"version": "v2"
}
] |
2023-05-03
|
[
[
"Belavin",
"Vladimir",
""
],
[
"Oreglia",
"Pietro",
""
],
[
"Cabezas",
"Juan Ramos",
""
]
] |
We study $\mathcal{W}_3$ toroidal conformal blocks for degenerate primary fields in AdS/CFT context. In the large central charge limit $\mathcal{W}_3$ algebra reduces to $\mathfrak{sl}_3$ algebra and $\mathfrak{sl}_3$ blocks are defined as contributions to $\mathcal{W}_3$ blocks coming from the generators of $\mathfrak{sl}_3$ subalgebra. We consider the construction of $\mathfrak{sl}_3$ toroidal blocks in terms of Wilson lines operators of $3d$ Chern-Simons gravity in the thermal AdS$_3$ space-time. According to the correspondence, degenerate primary fields are associated with Wilson lines operators acting in the corresponding finite-dimensional $\mathfrak{sl}_3$ representations. We verify this dual construction for one-point toroidal block using $\mathfrak{sl}_3$ tensor technique in the bulk theory and an algorithm based on AGT correspondence in the boundary CFT.
|
0704.3308
|
Ilarion Melnikov
|
Nick Halmagyi, Ilarion V. Melnikov, and Savdeep Sethi
|
Instantons, Hypermultiplets and the Heterotic String
|
52 pages, LaTeX; references, some corrections and clarifications
added to the published version
|
JHEP0707:086,2007
|
10.1088/1126-6708/2007/07/086
|
EFI-07-11
|
hep-th
| null |
Hypermultiplet couplings in type IIA string theory on a Calabi-Yau space can
be quantum corrected by D2-brane instantons wrapping special Lagrangian cycles.
On the other hand, hypermultiplet couplings in the heterotic string on a K3
surface are corrected by world-sheet instantons wrapping curves. In a class of
examples, we relate these two sets of instanton corrections. We first present
an analogue of the c-map for the heterotic string via a dual flux
compactification of M-theory. Using this duality, we propose two ways of
capturing quantum corrections to hypermultiplets. We then use the orientifold
limit of certain F-theory compactifications to relate curves in K3 to special
Lagrangians in dual type IIA compactifications. We conclude with some results
from perturbative string theory for hypermultiplet F-terms and a conjecture
about the topology of brane instantons.
|
[
{
"created": "Wed, 25 Apr 2007 05:09:34 GMT",
"version": "v1"
},
{
"created": "Tue, 8 May 2007 22:29:08 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Aug 2007 16:28:15 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Halmagyi",
"Nick",
""
],
[
"Melnikov",
"Ilarion V.",
""
],
[
"Sethi",
"Savdeep",
""
]
] |
Hypermultiplet couplings in type IIA string theory on a Calabi-Yau space can be quantum corrected by D2-brane instantons wrapping special Lagrangian cycles. On the other hand, hypermultiplet couplings in the heterotic string on a K3 surface are corrected by world-sheet instantons wrapping curves. In a class of examples, we relate these two sets of instanton corrections. We first present an analogue of the c-map for the heterotic string via a dual flux compactification of M-theory. Using this duality, we propose two ways of capturing quantum corrections to hypermultiplets. We then use the orientifold limit of certain F-theory compactifications to relate curves in K3 to special Lagrangians in dual type IIA compactifications. We conclude with some results from perturbative string theory for hypermultiplet F-terms and a conjecture about the topology of brane instantons.
|
1209.3991
|
Massimo Giovannini
|
Massimo Giovannini
|
Secondary graviton spectra, second-order correlations and Bose-Einstein
enhancement
|
25 pages, no figures
| null |
10.1088/0264-9381/30/1/015009
|
CERN-PH-TH/2012-218
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Primary graviton spectra, produced via stimulated emission from an initial
Bose-Einstein distribution, are enhanced for typical scales larger than the
redshifted thermal wavelength. A mixed state of phonons induces a secondary
graviton spectrum which is hereunder computed in terms of three parameters
(i.e. the number of phonon species, the tensor-to-scalar ratio and the thermal
wavelengths of the mixture). The primary and secondary graviton spectra are
shown to be sensitive, respectively, to the first-order and second-order
correlation properties of the initial quantum mixture so that the semiclassical
theory is argued to be generally inadequate in this context. For particular
values of the parameters the secondary contribution may turn out to be
comparable with the primary spectrum over large-scales.
|
[
{
"created": "Tue, 18 Sep 2012 15:30:10 GMT",
"version": "v1"
}
] |
2015-06-11
|
[
[
"Giovannini",
"Massimo",
""
]
] |
Primary graviton spectra, produced via stimulated emission from an initial Bose-Einstein distribution, are enhanced for typical scales larger than the redshifted thermal wavelength. A mixed state of phonons induces a secondary graviton spectrum which is hereunder computed in terms of three parameters (i.e. the number of phonon species, the tensor-to-scalar ratio and the thermal wavelengths of the mixture). The primary and secondary graviton spectra are shown to be sensitive, respectively, to the first-order and second-order correlation properties of the initial quantum mixture so that the semiclassical theory is argued to be generally inadequate in this context. For particular values of the parameters the secondary contribution may turn out to be comparable with the primary spectrum over large-scales.
|
1111.0198
|
A. Yu. Petrov
|
T. Mariz, J. R. Nascimento, A. Yu. Petrov
|
On the perturbative generation of the higher-derivative Lorentz-breaking
terms
|
12 pages, version accepted to PRD
|
Phys. Rev. D 85, 125003 (2012)
|
10.1103/PhysRevD.85.125003
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we describe the perturbative generation of the
higher-derivative Lorentz-breaking terms for the gauge field, that is, the
Myers-Pospelov term and the higher-derivative Carroll-Field-Jackiw term. These
terms are explicitly calculated in the one-loop approximation and shown to be
finite and ambiguous.
|
[
{
"created": "Tue, 1 Nov 2011 13:22:07 GMT",
"version": "v1"
},
{
"created": "Wed, 9 May 2012 15:10:47 GMT",
"version": "v2"
}
] |
2015-06-03
|
[
[
"Mariz",
"T.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Petrov",
"A. Yu.",
""
]
] |
In this paper, we describe the perturbative generation of the higher-derivative Lorentz-breaking terms for the gauge field, that is, the Myers-Pospelov term and the higher-derivative Carroll-Field-Jackiw term. These terms are explicitly calculated in the one-loop approximation and shown to be finite and ambiguous.
|
hep-th/9808072
|
Henrik Gustafsson
|
H. Gustafsson, U. Lindstrom
|
2D supergravity in p+1 dimensions
|
16 pages, Latex
|
Nucl.Phys. B540 (1999) 520-532
|
10.1016/S0550-3213(98)00672-5
|
USITP-98-12, OSLO-TP 7-98
|
hep-th
| null |
We describe new $N$-extended 2D supergravities on a $(p+1)$-dimensional
(bosonic) space. The fundamental objects are moving frame densities that equip
each $(p+1)$-dimensional point with a 2D ``tangent space''. The theory is
presented in a $[p+1, 2]$ superspace. For the special case of $p=1$ we recover
the 2D supergravities in an unusual form. The formalism has been developed with
applications to the string-parton picture of $D$-branes at strong coupling in
mind.
|
[
{
"created": "Wed, 12 Aug 1998 19:54:36 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Gustafsson",
"H.",
""
],
[
"Lindstrom",
"U.",
""
]
] |
We describe new $N$-extended 2D supergravities on a $(p+1)$-dimensional (bosonic) space. The fundamental objects are moving frame densities that equip each $(p+1)$-dimensional point with a 2D ``tangent space''. The theory is presented in a $[p+1, 2]$ superspace. For the special case of $p=1$ we recover the 2D supergravities in an unusual form. The formalism has been developed with applications to the string-parton picture of $D$-branes at strong coupling in mind.
|
2408.06829
|
Salomeh Khoeini-Moghaddam
|
Salomeh Khoeini-Moghaddam
|
Tachyon Inflation in $R+R^2$ Background
| null | null | null | null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The presence of a tachyon field in $R+\mu R^2$ is considered. Our analysis
shows that the contribution of the tachyon field in energy density is
suppressed, but it affects cosmological parameters.
|
[
{
"created": "Tue, 13 Aug 2024 11:39:30 GMT",
"version": "v1"
}
] |
2024-08-14
|
[
[
"Khoeini-Moghaddam",
"Salomeh",
""
]
] |
The presence of a tachyon field in $R+\mu R^2$ is considered. Our analysis shows that the contribution of the tachyon field in energy density is suppressed, but it affects cosmological parameters.
|
hep-th/9811190
| null |
Hai-cang Ren (The Rockefeller University)
|
Path Integrals, BRST Identities and Regularization Schemes in
Nonstandard Gauges
|
40 pages and 2 figures
|
Annals Phys. 283 (2000) 57-93
|
10.1006/aphy.2000.6046
|
RU98-7-B
|
hep-th
| null |
The path integral of a gauge theory is studied in Coulomb-like gauges. The
Christ-Lee terms of operator ordering are reproduced {\it{within}} the path
integration framework. In the presence of fermions, a new operator term, in
addition to that of Christ-Lee, is discovered. Such kind of terms is found to
be instrumental in restoring the invariance of the effective Lagrangian under a
field dependent gauge transformation, which underlies the BRST symmetry. A
unitary regularization scheme which maintains manifest BRST symmetry and is
free from energy divergences is proposed for a nonabelian gauge field.
|
[
{
"created": "Fri, 20 Nov 1998 21:54:11 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Ren",
"Hai-cang",
"",
"The Rockefeller University"
]
] |
The path integral of a gauge theory is studied in Coulomb-like gauges. The Christ-Lee terms of operator ordering are reproduced {\it{within}} the path integration framework. In the presence of fermions, a new operator term, in addition to that of Christ-Lee, is discovered. Such kind of terms is found to be instrumental in restoring the invariance of the effective Lagrangian under a field dependent gauge transformation, which underlies the BRST symmetry. A unitary regularization scheme which maintains manifest BRST symmetry and is free from energy divergences is proposed for a nonabelian gauge field.
|
2301.07035
|
Luigi Guerrini
|
Luigi Guerrini
|
On protected defect correlators in 3d $\mathcal{N}\ge4$ theories
|
25 pages, 2 figures, references and comments added, typos corrected
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study and compute supersymmetric observables for line defects in 3d
$\mathcal{N}\ge4$ theories. Our setup is a novel supersymmetric configuration
involving line operators and local operators living on a linked circle. The
algebra of the local operators is described by a topological quantum mechanics.
For operators belonging to conserved current multiplets, we propose an exact
formula for their correlation functions based on a Ward identity for integrated
correlators. Our formula gives a general recipe to compute the bremsstrahlung
function for any $\frac{1}{3}$-BPS lines in $\mathcal{N}=6$ SCFTs. We apply our
relation to the $\frac{1}{2}$-BPS Wilson loop in the ABJM model, showing the
validity of previous computations. Furthermore, our construction allows us to
explore higher points correlators. As an example, we compute the two-point
function of the stress tensor multiplet correlators in ABJM theory in the
presence of the Wilson line. We also present some perturbative checks of our
formulae.
|
[
{
"created": "Tue, 17 Jan 2023 17:34:06 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Mar 2023 14:52:09 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Oct 2023 10:27:05 GMT",
"version": "v3"
}
] |
2023-10-19
|
[
[
"Guerrini",
"Luigi",
""
]
] |
We study and compute supersymmetric observables for line defects in 3d $\mathcal{N}\ge4$ theories. Our setup is a novel supersymmetric configuration involving line operators and local operators living on a linked circle. The algebra of the local operators is described by a topological quantum mechanics. For operators belonging to conserved current multiplets, we propose an exact formula for their correlation functions based on a Ward identity for integrated correlators. Our formula gives a general recipe to compute the bremsstrahlung function for any $\frac{1}{3}$-BPS lines in $\mathcal{N}=6$ SCFTs. We apply our relation to the $\frac{1}{2}$-BPS Wilson loop in the ABJM model, showing the validity of previous computations. Furthermore, our construction allows us to explore higher points correlators. As an example, we compute the two-point function of the stress tensor multiplet correlators in ABJM theory in the presence of the Wilson line. We also present some perturbative checks of our formulae.
|
hep-th/9504067
|
Heinz Rothe
|
R. Banerjee, H. J. Rothe and K. D. Rothe
|
On the Equivalence of the Maxwell-Chern-Simons Theory and a Self-Dual
Model
|
6 pages, Latex
|
Phys.Rev. D52 (1995) 3750-3752
|
10.1103/PhysRevD.52.3750
|
HD-THEP-95-13
|
hep-th
| null |
We study the connection between the Green functions of the
Maxwell-Chern-Simons theory and a self-dual model by starting from the
phase-space path integral representation of the Deser-Jackiw master Lagrangian.
Their equivalence is established modulo time-ordering ambiguities.
|
[
{
"created": "Wed, 12 Apr 1995 12:19:54 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Banerjee",
"R.",
""
],
[
"Rothe",
"H. J.",
""
],
[
"Rothe",
"K. D.",
""
]
] |
We study the connection between the Green functions of the Maxwell-Chern-Simons theory and a self-dual model by starting from the phase-space path integral representation of the Deser-Jackiw master Lagrangian. Their equivalence is established modulo time-ordering ambiguities.
|
hep-th/9407101
|
Janna Levin
|
Janna Levin
|
Kinetic Inflation in Stringy and Other Cosmologies
|
26 pages, LaTeX, CITA-94-25
|
Phys.Rev.D51:1536-1545,1995
|
10.1103/PhysRevD.51.1536
| null |
hep-th astro-ph gr-qc
| null |
An inflationary epoch driven by the kinetic energy density in a dynamical
Planck mass is studied. In the conformally related Einstein frame it is easiest
to see the demands of successful inflation cannot be satisfied by kinetic
inflation alone. Viewed in the original Jordan-Brans-Dicke frame, the obstacle
is manifest as a kind of graceful exit problem and/or a kind of flatness
problem. These arguments indicate the weakness of only the simplest
formulation. {}From them can be gleaned directions toward successful kinetic
inflation.
|
[
{
"created": "Sun, 17 Jul 1994 17:09:07 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"Levin",
"Janna",
""
]
] |
An inflationary epoch driven by the kinetic energy density in a dynamical Planck mass is studied. In the conformally related Einstein frame it is easiest to see the demands of successful inflation cannot be satisfied by kinetic inflation alone. Viewed in the original Jordan-Brans-Dicke frame, the obstacle is manifest as a kind of graceful exit problem and/or a kind of flatness problem. These arguments indicate the weakness of only the simplest formulation. {}From them can be gleaned directions toward successful kinetic inflation.
|
2303.00812
|
Lorenzo Iorio
|
Lorenzo Iorio, Athul P. Girija, Daniele Durante
|
One EURO for Uranus: the Elliptical Uranian Relativity Orbiter mission
|
LaTex2e, 40 pages, 7 figures, no tables. Minor revisions. Accepted in
Monthly Notices of the Royal Astronomical Society
|
Mon.Not.Roy.Astron.Soc.523:3595-3614,2023
|
10.1093/mnras/stad1446
| null |
gr-qc astro-ph.EP astro-ph.IM physics.space-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recent years have seen increasing interest in sending a mission to Uranus,
visited so far only by Voyager 2 in 1986. EURO (Elliptical Uranian Relativity
Orbiter) is a preliminary mission concept investigating the possibility of
dynamically measuring the planet's angular momentum by means of the
Lense-Thirring effect affecting a putative Uranian orbiter. It is possible, at
least in principle, to separate the relativistic precessions of the orbital
inclination to the Celestial Equator and of the longitude of the ascending node
of the spacecraft from its classical rates of the pericentre induced by the
multipoles of the planet's gravity field by adopting an appropriate orbital
configuration. For a wide and elliptical $2\,000\times 100\,000\,\mathrm{km}$
orbit, the gravitomagnetic signatures amount to tens of milliarcseconds per
year, while, for a suitable choice of the initial conditions, the peak-to-peak
amplitude of the range-rate shift can reach the level of $\simeq 1.5\times
10^{-3}$ millimetre per second in a single pericentre passage of a few hours.
By lowering the apocentre height to $10\,000\,\mathrm{km}$, the Lense-Thirring
precessions are enhanced to the level of hundreds of milliarcseconds per year.
The uncertainties in the orientation of the planetary spin axis and in the
inclination are major sources of systematic bias; it turns out that they should
be determined with accuracies as good as $\simeq 0.1-1$ and $\simeq 1-10$
milliarcseconds, respectively.
|
[
{
"created": "Wed, 1 Mar 2023 20:28:17 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Apr 2023 16:07:42 GMT",
"version": "v2"
},
{
"created": "Thu, 11 May 2023 11:40:35 GMT",
"version": "v3"
}
] |
2023-06-16
|
[
[
"Iorio",
"Lorenzo",
""
],
[
"Girija",
"Athul P.",
""
],
[
"Durante",
"Daniele",
""
]
] |
Recent years have seen increasing interest in sending a mission to Uranus, visited so far only by Voyager 2 in 1986. EURO (Elliptical Uranian Relativity Orbiter) is a preliminary mission concept investigating the possibility of dynamically measuring the planet's angular momentum by means of the Lense-Thirring effect affecting a putative Uranian orbiter. It is possible, at least in principle, to separate the relativistic precessions of the orbital inclination to the Celestial Equator and of the longitude of the ascending node of the spacecraft from its classical rates of the pericentre induced by the multipoles of the planet's gravity field by adopting an appropriate orbital configuration. For a wide and elliptical $2\,000\times 100\,000\,\mathrm{km}$ orbit, the gravitomagnetic signatures amount to tens of milliarcseconds per year, while, for a suitable choice of the initial conditions, the peak-to-peak amplitude of the range-rate shift can reach the level of $\simeq 1.5\times 10^{-3}$ millimetre per second in a single pericentre passage of a few hours. By lowering the apocentre height to $10\,000\,\mathrm{km}$, the Lense-Thirring precessions are enhanced to the level of hundreds of milliarcseconds per year. The uncertainties in the orientation of the planetary spin axis and in the inclination are major sources of systematic bias; it turns out that they should be determined with accuracies as good as $\simeq 0.1-1$ and $\simeq 1-10$ milliarcseconds, respectively.
|
1910.00453
|
Severin L\"ust
|
Alex Kehagias, Dieter Lust, Severin L\"ust
|
Swampland, Gradient Flow and Infinite Distance
|
36 pages; v2: references added; v3: version to appear in JHEP
| null |
10.1007/JHEP04(2020)170
|
MPP-2019-198, LMU-ASC 32/19, IPhT-T19/133, CPHT-RR055.092019
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the first part of this paper we will work out a close and so far not yet
noticed correspondence between the swampland approach in quantum gravity and
geometric flow equations in general relativity, most notably the Ricci flow. We
conjecture that following the gradient flow towards a fixed point, which is at
infinite distance in the space of background metrics, is accompanied by an
infinite tower of states in quantum gravity. In case of the Ricci flow, this
conjecture is in accordance with the generalized distance and AdS distance
conjectures, which were recently discussed in the literature, but it should
also hold for more general background spaces. We argue that the entropy
functionals of gradient flows provide a useful definition of the generalized
distance in the space of background fields. In particular we give evidence that
for the Ricci flow the distance $\Delta$ can be defined in terms of the mean
scalar curvature of the manifold, $\Delta\sim\log \bar R$. For a more general
gradient flow, the distance functional also depends on the string coupling
constant.
In the second part of the paper we will apply the generalized distance
conjecture to gravity theories with higher curvature interactions, like higher
derivative $R^2$ and $W^2$ terms. We will show that going to the weak coupling
limit of the higher derivative terms corresponds to the infinite distance limit
in metric space and hence this limit must be accompanied by an infinite tower
of light states. For the case of the $R^2$ or $W^2$ couplings, this limit
corresponds to the limit of a small cosmological constant or, respectively, to
a light additional spin-two field in gravity. In general we see that the limit
of small higher curvature couplings belongs to the swampland in quantum
gravity, just like the limit of a small $U(1)$ gauge coupling belongs to the
swampland as well.
|
[
{
"created": "Tue, 1 Oct 2019 14:39:42 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Oct 2019 09:10:14 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Apr 2020 15:23:36 GMT",
"version": "v3"
}
] |
2020-05-20
|
[
[
"Kehagias",
"Alex",
""
],
[
"Lust",
"Dieter",
""
],
[
"Lüst",
"Severin",
""
]
] |
In the first part of this paper we will work out a close and so far not yet noticed correspondence between the swampland approach in quantum gravity and geometric flow equations in general relativity, most notably the Ricci flow. We conjecture that following the gradient flow towards a fixed point, which is at infinite distance in the space of background metrics, is accompanied by an infinite tower of states in quantum gravity. In case of the Ricci flow, this conjecture is in accordance with the generalized distance and AdS distance conjectures, which were recently discussed in the literature, but it should also hold for more general background spaces. We argue that the entropy functionals of gradient flows provide a useful definition of the generalized distance in the space of background fields. In particular we give evidence that for the Ricci flow the distance $\Delta$ can be defined in terms of the mean scalar curvature of the manifold, $\Delta\sim\log \bar R$. For a more general gradient flow, the distance functional also depends on the string coupling constant. In the second part of the paper we will apply the generalized distance conjecture to gravity theories with higher curvature interactions, like higher derivative $R^2$ and $W^2$ terms. We will show that going to the weak coupling limit of the higher derivative terms corresponds to the infinite distance limit in metric space and hence this limit must be accompanied by an infinite tower of light states. For the case of the $R^2$ or $W^2$ couplings, this limit corresponds to the limit of a small cosmological constant or, respectively, to a light additional spin-two field in gravity. In general we see that the limit of small higher curvature couplings belongs to the swampland in quantum gravity, just like the limit of a small $U(1)$ gauge coupling belongs to the swampland as well.
|
1610.05357
|
Jay Tasson
|
Jay D. Tasson
|
The Standard-Model Extension and Gravitational Tests
|
Review of SME-gravity results plus new constraints, 16 pages, 5
figures, accepted for publication in Symmetry
| null | null | null |
gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Standard-Model Extension (SME) provides a comprehensive effective
field-theory framework for the study of CPT and Lorentz symmetry. This work
reviews the structure and philosophy of the SME and provides some intuitive
examples of symmetry violation. The results of recent gravitational tests
performed within the SME are summarized including analysis of results from the
Laser Interferometer Gravitational-Wave Observatory (LIGO), sensitivities
achieved in short-range gravity experiments, constraints from cosmic-ray data,
and results achieved by studying planetary ephemerids. Some proposals and
ongoing efforts will also be considered including gravimeter tests, tests of
the Weak Equivalence Principle, and antimatter experiments. Our review of the
above topics is augmented by several original extensions of the relevant work.
We present new examples of symmetry violation in the SME and use the cosmic-ray
analysis to place first-ever constraints on 81 additional operators.
|
[
{
"created": "Tue, 11 Oct 2016 15:48:35 GMT",
"version": "v1"
}
] |
2016-10-19
|
[
[
"Tasson",
"Jay D.",
""
]
] |
The Standard-Model Extension (SME) provides a comprehensive effective field-theory framework for the study of CPT and Lorentz symmetry. This work reviews the structure and philosophy of the SME and provides some intuitive examples of symmetry violation. The results of recent gravitational tests performed within the SME are summarized including analysis of results from the Laser Interferometer Gravitational-Wave Observatory (LIGO), sensitivities achieved in short-range gravity experiments, constraints from cosmic-ray data, and results achieved by studying planetary ephemerids. Some proposals and ongoing efforts will also be considered including gravimeter tests, tests of the Weak Equivalence Principle, and antimatter experiments. Our review of the above topics is augmented by several original extensions of the relevant work. We present new examples of symmetry violation in the SME and use the cosmic-ray analysis to place first-ever constraints on 81 additional operators.
|
hep-th/0010044
|
Igor Bandos
|
Igor Bandos, Tatyana Bandos
|
Lorentz harmonics and superfield action. D=10, N=1 superstring
|
23 pages, latex, no figures. V.2, minor corrections, a reference
added
|
Class.Quant.Grav. 18 (2001) 1907-1928
|
10.1088/0264-9381/18/10/307
|
FTUV-00-1005
|
hep-th
| null |
We propose a new version of the superfield action for a closed D=10, N=1
superstring where the Lorentz harmonics are used as auxiliary superfields. The
incorporation of Lorentz harmonics into the superfield action makes possible to
obtain superfield constraints of the induced worldsheet supergravity as
equations of motion. Moreover, it becomes evident that a so-called 'Wess-Zumino
part' of the superfield action is basically a Lagrangian form of the
generalized action principle. We propose to use the second Noether theorem to
handle the essential terms in the transformation lows of hidden gauge
symmetries, which remove dynamical degrees of freedom from the Lagrange
multiplier superfield.
|
[
{
"created": "Fri, 6 Oct 2000 15:08:43 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Nov 2000 10:00:13 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Bandos",
"Igor",
""
],
[
"Bandos",
"Tatyana",
""
]
] |
We propose a new version of the superfield action for a closed D=10, N=1 superstring where the Lorentz harmonics are used as auxiliary superfields. The incorporation of Lorentz harmonics into the superfield action makes possible to obtain superfield constraints of the induced worldsheet supergravity as equations of motion. Moreover, it becomes evident that a so-called 'Wess-Zumino part' of the superfield action is basically a Lagrangian form of the generalized action principle. We propose to use the second Noether theorem to handle the essential terms in the transformation lows of hidden gauge symmetries, which remove dynamical degrees of freedom from the Lagrange multiplier superfield.
|
0803.0648
|
Istv\'an R\'acz
|
Istv\'an R\'acz
|
Space-time extensions II
|
42 pages, no figures, small changes to match the published version
|
Class.Quant.Grav.27:155007,2010
|
10.1088/0264-9381/27/15/155007
| null |
gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The global extendibility of smooth causal geodesically incomplete spacetimes
is investigated. Denote by $\gamma$ one of the incomplete non-extendible causal
geodesics of a causal geodesically incomplete spacetime $(M,g_{ab})$. First, it
is shown that it is always possible to select a synchronised family of causal
geodesics $\Gamma$ and an open neighbourhood $\mathcal{U}$ of a final segment
of $\gamma$ in $M$ such that $\mathcal{U}$ is comprised by members of $\Gamma$,
and suitable local coordinates can be defined everywhere on $\mathcal{U}$
provided that $\gamma$ does not terminate either on a tidal force tensor
singularity or on a topological singularity. It is also shown that if, in
addition, the spacetime, $(M,g_{ab})$, is globally hyperbolic, and the
components of the curvature tensor, and its covariant derivatives up to order
$k-1$ are bounded on $\mathcal{U}$, and also the line integrals of the
components of the $k^{th}$-order covariant derivatives are finite along the
members of $\Gamma$---where all the components are meant to be registered with
respect to a synchronised frame field on $\mathcal{U}$---then there exists a
$C^{k-}$ extension $\Phi: (M,g_{ab}) \rightarrow
(\widehat{M},\widehat{g}_{ab})$ so that for each $\bar\gamma\in\Gamma$, which
is inextendible in $(M,g_{ab})$, the image, $\Phi\circ\bar\gamma$, is
extendible in $(\widehat{M},\widehat{g}_{ab})$. Finally, it is also proved that
whenever $\gamma$ does terminate on a topological singularity $(M,g_{ab})$
cannot be generic.
|
[
{
"created": "Wed, 5 Mar 2008 12:55:12 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Jun 2010 22:02:23 GMT",
"version": "v2"
}
] |
2010-06-29
|
[
[
"Rácz",
"István",
""
]
] |
The global extendibility of smooth causal geodesically incomplete spacetimes is investigated. Denote by $\gamma$ one of the incomplete non-extendible causal geodesics of a causal geodesically incomplete spacetime $(M,g_{ab})$. First, it is shown that it is always possible to select a synchronised family of causal geodesics $\Gamma$ and an open neighbourhood $\mathcal{U}$ of a final segment of $\gamma$ in $M$ such that $\mathcal{U}$ is comprised by members of $\Gamma$, and suitable local coordinates can be defined everywhere on $\mathcal{U}$ provided that $\gamma$ does not terminate either on a tidal force tensor singularity or on a topological singularity. It is also shown that if, in addition, the spacetime, $(M,g_{ab})$, is globally hyperbolic, and the components of the curvature tensor, and its covariant derivatives up to order $k-1$ are bounded on $\mathcal{U}$, and also the line integrals of the components of the $k^{th}$-order covariant derivatives are finite along the members of $\Gamma$---where all the components are meant to be registered with respect to a synchronised frame field on $\mathcal{U}$---then there exists a $C^{k-}$ extension $\Phi: (M,g_{ab}) \rightarrow (\widehat{M},\widehat{g}_{ab})$ so that for each $\bar\gamma\in\Gamma$, which is inextendible in $(M,g_{ab})$, the image, $\Phi\circ\bar\gamma$, is extendible in $(\widehat{M},\widehat{g}_{ab})$. Finally, it is also proved that whenever $\gamma$ does terminate on a topological singularity $(M,g_{ab})$ cannot be generic.
|
1001.2535
|
Pierre Vanhove
|
Michael B. Green, Jorge G. Russo, Pierre Vanhove
|
Automorphic properties of low energy string amplitudes in various
dimensions
|
80 pages. 1 figure. v2:Typos corrected, footnotes amended and small
clarifications. v3: minor corrections. Version to appear in Phys Rev D
|
Phys.Rev.D81:086008,2010
|
10.1103/PhysRevD.81.086008
|
DAMTP-2010-1, IPHT-T-10/001, IHES/P/10/01, ICCUB-10-002
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper explores the moduli-dependent coefficients of higher derivative
interactions that appear in the low-energy expansion of the four-graviton
amplitude of maximally supersymmetric string theory compactified on a d-torus.
These automorphic functions are determined for terms up to order D^6R^4 and
various values of d by imposing a variety of consistency conditions. They
satisfy Laplace eigenvalue equations with or without source terms, whose
solutions are given in terms of Eisenstein series, or more general automorphic
functions, for certain parabolic subgroups of the relevant U-duality groups.
The ultraviolet divergences of the corresponding supergravity field theory
limits are encoded in various logarithms, although the string theory
expressions are finite. This analysis includes intriguing representations of
SL(d) and SO(d,d) Eisenstein series in terms of toroidally compactified one and
two-loop string and supergravity amplitudes.
|
[
{
"created": "Thu, 14 Jan 2010 19:28:50 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Feb 2010 18:45:56 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Apr 2010 19:40:12 GMT",
"version": "v3"
}
] |
2015-03-13
|
[
[
"Green",
"Michael B.",
""
],
[
"Russo",
"Jorge G.",
""
],
[
"Vanhove",
"Pierre",
""
]
] |
This paper explores the moduli-dependent coefficients of higher derivative interactions that appear in the low-energy expansion of the four-graviton amplitude of maximally supersymmetric string theory compactified on a d-torus. These automorphic functions are determined for terms up to order D^6R^4 and various values of d by imposing a variety of consistency conditions. They satisfy Laplace eigenvalue equations with or without source terms, whose solutions are given in terms of Eisenstein series, or more general automorphic functions, for certain parabolic subgroups of the relevant U-duality groups. The ultraviolet divergences of the corresponding supergravity field theory limits are encoded in various logarithms, although the string theory expressions are finite. This analysis includes intriguing representations of SL(d) and SO(d,d) Eisenstein series in terms of toroidally compactified one and two-loop string and supergravity amplitudes.
|
2010.10544
|
Avner Karasik
|
Avner Karasik
|
Vector dominance, one flavored baryons, and QCD domain walls from the
"hidden" Wess-Zumino term
| null |
SciPost Phys. 10, 138 (2021)
|
10.21468/SciPostPhys.10.6.138
| null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We further explore a recent proposal that the vector mesons in QCD have a
special role as Chern-Simons fields on various QCD objects such as domain walls
and the one flavored baryons. We compute contributions to domain wall theories
and to the baryon current coming from a generalized Wess-Zumino term including
vector mesons. The conditions that lead to the expected Chern-Simons terms and
the correct spectrum of baryons, coincide with the conditions for vector meson
dominance. This observation provides a theoretical explanation to the
phenomenological principle of vector dominance, as well as an experimental
evidence for the identification of vector mesons as the Chern-Simons fields. By
deriving the Chern-Simons theories directly from an action, we obtain new
results about QCD domain walls. One conclusion is the existence of a first
order phase transition between domain walls as a function of the quarks'
masses. We also discuss applications of our results to Seiberg duality between
gluons and vector mesons and provide new evidence supporting the duality.
|
[
{
"created": "Tue, 20 Oct 2020 18:00:15 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Dec 2020 16:45:51 GMT",
"version": "v2"
}
] |
2022-01-11
|
[
[
"Karasik",
"Avner",
""
]
] |
We further explore a recent proposal that the vector mesons in QCD have a special role as Chern-Simons fields on various QCD objects such as domain walls and the one flavored baryons. We compute contributions to domain wall theories and to the baryon current coming from a generalized Wess-Zumino term including vector mesons. The conditions that lead to the expected Chern-Simons terms and the correct spectrum of baryons, coincide with the conditions for vector meson dominance. This observation provides a theoretical explanation to the phenomenological principle of vector dominance, as well as an experimental evidence for the identification of vector mesons as the Chern-Simons fields. By deriving the Chern-Simons theories directly from an action, we obtain new results about QCD domain walls. One conclusion is the existence of a first order phase transition between domain walls as a function of the quarks' masses. We also discuss applications of our results to Seiberg duality between gluons and vector mesons and provide new evidence supporting the duality.
|
1301.5161
|
Gilberto Medeiros Kremer
|
Rudinei C. de Souza and Gilberto M. Kremer
|
Conformal coupling associated with the Noether symmetry and its
connection with the $\Lambda$CDM dynamics
|
12 pages. Version accepted for publication in CQG
|
Class. Quantum Grav. 30 (2013) 175011
|
10.1088/0264-9381/30/17/175011
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The aim of the present work is to investigate a non-minimally coupled scalar
field model through the Noether symmetry approach, with the radiation, matter
and cosmological constant eras being analyzed. The Noether symmetry condition
allows a conformal coupling and by means of a change of coordinates in the
configuration space the field equations can be reduced to a single equation,
which is of the form of the Friedmann equation for the $\Lambda$CDM model. In
this way, it is formally shown that the dynamical system can furnish solutions
with the same form as those of the $\Lambda$CDM model, although the theory here
considered is physically different from the former. The conserved quantity
associated with the Noether symmetry can be related to the kinetic term of the
scalar field and could constrain the possible deviations of the model from the
$\Lambda$CDM picture. Observational constraints on the variation of the
gravitational constant can be imposed on the model through the initial
condition of the scalar field.
|
[
{
"created": "Tue, 22 Jan 2013 12:04:58 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Oct 2013 08:13:02 GMT",
"version": "v2"
}
] |
2013-10-15
|
[
[
"de Souza",
"Rudinei C.",
""
],
[
"Kremer",
"Gilberto M.",
""
]
] |
The aim of the present work is to investigate a non-minimally coupled scalar field model through the Noether symmetry approach, with the radiation, matter and cosmological constant eras being analyzed. The Noether symmetry condition allows a conformal coupling and by means of a change of coordinates in the configuration space the field equations can be reduced to a single equation, which is of the form of the Friedmann equation for the $\Lambda$CDM model. In this way, it is formally shown that the dynamical system can furnish solutions with the same form as those of the $\Lambda$CDM model, although the theory here considered is physically different from the former. The conserved quantity associated with the Noether symmetry can be related to the kinetic term of the scalar field and could constrain the possible deviations of the model from the $\Lambda$CDM picture. Observational constraints on the variation of the gravitational constant can be imposed on the model through the initial condition of the scalar field.
|
hep-th/0004062
|
Corneliu Sochichiu
|
C. Sochichiu
|
M[any] Vacua of IIB
|
17 pages, Virasoro algebra explicitely given, LaTeX style change,
minor text changes
|
JHEP 0005 (2000) 026
|
10.1088/1126-6708/2000/05/026
| null |
hep-th gr-qc hep-lat
| null |
Description of the spectrum of fluctuations around a commutative vacuum
solution, as well as around a solution with degenerate commutator in IIB matrix
model is given in terms of supersymmetric Yang-Mills (YM) model. We construct
explicitly the map from Hermitian matrices to YM fields and study the
dependence of the spectrum and respective YM model on the symmetries of the
solution. The gauge algebra of the YM model is shown to contain local
reparameterisation algebra as well as Virasoro one.
|
[
{
"created": "Mon, 10 Apr 2000 14:57:32 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Apr 2000 06:34:55 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Sochichiu",
"C.",
""
]
] |
Description of the spectrum of fluctuations around a commutative vacuum solution, as well as around a solution with degenerate commutator in IIB matrix model is given in terms of supersymmetric Yang-Mills (YM) model. We construct explicitly the map from Hermitian matrices to YM fields and study the dependence of the spectrum and respective YM model on the symmetries of the solution. The gauge algebra of the YM model is shown to contain local reparameterisation algebra as well as Virasoro one.
|
1011.0699
|
Myron Bander
|
Myron Bander
|
Anomaly breaking of de Sitter symmetry
|
6 pages
| null | null |
UCI-TR-2010-27
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
To one loop order, interacting boson fields on de Sitter space have an
"infrared" anomaly that breaks the de Sitter symmetry for all vacua save the
Euclidian one. The divergence of a symmetry current at point $x$ has a non-zero
contribution at the antipodal point ${\bar x}$.
|
[
{
"created": "Tue, 2 Nov 2010 18:43:01 GMT",
"version": "v1"
}
] |
2010-11-03
|
[
[
"Bander",
"Myron",
""
]
] |
To one loop order, interacting boson fields on de Sitter space have an "infrared" anomaly that breaks the de Sitter symmetry for all vacua save the Euclidian one. The divergence of a symmetry current at point $x$ has a non-zero contribution at the antipodal point ${\bar x}$.
|
1809.10975
|
Aninda Sinha
|
Rajesh Gopakumar and Aninda Sinha
|
On the Polyakov-Mellin bootstrap
|
37 pages, v2: version to appear in JHEP
| null |
10.1007/JHEP12(2018)040
| null |
hep-th cond-mat.stat-mech hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We elaborate on some general aspects of the crossing symmetric approach of
Polyakov to the conformal bootstrap, as recently formulated in Mellin space.
This approach uses, as building blocks, Witten diagrams in AdS. We show the
necessity for having contact Witten diagrams, in addition to the exchange ones,
in two different contexts: a) the large $c$ expansion of the holographic
bootstrap b) in the $\epsilon$ expansion at subleading orders to the ones
studied already. In doing so, we use alternate simplified representations of
the Witten diagrams in Mellin space. This enables us to also obtain compact,
explicit expressions (in terms of a ${}_7F_6$ hypergeometric function!) for the
analogue of the crossing kernel for Witten diagrams i.e., the decomposition
into $s$-channel partial waves of crossed channel exchange diagrams.
|
[
{
"created": "Fri, 28 Sep 2018 12:00:50 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Dec 2018 08:23:32 GMT",
"version": "v2"
}
] |
2018-12-26
|
[
[
"Gopakumar",
"Rajesh",
""
],
[
"Sinha",
"Aninda",
""
]
] |
We elaborate on some general aspects of the crossing symmetric approach of Polyakov to the conformal bootstrap, as recently formulated in Mellin space. This approach uses, as building blocks, Witten diagrams in AdS. We show the necessity for having contact Witten diagrams, in addition to the exchange ones, in two different contexts: a) the large $c$ expansion of the holographic bootstrap b) in the $\epsilon$ expansion at subleading orders to the ones studied already. In doing so, we use alternate simplified representations of the Witten diagrams in Mellin space. This enables us to also obtain compact, explicit expressions (in terms of a ${}_7F_6$ hypergeometric function!) for the analogue of the crossing kernel for Witten diagrams i.e., the decomposition into $s$-channel partial waves of crossed channel exchange diagrams.
|
0805.0388
|
Charles B. Thorn
|
Charles M. Sommerfield and Charles B. Thorn
|
Classical Worldsheets for String Scattering on Flat and AdS Spacetime
|
26 pages, 19 figures, corrected typos, added reference
|
Phys.Rev.D78:046005,2008
|
10.1103/PhysRevD.78.046005
|
UFIFT-HEP-08-6
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a study of the worldsheets that describe the classical limit of
various string scattering processes. Our main focus is on string scattering in
AdS spacetime because of its relation via the AdS/CFT correspondence to gluon
scattering in {\cal N}=4 supersymmetric Yang-Mills theory. But we also consider
analogous processes in flat Minkowski spacetime which we compare to the AdS
case. In addition to scattering of string by string we also find and study
worldsheets describing the scattering of a string by external sources.
|
[
{
"created": "Sun, 4 May 2008 02:44:53 GMT",
"version": "v1"
},
{
"created": "Wed, 21 May 2008 19:15:55 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Sommerfield",
"Charles M.",
""
],
[
"Thorn",
"Charles B.",
""
]
] |
We present a study of the worldsheets that describe the classical limit of various string scattering processes. Our main focus is on string scattering in AdS spacetime because of its relation via the AdS/CFT correspondence to gluon scattering in {\cal N}=4 supersymmetric Yang-Mills theory. But we also consider analogous processes in flat Minkowski spacetime which we compare to the AdS case. In addition to scattering of string by string we also find and study worldsheets describing the scattering of a string by external sources.
|
hep-th/0509128
|
Julien Grain
|
J. Grain, A. Barrau, P. Kanti
|
Exact Results for Evaporating Black Holes in Curvature-Squared Lovelock
Gravity: Gauss-Bonnet Greybody Factors
|
29 pages, Latex file, 11 figures, Data files (greybody factors)
available at http://lpsc.in2p3.fr/ams/greybody/, typos corrected, references
added, version to appear in Phys. Rev. D
|
Phys.Rev.D72:104016,2005
|
10.1103/PhysRevD.72.104016
|
DCPT-05/41
|
hep-th astro-ph gr-qc hep-ph
| null |
Lovelock gravity is an important extension of General Relativity that
provides a promising framework to study curvature corrections to the Einstein
action, while avoiding ghosts and keeping second order field equations. This
paper derives the greybody factors for D-dimensional black holes arising in a
theory with a Gauss-Bonnet curvature-squared term. These factors describe the
non-trivial coupling between black holes and quantum fields during the
evaporation process: they can be used both from a theoretical viewpoint to
investigate the intricate spacetime structure around such a black hole, and for
phenomenological purposes in the framework of braneworld models with a low
Planck scale. We derive exact spectra for the emission of scalar, fermion and
gauge fields emitted on the brane, and for scalar fields emitted in the bulk,
and demonstrate how the Gauss-Bonnet term can change the bulk-to-brane emission
rates ratio in favour of the bulk channel in particular frequency regimes.
|
[
{
"created": "Fri, 16 Sep 2005 10:24:42 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Nov 2005 10:27:09 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Grain",
"J.",
""
],
[
"Barrau",
"A.",
""
],
[
"Kanti",
"P.",
""
]
] |
Lovelock gravity is an important extension of General Relativity that provides a promising framework to study curvature corrections to the Einstein action, while avoiding ghosts and keeping second order field equations. This paper derives the greybody factors for D-dimensional black holes arising in a theory with a Gauss-Bonnet curvature-squared term. These factors describe the non-trivial coupling between black holes and quantum fields during the evaporation process: they can be used both from a theoretical viewpoint to investigate the intricate spacetime structure around such a black hole, and for phenomenological purposes in the framework of braneworld models with a low Planck scale. We derive exact spectra for the emission of scalar, fermion and gauge fields emitted on the brane, and for scalar fields emitted in the bulk, and demonstrate how the Gauss-Bonnet term can change the bulk-to-brane emission rates ratio in favour of the bulk channel in particular frequency regimes.
|
1807.07494
|
Robert Brandenberger
|
Robert Brandenberger, Leila L. Graef, Giovanni Marozzi, Gian Paolo
Vacca
|
Back-Reaction of Super-Hubble Cosmological Perturbations Beyond
Perturbation Theory
|
9 pages
|
Phys. Rev. D 98, 103523 (2018)
|
10.1103/PhysRevD.98.103523
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the effect of super-Hubble cosmological fluctuations on the
locally measured Hubble expansion rate. We consider a large bare cosmological
constant in the early universe in the presence of scalar field matter (the
dominant matter component), which would lead to a scale-invariant primordial
spectrum of cosmological fluctuations. Using the leading order gradient
expansion we show that the expansion rate measured by a (secondary) clock field
which is not comoving with the dominant matter component obtains a negative
contribution from infrared fluctuations, a contribution whose absolute value
increases in time. This is the same effect which a decreasing cosmological
constant would produce. This supports the conclusion that infrared fluctuations
lead to a dynamical relaxation of the cosmological constant. Our analysis does
not make use of any perturbative expansion in the amplitude of the
inhomogeneities.
|
[
{
"created": "Thu, 19 Jul 2018 15:30:04 GMT",
"version": "v1"
}
] |
2018-11-28
|
[
[
"Brandenberger",
"Robert",
""
],
[
"Graef",
"Leila L.",
""
],
[
"Marozzi",
"Giovanni",
""
],
[
"Vacca",
"Gian Paolo",
""
]
] |
We discuss the effect of super-Hubble cosmological fluctuations on the locally measured Hubble expansion rate. We consider a large bare cosmological constant in the early universe in the presence of scalar field matter (the dominant matter component), which would lead to a scale-invariant primordial spectrum of cosmological fluctuations. Using the leading order gradient expansion we show that the expansion rate measured by a (secondary) clock field which is not comoving with the dominant matter component obtains a negative contribution from infrared fluctuations, a contribution whose absolute value increases in time. This is the same effect which a decreasing cosmological constant would produce. This supports the conclusion that infrared fluctuations lead to a dynamical relaxation of the cosmological constant. Our analysis does not make use of any perturbative expansion in the amplitude of the inhomogeneities.
|
1607.03523
|
Elias Okon
|
Gabriel Le\'on, Abhishek Majhi, Elias Okon and Daniel Sudarsky
|
Reassessing the link between B-modes and inflation
|
Accepted for publication in PRD
|
Phys. Rev. D 96, 101301 (2017)
|
10.1103/PhysRevD.96.101301
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We reevaluate the predictions of inflation regarding primordial gravity
waves, which should appear as B-modes in the CMB, in light of the fact that the
standard inflationary paradigm is unable to account for the transition from an
initially symmetric state into a non-symmetric outcome. We show that the
incorporation of an element capable of explaining such a transition
dramatically alters the prediction for the shape and size of the B-mode
spectrum. In particular, we find that by adapting a realistic objective
collapse model to the situation at hand, the B-mode spectrum gets strongly
suppressed with respect to the standard prediction. We conclude that the
failure to detect B-modes in the CMB does not rule-out the simplest
inflationary models.
|
[
{
"created": "Tue, 12 Jul 2016 21:31:15 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Aug 2016 17:17:40 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Apr 2017 15:56:23 GMT",
"version": "v3"
},
{
"created": "Wed, 1 Nov 2017 20:19:36 GMT",
"version": "v4"
}
] |
2017-11-22
|
[
[
"León",
"Gabriel",
""
],
[
"Majhi",
"Abhishek",
""
],
[
"Okon",
"Elias",
""
],
[
"Sudarsky",
"Daniel",
""
]
] |
We reevaluate the predictions of inflation regarding primordial gravity waves, which should appear as B-modes in the CMB, in light of the fact that the standard inflationary paradigm is unable to account for the transition from an initially symmetric state into a non-symmetric outcome. We show that the incorporation of an element capable of explaining such a transition dramatically alters the prediction for the shape and size of the B-mode spectrum. In particular, we find that by adapting a realistic objective collapse model to the situation at hand, the B-mode spectrum gets strongly suppressed with respect to the standard prediction. We conclude that the failure to detect B-modes in the CMB does not rule-out the simplest inflationary models.
|
hep-th/0105010
|
Friedemann Brandt
|
Friedemann Brandt
|
Gauge theories of spacetime symmetries
|
8 pages, revtex; v2: minor improvements of text and formulas; v3:
typo in formula after eq. (35) corrected
|
Phys.Rev.D64:065025,2001
|
10.1103/PhysRevD.64.065025
|
MPI-MIS-23/2001, AEI-2001-039
|
hep-th gr-qc
| null |
Gauge theories of conformal spacetime symmetries are presented which merge
features of Yang-Mills theory and general relativity in a new way. The models
are local but nonpolynomial in the gauge fields, with a nonpolynomial structure
that can be elegantly written in terms of a metric (or vielbein) composed of
the gauge fields. General relativity itself emerges from the construction as a
gauge theory of spacetime translations. The role of the models within a general
classification of consistent interactions of gauge fields is discussed as well.
|
[
{
"created": "Wed, 2 May 2001 12:58:19 GMT",
"version": "v1"
},
{
"created": "Thu, 10 May 2001 14:53:12 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Sep 2001 16:10:38 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Brandt",
"Friedemann",
""
]
] |
Gauge theories of conformal spacetime symmetries are presented which merge features of Yang-Mills theory and general relativity in a new way. The models are local but nonpolynomial in the gauge fields, with a nonpolynomial structure that can be elegantly written in terms of a metric (or vielbein) composed of the gauge fields. General relativity itself emerges from the construction as a gauge theory of spacetime translations. The role of the models within a general classification of consistent interactions of gauge fields is discussed as well.
|
1709.05141
|
Reiko Toriumi
|
Joseph Ben Geloun, Reiko Toriumi
|
Renormalizable Enhanced Tensor Field Theory: The quartic melonic case
|
52 pages, 12 figures
| null |
10.1063/1.5022438
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Amplitudes of ordinary tensor models are dominated at large $N$ by the
so-called melonic graph amplitudes. Enhanced tensor models extend tensor models
with special scalings of their interactions which allow, in the same limit,
that the sub-dominant amplitudes to be "enhanced", that is to be as dominant as
the melonic ones. These models were introduced to explore new large $N$ limits
and to probe different phases for tensor models. Tensor field theory is the
quantum field theoretic counterpart of tensor models and enhanced tensor field
theory enlarges this theory space to accommodate enhanced tensor interactions.
We undertake the multi-scale renormalization analysis for two types of enhanced
quartic melonic theories with rank $d$ tensor fields $\phi: (U(1)^{D})^{d} \to
\mathbb{C}$ and with interactions of the form $p^{2a}\phi^4$ reminiscent of
derivative couplings expressed in momentum space. Scrutinizing the degree of
divergence of both theories, we identify generic conditions for their
renormalizability at all orders of perturbation. For a first type of theory, we
identify a 2-parameter space of just-renormalizable models for generic $(d,D)$.
These models have dominant non-melonic four-point functions. Finally, by
specifying the parameters, we detail the renormalization analysis of a second
type of model. Lying in between just- and super-renormalizability, that model
is more exotic: all four-point amplitudes are convergent, however it exhibits
an infinite family of divergent two-point amplitudes.
|
[
{
"created": "Fri, 15 Sep 2017 10:14:53 GMT",
"version": "v1"
}
] |
2018-12-26
|
[
[
"Geloun",
"Joseph Ben",
""
],
[
"Toriumi",
"Reiko",
""
]
] |
Amplitudes of ordinary tensor models are dominated at large $N$ by the so-called melonic graph amplitudes. Enhanced tensor models extend tensor models with special scalings of their interactions which allow, in the same limit, that the sub-dominant amplitudes to be "enhanced", that is to be as dominant as the melonic ones. These models were introduced to explore new large $N$ limits and to probe different phases for tensor models. Tensor field theory is the quantum field theoretic counterpart of tensor models and enhanced tensor field theory enlarges this theory space to accommodate enhanced tensor interactions. We undertake the multi-scale renormalization analysis for two types of enhanced quartic melonic theories with rank $d$ tensor fields $\phi: (U(1)^{D})^{d} \to \mathbb{C}$ and with interactions of the form $p^{2a}\phi^4$ reminiscent of derivative couplings expressed in momentum space. Scrutinizing the degree of divergence of both theories, we identify generic conditions for their renormalizability at all orders of perturbation. For a first type of theory, we identify a 2-parameter space of just-renormalizable models for generic $(d,D)$. These models have dominant non-melonic four-point functions. Finally, by specifying the parameters, we detail the renormalization analysis of a second type of model. Lying in between just- and super-renormalizability, that model is more exotic: all four-point amplitudes are convergent, however it exhibits an infinite family of divergent two-point amplitudes.
|
1806.09200
|
Rob Klabbers
|
Gleb Arutyunov, Rob Klabbers, Sergei Savin
|
Four-point functions of all-different-weight chiral primary operators in
the supergravity approximation
|
20+23 pages, 3 figures; v2: published version
| null |
10.1007/JHEP09(2018)023
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently a Mellin-space formula was conjectured for the form of correlation
functions of $1/2$ BPS operators in planar $\mathcal{N}=4$ SYM in the strong 't
Hooft coupling limit. In this work we report on the computation of two
previously unknown four-point functions of operators with weights $\langle 2345
\rangle$ and $\langle 3456\rangle$, from the effective type-IIB supergravity
action using AdS/CFT. These correlators are novel: they are the first
correlators with all-different weights and in particular $\langle 3456\rangle$
is the first next-next-next-to-extremal correlator to ever have been computed.
We also present simplifications of the known algorithm, without which these
computations could not have been executed without considerable computer power.
The main simplifications we found are present in the computation of the
exchange Lagrangian and in the computation of $a$ tensors. After bringing our
results in the appropriate form we successfully corroborate the recently
conjectured formula.
|
[
{
"created": "Sun, 24 Jun 2018 19:51:13 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Sep 2018 07:53:10 GMT",
"version": "v2"
}
] |
2018-09-17
|
[
[
"Arutyunov",
"Gleb",
""
],
[
"Klabbers",
"Rob",
""
],
[
"Savin",
"Sergei",
""
]
] |
Recently a Mellin-space formula was conjectured for the form of correlation functions of $1/2$ BPS operators in planar $\mathcal{N}=4$ SYM in the strong 't Hooft coupling limit. In this work we report on the computation of two previously unknown four-point functions of operators with weights $\langle 2345 \rangle$ and $\langle 3456\rangle$, from the effective type-IIB supergravity action using AdS/CFT. These correlators are novel: they are the first correlators with all-different weights and in particular $\langle 3456\rangle$ is the first next-next-next-to-extremal correlator to ever have been computed. We also present simplifications of the known algorithm, without which these computations could not have been executed without considerable computer power. The main simplifications we found are present in the computation of the exchange Lagrangian and in the computation of $a$ tensors. After bringing our results in the appropriate form we successfully corroborate the recently conjectured formula.
|
0804.1248
|
Eran Palti
|
Eran Palti, Gianmassimo Tasinato, John Ward
|
WEAKLY-coupled IIA Flux Compactifications
|
33 pages, 8 figures
|
JHEP 0806:084,2008
|
10.1088/1126-6708/2008/06/084
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study compactifications of type IIA string theory on Calabi-Yau manifolds
that are mirror to a subset of the type IIB LARGE-volume models. A combination
of flux, alpha' corrections and non-perturbative effects stabilises the moduli
in a non-supersymmetric AdS vacuum. This vacuum has the feature that the
(ten-dimensional) string coupling is exponentially small which can naturally
lead to a TeV supersymmetry breaking scale with an intermediate string scale.
The AdS vacuum can be uplifted to a dS one through the introduction of D6
branes, and complex-structure modular inflation can be realised.
|
[
{
"created": "Tue, 8 Apr 2008 11:48:54 GMT",
"version": "v1"
}
] |
2009-12-04
|
[
[
"Palti",
"Eran",
""
],
[
"Tasinato",
"Gianmassimo",
""
],
[
"Ward",
"John",
""
]
] |
We study compactifications of type IIA string theory on Calabi-Yau manifolds that are mirror to a subset of the type IIB LARGE-volume models. A combination of flux, alpha' corrections and non-perturbative effects stabilises the moduli in a non-supersymmetric AdS vacuum. This vacuum has the feature that the (ten-dimensional) string coupling is exponentially small which can naturally lead to a TeV supersymmetry breaking scale with an intermediate string scale. The AdS vacuum can be uplifted to a dS one through the introduction of D6 branes, and complex-structure modular inflation can be realised.
|
2008.13730
|
Suphakorn Chunlen
|
Suphakorn Chunlen, Phongsaphat Rangdee
|
Exploring the R\'enyi Holographic Dark Energy Model with the Future and
the Particle Horizons as the Infrared Cut-off
| null |
Phayao Research Conference 10 (2021) 2413-2423
| null | null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the R\'enyi holographic dark energy (RHDE) model by using the future
and the particle horizons as the infrared (IR) cut-off. With the initial
condition from the literature, most of the cosmological parameters are
computed. Some of the results agree with the observation that the present
universe is in accelerating expansion and in a phantom phase.
|
[
{
"created": "Mon, 31 Aug 2020 16:50:40 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Sep 2020 05:59:43 GMT",
"version": "v2"
},
{
"created": "Mon, 24 May 2021 12:07:56 GMT",
"version": "v3"
}
] |
2021-05-25
|
[
[
"Chunlen",
"Suphakorn",
""
],
[
"Rangdee",
"Phongsaphat",
""
]
] |
We study the R\'enyi holographic dark energy (RHDE) model by using the future and the particle horizons as the infrared (IR) cut-off. With the initial condition from the literature, most of the cosmological parameters are computed. Some of the results agree with the observation that the present universe is in accelerating expansion and in a phantom phase.
|
0805.3716
|
Samir Mathur
|
Samir D. Mathur
|
Tunneling into fuzzball states
|
7 pages, 2 figures, Latex
|
Gen.Rel.Grav.42:113-118,2010
|
10.1007/s10714-009-0837-3
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
String theory suggests that black hole microstates are quantum, horizon sized
`fuzzballs', rather than smooth geometries with horizon. Radiation from
fuzzballs can carry information and does not lead to information loss. But if
we let a shell of matter collapse then it creates a horizon, and it seems that
subsequent radiation will lead to information loss. We argue that the
resolution to this problem is that the shell can tunnel to the fuzzball
configurations. The amplitude for tunneling is small because we are relating
two macroscopically different configurations, but the number of states that we
can tunnel to, given through the Bekenstein entropy, is very large. These small
and large numbers can cancel each other, making it possible for the shell to
tunnel into fuzzball states before a significant amount of radiation has been
emitted. This offers a way to resolve the information paradox.
|
[
{
"created": "Fri, 23 May 2008 20:46:57 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Mathur",
"Samir D.",
""
]
] |
String theory suggests that black hole microstates are quantum, horizon sized `fuzzballs', rather than smooth geometries with horizon. Radiation from fuzzballs can carry information and does not lead to information loss. But if we let a shell of matter collapse then it creates a horizon, and it seems that subsequent radiation will lead to information loss. We argue that the resolution to this problem is that the shell can tunnel to the fuzzball configurations. The amplitude for tunneling is small because we are relating two macroscopically different configurations, but the number of states that we can tunnel to, given through the Bekenstein entropy, is very large. These small and large numbers can cancel each other, making it possible for the shell to tunnel into fuzzball states before a significant amount of radiation has been emitted. This offers a way to resolve the information paradox.
|
hep-th/0510166
|
Michael B. Green
|
Michael B. Green, Stefano Kovacs, Aninda Sinha
|
Non-Perturbative Contributions in the Plane-Wave/BMN Limit
|
Einstein Symposium, Bibliotecha Alexandrina, June 4--6 2005. 13 pages
| null | null |
DAMTP-2005-100; AEI-2005-158
|
hep-th
| null |
This talk surveys recent work on the contribution of instantons to the
anomalous dimensions of BMN operators in $\calN=4$ supersymmetric Yang--Mills
theory and the corresponding non-perturbative contributions to the mass-matrix
of excited string states in maximally supersymmetric plane-wave string theory.
The dependence on the coupling constants and the impurity mode numbers in the
gauge theory and string theory are in striking agreement.
[Presented by MBG at the Einstein Symposium, Bibliotecha Alexandrina, June
4--6 2005.]
|
[
{
"created": "Wed, 19 Oct 2005 19:44:24 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Green",
"Michael B.",
""
],
[
"Kovacs",
"Stefano",
""
],
[
"Sinha",
"Aninda",
""
]
] |
This talk surveys recent work on the contribution of instantons to the anomalous dimensions of BMN operators in $\calN=4$ supersymmetric Yang--Mills theory and the corresponding non-perturbative contributions to the mass-matrix of excited string states in maximally supersymmetric plane-wave string theory. The dependence on the coupling constants and the impurity mode numbers in the gauge theory and string theory are in striking agreement. [Presented by MBG at the Einstein Symposium, Bibliotecha Alexandrina, June 4--6 2005.]
|
hep-th/0408101
|
Andrew Mennim
|
Richard A. Battye, Andrew Mennim
|
Multiple-scales analysis of cosmological perturbations in brane-worlds
|
13 pages, Revtex
|
Phys.Rev.D70:124008,2004
|
10.1103/PhysRevD.70.124008
|
DAMTP-2004-81
|
hep-th
| null |
We present a new approximation method for solving the equations of motion for
cosmological tensor perturbations in a Randall-Sundrum brane-world model of the
type with one brane in a five-dimensional anti-de Sitter spacetime. This method
avoids the problem of coordinate singularities inherent in some methods. At
leading order, the zero-mode solution replicates the evolution of perturbations
in a four-dimensional Friedmann-Robertson-Walker universe in the absence of any
tensor component to the matter perturbation on the brane. At next order, there
is a mode-mixing effect, although, importantly, the zero-mode does not source
any other modes.
|
[
{
"created": "Thu, 12 Aug 2004 15:04:20 GMT",
"version": "v1"
}
] |
2010-05-12
|
[
[
"Battye",
"Richard A.",
""
],
[
"Mennim",
"Andrew",
""
]
] |
We present a new approximation method for solving the equations of motion for cosmological tensor perturbations in a Randall-Sundrum brane-world model of the type with one brane in a five-dimensional anti-de Sitter spacetime. This method avoids the problem of coordinate singularities inherent in some methods. At leading order, the zero-mode solution replicates the evolution of perturbations in a four-dimensional Friedmann-Robertson-Walker universe in the absence of any tensor component to the matter perturbation on the brane. At next order, there is a mode-mixing effect, although, importantly, the zero-mode does not source any other modes.
|
1606.04906
|
Antonio Enea Romano
|
Antonio Enea Romano, Sander Mooij, Misao Sasaki
|
Global adiabaticity and non-Gaussianity consistency condition
|
6 pages, references added, few more changes in the abstract, text and
notation
| null |
10.1016/j.physletb.2016.08.025
| null |
gr-qc astro-ph.CO hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the context of single-field inflation, the conservation of the curvature
perturbation on comoving slices, $\R_c$, on super-horizon scales is one of the
assumptions necessary to derive the consistency condition between the squeezed
limit of the bispectrum and the spectrum of the primordial curvature
perturbation. However, the conservation of $\R_c$ holds only after the
perturbation has reached the adiabatic limit where the constant mode of $\R_c$
dominates over the other (usually decaying) mode. In this case, the
non-adiabatic pressure perturbation defined in the thermodynamic sense, $\delta
P_{nad}\equiv\delta P-c_w^2\delta\rho$ where $c_w^2=\dot P/\dot\rho$, usually
becomes also negligible on superhorizon scales. Therefore one might think that
the adiabatic limit is the same as thermodynamic adiabaticity. This is in fact
not true. In other words, thermodynamic adiabaticity is not a sufficient
condition for the conservation of $\R_c$ on super-horizon scales. In this
paper, we consider models that satisfy $\delta P_{nad}=0$ on all scales, which
we call global adiabaticity (GA), which is guaranteed if $c_w^2=c_s^2$, where
$c_s$ is the phase velocity of the propagation of the perturbation. A known
example is the case of ultra-slow-roll(USR) inflation in which $c_w^2=c_s^2=1$.
In order to generalize USR we develop a method to find the Lagrangian of GA
K-inflation models from the behavior of background quantities as functions of
the scale factor. Applying this method we show that there indeed exists a wide
class of GA models with $c_w^2=c_s^2$, which allows $\R_c$ to grow on
superhorizon scales, and hence violates the non-Gaussianity consistency
condition.
|
[
{
"created": "Wed, 15 Jun 2016 18:56:19 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jun 2016 07:19:48 GMT",
"version": "v2"
}
] |
2018-04-27
|
[
[
"Romano",
"Antonio Enea",
""
],
[
"Mooij",
"Sander",
""
],
[
"Sasaki",
"Misao",
""
]
] |
In the context of single-field inflation, the conservation of the curvature perturbation on comoving slices, $\R_c$, on super-horizon scales is one of the assumptions necessary to derive the consistency condition between the squeezed limit of the bispectrum and the spectrum of the primordial curvature perturbation. However, the conservation of $\R_c$ holds only after the perturbation has reached the adiabatic limit where the constant mode of $\R_c$ dominates over the other (usually decaying) mode. In this case, the non-adiabatic pressure perturbation defined in the thermodynamic sense, $\delta P_{nad}\equiv\delta P-c_w^2\delta\rho$ where $c_w^2=\dot P/\dot\rho$, usually becomes also negligible on superhorizon scales. Therefore one might think that the adiabatic limit is the same as thermodynamic adiabaticity. This is in fact not true. In other words, thermodynamic adiabaticity is not a sufficient condition for the conservation of $\R_c$ on super-horizon scales. In this paper, we consider models that satisfy $\delta P_{nad}=0$ on all scales, which we call global adiabaticity (GA), which is guaranteed if $c_w^2=c_s^2$, where $c_s$ is the phase velocity of the propagation of the perturbation. A known example is the case of ultra-slow-roll(USR) inflation in which $c_w^2=c_s^2=1$. In order to generalize USR we develop a method to find the Lagrangian of GA K-inflation models from the behavior of background quantities as functions of the scale factor. Applying this method we show that there indeed exists a wide class of GA models with $c_w^2=c_s^2$, which allows $\R_c$ to grow on superhorizon scales, and hence violates the non-Gaussianity consistency condition.
|
1304.0382
|
Igor Bandos A.
|
Igor A. Bandos and Carlos Meliveo
|
Covariant action and equations of motion for the eleven dimensional
multiple M0-brane system
|
23 pages, RevTeX4, no figures. V2: 24 pages, cosmetic changes,
misprints corrected, reference and some comments added, to appear in PRD
| null |
10.1103/PhysRevD.87.126011
| null |
hep-th gr-qc hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the properties of the covariant supersymmetric and kappa-symmetric
action for a system of N nearly coincident M0-branes (mM0 system) in flat
eleven dimensional (11D) superspace and obtain supersymmetric equations for
this dynamical system. Although a single M0-brane is the massless 11D
superparticle, center of energy motion of the mM0 system is characterized by a
nonnegative constant mass M constructed from the matrix fields describing the
relative motion of mM0 constituents. We show that a bosonic solution of the mM0
equations can be supersymmetric iff this effective mass vanishes, M=0, and that
all the supersymmetric bosonic solutions preserve just one half of the 11D
supersymmetry.
|
[
{
"created": "Mon, 1 Apr 2013 15:59:47 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jun 2013 16:21:30 GMT",
"version": "v2"
}
] |
2013-08-09
|
[
[
"Bandos",
"Igor A.",
""
],
[
"Meliveo",
"Carlos",
""
]
] |
We study the properties of the covariant supersymmetric and kappa-symmetric action for a system of N nearly coincident M0-branes (mM0 system) in flat eleven dimensional (11D) superspace and obtain supersymmetric equations for this dynamical system. Although a single M0-brane is the massless 11D superparticle, center of energy motion of the mM0 system is characterized by a nonnegative constant mass M constructed from the matrix fields describing the relative motion of mM0 constituents. We show that a bosonic solution of the mM0 equations can be supersymmetric iff this effective mass vanishes, M=0, and that all the supersymmetric bosonic solutions preserve just one half of the 11D supersymmetry.
|
2402.15835
|
Somnath Porey
|
Vinay Malvimat, Somnath Porey and Baishali Roy
|
Krylov Complexity in $2d$ CFTs with SL$(2,\mathbb{R})$ deformed
Hamiltonians
|
26 pages, 13 figures
| null | null | null |
hep-th cond-mat.str-el quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
In this study, we analyze Krylov Complexity in two-dimensional conformal
field theories subjected to deformed SL$(2,\mathbb{R})$ Hamiltonians. In the
vacuum state, we find that the K-complexity exhibits a universal phase
structure. The phase structure involves the K-complexity exhibiting an
oscillatory behaviour in the non-heating phase, which contrasts with the
exponential growth observed in the heating phase, while it displays polynomial
growth at the phase boundary. Furthermore, we extend our analysis to compute
the K-complexity of a light operator in excited states, considering both
large-c CFT and free field theory. In the free field theory, we find a
state-independent phase structure of K-complexity. However, in the large-c CFT,
the behavior varies, with the K-Complexity once again displaying exponential
growth in the heating phase and polynomial growth at the phase boundary.
Notably, the precise exponent governing this growth depends on the heaviness of
the state under examination. In the non-heating phase, we observe a transition
in K-complexity behavior from oscillatory to exponential growth, akin to
findings in [1], as it represents a special case within the non-heating phase.
|
[
{
"created": "Sat, 24 Feb 2024 15:14:19 GMT",
"version": "v1"
}
] |
2024-02-27
|
[
[
"Malvimat",
"Vinay",
""
],
[
"Porey",
"Somnath",
""
],
[
"Roy",
"Baishali",
""
]
] |
In this study, we analyze Krylov Complexity in two-dimensional conformal field theories subjected to deformed SL$(2,\mathbb{R})$ Hamiltonians. In the vacuum state, we find that the K-complexity exhibits a universal phase structure. The phase structure involves the K-complexity exhibiting an oscillatory behaviour in the non-heating phase, which contrasts with the exponential growth observed in the heating phase, while it displays polynomial growth at the phase boundary. Furthermore, we extend our analysis to compute the K-complexity of a light operator in excited states, considering both large-c CFT and free field theory. In the free field theory, we find a state-independent phase structure of K-complexity. However, in the large-c CFT, the behavior varies, with the K-Complexity once again displaying exponential growth in the heating phase and polynomial growth at the phase boundary. Notably, the precise exponent governing this growth depends on the heaviness of the state under examination. In the non-heating phase, we observe a transition in K-complexity behavior from oscillatory to exponential growth, akin to findings in [1], as it represents a special case within the non-heating phase.
|
2109.01834
|
Katarzyna Ole\'s
|
C. Adam, D. Ciurla, K. Oles, T. Romanczukiewicz, A. Wereszczynski
|
Sphalerons and resonance phenomenon in kink-antikink collisions
|
12 pages, 6 figures
| null |
10.1103/PhysRevD.104.105022
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that in some kink-antikink (KAK) collisions sphalerons, i.e.,
unstable static solutions - rather than the asymptotic free soliton states -
can be the source of the internal degrees of freedom (normal modes) which
trigger the resonance phenomenon responsible for the fractal structure in the
final state formation.
|
[
{
"created": "Sat, 4 Sep 2021 10:07:12 GMT",
"version": "v1"
}
] |
2021-12-15
|
[
[
"Adam",
"C.",
""
],
[
"Ciurla",
"D.",
""
],
[
"Oles",
"K.",
""
],
[
"Romanczukiewicz",
"T.",
""
],
[
"Wereszczynski",
"A.",
""
]
] |
We show that in some kink-antikink (KAK) collisions sphalerons, i.e., unstable static solutions - rather than the asymptotic free soliton states - can be the source of the internal degrees of freedom (normal modes) which trigger the resonance phenomenon responsible for the fractal structure in the final state formation.
|
hep-th/9510046
|
Frank Zimmerschied
|
Jian-Ge Zhou, F. Zimmerschied, J.-Q. Liang and H.J.W. Mueller-Kirsten
|
BRST invariant approach to quantum mechanical tunneling
|
9 pages, LaTex
|
Phys.Lett. B365 (1996) 163
|
10.1016/0370-2693(95)01268-0
|
KL-TH 95/16
|
hep-th
| null |
A new approach with BRST invariance is suggested to cure the degeneracy
problem of ill defined path integrals in the path-integral calculationof
quantum mechanical tunneling effects in which the problem arises due to the
occurrence of zero modes. The Faddeev-Popov procedure is avoided and the
integral over the zero mode is transformed in a systematic way into a well
defined integral over instanton positions. No special procedure has to be
adopted as in the Faddeev-Popov method in calculating the Jacobian of the
transformation. The quantum mechanical tunneling for the Sine-Gordon potential
is used as a test of the method and the width of the lowest energy band is
obtained in exact agreement with that of WKB calculations.
|
[
{
"created": "Mon, 9 Oct 1995 16:32:26 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Zhou",
"Jian-Ge",
""
],
[
"Zimmerschied",
"F.",
""
],
[
"Liang",
"J. -Q.",
""
],
[
"Mueller-Kirsten",
"H. J. W.",
""
]
] |
A new approach with BRST invariance is suggested to cure the degeneracy problem of ill defined path integrals in the path-integral calculationof quantum mechanical tunneling effects in which the problem arises due to the occurrence of zero modes. The Faddeev-Popov procedure is avoided and the integral over the zero mode is transformed in a systematic way into a well defined integral over instanton positions. No special procedure has to be adopted as in the Faddeev-Popov method in calculating the Jacobian of the transformation. The quantum mechanical tunneling for the Sine-Gordon potential is used as a test of the method and the width of the lowest energy band is obtained in exact agreement with that of WKB calculations.
|
1212.2210
|
Paul McGuirk
|
Paul McGuirk
|
Falling flavors in AdS/CFT
|
38+13 pages, 8 figures. Summary of results, clarifications, and
citations added. Version to appear in JHEP
|
JHEP 1307:102 (2013)
|
10.1007/JHEP07(2013)102
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the behavior of D7 probes of supersymmetric warped geometries
that are perturbed by the presence of anti-D3-branes. Such constructions are
the gravitational duals of non-supersymmetric states in supersymmetric flavored
gauge theories. Although the D7s that we consider do not feel a force from
either D3s or anti-D3s alone, when both types of 3-branes are present the D7s
deform and fall a small distance toward the 3-branes. We perform our analysis
in AdS^5 x S^5 and the Klebanov-Witten solution and find qualitatively similar
behavior in each case. We then extend our consideration to the approximately
conical region of the Klebanov-Strassler solution and find that the effect is
parametrically larger than in the AdS^5 x X^5 examples. Additionally, we
discuss how these behaviors are modified by the presence of other flavors by
considering the backreaction of such flavor branes in AdS^5 x X^5. Finally, we
touch upon some of the implications that our results may have for model
building and argue that the deformation of the worldvolume results in
non-negligible corrections to soft terms in the low-energy description.
|
[
{
"created": "Mon, 10 Dec 2012 21:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jul 2013 13:25:54 GMT",
"version": "v2"
}
] |
2013-07-18
|
[
[
"McGuirk",
"Paul",
""
]
] |
We consider the behavior of D7 probes of supersymmetric warped geometries that are perturbed by the presence of anti-D3-branes. Such constructions are the gravitational duals of non-supersymmetric states in supersymmetric flavored gauge theories. Although the D7s that we consider do not feel a force from either D3s or anti-D3s alone, when both types of 3-branes are present the D7s deform and fall a small distance toward the 3-branes. We perform our analysis in AdS^5 x S^5 and the Klebanov-Witten solution and find qualitatively similar behavior in each case. We then extend our consideration to the approximately conical region of the Klebanov-Strassler solution and find that the effect is parametrically larger than in the AdS^5 x X^5 examples. Additionally, we discuss how these behaviors are modified by the presence of other flavors by considering the backreaction of such flavor branes in AdS^5 x X^5. Finally, we touch upon some of the implications that our results may have for model building and argue that the deformation of the worldvolume results in non-negligible corrections to soft terms in the low-energy description.
|
1102.3152
|
Frans Klinkhamer
|
F.R. Klinkhamer, G.E.Volovik
|
Dynamics of the quantum vacuum: Cosmology as relaxation to the
equilibrium state
|
12 pages; contribution to the Proceedings of The Spanish Relativity
Meeting (ERE2010); v4: published version but with larger figure and expanded
references
|
J.Phys.Conf.Ser.314:012004,2011
|
10.1088/1742-6596/314/1/012004
|
KA-TP-03-2011
|
gr-qc astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The behavior of the gravitating vacuum energy density in an expanding
universe is discussed. A scenario is presented with a step-wise relaxation of
the vacuum energy density. The vacuum energy density moves from plateau to
plateau and follows, on average, the steadily decreasing matter energy density.
The current plateau with a small positive value of the vacuum energy density
(effective cosmological constant) may result from a still not equilibrated
contribution of the light massive neutrinos to the quantum vacuum.
|
[
{
"created": "Tue, 15 Feb 2011 18:37:11 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Feb 2011 20:50:26 GMT",
"version": "v2"
},
{
"created": "Mon, 14 Mar 2011 18:32:24 GMT",
"version": "v3"
},
{
"created": "Sat, 1 Oct 2011 15:46:30 GMT",
"version": "v4"
}
] |
2011-10-04
|
[
[
"Klinkhamer",
"F. R.",
""
],
[
"Volovik",
"G. E.",
""
]
] |
The behavior of the gravitating vacuum energy density in an expanding universe is discussed. A scenario is presented with a step-wise relaxation of the vacuum energy density. The vacuum energy density moves from plateau to plateau and follows, on average, the steadily decreasing matter energy density. The current plateau with a small positive value of the vacuum energy density (effective cosmological constant) may result from a still not equilibrated contribution of the light massive neutrinos to the quantum vacuum.
|
gr-qc/9510057
|
Biplab Bhawal
|
Biplab Bhawal
|
Evolution of Intra-Cavity Fields at Non-Steady State in Dual Recycled
Interferometer
|
10 pages; PlainTex; four figures uuencoded; To be published in Aplied
Optics
| null |
10.1364/AO.35.001041
|
IUCAA-3/95
|
gr-qc
| null |
We describe how exactly the intra-cavity fields in a dual recycling cavity
build up their power before achieving a steady state value. We restricted our
analysis here to interferometers with lossless mirrors and beam-splitter. The
complete series representation of the intra-cavity lights at any stage of
evolution in non-steady state have been presented.
|
[
{
"created": "Fri, 27 Oct 1995 21:35:25 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Bhawal",
"Biplab",
""
]
] |
We describe how exactly the intra-cavity fields in a dual recycling cavity build up their power before achieving a steady state value. We restricted our analysis here to interferometers with lossless mirrors and beam-splitter. The complete series representation of the intra-cavity lights at any stage of evolution in non-steady state have been presented.
|
2208.09006
|
Herm\`es B\'elusca-Ma\"ito
|
Herm\`es B\'elusca-Ma\"ito (Department of Physics, University of
Zagreb)
|
Renormalisation Group Equations for BRST-Restored Chiral Theory in
Dimensional Renormalisation: Application to Two-Loop Chiral-QED
|
37 pages, 7 figures, 1 table; v2: Updated title, corrected typos,
improved text, references added; v3: Text matching published version:
improved study of "modified multiplicative renormalisation" setup in Section
3 and comparison with algebraic approach in Section 5, updated abstract and
conclusion
|
JHEP 03 (2023) 202
|
10.1007/JHEP03(2023)202
|
ZTF-EP-22-03
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss how renormalisation group equations can be consistently formulated
using the algebraic renormalisation framework, in the context of a
dimensionally-renormalised chiral field theory in the BMHV scheme, where the
BRST symmetry, originally broken at the quantum level, is restored via finite
counterterms. We compare it with the more standard multiplicative
renormalisation approach, which application would be more cumbersome in this
setting. Both procedures are applied and compared on the example of a massless
chiral right-handed QED model, and beta-function and anomalous dimensions are
evaluated up to two-loop orders.
|
[
{
"created": "Thu, 18 Aug 2022 18:00:22 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Oct 2022 21:58:14 GMT",
"version": "v2"
},
{
"created": "Fri, 14 Apr 2023 23:31:21 GMT",
"version": "v3"
}
] |
2023-04-18
|
[
[
"Bélusca-Maïto",
"Hermès",
"",
"Department of Physics, University of\n Zagreb"
]
] |
We discuss how renormalisation group equations can be consistently formulated using the algebraic renormalisation framework, in the context of a dimensionally-renormalised chiral field theory in the BMHV scheme, where the BRST symmetry, originally broken at the quantum level, is restored via finite counterterms. We compare it with the more standard multiplicative renormalisation approach, which application would be more cumbersome in this setting. Both procedures are applied and compared on the example of a massless chiral right-handed QED model, and beta-function and anomalous dimensions are evaluated up to two-loop orders.
|
1611.00048
|
Francesco Bigazzi
|
Lorenzo Bartolini, Francesco Bigazzi, Stefano Bolognesi, Aldo L.
Cotrone, Andrea Manenti
|
Theta dependence in Holographic QCD
|
Latex, 61 pages, 5 figures; v2: Section 8.5 with a novel analysis of
the electric dipole form factor has been added; further comments and
references added; typos corrected
| null |
10.1007/JHEP02(2017)029
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the effects of the CP-breaking topological $\theta$-term in the
large $N_c$ QCD model by Witten, Sakai and Sugimoto with $N_f$ degenerate light
flavors. We first compute the ground state energy density, the topological
susceptibility and the masses of the lowest lying mesons, finding agreement
with expectations from the QCD chiral effective action. Then, focusing on the
$N_f=2$ case, we consider the baryonic sector and determine, to leading order
in the small $\theta$ regime, the related holographic instantonic soliton
solutions. We find that while the baryon spectrum does not receive ${\cal
O}(\theta)$ corrections, this is not the case for observables like the
electromagnetic form factor of the nucleons. In particular, it exhibits a
dipole term, which turns out to be vector-meson dominated. The resulting
neutron electric dipole moment, which is exactly the opposite as that of the
proton, is of the same order of magnitude of previous estimates in the
literature. Finally, we compute the CP-violating pion-nucleon coupling constant
${\bar g}_{\pi N N}$, finding that it is zero to leading order in the large
$N_c$ limit.
|
[
{
"created": "Mon, 31 Oct 2016 21:03:27 GMT",
"version": "v1"
},
{
"created": "Sun, 18 Dec 2016 19:13:07 GMT",
"version": "v2"
}
] |
2017-03-08
|
[
[
"Bartolini",
"Lorenzo",
""
],
[
"Bigazzi",
"Francesco",
""
],
[
"Bolognesi",
"Stefano",
""
],
[
"Cotrone",
"Aldo L.",
""
],
[
"Manenti",
"Andrea",
""
]
] |
We study the effects of the CP-breaking topological $\theta$-term in the large $N_c$ QCD model by Witten, Sakai and Sugimoto with $N_f$ degenerate light flavors. We first compute the ground state energy density, the topological susceptibility and the masses of the lowest lying mesons, finding agreement with expectations from the QCD chiral effective action. Then, focusing on the $N_f=2$ case, we consider the baryonic sector and determine, to leading order in the small $\theta$ regime, the related holographic instantonic soliton solutions. We find that while the baryon spectrum does not receive ${\cal O}(\theta)$ corrections, this is not the case for observables like the electromagnetic form factor of the nucleons. In particular, it exhibits a dipole term, which turns out to be vector-meson dominated. The resulting neutron electric dipole moment, which is exactly the opposite as that of the proton, is of the same order of magnitude of previous estimates in the literature. Finally, we compute the CP-violating pion-nucleon coupling constant ${\bar g}_{\pi N N}$, finding that it is zero to leading order in the large $N_c$ limit.
|
1607.04369
|
Andrea Zanzi
|
Andrea Zanzi
|
Quantum mechanics before the big bang in heterotic-M-theory
|
10 pages
| null | null | null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this letter we investigate the role played by quantum mechanics before the
big-bang in heterotic-M-theory assuming an orbifold compactification of time.
As we will see particles are localized around a black hole but only in regions
where a constructive quantum interference takes place. We infer that the
creation of this interference pattern is interesting for many reasons: (A) it
is a mechanism to localize particles on $S^4$ branes; (B) the Casimir potential
for the dilaton can be interpreted as a gravitational effective potential for a
two-body problem; (C) the quantum interference is a new way to define the
branes in heterotic-M-theory. Remarkably, a modified Schroedinger equation is
obtained. The stabilization of the branes' position is related to the absence
of a cosmological singularity.
|
[
{
"created": "Fri, 15 Jul 2016 03:16:19 GMT",
"version": "v1"
}
] |
2016-07-18
|
[
[
"Zanzi",
"Andrea",
""
]
] |
In this letter we investigate the role played by quantum mechanics before the big-bang in heterotic-M-theory assuming an orbifold compactification of time. As we will see particles are localized around a black hole but only in regions where a constructive quantum interference takes place. We infer that the creation of this interference pattern is interesting for many reasons: (A) it is a mechanism to localize particles on $S^4$ branes; (B) the Casimir potential for the dilaton can be interpreted as a gravitational effective potential for a two-body problem; (C) the quantum interference is a new way to define the branes in heterotic-M-theory. Remarkably, a modified Schroedinger equation is obtained. The stabilization of the branes' position is related to the absence of a cosmological singularity.
|
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