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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1710.02259
|
Sergei V. Ketov
|
Hiroshi Nakada and Sergei V. Ketov
|
Inflation from higher dimensions
|
24 pages, 3 figures, LateX
|
Phys. Rev. D 96, 123530 (2017)
|
10.1103/PhysRevD.96.123530
|
IPMU17-0130
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the scalar potential in four spacetime dimensions from an
eight-dimensional $(R+\gamma R^4-2\Lambda-F_4^2)$ gravity model in the presence
of the 4-form $F_4$, with the (modified gravity) coupling constant $\gamma$ and
the cosmological constant $\Lambda$, by using the flux compactification of four
extra dimensions on a 4-sphere with the warp factor. The scalar potential
depends upon two scalar fields: the scalaron and the 4-sphere volume modulus.
We demonstrate that it gives rise to a viable description of cosmological
inflation in the early Universe, with the scalaron playing the role of inflaton
and the volume modulus to be (almost) stabilized at its minimum. We also
speculate about a possibility of embedding our model in eight dimensions into a
modified eight-dimensional supergavity that, in its turn, arises from a
modified eleven-dimensional supergravity.
|
[
{
"created": "Fri, 6 Oct 2017 02:47:43 GMT",
"version": "v1"
}
] |
2018-01-03
|
[
[
"Nakada",
"Hiroshi",
""
],
[
"Ketov",
"Sergei V.",
""
]
] |
We derive the scalar potential in four spacetime dimensions from an eight-dimensional $(R+\gamma R^4-2\Lambda-F_4^2)$ gravity model in the presence of the 4-form $F_4$, with the (modified gravity) coupling constant $\gamma$ and the cosmological constant $\Lambda$, by using the flux compactification of four extra dimensions on a 4-sphere with the warp factor. The scalar potential depends upon two scalar fields: the scalaron and the 4-sphere volume modulus. We demonstrate that it gives rise to a viable description of cosmological inflation in the early Universe, with the scalaron playing the role of inflaton and the volume modulus to be (almost) stabilized at its minimum. We also speculate about a possibility of embedding our model in eight dimensions into a modified eight-dimensional supergavity that, in its turn, arises from a modified eleven-dimensional supergravity.
|
1710.00221
|
Carlo A. Trugenberger
|
M. C. Diamantini and C. A. Trugenberger
|
Topological Network Entanglement as Order Parameter for the Emergence of
Geometry
| null |
New Journal of Physics NJP-106741.R3 (2017)
|
10.1088/1367-2630/aa8f08
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that, in discrete models of quantum gravity, emergent geometric space
can be viewed as the entanglement pattern in a mixed quantum state of the
"universe", characterized by a universal topological network entanglement. As a
concrete example we analyze the recently proposed model in which geometry
emerges due to the condensation of 4-cycles in random regular bipartite graphs,
driven by the combinatorial Ollivier-Ricci curvature. Using this model we show
that the emergence of geometric order decreases the entanglement entropy of
random configurations. The lowest geometric entanglement entropy is realized in
four dimensions.
|
[
{
"created": "Sat, 30 Sep 2017 16:29:24 GMT",
"version": "v1"
}
] |
2017-11-22
|
[
[
"Diamantini",
"M. C.",
""
],
[
"Trugenberger",
"C. A.",
""
]
] |
We show that, in discrete models of quantum gravity, emergent geometric space can be viewed as the entanglement pattern in a mixed quantum state of the "universe", characterized by a universal topological network entanglement. As a concrete example we analyze the recently proposed model in which geometry emerges due to the condensation of 4-cycles in random regular bipartite graphs, driven by the combinatorial Ollivier-Ricci curvature. Using this model we show that the emergence of geometric order decreases the entanglement entropy of random configurations. The lowest geometric entanglement entropy is realized in four dimensions.
|
hep-th/9712211
|
Oren Bergman
|
O. Bergman (Harvard)
|
Three-Pronged Strings and 1/4 BPS States in N=4 Super-Yang-Mills Theory
|
LaTex file, 15 pages, 5 postscript figures; misprints corrected,
references added, comment on spin>1 added at the end of section 4.1
|
Nucl.Phys. B525 (1998) 104-116
|
10.1016/S0550-3213(98)00345-9
|
HUTP-97/A104
|
hep-th
| null |
We provide an explicit construction of 1/4 BPS states in four-dimensional N=4
Super-Yang-Mills theory with a gauge group SU(3). These states correspond to
three-pronged strings connecting three D3-branes. We also find curves of
marginal stability in the moduli space of the theory, at which the above states
can decay into two 1/2 BPS states.
|
[
{
"created": "Mon, 22 Dec 1997 21:45:33 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Feb 1998 21:18:09 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Bergman",
"O.",
"",
"Harvard"
]
] |
We provide an explicit construction of 1/4 BPS states in four-dimensional N=4 Super-Yang-Mills theory with a gauge group SU(3). These states correspond to three-pronged strings connecting three D3-branes. We also find curves of marginal stability in the moduli space of the theory, at which the above states can decay into two 1/2 BPS states.
|
2404.10412
|
Debabrata Ghorai
|
Debabrata Ghorai, Taewon Yuk, Young-Kwon Han, Sang-Jin Sin
|
Classification of the Mott gap
|
16 pages, 6 figures, 3 tables
| null | null | null |
hep-th cond-mat.str-el
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we demonstrate the classification of the gap in a holographic
setup by studying the density of states. A gap can be classified into order gap
and Mott gap depending on the presence of the order due to the symmetry
breaking or not. A Mott insulating gap appears in the fermion spectrum due to
the strong Coulomb interaction between the electrons. We then classify all Mott
gaps as well as order gaps in one-flavor and two-flavor fermions. We also
identified possible non-minimal interactions that may produce a flatband.
|
[
{
"created": "Tue, 16 Apr 2024 09:30:12 GMT",
"version": "v1"
}
] |
2024-04-17
|
[
[
"Ghorai",
"Debabrata",
""
],
[
"Yuk",
"Taewon",
""
],
[
"Han",
"Young-Kwon",
""
],
[
"Sin",
"Sang-Jin",
""
]
] |
In this paper, we demonstrate the classification of the gap in a holographic setup by studying the density of states. A gap can be classified into order gap and Mott gap depending on the presence of the order due to the symmetry breaking or not. A Mott insulating gap appears in the fermion spectrum due to the strong Coulomb interaction between the electrons. We then classify all Mott gaps as well as order gaps in one-flavor and two-flavor fermions. We also identified possible non-minimal interactions that may produce a flatband.
|
0905.4939
|
Pulak Ranjan Giri
|
Pulak Ranjan Giri
|
Physical realization for Riemann zeros from black hole physics
|
4 pages, no figure, revtex4, single author
| null | null | null |
hep-th gr-qc math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
According to a conjecture attributed to Polya and Hilbert, there is a
self-adjoint operator whose eigenvalues are the the nontrivial zeros of the
Riemann zeta function. We show that the near-horizon dynamics of a massive
scalar field in the Schwarzscild black hole spacetime, under a reasonable
boundary condition, gives rise to normal mode frequencies that coincide with
the nontrivial Riemann zeros. In achieving this result, we exploit the
Bekenstein conjecture of black hole area quantization, and argue that it is
responsible for the breaking of the continuous scale symmetry of the near
horizon dynamics into a discrete one.
|
[
{
"created": "Fri, 29 May 2009 18:29:31 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Mar 2010 20:01:23 GMT",
"version": "v2"
}
] |
2010-03-09
|
[
[
"Giri",
"Pulak Ranjan",
""
]
] |
According to a conjecture attributed to Polya and Hilbert, there is a self-adjoint operator whose eigenvalues are the the nontrivial zeros of the Riemann zeta function. We show that the near-horizon dynamics of a massive scalar field in the Schwarzscild black hole spacetime, under a reasonable boundary condition, gives rise to normal mode frequencies that coincide with the nontrivial Riemann zeros. In achieving this result, we exploit the Bekenstein conjecture of black hole area quantization, and argue that it is responsible for the breaking of the continuous scale symmetry of the near horizon dynamics into a discrete one.
|
hep-th/0310076
|
Betti Hartmann
|
Yves Brihaye (Universite de Mons, Belgium), Betti Hartmann (IUB,
Germany), Theodora Ioannidou (University of Kent, UK) and Wojtek J.
Zakrzewski (University of Durham, UK)
|
Gravitating SU(N) Monopoles from Harmonic maps
|
12 REVTEX pages, 3 PS-figures; references added, conclusion extended
|
Class.Quant.Grav.21:517-526,2004
|
10.1088/0264-9381/21/2/015
| null |
hep-th
| null |
Spherically symmetric solutions of the SU(N) Einstein-Yang-Mills-Higgs system
are constructed using the harmonic map ansatz. The problem reduces to solving a
set of ordinary differential equations for the appropriate profile functions.
In the SU(2) case, we recover the equations studied in great detail previously,
while for the SU(N) (N > 2) case we find new solutions. In the SU(3) case we
see that our expressions are the gravitating analogues of the solutions
obtained through the SO(3) embedding into SU(2).
|
[
{
"created": "Wed, 8 Oct 2003 13:26:42 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Nov 2003 10:24:20 GMT",
"version": "v2"
}
] |
2010-11-19
|
[
[
"Brihaye",
"Yves",
"",
"Universite de Mons, Belgium"
],
[
"Hartmann",
"Betti",
"",
"IUB,\n Germany"
],
[
"Ioannidou",
"Theodora",
"",
"University of Kent, UK"
],
[
"Zakrzewski",
"Wojtek J.",
"",
"University of Durham, UK"
]
] |
Spherically symmetric solutions of the SU(N) Einstein-Yang-Mills-Higgs system are constructed using the harmonic map ansatz. The problem reduces to solving a set of ordinary differential equations for the appropriate profile functions. In the SU(2) case, we recover the equations studied in great detail previously, while for the SU(N) (N > 2) case we find new solutions. In the SU(3) case we see that our expressions are the gravitating analogues of the solutions obtained through the SO(3) embedding into SU(2).
|
0712.4269
|
Girma Hailu
|
Girma Hailu
|
Gravity Dual to Pure Confining Gauge Theory
|
8 pages, notation for background geometry corrected
| null | null | null |
hep-th
| null |
We find a dual gravity theory to pure confining N=1 supersymmetric SU(N)
gauge theory in four dimensions which has the correct gauge coupling running in
addition to reproducing the appropriate pattern of chiral symmetry breaking. It
is constructed in type IIB string theory on R^{1,3} X R^1 X S^2 X S^3
background with N number of electric D5 and 2N number of magnetic D7-branes
filling four dimensional spacetime and wrapping respectively two and four
cycles.
|
[
{
"created": "Thu, 27 Dec 2007 19:10:38 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jan 2008 20:50:55 GMT",
"version": "v2"
}
] |
2008-01-03
|
[
[
"Hailu",
"Girma",
""
]
] |
We find a dual gravity theory to pure confining N=1 supersymmetric SU(N) gauge theory in four dimensions which has the correct gauge coupling running in addition to reproducing the appropriate pattern of chiral symmetry breaking. It is constructed in type IIB string theory on R^{1,3} X R^1 X S^2 X S^3 background with N number of electric D5 and 2N number of magnetic D7-branes filling four dimensional spacetime and wrapping respectively two and four cycles.
|
1410.7865
|
Ignacio Salazar
|
Ignacio Salazar Landea
|
Inhomogeneous superfluids
|
14 pages, 6 figures, references added
| null | null | null |
hep-th cond-mat.other
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show examples of a striped superfluid in a simple $\lambda\varphi^4$ model
at finite velocity and chemical potential with a global $U(1)$ or $U(2)$
symmetry. Whenever the chemical potential is large enough we find flowing
homogeneous solutions and static inhomogeneous solutions at any arbitrary small
velocity. For the $U(1)$ model the inhomogeneous solutions found are
energetically favourable for large enough superfluid velocity and the
homogeneous and inhomogeneous phases are connected via a first order phase
transitions. On the other hand, the $U(2)$ model becomes striped as soon as we
turn on the velocity through a second order phase transition. In both models
increasing the velocity leads to a second order phase transition into a phase
with no condensate.
|
[
{
"created": "Wed, 29 Oct 2014 02:58:35 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Aug 2015 03:34:13 GMT",
"version": "v2"
}
] |
2015-08-10
|
[
[
"Landea",
"Ignacio Salazar",
""
]
] |
We show examples of a striped superfluid in a simple $\lambda\varphi^4$ model at finite velocity and chemical potential with a global $U(1)$ or $U(2)$ symmetry. Whenever the chemical potential is large enough we find flowing homogeneous solutions and static inhomogeneous solutions at any arbitrary small velocity. For the $U(1)$ model the inhomogeneous solutions found are energetically favourable for large enough superfluid velocity and the homogeneous and inhomogeneous phases are connected via a first order phase transitions. On the other hand, the $U(2)$ model becomes striped as soon as we turn on the velocity through a second order phase transition. In both models increasing the velocity leads to a second order phase transition into a phase with no condensate.
|
1103.4746
|
Steinar Johannesen
|
Oyvind Gron and Steinar Johannesen
|
FRW Universe Models in Conformally Flat Spacetime Coordinates. II:
Universe models with negative and vanishing spatial curvature
|
25 pages, 12 figures
|
Eur.Phys.J.Plus 126:29,2011
|
10.1140/epjp/i2011-11029-5
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We deduce general expressions for the line element of universe models with
negative and vanishing spatial curvature described by conformally flat
spacetime coordinates. The empty Milne universe model and models with dust,
radiation and vacuum energy are exhibited. Discussing the existence of particle
horizons we show that there is continual creation of space, matter and energy
when conformal time is used in Friedmann-Robertson-Walker models with negative
spatial curvature.
|
[
{
"created": "Thu, 24 Mar 2011 12:29:23 GMT",
"version": "v1"
}
] |
2011-05-12
|
[
[
"Gron",
"Oyvind",
""
],
[
"Johannesen",
"Steinar",
""
]
] |
We deduce general expressions for the line element of universe models with negative and vanishing spatial curvature described by conformally flat spacetime coordinates. The empty Milne universe model and models with dust, radiation and vacuum energy are exhibited. Discussing the existence of particle horizons we show that there is continual creation of space, matter and energy when conformal time is used in Friedmann-Robertson-Walker models with negative spatial curvature.
|
1610.07266
|
Chanyong Park
|
Ki-Seok Kim and Chanyong Park
|
RG flow of entanglement entropy to thermal entropy
|
22 pages, 3 figures
|
Phys. Rev. D 95, 106007 (2017)
|
10.1103/PhysRevD.95.106007
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Utilizing the holographic technique, we investigate how the entanglement
entropy evolves along the RG flow. After introducing a new generalized
temperature which satisfies the thermodynamics-like law even in the IR regime,
we find that the renormalized entropy and the generalized temperature in the IR
limit approach the thermal entropy and thermodynamic temperature of a real
thermal system. This result implies that the microscopic quantum entanglement
entropy in the IR region leads to the thermodynamic relation up to small
quantum corrections caused by the quantum entanglement near the entangling
surface. Intriguingly, this IR feature of the entanglement entropy universally
happens regardless of the detail of the dual field theory and the shape of the
entangling surface. We check this IR universality with a most general geometry
called the hyperscaling violation geometry which is dual to a relativistic
non-conformal field theory.
|
[
{
"created": "Mon, 24 Oct 2016 02:06:15 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Oct 2016 00:52:16 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Mar 2017 02:56:08 GMT",
"version": "v3"
}
] |
2017-05-31
|
[
[
"Kim",
"Ki-Seok",
""
],
[
"Park",
"Chanyong",
""
]
] |
Utilizing the holographic technique, we investigate how the entanglement entropy evolves along the RG flow. After introducing a new generalized temperature which satisfies the thermodynamics-like law even in the IR regime, we find that the renormalized entropy and the generalized temperature in the IR limit approach the thermal entropy and thermodynamic temperature of a real thermal system. This result implies that the microscopic quantum entanglement entropy in the IR region leads to the thermodynamic relation up to small quantum corrections caused by the quantum entanglement near the entangling surface. Intriguingly, this IR feature of the entanglement entropy universally happens regardless of the detail of the dual field theory and the shape of the entangling surface. We check this IR universality with a most general geometry called the hyperscaling violation geometry which is dual to a relativistic non-conformal field theory.
|
2302.12851
|
Viraj Meruliya
|
Nathan Benjamin, Scott Collier, Alexander Maloney, Viraj Meruliya
|
Resurgence, Conformal Blocks, and the Sum over Geometries in Quantum
Gravity
|
37 pages, 7 figures; References added
| null |
10.1007/JHEP05(2023)166
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In two dimensional conformal field theories the limit of large central charge
plays the role of a semi-classical limit. Certain universal observables, such
as conformal blocks involving the exchange of the identity operator, can be
expanded around this classical limit in powers of the central charge $c$. This
expansion is an asymptotic series, so - via the same resurgence analysis
familiar from quantum mechanics - necessitates the existence of
non-perturbative effects. In the case of identity conformal blocks, these new
effects have a simple interpretation: the CFT must possess new primary
operators with dimension of order the central charge. This constrains the data
of CFTs with large central charge in a way that is similar to (but distinct
from) the conformal bootstrap. We study this phenomenon in three ways:
numerically, analytically using Zamolodchikov's recursion relations, and by
considering non-unitary minimal models with large (negative) central charge. In
the holographic dual to a CFT$_2$, the expansion in powers of $c$ is the
perturbative loop expansion in powers of $\hbar$. So our results imply that the
graviton loop expansion is an asymptotic series, whose cure requires the
inclusion of new saddle points in the gravitational path integral. In certain
cases these saddle points have a simple interpretation: they are conical
excesses, particle-like states with negative mass which are not in the physical
spectrum but nevertheless appear as non-manifold saddle points that control the
asymptotic behaviour of the loop expansion. This phenomenon also has an
interpretation in $SL(2,{\mathbb R})$ Chern-Simons theory, where the
non-perturbative effects are associated with the non-Teichm\"uller component of
the moduli space of flat connections.
|
[
{
"created": "Fri, 24 Feb 2023 19:00:17 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Mar 2023 18:36:25 GMT",
"version": "v2"
}
] |
2023-06-07
|
[
[
"Benjamin",
"Nathan",
""
],
[
"Collier",
"Scott",
""
],
[
"Maloney",
"Alexander",
""
],
[
"Meruliya",
"Viraj",
""
]
] |
In two dimensional conformal field theories the limit of large central charge plays the role of a semi-classical limit. Certain universal observables, such as conformal blocks involving the exchange of the identity operator, can be expanded around this classical limit in powers of the central charge $c$. This expansion is an asymptotic series, so - via the same resurgence analysis familiar from quantum mechanics - necessitates the existence of non-perturbative effects. In the case of identity conformal blocks, these new effects have a simple interpretation: the CFT must possess new primary operators with dimension of order the central charge. This constrains the data of CFTs with large central charge in a way that is similar to (but distinct from) the conformal bootstrap. We study this phenomenon in three ways: numerically, analytically using Zamolodchikov's recursion relations, and by considering non-unitary minimal models with large (negative) central charge. In the holographic dual to a CFT$_2$, the expansion in powers of $c$ is the perturbative loop expansion in powers of $\hbar$. So our results imply that the graviton loop expansion is an asymptotic series, whose cure requires the inclusion of new saddle points in the gravitational path integral. In certain cases these saddle points have a simple interpretation: they are conical excesses, particle-like states with negative mass which are not in the physical spectrum but nevertheless appear as non-manifold saddle points that control the asymptotic behaviour of the loop expansion. This phenomenon also has an interpretation in $SL(2,{\mathbb R})$ Chern-Simons theory, where the non-perturbative effects are associated with the non-Teichm\"uller component of the moduli space of flat connections.
|
hep-th/9609198
|
Laszlo Palla
|
Z. Horv\'ath, R.L. Karp and L. Palla
|
On quantum equivalence of dual sigma models: $SL(3)$ examples
|
Plain TEX, 24 pages
|
Nucl.Phys. B490 (1997) 435-456
|
10.1016/S0550-3213(97)00062-X
|
ITP Budapest Report No. 519
|
hep-th
| null |
The equivalence of several $SL(3)$ sigma models and their special Abelian
duals is investigated in the two loop order of perturbation theory. The
investigation is based on extracting and comparing various $\beta$ functions of
the original and dual models. The role of the discrete global symmetries is
emphasized.
|
[
{
"created": "Wed, 25 Sep 1996 08:40:24 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Horváth",
"Z.",
""
],
[
"Karp",
"R. L.",
""
],
[
"Palla",
"L.",
""
]
] |
The equivalence of several $SL(3)$ sigma models and their special Abelian duals is investigated in the two loop order of perturbation theory. The investigation is based on extracting and comparing various $\beta$ functions of the original and dual models. The role of the discrete global symmetries is emphasized.
|
1405.6046
|
Samson Shatashvili
|
Nikita A. Nekrasov and Samson L. Shatashvili
|
Bethe/Gauge correspondence on curved spaces
| null | null |
10.1007/JHEP01(2015)100
| null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Bethe/gauge correspondence identifies supersymmetric vacua of massive gauge
theories invariant under the two dimensional N=2 Poincare supersymmetry with
the stationary states of some quantum integrable system. The supersymmetric
theory can be twisted in a number of ways, producing a topological field
theory. For these theories we compute the handle gluing operator H. We also
discuss the Gaudin conjecture on the norm of Bethe states and its connection to
H.
|
[
{
"created": "Fri, 23 May 2014 12:54:04 GMT",
"version": "v1"
}
] |
2015-06-19
|
[
[
"Nekrasov",
"Nikita A.",
""
],
[
"Shatashvili",
"Samson L.",
""
]
] |
Bethe/gauge correspondence identifies supersymmetric vacua of massive gauge theories invariant under the two dimensional N=2 Poincare supersymmetry with the stationary states of some quantum integrable system. The supersymmetric theory can be twisted in a number of ways, producing a topological field theory. For these theories we compute the handle gluing operator H. We also discuss the Gaudin conjecture on the norm of Bethe states and its connection to H.
|
hep-th/0204234
|
Hiromitsu Takayanagi
|
Hiromitsu Takayanagi and Tadashi Takayanagi
|
Open Strings in Exactly Solvable Model of Curved Spacetime and PP-Wave
Limit
|
Latex, 32 pages, typos corrected, references added, to appear in
JHEP, eq.(2.22) corrected
|
JHEP 0205 (2002) 012
|
10.1088/1126-6708/2002/05/012
|
UT-02-23
|
hep-th
| null |
In this paper we study the superstring version of the exactly solvable string
model constructed by Russo and Tseytlin. This model represents superstring
theory in a curved spacetime and can be seen as a generalization of the Melvin
background. We investigate D-branes in this model as probes of the background
geometry by constructing the boundary states. We find that spacetime
singularities in the model become smooth at high energy from the viewpoint of
open string. We show that there always exist bulk (movable) D-branes by the
effect of electric flux. The model also includes Nappi-Witten model as the
Penrose limit and supersymmetry is enhanced in the limit. We examine this
phenomenon in the open string spectrum. We also find the similar enhancement of
supersymmetry can be occurred in several coset models.
|
[
{
"created": "Mon, 29 Apr 2002 12:53:48 GMT",
"version": "v1"
},
{
"created": "Wed, 1 May 2002 14:53:33 GMT",
"version": "v2"
},
{
"created": "Fri, 17 May 2002 08:11:30 GMT",
"version": "v3"
},
{
"created": "Thu, 6 Jun 2002 12:00:25 GMT",
"version": "v4"
}
] |
2009-11-07
|
[
[
"Takayanagi",
"Hiromitsu",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] |
In this paper we study the superstring version of the exactly solvable string model constructed by Russo and Tseytlin. This model represents superstring theory in a curved spacetime and can be seen as a generalization of the Melvin background. We investigate D-branes in this model as probes of the background geometry by constructing the boundary states. We find that spacetime singularities in the model become smooth at high energy from the viewpoint of open string. We show that there always exist bulk (movable) D-branes by the effect of electric flux. The model also includes Nappi-Witten model as the Penrose limit and supersymmetry is enhanced in the limit. We examine this phenomenon in the open string spectrum. We also find the similar enhancement of supersymmetry can be occurred in several coset models.
|
hep-th/0601007
|
Neil Turok
|
Gustavo Niz and Neil Turok
|
Classical Propagation of Strings across a Big Crunch/Big Bang
Singularity
|
38 pages, 19 figures
|
Phys.Rev.D75:026001,2007
|
10.1103/PhysRevD.75.026001
| null |
hep-th
| null |
One of the simplest time-dependent solutions of M theory consists of
nine-dimensional Euclidean space times 1+1-dimensional compactified Milne
space-time. With a further modding out by Z_2, the space-time represents two
orbifold planes which collide and re-emerge, a process proposed as an
explanation of the hot big bang. When the two planes are near, the light states
of the theory consist of winding M2-branes, describing fundamental strings in a
particular ten-dimensional background. They suffer no blue-shift as the M
theory dimension collapses, and their equations of motion are regular across
the transition from big crunch to big bang. In this paper, we study the
classical evolution of fundamental strings across the singularity in some
detail. We also develop a simple semi-classical approximation to the quantum
evolution which allows one to compute the quantum production of excitations on
the string and implement it in a simplified example.
|
[
{
"created": "Sun, 1 Jan 2006 15:02:16 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Niz",
"Gustavo",
""
],
[
"Turok",
"Neil",
""
]
] |
One of the simplest time-dependent solutions of M theory consists of nine-dimensional Euclidean space times 1+1-dimensional compactified Milne space-time. With a further modding out by Z_2, the space-time represents two orbifold planes which collide and re-emerge, a process proposed as an explanation of the hot big bang. When the two planes are near, the light states of the theory consist of winding M2-branes, describing fundamental strings in a particular ten-dimensional background. They suffer no blue-shift as the M theory dimension collapses, and their equations of motion are regular across the transition from big crunch to big bang. In this paper, we study the classical evolution of fundamental strings across the singularity in some detail. We also develop a simple semi-classical approximation to the quantum evolution which allows one to compute the quantum production of excitations on the string and implement it in a simplified example.
|
hep-th/0610061
|
Denis Kochan
|
Denis Kochan
|
Noncommutative Lagrange Mechanics
|
This is a contribution to the Proc. of the 3-rd Microconference
"Analytic and Algebraic Methods III"(June 19, 2007, Prague, Czech Republic),
published in SIGMA (Symmetry, Integrability and Geometry: Methods and
Applications) at http://www.emis.de/journals/SIGMA/
|
SIGMA 4:028,2008
|
10.3842/SIGMA.2008.028
| null |
hep-th
| null |
It is proposed how to impose a general type of ''noncommutativity'' within
classical mechanics from first principles. Formulation is performed in
completely alternative way, i.e. without any resort to fuzzy and/or star
product philosophy, which are extensively applied within noncommutative quantum
theories. Newton-Lagrange noncommutative equations of motion are formulated and
their properties are analyzed from the pure geometrical point of view. It is
argued that the dynamical quintessence of the system consists in its kinetic
energy (Riemannian metric) specifying Riemann-Levi-Civita connection and thus
the inertia geodesics of the free motion. Throughout the paper,
''noncommutativity'' is considered as an internal geometric structure of the
configuration space, which can not be ''observed'' per se. Manifestation of the
noncommutative phenomena is mediated by the interaction of the system with
noncommutative background under the consideration. The simplest model of the
interaction (minimal coupling) is proposed and it is shown that guiding affine
connection is modified by the quadratic analog of the Lorentz electromagnetic
force (contortion term).
|
[
{
"created": "Thu, 5 Oct 2006 09:15:17 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Feb 2008 18:39:40 GMT",
"version": "v2"
}
] |
2008-12-19
|
[
[
"Kochan",
"Denis",
""
]
] |
It is proposed how to impose a general type of ''noncommutativity'' within classical mechanics from first principles. Formulation is performed in completely alternative way, i.e. without any resort to fuzzy and/or star product philosophy, which are extensively applied within noncommutative quantum theories. Newton-Lagrange noncommutative equations of motion are formulated and their properties are analyzed from the pure geometrical point of view. It is argued that the dynamical quintessence of the system consists in its kinetic energy (Riemannian metric) specifying Riemann-Levi-Civita connection and thus the inertia geodesics of the free motion. Throughout the paper, ''noncommutativity'' is considered as an internal geometric structure of the configuration space, which can not be ''observed'' per se. Manifestation of the noncommutative phenomena is mediated by the interaction of the system with noncommutative background under the consideration. The simplest model of the interaction (minimal coupling) is proposed and it is shown that guiding affine connection is modified by the quadratic analog of the Lorentz electromagnetic force (contortion term).
|
hep-th/0310278
|
Boris Blankleider
|
B. Blankleider and A. N. Kvinikhidze
|
Comment on "Light-front Schwinger model at finite temperature"
|
8 pages, revtex4, added section refuting the massless limit proposed
in hep-th/0311022
|
Phys.Rev. D69 (2004) 128701
|
10.1103/PhysRevD.69.128701
| null |
hep-th
| null |
In a recent paper by A. Das and X. Zhou [Phys. Rev. D 68, 065017 (2003)] it
is claimed that explicit evaluation of the thermal photon self-energy in the
Schwinger model gives off-shell thermal Green functions that are different in
light-front and conventional quantizations. We show that the claimed difference
originates from an erroneous simplification of the fermion propagator used in
the light-front calculation.
|
[
{
"created": "Thu, 30 Oct 2003 11:15:09 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Dec 2003 20:50:34 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Blankleider",
"B.",
""
],
[
"Kvinikhidze",
"A. N.",
""
]
] |
In a recent paper by A. Das and X. Zhou [Phys. Rev. D 68, 065017 (2003)] it is claimed that explicit evaluation of the thermal photon self-energy in the Schwinger model gives off-shell thermal Green functions that are different in light-front and conventional quantizations. We show that the claimed difference originates from an erroneous simplification of the fermion propagator used in the light-front calculation.
|
2305.16918
|
A. P. Balachandran
|
A. P. Balachandran
|
Confinement and Deconfinement in Gauge Theories: A Quantum Field Theory
|
11 pages
| null | null | null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
After a brief discussion of small and large gauge transformations and the
nature of observables, we discuss superselection sectors in gauge theories.
There are an infinity of them, classified by large gauge transformations. Gauge
theory sectors are labelled by the eigenvalues of a complete commuting set
(CCS) of these transformations.
In QED, the standard chemical potential is one such operator generating
global U(1). There are many more given by the moments of the electric field on
the sphere at infinity. In QCD, the CCS are constructed from the two commuting
generators spanning a Cartan subalgebra.
We show that any element of a large gauge transformation can be added to the
standard Hamiltonian as a chemical potential without changing field equations
and that in QCD, they lead to confined and deconfined phases . A speculation
about the physical meaning of these chemical potentials is also made.
Comment: This note is based on seminars by the author. So only a limited
number of references are given, from which further literature can be traced.
A paper is under preparation.
|
[
{
"created": "Fri, 26 May 2023 13:31:39 GMT",
"version": "v1"
}
] |
2023-06-06
|
[
[
"Balachandran",
"A. P.",
""
]
] |
After a brief discussion of small and large gauge transformations and the nature of observables, we discuss superselection sectors in gauge theories. There are an infinity of them, classified by large gauge transformations. Gauge theory sectors are labelled by the eigenvalues of a complete commuting set (CCS) of these transformations. In QED, the standard chemical potential is one such operator generating global U(1). There are many more given by the moments of the electric field on the sphere at infinity. In QCD, the CCS are constructed from the two commuting generators spanning a Cartan subalgebra. We show that any element of a large gauge transformation can be added to the standard Hamiltonian as a chemical potential without changing field equations and that in QCD, they lead to confined and deconfined phases . A speculation about the physical meaning of these chemical potentials is also made. Comment: This note is based on seminars by the author. So only a limited number of references are given, from which further literature can be traced. A paper is under preparation.
|
1003.3228
|
Vjacheslav Dorofeev
|
V. Yu. Dorofeev
|
Octonionic Physics
| null | null | null | null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The physical solutions of Lagrangian of octonionics are researched in the
paper. It is shown, the gravitational interaction in Friedmann space and in
spherically symmetric space in such model is to be described by pair of charged
massless vectorial D-bosons of Minkowski space. It is proposed to use the
formalism for the description of jet and supernova.
|
[
{
"created": "Tue, 16 Mar 2010 19:45:58 GMT",
"version": "v1"
}
] |
2010-03-17
|
[
[
"Dorofeev",
"V. Yu.",
""
]
] |
The physical solutions of Lagrangian of octonionics are researched in the paper. It is shown, the gravitational interaction in Friedmann space and in spherically symmetric space in such model is to be described by pair of charged massless vectorial D-bosons of Minkowski space. It is proposed to use the formalism for the description of jet and supernova.
|
2103.10220
|
Nils Andersson
|
N. Andersson
|
A multifluid perspective on multimessenger modelling
|
19 pages, no figures, to appear in special issue for Frontiers
Astronomy and Space Sciences
| null | null | null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This brief review introduces the notion of a relativistic multifluid system
-- a multi-component system with identifiable relative flows -- and outlines a
set of models for scenarios relevant for different astronomical observation
channels. The specific problems used to illustrate the key principles include
superfluid hydrodynamics (with relevance for radio and x-ray pulsar timing and
gravitational-wave searches), heat flow (connecting to the problem of neutron
star cooling and associated x-ray observations) and the coupling between matter
and electromagnetism (linking to explosive phenomena like gamma-ray bursts and
more subtle issues like the long-term evolution of a neutron star's magnetic
field). We also comment on the coupling between matter and radiation, for which
the multifluid approach would seem less appropriate. The main motivation of the
survey is to illustrate less familiar aspects that come into play in multifluid
problems, establish the relevant "language" and provide a platform for more
detailed work on these issues.
|
[
{
"created": "Thu, 18 Mar 2021 12:46:14 GMT",
"version": "v1"
}
] |
2021-03-19
|
[
[
"Andersson",
"N.",
""
]
] |
This brief review introduces the notion of a relativistic multifluid system -- a multi-component system with identifiable relative flows -- and outlines a set of models for scenarios relevant for different astronomical observation channels. The specific problems used to illustrate the key principles include superfluid hydrodynamics (with relevance for radio and x-ray pulsar timing and gravitational-wave searches), heat flow (connecting to the problem of neutron star cooling and associated x-ray observations) and the coupling between matter and electromagnetism (linking to explosive phenomena like gamma-ray bursts and more subtle issues like the long-term evolution of a neutron star's magnetic field). We also comment on the coupling between matter and radiation, for which the multifluid approach would seem less appropriate. The main motivation of the survey is to illustrate less familiar aspects that come into play in multifluid problems, establish the relevant "language" and provide a platform for more detailed work on these issues.
|
hep-th/0611291
|
Adalto Gomes
|
A.R. Gomes
|
Gravity on the Bloch Brane
|
10 pages, 4 figures
| null | null | null |
hep-th
| null |
Bloch branes were introduced previously and are constructed in a system
described by two real scalar fields coupled with gravity in (4, 1) dimensions
in warped spacetime involving one extra dimension. This work investigates
gravity on such thick branes with internal structure and focuses on the effects
of massive graviton modes localization on the brane and to what extent they
might reproduce the 4d gravity at a scale before escaping into the extra
dimension. In this way gravitational measurements on the brane could reveal the
existence of the extra dimension on some scales, with possible applications on
brane cosmology.
|
[
{
"created": "Mon, 27 Nov 2006 17:41:19 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Gomes",
"A. R.",
""
]
] |
Bloch branes were introduced previously and are constructed in a system described by two real scalar fields coupled with gravity in (4, 1) dimensions in warped spacetime involving one extra dimension. This work investigates gravity on such thick branes with internal structure and focuses on the effects of massive graviton modes localization on the brane and to what extent they might reproduce the 4d gravity at a scale before escaping into the extra dimension. In this way gravitational measurements on the brane could reveal the existence of the extra dimension on some scales, with possible applications on brane cosmology.
|
1312.7474
|
Dimitrios Giataganas
|
Dimitrios Giataganas, Hesam Soltanpanahi
|
Heavy Quark Diffusion in Strongly Coupled Anisotropic Plasmas
|
1+25 pages, 17 figures
|
JHEP 1406 (2014) 047
|
10.1007/JHEP06(2014)047
|
WITS-CTP-125
|
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the Langevin diffusion of a relativistic heavy quark in anisotropic
strongly coupled theories in the local limit. Firstly, we use the axion
space-dependent deformed anisotropic N=4 sYM, where the geometry anisotropy is
always prolate, while the pressure anisotropy may be prolate or oblate. For
motion along the anisotropic direction we find that the effective temperature
for the quark can be larger than the heat bath temperature, in contrast to what
happens in the isotropic theory. The longitudinal and transverse Langevin
diffusion coefficients depend strongly on the anisotropy, the direction of
motion and the transverse direction considered. We analyze the anisotropy
effects to the coefficients and compare them to each other and to them of the
isotropic theory. To examine the dependence of the coefficients on the type of
the geometry, we consider another bottom-up anisotropic model. Changing the
geometry from prolate to oblate, certain diffusion coefficients interchange
their behaviors. In both anisotropic backgrounds we find cases that the
transverse diffusion coefficient is larger than the longitudinal, but we find
no negative excess noise.
|
[
{
"created": "Sat, 28 Dec 2013 21:10:04 GMT",
"version": "v1"
}
] |
2015-03-25
|
[
[
"Giataganas",
"Dimitrios",
""
],
[
"Soltanpanahi",
"Hesam",
""
]
] |
We study the Langevin diffusion of a relativistic heavy quark in anisotropic strongly coupled theories in the local limit. Firstly, we use the axion space-dependent deformed anisotropic N=4 sYM, where the geometry anisotropy is always prolate, while the pressure anisotropy may be prolate or oblate. For motion along the anisotropic direction we find that the effective temperature for the quark can be larger than the heat bath temperature, in contrast to what happens in the isotropic theory. The longitudinal and transverse Langevin diffusion coefficients depend strongly on the anisotropy, the direction of motion and the transverse direction considered. We analyze the anisotropy effects to the coefficients and compare them to each other and to them of the isotropic theory. To examine the dependence of the coefficients on the type of the geometry, we consider another bottom-up anisotropic model. Changing the geometry from prolate to oblate, certain diffusion coefficients interchange their behaviors. In both anisotropic backgrounds we find cases that the transverse diffusion coefficient is larger than the longitudinal, but we find no negative excess noise.
|
hep-th/9911180
|
Ali Chamseddine
|
A. H. Chamseddine and W. A. Sabra (CAMS, AUB)
|
D=7 SU(2) Gauged Supergravity From D=10 Supergravity
|
10 pages. References added and some comments modified
|
Phys.Lett. B476 (2000) 415-419
|
10.1016/S0370-2693(00)00129-5
|
CAMS/99-04
|
hep-th
| null |
The theory of SU(2) gauged seven-dimensional supergravity is obtained by
compactifying ten dimensional N=1 supergravity on the group manifold SU(2).
|
[
{
"created": "Tue, 23 Nov 1999 17:04:55 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Nov 1999 16:46:10 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Chamseddine",
"A. H.",
"",
"CAMS, AUB"
],
[
"Sabra",
"W. A.",
"",
"CAMS, AUB"
]
] |
The theory of SU(2) gauged seven-dimensional supergravity is obtained by compactifying ten dimensional N=1 supergravity on the group manifold SU(2).
|
2110.14788
|
Carlo Marzo
|
Carlo Marzo
|
Radiatively stable ghost and tachyon freedom in Metric Affine Gravity
|
22 pages, no figures
| null |
10.1103/PhysRevD.106.024045
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We report the existence of a ghost- and tachyon-free sector in metric-affine
theories of gravity, that is invariant under diffeomorphism and a particular
abelian symmetry. In contrast with many studied cases in the literature, the
constraints for unitarity and causality are granted by non-accidental
symmetries and do not ask for further tuning, whose fate under renormalization
would be unclear. Unsurprisingly, the minimal model is massless. We find that a
mechanism to provide mass is accommodated by a simple Stueckelberg extension of
metric-affine gravity involving the non-metricity tensor. A non-trivial result
is that also such an extension describes a ghost- and tachyon-free dynamic
stabilized by the same abelian symmetry. The resulting spectrum of the
collective rank-3, rank-2, and rank-0 Lagrangian is investigated with the
operators recently computed in the literature.
|
[
{
"created": "Wed, 27 Oct 2021 21:40:49 GMT",
"version": "v1"
}
] |
2022-08-03
|
[
[
"Marzo",
"Carlo",
""
]
] |
We report the existence of a ghost- and tachyon-free sector in metric-affine theories of gravity, that is invariant under diffeomorphism and a particular abelian symmetry. In contrast with many studied cases in the literature, the constraints for unitarity and causality are granted by non-accidental symmetries and do not ask for further tuning, whose fate under renormalization would be unclear. Unsurprisingly, the minimal model is massless. We find that a mechanism to provide mass is accommodated by a simple Stueckelberg extension of metric-affine gravity involving the non-metricity tensor. A non-trivial result is that also such an extension describes a ghost- and tachyon-free dynamic stabilized by the same abelian symmetry. The resulting spectrum of the collective rank-3, rank-2, and rank-0 Lagrangian is investigated with the operators recently computed in the literature.
|
2102.10816
|
Margaret Millhouse
|
Yi Shuen C. Lee, Margaret Millhouse, Andrew Melatos
|
Enhancing gravitational-wave burst detection confidence in expanded
detector networks with the BayesWave pipeline
|
13 pages, 7 figures, accepted for publication in Physical Review D
| null |
10.1103/PhysRevD.103.062002
| null |
gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
The global gravitational-wave detector network achieves higher detection
rates, better parameter estimates, and more accurate sky localisation, as the
number of detectors, $\mathcal{I}$ increases. This paper quantifies network
performance as a function of $\mathcal{I}$ for BayesWave, a source-agnostic,
wavelet-based, Bayesian algorithm which distinguishes between true
astrophysical signals and instrumental glitches. Detection confidence is
quantified using the signal-to-glitch Bayes factor,
$\mathcal{B}_{\mathcal{S},\mathcal{G}}$. An analytic scaling is derived for
$\mathcal{B}_{\mathcal{S},\mathcal{G}}$ versus $\mathcal{I}$, the number of
wavelets, and the network signal-to-noise ratio, SNR$_\text{net}$, which is
confirmed empirically via injections into detector noise of the
Hanford-Livingston (HL), Hanford-Livingston-Virgo (HLV), and
Hanford-Livingston-KAGRA-Virgo (HLKV) networks at projected sensitivities for
the fourth observing run (O4). The empirical and analytic scalings are
consistent; $\mathcal{B}_{\mathcal{S},\mathcal{G}}$ increases with
$\mathcal{I}$. The accuracy of waveform reconstruction is quantified using the
overlap between injected and recovered waveform, $\mathcal{O}_\text{net}$. The
HLV and HLKV network recovers $87\%$ and $86\%$ of the injected waveforms with
$\mathcal{O}_\text{net}>0.8$ respectively, compared to $81\%$ with the HL
network. The accuracy of BayesWave sky localisation is $\approx 10$ times
better for the HLV network than the HL network, as measured by the search area,
$\mathcal{A}$, and the sky areas contained within $50\%$ and $90\%$ confidence
intervals. Marginal improvement in sky localisation is also observed with the
addition of KAGRA.
|
[
{
"created": "Mon, 22 Feb 2021 08:07:39 GMT",
"version": "v1"
}
] |
2021-03-31
|
[
[
"Lee",
"Yi Shuen C.",
""
],
[
"Millhouse",
"Margaret",
""
],
[
"Melatos",
"Andrew",
""
]
] |
The global gravitational-wave detector network achieves higher detection rates, better parameter estimates, and more accurate sky localisation, as the number of detectors, $\mathcal{I}$ increases. This paper quantifies network performance as a function of $\mathcal{I}$ for BayesWave, a source-agnostic, wavelet-based, Bayesian algorithm which distinguishes between true astrophysical signals and instrumental glitches. Detection confidence is quantified using the signal-to-glitch Bayes factor, $\mathcal{B}_{\mathcal{S},\mathcal{G}}$. An analytic scaling is derived for $\mathcal{B}_{\mathcal{S},\mathcal{G}}$ versus $\mathcal{I}$, the number of wavelets, and the network signal-to-noise ratio, SNR$_\text{net}$, which is confirmed empirically via injections into detector noise of the Hanford-Livingston (HL), Hanford-Livingston-Virgo (HLV), and Hanford-Livingston-KAGRA-Virgo (HLKV) networks at projected sensitivities for the fourth observing run (O4). The empirical and analytic scalings are consistent; $\mathcal{B}_{\mathcal{S},\mathcal{G}}$ increases with $\mathcal{I}$. The accuracy of waveform reconstruction is quantified using the overlap between injected and recovered waveform, $\mathcal{O}_\text{net}$. The HLV and HLKV network recovers $87\%$ and $86\%$ of the injected waveforms with $\mathcal{O}_\text{net}>0.8$ respectively, compared to $81\%$ with the HL network. The accuracy of BayesWave sky localisation is $\approx 10$ times better for the HLV network than the HL network, as measured by the search area, $\mathcal{A}$, and the sky areas contained within $50\%$ and $90\%$ confidence intervals. Marginal improvement in sky localisation is also observed with the addition of KAGRA.
|
1708.04884
|
Diego Trancanelli
|
Michelangelo Preti, Diego Trancanelli, Edoardo Vescovi
|
Quark-antiquark potential in defect conformal field theory
|
25 pages, 5 figures; v2: minor changes, references added, published
version; v3: clarifications in Sec. 4
|
JHEP 10 (2017) 079
|
10.1007/JHEP10(2017)079
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider antiparallel Wilson lines in N=4 super Yang-Mills in the presence
of a codimension-1 defect. We compute the Wilson lines' expectation value both
at weak coupling, in the gauge theory, and at strong coupling, by finding the
string configurations which are dual to this operator. These configurations
display a Gross-Ooguri transition between a connected, U-shaped string phase
and a phase in which the string breaks into two disconnected surfaces. We
analyze in detail the critical configurations separating the two phases and
compare the string result with the gauge theory one in a certain double scaling
limit.
|
[
{
"created": "Wed, 16 Aug 2017 13:24:23 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Oct 2017 16:23:15 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Oct 2017 16:30:31 GMT",
"version": "v3"
}
] |
2017-10-20
|
[
[
"Preti",
"Michelangelo",
""
],
[
"Trancanelli",
"Diego",
""
],
[
"Vescovi",
"Edoardo",
""
]
] |
We consider antiparallel Wilson lines in N=4 super Yang-Mills in the presence of a codimension-1 defect. We compute the Wilson lines' expectation value both at weak coupling, in the gauge theory, and at strong coupling, by finding the string configurations which are dual to this operator. These configurations display a Gross-Ooguri transition between a connected, U-shaped string phase and a phase in which the string breaks into two disconnected surfaces. We analyze in detail the critical configurations separating the two phases and compare the string result with the gauge theory one in a certain double scaling limit.
|
hep-th/0603166
|
Daniel Krefl
|
Daniel Krefl and Dieter Lust
|
On supersymmetric Minkowski vacua in IIB orientifolds
|
17 pages, 2 figures; More detailed proof for absence of complex flat
directions in susy AdS vacua given; Footnotes and reference added
|
JHEP 0606:023,2006
|
10.1088/1126-6708/2006/06/023
|
LMU-ASC 20/06, MPP-2006-27
|
hep-th
| null |
Supersymmetric Minkowski vacua in IIB orientifold compactifications based on
orbifolds with background fluxes and non-perturbative superpotentials are
investigated. Especially, microscopic requirements and difficulties to obtain
such vacua are discussed. We show that orbifold models with one and two complex
structure moduli and supersymmetric 2-form flux can be successfully stabilized
to such vacua. By taking additional gaugino condensation on fixed space-time
filling D3-branes into account also models without complex structure can be
consistently stabilized to Minkowski vacua.
|
[
{
"created": "Tue, 21 Mar 2006 12:55:30 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Apr 2006 12:24:40 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Krefl",
"Daniel",
""
],
[
"Lust",
"Dieter",
""
]
] |
Supersymmetric Minkowski vacua in IIB orientifold compactifications based on orbifolds with background fluxes and non-perturbative superpotentials are investigated. Especially, microscopic requirements and difficulties to obtain such vacua are discussed. We show that orbifold models with one and two complex structure moduli and supersymmetric 2-form flux can be successfully stabilized to such vacua. By taking additional gaugino condensation on fixed space-time filling D3-branes into account also models without complex structure can be consistently stabilized to Minkowski vacua.
|
hep-th/9408061
|
Gerald Dunne
|
Gerald Dunne
|
Vacuum Mass Spectra for SU(N) Self-Dual Chern-Simons-Higgs Systems
|
19 pages (LaTeX)
|
Nucl.Phys. B433 (1995) 333-350
|
10.1016/0550-3213(94)00476-U
| null |
hep-th
| null |
We study the $SU(N)$ self-dual Chern-Simons-Higgs systems with adjoint matter
coupling, and show that the sixth order self-dual potential has $p(N)$ gauge
inequivalent degenerate minima, where $p(N)$ is the number of partitions of
$N$. We compute the masses of the gauge and scalar excitations in these
different vacua, revealing an intricate mass structure which reflects the
self-dual nature of the model.
|
[
{
"created": "Wed, 10 Aug 1994 13:30:29 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Dunne",
"Gerald",
""
]
] |
We study the $SU(N)$ self-dual Chern-Simons-Higgs systems with adjoint matter coupling, and show that the sixth order self-dual potential has $p(N)$ gauge inequivalent degenerate minima, where $p(N)$ is the number of partitions of $N$. We compute the masses of the gauge and scalar excitations in these different vacua, revealing an intricate mass structure which reflects the self-dual nature of the model.
|
1501.00474
|
Alfonso Sastre
|
Chris P. Korthals Altes and Alfonso Sastre
|
Caloron correction to the effective potential in thermal gluodynamics
|
18 pages, 3 figures
| null | null |
CPT-P003-2014, NIKHEF/2014-049, WUB/14-16
|
hep-th hep-lat hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The effective potential in thermal gluodynamics has stable minima in
perturbation theory. There the Wilson line is center group valued and
eigenvalues of the Wilson line stay clustered. Calorons with non-trivial
holonomy contribute to one loop order a linear term in the holonomy. The sign
is such that the center group minimum stays stable.
|
[
{
"created": "Fri, 2 Jan 2015 20:28:26 GMT",
"version": "v1"
}
] |
2015-01-05
|
[
[
"Altes",
"Chris P. Korthals",
""
],
[
"Sastre",
"Alfonso",
""
]
] |
The effective potential in thermal gluodynamics has stable minima in perturbation theory. There the Wilson line is center group valued and eigenvalues of the Wilson line stay clustered. Calorons with non-trivial holonomy contribute to one loop order a linear term in the holonomy. The sign is such that the center group minimum stays stable.
|
1207.0413
|
Adam Rej
|
Benjamin Basso, Adam Rej
|
On the integrability of two-dimensional models with U(1)xSU(N) symmetry
|
61 pages, 7 figures
| null |
10.1016/j.nuclphysb.2012.09.003
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study the integrability of a family of models with
U(1)xSU(N) symmetry. They admit fermionic and bosonic formulations related
through bosonization and subsequent T-duality. The fermionic theory is just the
CP^(N-1) sigma model coupled to a self-interacting massless fermion, while the
bosonic one defines a one-parameter deformation of the O(2N) sigma model. For
N=2 the latter model is equivalent to the integrable deformation of the O(4)
sigma model discovered by Wiegmann. At higher values of N we find that
integrability is more sporadic and requires a fine-tuning of the parameters of
the theory. A special case of our study is the N=4 model, which was found to
describe the AdS_4xCP^3 string theory in the Alday-Maldacena decoupling limit.
In this case we propose a set of asymptotic Bethe ansatz equations for the
energy spectrum.
|
[
{
"created": "Mon, 2 Jul 2012 14:51:01 GMT",
"version": "v1"
}
] |
2015-06-05
|
[
[
"Basso",
"Benjamin",
""
],
[
"Rej",
"Adam",
""
]
] |
In this paper we study the integrability of a family of models with U(1)xSU(N) symmetry. They admit fermionic and bosonic formulations related through bosonization and subsequent T-duality. The fermionic theory is just the CP^(N-1) sigma model coupled to a self-interacting massless fermion, while the bosonic one defines a one-parameter deformation of the O(2N) sigma model. For N=2 the latter model is equivalent to the integrable deformation of the O(4) sigma model discovered by Wiegmann. At higher values of N we find that integrability is more sporadic and requires a fine-tuning of the parameters of the theory. A special case of our study is the N=4 model, which was found to describe the AdS_4xCP^3 string theory in the Alday-Maldacena decoupling limit. In this case we propose a set of asymptotic Bethe ansatz equations for the energy spectrum.
|
2403.07665
|
Canberk Sanli
|
Joris Raeymaekers, Canberk Sanli, Dieter Van den Bleeken
|
Superconformal indices and localization in $N=2B$ quantum mechanics
|
31 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Superconformal `type B' quantum mechanical sigma models arise in a variety of
interesting contexts, such as the description of D-brane bound states in an
AdS$_2$ decoupling limit. Focusing on $N=2B$ models, we study superconformal
indices which count short multiplets and provide an alternative to the standard
Witten index, as the latter suffers from infrared issues. We show that the
basic index receives contributions from lowest Landau level states in an
effective magnetic field and that, due to the noncompactness of the target
space, it is typically divergent. Fortunately, the models of interest possess
an additional target space isometry which allows for the definition of a
well-behaved refined index. We compute this index using localization of the
functional integral and find that the result agrees with a naive application of
the Atiyah-Bott fixed point formula outside of it's starting assumptions. In
the simplest examples, this formula can also be directly verified by explicitly
computing the short multiplet spectrum.
|
[
{
"created": "Tue, 12 Mar 2024 13:54:44 GMT",
"version": "v1"
}
] |
2024-03-13
|
[
[
"Raeymaekers",
"Joris",
""
],
[
"Sanli",
"Canberk",
""
],
[
"Bleeken",
"Dieter Van den",
""
]
] |
Superconformal `type B' quantum mechanical sigma models arise in a variety of interesting contexts, such as the description of D-brane bound states in an AdS$_2$ decoupling limit. Focusing on $N=2B$ models, we study superconformal indices which count short multiplets and provide an alternative to the standard Witten index, as the latter suffers from infrared issues. We show that the basic index receives contributions from lowest Landau level states in an effective magnetic field and that, due to the noncompactness of the target space, it is typically divergent. Fortunately, the models of interest possess an additional target space isometry which allows for the definition of a well-behaved refined index. We compute this index using localization of the functional integral and find that the result agrees with a naive application of the Atiyah-Bott fixed point formula outside of it's starting assumptions. In the simplest examples, this formula can also be directly verified by explicitly computing the short multiplet spectrum.
|
hep-th/0108201
|
Christoph Schweigert
|
Pedro Bordalo, Sylvain Ribault, Christoph Schweigert
|
Flux stabilization in compact groups
|
13 pages, 1 figure. Comment and references added
|
JHEP 0110 (2001) 036
|
10.1088/1126-6708/2001/10/036
|
CPTH-S035.0701, PAR-LPTHE 01-36
|
hep-th
| null |
We consider the Born-Infeld action for symmetry-preserving, orientable
D-branes in compact group manifolds. We find classical solutions that obey the
flux quantization condition. They correspond to conformally invariant boundary
conditions on the world sheet. We compute the spectrum of quadratic
fluctuations and find agreement with the predictions of conformal field theory,
up to a missing level-dependent truncation. Our results extend to D-branes with
the geometry of twined conjugacy classes; they illustrate the mechanism of flux
stabilization of D-branes.
|
[
{
"created": "Mon, 27 Aug 2001 19:32:41 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Oct 2001 16:57:13 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Bordalo",
"Pedro",
""
],
[
"Ribault",
"Sylvain",
""
],
[
"Schweigert",
"Christoph",
""
]
] |
We consider the Born-Infeld action for symmetry-preserving, orientable D-branes in compact group manifolds. We find classical solutions that obey the flux quantization condition. They correspond to conformally invariant boundary conditions on the world sheet. We compute the spectrum of quadratic fluctuations and find agreement with the predictions of conformal field theory, up to a missing level-dependent truncation. Our results extend to D-branes with the geometry of twined conjugacy classes; they illustrate the mechanism of flux stabilization of D-branes.
|
hep-th/0206029
|
Changhyun Ahn
|
Changhyun Ahn
|
Penrose Limit of AdS_4 x V_{5,2} and Operators with Large R Charge
|
13 pp, to appear in MPLA
|
Mod.Phys.Lett. A17 (2002) 2067-2078
|
10.1142/S0217732302008654
| null |
hep-th
| null |
We consider M-theory on AdS_4 x V_{5,2} where V_{5,2}= SO(5)/SO(3) is a
Stiefel manifold. We construct a Penrose limit of AdS_4 x V_{5,2} that provides
the pp-wave geometry. There exists a subsector of three dimensional N=2 dual
gauge theory, by taking both the conformal dimension and R charge large with
the finiteness of their difference, which has enhanced N=8 maximal
supersymmetry. We identify operators in the N=2 gauge theory with supergravity
KK excitations in the pp-wave geometry and describe how the gauge theory
operators made out of chiral field of conformal dimension 1/3 fall into N=8
supermultiplets.
|
[
{
"created": "Tue, 4 Jun 2002 12:03:27 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Oct 2002 11:12:12 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Ahn",
"Changhyun",
""
]
] |
We consider M-theory on AdS_4 x V_{5,2} where V_{5,2}= SO(5)/SO(3) is a Stiefel manifold. We construct a Penrose limit of AdS_4 x V_{5,2} that provides the pp-wave geometry. There exists a subsector of three dimensional N=2 dual gauge theory, by taking both the conformal dimension and R charge large with the finiteness of their difference, which has enhanced N=8 maximal supersymmetry. We identify operators in the N=2 gauge theory with supergravity KK excitations in the pp-wave geometry and describe how the gauge theory operators made out of chiral field of conformal dimension 1/3 fall into N=8 supermultiplets.
|
2103.14684
|
Martin Hurtado Heredia
|
A.E. Faraggi, S. Groot Nibbelink, M. Hurtado-Heredia
|
Constraint on Spinor-Vector Dualities in Six Dimensions
|
1+19 pages, LaTeX
|
Phys. Rev. D 103, 126016 (2021)
|
10.1103/PhysRevD.103.126016
|
LTH-1258
|
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Imprints of spinor-vector dualities have been uncovered in various string
constructions. They are typically induced by changing certain free general GSO
phases in the underlying string partition functions. This paper shows that
spinor-vector dualities in six dimensions are constrained by a fundamental
effective field theory consistency condition, namely that any six dimensional
low energy theory must be free of irreducible SO(2N) anomalies. Aspects of
spinor-vector dualities are analysed in four six-dimensional free fermionic
models which are distinguished by two generalised GSO phases. In addition, the
constraint on the number of spinors and vectors is confirmed on generic spectra
which may occur in K3 line bundle compactifications of the heterotic E8xE8
string.
|
[
{
"created": "Fri, 26 Mar 2021 18:47:21 GMT",
"version": "v1"
}
] |
2021-06-23
|
[
[
"Faraggi",
"A. E.",
""
],
[
"Nibbelink",
"S. Groot",
""
],
[
"Hurtado-Heredia",
"M.",
""
]
] |
Imprints of spinor-vector dualities have been uncovered in various string constructions. They are typically induced by changing certain free general GSO phases in the underlying string partition functions. This paper shows that spinor-vector dualities in six dimensions are constrained by a fundamental effective field theory consistency condition, namely that any six dimensional low energy theory must be free of irreducible SO(2N) anomalies. Aspects of spinor-vector dualities are analysed in four six-dimensional free fermionic models which are distinguished by two generalised GSO phases. In addition, the constraint on the number of spinors and vectors is confirmed on generic spectra which may occur in K3 line bundle compactifications of the heterotic E8xE8 string.
|
hep-th/9702022
|
Stanislaw Mrowczynski
|
Stanislaw Mrowczynski
|
Transport Theory of Massless Fields
|
32 pages, no macros
|
Phys.Rev.D56:2265-2280,1997
|
10.1103/PhysRevD.56.2265
| null |
hep-th
| null |
Using the Schwinger-Keldysh technique we discuss how to derive the transport
equations for the system of massless quantum fields. We analyse the scalar
field models with quartic and cubic interaction terms. In the $\phi^4$ model
the massive quasiparticles appear due to the self-interaction of massless bare
fields. Therefore, the derivation of the transport equations strongly resembles
that one of the massive fields, but the subset of diagrams which provide the
quasiparticle mass has to be resummed. The kinetic equation for the finite
width quasiparticles is found, where, except the mean-field and collision
terms, there are terms which are absent in the standard Boltzmann equation. The
structure of these terms is discussed. In the massless $\phi^3$ model the
massive quasiparticles do not emerge and presumably there is no transport
theory corresponding to this model. It is not surprising since the $\phi^3$
model is anyhow ill defined.
|
[
{
"created": "Mon, 3 Feb 1997 17:31:16 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Mrowczynski",
"Stanislaw",
""
]
] |
Using the Schwinger-Keldysh technique we discuss how to derive the transport equations for the system of massless quantum fields. We analyse the scalar field models with quartic and cubic interaction terms. In the $\phi^4$ model the massive quasiparticles appear due to the self-interaction of massless bare fields. Therefore, the derivation of the transport equations strongly resembles that one of the massive fields, but the subset of diagrams which provide the quasiparticle mass has to be resummed. The kinetic equation for the finite width quasiparticles is found, where, except the mean-field and collision terms, there are terms which are absent in the standard Boltzmann equation. The structure of these terms is discussed. In the massless $\phi^3$ model the massive quasiparticles do not emerge and presumably there is no transport theory corresponding to this model. It is not surprising since the $\phi^3$ model is anyhow ill defined.
|
hep-th/9703028
|
Oleg Soloviev
|
I. I. Kogan (Oxford Univ.), A. Lewis (Oxford Univ.) and O. A. Soloviev
(Queen Mary College)
|
Knizhnik-Zamolodchikov-type equations for gauged WZNW models
|
24 pages, latex, no figures. More discussion of logarithmic operators
was added
|
Int.J.Mod.Phys.A13:1345-1367,1998
|
10.1142/S0217751X98000639
|
QMW-PH-97-5, OU-TP-97-11P
|
hep-th
| null |
We study correlation functions of coset constructions by utilizing the method
of gauge dressing. As an example we apply this method to the minimal models and
to the Witten 2D black hole. We exhibit a striking similarity between the
latter and the gravitational dressing. In particular, we look for logarithmic
operators in the 2D black hole.
|
[
{
"created": "Tue, 4 Mar 1997 16:38:31 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Mar 1997 11:49:02 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Kogan",
"I. I.",
"",
"Oxford Univ."
],
[
"Lewis",
"A.",
"",
"Oxford Univ."
],
[
"Soloviev",
"O. A.",
"",
"Queen Mary College"
]
] |
We study correlation functions of coset constructions by utilizing the method of gauge dressing. As an example we apply this method to the minimal models and to the Witten 2D black hole. We exhibit a striking similarity between the latter and the gravitational dressing. In particular, we look for logarithmic operators in the 2D black hole.
|
hep-th/0412302
|
Oleg Shvedov
|
O.Yu.Shvedov
|
An Axiomatic Approach to Semiclassical Field Perturbation Theory
|
32 pages, LaTeX, margins are corrected due to problems with viewing
the PostScript file
| null | null | null |
hep-th
| null |
Semiclassical perturbation theory is investigated within the framework of
axiomatic field theory. Axioms of perturbation semiclassical theory are
formulated. Their correspondence with LSZ approach and Schwinger source theory
is studied. Semiclassical S-matrix, as well as examples of decay processes, are
considered in this framework.
|
[
{
"created": "Sun, 26 Dec 2004 23:45:03 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Jan 2005 08:50:52 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Shvedov",
"O. Yu.",
""
]
] |
Semiclassical perturbation theory is investigated within the framework of axiomatic field theory. Axioms of perturbation semiclassical theory are formulated. Their correspondence with LSZ approach and Schwinger source theory is studied. Semiclassical S-matrix, as well as examples of decay processes, are considered in this framework.
|
hep-th/0610212
|
Sebastian Franco
|
Riccardo Argurio, Matteo Bertolini, Sebastian Franco and Shamit Kachru
|
Gauge/gravity duality and meta-stable dynamical supersymmetry breaking
|
45 pages, 19 figures. v2: comment on stability of dynamical masses
and one reference added, typos corrected
|
JHEP 0701:083,2007
|
10.1088/1126-6708/2007/01/083
| null |
hep-th
| null |
We engineer a class of quiver gauge theories with several interesting
features by studying D-branes at a simple Calabi-Yau singularity. At weak 't
Hooft coupling we argue using field theory techniques that these theories admit
both supersymmetric vacua and meta-stable non-supersymmetric vacua, though the
arguments indicating the existence of the supersymmetry breaking states are not
decisive. At strong 't Hooft coupling we find simple candidate gravity dual
descriptions for both sets of vacua.
|
[
{
"created": "Wed, 18 Oct 2006 20:02:05 GMT",
"version": "v1"
},
{
"created": "Thu, 10 May 2007 16:09:02 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Argurio",
"Riccardo",
""
],
[
"Bertolini",
"Matteo",
""
],
[
"Franco",
"Sebastian",
""
],
[
"Kachru",
"Shamit",
""
]
] |
We engineer a class of quiver gauge theories with several interesting features by studying D-branes at a simple Calabi-Yau singularity. At weak 't Hooft coupling we argue using field theory techniques that these theories admit both supersymmetric vacua and meta-stable non-supersymmetric vacua, though the arguments indicating the existence of the supersymmetry breaking states are not decisive. At strong 't Hooft coupling we find simple candidate gravity dual descriptions for both sets of vacua.
|
0911.0613
|
Markus Pak
|
H. Reinhardt, G. Burgio, D. R. Campagnari, D. Epple, C. Feuchter, M.
Leder, M. Pak, J. M. Pawlowski, M. Quandt, W. Schleifenbaum, A. Weber
|
Hamiltonian approach to Yang-Mills theory in Coulomb gauge
|
12 pages, 20 figures. Invited talk given by H. Reinhardt at the
Workshop on QCD Green's Functions, Confinement and Phenomenology, September
2009, Trento
|
PoS QCD-TNT09:038,2009
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I review results recently obtained within the Hamiltonian approach to
Yang-Mills theory in Coulomb gauge. In particular, I will present results for
the ghost and gluon propagators and compare these with recent lattice data.
Furthermore, I will give an interpretation of the inverse of the ghost form
factor as the dielectric function of the Yang-Mills vacuum. Our ansatz for the
vacuum wave functional will be checked by means of functional renormalization
group flow equations, which are solved for the gluon energy and the ghost form
factor. Finally, we calculate the Wilson loop for the vacuum wave functional
obtained from the variational approach, using a Dyson equation.
|
[
{
"created": "Tue, 3 Nov 2009 16:47:22 GMT",
"version": "v1"
}
] |
2011-07-14
|
[
[
"Reinhardt",
"H.",
""
],
[
"Burgio",
"G.",
""
],
[
"Campagnari",
"D. R.",
""
],
[
"Epple",
"D.",
""
],
[
"Feuchter",
"C.",
""
],
[
"Leder",
"M.",
""
],
[
"Pak",
"M.",
""
],
[
"Pawlowski",
"J. M.",
""
],
[
"Quandt",
"M.",
""
],
[
"Schleifenbaum",
"W.",
""
],
[
"Weber",
"A.",
""
]
] |
I review results recently obtained within the Hamiltonian approach to Yang-Mills theory in Coulomb gauge. In particular, I will present results for the ghost and gluon propagators and compare these with recent lattice data. Furthermore, I will give an interpretation of the inverse of the ghost form factor as the dielectric function of the Yang-Mills vacuum. Our ansatz for the vacuum wave functional will be checked by means of functional renormalization group flow equations, which are solved for the gluon energy and the ghost form factor. Finally, we calculate the Wilson loop for the vacuum wave functional obtained from the variational approach, using a Dyson equation.
|
2304.02092
|
Arvin Ravanpak
|
Arvin Ravanpak and Golnaz Farpour Fadakar
|
Logamediate inflation in DGP cosmology driven by a non-canonical scalar
field
| null |
Gravitation and Cosmology, Vol.29, No.1, pp 88-94, 2023
|
10.1134/S0202289323010085
| null |
gr-qc
|
http://creativecommons.org/publicdomain/zero/1.0/
|
The main properties of the logamediate inflation driven by a non-canonical
scalar field in the framework of DGP braneworld gravity are investigated.
Considering high energy conditions we calculate the slow-roll parameters,
analytically. Then, we deal with the perturbation theory and calculate the most
important respective parameters such as the scalar spectral index and the
tensor-to-scalar ratio. We find that the spectrum of scalar fluctuations is
always red-tilted. Also, we understand that the running in the scalar spectral
index is nearly zero. Finally, we compare this inflationary scenario with the
latest observational results from Planck 2018.
|
[
{
"created": "Tue, 4 Apr 2023 19:40:28 GMT",
"version": "v1"
}
] |
2023-04-06
|
[
[
"Ravanpak",
"Arvin",
""
],
[
"Fadakar",
"Golnaz Farpour",
""
]
] |
The main properties of the logamediate inflation driven by a non-canonical scalar field in the framework of DGP braneworld gravity are investigated. Considering high energy conditions we calculate the slow-roll parameters, analytically. Then, we deal with the perturbation theory and calculate the most important respective parameters such as the scalar spectral index and the tensor-to-scalar ratio. We find that the spectrum of scalar fluctuations is always red-tilted. Also, we understand that the running in the scalar spectral index is nearly zero. Finally, we compare this inflationary scenario with the latest observational results from Planck 2018.
|
hep-th/9802145
|
Margherita Disertori
|
M. Disertori, V. Rivasseau (Centre de Physique Theorique, CNRS UPR,
Ecole Polytechnique, France)
|
Continuous Constructive Fermionic Renormalization
|
63 pages, 23 figures, LateX file. version 2 : rewriting subsections
IV.3.4 and IV.3.5, 2 figures added and some typos corrected
|
Annales Henri Poincare 1:1-57,2000
| null | null |
hep-th
| null |
We build the two dimensional Gross-Neveu model by a new method which requires
neither cluster expansion nor discretization of phase-space. It simply
reorganizes the perturbative series in terms of trees. With this method we can
for the first time define non perturbatively the renormalization group
differential equations of the model and at the same time construct explicitly
their solution.
|
[
{
"created": "Fri, 20 Feb 1998 17:03:11 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Apr 1998 14:24:40 GMT",
"version": "v2"
}
] |
2009-05-07
|
[
[
"Disertori",
"M.",
"",
"Centre de Physique Theorique, CNRS UPR,\n Ecole Polytechnique, France"
],
[
"Rivasseau",
"V.",
"",
"Centre de Physique Theorique, CNRS UPR,\n Ecole Polytechnique, France"
]
] |
We build the two dimensional Gross-Neveu model by a new method which requires neither cluster expansion nor discretization of phase-space. It simply reorganizes the perturbative series in terms of trees. With this method we can for the first time define non perturbatively the renormalization group differential equations of the model and at the same time construct explicitly their solution.
|
2405.15588
|
Rudra Prakash Malik
|
S. K. Panja, E. Harikumar, R. P. Malik
|
Modified 3D Massive Abelian 2-From Theory with a Single Pseudo-Scalar
Field: BRST Approach
|
LaTeX file, 33 pages, no figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We obtain the off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and
anti-BRST symmetry transformations (corresponding to the infinitesimal
classical gauge symmetry transformations) for the St${\ddot
u}$ckelberg-modified massive three $(2 + 1)$-dimensional (3D) Abelian 2-form
gauge theory with a single pseudo-scalar field. The latter field (having the
negative kinetic term and a well-defined mass) has already been shown (i) to
exist in the modified version of the standard 3D St${\ddot u}$ckelberg
formalism (on solid mathematical grounds), (ii) to be a possible candidate for
dark matter, and (iii) to correspond to the ``phantom" field of some of the
cosmological models of the Universe. A couple of highlights of our present
endeavor are (i) the observation that, even though the pseudo-scalar field does
not transform under the gauge and (anti-)BRST symmetry transformations, it
appears in the first-class constraints which annihilate the physical states at
the quantum level, and (ii) the Noether conserved (anti-)BRST charges are found
to be non-nilpotent. In our present investigation, we derive (i) the coupled
(but equivalent) BRST and anti-BRST invariant Lagrangian densities, (ii) the
conserved and off-shell nilpotent versions of the (anti-)BRST charges and the
conserved ghost charge, (iii) the (anti-)BRST invariant Curci-Ferrari (CF) type
restrictions, and (iv) the standard BRST algebra amongst the conserved and
nilpotent (anti-)BRST and conserved ghost charges of our theory.
|
[
{
"created": "Fri, 24 May 2024 14:20:00 GMT",
"version": "v1"
}
] |
2024-05-27
|
[
[
"Panja",
"S. K.",
""
],
[
"Harikumar",
"E.",
""
],
[
"Malik",
"R. P.",
""
]
] |
We obtain the off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations (corresponding to the infinitesimal classical gauge symmetry transformations) for the St${\ddot u}$ckelberg-modified massive three $(2 + 1)$-dimensional (3D) Abelian 2-form gauge theory with a single pseudo-scalar field. The latter field (having the negative kinetic term and a well-defined mass) has already been shown (i) to exist in the modified version of the standard 3D St${\ddot u}$ckelberg formalism (on solid mathematical grounds), (ii) to be a possible candidate for dark matter, and (iii) to correspond to the ``phantom" field of some of the cosmological models of the Universe. A couple of highlights of our present endeavor are (i) the observation that, even though the pseudo-scalar field does not transform under the gauge and (anti-)BRST symmetry transformations, it appears in the first-class constraints which annihilate the physical states at the quantum level, and (ii) the Noether conserved (anti-)BRST charges are found to be non-nilpotent. In our present investigation, we derive (i) the coupled (but equivalent) BRST and anti-BRST invariant Lagrangian densities, (ii) the conserved and off-shell nilpotent versions of the (anti-)BRST charges and the conserved ghost charge, (iii) the (anti-)BRST invariant Curci-Ferrari (CF) type restrictions, and (iv) the standard BRST algebra amongst the conserved and nilpotent (anti-)BRST and conserved ghost charges of our theory.
|
hep-th/9110042
|
V. P. Nair
|
V.P.Nair (Columbia University)
|
K\"ahler-Chern-Simons Theory
|
10 pages. Invited talks at Strings and Symmetries 1991, Stonybrook,
May 1991 and the XXth International Conference on Differential Geometric
Methods in Theoretical Physics, New York, June 1991
| null | null | null |
hep-th
| null |
K\"ahler-Chern-Simons theory describes antiself-dual gauge fields on a four-
dimensional K\"ahler manifold. The phase space is the space of gauge
potentials, the symplectic reduction of which by the constraints of
antiself-duality leads to the moduli space of antiself-dula instantons. We
outline the theory highlighting the symmetries, their canonical realization and
some properties of the quantum wave functions. The relationship to integrable
systems via dimensional reduction is briefly discussed.
|
[
{
"created": "Tue, 15 Oct 1991 15:35:36 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Nair",
"V. P.",
"",
"Columbia University"
]
] |
K\"ahler-Chern-Simons theory describes antiself-dual gauge fields on a four- dimensional K\"ahler manifold. The phase space is the space of gauge potentials, the symplectic reduction of which by the constraints of antiself-duality leads to the moduli space of antiself-dula instantons. We outline the theory highlighting the symmetries, their canonical realization and some properties of the quantum wave functions. The relationship to integrable systems via dimensional reduction is briefly discussed.
|
0707.2315
|
Oscar Varela
|
Jerome P. Gauntlett and Oscar Varela
|
Consistent Kaluza-Klein Reductions for General Supersymmetric AdS
Solutions
|
21 pages; v2: References, some minor comments, and acknowledgements
added. Version to appear in Phys. Rev. D
|
Phys.Rev.D76:126007,2007
|
10.1103/PhysRevD.76.126007
| null |
hep-th
| null |
For the most general supersymmetric solutions of type IIB supergravity
consisting of a warped product of AdS_5 with a five-dimensional manifold M_5,
we construct an explicit consistent Kaluza-Klein reduction on M_5 to minimal
D=5 gauged supergravity. Thus, any solution of the gauged supergravity can be
uplifted on M_5 to obtain an exact solution of type IIB supergravity. We also
show that for general AdS_4 x SE_7 solutions, where SE_7 is a seven-dimensional
Sasaki-Einstein manifold, and for a general class of supersymmetric solutions
that are a warped product of AdS_4 with a seven-dimensional manifold N_7, there
is an analogous consistent reduction to minimal D=4 gauged supergravity.
|
[
{
"created": "Mon, 16 Jul 2007 13:14:40 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Nov 2007 10:26:55 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Gauntlett",
"Jerome P.",
""
],
[
"Varela",
"Oscar",
""
]
] |
For the most general supersymmetric solutions of type IIB supergravity consisting of a warped product of AdS_5 with a five-dimensional manifold M_5, we construct an explicit consistent Kaluza-Klein reduction on M_5 to minimal D=5 gauged supergravity. Thus, any solution of the gauged supergravity can be uplifted on M_5 to obtain an exact solution of type IIB supergravity. We also show that for general AdS_4 x SE_7 solutions, where SE_7 is a seven-dimensional Sasaki-Einstein manifold, and for a general class of supersymmetric solutions that are a warped product of AdS_4 with a seven-dimensional manifold N_7, there is an analogous consistent reduction to minimal D=4 gauged supergravity.
|
1411.0267
|
Oleg Zaslavskii
|
O. B. Zaslavskii
|
Unbounded energies of debris from head-on particle collisions near black
holes
|
8 pages. Final version
|
Mod. Phys. Lett. A 30 (2015) 1550076
|
10.1142/S0217732315500765
| null |
gr-qc astro-ph.HE hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
If two particles move toward a black hole and collide near the horizon, the
energy E_{c.m.} in the centre of mass can grow unbounded. This is a so-called
Ba\~nados-Silk-West (BSW) effect. One of problems creating obstacles to the
possibility of its observation consists in that individual energy E of a
fragment at infinity remains finite because of redshift. We show that in the
case of head-on collision, debris may have unbounded energy E. An essential
ingredient of this scenario is a particle moving away from a black hole in the
near-horizon region. It can appear due to precedent collision that implies
multiple scattering.
|
[
{
"created": "Sun, 2 Nov 2014 15:20:51 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Dec 2014 12:38:56 GMT",
"version": "v2"
},
{
"created": "Thu, 7 May 2015 19:05:13 GMT",
"version": "v3"
}
] |
2015-05-08
|
[
[
"Zaslavskii",
"O. B.",
""
]
] |
If two particles move toward a black hole and collide near the horizon, the energy E_{c.m.} in the centre of mass can grow unbounded. This is a so-called Ba\~nados-Silk-West (BSW) effect. One of problems creating obstacles to the possibility of its observation consists in that individual energy E of a fragment at infinity remains finite because of redshift. We show that in the case of head-on collision, debris may have unbounded energy E. An essential ingredient of this scenario is a particle moving away from a black hole in the near-horizon region. It can appear due to precedent collision that implies multiple scattering.
|
2004.08506
|
Emilio Rub\'in de Celis
|
E. Rub\'in de Celis and C. Simeone
|
Electrostatics and self-force in asymptotically flat cylindrical
wormholes
|
3 figures
|
Eur. Phys. J C (2020) 80: 501
|
10.1140/epjc/s10052-020-8063-y
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The problem of the electrostatics in conical wormholes is revisited, now
improving the background geometries with asymptotical flatness. The electric
self-force on a point charge placed at different regions in the spacetime of a
conical thin-shell wormhole connecting flat outer submanifolds is obtained and
compared with the results of previous works. The study is also carried out in
terms of a previously introduced analogy in which the effect of the matter
shells on the electric field is reproduced by non-gravitating layers of charge
located on the boundary surfaces. Besides, a better insight on the physical
effects of a non trivial topology is obtained by means of a further analysis of
the electric fluxes across the wormhole throat and at both spatial infinities.
It is found that the throat is traversed by a non-arbitrary and finite
topological flux, proportional to the charge of the source, which is
characteristic of the asymptotically flat cylindrical wormholes regardless of
the details of the throat geometry.
|
[
{
"created": "Sat, 18 Apr 2020 01:57:31 GMT",
"version": "v1"
}
] |
2020-06-17
|
[
[
"de Celis",
"E. Rubín",
""
],
[
"Simeone",
"C.",
""
]
] |
The problem of the electrostatics in conical wormholes is revisited, now improving the background geometries with asymptotical flatness. The electric self-force on a point charge placed at different regions in the spacetime of a conical thin-shell wormhole connecting flat outer submanifolds is obtained and compared with the results of previous works. The study is also carried out in terms of a previously introduced analogy in which the effect of the matter shells on the electric field is reproduced by non-gravitating layers of charge located on the boundary surfaces. Besides, a better insight on the physical effects of a non trivial topology is obtained by means of a further analysis of the electric fluxes across the wormhole throat and at both spatial infinities. It is found that the throat is traversed by a non-arbitrary and finite topological flux, proportional to the charge of the source, which is characteristic of the asymptotically flat cylindrical wormholes regardless of the details of the throat geometry.
|
2406.08969
|
Yong Zhang
|
Yong Zhang
|
New Factorizations of Yang-Mills Amplitudes
|
5+2 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a new factorization pattern for tree-level Yang-Mills (YM)
amplitudes, where they decompose into a sum of products of two lower-point
amplitudes by setting specific two-point non-planar Mandelstam variables within
a rectangular configuration to zero. This approach manifests the hidden zeros
of YM amplitudes recently identified. Furthermore, by setting specific Lorentz
products involving polarization vectors to zero, the amplitudes further reduce
to a sum of products of three currents. These novel factorizations provide a
fresh perspective on the structure of YM amplitudes, potentially enhancing our
understanding and calculation of these fundamental quantities.
|
[
{
"created": "Thu, 13 Jun 2024 09:58:03 GMT",
"version": "v1"
}
] |
2024-06-14
|
[
[
"Zhang",
"Yong",
""
]
] |
We propose a new factorization pattern for tree-level Yang-Mills (YM) amplitudes, where they decompose into a sum of products of two lower-point amplitudes by setting specific two-point non-planar Mandelstam variables within a rectangular configuration to zero. This approach manifests the hidden zeros of YM amplitudes recently identified. Furthermore, by setting specific Lorentz products involving polarization vectors to zero, the amplitudes further reduce to a sum of products of three currents. These novel factorizations provide a fresh perspective on the structure of YM amplitudes, potentially enhancing our understanding and calculation of these fundamental quantities.
|
hep-th/0307284
|
Tino Nyawelo S.
|
T.S. Nyawelo
|
Supersymmetric hydrodynamics
|
14 pages, no figures
|
Nucl.Phys. B672 (2003) 87-100
|
10.1016/j.nuclphysb.2003.09.038
|
NIKHEF/2003-009
|
hep-th
| null |
We work out some properties of a recently proposed globally N = 1
supersymmetric extension of relativistic fluid mechanics in four-dimensional
Minkowski space. We construct the lagrangean, discuss its symmetries and the
corresponding conserved Noether charges. We reformulate the theory in
hamiltonian formulation, and rederive the (supersymmetry and internal)
transformations generated by these charges. Super-Poincare algebra is also
realized in this formulation.
|
[
{
"created": "Tue, 29 Jul 2003 19:42:55 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Nyawelo",
"T. S.",
""
]
] |
We work out some properties of a recently proposed globally N = 1 supersymmetric extension of relativistic fluid mechanics in four-dimensional Minkowski space. We construct the lagrangean, discuss its symmetries and the corresponding conserved Noether charges. We reformulate the theory in hamiltonian formulation, and rederive the (supersymmetry and internal) transformations generated by these charges. Super-Poincare algebra is also realized in this formulation.
|
2305.08185
|
Orr Sela
|
Matteo Sacchi, Orr Sela, Gabi Zafrir
|
5d to 3d compactifications and discrete anomalies
|
36 pages, 8 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Much insight into the dynamics of quantum field theories can be gained by
studying the relationship between field theories in different dimensions. An
interesting observation is that when two theories are related by dimensional
reduction on a compact surface, their 't Hooft anomalies corresponding to
continuous symmetries are also related: the anomaly polynomial of the
lower-dimensional theory can be obtained by integrating that of the
higher-dimensional one on the compact surface. Naturally, this relation only
holds if both theories are even dimensional. This raises the question of
whether similar relations can also hold for the case of anomalies in discrete
symmetries, which might be true even in odd dimensions. The natural
generalization to discrete symmetries is that the anomaly theories, associated
with the lower and higher dimensional theories, would be related by reduction
on the compact surface. We explore this idea for compactifications of 5d
superconformal field theories (SCFTs) to 3d on Riemann surfaces with
global-symmetry fluxes. In this context, it can be used both as a check for
these compactification constructions and for discovering new anomalies in the
5d SCFTs. This opens the way to applying the same idea of dimensional reduction
of the anomaly theory to more general types of compactifications.
|
[
{
"created": "Sun, 14 May 2023 15:25:53 GMT",
"version": "v1"
}
] |
2023-05-16
|
[
[
"Sacchi",
"Matteo",
""
],
[
"Sela",
"Orr",
""
],
[
"Zafrir",
"Gabi",
""
]
] |
Much insight into the dynamics of quantum field theories can be gained by studying the relationship between field theories in different dimensions. An interesting observation is that when two theories are related by dimensional reduction on a compact surface, their 't Hooft anomalies corresponding to continuous symmetries are also related: the anomaly polynomial of the lower-dimensional theory can be obtained by integrating that of the higher-dimensional one on the compact surface. Naturally, this relation only holds if both theories are even dimensional. This raises the question of whether similar relations can also hold for the case of anomalies in discrete symmetries, which might be true even in odd dimensions. The natural generalization to discrete symmetries is that the anomaly theories, associated with the lower and higher dimensional theories, would be related by reduction on the compact surface. We explore this idea for compactifications of 5d superconformal field theories (SCFTs) to 3d on Riemann surfaces with global-symmetry fluxes. In this context, it can be used both as a check for these compactification constructions and for discovering new anomalies in the 5d SCFTs. This opens the way to applying the same idea of dimensional reduction of the anomaly theory to more general types of compactifications.
|
1904.12392
|
Ali Chamseddine
|
Ali H. Chamseddine and Walter D. van Suijlekom
|
A survey of spectral models of gravity coupled to matter
|
An appendix is added to include scalar potential analysis for a
Pati-Salam model. 58 Pages
| null |
10.1007/978-3-030-29597-4_1
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This is a survey of the historical development of the Spectral Standard Model
and beyond, starting with the ground breaking paper of Alain Connes in 1988
where he observed that there is a link between Higgs fields and finite
noncommutative spaces. We present the important contributions that helped in
the search and identification of the noncommutative space that characterizes
the fine structure of space-time. The nature and properties of the
noncommutative space are arrived at by independent routes and show the
uniqueness of the Spectral Standard Model at low energies and the Pati-Salam
unification model at high energies.
|
[
{
"created": "Sun, 28 Apr 2019 22:25:36 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Jun 2019 16:40:11 GMT",
"version": "v2"
}
] |
2020-08-05
|
[
[
"Chamseddine",
"Ali H.",
""
],
[
"van Suijlekom",
"Walter D.",
""
]
] |
This is a survey of the historical development of the Spectral Standard Model and beyond, starting with the ground breaking paper of Alain Connes in 1988 where he observed that there is a link between Higgs fields and finite noncommutative spaces. We present the important contributions that helped in the search and identification of the noncommutative space that characterizes the fine structure of space-time. The nature and properties of the noncommutative space are arrived at by independent routes and show the uniqueness of the Spectral Standard Model at low energies and the Pati-Salam unification model at high energies.
|
1601.07006
|
Shih-Yuin Lin
|
Shih-Yuin Lin
|
Radiation by an Unruh-DeWitt Detector in Oscillatory Motion
|
6 pages, 2 figures, Prepared for the Proceedings of the 14th Marcel
Grossman Meeting on General Relativity, July 12-18, 2015, edited by Massimo
Bianchi, Robert T Jantzen, Remo Ruffini (World Scientific, Singapore, 2016)
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Quantum radiated energy flux emitted by an Unruh-DeWitt (UD) detector, with
the internal harmonic oscillator coupled to a massless scalar field, in linear
oscillatory motion in (3+1) dimensional Minkowski space is studied by numerical
methods. Our results show that quantum interference can indeed suppress the
signal of the Unruh effect if the averaged proper acceleration is sufficiently
low, but not in the regime with high averaged acceleration and short
oscillatory cycle. While the averaged radiated energy flux over a cycle is
always positive as guaranteed by the quantum inequalities, an observer at a
fixed angle may see short periods of negative radiated energy flux in each
cycle of motion, which indicates that the radiation is squeezed. This reveals
another resemblance between the detector theory and the moving-mirror model.
|
[
{
"created": "Tue, 26 Jan 2016 13:13:07 GMT",
"version": "v1"
}
] |
2016-01-27
|
[
[
"Lin",
"Shih-Yuin",
""
]
] |
Quantum radiated energy flux emitted by an Unruh-DeWitt (UD) detector, with the internal harmonic oscillator coupled to a massless scalar field, in linear oscillatory motion in (3+1) dimensional Minkowski space is studied by numerical methods. Our results show that quantum interference can indeed suppress the signal of the Unruh effect if the averaged proper acceleration is sufficiently low, but not in the regime with high averaged acceleration and short oscillatory cycle. While the averaged radiated energy flux over a cycle is always positive as guaranteed by the quantum inequalities, an observer at a fixed angle may see short periods of negative radiated energy flux in each cycle of motion, which indicates that the radiation is squeezed. This reveals another resemblance between the detector theory and the moving-mirror model.
|
1102.4150
|
Kei-Ichi Kondo
|
K.-I. Kondo, A. Shibata, T. Shinohara and S. Kato
|
Non-Abelian magnetic monopoles responsible for quark confinement
|
10 pages, 3 figures, A contribution to the proceedings of "The many
faces of QCD", Ghent (Belgium), November 1-5, 2010
|
PoS FacesQCD:003,2010
| null |
CHIBA-EP-187
|
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the non-Abelian magnetic monopole defined in a gauge-invariant
way in SU(3) Yang-Mills theory gives a dominant contribution to confinement of
the fundamental quark, in sharp contrast to the SU(2) case.
|
[
{
"created": "Mon, 21 Feb 2011 07:18:19 GMT",
"version": "v1"
}
] |
2015-03-19
|
[
[
"Kondo",
"K. -I.",
""
],
[
"Shibata",
"A.",
""
],
[
"Shinohara",
"T.",
""
],
[
"Kato",
"S.",
""
]
] |
We show that the non-Abelian magnetic monopole defined in a gauge-invariant way in SU(3) Yang-Mills theory gives a dominant contribution to confinement of the fundamental quark, in sharp contrast to the SU(2) case.
|
hep-th/0005048
|
Shiraz Minwalla
|
Rajesh Gopakumar, Juan Maldacena, Shiraz Minwalla and Andrew
Strominger
|
S-Duality and Noncommutative Gauge Theory
|
18 pages, harvmac, 1 figure; v2 20 pages, some discussion added,
minor typos corrected, references added
|
JHEP 0006:036,2000
|
10.1088/1126-6708/2000/06/036
| null |
hep-th
| null |
It is conjectured that strongly coupled, spatially noncommutative
$\mathcal{N}=4$ Yang-Mills theory has a dual description as a weakly coupled
open string theory in a near critical electric field, and that this dual theory
is fully decoupled from closed strings. Evidence for this conjecture is given
by the absence of physical closed string poles in the non-planar one-loop open
string diagram. The open string theory can be viewed as living in a geometry in
which space and time coordinates do not commute.
|
[
{
"created": "Thu, 4 May 2000 22:17:36 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Jun 2000 18:22:30 GMT",
"version": "v2"
}
] |
2017-09-07
|
[
[
"Gopakumar",
"Rajesh",
""
],
[
"Maldacena",
"Juan",
""
],
[
"Minwalla",
"Shiraz",
""
],
[
"Strominger",
"Andrew",
""
]
] |
It is conjectured that strongly coupled, spatially noncommutative $\mathcal{N}=4$ Yang-Mills theory has a dual description as a weakly coupled open string theory in a near critical electric field, and that this dual theory is fully decoupled from closed strings. Evidence for this conjecture is given by the absence of physical closed string poles in the non-planar one-loop open string diagram. The open string theory can be viewed as living in a geometry in which space and time coordinates do not commute.
|
2202.10373
|
Stuart Dowker
|
J.S. Dowker
|
$C_T$ for monodromy defects of fields on odd dimensional spheres for
higher derivative propagation
|
13 pages, 2 figures Minor corrections and additions. Discussion of
the validity of the Perlmutter factor and references added. (This is the
intended version 2)
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The central charge $C_T$ is computed for scalar and Dirac fields propagating
according to GJMS-type kinetic operators acting on odd $d$-dimensional spheres
in the presence of a spherical monodromy. The relation of $C_T$ to the
derivatives of the free energy on the conically deformed sphere via the
Perlmutter factor leads to a numerical quadrature. The variation of $C_T$ with
the monodromy flux, $\delta$, displays sign changes, exactly as in even
dimensions. Closed forms for $C_T$ are derived when $\delta$ equals 0 or 1/2
with the derivative order either even or odd and shown to agree with existing,
even $d$ expressions. The infinite $d$ limits are also derived in these special
cases.
|
[
{
"created": "Mon, 21 Feb 2022 17:07:42 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Feb 2022 16:56:42 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Mar 2022 16:03:49 GMT",
"version": "v3"
}
] |
2022-03-02
|
[
[
"Dowker",
"J. S.",
""
]
] |
The central charge $C_T$ is computed for scalar and Dirac fields propagating according to GJMS-type kinetic operators acting on odd $d$-dimensional spheres in the presence of a spherical monodromy. The relation of $C_T$ to the derivatives of the free energy on the conically deformed sphere via the Perlmutter factor leads to a numerical quadrature. The variation of $C_T$ with the monodromy flux, $\delta$, displays sign changes, exactly as in even dimensions. Closed forms for $C_T$ are derived when $\delta$ equals 0 or 1/2 with the derivative order either even or odd and shown to agree with existing, even $d$ expressions. The infinite $d$ limits are also derived in these special cases.
|
1502.02919
|
Maria Vittoria Gargiulo
|
Maria Vittoria Gargiulo, Mairi Sakellariadou and Giuseppe Vitiello
|
Noncommutative spectral geometry, Bogoliubov transformations and
neutrino oscillations
|
9 pages, DICE 14 proceeding
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this report we show that neutrino mixing is intrinsically contained in
Connes' noncommutative spectral geometry construction, thanks to the
introduction of the doubling of algebra, which is connected to the Bogoliubov
transformation. It is known indeed that these transformations are responsible
for the mixing, turning the mass vacuum state into the flavor vacuum state, in
such a way that mass and flavor vacuum states are not unitary equivalent. There
is thus a red thread that binds the doubling of algebra of Connes' model to the
neutrino mixing.
|
[
{
"created": "Tue, 10 Feb 2015 14:31:36 GMT",
"version": "v1"
}
] |
2015-02-11
|
[
[
"Gargiulo",
"Maria Vittoria",
""
],
[
"Sakellariadou",
"Mairi",
""
],
[
"Vitiello",
"Giuseppe",
""
]
] |
In this report we show that neutrino mixing is intrinsically contained in Connes' noncommutative spectral geometry construction, thanks to the introduction of the doubling of algebra, which is connected to the Bogoliubov transformation. It is known indeed that these transformations are responsible for the mixing, turning the mass vacuum state into the flavor vacuum state, in such a way that mass and flavor vacuum states are not unitary equivalent. There is thus a red thread that binds the doubling of algebra of Connes' model to the neutrino mixing.
|
hep-th/9306023
|
Inagaki
|
T.Inagaki, T.Muta, S.D.Odinstov
|
Nambu-Jona-Lasinio Model in Curved Space-Time
|
8 pages, 3 figures not included, uses LaTeX, HUPD-9314
|
Mod.Phys.Lett.A8:2117-2124,1993
|
10.1142/S0217732393001835
| null |
hep-th
| null |
The phase structure of Nambu-Jona-Lasinio model with N-component fermions in
curved space-time is studied in the leading order of the 1/N expansion.
The effective potential for composite operator $\bar{\psi}\psi$ is calculated
by using the normal coordinate expansion in the Schwinger proper-time method.
The existence of the first-order phase transition caused by the change of the
space-time curvature is confirmed and the dynamical mass of the fermion is
calculated as a simultaneous function of the curvature and the four-fermion
coupling constant.
The phase diagram in the curvature and the coupling constant is obtained.
|
[
{
"created": "Fri, 4 Jun 1993 12:04:52 GMT",
"version": "v1"
}
] |
2009-09-17
|
[
[
"Inagaki",
"T.",
""
],
[
"Muta",
"T.",
""
],
[
"Odinstov",
"S. D.",
""
]
] |
The phase structure of Nambu-Jona-Lasinio model with N-component fermions in curved space-time is studied in the leading order of the 1/N expansion. The effective potential for composite operator $\bar{\psi}\psi$ is calculated by using the normal coordinate expansion in the Schwinger proper-time method. The existence of the first-order phase transition caused by the change of the space-time curvature is confirmed and the dynamical mass of the fermion is calculated as a simultaneous function of the curvature and the four-fermion coupling constant. The phase diagram in the curvature and the coupling constant is obtained.
|
1212.6852
|
Gabriele Tartaglino-Mazzucchelli
|
Sergei M. Kuzenko and Gabriele Tartaglino-Mazzucchelli
|
Conformal supergravities as Chern-Simons theories revisited
|
26 pages; V3: typos in eqs. (3.8) and (3.10b) corrected
|
JHEP 1303 (2013) 113
|
10.1007/JHEP03(2013)113
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a superfield method to construct off-shell actions for N-extended
conformal supergravity theories in three space-time dimensions. It makes use of
the superform technique to engineer supersymmetric invariants. The method is
specifically applied to the case of N=1 conformal supergravity and provides a
new realization for the actions of conformal and topologically massive
supergravities.
|
[
{
"created": "Mon, 31 Dec 2012 10:31:02 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Mar 2013 08:50:24 GMT",
"version": "v2"
},
{
"created": "Tue, 12 Dec 2017 13:04:56 GMT",
"version": "v3"
}
] |
2017-12-13
|
[
[
"Kuzenko",
"Sergei M.",
""
],
[
"Tartaglino-Mazzucchelli",
"Gabriele",
""
]
] |
We propose a superfield method to construct off-shell actions for N-extended conformal supergravity theories in three space-time dimensions. It makes use of the superform technique to engineer supersymmetric invariants. The method is specifically applied to the case of N=1 conformal supergravity and provides a new realization for the actions of conformal and topologically massive supergravities.
|
1707.03614
|
Golam Mortuza Hossain
|
Subhajit Barman, Golam Mortuza Hossain and Chiranjeeb Singha
|
An exact derivation of the Hawking effect in canonical formulation
|
11 pages, 3 figures, revtex4
|
Phys. Rev. D 97, 025016 (2018)
|
10.1103/PhysRevD.97.025016
| null |
gr-qc hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Hawking effect is one of the most extensively studied topics in modern
physics. Yet it remains relatively under-explored within the framework of
canonical quantization. The key difficulty lies in the fact that the Hawking
effect is principally understood using the relation between the ingoing modes
which leave past null infinity and the outgoing modes which arrive at future
null infinity. Naturally, these modes are described using advanced and retarded
null coordinates instead of the usual Schwarzschild coordinates. However, null
coordinates do not lead to a true Hamiltonian that describes the evolution of
these modes. In order to overcome these hurdles in a canonical formulation, we
introduce here a set of near-null coordinates which allows one to perform an
exact Hamiltonian-based derivation of the Hawking effect. This derivation opens
up an avenue to explore the Hawking effect using different canonical
quantization methods such as polymer quantization.
|
[
{
"created": "Wed, 12 Jul 2017 09:33:56 GMT",
"version": "v1"
}
] |
2018-01-31
|
[
[
"Barman",
"Subhajit",
""
],
[
"Hossain",
"Golam Mortuza",
""
],
[
"Singha",
"Chiranjeeb",
""
]
] |
The Hawking effect is one of the most extensively studied topics in modern physics. Yet it remains relatively under-explored within the framework of canonical quantization. The key difficulty lies in the fact that the Hawking effect is principally understood using the relation between the ingoing modes which leave past null infinity and the outgoing modes which arrive at future null infinity. Naturally, these modes are described using advanced and retarded null coordinates instead of the usual Schwarzschild coordinates. However, null coordinates do not lead to a true Hamiltonian that describes the evolution of these modes. In order to overcome these hurdles in a canonical formulation, we introduce here a set of near-null coordinates which allows one to perform an exact Hamiltonian-based derivation of the Hawking effect. This derivation opens up an avenue to explore the Hawking effect using different canonical quantization methods such as polymer quantization.
|
0710.4311
|
Rouven Essig
|
Rouven Essig, Kuver Sinha, Gonzalo Torroba
|
Enhanced symmetry points and metastable supersymmetry breaking along
pseudo-runaway directions
|
Submitted for the SUSY07 proceedings, 4 pages, LaTeX, 2 figures
| null | null | null |
hep-th
| null |
We construct a model with long-lived metastable vacua in which all the
relevant parameters, including the supersymmetry breaking scale, are generated
dynamically by dimensional transmutation. The metastable vacua appear along a
pseudo-runaway direction near a point of enhanced symmetry as a result of a
balance between non-perturbative and perturbative quantum effects. We show that
metastable supersymmetry breaking is a rather generic feature near certain
enhanced symmetry points of gauge theory moduli spaces.
|
[
{
"created": "Tue, 23 Oct 2007 18:47:51 GMT",
"version": "v1"
}
] |
2007-10-24
|
[
[
"Essig",
"Rouven",
""
],
[
"Sinha",
"Kuver",
""
],
[
"Torroba",
"Gonzalo",
""
]
] |
We construct a model with long-lived metastable vacua in which all the relevant parameters, including the supersymmetry breaking scale, are generated dynamically by dimensional transmutation. The metastable vacua appear along a pseudo-runaway direction near a point of enhanced symmetry as a result of a balance between non-perturbative and perturbative quantum effects. We show that metastable supersymmetry breaking is a rather generic feature near certain enhanced symmetry points of gauge theory moduli spaces.
|
hep-th/9603122
|
Pijush Kanti Ghosh
|
Pijush K. Ghosh
|
Self-dual Gauged $CP^N$ Models
|
12 Pages, RevTex, few minor changes have been made, to appear in
Physics Letters B
|
Phys.Lett. B384 (1996) 185-189
|
10.1016/0370-2693(96)00820-9
|
MRI-PHY/96-09
|
hep-th
| null |
We consider a $CP^N$ model with the subgroup $SU(r)$ completely gauged, where
$1 < r < N+1$. The gauge field dynamics is solely governed by a nonabelian
Chern-Simons term and the global $SU(N+1)$ symmetry is broken explicitly by
introducing a $SU(r)$ invariant scalar potential. We obtain self-dual equations
of this gauged $CP^N$ model and find that the energy is bounded from below by a
linear combination of the topological charge and a global $U(1)$ charge present
in the theory. We also discuss on the self-dual soliton solutions of this
model.
|
[
{
"created": "Mon, 18 Mar 1996 20:51:51 GMT",
"version": "v1"
},
{
"created": "Mon, 27 May 1996 23:11:51 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Ghosh",
"Pijush K.",
""
]
] |
We consider a $CP^N$ model with the subgroup $SU(r)$ completely gauged, where $1 < r < N+1$. The gauge field dynamics is solely governed by a nonabelian Chern-Simons term and the global $SU(N+1)$ symmetry is broken explicitly by introducing a $SU(r)$ invariant scalar potential. We obtain self-dual equations of this gauged $CP^N$ model and find that the energy is bounded from below by a linear combination of the topological charge and a global $U(1)$ charge present in the theory. We also discuss on the self-dual soliton solutions of this model.
|
2111.12446
|
Dimitrios Katsinis
|
Dimitrios Katsinis, Pantelis Panopoulos
|
Classical solutions of $\lambda$-deformed coset models
|
36+9 pages, 8 figures
| null |
10.1140/epjc/s10052-022-10493-9
| null |
hep-th math-ph math.MP nlin.SI
|
http://creativecommons.org/licenses/by/4.0/
|
We obtain classical solutions of $\l$-deformed $\s$-models based on
$SL(2,\mathbb{R})/U(1)$ and $SU(2)/U(1)$ coset manifolds. Using two different
sets of coordinates, we derive two distinct classes of solutions. The first
class is expressed in terms of hyperbolic and trigonometric functions, whereas
the second one in terms of elliptic functions. We analyze their properties
along with the boundary conditions and discuss string systems that they
describe. It turns out that there is an apparent similarity between the
solutions of the second class and the motion of a pendulum.
|
[
{
"created": "Wed, 24 Nov 2021 11:49:55 GMT",
"version": "v1"
}
] |
2022-07-06
|
[
[
"Katsinis",
"Dimitrios",
""
],
[
"Panopoulos",
"Pantelis",
""
]
] |
We obtain classical solutions of $\l$-deformed $\s$-models based on $SL(2,\mathbb{R})/U(1)$ and $SU(2)/U(1)$ coset manifolds. Using two different sets of coordinates, we derive two distinct classes of solutions. The first class is expressed in terms of hyperbolic and trigonometric functions, whereas the second one in terms of elliptic functions. We analyze their properties along with the boundary conditions and discuss string systems that they describe. It turns out that there is an apparent similarity between the solutions of the second class and the motion of a pendulum.
|
1504.07910
|
Hong Zhang
|
Chaiho Rim and Hong Zhang
|
Classical Virasoro irregular conformal block
|
18 pages; v2: comments and references added, version to appear in
JHEP
| null |
10.1007/JHEP07(2015)163
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Virasoro irregular conformal block with arbitrary rank is obtained for the
classical limit or equivalently Nekrasov-Shatashvili limit using the
beta-deformed irregular matrix model (Penner-type matrix model for the
irregular conformal block). The same result is derived using the generalized
Mathieu equation which is equivalent to the loop equation of the irregular
matrix model.
|
[
{
"created": "Wed, 29 Apr 2015 16:06:16 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Jun 2015 07:47:55 GMT",
"version": "v2"
}
] |
2015-08-04
|
[
[
"Rim",
"Chaiho",
""
],
[
"Zhang",
"Hong",
""
]
] |
Virasoro irregular conformal block with arbitrary rank is obtained for the classical limit or equivalently Nekrasov-Shatashvili limit using the beta-deformed irregular matrix model (Penner-type matrix model for the irregular conformal block). The same result is derived using the generalized Mathieu equation which is equivalent to the loop equation of the irregular matrix model.
|
hep-th/9205025
|
Marco Fabbrichesi
|
M. Fabbrichesi, R. Iengo, K. Roland
|
The Gravitational Field of String Matter
|
40 PAGES
|
Nucl.Phys. B402 (1993) 360-398
|
10.1016/0550-3213(93)90647-8
|
REPORT SISSA/ISAS 52-92-EP
|
hep-th
| null |
We study the scattering of a massless and neutral test particle in the
gravitational field of a body (the string star) made of a large number of
scalar states of the superstring. We consider two cases, the one in which these
states are neutral string excitations massive already in ten dimensions and the
one in which their masses (and charges) originate in the process of
compactification on tori. A perturbative calculation based on superstring
amplitudes gives us the deflection angle up to the second order in Newton's
constant. A comparison with field theory explicitly shows which among the
various massless fields of the superstring give a contribution to the
scattering process. In both cases, the deflection angle is smaller than the one
computed in general relativity. The perturbative series can be resummed by
finding the exact solution to the classical equations of motion of the
corresponding low-energy action. The space-time metric of our two examples of
string stars has no horizon.
|
[
{
"created": "Tue, 12 May 1992 14:04:03 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Fabbrichesi",
"M.",
""
],
[
"Iengo",
"R.",
""
],
[
"Roland",
"K.",
""
]
] |
We study the scattering of a massless and neutral test particle in the gravitational field of a body (the string star) made of a large number of scalar states of the superstring. We consider two cases, the one in which these states are neutral string excitations massive already in ten dimensions and the one in which their masses (and charges) originate in the process of compactification on tori. A perturbative calculation based on superstring amplitudes gives us the deflection angle up to the second order in Newton's constant. A comparison with field theory explicitly shows which among the various massless fields of the superstring give a contribution to the scattering process. In both cases, the deflection angle is smaller than the one computed in general relativity. The perturbative series can be resummed by finding the exact solution to the classical equations of motion of the corresponding low-energy action. The space-time metric of our two examples of string stars has no horizon.
|
0803.3385
|
M. P. Garcia del Moral
|
M.P. Garcia del Moral, J.M. Pena, A. Restuccia
|
The Minimally Immersed 4D Supermembrane
|
6pg.latex, w-art.class. To appear in the proceedings "RTN
ForcesUniverse" Valencia, 1-5 October, Spain, 2007
|
Fortschr.Phys.56:915-921,2008
|
10.1002/prop.200810548
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we summarize some of the properties found in [1], and its
relation with [2]. We comment on the construction of the action of the 11D
supermembrane with nontrivial central charges minimally immersed on a 7D
toroidal manifold is obtained (MIM2).The transverse coordinates to the
supermembrane are maps to a 4D Minkowski space-time. The action is invariant
under additional symmetries in comparison to the supermembrane on a 11D
Minkowski target space. The hamiltonian in the LCG is invariant under conformal
transformations on the Riemann surface base manifold. The spectrum of the
regularized hamiltonian is discrete with finite multiplicity. Its resolvent is
compact. Susy is spontaneously broken, due to the topological central charge
condition, to four supersymmetries in 4D, the vacuum belongs to an N=1
supermultiplet. When assuming the target-space to be an isotropic 7-tori, the
potential does not contain any flat direction, it is stable on the moduli space
of parameters. Moreover due to the discrete symmetries of the hamiltonian,
there are only 7 possible minimal holomorphic immersions of the MIM2 on the
7-torus. When these symmetries are identified on the target space, it
corresponds to compactify the MIM2 on a orbifold with G2 structure. Once the
singularities are resolved it leads to the compactification of the MIM2 on a G2
manifold as shown in [2].
|
[
{
"created": "Mon, 24 Mar 2008 10:11:52 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"del Moral",
"M. P. Garcia",
""
],
[
"Pena",
"J. M.",
""
],
[
"Restuccia",
"A.",
""
]
] |
In this note we summarize some of the properties found in [1], and its relation with [2]. We comment on the construction of the action of the 11D supermembrane with nontrivial central charges minimally immersed on a 7D toroidal manifold is obtained (MIM2).The transverse coordinates to the supermembrane are maps to a 4D Minkowski space-time. The action is invariant under additional symmetries in comparison to the supermembrane on a 11D Minkowski target space. The hamiltonian in the LCG is invariant under conformal transformations on the Riemann surface base manifold. The spectrum of the regularized hamiltonian is discrete with finite multiplicity. Its resolvent is compact. Susy is spontaneously broken, due to the topological central charge condition, to four supersymmetries in 4D, the vacuum belongs to an N=1 supermultiplet. When assuming the target-space to be an isotropic 7-tori, the potential does not contain any flat direction, it is stable on the moduli space of parameters. Moreover due to the discrete symmetries of the hamiltonian, there are only 7 possible minimal holomorphic immersions of the MIM2 on the 7-torus. When these symmetries are identified on the target space, it corresponds to compactify the MIM2 on a orbifold with G2 structure. Once the singularities are resolved it leads to the compactification of the MIM2 on a G2 manifold as shown in [2].
|
0909.4866
|
Kei-Ichi Kondo
|
Kei-Ichi Kondo (U. Tokyo/Chiba U.)
|
Decoupling and scaling solutions in Yang-Mills theory with the Gribov
horizon
|
22 pages, 2 figures,
| null | null |
CHIBA-EP-178
|
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a trick which enables one to incorporate the Gribov horizon into
the Schwinger-Dyson equation in Landau and Coulomb gauge Yang-Mills theory,
using the Gribov-Zwanziger framework with the horizon term. We find a family of
solutions parameterized by one-parameter $w_R(0)$ which was overlooked so far
by assuming to be zero implicitly. The family includes both the scaling and
decoupling solutions, and specification of the parameter discriminates between
them. In the Landau gauge we discuss a possible decoupling solution satisfying
the Kugo-Ojima criterion for color confinement.
|
[
{
"created": "Mon, 28 Sep 2009 12:19:51 GMT",
"version": "v1"
}
] |
2009-09-29
|
[
[
"Kondo",
"Kei-Ichi",
"",
"U. Tokyo/Chiba U."
]
] |
We propose a trick which enables one to incorporate the Gribov horizon into the Schwinger-Dyson equation in Landau and Coulomb gauge Yang-Mills theory, using the Gribov-Zwanziger framework with the horizon term. We find a family of solutions parameterized by one-parameter $w_R(0)$ which was overlooked so far by assuming to be zero implicitly. The family includes both the scaling and decoupling solutions, and specification of the parameter discriminates between them. In the Landau gauge we discuss a possible decoupling solution satisfying the Kugo-Ojima criterion for color confinement.
|
0811.0715
|
Luca Lusanna
|
David Alba, Horace W. Crater and Luca Lusanna
|
Towards Relativistic Atomic Physics. II. Collective and Relative
Relativistic Variables for a System of Charged Particles plus the
Electro-Magnetic Field
|
71 pages
| null |
10.1139/P09-038
| null |
hep-th astro-ph gr-qc physics.atm-clus
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this second paper we complete the classical description of an isolated
system of "charged positive-energy particles, with Grassmann-valued electric
charges and mutual Coulomb interaction, plus a transverse electro-magnetic
field" in the rest-frame instant form of dynamics.
In particular we show how to determine a collective variable associated with
the internal 3-center of mass on the instantaneous 3-spaces, to be eliminated
with the constraints ${\vec {\cal K}}_{(int)} \approx 0$. Here ${\vec {\cal
K}}_{(int)}$ is the Lorentz boost generator in the unfaithful internal
realization of the Poincare' group and its vanishing is the gauge fixing to the
rest-frame conditions ${\vec {\cal P}}_{(int)} \approx 0$. We show how to find
this collective variable for the following isolated systems: a) charged
particles with a Coulomb plus Darwin mutual interaction; b) transverse
radiation field; c) charged particles with a mutual Coulomb interaction plus a
transverse electro-magnetic field.
Then we define the Dixon multipolar expansion for the open particle
subsystem. We also define the relativistic electric dipole approximation of
atomic physics in the rest-frame instant form and we find the a possible
relativistic generalization of the electric dipole representation.
|
[
{
"created": "Wed, 5 Nov 2008 12:42:35 GMT",
"version": "v1"
}
] |
2015-05-13
|
[
[
"Alba",
"David",
""
],
[
"Crater",
"Horace W.",
""
],
[
"Lusanna",
"Luca",
""
]
] |
In this second paper we complete the classical description of an isolated system of "charged positive-energy particles, with Grassmann-valued electric charges and mutual Coulomb interaction, plus a transverse electro-magnetic field" in the rest-frame instant form of dynamics. In particular we show how to determine a collective variable associated with the internal 3-center of mass on the instantaneous 3-spaces, to be eliminated with the constraints ${\vec {\cal K}}_{(int)} \approx 0$. Here ${\vec {\cal K}}_{(int)}$ is the Lorentz boost generator in the unfaithful internal realization of the Poincare' group and its vanishing is the gauge fixing to the rest-frame conditions ${\vec {\cal P}}_{(int)} \approx 0$. We show how to find this collective variable for the following isolated systems: a) charged particles with a Coulomb plus Darwin mutual interaction; b) transverse radiation field; c) charged particles with a mutual Coulomb interaction plus a transverse electro-magnetic field. Then we define the Dixon multipolar expansion for the open particle subsystem. We also define the relativistic electric dipole approximation of atomic physics in the rest-frame instant form and we find the a possible relativistic generalization of the electric dipole representation.
|
hep-th/9705157
|
Joao Barcelos Neto
|
J. Barcelos-Neto and W. Oliveira
|
Gauging the nonlinear sigma-model through a non-Abelian algebra
|
18 pages, Latex, to appear in Phys. Rev. D
|
Phys.Rev. D56 (1997) 2257-2264
|
10.1103/PhysRevD.56.2257
| null |
hep-th
| null |
We use an extension of the method due to Batalin, Fradkin, Fradkina, and
Tyutin (BFFT) for transforming the nonlinear $\sigma$ model in a non-Abelian
gauge theory. We deal with both supersymmetric and nonsupersymmetric cases. The
bosonic case was already considered in literature but just gauged with an
Abelian algebra. We show that the supersymmetric version is only compatible
with a non-Abelian gauge theory. The usual BFFT method for this case leads to a
nonlocal algebra.
|
[
{
"created": "Wed, 21 May 1997 10:36:19 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Barcelos-Neto",
"J.",
""
],
[
"Oliveira",
"W.",
""
]
] |
We use an extension of the method due to Batalin, Fradkin, Fradkina, and Tyutin (BFFT) for transforming the nonlinear $\sigma$ model in a non-Abelian gauge theory. We deal with both supersymmetric and nonsupersymmetric cases. The bosonic case was already considered in literature but just gauged with an Abelian algebra. We show that the supersymmetric version is only compatible with a non-Abelian gauge theory. The usual BFFT method for this case leads to a nonlocal algebra.
|
hep-th/9306141
|
Kresimir Demeterfi
|
Kresimir Demeterfi and Joao P. Rodrigues
|
States and quantum effects in the collective field theory of a deformed
matrix model
|
25 pages, PUPT-1407 and CNLS-93-06, 2 figures included, harvmac +
epsf
|
Nucl.Phys. B415 (1994) 3-28
|
10.1016/0550-3213(94)90065-5
| null |
hep-th
| null |
We derive an equation which gives the tree-level scattering amplitudes for
tachyons in the black hole background using the exact states of the collective
field hamiltonian corresponding to a deformed matrix model recently proposed by
Jevicki and Yoneya. Using directly the symmetry algebra we obtain explicit
expression for a class of amplitudes in the tree approximation. We also study
the quantum effects in the corresponding collective field theory. In
particular, we compute the ground state energy and the free energy at finite
temperature up to two loops, and the first quantum correction to the two-point
function.
|
[
{
"created": "Sun, 27 Jun 1993 01:47:32 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Demeterfi",
"Kresimir",
""
],
[
"Rodrigues",
"Joao P.",
""
]
] |
We derive an equation which gives the tree-level scattering amplitudes for tachyons in the black hole background using the exact states of the collective field hamiltonian corresponding to a deformed matrix model recently proposed by Jevicki and Yoneya. Using directly the symmetry algebra we obtain explicit expression for a class of amplitudes in the tree approximation. We also study the quantum effects in the corresponding collective field theory. In particular, we compute the ground state energy and the free energy at finite temperature up to two loops, and the first quantum correction to the two-point function.
|
2112.01483
|
Mois\'es Bravo-Gaete
|
Moises Bravo-Gaete, Maria Montserrat Juarez-Aubry, Gerardo
Velazquez-Rodriguez
|
Lifshitz black holes in four-dimensional Critical Gravity
|
9 pages, 4 figures. Accepted for publication in Physical Review D
| null |
10.1103/PhysRevD.105.084009
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we study the existence of asymptotically Lifshitz black holes
in Critical Gravity in four dimensions with a negative cosmological constant
under two scenarios: First, including dilatonic fields as the matter source,
where we find an asymptotically Lifshitz solution for a fixed value of the
dynamical exponent $z=4$. As a second case, we also added a non-minimally
coupled scalar field $\Phi$ with a potential given by a mass term and a quartic
term. Using this approach, we found a solution for $z$ defined in the interval
$(1,4)$, recovering the Schwarzchild-Anti-de Sitter case with planar base
manifold in the isotropic limit. Moreover, when we analyzed the limiting case
$z=4$, we found that there exists an additional solution that can be
interpreted as a stealth configuration in which the stealth field is overflying
the $z=4$ solution without the non-minimally coupled field $\Phi$. Finally, we
studied the non-trivial thermodynamics of these new anisotropic solutions and
found that they all satisfy the First Law of Thermodynamics as well as the
Smarr relation. We were also able to determine that the non-stealth
configuration is thermodynamically preferred in this case.
|
[
{
"created": "Thu, 2 Dec 2021 18:34:19 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Mar 2022 19:24:54 GMT",
"version": "v2"
}
] |
2022-04-20
|
[
[
"Bravo-Gaete",
"Moises",
""
],
[
"Juarez-Aubry",
"Maria Montserrat",
""
],
[
"Velazquez-Rodriguez",
"Gerardo",
""
]
] |
In this work, we study the existence of asymptotically Lifshitz black holes in Critical Gravity in four dimensions with a negative cosmological constant under two scenarios: First, including dilatonic fields as the matter source, where we find an asymptotically Lifshitz solution for a fixed value of the dynamical exponent $z=4$. As a second case, we also added a non-minimally coupled scalar field $\Phi$ with a potential given by a mass term and a quartic term. Using this approach, we found a solution for $z$ defined in the interval $(1,4)$, recovering the Schwarzchild-Anti-de Sitter case with planar base manifold in the isotropic limit. Moreover, when we analyzed the limiting case $z=4$, we found that there exists an additional solution that can be interpreted as a stealth configuration in which the stealth field is overflying the $z=4$ solution without the non-minimally coupled field $\Phi$. Finally, we studied the non-trivial thermodynamics of these new anisotropic solutions and found that they all satisfy the First Law of Thermodynamics as well as the Smarr relation. We were also able to determine that the non-stealth configuration is thermodynamically preferred in this case.
|
1301.4091
|
Fabio Scardigli
|
Petr Jizba, Fabio Scardigli
|
Special Relativity induced by Granular Space
|
6 pages, RevTeX4. Some revisions in DSR section and in Conclusions.
References added
|
Eur. Phys. J. C (2013) 73:2491
|
10.1140/epjc/s10052-013-2491-x
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the special relativistic dynamics when combined with quantum
mechanics and the concept of superstatistics can be interpreted as arising from
two interlocked non-relativistic stochastic processes that operate at different
energy scales. This interpretation leads to Feynman amplitudes that are in the
Euclidean regime identical to transition probability of a Brownian particle
propagating through a granular space. Some kind of spacetime granularity could
be held responsible for the emergence at larger scales of various symmetries.
For illustration we consider also the dynamics and the propagator of a spinless
relativistic particle. Implications for doubly special relativity, quantum
field theory, quantum gravity and cosmology are discussed.
|
[
{
"created": "Thu, 17 Jan 2013 13:27:35 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Mar 2013 02:03:01 GMT",
"version": "v2"
}
] |
2013-07-09
|
[
[
"Jizba",
"Petr",
""
],
[
"Scardigli",
"Fabio",
""
]
] |
We show that the special relativistic dynamics when combined with quantum mechanics and the concept of superstatistics can be interpreted as arising from two interlocked non-relativistic stochastic processes that operate at different energy scales. This interpretation leads to Feynman amplitudes that are in the Euclidean regime identical to transition probability of a Brownian particle propagating through a granular space. Some kind of spacetime granularity could be held responsible for the emergence at larger scales of various symmetries. For illustration we consider also the dynamics and the propagator of a spinless relativistic particle. Implications for doubly special relativity, quantum field theory, quantum gravity and cosmology are discussed.
|
1107.4089
|
Vladimir Ivashchuk
|
V. D. Ivashchuk
|
More M-branes on product of Ricci-flat manifolds
|
28 pages, Latex, typos are eliminated, several examples are omitted
|
International Journal of Geometric Methods in Modern Physics, 9,
No 8, 1250067 (2012)
| null |
IGC-PFUR/07-2011/1
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Partially supersymmetric intersecting (non-marginal) composite M-brane
solutions defined on the product of Ricci-flat manifolds M_0 x M_1 x ... x M_n
in D= 11 supergravity are considered and formulae for fractional numbers of
unbroken supersymmetries are derived for the following configurations of
branes: M2 - M2, M2 - M5, M5 - M5 and M2 - M2 - M2. Certain examples of
partially supersymmetric configurations are presented.
|
[
{
"created": "Wed, 20 Jul 2011 19:57:48 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Oct 2011 08:55:40 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Aug 2012 19:02:55 GMT",
"version": "v3"
}
] |
2015-01-23
|
[
[
"Ivashchuk",
"V. D.",
""
]
] |
Partially supersymmetric intersecting (non-marginal) composite M-brane solutions defined on the product of Ricci-flat manifolds M_0 x M_1 x ... x M_n in D= 11 supergravity are considered and formulae for fractional numbers of unbroken supersymmetries are derived for the following configurations of branes: M2 - M2, M2 - M5, M5 - M5 and M2 - M2 - M2. Certain examples of partially supersymmetric configurations are presented.
|
hep-th/9911190
|
Ralph Blumenhagen
|
Carlo Angelantonj and Ralph Blumenhagen
|
Discrete Deformations in Type I Vacua
|
12 pages, TeX, harvmac, 4 figures, eq.(3.15) changed
|
Phys.Lett. B473 (2000) 86-93
|
10.1016/S0370-2693(99)01480-X
|
HUB-EP-99/60, LPTENS 99/38
|
hep-th
| null |
We study supersymmetric orientifolds where the world-sheet parity
transformation is combined with a conjugation of some compact complex
coordinates. We investigate their T-duality relation to standard orientifolds
and discuss the origin of continuous and discrete moduli. In contrast to
standard orientifolds, the antisymmetric tensor describes a continuous
deformation, while the off-diagonal part of the metric is frozen to quantized
values and is responsible for the rank reduction of the gauge group. We also
give a geometrical interpretation of some recently constructed six-dimensional
permutational orientifolds.
|
[
{
"created": "Wed, 24 Nov 1999 13:58:42 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Dec 1999 16:57:00 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Angelantonj",
"Carlo",
""
],
[
"Blumenhagen",
"Ralph",
""
]
] |
We study supersymmetric orientifolds where the world-sheet parity transformation is combined with a conjugation of some compact complex coordinates. We investigate their T-duality relation to standard orientifolds and discuss the origin of continuous and discrete moduli. In contrast to standard orientifolds, the antisymmetric tensor describes a continuous deformation, while the off-diagonal part of the metric is frozen to quantized values and is responsible for the rank reduction of the gauge group. We also give a geometrical interpretation of some recently constructed six-dimensional permutational orientifolds.
|
1909.00904
|
R. R. Cuzinatto
|
R. R. Cuzinatto, M. de Montigny, P. J. Pompeia
|
Non-commutativity and non-inertial effects on the Dirac oscillator in a
cosmic string space-time
|
23 pages
|
General Relativity and Gravitation (2019) 51:107
|
10.1007/s10714-019-2593-3
| null |
gr-qc math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine the non-inertial effects of a rotating frame on a Dirac oscillator
in a cosmic string space-time with non-commutative geometry in phase space. We
observe that the approximate bound-state solutions are related to the
biconfluent Heun polynomials. The related energies cannot be obtained in a
closed form for all the bound states. We find the energy of the fundamental
state analytically by taking into account the hard-wall confining condition. We
describe how the ground-state energy scales with the new non-commutative term
as well as with the other physical parameters of the system.
|
[
{
"created": "Tue, 3 Sep 2019 00:53:07 GMT",
"version": "v1"
}
] |
2019-09-04
|
[
[
"Cuzinatto",
"R. R.",
""
],
[
"de Montigny",
"M.",
""
],
[
"Pompeia",
"P. J.",
""
]
] |
We examine the non-inertial effects of a rotating frame on a Dirac oscillator in a cosmic string space-time with non-commutative geometry in phase space. We observe that the approximate bound-state solutions are related to the biconfluent Heun polynomials. The related energies cannot be obtained in a closed form for all the bound states. We find the energy of the fundamental state analytically by taking into account the hard-wall confining condition. We describe how the ground-state energy scales with the new non-commutative term as well as with the other physical parameters of the system.
|
1006.3570
|
Lilia Anguelova
|
Lilia Anguelova
|
Electroweak Symmetry Breaking from Gauge/Gravity Duality
|
33 pages; minor clarification, references added, journal version
|
Nucl.Phys.B843:429-454,2011
|
10.1016/j.nuclphysb.2010.10.007
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the gauge/gravity duality to study a model of walking technicolor. The
latter is a phenomenologically promising framework for dynamical electroweak
symmetry breaking. A traditional problem for technicolor models has been the
need to address gauge theories at strong coupling. Recent developments in
gauge/gravity duality provide a powerful tool for handling this problem. First,
we revisit previously considered holographic models of QCD-like technicolor
from D-branes. In particular, we develop analytical understanding of earlier
numerical computations of the Peskin-Takeuchi S-parameter. Then we apply this
method to the investigation of a model of walking technicolor, obtained by
embedding D7 - anti-D7 probe branes in a recently discovered type IIB
background dual to walking behaviour. As a necessary step, we also show that
there is an embedding of the techniflavor branes, that realizes chiral symmetry
breaking. Finally, we show that the divergences that appear in the S-parameter
can be removed by using holographic renormalization.
|
[
{
"created": "Thu, 17 Jun 2010 21:16:05 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Aug 2010 19:39:57 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Oct 2010 00:27:15 GMT",
"version": "v3"
}
] |
2010-11-11
|
[
[
"Anguelova",
"Lilia",
""
]
] |
We use the gauge/gravity duality to study a model of walking technicolor. The latter is a phenomenologically promising framework for dynamical electroweak symmetry breaking. A traditional problem for technicolor models has been the need to address gauge theories at strong coupling. Recent developments in gauge/gravity duality provide a powerful tool for handling this problem. First, we revisit previously considered holographic models of QCD-like technicolor from D-branes. In particular, we develop analytical understanding of earlier numerical computations of the Peskin-Takeuchi S-parameter. Then we apply this method to the investigation of a model of walking technicolor, obtained by embedding D7 - anti-D7 probe branes in a recently discovered type IIB background dual to walking behaviour. As a necessary step, we also show that there is an embedding of the techniflavor branes, that realizes chiral symmetry breaking. Finally, we show that the divergences that appear in the S-parameter can be removed by using holographic renormalization.
|
1408.6805
|
Larry Ford
|
C. H. G. Bessa, V. A. De Lorenci, L. H. Ford and N. F. Svaiter
|
Vacuum Lightcone Fluctuations in a Dielectric
|
8 pages, 2 figures
|
Ann. Phys. 361, 293 (2015)
| null | null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A model for observable effects of electromagnetic vacuum fluctuations is
presented. The model involves a probe pulse which traverses a slab of nonlinear
optical material with a nonzero second order polarizability. We argue that the
pulse interacts with the ambient vacuum fluctuations of other modes of the
quantized electric field, and these vacuum fluctuations cause variations in the
flight time of the pulse through the material. The geometry of the slab of
material defines a sampling function for the quantized electric field, which in
turn determines that vacuum modes whose wavelengths are of the order of the
thickness of the slab give the dominant contribution. Some numerical estimates
are made, which indicate that fractional fluctuations in flight time of the
order of $10^{-9}$ are possible in realistic situations. The model presented
here is both an illustration of a physical effect of vacuum fluctuations, and
an analog model for the lightcone fluctuations predicted by quantum gravity.
|
[
{
"created": "Thu, 28 Aug 2014 18:42:48 GMT",
"version": "v1"
}
] |
2016-02-12
|
[
[
"Bessa",
"C. H. G.",
""
],
[
"De Lorenci",
"V. A.",
""
],
[
"Ford",
"L. H.",
""
],
[
"Svaiter",
"N. F.",
""
]
] |
A model for observable effects of electromagnetic vacuum fluctuations is presented. The model involves a probe pulse which traverses a slab of nonlinear optical material with a nonzero second order polarizability. We argue that the pulse interacts with the ambient vacuum fluctuations of other modes of the quantized electric field, and these vacuum fluctuations cause variations in the flight time of the pulse through the material. The geometry of the slab of material defines a sampling function for the quantized electric field, which in turn determines that vacuum modes whose wavelengths are of the order of the thickness of the slab give the dominant contribution. Some numerical estimates are made, which indicate that fractional fluctuations in flight time of the order of $10^{-9}$ are possible in realistic situations. The model presented here is both an illustration of a physical effect of vacuum fluctuations, and an analog model for the lightcone fluctuations predicted by quantum gravity.
|
gr-qc/9801047
|
Arkady A. Popov
|
Arkadii Popov (Kazan State Pedagogical University)
|
Cosmic String Created from Vacuum Fluctuaions
|
6 pages, LaTex
| null | null | null |
gr-qc
| null |
The possibility of the cosmic string creation by the vacuum fluctuations of
quantum fields in the self-consistent semiclassical theory of gravity is
discussed. We use the approximate method for obtaining vacuum expectation value
of the renormalized stress-energy tensor of conformally invariant quantum
fields in static cylindrically symmetric spacetimes. We have obtained the
particular solutions of Einstein equations for the different boundary
conditions at the cylinder symmetry axis.
|
[
{
"created": "Wed, 14 Jan 1998 10:28:03 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Popov",
"Arkadii",
"",
"Kazan State Pedagogical University"
]
] |
The possibility of the cosmic string creation by the vacuum fluctuations of quantum fields in the self-consistent semiclassical theory of gravity is discussed. We use the approximate method for obtaining vacuum expectation value of the renormalized stress-energy tensor of conformally invariant quantum fields in static cylindrically symmetric spacetimes. We have obtained the particular solutions of Einstein equations for the different boundary conditions at the cylinder symmetry axis.
|
0807.0960
|
Maja Buric
|
Maja Buric, John Madore
|
Spherically Symmetric Noncommutative Space: d = 4
|
14 pages
|
Eur.Phys.J.C58:347-353,2008
|
10.1140/epjc/s10052-008-0748-6
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In order to find a noncommutative analog of Schwarzschild or
Schhwarzschild-de Sitter blackhole we investigate spherically symmetric spaces
generated by four noncommutative coordinates in the frame formalism. We present
two solutions which however do not posess the prescribed commutative limit. Our
analysis indicates that the appropriate noncommutative space might be found as
a subspace of a higher-dimensional space.
|
[
{
"created": "Mon, 7 Jul 2008 10:24:09 GMT",
"version": "v1"
}
] |
2008-12-18
|
[
[
"Buric",
"Maja",
""
],
[
"Madore",
"John",
""
]
] |
In order to find a noncommutative analog of Schwarzschild or Schhwarzschild-de Sitter blackhole we investigate spherically symmetric spaces generated by four noncommutative coordinates in the frame formalism. We present two solutions which however do not posess the prescribed commutative limit. Our analysis indicates that the appropriate noncommutative space might be found as a subspace of a higher-dimensional space.
|
1201.5012
|
Qingjun Jin
|
Q. Jin, R. Roiban
|
On the non-planar beta-deformed N=4 super-Yang-Mills theory
|
39 pages, 8 figures
| null |
10.1088/1751-8113/45/29/295401
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The beta-deformation is one of the two superconformal deformations of the N=4
super-Yang-Mills theory. At the planar level it shares all of its properties
except for supersymmetry, which is broken to the minimal amount. The tree-level
amplitudes of this theory exhibit new features which depart from the commonly
assumed properties of gauge theories with fields in the adjoint representation.
We analyze in detail complete one-loop amplitudes and a nonplanar two-loop
amplitude of this theory and show that, despite having only N=1 supersymmetry,
two-loop amplitudes have a further-improved ultraviolet behavior. This
phenomenon is a counterpart of a similar improvement previously observed in the
double-trace amplitude of the N=4 super-Yang-Mills theory at three and four
loop order and points to the existence of additional structure in both the
deformed and undeformed theories.
|
[
{
"created": "Tue, 24 Jan 2012 15:26:46 GMT",
"version": "v1"
}
] |
2015-06-03
|
[
[
"Jin",
"Q.",
""
],
[
"Roiban",
"R.",
""
]
] |
The beta-deformation is one of the two superconformal deformations of the N=4 super-Yang-Mills theory. At the planar level it shares all of its properties except for supersymmetry, which is broken to the minimal amount. The tree-level amplitudes of this theory exhibit new features which depart from the commonly assumed properties of gauge theories with fields in the adjoint representation. We analyze in detail complete one-loop amplitudes and a nonplanar two-loop amplitude of this theory and show that, despite having only N=1 supersymmetry, two-loop amplitudes have a further-improved ultraviolet behavior. This phenomenon is a counterpart of a similar improvement previously observed in the double-trace amplitude of the N=4 super-Yang-Mills theory at three and four loop order and points to the existence of additional structure in both the deformed and undeformed theories.
|
hep-th/9807205
|
Ofer Aharony
|
Ofer Aharony and Edward Witten
|
Anti-de Sitter Space and the Center of the Gauge Group
|
14 pages, harvmac
|
JHEP 9811:018,1998
|
10.1088/1126-6708/1998/11/018
|
IASSNS-HEP-98/66, RU-98-34
|
hep-th
| null |
Upon compactification on a circle, SU(N) gauge theory with all fields in the
adjoint representation acquires a $Z_N$ global symmetry because the center of
the gauge group is $Z_N$. For N=4 super Yang-Mills theory, we show how this
$Z_N$ "topological symmetry" arises in the context of the AdS/CFT
correspondence, and why the symmetry group is $Z_N$ rather than U(1). This
provides a test of the AdS/CFT correspondence for finite N. If the theory is
formulated on $R^3 \times S^1$ with anti-periodic boundary conditions for
fermions around the $S^1$, the topological symmetry is spontaneously broken; we
show that the domain walls are D-strings, and hence that flux tubes associated
with magnetic confinement can end on the domain walls associated with the
topological symmetry. For the (0,2) $A_{N-1}$ superconformal field theory in
six dimensions, we demonstrate an analogous phenomenon: a $Z_N$ global symmetry
group arises if this theory is compactified on a Riemann surface. In this case,
the domain walls are M-theory membranes.
|
[
{
"created": "Tue, 28 Jul 1998 15:34:27 GMT",
"version": "v1"
}
] |
2010-04-07
|
[
[
"Aharony",
"Ofer",
""
],
[
"Witten",
"Edward",
""
]
] |
Upon compactification on a circle, SU(N) gauge theory with all fields in the adjoint representation acquires a $Z_N$ global symmetry because the center of the gauge group is $Z_N$. For N=4 super Yang-Mills theory, we show how this $Z_N$ "topological symmetry" arises in the context of the AdS/CFT correspondence, and why the symmetry group is $Z_N$ rather than U(1). This provides a test of the AdS/CFT correspondence for finite N. If the theory is formulated on $R^3 \times S^1$ with anti-periodic boundary conditions for fermions around the $S^1$, the topological symmetry is spontaneously broken; we show that the domain walls are D-strings, and hence that flux tubes associated with magnetic confinement can end on the domain walls associated with the topological symmetry. For the (0,2) $A_{N-1}$ superconformal field theory in six dimensions, we demonstrate an analogous phenomenon: a $Z_N$ global symmetry group arises if this theory is compactified on a Riemann surface. In this case, the domain walls are M-theory membranes.
|
2209.09251
|
Sebastian Grieninger
|
Mario Flory, Sebastian Grieninger, Sergio Morales-Tejera
|
Critical and near-critical relaxation of holographic superfluids
|
v2: added appendix D + references; 5+6 pages, 2+2 figures
|
Phys. Rev. D 110, 026019 (2024)
|
10.1103/PhysRevD.110.026019
|
IFT-UAM/CSIC-22-108
|
hep-th cond-mat.mes-hall gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We investigate the relaxation of holographic superfluids after quenches, when
the end state is either tuned to be exactly at the critical point, or very
close to it. By solving the bulk equations of motion numerically, we
demonstrate that in the former case the system exhibits a power law falloff as
well as an emergent discrete scale invariance. The later case is in the regime
dominated by critical slowing down, and we show that there is an intermediate
time-range before the onset of late time exponential falloff, where the system
behaves similarly to the critical point with its power law falloff. We further
postulate a phenomenological Gross-Pitaevskii-like equation that is able to
make quantitative predictions for the behavior of the holographic superfluid
after near-critical quenches. Intriguingly, all parameters of our
phenomenological equation which describes the non-linear time evolution may be
fixed with information from the static equilibrium solutions and linear
response theory.
|
[
{
"created": "Mon, 19 Sep 2022 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jul 2024 15:05:49 GMT",
"version": "v2"
}
] |
2024-07-24
|
[
[
"Flory",
"Mario",
""
],
[
"Grieninger",
"Sebastian",
""
],
[
"Morales-Tejera",
"Sergio",
""
]
] |
We investigate the relaxation of holographic superfluids after quenches, when the end state is either tuned to be exactly at the critical point, or very close to it. By solving the bulk equations of motion numerically, we demonstrate that in the former case the system exhibits a power law falloff as well as an emergent discrete scale invariance. The later case is in the regime dominated by critical slowing down, and we show that there is an intermediate time-range before the onset of late time exponential falloff, where the system behaves similarly to the critical point with its power law falloff. We further postulate a phenomenological Gross-Pitaevskii-like equation that is able to make quantitative predictions for the behavior of the holographic superfluid after near-critical quenches. Intriguingly, all parameters of our phenomenological equation which describes the non-linear time evolution may be fixed with information from the static equilibrium solutions and linear response theory.
|
1606.07640
|
Till Bargheer
|
Till Bargheer
|
Systematics of the Multi-Regge Three-Loop Symbol
|
34 pages, 88 diagrams; v2: added references, fixed typos, minor
revision; v3: significant extension, new section on construction of the
function g3, new appendix on four-loop decomposition, published version
|
J. High Energ. Phys. (2017) 2017: 77
|
10.1007/JHEP11(2017)077
|
DESY 16-115
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We review the systematics of Mandelstam cut contributions to planar
scattering amplitudes in the multi-Regge limit. Isolating the relevant cut
terms, we explain how the BFKL expansion can be used to construct the
perturbative n-point multi-Regge limit amplitude in certain kinematic regions
from a finite number of basic building blocks. At three loops and at leading
logarithmic order, two building blocks are required. Their symbols are
extracted from the known three-loop six-point and seven-point symbols for
general kinematics. The new seven-point building block is constructed in terms
of single-valued multiple polylogarithms to the extent it can be determined
using the symbol as well as further symmetry and consistency constraints.
Beyond the leading logarithmic order, the subleading and sub-subleading terms
require two and one further building block, respectively. The latter could
either be reconstructed from further perturbative data, or from BFKL integrals
involving yet-unknown corrections to the central emission block.
|
[
{
"created": "Fri, 24 Jun 2016 11:06:47 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Jul 2016 12:44:05 GMT",
"version": "v2"
},
{
"created": "Thu, 30 Nov 2017 10:31:04 GMT",
"version": "v3"
}
] |
2018-01-18
|
[
[
"Bargheer",
"Till",
""
]
] |
We review the systematics of Mandelstam cut contributions to planar scattering amplitudes in the multi-Regge limit. Isolating the relevant cut terms, we explain how the BFKL expansion can be used to construct the perturbative n-point multi-Regge limit amplitude in certain kinematic regions from a finite number of basic building blocks. At three loops and at leading logarithmic order, two building blocks are required. Their symbols are extracted from the known three-loop six-point and seven-point symbols for general kinematics. The new seven-point building block is constructed in terms of single-valued multiple polylogarithms to the extent it can be determined using the symbol as well as further symmetry and consistency constraints. Beyond the leading logarithmic order, the subleading and sub-subleading terms require two and one further building block, respectively. The latter could either be reconstructed from further perturbative data, or from BFKL integrals involving yet-unknown corrections to the central emission block.
|
1301.1231
|
Masoumeh Ghasemkhani
|
Masoumeh Ghasemkhani
|
Study of the photon's pole structure in the noncommutative Schwinger
model
| null |
Eur. Phys. J. C (2014) 74: 2921
|
10.1140/epjc/s10052-014-2921-4
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The photon self-energy of the noncommutative Schwinger model at two- and
three-loop order is analyzed. It is shown that the mass spectrum of the model
does not receive any correction from noncommutativity parameter ($\theta$) at
these orders. Also it remains unchanged to all orders. The exact one-loop
effective action for the photon is also calculated.
|
[
{
"created": "Mon, 7 Jan 2013 15:39:42 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jun 2014 15:04:36 GMT",
"version": "v2"
},
{
"created": "Sat, 12 Jul 2014 19:22:37 GMT",
"version": "v3"
}
] |
2014-07-15
|
[
[
"Ghasemkhani",
"Masoumeh",
""
]
] |
The photon self-energy of the noncommutative Schwinger model at two- and three-loop order is analyzed. It is shown that the mass spectrum of the model does not receive any correction from noncommutativity parameter ($\theta$) at these orders. Also it remains unchanged to all orders. The exact one-loop effective action for the photon is also calculated.
|
1903.12100
|
Christoph Adam
|
C. Adam, K. Oles, T. Romanczukiewicz, A. Wereszczynski
|
Spectral Walls in Soliton Collisions
|
latex, 5 pages, 3 figures; v2: version published in PRL
|
Phys. Rev. Lett. 122, 241601 (2019)
|
10.1103/PhysRevLett.122.241601
| null |
hep-th math-ph math.MP nlin.PS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
During defect-antidefect scattering, bound modes frequently disappear into
the continuous spectrum before the defects themselves collide. This leads to a
structural, nonperturbative change in the spectrum of small excitations.
Sometimes the effect can be seen as a hard wall from which the defect can
bounce off. We show the existence of these spectral walls and study their
properties in the $\phi^4$ model with BPS preserving impurity, where the
spectral wall phenomenon can be isolated because the static force between the
antikink and the impurity vanishes. We conclude that such spectral walls should
surround all solitons possessing internal modes.
|
[
{
"created": "Thu, 28 Mar 2019 16:37:40 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Jun 2019 15:23:21 GMT",
"version": "v2"
}
] |
2019-06-26
|
[
[
"Adam",
"C.",
""
],
[
"Oles",
"K.",
""
],
[
"Romanczukiewicz",
"T.",
""
],
[
"Wereszczynski",
"A.",
""
]
] |
During defect-antidefect scattering, bound modes frequently disappear into the continuous spectrum before the defects themselves collide. This leads to a structural, nonperturbative change in the spectrum of small excitations. Sometimes the effect can be seen as a hard wall from which the defect can bounce off. We show the existence of these spectral walls and study their properties in the $\phi^4$ model with BPS preserving impurity, where the spectral wall phenomenon can be isolated because the static force between the antikink and the impurity vanishes. We conclude that such spectral walls should surround all solitons possessing internal modes.
|
2211.09129
|
Atakan Hilmi F{\i}rat
|
Harold Erbin, Atakan Hilmi F{\i}rat
|
Characterizing 4-string contact interaction using machine learning
|
28+10 pages, 13 figures, 6 tables
|
JHEP04(2024)016
|
10.1007/JHEP04(2024)016
|
MIT-CTP/5494
|
hep-th cs.LG math.CV
|
http://creativecommons.org/licenses/by/4.0/
|
The geometry of 4-string contact interaction of closed string field theory is
characterized using machine learning. We obtain Strebel quadratic differentials
on 4-punctured spheres as a neural network by performing unsupervised learning
with a custom-built loss function. This allows us to solve for local
coordinates and compute their associated mapping radii numerically. We also
train a neural network distinguishing vertex from Feynman region. As a check,
4-tachyon contact term in the tachyon potential is computed and a good
agreement with the results in the literature is observed. We argue that our
algorithm is manifestly independent of number of punctures and scaling it to
characterize the geometry of $n$-string contact interaction is feasible.
|
[
{
"created": "Wed, 16 Nov 2022 19:00:00 GMT",
"version": "v1"
}
] |
2024-04-08
|
[
[
"Erbin",
"Harold",
""
],
[
"Fırat",
"Atakan Hilmi",
""
]
] |
The geometry of 4-string contact interaction of closed string field theory is characterized using machine learning. We obtain Strebel quadratic differentials on 4-punctured spheres as a neural network by performing unsupervised learning with a custom-built loss function. This allows us to solve for local coordinates and compute their associated mapping radii numerically. We also train a neural network distinguishing vertex from Feynman region. As a check, 4-tachyon contact term in the tachyon potential is computed and a good agreement with the results in the literature is observed. We argue that our algorithm is manifestly independent of number of punctures and scaling it to characterize the geometry of $n$-string contact interaction is feasible.
|
0712.0876
|
Marco Ghiotti
|
Marco Ghiotti
|
Gauge fixing and BRST formalism in non-Abelian gauge theories
|
Jan 2007. 146pp. Ph.D. Thesis (Advisor: L. von Smekal and A.G.
Williams)
| null | null | null |
hep-th
| null |
In this Thesis we present a comprehensive study of perturbative and
non-perturbative non-Abelian gauge theories in the light of gauge-fixing
procedures, focusing our attention on the BRST formalism in Yang-Mills theory.
We propose first a model to re-write the Faddeev-Popov quantisation method in
terms of group-theoretical techniques and then we give a possible way to solve
the no-go theorem of Neuberger for lattice Yang-Mills theory with double BRST
symmetry. In the final part we present a study of the Batalin-Vilkovisky
quantisation method for non-linear gauges in non-Abelian gauge theories.
|
[
{
"created": "Thu, 6 Dec 2007 05:36:59 GMT",
"version": "v1"
}
] |
2007-12-07
|
[
[
"Ghiotti",
"Marco",
""
]
] |
In this Thesis we present a comprehensive study of perturbative and non-perturbative non-Abelian gauge theories in the light of gauge-fixing procedures, focusing our attention on the BRST formalism in Yang-Mills theory. We propose first a model to re-write the Faddeev-Popov quantisation method in terms of group-theoretical techniques and then we give a possible way to solve the no-go theorem of Neuberger for lattice Yang-Mills theory with double BRST symmetry. In the final part we present a study of the Batalin-Vilkovisky quantisation method for non-linear gauges in non-Abelian gauge theories.
|
1506.01847
|
David Tempo
|
Marc Henneaux, Alfredo Perez, David Tempo, Ricardo Troncoso
|
Hypersymmetry bounds and three-dimensional higher-spin black holes
|
26 pages
| null |
10.1007/JHEP08(2015)021
|
CECS-PHY-15/01
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the hypersymmetry bounds on the higher spin black hole
parameters that follow from the asymptotic symmetry superalgebra in higher-spin
anti-de Sitter gravity in three spacetime dimensions. We consider anti-de
Sitter hypergravity for which the analysis is most transparent. This is a
$osp(1\vert 4) \oplus osp(1\vert 4)$ Chern-Simons theory which contains,
besides a spin-$2$ field, a spin-$4$ field and a spin-$5/2$ field. The
asymptotic symmetry superalgebra is then the direct sum of two-copies of the
hypersymmetric extension $W_{(2,\frac52,4)}$ of $W_{(2,4)}$, which contains
fermionic generators of conformal weight $5/2$ and bosonic generators of
conformal weight $4$ in addition to the Virasoro generators. Following standard
methods, we derive bounds on the conserved charges from the anticommutator of
the hypersymmetry generators. The hypersymmetry bounds are nonlinear and are
saturated by the hypersymmetric black holes, which turn out to possess
$1/4$-hypersymmetry and to be "extreme", where extremality can be defined in
terms of the entropy: extreme black holes are those that fulfill the
extremality bounds beyond which the entropy ceases to be a real function of the
black hole parameters. We also extend the analysis to other $sp(4)$-solitonic
solutions which are maximally (hyper)symmetric.
|
[
{
"created": "Fri, 5 Jun 2015 09:59:35 GMT",
"version": "v1"
}
] |
2015-09-02
|
[
[
"Henneaux",
"Marc",
""
],
[
"Perez",
"Alfredo",
""
],
[
"Tempo",
"David",
""
],
[
"Troncoso",
"Ricardo",
""
]
] |
We investigate the hypersymmetry bounds on the higher spin black hole parameters that follow from the asymptotic symmetry superalgebra in higher-spin anti-de Sitter gravity in three spacetime dimensions. We consider anti-de Sitter hypergravity for which the analysis is most transparent. This is a $osp(1\vert 4) \oplus osp(1\vert 4)$ Chern-Simons theory which contains, besides a spin-$2$ field, a spin-$4$ field and a spin-$5/2$ field. The asymptotic symmetry superalgebra is then the direct sum of two-copies of the hypersymmetric extension $W_{(2,\frac52,4)}$ of $W_{(2,4)}$, which contains fermionic generators of conformal weight $5/2$ and bosonic generators of conformal weight $4$ in addition to the Virasoro generators. Following standard methods, we derive bounds on the conserved charges from the anticommutator of the hypersymmetry generators. The hypersymmetry bounds are nonlinear and are saturated by the hypersymmetric black holes, which turn out to possess $1/4$-hypersymmetry and to be "extreme", where extremality can be defined in terms of the entropy: extreme black holes are those that fulfill the extremality bounds beyond which the entropy ceases to be a real function of the black hole parameters. We also extend the analysis to other $sp(4)$-solitonic solutions which are maximally (hyper)symmetric.
|
2003.12234
|
Jean Thierry-Mieg
|
Jean Thierry-Mieg
|
Chirality, a new key for the definition of the connection and curvature
of a Lie-Kac super-algebra
|
10 pages, 24 references. This is the revised version published in
JHEP. Our new definition of the superconnection is unchanged relative to
version 1 of this preprint, but thanks to the careful help of the referee,
the discussion of the literature is streamlined and much improved
|
JHEP (2021) 111
|
10.1007/JHEP01(2021)111
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A natural generalization of a Lie algebra connection, or Yang-Mills field, to
the case of a Lie-Kac superalgebra, for example SU(m/n), just in terms of
ordinary complex functions and differentials, is proposed. Using the chirality
$\chi$ which defines the supertrace of the superalgebra: $STr(...) = Tr (\chi
...)$, we construct a covariant differential: $D = \chi (d + A) + \Phi$, where
A is the standard even Lie-subalgebra connection 1-form and $\Phi$ a scalar
field valued in the odd module. Despite the fact that $\Phi$ is a scalar,
$\Phi$ anticommutes with $(\chi A)$ because $\chi$ anticommutes with the odd
generators hidden in $\Phi$. Hence the curvature $F = DD$ is a
superalgebra-valued linear map which respects the Bianchi identity and
correctly defines a chiral parallel transport compatible with a generic Lie
superalgebra structure.
|
[
{
"created": "Fri, 27 Mar 2020 04:53:58 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Aug 2021 23:09:25 GMT",
"version": "v2"
}
] |
2021-08-11
|
[
[
"Thierry-Mieg",
"Jean",
""
]
] |
A natural generalization of a Lie algebra connection, or Yang-Mills field, to the case of a Lie-Kac superalgebra, for example SU(m/n), just in terms of ordinary complex functions and differentials, is proposed. Using the chirality $\chi$ which defines the supertrace of the superalgebra: $STr(...) = Tr (\chi ...)$, we construct a covariant differential: $D = \chi (d + A) + \Phi$, where A is the standard even Lie-subalgebra connection 1-form and $\Phi$ a scalar field valued in the odd module. Despite the fact that $\Phi$ is a scalar, $\Phi$ anticommutes with $(\chi A)$ because $\chi$ anticommutes with the odd generators hidden in $\Phi$. Hence the curvature $F = DD$ is a superalgebra-valued linear map which respects the Bianchi identity and correctly defines a chiral parallel transport compatible with a generic Lie superalgebra structure.
|
2306.12201
|
Surojit Dalui
|
Deeshani Mitra, Surojit Dalui, Subir Ghosh and Arpan Krishna Mitra
|
Acoustic Kerr Metric in Analogue Gravity
|
7 pages, no figure
| null | null | null |
gr-qc hep-th physics.flu-dyn quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The present paper is based on a previous work (involving two of the present
authors) where a generalized fluid dynamical model was proposed. The underlying
symplectic structure of the Lagrangian discrete degrees of freedom obeyed a
Non-Commutative algebra, generated by Berry curvature correction. In an Euler
(or Hamiltonian) framework, this is manifested as an extended algebra between
the fluid variables, leading to the extended fluid model. Here we study the
dynamics of sonic fluctuations that live in this effective analogue gravity
spacetime. Interestingly enough, the effective metric resembles that of a
spinning Black Hole; the spin is induced by the underlying Non-Commutative
structure. The effective mass and spin parameters of the Black Hole, in terms
of fluid parameters, are also identified. The connection of our model with
anomalous Hall systems may lead to observable signatures of the analogue black
hole in physical systems.
|
[
{
"created": "Wed, 21 Jun 2023 11:51:20 GMT",
"version": "v1"
}
] |
2023-06-23
|
[
[
"Mitra",
"Deeshani",
""
],
[
"Dalui",
"Surojit",
""
],
[
"Ghosh",
"Subir",
""
],
[
"Mitra",
"Arpan Krishna",
""
]
] |
The present paper is based on a previous work (involving two of the present authors) where a generalized fluid dynamical model was proposed. The underlying symplectic structure of the Lagrangian discrete degrees of freedom obeyed a Non-Commutative algebra, generated by Berry curvature correction. In an Euler (or Hamiltonian) framework, this is manifested as an extended algebra between the fluid variables, leading to the extended fluid model. Here we study the dynamics of sonic fluctuations that live in this effective analogue gravity spacetime. Interestingly enough, the effective metric resembles that of a spinning Black Hole; the spin is induced by the underlying Non-Commutative structure. The effective mass and spin parameters of the Black Hole, in terms of fluid parameters, are also identified. The connection of our model with anomalous Hall systems may lead to observable signatures of the analogue black hole in physical systems.
|
0807.1939
|
Piero Nicolini
|
Piero Nicolini
|
Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A
Review
|
77 pages, 35 figures, 5 tables, invited contribution; updated version
with enlarged reference list, in press on Int. J. of Mod. Phys. A
|
Int.J.Mod.Phys.A24:1229-1308,2009
|
10.1142/S0217751X09043353
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the state of the art regarding the relation between the physics of
Quantum Black Holes and Noncommutative Geometry. We start with a review of
models proposed in the literature for describing deformations of General
Relativity in the presence of noncommutativity, seen as an effective theory of
Quantum Gravity. We study the resulting metrics, proposed to replace or at
least to improve the conventional black hole solutions of Einstein's equation.
In particular, we analyze noncommutative-inspired solutions obtained in terms
of quasi-classical noncommutative coordinates: indeed because of their
surprising new features, these solutions enable us to circumvent long standing
problems with Quantum Field Theory in Curved Space and to cure the singular
behavior of gravity at the centers of black holes. As a consequence, for the
first time, we get a complete description of what we may call the black hole
SCRAM, the shut down of the emission of thermal radiation from the black hole:
in place of the conventional scenario of runaway evaporation in the Planck
phase, we find a zero temperature final state, a stable black hole remnant,
whose size and mass are determined uniquely in terms of the noncommutative
parameter $\theta$. This result turns out to be of vital importance for the
physics of the forthcoming experiments at the LHC, where mini black hole
production is foreseen in extreme energy hadron collisions. Because of this, we
devote the final part of this review to higher dimensional solutions and their
phenomenological implications for TeV Gravity.
|
[
{
"created": "Fri, 11 Jul 2008 22:04:23 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Feb 2009 11:01:08 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Nicolini",
"Piero",
""
]
] |
We present the state of the art regarding the relation between the physics of Quantum Black Holes and Noncommutative Geometry. We start with a review of models proposed in the literature for describing deformations of General Relativity in the presence of noncommutativity, seen as an effective theory of Quantum Gravity. We study the resulting metrics, proposed to replace or at least to improve the conventional black hole solutions of Einstein's equation. In particular, we analyze noncommutative-inspired solutions obtained in terms of quasi-classical noncommutative coordinates: indeed because of their surprising new features, these solutions enable us to circumvent long standing problems with Quantum Field Theory in Curved Space and to cure the singular behavior of gravity at the centers of black holes. As a consequence, for the first time, we get a complete description of what we may call the black hole SCRAM, the shut down of the emission of thermal radiation from the black hole: in place of the conventional scenario of runaway evaporation in the Planck phase, we find a zero temperature final state, a stable black hole remnant, whose size and mass are determined uniquely in terms of the noncommutative parameter $\theta$. This result turns out to be of vital importance for the physics of the forthcoming experiments at the LHC, where mini black hole production is foreseen in extreme energy hadron collisions. Because of this, we devote the final part of this review to higher dimensional solutions and their phenomenological implications for TeV Gravity.
|
2206.04005
|
Vasudev Shyam
|
Nicholas Ondo, Vasudev Shyam
|
The role of dRGT mass terms in cutoff holography and the
Randall--Sundrum II scenario
|
19 pages, no figures
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show how the $T^2$ deformation of large $N$, holographic conformal field
theories arise from coupling them to the quadratic mass term of ghost-free
massive gravity. We then show that in a certain approximation, the equations
arising from the variation of the background frame field are those of the
Randall--Sundrum II scenario.
|
[
{
"created": "Wed, 8 Jun 2022 16:36:29 GMT",
"version": "v1"
}
] |
2022-06-09
|
[
[
"Ondo",
"Nicholas",
""
],
[
"Shyam",
"Vasudev",
""
]
] |
We show how the $T^2$ deformation of large $N$, holographic conformal field theories arise from coupling them to the quadratic mass term of ghost-free massive gravity. We then show that in a certain approximation, the equations arising from the variation of the background frame field are those of the Randall--Sundrum II scenario.
|
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