id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1509.05418 | Evgeny Shaverin | Evgeny Shaverin | A breakdown of a universal hydrodynamic relation in Gauss-Bonnet gravity | 13 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the second order transport coefficients of a hydrodynamic theory
with Einstein-Gauss-Bonnet gravity dual. We show the breakdown of the universal
hydrodynamic relation $ -2 \lambda_0 + 4 \lambda_1 - \lambda_2 = 0 $ for the
general values of the Gauss-Bonnet coupling.
| [
{
"created": "Thu, 17 Sep 2015 20:16:40 GMT",
"version": "v1"
}
] | 2015-09-21 | [
[
"Shaverin",
"Evgeny",
""
]
] | We compute the second order transport coefficients of a hydrodynamic theory with Einstein-Gauss-Bonnet gravity dual. We show the breakdown of the universal hydrodynamic relation $ -2 \lambda_0 + 4 \lambda_1 - \lambda_2 = 0 $ for the general values of the Gauss-Bonnet coupling. |
hep-th/9804170 | M. B. Green | Tom Banks, Michael B. Green | Non-perturbative Effects in AdS5 * S5 String Theory and d=4 SUSY
Yang-Mills | Typographical errors corrected. JHEP version. 15 pages, harvmac
macros | JHEP 9805 (1998) 002 | 10.1088/1126-6708/1998/05/002 | RU-98-17; DAMTP-98-25; NSF-ITP-98-054 | hep-th | null | We show that five-dimensional anti de-Sitter space remains a solution to
low-energy type IIB supergravity when the leading higher-derivative corrections
to the classical supergravity (which are non-perturbative in the string
coupling) are included. Furthermore, at this order in the low energy expansion
of the IIB theory the graviton two-point and three-point functions in $AdS_5
\times S^5$ are shown not to be renormalized and a precise expression is
obtained for the four-graviton and related S-matrix elements. By invoking
Maldacena's conjectured connection between IIB superstring theory and
supersymmetric Yang-Mills theory corresponding statements are obtained
concerning correlation functions of the energy-momentum tensor and related
operators in the large-N Yang-Mills theory. This leads to interesting
non-perturbative statements and insights into the r\^ole of instantons in the
gauge theory.
| [
{
"created": "Mon, 27 Apr 1998 22:16:47 GMT",
"version": "v1"
},
{
"created": "Mon, 4 May 1998 18:00:41 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Jun 1998 10:28:36 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Banks",
"Tom",
""
],
[
"Green",
"Michael B.",
""
]
] | We show that five-dimensional anti de-Sitter space remains a solution to low-energy type IIB supergravity when the leading higher-derivative corrections to the classical supergravity (which are non-perturbative in the string coupling) are included. Furthermore, at this order in the low energy expansion of the IIB theory the graviton two-point and three-point functions in $AdS_5 \times S^5$ are shown not to be renormalized and a precise expression is obtained for the four-graviton and related S-matrix elements. By invoking Maldacena's conjectured connection between IIB superstring theory and supersymmetric Yang-Mills theory corresponding statements are obtained concerning correlation functions of the energy-momentum tensor and related operators in the large-N Yang-Mills theory. This leads to interesting non-perturbative statements and insights into the r\^ole of instantons in the gauge theory. |
0904.3814 | Manuel Calixto | M. Calixto and V. Aldaya | Thermal Vacuum Radiation in Spontaneously Broken Second-Quantized
Theories on Curved Phase Spaces of Constant Curvature | 17 pages. This article deals with a sort of "curvature-statistics
connection". To appear in Int. J. Geom. Meth. Mod. Phys | Int.J.Geom.Meth.Mod.Phys.6:513-531,2009 | 10.1142/S0219887809003655 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct second-quantized (field) theories on coset spaces of
pseudo-unitary groups U(p,q)$. The existence of degenerated quantum vacua
(coherent states of zero modes) leads to a breakdown of the original
pseudo-unitary symmetry. The action of some spontaneously broken symmetry
transformations destabilize the vacuum and make it to radiate. We study the
structure of this thermal radiation for curved phase spaces of constant
curvature: complex projective spaces CP^{N-1}=SU(N)/U(N-1) and open complex
balls CD^{N-1}=SU(1,N-1)/U(N-1). Positive curvature is related to generalized
Fermi-Dirac (FD) statistics, whereas negative curvature is connected with
generalized Bose-Einstein (BE) statistics, the standard cases being recovered
for N=2. We also make some comments on the contribution of the vacuum (dark)
energy to the cosmological constant and the phenomenon of inflation.
| [
{
"created": "Fri, 24 Apr 2009 07:41:15 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Calixto",
"M.",
""
],
[
"Aldaya",
"V.",
""
]
] | We construct second-quantized (field) theories on coset spaces of pseudo-unitary groups U(p,q)$. The existence of degenerated quantum vacua (coherent states of zero modes) leads to a breakdown of the original pseudo-unitary symmetry. The action of some spontaneously broken symmetry transformations destabilize the vacuum and make it to radiate. We study the structure of this thermal radiation for curved phase spaces of constant curvature: complex projective spaces CP^{N-1}=SU(N)/U(N-1) and open complex balls CD^{N-1}=SU(1,N-1)/U(N-1). Positive curvature is related to generalized Fermi-Dirac (FD) statistics, whereas negative curvature is connected with generalized Bose-Einstein (BE) statistics, the standard cases being recovered for N=2. We also make some comments on the contribution of the vacuum (dark) energy to the cosmological constant and the phenomenon of inflation. |
hep-th/0007238 | Don N. Page | Don N. Page | Defining Entropy Bounds | 30 pages, LaTeX, rewritten Introduction and references added | JHEP0810:007,2008 | 10.1088/1126-6708/2008/10/007 | Alberta-Thy-09-00 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Bekenstein's conjectured entropy bound for a system of linear size R and
energy E, S < 2 pi E R, has counterexamples for many of the ways in which the
"system," R, E, and S may be defined. Here new ways are proposed to define
these quantities for arbitrary nongravitational quantum field theories in flat
spacetime, such as defining R as the smallest radius outside of which only
vacuum expectation values occur. Difficulties of extending these definitions to
gravitational quantum theories are noted.
| [
{
"created": "Fri, 28 Jul 2000 22:54:16 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Sep 2008 20:00:57 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Page",
"Don N.",
""
]
] | Bekenstein's conjectured entropy bound for a system of linear size R and energy E, S < 2 pi E R, has counterexamples for many of the ways in which the "system," R, E, and S may be defined. Here new ways are proposed to define these quantities for arbitrary nongravitational quantum field theories in flat spacetime, such as defining R as the smallest radius outside of which only vacuum expectation values occur. Difficulties of extending these definitions to gravitational quantum theories are noted. |
0803.2481 | Edmond Iancu | Y. Hatta, E. Iancu, and A.H. Mueller | Jet evolution in the N=4 SYM plasma at strong coupling | 37 pages, 4 figures | JHEP 0805:037,2008 | 10.1088/1126-6708/2008/05/037 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Within the framework of the AdS/CFT correspondence, we study the time
evolution of an energetic R-current propagating through a finite temperature,
strongly coupled, N=4 SYM plasma and propose a physical picture for our
results. In this picture, the current splits into a pair of massless partons,
which then evolve via successive branchings, in such a way that energy is
quasi-democratically divided among the products of a branching. We point out a
duality between the transverse size of the partonic system produced through
branching and the radial distance traveled by the dual Maxwell wave in the AdS
geometry. For a time-like current, the branching occurs already in the vacuum,
where it gives rise to a system of low-momentum partons isotropically
distributed in the transverse plane. But at finite temperature, the branching
mechanism is modified by the medium, in that the rate for parton splitting is
enhanced by the transfer of transverse momentum from the partons to the plasma.
This mechanism, which controls the parton energy loss, is sensitive to the
energy density in the plasma, but not to the details of the thermal state. We
compute the lifetime of the current for various kinematical regimes and provide
physical interpretations for other, related, quantities, so like the meson
screening length, the drag force, or the trailing string, that were previously
computed via AdS/CFT techniques.
| [
{
"created": "Mon, 17 Mar 2008 18:32:45 GMT",
"version": "v1"
}
] | 2009-12-10 | [
[
"Hatta",
"Y.",
""
],
[
"Iancu",
"E.",
""
],
[
"Mueller",
"A. H.",
""
]
] | Within the framework of the AdS/CFT correspondence, we study the time evolution of an energetic R-current propagating through a finite temperature, strongly coupled, N=4 SYM plasma and propose a physical picture for our results. In this picture, the current splits into a pair of massless partons, which then evolve via successive branchings, in such a way that energy is quasi-democratically divided among the products of a branching. We point out a duality between the transverse size of the partonic system produced through branching and the radial distance traveled by the dual Maxwell wave in the AdS geometry. For a time-like current, the branching occurs already in the vacuum, where it gives rise to a system of low-momentum partons isotropically distributed in the transverse plane. But at finite temperature, the branching mechanism is modified by the medium, in that the rate for parton splitting is enhanced by the transfer of transverse momentum from the partons to the plasma. This mechanism, which controls the parton energy loss, is sensitive to the energy density in the plasma, but not to the details of the thermal state. We compute the lifetime of the current for various kinematical regimes and provide physical interpretations for other, related, quantities, so like the meson screening length, the drag force, or the trailing string, that were previously computed via AdS/CFT techniques. |
2305.06774 | Jose Ramon Espinosa | J.R. Espinosa | Thick Wall from Thin Walls | 9 pages | null | null | CERN-TH-2023-075 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An Euclidean bounce describing vacuum decay can be considered as an infinite
stack of concentric thin shells to which a thin-wall action can be assigned.
The integral over all shells produces then a tunneling action that is precisely
the action functional in field space of the so-called tunneling potential
formalism. This procedure, which works also when gravity is included, gives the
simplest derivation of such actions.
| [
{
"created": "Thu, 11 May 2023 12:54:47 GMT",
"version": "v1"
}
] | 2023-05-24 | [
[
"Espinosa",
"J. R.",
""
]
] | An Euclidean bounce describing vacuum decay can be considered as an infinite stack of concentric thin shells to which a thin-wall action can be assigned. The integral over all shells produces then a tunneling action that is precisely the action functional in field space of the so-called tunneling potential formalism. This procedure, which works also when gravity is included, gives the simplest derivation of such actions. |
2311.00027 | Stefano Baiguera | Stefano Baiguera | Aspects of Non-Relativistic Quantum Field Theories | 96 pages, 4 figures, review article; v2: matching the journal version
with small improvements and added citations | Eur. Phys. J. C 84, 268 (2024) | 10.1140/epjc/s10052-024-12630-y | null | hep-th cond-mat.other gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Non-relativistic quantum field theory is a framework that describes systems
where the velocities are much smaller than the speed of light. A large class of
those obey Schr\"{o}dinger invariance, which is the equivalent of the conformal
symmetry in the relativistic world. In this review, we pedagogically introduce
the main theoretical tools used to study non-relativistic physics: null
reduction and $c \rightarrow \infty$ limits, where $c$ is the speed of light.
We present a historical overview of non-relativistic wave equations, Jackiw-Pi
vortices, the Aharonov-Bohm scattering, and the trace anomaly for a
Schr\"{o}dinger scalar. We then review modern developments, including fermions
at unitarity, the quantum Hall effect, off-shell actions, and a systematic
classification of the trace anomaly. The last part of this review is dedicated
to current research topics. We define non-relativistic supersymmetry and a
corresponding superspace to covariantly deal with quantum corrections. Finally,
we define the Spin Matrix Theory limit of the AdS/CFT correspondence, which is
a non-relativistic sector of the duality obtained via a decoupling limit, where
a precise matching of the two sides can be achieved.
| [
{
"created": "Tue, 31 Oct 2023 18:00:01 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Mar 2024 21:54:50 GMT",
"version": "v2"
}
] | 2024-03-19 | [
[
"Baiguera",
"Stefano",
""
]
] | Non-relativistic quantum field theory is a framework that describes systems where the velocities are much smaller than the speed of light. A large class of those obey Schr\"{o}dinger invariance, which is the equivalent of the conformal symmetry in the relativistic world. In this review, we pedagogically introduce the main theoretical tools used to study non-relativistic physics: null reduction and $c \rightarrow \infty$ limits, where $c$ is the speed of light. We present a historical overview of non-relativistic wave equations, Jackiw-Pi vortices, the Aharonov-Bohm scattering, and the trace anomaly for a Schr\"{o}dinger scalar. We then review modern developments, including fermions at unitarity, the quantum Hall effect, off-shell actions, and a systematic classification of the trace anomaly. The last part of this review is dedicated to current research topics. We define non-relativistic supersymmetry and a corresponding superspace to covariantly deal with quantum corrections. Finally, we define the Spin Matrix Theory limit of the AdS/CFT correspondence, which is a non-relativistic sector of the duality obtained via a decoupling limit, where a precise matching of the two sides can be achieved. |
1004.0903 | Akikazu Hashimoto | Akikazu Hashimoto, Shinji Hirano, and Peter Ouyang | Branes and fluxes in special holonomy manifolds and cascading field
theories | 51 pages, 12 figures. Update in quantization of G4 on B8 in equations
(5.12) and (5.13) | JHEP 1106:101,2011 | 10.1007/JHEP06(2011)101 | MAD-TH-10-02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We conduct a study of holographic RG flows whose UV is a theory in 2+1
dimensions decoupled from gravity, and the IR is the N=6,8 superconformal fixed
point of ABJM. The solutions we consider are constructed by warping the
M-theory background whose eight spatial dimensions are manifolds of special
holonomies sp(1) times sp(1) and spin(7). Our main example for the spin(7)
holonomy manifold is the A8 geometry originally constructed by Cvetic, Gibbons,
Lu, and Pope. On the gravity side, our constructions generalize the earlier
construction of RG flow where the UV was N=3 Yang-Mills-Chern-Simons matter
system and are simpler in a number of ways. Through careful consideration of
Page, Maxwell, and brane charges, we identify the discrete and continuous
parameters characterizing each system. We then determine the range of the
discrete data, corresponding to the flux/rank for which the supersymmetry is
unbroken, and estimate the dynamical supersymmetry breaking scale as a function
of these data. We then point out the similarity between the physics of
supersymmetry breaking between our system and the system considered by
Maldacena and Nastase. We also describe the condition for unbroken
supersymmetry on class of construction based on a different class of spin(7)
manifolds known as B8 spaces whose IR is different from that of ABJM and
exhibit some interesting features.
| [
{
"created": "Tue, 6 Apr 2010 17:28:10 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Apr 2011 15:14:24 GMT",
"version": "v2"
}
] | 2015-03-14 | [
[
"Hashimoto",
"Akikazu",
""
],
[
"Hirano",
"Shinji",
""
],
[
"Ouyang",
"Peter",
""
]
] | We conduct a study of holographic RG flows whose UV is a theory in 2+1 dimensions decoupled from gravity, and the IR is the N=6,8 superconformal fixed point of ABJM. The solutions we consider are constructed by warping the M-theory background whose eight spatial dimensions are manifolds of special holonomies sp(1) times sp(1) and spin(7). Our main example for the spin(7) holonomy manifold is the A8 geometry originally constructed by Cvetic, Gibbons, Lu, and Pope. On the gravity side, our constructions generalize the earlier construction of RG flow where the UV was N=3 Yang-Mills-Chern-Simons matter system and are simpler in a number of ways. Through careful consideration of Page, Maxwell, and brane charges, we identify the discrete and continuous parameters characterizing each system. We then determine the range of the discrete data, corresponding to the flux/rank for which the supersymmetry is unbroken, and estimate the dynamical supersymmetry breaking scale as a function of these data. We then point out the similarity between the physics of supersymmetry breaking between our system and the system considered by Maldacena and Nastase. We also describe the condition for unbroken supersymmetry on class of construction based on a different class of spin(7) manifolds known as B8 spaces whose IR is different from that of ABJM and exhibit some interesting features. |
hep-th/0702111 | Roberto Emparan | Henriette Elvang, Roberto Emparan, Pau Figueras | Phases of Five-Dimensional Black Holes | 16 pages, 2 figures; v2: comments and ref added; v3: ref added | JHEP 0705:056,2007 | 10.1088/1126-6708/2007/05/056 | MIT-CTP-3812 | hep-th gr-qc | null | We argue that the configurations that approach maximal entropy in
five-dimensional asymptotically flat vacuum gravity, for fixed mass and angular
momentum, are `black Saturns' with a central, close to static, black hole and a
very thin black ring around it. For any value of the angular momentum, the
upper bound on the entropy is equal to the entropy of a static black hole of
the same total mass. For fixed mass, spin and area there are families of
multi-ring solutions with an arbitrarily large number of continuous parameters,
so the total phase space is infinite-dimensional. Somewhat surprisingly, the
phases of highest entropy are not in thermal equilibrium. Imposing
thermodynamical equilibrium drastically reduces the phase space to a finite,
small number of different phases.
| [
{
"created": "Wed, 14 Feb 2007 16:55:27 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Mar 2007 09:25:56 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Apr 2007 12:45:02 GMT",
"version": "v3"
}
] | 2009-11-13 | [
[
"Elvang",
"Henriette",
""
],
[
"Emparan",
"Roberto",
""
],
[
"Figueras",
"Pau",
""
]
] | We argue that the configurations that approach maximal entropy in five-dimensional asymptotically flat vacuum gravity, for fixed mass and angular momentum, are `black Saturns' with a central, close to static, black hole and a very thin black ring around it. For any value of the angular momentum, the upper bound on the entropy is equal to the entropy of a static black hole of the same total mass. For fixed mass, spin and area there are families of multi-ring solutions with an arbitrarily large number of continuous parameters, so the total phase space is infinite-dimensional. Somewhat surprisingly, the phases of highest entropy are not in thermal equilibrium. Imposing thermodynamical equilibrium drastically reduces the phase space to a finite, small number of different phases. |
1706.01683 | Ichiro Oda | Ichiro Oda | Quantum Aspects of Nonlocal Approach to the Cosmological Constant
Problem | A model in Section 5 is modified | Phys. Rev. D 96, 024027 (2017) | 10.1103/PhysRevD.96.024027 | DPUR/TH/55 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have recently presented a manifestly local and general coordinate
invariant formulation of a nonlocal approach to the cosmological constant
problem which has been proposed by Carroll and Remmen. In this article, based
on our formulation, we investigate some quantum aspects of this approach to the
cosmological constant problem. In particular, we explicitly evaluate quantum
effects to the effective cosmological constant from matter fields at one-loop
level, and show that the effective cosmological constant receives radiative
corrections and is not stable against quantum corrections so that it must be
fine-tuned at every stage in the loop expansion. Next, we will propose a new
scale-invariant model of a nonlocal approach to the cosmological constant
problem, and show explicitly that in this new model the effective cosmological
constant is indeed stable against radiative corrections.
| [
{
"created": "Tue, 6 Jun 2017 10:31:12 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Jun 2017 21:47:36 GMT",
"version": "v2"
}
] | 2017-07-26 | [
[
"Oda",
"Ichiro",
""
]
] | We have recently presented a manifestly local and general coordinate invariant formulation of a nonlocal approach to the cosmological constant problem which has been proposed by Carroll and Remmen. In this article, based on our formulation, we investigate some quantum aspects of this approach to the cosmological constant problem. In particular, we explicitly evaluate quantum effects to the effective cosmological constant from matter fields at one-loop level, and show that the effective cosmological constant receives radiative corrections and is not stable against quantum corrections so that it must be fine-tuned at every stage in the loop expansion. Next, we will propose a new scale-invariant model of a nonlocal approach to the cosmological constant problem, and show explicitly that in this new model the effective cosmological constant is indeed stable against radiative corrections. |
1606.05160 | Dietmar Klemm | Sergio L. Cacciatori, Dietmar Klemm and Marco Rabbiosi | Duality invariance in Fayet-Iliopoulos gauged supergravity | 31 pages, uses jheppub.sty. Final version to appear on JHEP | null | 10.1007/JHEP09(2016)088 | IFUM-1048-FT | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a geometric method to study the residual symmetries in $N=2$,
$d=4$ $\text{U}(1)$ Fayet-Iliopoulos (FI) gauged supergravity. It essentially
involves the stabilization of the symplectic vector of gauge couplings (FI
parameters) under the action of the U-duality symmetry of the ungauged theory.
In particular we are interested in those transformations that act non-trivially
on the solutions and produce scalar hair and dyonic black holes from a given
seed. We illustrate the procedure for finding this group in general and then
show how it works in some specific models. For the prepotential $F=-iX^0X^1$,
we use our method to add one more parameter to the rotating Chow-Comp\`ere
solution, representing scalar hair.
| [
{
"created": "Thu, 16 Jun 2016 12:40:20 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Sep 2016 09:17:48 GMT",
"version": "v2"
}
] | 2016-10-12 | [
[
"Cacciatori",
"Sergio L.",
""
],
[
"Klemm",
"Dietmar",
""
],
[
"Rabbiosi",
"Marco",
""
]
] | We propose a geometric method to study the residual symmetries in $N=2$, $d=4$ $\text{U}(1)$ Fayet-Iliopoulos (FI) gauged supergravity. It essentially involves the stabilization of the symplectic vector of gauge couplings (FI parameters) under the action of the U-duality symmetry of the ungauged theory. In particular we are interested in those transformations that act non-trivially on the solutions and produce scalar hair and dyonic black holes from a given seed. We illustrate the procedure for finding this group in general and then show how it works in some specific models. For the prepotential $F=-iX^0X^1$, we use our method to add one more parameter to the rotating Chow-Comp\`ere solution, representing scalar hair. |
0910.2860 | Piero Nicolini | Piero Nicolini and Massimiliano Rinaldi | A minimal length versus the Unruh effect | 5 pages, no figure, minor modifications and updated reference list,
version matching that published by Physics Letters B | Phys.Lett.B695:303-306,2011 | 10.1016/j.physletb.2010.10.051 | null | hep-th cond-mat.other gr-qc hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this Letter we study the radiation measured by an accelerated detector,
coupled to a scalar field, in the presence of a fundamental minimal length. The
latter is implemented by means of a modified momentum space Green's function.
After calibrating the detector, we find that the net flux of field quanta is
negligible, and that there is no Planckian spectrum. We discuss possible
interpretations of this result, and we comment on experimental implications in
heavy ion collisions and atomic systems.
| [
{
"created": "Thu, 15 Oct 2009 13:40:12 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Oct 2009 21:53:19 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Mar 2010 16:38:25 GMT",
"version": "v3"
},
{
"created": "Mon, 20 Dec 2010 13:15:05 GMT",
"version": "v4"
}
] | 2010-12-23 | [
[
"Nicolini",
"Piero",
""
],
[
"Rinaldi",
"Massimiliano",
""
]
] | In this Letter we study the radiation measured by an accelerated detector, coupled to a scalar field, in the presence of a fundamental minimal length. The latter is implemented by means of a modified momentum space Green's function. After calibrating the detector, we find that the net flux of field quanta is negligible, and that there is no Planckian spectrum. We discuss possible interpretations of this result, and we comment on experimental implications in heavy ion collisions and atomic systems. |
1304.6349 | Archisman Ghosh | Pallab Basu and Archisman Ghosh | Dissipative Nonlinear Dynamics in Holography | 12 pages, 7 figures; v2: References added, Changes complying to
referee's suggestions made | Phys. Rev. D 89, 046004 (2014) | 10.1103/PhysRevD.89.046004 | ICTS/2013/16 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We look at the response of a nonlinearly coupled scalar field in an
asymptotically AdS black brane geometry and find a behavior very similar to
that of known dissipative nonlinear systems like the chaotic pendulum.
Transition to chaos proceeds through a series of period-doubling bifurcations.
The presence of dissipation, crucial to this behavior, arises naturally in a
black hole background from the ingoing conditions imposed at the horizon.
AdS/CFT translates our solution to a chaotic response of the operator dual to
the scalar field. Our setup can also be used to study quenchlike behavior in
strongly coupled nonlinear systems.
| [
{
"created": "Tue, 23 Apr 2013 17:01:13 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Feb 2014 15:52:25 GMT",
"version": "v2"
}
] | 2014-02-26 | [
[
"Basu",
"Pallab",
""
],
[
"Ghosh",
"Archisman",
""
]
] | We look at the response of a nonlinearly coupled scalar field in an asymptotically AdS black brane geometry and find a behavior very similar to that of known dissipative nonlinear systems like the chaotic pendulum. Transition to chaos proceeds through a series of period-doubling bifurcations. The presence of dissipation, crucial to this behavior, arises naturally in a black hole background from the ingoing conditions imposed at the horizon. AdS/CFT translates our solution to a chaotic response of the operator dual to the scalar field. Our setup can also be used to study quenchlike behavior in strongly coupled nonlinear systems. |
2006.01622 | Anatoliy Korybut | A.V. Korybut | Star product for deformed oscillator algebra $\mathsf{Aq}(2,\nu)$ | null | null | 10.1088/1751-8121/ac367e | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An analogue of the Moyal star product is presented for the deformed
oscillator algebra. It contains several homotopy-like additional integration
parameters in the multiplication kernel generalizing the differential Moyal
star-product formula $\exp[i\epsilon_{\alpha\beta}\partial^\alpha
\partial^\beta]$. Using Pochhammer formula, integration over these parameters
is carried over a Riemann surface associated with the expression of the type
$z^x (1-z)^y$ where $x$ and $y$ are arbitrary real numbers.
| [
{
"created": "Tue, 2 Jun 2020 14:04:59 GMT",
"version": "v1"
}
] | 2021-12-22 | [
[
"Korybut",
"A. V.",
""
]
] | An analogue of the Moyal star product is presented for the deformed oscillator algebra. It contains several homotopy-like additional integration parameters in the multiplication kernel generalizing the differential Moyal star-product formula $\exp[i\epsilon_{\alpha\beta}\partial^\alpha \partial^\beta]$. Using Pochhammer formula, integration over these parameters is carried over a Riemann surface associated with the expression of the type $z^x (1-z)^y$ where $x$ and $y$ are arbitrary real numbers. |
hep-th/0107213 | Leopoldo A. Pando Zayas | Leopoldo A. Pando Zayas | On a Deformation of 3-Branes | 12 pages, no figures, Latex | Nucl.Phys. B622 (2002) 257-268 | 10.1016/S0550-3213(01)00553-3 | MCTP-01-33 | hep-th | null | We construct an explicit class of solutions of type IIB supergravity that is
a smooth deformation of the 3-brane class of solutions. The solution is
nonsupersymmetric and involves nontrivial dilaton and axion fields as well as
the standard 5-form field strength. One of the main features of the solution is
that for large values of the radius the deformation is small and it
asymptotically approaches the undeformed 3-brane solution, signaling a
restoration of conformal invariance in the UV for the dual gauge theory. We
suggest that the supergravity deformation corresponds to a massive deformation
on the dual gauge theory and consequently the deformed theory has the
undeformed one as an ultraviolet fixed point. In cases where the original
3-brane solution preserves some amount of supersymmetry we suggest that the
gauge theory interpretation is that of soft supersymmetry breaking. We discuss
the deformation for D3-branes on the conifold and the generalized conifold
explicitly. We show that the semiclassical behavior of the Wilson loop suggests
that the corresponding gauge theory duals are confining.
| [
{
"created": "Tue, 24 Jul 2001 18:35:32 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Zayas",
"Leopoldo A. Pando",
""
]
] | We construct an explicit class of solutions of type IIB supergravity that is a smooth deformation of the 3-brane class of solutions. The solution is nonsupersymmetric and involves nontrivial dilaton and axion fields as well as the standard 5-form field strength. One of the main features of the solution is that for large values of the radius the deformation is small and it asymptotically approaches the undeformed 3-brane solution, signaling a restoration of conformal invariance in the UV for the dual gauge theory. We suggest that the supergravity deformation corresponds to a massive deformation on the dual gauge theory and consequently the deformed theory has the undeformed one as an ultraviolet fixed point. In cases where the original 3-brane solution preserves some amount of supersymmetry we suggest that the gauge theory interpretation is that of soft supersymmetry breaking. We discuss the deformation for D3-branes on the conifold and the generalized conifold explicitly. We show that the semiclassical behavior of the Wilson loop suggests that the corresponding gauge theory duals are confining. |
hep-th/9612182 | String Theory Guest | B.S. Acharya and M. O'Loughlin | Self-Duality in D <= 8-dimensional Euclidean Gravity | 9 pages, Latex, factors in eqn. (6) corrected, acknowledgement and
reference added, typos fixed | Phys.Rev.D55:4521-4524,1997 | 10.1103/PhysRevD.55.R4521 | QMW-PH-96-28, IC/96/276 | hep-th dg-ga gr-qc math.DG | null | In the context of D-dimensional Euclidean gravity, we define the natural
generalisation to D-dimensions of the self-dual Yang-Mills equations, as
duality conditions on the curvature 2-form of a Riemannian manifold. Solutions
to these self-duality equations are provided by manifolds of SU(2), SU(3), G_2
and Spin(7) holonomy. The equations in eight dimensions are a master set for
those in lower dimensions. By considering gauge fields propagating on these
self-dual manifolds and embedding the spin connection in the gauge connection,
solutions to the D-dimensional equations for self-dual Yang-Mills fields are
found. We show that the Yang-Mills action on such manifolds is topologically
bounded from below, with the bound saturated precisely when the Yang-Mills
field is self-dual. These results have a natural interpretation in
supersymmetric string theory.
| [
{
"created": "Tue, 17 Dec 1996 21:04:00 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Dec 1996 18:32:38 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Acharya",
"B. S.",
""
],
[
"O'Loughlin",
"M.",
""
]
] | In the context of D-dimensional Euclidean gravity, we define the natural generalisation to D-dimensions of the self-dual Yang-Mills equations, as duality conditions on the curvature 2-form of a Riemannian manifold. Solutions to these self-duality equations are provided by manifolds of SU(2), SU(3), G_2 and Spin(7) holonomy. The equations in eight dimensions are a master set for those in lower dimensions. By considering gauge fields propagating on these self-dual manifolds and embedding the spin connection in the gauge connection, solutions to the D-dimensional equations for self-dual Yang-Mills fields are found. We show that the Yang-Mills action on such manifolds is topologically bounded from below, with the bound saturated precisely when the Yang-Mills field is self-dual. These results have a natural interpretation in supersymmetric string theory. |
1412.8075 | Artymowski Michal | Michal Artymowski, Zygmunt Lalak and Marek Lewicki | Inflation and dark energy from the Brans-Dicke theory | 14 pages, 5 figures. arXiv admin note: substantial text overlap with
arXiv:1405.7818 | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the Brans-Dicke theory motivated by the $f(R) = R + \alpha R^n -
\beta R^{2-n}$ model to obtain a stable minimum of the Einstein frame scalar
potential of the Brans-Dicke field. As a result we have obtained an
inflationary scalar potential with non-zero value of residual vacuum energy,
which may be a source of Dark Energy. In addition we discuss the probability of
quantum tunnelling from the minimum of the potential. Our results can be easily
consistent with PLANCK or BICEP2 data for appropriate choices of the value of
$n$ and $\omega$.
| [
{
"created": "Sat, 27 Dec 2014 19:04:59 GMT",
"version": "v1"
}
] | 2014-12-30 | [
[
"Artymowski",
"Michal",
""
],
[
"Lalak",
"Zygmunt",
""
],
[
"Lewicki",
"Marek",
""
]
] | We consider the Brans-Dicke theory motivated by the $f(R) = R + \alpha R^n - \beta R^{2-n}$ model to obtain a stable minimum of the Einstein frame scalar potential of the Brans-Dicke field. As a result we have obtained an inflationary scalar potential with non-zero value of residual vacuum energy, which may be a source of Dark Energy. In addition we discuss the probability of quantum tunnelling from the minimum of the potential. Our results can be easily consistent with PLANCK or BICEP2 data for appropriate choices of the value of $n$ and $\omega$. |
hep-th/0407144 | Giulio Bonelli | G. Bonelli (ULB) | On the boundary gauge dual of closed tensionless free strings in AdS | 1+12 pages, v.2: typos, v.3 Published version | JHEP0411:059,2004 | 10.1088/1126-6708/2004/11/059 | ULB-TH/04-03 | hep-th | null | We consider closed free tensionless strings in $AdS_d$, calculate exactly the
boundary/boundary string evolution kernel and find the string dynamics to be
completely frozen. We interpret therefore the boundary configurations as Wilson
loop operators in a confining phase. This is taken as an argument in favor to
the dual weakly coupled abelian gauge theory being that of $(d-4)$-forms in the
$(d-1)$ dimensional boundary Minkowski space.
| [
{
"created": "Fri, 16 Jul 2004 15:07:57 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Aug 2004 09:01:59 GMT",
"version": "v2"
},
{
"created": "Wed, 8 Dec 2004 14:49:38 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Bonelli",
"G.",
"",
"ULB"
]
] | We consider closed free tensionless strings in $AdS_d$, calculate exactly the boundary/boundary string evolution kernel and find the string dynamics to be completely frozen. We interpret therefore the boundary configurations as Wilson loop operators in a confining phase. This is taken as an argument in favor to the dual weakly coupled abelian gauge theory being that of $(d-4)$-forms in the $(d-1)$ dimensional boundary Minkowski space. |
1803.08748 | Leonardo Modesto | Stefano Giaccari and Leonardo Modesto | Causality in Nonlocal Gravity | 7 pages, 2 figures | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the causal structure of a class of weakly nonlocal gravitational
theories (eventually coupled to matter) that are compatible with perturbative
unitarity and finiteness at quantum level. In particular, we show that in
nonlocal quantum gravity a Shapiro's time advance never occurs. Moreover, we
provide a recipe to construct a general ultraviolet complete gravitational
theory coupled to matter (with or without supersymmetry) compatible with
causality. Therefore, nonlocal gravity is consistent with causality, as well as
string theory.
| [
{
"created": "Fri, 23 Mar 2018 11:35:53 GMT",
"version": "v1"
}
] | 2018-03-26 | [
[
"Giaccari",
"Stefano",
""
],
[
"Modesto",
"Leonardo",
""
]
] | We study the causal structure of a class of weakly nonlocal gravitational theories (eventually coupled to matter) that are compatible with perturbative unitarity and finiteness at quantum level. In particular, we show that in nonlocal quantum gravity a Shapiro's time advance never occurs. Moreover, we provide a recipe to construct a general ultraviolet complete gravitational theory coupled to matter (with or without supersymmetry) compatible with causality. Therefore, nonlocal gravity is consistent with causality, as well as string theory. |
2007.11011 | Michele Cicoli | Michele Cicoli, Giuseppe Dibitetto and Francisco G. Pedro | Out of the Swampland with Multifield Quintessence? | 16 pages, 6 figures; typos corrected and references added | null | 10.1007/JHEP10(2020)035 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Multifield models with a curved field space have already been shown to be
able to provide viable quintessence models for steep potentials that satisfy
swampland bounds. The simplest dynamical systems of this type are obtained by
coupling Einstein gravity to two scalar fields with a curved field space. In
this paper we study the stability properties of the non-trivial fixed points of
this dynamical system for a general functional dependence of the kinetic
coupling function and the scalar potential. We find the existence of
non-geodesic trajectories with a sharp turning rate in field space which can
give rise to late-time cosmic acceleration with no need for flat potentials. In
particular, we discuss the properties of the phase diagram of the system and
the corresponding time evolution when varying the functional dependence of the
kinetic coupling. Interestingly, upon properly tuning the initial conditions of
the field values, we find trajectories that can describe the current state of
the universe. This could represent a promising avenue to build viable
quintessence models out of the swampland if they could be consistently embedded
in explicit string constructions.
| [
{
"created": "Tue, 21 Jul 2020 18:00:21 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Sep 2020 16:48:22 GMT",
"version": "v2"
}
] | 2020-10-28 | [
[
"Cicoli",
"Michele",
""
],
[
"Dibitetto",
"Giuseppe",
""
],
[
"Pedro",
"Francisco G.",
""
]
] | Multifield models with a curved field space have already been shown to be able to provide viable quintessence models for steep potentials that satisfy swampland bounds. The simplest dynamical systems of this type are obtained by coupling Einstein gravity to two scalar fields with a curved field space. In this paper we study the stability properties of the non-trivial fixed points of this dynamical system for a general functional dependence of the kinetic coupling function and the scalar potential. We find the existence of non-geodesic trajectories with a sharp turning rate in field space which can give rise to late-time cosmic acceleration with no need for flat potentials. In particular, we discuss the properties of the phase diagram of the system and the corresponding time evolution when varying the functional dependence of the kinetic coupling. Interestingly, upon properly tuning the initial conditions of the field values, we find trajectories that can describe the current state of the universe. This could represent a promising avenue to build viable quintessence models out of the swampland if they could be consistently embedded in explicit string constructions. |
hep-th/9910179 | G. Lopes Cardoso | Gabriel Lopes Cardoso, Bernard de Wit and Thomas Mohaupt | Area law corrections from state counting and supergravity | 10 pages, LaTeX; submitted to Proceedings of Strings 99 | Class.Quant.Grav.17:1007-1015,2000 | 10.1088/0264-9381/17/5/310 | AEI-1999-27, THU-99/29 | hep-th | null | Modifications of the Bekenstein-Hawking area law for black holes are crucial
in order to find agreement between the microscopic entropy based on state
counting and the macroscopic entropy based on an effective field theory
computation. We discuss this and related issues for the case of
four-dimensional N=2 supersymmetric black holes. We also briefly comment on the
state counting for N=4 and N=8 black holes.
| [
{
"created": "Fri, 22 Oct 1999 14:49:29 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Cardoso",
"Gabriel Lopes",
""
],
[
"de Wit",
"Bernard",
""
],
[
"Mohaupt",
"Thomas",
""
]
] | Modifications of the Bekenstein-Hawking area law for black holes are crucial in order to find agreement between the microscopic entropy based on state counting and the macroscopic entropy based on an effective field theory computation. We discuss this and related issues for the case of four-dimensional N=2 supersymmetric black holes. We also briefly comment on the state counting for N=4 and N=8 black holes. |
1106.3664 | Kimyeong Lee | Stefano Bolognesi (Cambridge University), Kimyeong Lee (KIAS) | Instanton Partons in 5-dim SU(N) Gauge Theory | 23 pages, no figures, more references added | null | 10.1103/PhysRevD.84.106001 | DAMTP-2011-41, KIAS-P11026 | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The circle compactification of the 6-dim (2,0) superconformal theory of
$A_{N-1}$ type leads the 5-dim SU(N) maximally supersymmetric gauge theory.
Instanton solitons embody Kaluza-Klein modes and are conjectured to be composed
of partonic constituents. We realize such a parton of 1/N instanton topological
charge at the intersection of magnetic flux sheets. After a further
compactification with nontrivial Wilson line expectation value, instantons or
calorons have been shown to be split into fundamental monopoles of fractional
instanton charge. In the symmetric phase with trivial Wilson line expectation
value, BPS instanton partons emerge more concretely as nonabelian BPS monopoles
of minimum charge allowed in Dirac quantization.
| [
{
"created": "Sat, 18 Jun 2011 15:51:19 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jul 2011 08:24:24 GMT",
"version": "v2"
}
] | 2015-05-28 | [
[
"Bolognesi",
"Stefano",
"",
"Cambridge University"
],
[
"Lee",
"Kimyeong",
"",
"KIAS"
]
] | The circle compactification of the 6-dim (2,0) superconformal theory of $A_{N-1}$ type leads the 5-dim SU(N) maximally supersymmetric gauge theory. Instanton solitons embody Kaluza-Klein modes and are conjectured to be composed of partonic constituents. We realize such a parton of 1/N instanton topological charge at the intersection of magnetic flux sheets. After a further compactification with nontrivial Wilson line expectation value, instantons or calorons have been shown to be split into fundamental monopoles of fractional instanton charge. In the symmetric phase with trivial Wilson line expectation value, BPS instanton partons emerge more concretely as nonabelian BPS monopoles of minimum charge allowed in Dirac quantization. |
2208.03334 | Matias Ginzburg | Lucas Daguerre, Matias Ginzburg, Gonzalo Torroba | Holographic entanglement entropy inequalities beyond strong
subadditivity | 33 pages, 3 figures | null | 10.1007/JHEP10(2022)199 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The vacuum entanglement entropy in quantum field theory provides
nonperturbative information about renormalization group flows. Most studies so
far have focused on the universal terms, related to the Weyl anomaly in even
space-time dimensions, and the sphere free energy $F$ in odd dimensions. In
this work we study the entanglement entropy on a sphere of radius $R$ in a
large radius limit, for field theories with gravity duals. At large radius the
entropy admits a geometric expansion in powers of $R$; the leading term is the
well-known area term, and there are subleading contributions. These terms can
be physical, they contain information about the full renormalization group
flow, and they reproduce known monotonicity theorems in particular cases. We
set up an efficient method for calculating them using the Hamilton-Jacobi
equation for the holographic entanglement entropy. We first reproduce the known
result for the area term, the coefficient multiplying $R^{d-2}$ in the
entanglement entropy. We then obtain the holographic result for the $R^{d-4}$
term and establish its irreversibility. Finally, we derive the $R^{d-6}$
coefficient for holographic theories, and also establish its irreversibility.
This result goes beyond what has been proved in quantum field theory based on
strong subadditivity, and hints towards new methods for analyzing the
monotonicity of the renormalization group in space-time dimensions bigger than
four.
| [
{
"created": "Fri, 5 Aug 2022 18:01:47 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jan 2023 12:10:07 GMT",
"version": "v2"
}
] | 2023-01-24 | [
[
"Daguerre",
"Lucas",
""
],
[
"Ginzburg",
"Matias",
""
],
[
"Torroba",
"Gonzalo",
""
]
] | The vacuum entanglement entropy in quantum field theory provides nonperturbative information about renormalization group flows. Most studies so far have focused on the universal terms, related to the Weyl anomaly in even space-time dimensions, and the sphere free energy $F$ in odd dimensions. In this work we study the entanglement entropy on a sphere of radius $R$ in a large radius limit, for field theories with gravity duals. At large radius the entropy admits a geometric expansion in powers of $R$; the leading term is the well-known area term, and there are subleading contributions. These terms can be physical, they contain information about the full renormalization group flow, and they reproduce known monotonicity theorems in particular cases. We set up an efficient method for calculating them using the Hamilton-Jacobi equation for the holographic entanglement entropy. We first reproduce the known result for the area term, the coefficient multiplying $R^{d-2}$ in the entanglement entropy. We then obtain the holographic result for the $R^{d-4}$ term and establish its irreversibility. Finally, we derive the $R^{d-6}$ coefficient for holographic theories, and also establish its irreversibility. This result goes beyond what has been proved in quantum field theory based on strong subadditivity, and hints towards new methods for analyzing the monotonicity of the renormalization group in space-time dimensions bigger than four. |
hep-th/0105321 | Gavin Johnstone | Gavin Johnstone (University of Durham) | Fusion Rules for Affine sl(2|1;C) at Fractional Level k=-1/2 | LaTeX, 18 pages; references added | null | null | DCPT-01/45 | hep-th | null | We calculate fusion rules for the admissible representations of the affine
superalgebra sl(2|1;C) at fractional level k=-1/2 in the Ramond sector. By
representing 3-point correlation functions involving a singular vector as the
action of differential operators on the sl(2|1;C) invariant 3-point function,
we obtain conditions on permitted quantum numbers involved. We find that in
this case the primary fields close under fusion.
| [
{
"created": "Thu, 31 May 2001 21:58:39 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Jun 2001 20:20:25 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Johnstone",
"Gavin",
"",
"University of Durham"
]
] | We calculate fusion rules for the admissible representations of the affine superalgebra sl(2|1;C) at fractional level k=-1/2 in the Ramond sector. By representing 3-point correlation functions involving a singular vector as the action of differential operators on the sl(2|1;C) invariant 3-point function, we obtain conditions on permitted quantum numbers involved. We find that in this case the primary fields close under fusion. |
hep-th/0409228 | Jun-Bao Wu | Xun Su, Jun-Bao Wu | Six-Quark Amplitudes from Fermionic MHV Vertices | Latex file, 16 pages, 4 figures | Mod.Phys.Lett. A20 (2005) 1065-1076 | 10.1142/S0217732305016427 | null | hep-th | null | The fermionic extension of the CSW approach to perturbative gauge theory
coupled with fermions is used to compute the six-quark QCD amplitudes. We find
complete agreement with the results obtained by using the usual Feynman rules.
| [
{
"created": "Thu, 23 Sep 2004 05:27:58 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Su",
"Xun",
""
],
[
"Wu",
"Jun-Bao",
""
]
] | The fermionic extension of the CSW approach to perturbative gauge theory coupled with fermions is used to compute the six-quark QCD amplitudes. We find complete agreement with the results obtained by using the usual Feynman rules. |
1107.1013 | Taotao Qiu | Taotao Qiu and Emmanuel N. Saridakis | Entropic Force Scenarios and Eternal Inflation | 13 pages, no figure | Phys. Rev. D 85, 043504 (2012) | 10.1103/PhysRevD.85.043504 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine various entropic inflation scenarios, under the light of
eternality. After describing the inflation realization and the normal condition
for inflation to last at the background level, we investigate the conditions
for eternal inflation with the effect of thermal fluctuations produced from
standard radiation and from the holographic screen. Furthermore, we incorporate
stochastic quantum fluctuations through a phenomenological, Langevin analysis,
studying whether they can affect the inflation eternality. In
single-holographic-screen scenarios eternality can be easily obtained, while in
double-screen considerations inflation is eternal only in the high-energy
regime. Thus, from the cosmological point of view, one should take these into
account before he can consider entropic gravity as a candidate for the
description of nature. However, form the string theory point of view, inflation
eternality may form the background for the "Landscape" of string/M theory
vacua, leading to new perspectives in entropy gravity.
| [
{
"created": "Wed, 6 Jul 2011 02:47:48 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Feb 2012 05:05:56 GMT",
"version": "v2"
}
] | 2012-02-09 | [
[
"Qiu",
"Taotao",
""
],
[
"Saridakis",
"Emmanuel N.",
""
]
] | We examine various entropic inflation scenarios, under the light of eternality. After describing the inflation realization and the normal condition for inflation to last at the background level, we investigate the conditions for eternal inflation with the effect of thermal fluctuations produced from standard radiation and from the holographic screen. Furthermore, we incorporate stochastic quantum fluctuations through a phenomenological, Langevin analysis, studying whether they can affect the inflation eternality. In single-holographic-screen scenarios eternality can be easily obtained, while in double-screen considerations inflation is eternal only in the high-energy regime. Thus, from the cosmological point of view, one should take these into account before he can consider entropic gravity as a candidate for the description of nature. However, form the string theory point of view, inflation eternality may form the background for the "Landscape" of string/M theory vacua, leading to new perspectives in entropy gravity. |
hep-th/9602016 | Giuseppe Dito | Giuseppe Dito, Moshe Flato, Daniel Sternheimer and Leon Takhtajan | Deformation Quantization and Nambu Mechanics | Plain LaTeX file with AMS Fonts. 25 pages. Minor clarifying additions
and stylistic corrections. To be published in CMP | Commun.Math.Phys. 183 (1997) 1-22 | 10.1007/BF02509794 | RIMS preprint, February 1996 | hep-th math.QA q-alg | null | Starting from deformation quantization (star-products), the quantization
problem of Nambu Mechanics is investigated. After considering some
impossibilities and pushing some analogies with field quantization, a solution
to the quantization problem is presented in the novel approach of Zariski
quantization of fields (observables, functions, in this case polynomials). This
quantization is based on the factorization over ${\Bbb R}$ of polynomials in
several real variables. We quantize the infinite-dimensional algebra of fields
generated by the polynomials by defining a deformation of this algebra which is
Abelian, associative and distributive. This procedure is then adapted to
derivatives (needed for the Nambu brackets), which ensures the validity of the
Fundamental Identity of Nambu Mechanics also at the quantum level. Our
construction is in fact more general than the particular case considered here:
it can be utilized for quite general defining identities and for much more
general star-products.
| [
{
"created": "Mon, 5 Feb 1996 08:08:32 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Mar 1996 16:19:26 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Dito",
"Giuseppe",
""
],
[
"Flato",
"Moshe",
""
],
[
"Sternheimer",
"Daniel",
""
],
[
"Takhtajan",
"Leon",
""
]
] | Starting from deformation quantization (star-products), the quantization problem of Nambu Mechanics is investigated. After considering some impossibilities and pushing some analogies with field quantization, a solution to the quantization problem is presented in the novel approach of Zariski quantization of fields (observables, functions, in this case polynomials). This quantization is based on the factorization over ${\Bbb R}$ of polynomials in several real variables. We quantize the infinite-dimensional algebra of fields generated by the polynomials by defining a deformation of this algebra which is Abelian, associative and distributive. This procedure is then adapted to derivatives (needed for the Nambu brackets), which ensures the validity of the Fundamental Identity of Nambu Mechanics also at the quantum level. Our construction is in fact more general than the particular case considered here: it can be utilized for quite general defining identities and for much more general star-products. |
2201.11694 | Davide Astesiano | D. Astesiano, D. Ruggeri, M. Trigiante and T. Van Riet | Instantons and no wormholes in $AdS_3\times S^3 \times CY_2$ | 30 pages, 1 table | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study supergravity instantons sourced by axion (and saxion) fields in the
Euclidean $AdS_3\times S^3 \times CY_2$ vacua of IIB supergravity. Such
instantons are described by geodesic curves on the moduli space; the timelike
geodesics can describe Euclidean wormholes, the lightlike geodesics describe
(generalisations of) D-instantons and spacelike geodesics are sub-extremal
versions thereof. We perform a concrete classification of such geodesics and
find that, despite earlier claims, the wormholes fail to be regular. A subclass
of the lightlike geodesics is supersymmetric and, up to dualities, lift to
Euclidean strings wrapping 2-cycles in the CY$_2$. The dual of these instantons
are expected to be worldsheet instantons of the D1-D5 CFT.
| [
{
"created": "Thu, 27 Jan 2022 17:46:10 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jun 2022 07:49:43 GMT",
"version": "v2"
}
] | 2022-06-22 | [
[
"Astesiano",
"D.",
""
],
[
"Ruggeri",
"D.",
""
],
[
"Trigiante",
"M.",
""
],
[
"Van Riet",
"T.",
""
]
] | We study supergravity instantons sourced by axion (and saxion) fields in the Euclidean $AdS_3\times S^3 \times CY_2$ vacua of IIB supergravity. Such instantons are described by geodesic curves on the moduli space; the timelike geodesics can describe Euclidean wormholes, the lightlike geodesics describe (generalisations of) D-instantons and spacelike geodesics are sub-extremal versions thereof. We perform a concrete classification of such geodesics and find that, despite earlier claims, the wormholes fail to be regular. A subclass of the lightlike geodesics is supersymmetric and, up to dualities, lift to Euclidean strings wrapping 2-cycles in the CY$_2$. The dual of these instantons are expected to be worldsheet instantons of the D1-D5 CFT. |
hep-th/0311255 | Francois Englert | F. Englert and L. Houart | G+++ Invariant Formulation of Gravity and M-Theories: Exact BPS
Solutions | Latex 45 pages, 1 figure. Discussion on pages 19 and 20 altered.
Appendix B amplified. 4 footnotes added. 2 references added. Acknowledgments
updated. Additional minor corrections | JHEP0401:002,2004 | 10.1088/1126-6708/2004/01/002 | ULB-TH/03-38 | hep-th gr-qc | null | We present a tentative formulation of theories of gravity with suitable
matter content, including in particular pure gravity in D dimensions, the
bosonic effective actions of M-theory and of the bosonic string, in terms of
actions invariant under very-extended Kac-Moody algebras G+++. We conjecture
that they host additional degrees of freedom not contained in the conventional
theories. The actions are constructed in a recursive way from a level expansion
for all very-extended algebras G+++. They constitute non-linear realisations on
cosets, a priori unrelated to space-time, obtained from a modified Chevalley
involution. Exact solutions are found for all G+++. They describe the algebraic
properties of BPS extremal branes, Kaluza-Klein waves and Kaluza-Klein
monopoles. They illustrate the generalisation to all G+++ invariant theories of
the well-known duality properties of string theories by expressing duality as
Weyl invariance in G+++. Space-time is expected to be generated dynamically. In
the level decomposition of E8+++ = E11, one may indeed select an A10
representation of generators Pa which appears to engender space-time
translations by inducing infinite towers of fields interpretable as field
derivatives in space and time.
| [
{
"created": "Wed, 26 Nov 2003 16:06:16 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Dec 2003 14:07:14 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Englert",
"F.",
""
],
[
"Houart",
"L.",
""
]
] | We present a tentative formulation of theories of gravity with suitable matter content, including in particular pure gravity in D dimensions, the bosonic effective actions of M-theory and of the bosonic string, in terms of actions invariant under very-extended Kac-Moody algebras G+++. We conjecture that they host additional degrees of freedom not contained in the conventional theories. The actions are constructed in a recursive way from a level expansion for all very-extended algebras G+++. They constitute non-linear realisations on cosets, a priori unrelated to space-time, obtained from a modified Chevalley involution. Exact solutions are found for all G+++. They describe the algebraic properties of BPS extremal branes, Kaluza-Klein waves and Kaluza-Klein monopoles. They illustrate the generalisation to all G+++ invariant theories of the well-known duality properties of string theories by expressing duality as Weyl invariance in G+++. Space-time is expected to be generated dynamically. In the level decomposition of E8+++ = E11, one may indeed select an A10 representation of generators Pa which appears to engender space-time translations by inducing infinite towers of fields interpretable as field derivatives in space and time. |
hep-th/0312050 | Wenfeng Chen Wfc | M. Chaichian and W.F. Chen | Superconformal Anomaly from AdS/CFT Correspondence | 17 pages, Contribution to " Symmetries in Gravity and Field Theory "
conference for Professor A. de Azcarraga's 60th birthday, June 2003,
Salmanca, Spain | null | null | null | hep-th | null | For a classical superconformal gauge theory in a conformal supergravity
background, its chiral R-symmetry anomaly, Weyl anomaly and super-Weyl anomaly
constitute a supermultiplet. We review how these anomalies arise from the
five-dimensional gauged supergravity in terms of the AdS/CFT correspondence at
the gravity level. The holographic production of this full superconformal
anomaly multiplet provides a support and test to the celebrated AdS/CFT
conjecture.
| [
{
"created": "Thu, 4 Dec 2003 19:52:14 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Chaichian",
"M.",
""
],
[
"Chen",
"W. F.",
""
]
] | For a classical superconformal gauge theory in a conformal supergravity background, its chiral R-symmetry anomaly, Weyl anomaly and super-Weyl anomaly constitute a supermultiplet. We review how these anomalies arise from the five-dimensional gauged supergravity in terms of the AdS/CFT correspondence at the gravity level. The holographic production of this full superconformal anomaly multiplet provides a support and test to the celebrated AdS/CFT conjecture. |
hep-th/0002250 | Niels Obers | T. Harmark (NBI, Nordita) and N.A. Obers (Nordita, NBI) | Thermodynamics of Field Theories from Spinning Branes | 8 pages, JHEP, Proceedings of TMR workshop Quantum aspects of gauge
theories, supersymmetry and unification | null | null | NBI-HE-00-11, NORDITA-2000/15 HE | hep-th | null | We discuss general spinning p-branes of string and M-theory and use their
thermodynamics along with the correspondence between near-horizon brane
solutions and field theories with 16 supercharges to describe the thermodynamic
behavior of these theories in the presence of voltages under the R-symmetry.
The thermodynamics is used to provide two pieces of evidence in favor of a
smooth interpolation function between the free energy at weak and strong
coupling of the field theory. (i) A computation of the boundaries of stability
shows that for the D2, D3, D4, M2 and M5-branes the critical values of Omega/T
in the two limits are remarkably close and (ii) The tree-level R^4 corrections
to the spinning D3-brane generate a decrease in the free energy at strong
coupling towards the weak coupling result. We also comment on the
generalization to spinning brane bound states and their thermodynamics, which
are relevant for non-commutative field theories.
| [
{
"created": "Tue, 29 Feb 2000 15:00:32 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Harmark",
"T.",
"",
"NBI, Nordita"
],
[
"Obers",
"N. A.",
"",
"Nordita, NBI"
]
] | We discuss general spinning p-branes of string and M-theory and use their thermodynamics along with the correspondence between near-horizon brane solutions and field theories with 16 supercharges to describe the thermodynamic behavior of these theories in the presence of voltages under the R-symmetry. The thermodynamics is used to provide two pieces of evidence in favor of a smooth interpolation function between the free energy at weak and strong coupling of the field theory. (i) A computation of the boundaries of stability shows that for the D2, D3, D4, M2 and M5-branes the critical values of Omega/T in the two limits are remarkably close and (ii) The tree-level R^4 corrections to the spinning D3-brane generate a decrease in the free energy at strong coupling towards the weak coupling result. We also comment on the generalization to spinning brane bound states and their thermodynamics, which are relevant for non-commutative field theories. |
1705.01810 | Luis Castro B | Luis B. Castro, Luiz P. de Oliveira, Marcelo G. Garcia, Antonio S. de
Castro | Relativistic quantum dynamics of scalar bosons under a full vector
Coulomb interaction | 8 pages, 1 table. arXiv admin note: text overlap with arXiv:1403.6035 | Eur. Phys. J. C 77 (2017) 310 | 10.1140/epjc/s10052-017-4881-y | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The relativistic quantum dynamics of scalar bosons in the background of a
full vector coupling (minimal plus nonminimal vector couplings) is explored in
the context of the Duffin-Kemmer-Petiau formalism. The Coulomb phase shift is
determined for a general mixing of couplings and it is shown that the space
component of the nonminimal coupling is a {\it sine qua non} condition for the
exact closed-form scattering amplitude. It follows that the Rutherford cross
section vanishes in the absence of the time component of the minimal coupling.
Bound-state solutions obtained from the poles of the partial scattering
amplitude show that the time component of the minimal coupling plays an
essential role. The bound-state solutions depend on the nonminimal coupling and
the spectrum consists of particles or antiparticles depending on the sign of
the time component of the minimal coupling without chance for pair production
even in the presence of strong couplings. It is also shown that an accidental
degeneracy appears for a particular mixing of couplings.
| [
{
"created": "Thu, 4 May 2017 12:22:32 GMT",
"version": "v1"
}
] | 2017-05-18 | [
[
"Castro",
"Luis B.",
""
],
[
"de Oliveira",
"Luiz P.",
""
],
[
"Garcia",
"Marcelo G.",
""
],
[
"de Castro",
"Antonio S.",
""
]
] | The relativistic quantum dynamics of scalar bosons in the background of a full vector coupling (minimal plus nonminimal vector couplings) is explored in the context of the Duffin-Kemmer-Petiau formalism. The Coulomb phase shift is determined for a general mixing of couplings and it is shown that the space component of the nonminimal coupling is a {\it sine qua non} condition for the exact closed-form scattering amplitude. It follows that the Rutherford cross section vanishes in the absence of the time component of the minimal coupling. Bound-state solutions obtained from the poles of the partial scattering amplitude show that the time component of the minimal coupling plays an essential role. The bound-state solutions depend on the nonminimal coupling and the spectrum consists of particles or antiparticles depending on the sign of the time component of the minimal coupling without chance for pair production even in the presence of strong couplings. It is also shown that an accidental degeneracy appears for a particular mixing of couplings. |
hep-th/0601059 | David A. Lowe | David A. Lowe and Larus Thorlacius | Comments on the black hole information problem | 18 pages, 2 figures, revtex, v2 figure added and some improvements to
presentation | Phys.Rev.D73:104027,2006 | 10.1103/PhysRevD.73.104027 | null | hep-th | null | String theory provides numerous examples of duality between gravitational
theories and unitary gauge theories. To resolve the black hole information
paradox in this setting, it is necessary to better understand how unitarity is
implemented on the gravity side. We argue that unitarity is restored by
nonlocal effects whose initial magnitude is suppressed by the exponential of
the Bekenstein-Hawking entropy. Time-slicings for which effective field theory
is valid are obtained by demanding the mutual back-reaction of quanta be small.
The resulting bounds imply that nonlocal effects do not lead to observable
violations of causality or conflict with the equivalence principle for
infalling observers, yet implement information retrieval for observers who stay
outside the black hole.
| [
{
"created": "Tue, 10 Jan 2006 14:59:11 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jul 2006 14:19:55 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Lowe",
"David A.",
""
],
[
"Thorlacius",
"Larus",
""
]
] | String theory provides numerous examples of duality between gravitational theories and unitary gauge theories. To resolve the black hole information paradox in this setting, it is necessary to better understand how unitarity is implemented on the gravity side. We argue that unitarity is restored by nonlocal effects whose initial magnitude is suppressed by the exponential of the Bekenstein-Hawking entropy. Time-slicings for which effective field theory is valid are obtained by demanding the mutual back-reaction of quanta be small. The resulting bounds imply that nonlocal effects do not lead to observable violations of causality or conflict with the equivalence principle for infalling observers, yet implement information retrieval for observers who stay outside the black hole. |
0705.0303 | Luis Fernando Alday | Luis F. Alday and Juan Maldacena | Gluon scattering amplitudes at strong coupling | 28 pages, harvmac, v4: minor changes | JHEP 0706:064,2007 | 10.1088/1126-6708/2007/06/064 | null | hep-th | null | We describe how to compute planar gluon scattering amplitudes at strong
coupling in N=4 super Yang Mills by using the gauge/string duality. The
computation boils down to finding a certain classical string configuration
whose boundary conditions are determined by the gluon momenta. The results are
infrared divergent. We introduce the gravity version of dimensional
regularization to define finite quantities. The leading and subleading IR
divergencies are characterized by two functions of the coupling that we compute
at strong coupling. We compute also the full finite form for the four point
amplitude and we find agreement with a recent ansatz by Bern, Dixon and
Smirnov.
| [
{
"created": "Wed, 2 May 2007 19:44:54 GMT",
"version": "v1"
},
{
"created": "Thu, 17 May 2007 22:16:42 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Jun 2007 23:25:34 GMT",
"version": "v3"
},
{
"created": "Mon, 8 Oct 2007 19:31:10 GMT",
"version": "v4"
}
] | 2009-11-13 | [
[
"Alday",
"Luis F.",
""
],
[
"Maldacena",
"Juan",
""
]
] | We describe how to compute planar gluon scattering amplitudes at strong coupling in N=4 super Yang Mills by using the gauge/string duality. The computation boils down to finding a certain classical string configuration whose boundary conditions are determined by the gluon momenta. The results are infrared divergent. We introduce the gravity version of dimensional regularization to define finite quantities. The leading and subleading IR divergencies are characterized by two functions of the coupling that we compute at strong coupling. We compute also the full finite form for the four point amplitude and we find agreement with a recent ansatz by Bern, Dixon and Smirnov. |
hep-th/0407125 | Eva Silverstein | Mohsen Alishahiha, Andreas Karch, Eva Silverstein, David Tong | The dS/dS Correspondence | 29 pages, harvmac big; 3 figures; v2: references added, minor typo
fixed | AIP Conf.Proc.743:393-409,2005 | 10.1063/1.1848341 | SLAC-PUB-10540, SU-ITP-04/29, IPM/P-2004/31,MIT-CTP-3512,
UW/PT-04-07 | hep-th | null | We present a holographic duality for the de Sitter static patch which
consolidates basic features of its geometry and the behavior of gravity and
brane probes, valid on timescales short compared to the decay or Poincare
recurrence times. Namely de Sitter spacetime $dS_d(R)$ in $d$ dimensions with
curvature radius $R$ is holographically dual to two conformal field theories on
$dS_{d-1}(R)$, cut off at an energy scale 1/R where they couple to each other
and to $d-1$ dimensional gravity. As part of our analysis, we study brane
probes in de Sitter and thermal Anti de Sitter spaces, and interpret the terms
in the corresponding DBI action via strongly coupled thermal field theory. This
provides a dual field theoretic interpretation of the fact that probes take
forever to reach a horizon in general relativity.
| [
{
"created": "Wed, 14 Jul 2004 17:24:38 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Jul 2004 15:15:07 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Alishahiha",
"Mohsen",
""
],
[
"Karch",
"Andreas",
""
],
[
"Silverstein",
"Eva",
""
],
[
"Tong",
"David",
""
]
] | We present a holographic duality for the de Sitter static patch which consolidates basic features of its geometry and the behavior of gravity and brane probes, valid on timescales short compared to the decay or Poincare recurrence times. Namely de Sitter spacetime $dS_d(R)$ in $d$ dimensions with curvature radius $R$ is holographically dual to two conformal field theories on $dS_{d-1}(R)$, cut off at an energy scale 1/R where they couple to each other and to $d-1$ dimensional gravity. As part of our analysis, we study brane probes in de Sitter and thermal Anti de Sitter spaces, and interpret the terms in the corresponding DBI action via strongly coupled thermal field theory. This provides a dual field theoretic interpretation of the fact that probes take forever to reach a horizon in general relativity. |
hep-th/9612020 | Danuta Karczewska | D. Karczewska, R. Manka | Sphaleron in the dilatonic electroweak theory | latex,psfig.sty, 15 pages, 4 PostScript Figures, after request :
dkarcz@usctoux1.cto.us.edu.pl. Sent to Journal of Physics G: Nuclear and
Particle Physics | null | null | null | hep-th | null | A numerical study of static, spherically symmetric sphaleron solutions in the
standard model coupled to the dilaton field is presented. We show that
sphaleron is surrounded by strong dilaton cloud which vanishes inside the
sphaleron.
| [
{
"created": "Mon, 2 Dec 1996 15:31:45 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Karczewska",
"D.",
""
],
[
"Manka",
"R.",
""
]
] | A numerical study of static, spherically symmetric sphaleron solutions in the standard model coupled to the dilaton field is presented. We show that sphaleron is surrounded by strong dilaton cloud which vanishes inside the sphaleron. |
1704.01819 | Musongela Lubo | Musongela Lubo, Kikunga Kasenda Ivan, Likwolo Katamba Stanislas | Factorization, SUSY Coherent States and Classical Trajectories | 22 pages 4 figures The paper has been toroughly revised. The use of
the SUSY structure is more extensively shown. The saddle point approximation
and its validity have been studied in more detail | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A generalization of coherent states has been developed in the context of
supersymmetric quan- tum mechanics. For many cases, no link has been made with
the corresponding classical system. In this work, we consider a very simple
superpotential and compare the classical and quantum trajectories. Keywords:
Coherent States, SUSYQM.
| [
{
"created": "Thu, 6 Apr 2017 13:08:33 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Jun 2018 13:58:58 GMT",
"version": "v2"
}
] | 2018-06-07 | [
[
"Lubo",
"Musongela",
""
],
[
"Ivan",
"Kikunga Kasenda",
""
],
[
"Stanislas",
"Likwolo Katamba",
""
]
] | A generalization of coherent states has been developed in the context of supersymmetric quan- tum mechanics. For many cases, no link has been made with the corresponding classical system. In this work, we consider a very simple superpotential and compare the classical and quantum trajectories. Keywords: Coherent States, SUSYQM. |
2006.13577 | M\'aria \v{S}ubjakov\'a | M\'aria \v{S}ubjakov\'a, Juraj Tekel | Multitrace matrix models of fuzzy field theories | 8 pages; Contribution to the Proceedings of the Workshop "Quantum
Geometry, Field Theory and Gravity", Corfu Summer Institute on Elementary
Particle Physics and Gravity, 31 August-25 September 2019, Corfu, Greece | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review analytical approaches to scalar field theory on fuzzy spaces. We
briefly outline the matrix description of these theories and describe various
approximations to the relevant matrix model. We discuss the challenge of
obtaining a consistent approximation that includes the higher moments of the
theory.
| [
{
"created": "Wed, 24 Jun 2020 09:34:44 GMT",
"version": "v1"
}
] | 2020-06-25 | [
[
"Šubjaková",
"Mária",
""
],
[
"Tekel",
"Juraj",
""
]
] | We review analytical approaches to scalar field theory on fuzzy spaces. We briefly outline the matrix description of these theories and describe various approximations to the relevant matrix model. We discuss the challenge of obtaining a consistent approximation that includes the higher moments of the theory. |
1707.04813 | Shinobu Hikami | S. Hikami | Conformal Bootstrap Analysis for Yang-Lee Edge Singularity | 15 page, 8 figures | Prog Theor Exp Phys (2018) | 10.1093/ptep/pty054 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Yang-Lee edge singularity is investigated by the determinant method of
the conformal field theory. The critical dimension Dc, for which the scale
dimension of scalar Delta_phi is vanishing, is discussed by this determinant
method. The result is incorporated in the Pade analysis of epsilon expansion,
which leads to an estimation of the value Delta_phi between three and six
dimensions. The structure of the minors is viewed from the fixed points.
| [
{
"created": "Sun, 16 Jul 2017 03:15:43 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Jan 2018 03:36:23 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Apr 2018 00:59:22 GMT",
"version": "v3"
}
] | 2019-12-06 | [
[
"Hikami",
"S.",
""
]
] | The Yang-Lee edge singularity is investigated by the determinant method of the conformal field theory. The critical dimension Dc, for which the scale dimension of scalar Delta_phi is vanishing, is discussed by this determinant method. The result is incorporated in the Pade analysis of epsilon expansion, which leads to an estimation of the value Delta_phi between three and six dimensions. The structure of the minors is viewed from the fixed points. |
1408.6479 | Jishnu Bhattacharyya | Jishnu Bhattacharyya and David Mattingly | Universal horizons in maximally symmetric spaces | null | null | 10.1142/S0218271814430056 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Universal horizons in Ho\v{r}ava-Lifshitz gravity and Einstein-{\ae}ther
theory are the equivalent of causal horizons in general relativity and appear
to have many of the same properties, including a first law of horizon
thermodynamics and thermal radiation. Since universal horizons are infrared
solutions of a putative power counting renormalizable quantum gravitational
theory, fully understanding their thermodynamics will shed light on the
interplay between black hole thermodynamics and quantum gravity. In this paper,
we provide a complete classification, including asymptotic charges, of all four
dimensional static and spherically symmetric universal horizon solutions with
maximally symmetric asymptotics -- the equivalents of the Schwarzschild,
Schwarzschild de Sitter or Schwarzschild anti-de Sitter spacetimes.
Additionally we derive the associated first laws for the universal horizon
solutions. Finally we prove that independent of asymptotic boundary conditions,
any spherically symmetric solution in Ho\v{r}ava-Lifshitz gravity with a
universal horizon is also a solution of Einstein-{\ae}ther theory, thereby
broadening and complementing the known equivalence region of the solution
spaces.
| [
{
"created": "Wed, 27 Aug 2014 17:50:24 GMT",
"version": "v1"
}
] | 2015-06-22 | [
[
"Bhattacharyya",
"Jishnu",
""
],
[
"Mattingly",
"David",
""
]
] | Universal horizons in Ho\v{r}ava-Lifshitz gravity and Einstein-{\ae}ther theory are the equivalent of causal horizons in general relativity and appear to have many of the same properties, including a first law of horizon thermodynamics and thermal radiation. Since universal horizons are infrared solutions of a putative power counting renormalizable quantum gravitational theory, fully understanding their thermodynamics will shed light on the interplay between black hole thermodynamics and quantum gravity. In this paper, we provide a complete classification, including asymptotic charges, of all four dimensional static and spherically symmetric universal horizon solutions with maximally symmetric asymptotics -- the equivalents of the Schwarzschild, Schwarzschild de Sitter or Schwarzschild anti-de Sitter spacetimes. Additionally we derive the associated first laws for the universal horizon solutions. Finally we prove that independent of asymptotic boundary conditions, any spherically symmetric solution in Ho\v{r}ava-Lifshitz gravity with a universal horizon is also a solution of Einstein-{\ae}ther theory, thereby broadening and complementing the known equivalence region of the solution spaces. |
1612.09331 | John R. Hiller | S.S. Chabysheva and J.R. Hiller | Light-front $\phi_2^4$ theory with sector-dependent mass | 10 pages, 4 figures; RevTeX 4.1 | Phys. Rev. D 95, 096016 (2017) | 10.1103/PhysRevD.95.096016 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | As an extension of recent work on two-dimensional light-front $\phi^4$
theory, we implement Fock-sector dependence for the bare mass. Such dependence
should have important consequences for the convergence of nonperturbative
calculations with respect to the level of Fock-space truncation. The truncation
forces the self-energy corrections to be sector-dependent; in particular, the
highest sector has no self-energy correction. Thus, the bare mass can be
considered sector dependent as well. We find that, although higher Fock sectors
have a larger probability, the mass of the lightest state and the value of the
critical coupling are not significantly affected. This implies that coherent
states or the light-front coupled-cluster method may be required to properly
represent critical behavior.
| [
{
"created": "Thu, 29 Dec 2016 22:07:43 GMT",
"version": "v1"
}
] | 2017-06-07 | [
[
"Chabysheva",
"S. S.",
""
],
[
"Hiller",
"J. R.",
""
]
] | As an extension of recent work on two-dimensional light-front $\phi^4$ theory, we implement Fock-sector dependence for the bare mass. Such dependence should have important consequences for the convergence of nonperturbative calculations with respect to the level of Fock-space truncation. The truncation forces the self-energy corrections to be sector-dependent; in particular, the highest sector has no self-energy correction. Thus, the bare mass can be considered sector dependent as well. We find that, although higher Fock sectors have a larger probability, the mass of the lightest state and the value of the critical coupling are not significantly affected. This implies that coherent states or the light-front coupled-cluster method may be required to properly represent critical behavior. |
hep-th/9702101 | Savdeep Sethi | Savdeep Sethi and Leonard Susskind | Rotational Invariance in the M(atrix) Formulation of Type IIB Theory | 7 pages, harvmac; references added | Phys.Lett.B400:265-268,1997 | 10.1016/S0370-2693(97)00359-6 | SU-ITP-97-6, IASSNS-HEP-97/9 | hep-th | null | The matrix model formulation of M-theory can be generalized by
compactification to ten-dimensional type II string theory, formulated in the
infinite momentum frame. Both the type IIA and IIB string theories can be
formulated in this way. In the M-theory and type IIA cases, the transverse
rotational invariance is manifest, but in the IIB case, one of the transverse
dimensions materializes in a completely different way from the other seven. The
full O(8) rotational symmetry then follows in a surprising way from the
electric-magnetic duality of supersymmetric Yang-Mills field theory.
| [
{
"created": "Wed, 12 Feb 1997 19:13:19 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Feb 1997 22:08:37 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Sethi",
"Savdeep",
""
],
[
"Susskind",
"Leonard",
""
]
] | The matrix model formulation of M-theory can be generalized by compactification to ten-dimensional type II string theory, formulated in the infinite momentum frame. Both the type IIA and IIB string theories can be formulated in this way. In the M-theory and type IIA cases, the transverse rotational invariance is manifest, but in the IIB case, one of the transverse dimensions materializes in a completely different way from the other seven. The full O(8) rotational symmetry then follows in a surprising way from the electric-magnetic duality of supersymmetric Yang-Mills field theory. |
1212.4274 | Daniel Becker | D. Becker and M. Reuter | Asymptotic Safety and Black Hole Thermodynamics | 3 pages. Talk given by M.R. at theThirteenth Marcel Grossmann
Meeting, Stockholm, 2012 | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present recent results on the non-perturbative renormalization group flow
of Quantum Einstein Gravity (QEG) on spacetime manifolds with boundaries. As an
application, novel quantum gravity corrections to the thermodynamics of black
holes are discussed.
| [
{
"created": "Tue, 18 Dec 2012 08:50:12 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Dec 2012 09:34:03 GMT",
"version": "v2"
}
] | 2012-12-20 | [
[
"Becker",
"D.",
""
],
[
"Reuter",
"M.",
""
]
] | We present recent results on the non-perturbative renormalization group flow of Quantum Einstein Gravity (QEG) on spacetime manifolds with boundaries. As an application, novel quantum gravity corrections to the thermodynamics of black holes are discussed. |
hep-th/9707222 | Boris Pioline | I. Antoniadis, B. Pioline and T.R. Taylor | Calculable e^{-1/\lambda} Effects | LaTex, 24 pages; typos corrected, 4 references added, D-brane
interpretation improved at end of Section 5. Final version | Nucl.Phys. B512 (1998) 61-78 | 10.1016/S0550-3213(97)00684-6 | CERN-TH/97-179, CPTH-S550.0797 | hep-th | null | We identify and evaluate a class of physical amplitudes in four-dimensional
N=4 superstring theory, which receive, in the weak coupling limit,
contributions of order e^{-1/\lambda}, where \lambda is the type II superstring
coupling constant. They correspond to four-derivative \Ftilde_1 interaction
terms involving the universal type II dilaton supermultiplet. The exact result,
obtained by means of a one-loop computation in the dual heterotic theory
compactified on T^6, is compared with the perturbation theory on the type II
side, and the e^{-1/\lambda} contributions are associated to non-perturbative
effects of Euclidean solitons (D-branes) wrapped on K3 x T^2. The
ten-dimensional decompactification limit on the type IIB side validates the
recent conjecture for the D-instanton-induced R^4 couplings.
| [
{
"created": "Fri, 25 Jul 1997 16:59:08 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Oct 1997 16:04:58 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Antoniadis",
"I.",
""
],
[
"Pioline",
"B.",
""
],
[
"Taylor",
"T. R.",
""
]
] | We identify and evaluate a class of physical amplitudes in four-dimensional N=4 superstring theory, which receive, in the weak coupling limit, contributions of order e^{-1/\lambda}, where \lambda is the type II superstring coupling constant. They correspond to four-derivative \Ftilde_1 interaction terms involving the universal type II dilaton supermultiplet. The exact result, obtained by means of a one-loop computation in the dual heterotic theory compactified on T^6, is compared with the perturbation theory on the type II side, and the e^{-1/\lambda} contributions are associated to non-perturbative effects of Euclidean solitons (D-branes) wrapped on K3 x T^2. The ten-dimensional decompactification limit on the type IIB side validates the recent conjecture for the D-instanton-induced R^4 couplings. |
2007.04841 | Fernando Tadeu Caldeira Brandt | F. T. Brandt, J. Frenkel, S. Martins-Filho and D. G. C. McKeon | Structural identities in the first order formulation of quantum gravity | 19 pages, 4 figures. Added references | Phys. Rev. D 102, 045013 (2020) | 10.1103/PhysRevD.102.045013 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the self-consistency of the first order formulation of quantum
gravity, which may be attained by introducing, apart from the graviton field,
another auxiliary quantum field. By comparing the forms of the generating
functional $Z$ before and after integrating out the additional field, we derive
a set of structural identities which must be satisfied by the Green's functions
at all orders. These are distinct from the usual Ward identities, being
necessary for the self-consistency of the first order formalism. They relate
the Green's functions involving the additional quantum field to those
containing a certain composite graviton field, which corresponds to its
classical value. Thereby, the structural identities lead to a simple
interpretation of the auxiliary field.
| [
{
"created": "Thu, 9 Jul 2020 14:42:00 GMT",
"version": "v1"
},
{
"created": "Sat, 11 Jul 2020 18:51:28 GMT",
"version": "v2"
}
] | 2020-08-26 | [
[
"Brandt",
"F. T.",
""
],
[
"Frenkel",
"J.",
""
],
[
"Martins-Filho",
"S.",
""
],
[
"McKeon",
"D. G. C.",
""
]
] | We study the self-consistency of the first order formulation of quantum gravity, which may be attained by introducing, apart from the graviton field, another auxiliary quantum field. By comparing the forms of the generating functional $Z$ before and after integrating out the additional field, we derive a set of structural identities which must be satisfied by the Green's functions at all orders. These are distinct from the usual Ward identities, being necessary for the self-consistency of the first order formalism. They relate the Green's functions involving the additional quantum field to those containing a certain composite graviton field, which corresponds to its classical value. Thereby, the structural identities lead to a simple interpretation of the auxiliary field. |
1201.1761 | Shingo Torii | Michael Kroyter, Yuji Okawa, Martin Schnabl, Shingo Torii and Barton
Zwiebach | Open superstring field theory I: gauge fixing, ghost structure, and
propagator | LaTeX2e, 34 pages, no figures; v2: typos corrected | JHEP 1203:030,2012 | 10.1007/JHEP03(2012)030 | MIT-CTP-4332; UT-Komaba/12-1; TAUP-2935-11 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The WZW form of open superstring field theory has linearized gauge
invariances associated with the BRST operator Q and the zero mode eta_0 of the
picture minus-one fermionic superconformal ghost. We discuss gauge fixing of
the free theory in a simple class of gauges using the Faddeev-Popov method. We
find that the world-sheet ghost number of ghost and antighost string fields
ranges over all integers, except one, and at any fixed ghost number, only a
finite number of picture numbers appear. We calculate the propagators in a
variety of gauges and determine the field-antifield content and the free master
action in the Batalin-Vilkovisky formalism. Unlike the case of bosonic string
field theory, the resulting master action is not simply related to the original
gauge-invariant action by relaxing the constraint on the ghost and picture
numbers.
| [
{
"created": "Mon, 9 Jan 2012 13:59:46 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Feb 2012 12:55:03 GMT",
"version": "v2"
}
] | 2012-03-19 | [
[
"Kroyter",
"Michael",
""
],
[
"Okawa",
"Yuji",
""
],
[
"Schnabl",
"Martin",
""
],
[
"Torii",
"Shingo",
""
],
[
"Zwiebach",
"Barton",
""
]
] | The WZW form of open superstring field theory has linearized gauge invariances associated with the BRST operator Q and the zero mode eta_0 of the picture minus-one fermionic superconformal ghost. We discuss gauge fixing of the free theory in a simple class of gauges using the Faddeev-Popov method. We find that the world-sheet ghost number of ghost and antighost string fields ranges over all integers, except one, and at any fixed ghost number, only a finite number of picture numbers appear. We calculate the propagators in a variety of gauges and determine the field-antifield content and the free master action in the Batalin-Vilkovisky formalism. Unlike the case of bosonic string field theory, the resulting master action is not simply related to the original gauge-invariant action by relaxing the constraint on the ghost and picture numbers. |
1806.09639 | Konstantinos Siampos | Ignatios Antoniadis, Jean-Pierre Derendinger, P. Marios Petropoulos,
Konstantinos Siampos | All partial breakings in ${\cal N}=2$ supergravity with a single
hypermultiplet | 1+36 pages, Latex, v2: JHEP version | JHEP 1808 (2018) 045 | 10.1007/JHEP08(2018)045 | CPHT-RR038.062017, CERN-TH-2017-227 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider partial supersymmetry breaking in ${\cal N}=2$ supergravity
coupled to a single vector and a single hypermultiplet. This breaking pattern
is in principle possible if the quaternion-K\"ahler space of the hypermultiplet
admits (at least) one pair of commuting isometries. For this class of
manifolds, explicit metrics exist and we analyse a generic electro-magnetic
(dyonic) gauging of the isometries. An example of partial breaking in Minkowski
spacetime has been found long ago by Ferrara, Girardello and Porrati, using the
gauging of two translation isometries on $SO(4,1)/SO(4)$. We demonstrate that
no other example of partial breaking of ${\cal N}=2$ supergravity in Minkowski
spacetime exists. We also examine partial-breaking vacua in anti-de Sitter
spacetime that are much less constrained and exist generically even for
electric gaugings. On $SO(4,1)/SO(4)$, we construct the partially-broken
solution and its global limit which is the Antoniadis-Partouche-Taylor model.
| [
{
"created": "Mon, 25 Jun 2018 18:00:11 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Aug 2018 21:41:35 GMT",
"version": "v2"
}
] | 2018-08-14 | [
[
"Antoniadis",
"Ignatios",
""
],
[
"Derendinger",
"Jean-Pierre",
""
],
[
"Petropoulos",
"P. Marios",
""
],
[
"Siampos",
"Konstantinos",
""
]
] | We consider partial supersymmetry breaking in ${\cal N}=2$ supergravity coupled to a single vector and a single hypermultiplet. This breaking pattern is in principle possible if the quaternion-K\"ahler space of the hypermultiplet admits (at least) one pair of commuting isometries. For this class of manifolds, explicit metrics exist and we analyse a generic electro-magnetic (dyonic) gauging of the isometries. An example of partial breaking in Minkowski spacetime has been found long ago by Ferrara, Girardello and Porrati, using the gauging of two translation isometries on $SO(4,1)/SO(4)$. We demonstrate that no other example of partial breaking of ${\cal N}=2$ supergravity in Minkowski spacetime exists. We also examine partial-breaking vacua in anti-de Sitter spacetime that are much less constrained and exist generically even for electric gaugings. On $SO(4,1)/SO(4)$, we construct the partially-broken solution and its global limit which is the Antoniadis-Partouche-Taylor model. |
1202.2068 | Ajay Singh | Robert C. Myers and Ajay Singh | Comments on Holographic Entanglement Entropy and RG Flows | References added | null | 10.1007/JHEP04(2012)122 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using holographic entanglement entropy for strip geometry, we construct a
candidate for a c-function in arbitrary dimensions. For holographic theories
dual to Einstein gravity, this c-function is shown to decrease monotonically
along RG flows. A sufficient condition required for this monotonic flow is that
the stress tensor of the matter fields driving the holographic RG flow must
satisfy the null energy condition over the holographic surface used to
calculate the entanglement entropy. In the case where the bulk theory is
described by Gauss-Bonnet gravity, the latter condition alone is not sufficient
to establish the monotonic flow of the c-function. We also observe that for
certain holographic RG flows, the entanglement entropy undergoes a 'phase
transition' as the size of the system grows and as a result, evolution of the
c-function may exhibit a discontinuous drop.
| [
{
"created": "Thu, 9 Feb 2012 18:11:06 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Feb 2012 00:50:50 GMT",
"version": "v2"
}
] | 2015-06-04 | [
[
"Myers",
"Robert C.",
""
],
[
"Singh",
"Ajay",
""
]
] | Using holographic entanglement entropy for strip geometry, we construct a candidate for a c-function in arbitrary dimensions. For holographic theories dual to Einstein gravity, this c-function is shown to decrease monotonically along RG flows. A sufficient condition required for this monotonic flow is that the stress tensor of the matter fields driving the holographic RG flow must satisfy the null energy condition over the holographic surface used to calculate the entanglement entropy. In the case where the bulk theory is described by Gauss-Bonnet gravity, the latter condition alone is not sufficient to establish the monotonic flow of the c-function. We also observe that for certain holographic RG flows, the entanglement entropy undergoes a 'phase transition' as the size of the system grows and as a result, evolution of the c-function may exhibit a discontinuous drop. |
2102.10002 | Khrystyna Gnatenko | Kh. P. Gnatenko, Kh. I. Stakhur, A. V. Kryzhova | Particle in uniform field in noncommutative space with preserved time
reversal and rotational symmetries | null | null | null | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantized space described by time reversal invariant and rotationally
invariant noncommutative algebra of canonical type is studied. A particle in
uniform field is considered. We find exactly the energy of a particle in
uniform field in the quantized space and its wavefunctions. It is shown that
the motion of the particle in the field direction in time reversal invariant
and rotationally invariant noncommutative space is the same as in the ordinary
space (space with the ordinary commutation relations for operators of
coordinates and operators of momenta). Noncommutativity of coordinates has
influence only on the motion of the particle in the directions perpendicular to
the field direction. Namely, space quantization has effect on the mass of the
particle.
| [
{
"created": "Fri, 19 Feb 2021 16:10:05 GMT",
"version": "v1"
}
] | 2021-02-22 | [
[
"Gnatenko",
"Kh. P.",
""
],
[
"Stakhur",
"Kh. I.",
""
],
[
"Kryzhova",
"A. V.",
""
]
] | Quantized space described by time reversal invariant and rotationally invariant noncommutative algebra of canonical type is studied. A particle in uniform field is considered. We find exactly the energy of a particle in uniform field in the quantized space and its wavefunctions. It is shown that the motion of the particle in the field direction in time reversal invariant and rotationally invariant noncommutative space is the same as in the ordinary space (space with the ordinary commutation relations for operators of coordinates and operators of momenta). Noncommutativity of coordinates has influence only on the motion of the particle in the directions perpendicular to the field direction. Namely, space quantization has effect on the mass of the particle. |
hep-th/0605082 | Bernard Lavenda | B. H. Lavenda | The thermodynamics of the Hagedorn mass spectrum | null | Nuovo Cim.B122:291-305,2007 | 10.1393/ncb/i2007-10042-3 | null | hep-th | null | No bootstrap assumption is needed to derive the exponential growth of the
Hagedorn hadron mass spectrum: It is a consequence of the second law applied to
a relativistic gas, and the relativistic equivalence between inertial mass and
its heat content. The Hagedorn temperature occurs in the limit as the number of
particles and their internal energy diverge such that their ratio remains
constant. The divergences in the $N$ particle entropy, energy, and free energy
result when this condition is imposed upon a mixture of ideal gases, one
conserving particle number and the other not. The analogy with a droplet in the
presence of vapor explains why the pressure of the droplet continues to
increase as the temperature rises finally leading to its break up when the
Hagedorn temperature is reached. The adiabatic condition relating the particle
volume to the Hagedorn temperature is asymptotic. Since it is a limiting
temperature, and not a critical one, there can be no phase transition of
whatever kind, and the original density of states used to derive such a phase
transition is not thermodynamically admissible because its partition function
does not exist.
| [
{
"created": "Mon, 8 May 2006 13:57:51 GMT",
"version": "v1"
}
] | 2011-10-25 | [
[
"Lavenda",
"B. H.",
""
]
] | No bootstrap assumption is needed to derive the exponential growth of the Hagedorn hadron mass spectrum: It is a consequence of the second law applied to a relativistic gas, and the relativistic equivalence between inertial mass and its heat content. The Hagedorn temperature occurs in the limit as the number of particles and their internal energy diverge such that their ratio remains constant. The divergences in the $N$ particle entropy, energy, and free energy result when this condition is imposed upon a mixture of ideal gases, one conserving particle number and the other not. The analogy with a droplet in the presence of vapor explains why the pressure of the droplet continues to increase as the temperature rises finally leading to its break up when the Hagedorn temperature is reached. The adiabatic condition relating the particle volume to the Hagedorn temperature is asymptotic. Since it is a limiting temperature, and not a critical one, there can be no phase transition of whatever kind, and the original density of states used to derive such a phase transition is not thermodynamically admissible because its partition function does not exist. |
1109.3632 | Maria A. Lledo | D. Cervantes, R. Fioresi, M. A. Lledo | On chiral quantum superspaces | 36 pages. To appear in proceedings of 'SuperSymmetry in Mathematics
and Physics' February 6-19 UCLA | Supersymmetry in Mathematics and Physics, Lecture Notes in
mathematics 2027, Springer (2011) 69-99 | 10.1007/978-3-642-21744-9_4 | IFIC/11-50 | hep-th math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a quantum deformation of the chiral Minkowski superspace in 4
dimensions embedded as the big cell into the chiral conformal superspace. Both
deformations are realized as quantum homogeneous superspaces: we deform the
ring of regular functions together with a coaction of the corresponding quantum
supergroup.
| [
{
"created": "Fri, 16 Sep 2011 14:35:48 GMT",
"version": "v1"
}
] | 2012-07-06 | [
[
"Cervantes",
"D.",
""
],
[
"Fioresi",
"R.",
""
],
[
"Lledo",
"M. A.",
""
]
] | We give a quantum deformation of the chiral Minkowski superspace in 4 dimensions embedded as the big cell into the chiral conformal superspace. Both deformations are realized as quantum homogeneous superspaces: we deform the ring of regular functions together with a coaction of the corresponding quantum supergroup. |
2204.07617 | Prashanth Raman | Sudip Ghosh, Prashanth Raman, Aninda Sinha | Celestial insights into the S-matrix bootstrap | version to appear in JHEP | null | 10.1007/JHEP08(2022)216 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We consider 2-2 scattering in four spacetime dimensions in Celestial
variables. Using the crossing symmetric dispersion relation (CSDR), we recast
the Celestial amplitudes in terms of crossing symmetric partial waves. These
partial waves have spurious singularities in the complex Celestial variable,
which need to be removed in local theories. The locality constraints (null
constraints) admit closed form expressions, which lead to novel bounds on
partial wave moments. These bounds allow us to quantify the degree of low spin
dominance(LSD) for scalar theories. We study a new kind of positivity that
seems to be present in a wide class of theories. We prove that this positivity
arises only in theories with a spin-0 dominance. The crossing symmetric partial
waves with spurious singularities removed, dubbed as Feynman blocks, have
remarkable properties in the Celestial variable, namely typically realness, in
the sense of Geometric Function Theory (GFT). Using GFT techniques we derive
non-projective bounds on Wilson coefficients in terms of partial wave moments.
| [
{
"created": "Fri, 15 Apr 2022 19:21:15 GMT",
"version": "v1"
},
{
"created": "Fri, 6 May 2022 08:27:20 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Jul 2022 06:40:06 GMT",
"version": "v3"
}
] | 2022-09-07 | [
[
"Ghosh",
"Sudip",
""
],
[
"Raman",
"Prashanth",
""
],
[
"Sinha",
"Aninda",
""
]
] | We consider 2-2 scattering in four spacetime dimensions in Celestial variables. Using the crossing symmetric dispersion relation (CSDR), we recast the Celestial amplitudes in terms of crossing symmetric partial waves. These partial waves have spurious singularities in the complex Celestial variable, which need to be removed in local theories. The locality constraints (null constraints) admit closed form expressions, which lead to novel bounds on partial wave moments. These bounds allow us to quantify the degree of low spin dominance(LSD) for scalar theories. We study a new kind of positivity that seems to be present in a wide class of theories. We prove that this positivity arises only in theories with a spin-0 dominance. The crossing symmetric partial waves with spurious singularities removed, dubbed as Feynman blocks, have remarkable properties in the Celestial variable, namely typically realness, in the sense of Geometric Function Theory (GFT). Using GFT techniques we derive non-projective bounds on Wilson coefficients in terms of partial wave moments. |
hep-th/0406028 | J. F. Vazquez-Poritz | H. Lu, J.F. Vazquez-Poritz and John E. Wang | De Sitter Bounces | Latex, 18 pages, 5 figures | Class.Quant.Grav. 21 (2004) 4963-4976 | 10.1088/0264-9381/21/21/014 | null | hep-th | null | By analytically continuing recently-found instantons, we construct
time-dependent solutions of Einstein-Maxwell de Sitter gravity which smoothly
bounce between two de Sitter phases. These deformations of de Sitter space
undergo several stages in their time evolution. Four and five-dimensional de
Sitter bounces can be lifted to non-singular time-dependent solutions of
M-theory.
| [
{
"created": "Thu, 3 Jun 2004 19:48:32 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Lu",
"H.",
""
],
[
"Vazquez-Poritz",
"J. F.",
""
],
[
"Wang",
"John E.",
""
]
] | By analytically continuing recently-found instantons, we construct time-dependent solutions of Einstein-Maxwell de Sitter gravity which smoothly bounce between two de Sitter phases. These deformations of de Sitter space undergo several stages in their time evolution. Four and five-dimensional de Sitter bounces can be lifted to non-singular time-dependent solutions of M-theory. |
0811.3679 | Soumitra SenGupta | Tanwi Ghosh, Soumitra SenGupta | Thermodynamics Of dilaton-axion black holes | 7 Pages, Revtex, To appear in Phys.Rev.D | Phys.Rev.D78:124005,2008 | 10.1103/PhysRevD.78.124005 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Considering a generalised action for Einstein Maxwell theory in four
dimensions coupled to scalar and pseudo-scalar fields, the thermodynamic
properties of asymptotically flat black holes solutions in such a background
are investigated. Bekenstein-Hawking area-entropy law is verified for these
class of black holes. From the property of specific heat, it is shown that such
black holes can be stable for certain choice of the parameters like charge,
mass and the scalar vacuum expectation value. The possibility of a black hole
phase transition is discussed in this context.
| [
{
"created": "Sat, 22 Nov 2008 11:54:37 GMT",
"version": "v1"
}
] | 2008-12-30 | [
[
"Ghosh",
"Tanwi",
""
],
[
"SenGupta",
"Soumitra",
""
]
] | Considering a generalised action for Einstein Maxwell theory in four dimensions coupled to scalar and pseudo-scalar fields, the thermodynamic properties of asymptotically flat black holes solutions in such a background are investigated. Bekenstein-Hawking area-entropy law is verified for these class of black holes. From the property of specific heat, it is shown that such black holes can be stable for certain choice of the parameters like charge, mass and the scalar vacuum expectation value. The possibility of a black hole phase transition is discussed in this context. |
hep-th/9809115 | Janos Polonyi | Janos Polonyi | Path Integral for the Dirac Equation | 4 pages, uses sprocl.sty, talk delivered at the the conference
"Path-integrals from peV to TeV", Florence, August, 1998 | Phys.Lett. B453 (1999) 40-45 | 10.1016/S0370-2693(99)00312-3 | null | hep-th quant-ph | null | A path integral representation is given for the solutions of the 3+1
dimensional Dirac equation. The regularity of the trajectories, the
non-relativistic limit and the semiclassical approximation are briefly
mentioned.
| [
{
"created": "Wed, 16 Sep 1998 09:02:03 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Polonyi",
"Janos",
""
]
] | A path integral representation is given for the solutions of the 3+1 dimensional Dirac equation. The regularity of the trajectories, the non-relativistic limit and the semiclassical approximation are briefly mentioned. |
1407.1745 | Dionisio Bazeia | D. Bazeia, A. S. Lob\~ao Jr., R. Menezes | First-order framework for flat brane with auxiliary fields | 4 pages, 4 figures; new version: fig. 2 changed, text and references
added; to appear in PRD | Phys. Rev. D 90, 067702 (2014) | 10.1103/PhysRevD.90.067702 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This work deals with braneworld models in the presence of auxiliary fields.
We investigate the case where Einstein's equation is modified with the
inclusion of extra, non-dynamical terms. We show that the model supports
first-order differential equations that solve the equations of motion, but the
standard braneworld scenario changes under the presence of the parameter that
controls the non-dynamical or auxiliary fields that modifies Einstein's
equation.
| [
{
"created": "Mon, 7 Jul 2014 15:37:35 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Jul 2014 19:18:13 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Sep 2014 20:40:57 GMT",
"version": "v3"
}
] | 2014-10-08 | [
[
"Bazeia",
"D.",
""
],
[
"Lobão",
"A. S.",
"Jr."
],
[
"Menezes",
"R.",
""
]
] | This work deals with braneworld models in the presence of auxiliary fields. We investigate the case where Einstein's equation is modified with the inclusion of extra, non-dynamical terms. We show that the model supports first-order differential equations that solve the equations of motion, but the standard braneworld scenario changes under the presence of the parameter that controls the non-dynamical or auxiliary fields that modifies Einstein's equation. |
1404.5864 | Luis Fernando Alday | Luis F. Alday and Agnese Bissi | Generalized bootstrap equations for N=4 SCFT | 18 pages, 3 figures | null | 10.1007/JHEP02(2015)101 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the consistency of four-point functions of half-BPS chiral primary
operators of weight p in four-dimensional N=4 superconformal field theories.
The resulting conformal bootstrap equations impose non-trivial bounds for the
scaling dimension of unprotected local operators transforming in various
representations of the R-symmetry group. These bounds generalize recent bounds
for operators in the singlet representation, arising from consistency of the
four-point function of the stress-energy tensor multiplet.
| [
{
"created": "Wed, 23 Apr 2014 15:28:34 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Alday",
"Luis F.",
""
],
[
"Bissi",
"Agnese",
""
]
] | We study the consistency of four-point functions of half-BPS chiral primary operators of weight p in four-dimensional N=4 superconformal field theories. The resulting conformal bootstrap equations impose non-trivial bounds for the scaling dimension of unprotected local operators transforming in various representations of the R-symmetry group. These bounds generalize recent bounds for operators in the singlet representation, arising from consistency of the four-point function of the stress-energy tensor multiplet. |
2401.03313 | Fillipe Guedes | Fillipe M. Guedes, Marcelo S. Guimaraes, Itzhak Roditi, Silvio P.
Sorella | Unruh-De Witt detectors, Bell-CHSH inequality and Tomita-Takesaki theory | 8 pages, 3 figures. Final version, to appear in JHEP | J. High Energ. Phys. 2024, 31 (2024) | 10.1007/JHEP06(2024)031 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The interaction between Unruh-De Witt spin $1/2$ detectors and a real scalar
field is scrutinized by making use of the Tomita-Takesaki modular theory as
applied to the Von Neumann algebra of the Weyl operators. The use of the
modular theory enables to evaluate in an exact way the trace over the quantum
field degrees of freedom. The resulting density matrix is employed to the study
of the Bell-CHSH correlator. It turns out that, as a consequence of the
interaction with the quantum field, the violation of the Bell-CHSH inequality
exhibits a decreasing as compared to the case in which the scalar field is
absent.
| [
{
"created": "Sat, 6 Jan 2024 22:01:33 GMT",
"version": "v1"
},
{
"created": "Mon, 13 May 2024 16:47:17 GMT",
"version": "v2"
}
] | 2024-06-10 | [
[
"Guedes",
"Fillipe M.",
""
],
[
"Guimaraes",
"Marcelo S.",
""
],
[
"Roditi",
"Itzhak",
""
],
[
"Sorella",
"Silvio P.",
""
]
] | The interaction between Unruh-De Witt spin $1/2$ detectors and a real scalar field is scrutinized by making use of the Tomita-Takesaki modular theory as applied to the Von Neumann algebra of the Weyl operators. The use of the modular theory enables to evaluate in an exact way the trace over the quantum field degrees of freedom. The resulting density matrix is employed to the study of the Bell-CHSH correlator. It turns out that, as a consequence of the interaction with the quantum field, the violation of the Bell-CHSH inequality exhibits a decreasing as compared to the case in which the scalar field is absent. |
1008.4778 | Kimball A. Milton | E. K. Abalo, K. A. Milton, and L. Kaplan | Casimir Energies of Cylinders: Universal Function | 29 pages, 9 figures | Phys.Rev.D82:125007,2010 | 10.1103/PhysRevD.82.125007 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | New exact results are given for the interior Casimir energies of infinitely
long waveguides of triangular cross section (equilateral, hemiequilateral, and
isosceles right triangles). Results for cylinders of rectangular cross section
are rederived. In particular, results are obtained for interior modes belonging
to Dirichlet and Neumann boundary conditions (TM and TE modes). These results
are expressed in rapidly convergent series using the Chowla-Selberg formula,
and in fact may be given in closed form, except for general rectangles. The
energies are finite because only the first three heat-kernel coefficients can
be nonzero for the case of polygonal boundaries. What appears to be a universal
behavior of the Casimir energy as a function of the shape of the regular or
quasi-regular cross-sectional figure is presented. Furthermore, numerical
calculations for arbitrary right triangular cross sections suggest that the
universal behavior may be extended to waveguides of general polygonal cross
sections. The new exact and numerical results are compared with the proximity
force approximation (PFA).
| [
{
"created": "Fri, 27 Aug 2010 18:47:16 GMT",
"version": "v1"
}
] | 2010-12-24 | [
[
"Abalo",
"E. K.",
""
],
[
"Milton",
"K. A.",
""
],
[
"Kaplan",
"L.",
""
]
] | New exact results are given for the interior Casimir energies of infinitely long waveguides of triangular cross section (equilateral, hemiequilateral, and isosceles right triangles). Results for cylinders of rectangular cross section are rederived. In particular, results are obtained for interior modes belonging to Dirichlet and Neumann boundary conditions (TM and TE modes). These results are expressed in rapidly convergent series using the Chowla-Selberg formula, and in fact may be given in closed form, except for general rectangles. The energies are finite because only the first three heat-kernel coefficients can be nonzero for the case of polygonal boundaries. What appears to be a universal behavior of the Casimir energy as a function of the shape of the regular or quasi-regular cross-sectional figure is presented. Furthermore, numerical calculations for arbitrary right triangular cross sections suggest that the universal behavior may be extended to waveguides of general polygonal cross sections. The new exact and numerical results are compared with the proximity force approximation (PFA). |
hep-th/9903193 | Yutaka Hosotani | Yutaka Hosotani and Ryuichi Nakayama | The Hamilton-Jacobi Equations for Strings and p-Branes | 7 pages | Mod.Phys.Lett. A14 (1999) 1983 | 10.1142/S0217732399002042 | UMN-TH-1744/99, EPHOU-99-003 | hep-th | null | Simple derivation of the Hamilton-Jacobi equation for bosonic strings and
p-branes is given. The motion of classical strings and p-branes is described by
two and p+1 local fields, respectively. A variety of local field equations
which reduce to the Hamilton-Jacobi equation in the classical limit are given.
They are essentially nonlinear, having no linear term.
| [
{
"created": "Mon, 22 Mar 1999 21:25:23 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Hosotani",
"Yutaka",
""
],
[
"Nakayama",
"Ryuichi",
""
]
] | Simple derivation of the Hamilton-Jacobi equation for bosonic strings and p-branes is given. The motion of classical strings and p-branes is described by two and p+1 local fields, respectively. A variety of local field equations which reduce to the Hamilton-Jacobi equation in the classical limit are given. They are essentially nonlinear, having no linear term. |
hep-th/9602153 | null | Ramzi R. Khuri | Strings from Membranes and Fivebranes | 12 pages, harvmac | Fortsch.Phys.44:565-572,1996 | 10.1002/prop.2190440609 | CERN-TH/96-58, McGill/96-06 | hep-th | null | Under the six-dimensional heterotic/type $IIA$ duality map, a solitonic
membrane solution of heterotic string theory transforms into a singular
solution of type $IIA$ theory, and should therefore be interpreted as a
fundamental membrane in the latter theory. This finding pointed to a gap in the
formulation of string theory that was subsequently filled by the discovery of
the role of $D$-branes as the carriers of Ramond-Ramond charge in type $II$
string theory. The roles of compactified eleven-dimensional membranes and
fivebranes in five-dimensional string theory are also discussed.
| [
{
"created": "Tue, 27 Feb 1996 15:36:54 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Khuri",
"Ramzi R.",
""
]
] | Under the six-dimensional heterotic/type $IIA$ duality map, a solitonic membrane solution of heterotic string theory transforms into a singular solution of type $IIA$ theory, and should therefore be interpreted as a fundamental membrane in the latter theory. This finding pointed to a gap in the formulation of string theory that was subsequently filled by the discovery of the role of $D$-branes as the carriers of Ramond-Ramond charge in type $II$ string theory. The roles of compactified eleven-dimensional membranes and fivebranes in five-dimensional string theory are also discussed. |
1002.3063 | Costas Kounnas Dr | Costas Kounnas | Introduction to Superstring Cosmology | Summary of lectures in superstring cosmology given by the author at
the CORFU 2009 School and Workshops "Theory - Cosmology - Phenomenology". 6
pages | null | 10.1002/prop.201000035 | LPTENS-10/07 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is a summary of lectures in superstring cosmology given by the author at
the CORFU 2009 School and Workshops "Theory - Cosmology - Phenomenology", Corfu
Institute, Greece, Sept 6-13, 2009. These lectures are based on some recent
developments and ideas, in the framework of superstring theory, concerning the
evolution and structure of the universe in (i) the very early "non-geometric"'
cosmological era, (ii) the intermediate "radiation-like" era and (iii) the late
time cosmological era characterized by the electroweak phase transition.
| [
{
"created": "Tue, 16 Feb 2010 11:52:37 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Apr 2011 14:51:00 GMT",
"version": "v2"
}
] | 2015-05-18 | [
[
"Kounnas",
"Costas",
""
]
] | This is a summary of lectures in superstring cosmology given by the author at the CORFU 2009 School and Workshops "Theory - Cosmology - Phenomenology", Corfu Institute, Greece, Sept 6-13, 2009. These lectures are based on some recent developments and ideas, in the framework of superstring theory, concerning the evolution and structure of the universe in (i) the very early "non-geometric"' cosmological era, (ii) the intermediate "radiation-like" era and (iii) the late time cosmological era characterized by the electroweak phase transition. |
1111.2115 | Slava Rychkov | Slava Rychkov | Conformal Bootstrap in Three Dimensions? | 16 pages, 5 figures | null | null | LPTENS-11/44 | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss an idea of how 3D critical exponents can be determined by
Conformal Field Theory techniques.
| [
{
"created": "Wed, 9 Nov 2011 06:59:58 GMT",
"version": "v1"
}
] | 2011-11-10 | [
[
"Rychkov",
"Slava",
""
]
] | We discuss an idea of how 3D critical exponents can be determined by Conformal Field Theory techniques. |
2306.15413 | Konstantin Stepanyantz | Mikhail Kuzmichev, Konstantin Stepanyantz | A condition for the reduction of couplings in the $P = \frac{1}{3}Q$
supersymmetric theories | 11 pages, 1 figure | null | 10.1016/j.physletb.2023.138094 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate that in the $P=\frac{1}{3}Q$ supersymmetric theories the
renormalization group invariance of the ratio $\lambda^{ijk}/e$ (of the Yukawa
couplings to the gauge coupling) is equivalent to a simple relation between the
anomalous dimensions of the quantum gauge superfield, of the Faddeev--Popov
ghosts, and of the matter superfields, which should be valid in each order of
the perturbation theory. In the one- and two-loop approximations it is verified
explicitly. Presumably, in higher orders this relation can be satisfied for the
planar supergraphs under a certain renormalization prescription. Assuming that
it is valid we rewrite the exact equation for the (corresponding contribution
to the) anomalous dimension of the matter superfields in the theories under
consideration in a different (but equivalent) form.
| [
{
"created": "Tue, 27 Jun 2023 12:18:07 GMT",
"version": "v1"
}
] | 2023-08-16 | [
[
"Kuzmichev",
"Mikhail",
""
],
[
"Stepanyantz",
"Konstantin",
""
]
] | We demonstrate that in the $P=\frac{1}{3}Q$ supersymmetric theories the renormalization group invariance of the ratio $\lambda^{ijk}/e$ (of the Yukawa couplings to the gauge coupling) is equivalent to a simple relation between the anomalous dimensions of the quantum gauge superfield, of the Faddeev--Popov ghosts, and of the matter superfields, which should be valid in each order of the perturbation theory. In the one- and two-loop approximations it is verified explicitly. Presumably, in higher orders this relation can be satisfied for the planar supergraphs under a certain renormalization prescription. Assuming that it is valid we rewrite the exact equation for the (corresponding contribution to the) anomalous dimension of the matter superfields in the theories under consideration in a different (but equivalent) form. |
hep-th/0404129 | Andreas Bette | Andreas Bette, Jesus Buitrago | Relativistic Spinor Dynamics Inducing the Extended Lorentz-Force-Like
Equation | 15 pages | null | 10.1063/1.1923328 | null | hep-th | null | The special relativistic dynamical equation of the Lorentz force type can be
regarded as a consequence of a succession of space-time dependent infinitesimal
Lorentz transformations as shown by one of us \cite{buitrago} and discussed in
the introduction below. Such an insight indicates that the Lorentz-force-like
equation has an extremely fundamental meaning in physics. In this paper we
therefore present a set of dynamical Weyl spinor equations {\em inducing} the
extended Lorentz-force-like equation in the Minowski space-time. The term
extended refers to the dynamics of some additional degrees of freedom that may
be associated with the classical spin namely with the dynamics of three
space-like mutually orthogonal four-vectors, all of them orthogonal to the
linear four-momentum of the object under consideration.
| [
{
"created": "Mon, 19 Apr 2004 14:02:03 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Bette",
"Andreas",
""
],
[
"Buitrago",
"Jesus",
""
]
] | The special relativistic dynamical equation of the Lorentz force type can be regarded as a consequence of a succession of space-time dependent infinitesimal Lorentz transformations as shown by one of us \cite{buitrago} and discussed in the introduction below. Such an insight indicates that the Lorentz-force-like equation has an extremely fundamental meaning in physics. In this paper we therefore present a set of dynamical Weyl spinor equations {\em inducing} the extended Lorentz-force-like equation in the Minowski space-time. The term extended refers to the dynamics of some additional degrees of freedom that may be associated with the classical spin namely with the dynamics of three space-like mutually orthogonal four-vectors, all of them orthogonal to the linear four-momentum of the object under consideration. |
0708.0326 | Oren Bergman Dr. | Oren Bergman, Gilad Lifschytz, Matthew Lippert | Holographic Nuclear Physics | 27 pages, 26 figures. v2: Added a comment about higher derivative
corrections to the DBI action in the smeared instanton in section 2.1. v3:
References added, version published in JHEP. v4: misprints corrected | JHEP0711:056,2007 | 10.1088/1126-6708/2007/11/056 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the phases of the Sakai-Sugimoto model at finite temperature and
baryon chemical potential. Baryonic matter is represented either by 4-branes in
the 8-branes or by strings stretched from the 8-branes to the horizon. We find
the explicit configurations and use them to determine the phase diagram and
equation of state of the model. The 4-brane configuration (nuclear matter) is
always preferred to the string configuration (quark matter), and the latter is
also unstable to density fluctuations. In the deconfined phase the phase
diagram has three regions corresponding to the vacuum, quark-gluon plasma, and
nuclear matter, with a first-order and a second-order phase transition
separating the phases. We find that for a large baryon number density, and at
low temperatures, the dominant phase has broken chiral symmetry. This is in
qualitative agreement with studies of QCD at high density.
| [
{
"created": "Thu, 2 Aug 2007 12:00:05 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Oct 2007 14:52:35 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Nov 2007 20:47:48 GMT",
"version": "v3"
},
{
"created": "Wed, 4 Mar 2009 13:51:04 GMT",
"version": "v4"
}
] | 2009-03-04 | [
[
"Bergman",
"Oren",
""
],
[
"Lifschytz",
"Gilad",
""
],
[
"Lippert",
"Matthew",
""
]
] | We analyze the phases of the Sakai-Sugimoto model at finite temperature and baryon chemical potential. Baryonic matter is represented either by 4-branes in the 8-branes or by strings stretched from the 8-branes to the horizon. We find the explicit configurations and use them to determine the phase diagram and equation of state of the model. The 4-brane configuration (nuclear matter) is always preferred to the string configuration (quark matter), and the latter is also unstable to density fluctuations. In the deconfined phase the phase diagram has three regions corresponding to the vacuum, quark-gluon plasma, and nuclear matter, with a first-order and a second-order phase transition separating the phases. We find that for a large baryon number density, and at low temperatures, the dominant phase has broken chiral symmetry. This is in qualitative agreement with studies of QCD at high density. |
hep-th/9708136 | Antonio Edson Goncalves | A.A. Bytsenko, A.E. Goncalves and S.D. Odintsov | Brane-Black Hole Correspondence and Asymptotics of Quantum Spectrum | 10 pages, LaTeX | JETP Lett.66:11-17,1997 | 10.1134/1.567474 | null | hep-th gr-qc | null | We discuss the asymptotic properties of quantum states density for
fundamental (super) membrane in the semiclassical approach. The matching of BPS
part of spectrum for superstring and supermembrane gives the possibility to get
stringy results via membrane calculations and vice versa. The brane-black hole
correspondence (on the level of black hole states and brane microstates) is
also studied.
| [
{
"created": "Tue, 26 Aug 1997 01:02:16 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Bytsenko",
"A. A.",
""
],
[
"Goncalves",
"A. E.",
""
],
[
"Odintsov",
"S. D.",
""
]
] | We discuss the asymptotic properties of quantum states density for fundamental (super) membrane in the semiclassical approach. The matching of BPS part of spectrum for superstring and supermembrane gives the possibility to get stringy results via membrane calculations and vice versa. The brane-black hole correspondence (on the level of black hole states and brane microstates) is also studied. |
2112.06588 | Eugenia Boffo | Eugenia Boffo | Dual dilaton with $\mathcal{R}$ and $\mathcal{Q}$ fluxes | Contribution to the proceedings of the XIV International Workshop
"Lie Theory and its Applications in Physics", 20-25 June 2021, Sofia,
Bulgaria. 8 pages | null | null | null | hep-th | http://creativecommons.org/licenses/by-sa/4.0/ | In previous works we showed that a Courant algebroid in a particular frame
and the differential geometry of the sum bundle $TM \oplus T^*M$ provide a very
natural geometric setting for a sector of the low energy effective limit of
type II superstring theories (Supergravity theory). Given our geometric and
algebraic considerations, we reproduced the NS-NS sector of the closed bosonic
effective type II sting action, and an action for the inverse metric $G^{-1}$
and the bivector $\Pi$, related to the tensors for closed strings as
$(g+B)^{-1} = (G^{-1} +\Pi)$. The action depended on the stringy T-dual fluxes
$\mathcal{R}$ and $\mathcal{Q}$, but the dual dilaton was missing. This short
paper fills the gap.
| [
{
"created": "Mon, 13 Dec 2021 12:08:31 GMT",
"version": "v1"
}
] | 2021-12-14 | [
[
"Boffo",
"Eugenia",
""
]
] | In previous works we showed that a Courant algebroid in a particular frame and the differential geometry of the sum bundle $TM \oplus T^*M$ provide a very natural geometric setting for a sector of the low energy effective limit of type II superstring theories (Supergravity theory). Given our geometric and algebraic considerations, we reproduced the NS-NS sector of the closed bosonic effective type II sting action, and an action for the inverse metric $G^{-1}$ and the bivector $\Pi$, related to the tensors for closed strings as $(g+B)^{-1} = (G^{-1} +\Pi)$. The action depended on the stringy T-dual fluxes $\mathcal{R}$ and $\mathcal{Q}$, but the dual dilaton was missing. This short paper fills the gap. |
hep-th/0607010 | Xi Yin | Davide Gaiotto, Andrew Strominger, Xi Yin | The M5-Brane Elliptic Genus: Modularity and BPS States | 21 pages | JHEP 0708:070,2007 | 10.1088/1126-6708/2007/08/070 | null | hep-th | null | The modified elliptic genus for an M5-brane wrapped on a four-cycle of a
Calabi-Yau threefold encodes the degeneracies of an infinite set of BPS states
in four dimensions. By holomorphy and modular invariance, it can be determined
completely from the knowledge of a finite set of such BPS states. We show the
feasibility of such a computation and determine the exact modified elliptic
genus for an M5-brane wrapping a hyperplane section of the quintic threefold.
| [
{
"created": "Sun, 2 Jul 2006 06:40:31 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Gaiotto",
"Davide",
""
],
[
"Strominger",
"Andrew",
""
],
[
"Yin",
"Xi",
""
]
] | The modified elliptic genus for an M5-brane wrapped on a four-cycle of a Calabi-Yau threefold encodes the degeneracies of an infinite set of BPS states in four dimensions. By holomorphy and modular invariance, it can be determined completely from the knowledge of a finite set of such BPS states. We show the feasibility of such a computation and determine the exact modified elliptic genus for an M5-brane wrapping a hyperplane section of the quintic threefold. |
hep-th/0703195 | Liu Zhao | Liu Zhao, Kai Niu, Bing-Shu Xia, Yi-Ling Dou, Jie Ren | Non-uniform Black Strings with Schwarzschild-(Anti-)de Sitter Foliation | LaTeX 14 pages, 3 eps figures. V2: version appeared in CQG | Class.Quant.Grav.24:4587-4600,2007 | 10.1088/0264-9381/24/18/002 | null | hep-th | null | We present some exact non-uniform black string solutions of 5-dimensional
pure Einstein gravity as well as Einstein-Maxwell-dilaton theory at arbitrary
dilaton coupling. The solutions share the common property that their
4-dimensional slices are Schwarzchild-(anti-)de Sitter spacetimes. The pure
gravity solution is also generalized to spacetimes of dimensions higher than 5
to get non-uniform black branes.
| [
{
"created": "Thu, 22 Mar 2007 07:52:42 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Aug 2007 06:45:41 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Zhao",
"Liu",
""
],
[
"Niu",
"Kai",
""
],
[
"Xia",
"Bing-Shu",
""
],
[
"Dou",
"Yi-Ling",
""
],
[
"Ren",
"Jie",
""
]
] | We present some exact non-uniform black string solutions of 5-dimensional pure Einstein gravity as well as Einstein-Maxwell-dilaton theory at arbitrary dilaton coupling. The solutions share the common property that their 4-dimensional slices are Schwarzchild-(anti-)de Sitter spacetimes. The pure gravity solution is also generalized to spacetimes of dimensions higher than 5 to get non-uniform black branes. |
2310.13736 | Shoy Ouseph | Shoy Ouseph, Keiichiro Furuya, Nima Lashkari, Kwing Lam Leung,
Mudassir Moosa | Local Poincar\'e Algebra from Quantum Chaos | 67 pages, 13 figures | JHEP 01 (2024) 112 | 10.1007/JHEP01(2024)112 | null | hep-th gr-qc math-ph math.MP nlin.CD | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The local two-dimensional Poincar\'e algebra near the horizon of an eternal
AdS black hole, or in proximity to any bifurcate Killing horizon, is generated
by the Killing flow and outward null translations on the horizon. In
holography, this local Poincar\'e algebra is reflected as a pair of unitary
flows in the boundary Hilbert space whose generators under modular flow grow
and decay exponentially with a maximal Lyapunov exponent. This is a universal
feature of many geometric vacua of quantum gravity. To explain this
universality, we show that a two-dimensional Poincar\'e algebra emerges in any
quantum system that has von Neumann subalgebras associated with half-infinite
modular time intervals (modular future and past subalgebras) in a limit
analogous to the near-horizon limit. In ergodic theory, quantum dynamical
systems with future or past algebras are called quantum K-systems. The
surprising statement is that modular K-systems are always maximally chaotic.
Interacting quantum systems in the thermodynamic limit and large $N$ theories
above the Hawking-Page phase transition are examples of physical theories with
future/past subalgebras. We prove that the existence of (modular) future/past
von Neumann subalgebras also implies a second law of (modular) thermodynamics
and the exponential decay of (modular) correlators. We generalize our results
from the modular flow to any dynamical flow with a positive generator and
interpret the positivity condition as quantum detailed balance.
| [
{
"created": "Fri, 20 Oct 2023 18:00:01 GMT",
"version": "v1"
},
{
"created": "Sat, 11 Nov 2023 03:43:20 GMT",
"version": "v2"
}
] | 2024-01-23 | [
[
"Ouseph",
"Shoy",
""
],
[
"Furuya",
"Keiichiro",
""
],
[
"Lashkari",
"Nima",
""
],
[
"Leung",
"Kwing Lam",
""
],
[
"Moosa",
"Mudassir",
""
]
] | The local two-dimensional Poincar\'e algebra near the horizon of an eternal AdS black hole, or in proximity to any bifurcate Killing horizon, is generated by the Killing flow and outward null translations on the horizon. In holography, this local Poincar\'e algebra is reflected as a pair of unitary flows in the boundary Hilbert space whose generators under modular flow grow and decay exponentially with a maximal Lyapunov exponent. This is a universal feature of many geometric vacua of quantum gravity. To explain this universality, we show that a two-dimensional Poincar\'e algebra emerges in any quantum system that has von Neumann subalgebras associated with half-infinite modular time intervals (modular future and past subalgebras) in a limit analogous to the near-horizon limit. In ergodic theory, quantum dynamical systems with future or past algebras are called quantum K-systems. The surprising statement is that modular K-systems are always maximally chaotic. Interacting quantum systems in the thermodynamic limit and large $N$ theories above the Hawking-Page phase transition are examples of physical theories with future/past subalgebras. We prove that the existence of (modular) future/past von Neumann subalgebras also implies a second law of (modular) thermodynamics and the exponential decay of (modular) correlators. We generalize our results from the modular flow to any dynamical flow with a positive generator and interpret the positivity condition as quantum detailed balance. |
1006.3054 | Philippe Brax | Philippe Brax and Robi Peschanski | Gauge/Cosmology Brane-to-Brane Duality | 21 pages, 1 figure | Acta Phys.Polon.B41:2645-2667,2010 | null | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a duality relation between two distinct branes, a cosmological
brane with macroscopic matter and a holographic brane with microscopic gauge
fields. Using brane-world cosmology with a single brane in a 5-dimensional AdS5
background, we find an explicit time-dependent holographic correspondence
between the bulk metric surrounding the cosmological brane and the N=4 gauge
field theory living on the boundary of the Z2-symmetric mirror bulk, identified
with the holographic brane. We then relate the cosmic acceleration on the
cosmological brane to the conformal anomaly of the gauge theory on the
holographic brane. This leads to a dual microscopic interpretation of the
number of e-foldings of the cosmological eras on the cosmological brane.
| [
{
"created": "Tue, 15 Jun 2010 19:11:36 GMT",
"version": "v1"
}
] | 2011-03-02 | [
[
"Brax",
"Philippe",
""
],
[
"Peschanski",
"Robi",
""
]
] | We introduce a duality relation between two distinct branes, a cosmological brane with macroscopic matter and a holographic brane with microscopic gauge fields. Using brane-world cosmology with a single brane in a 5-dimensional AdS5 background, we find an explicit time-dependent holographic correspondence between the bulk metric surrounding the cosmological brane and the N=4 gauge field theory living on the boundary of the Z2-symmetric mirror bulk, identified with the holographic brane. We then relate the cosmic acceleration on the cosmological brane to the conformal anomaly of the gauge theory on the holographic brane. This leads to a dual microscopic interpretation of the number of e-foldings of the cosmological eras on the cosmological brane. |
hep-th/0203105 | Philippe Ruelle | Philippe Ruelle | A c=-2 boundary changing operator for the Abelian sandpile | 5 pages, 1 figure, revtex4; comments added and Eq.(11) corrected,
published version | Phys.Lett. B539 (2002) 172-177 | 10.1016/S0370-2693(02)02069-5 | null | hep-th cond-mat | null | We consider the unoriented two-dimensional Abelian sandpile model on the
half-plane with open and closed boundary conditions. We show that the operator
effecting the change from closed to open, or from open to closed, is a boundary
primary field of weight -1/8, belonging to a c=-2 logarithmic conformal field
theory.
| [
{
"created": "Tue, 12 Mar 2002 15:36:27 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Oct 2002 09:03:51 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Ruelle",
"Philippe",
""
]
] | We consider the unoriented two-dimensional Abelian sandpile model on the half-plane with open and closed boundary conditions. We show that the operator effecting the change from closed to open, or from open to closed, is a boundary primary field of weight -1/8, belonging to a c=-2 logarithmic conformal field theory. |
hep-th/9702045 | Marika M. Taylor-Robinson | S. W. Hawking and M. M. Taylor-Robinson (DAMTP, University of
Cambridge) | Evolution of near extremal black holes | 25 pages, RevTeX | Phys.Rev.D55:7680-7692,1997 | 10.1103/PhysRevD.55.7680 | null | hep-th | null | Near extreme black holes can lose their charge and decay by the emission of
massive BPS charged particles. We calculate the greybody factors for low energy
charged and neutral scalar emission from four and five dimensional near
extremal Reissner-Nordstrom black holes. We use the corresponding emission
rates to obtain ratios of the rates of loss of excess energy by charged and
neutral emission, which are moduli independent, depending only on the integral
charges and the horizon potentials. We consider scattering experiments, finding
that evolution towards a state in which the integral charges are equal is
favoured, but neutral emission will dominate the decay back to extremality
except when one charge is much greater than the others. The implications of our
results for the agreement between black hole and D-brane emission rates and for
the information loss puzzle are then discussed.
| [
{
"created": "Wed, 5 Feb 1997 17:56:59 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Hawking",
"S. W.",
"",
"DAMTP, University of\n Cambridge"
],
[
"Taylor-Robinson",
"M. M.",
"",
"DAMTP, University of\n Cambridge"
]
] | Near extreme black holes can lose their charge and decay by the emission of massive BPS charged particles. We calculate the greybody factors for low energy charged and neutral scalar emission from four and five dimensional near extremal Reissner-Nordstrom black holes. We use the corresponding emission rates to obtain ratios of the rates of loss of excess energy by charged and neutral emission, which are moduli independent, depending only on the integral charges and the horizon potentials. We consider scattering experiments, finding that evolution towards a state in which the integral charges are equal is favoured, but neutral emission will dominate the decay back to extremality except when one charge is much greater than the others. The implications of our results for the agreement between black hole and D-brane emission rates and for the information loss puzzle are then discussed. |
hep-th/9612053 | Sachin Vaidya | A. P. Balachandran and S. Vaidya | Emergent Chiral Symmetry: Parity and Time Reversal Doubles | 32 pages, latex. minor changes in presentation and references | Int.J.Mod.Phys. A12 (1997) 5325-5357 | 10.1142/S0217751X97002851 | SU-4240-653 | hep-th | null | There are numerous examples of approximately degenerate states of opposite
parity in molecular physics. Theory indicates that these doubles can occur in
molecules that are reflection-asymmetric. Such parity doubles occur in nuclear
physics as well, among nuclei with odd A $\sim$ 219-229. We have also suggested
elsewhere that such doubles occur in particle physics for baryons made up of
`cbu' and `cbd' quarks. In this article, we discuss the theoretical foundations
of these doubles in detail, demonstrating their emergence as a surprisingly
subtle consequence of the Born-Oppenheimer approximation, and emphasizing their
bundle-theoretic and topological underpinnings. Starting with certain ``low
energy'' effective theories in which classical symmetries like parity and time
reversal are anomalously broken on quantization, we show how these symmetries
can be restored by judicious inclusion of ``high-energy'' degrees of freedom.
This mechanism of restoring the symmetry naturally leads to the aforementioned
doublet structure. A novel by-product of this mechanism is the emergence of an
approximate symmetry (corresponding to the approximate degeneracy of the
doubles) at low energies which is not evident in the full Hamiltonian. We also
discuss the implications of this mechanism for Skyrmion physics, monopoles,
anomalies and quantum gravity.
| [
{
"created": "Thu, 5 Dec 1996 01:02:09 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Feb 1997 16:12:37 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Balachandran",
"A. P.",
""
],
[
"Vaidya",
"S.",
""
]
] | There are numerous examples of approximately degenerate states of opposite parity in molecular physics. Theory indicates that these doubles can occur in molecules that are reflection-asymmetric. Such parity doubles occur in nuclear physics as well, among nuclei with odd A $\sim$ 219-229. We have also suggested elsewhere that such doubles occur in particle physics for baryons made up of `cbu' and `cbd' quarks. In this article, we discuss the theoretical foundations of these doubles in detail, demonstrating their emergence as a surprisingly subtle consequence of the Born-Oppenheimer approximation, and emphasizing their bundle-theoretic and topological underpinnings. Starting with certain ``low energy'' effective theories in which classical symmetries like parity and time reversal are anomalously broken on quantization, we show how these symmetries can be restored by judicious inclusion of ``high-energy'' degrees of freedom. This mechanism of restoring the symmetry naturally leads to the aforementioned doublet structure. A novel by-product of this mechanism is the emergence of an approximate symmetry (corresponding to the approximate degeneracy of the doubles) at low energies which is not evident in the full Hamiltonian. We also discuss the implications of this mechanism for Skyrmion physics, monopoles, anomalies and quantum gravity. |
1305.6968 | Felix Haehl | Felix M. Haehl, Mukund Rangamani | Comments on Hall transport from effective actions | 19 pages. v2: added refs and comments on connections with torsion.
v3: typos fixed, published version. v4: added comment on Legendre transform | JHEP 1310:074,2013 | 10.1007/JHEP10(2013)074 | DCPT-13/19 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider parity-odd transport in 2+1 dimensional charged fluids
restricting attention to the class of non-dissipative fluids. We show that
there is a two parameter family of such non-dissipative fluids which can be
derived from an effective action, in contradistinction with a four parameter
family that can be derived from an entropy current analysis. The effective
action approach allows us to extract the adiabatic transport data, in
particular the Hall viscosity and Hall conductivity amongst others, in terms of
the thermodynamic functions that enter as 'coupling constants'. Curiously, we
find that Hall viscosity is forced to vanish, whilst the Hall conductivity is
generically a non-vanishing function of thermodynamic data determined in terms
of the hydrodynamic couplings.
| [
{
"created": "Wed, 29 May 2013 22:30:11 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Jul 2013 15:53:31 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Oct 2013 14:54:39 GMT",
"version": "v3"
},
{
"created": "Sun, 18 Jan 2015 21:45:21 GMT",
"version": "v4"
}
] | 2015-01-20 | [
[
"Haehl",
"Felix M.",
""
],
[
"Rangamani",
"Mukund",
""
]
] | We consider parity-odd transport in 2+1 dimensional charged fluids restricting attention to the class of non-dissipative fluids. We show that there is a two parameter family of such non-dissipative fluids which can be derived from an effective action, in contradistinction with a four parameter family that can be derived from an entropy current analysis. The effective action approach allows us to extract the adiabatic transport data, in particular the Hall viscosity and Hall conductivity amongst others, in terms of the thermodynamic functions that enter as 'coupling constants'. Curiously, we find that Hall viscosity is forced to vanish, whilst the Hall conductivity is generically a non-vanishing function of thermodynamic data determined in terms of the hydrodynamic couplings. |
2011.14396 | Muneto Nitta | Muneto Nitta | Confinement and moduli locking of Alice strings and monopoles | 36 pages, 10 figures | null | null | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We argue that strings (vortices) and monopoles are confined, when fields
receiving nontrivial Aharonov-Bohm (AB) phases around a string develop vacuum
expectation values (VEVs). We illustrate this in an $SU(2) \times U(1)$ gauge
theory with charged triplet complex scalar fields admitting Alice strings and
monopoles, by introducing charged doublet scalar fields receiving nontrivial AB
phases around the Alice string. The Alice string carries a half $U(1)$ magnetic
flux and $1/4$ $SU(2)$ magnetic flux taking a value in two of the $SU(2)$
generators characterizing the $U(1)$ modulus. This string is not confined in
the absence of a doublet VEV in the sense that the $SU(2)$ magnetic flux can be
detected at large distance by an AB phase around the string. When the doublet
field develops VEVs, there appear two kinds of phases that we call deconfined
and confined phases. When a single Alice string is present in the deconfined
phase, the $U(1)$ modulus of the string and the vacuum moduli are locked (the
bulk-soliton moduli locking). In the confined phase, the Alice string is
inevitably attached by a domain wall that we call an AB defect and is confined
with an anti-Alice string or another Alice string with the same $SU(2)$ flux.
Depending on the partner, the pair annihilates or forms a stable doubly-wound
Alice string having an $SU(2)$ magnetic flux inside the core, whose color
cannot be detected at large distance by AB phases, implying the "color"
confinement. The theory also admits stable Abrikosov-Nielsen-Olesen string and
a ${\mathbb Z}_2$ string in the absence of the doublet VEVs, and each decays
into two Alice strings in the presence of the doublet VEVs. A monopole in this
theory can be constructed as a closed Alice string with the $U(1)$ modulus
twisted once, and we show that with the doublet VEVs, monopoles are also
confined to monopole mesons of the monopole charge two.
| [
{
"created": "Sun, 29 Nov 2020 16:39:32 GMT",
"version": "v1"
}
] | 2020-12-01 | [
[
"Nitta",
"Muneto",
""
]
] | We argue that strings (vortices) and monopoles are confined, when fields receiving nontrivial Aharonov-Bohm (AB) phases around a string develop vacuum expectation values (VEVs). We illustrate this in an $SU(2) \times U(1)$ gauge theory with charged triplet complex scalar fields admitting Alice strings and monopoles, by introducing charged doublet scalar fields receiving nontrivial AB phases around the Alice string. The Alice string carries a half $U(1)$ magnetic flux and $1/4$ $SU(2)$ magnetic flux taking a value in two of the $SU(2)$ generators characterizing the $U(1)$ modulus. This string is not confined in the absence of a doublet VEV in the sense that the $SU(2)$ magnetic flux can be detected at large distance by an AB phase around the string. When the doublet field develops VEVs, there appear two kinds of phases that we call deconfined and confined phases. When a single Alice string is present in the deconfined phase, the $U(1)$ modulus of the string and the vacuum moduli are locked (the bulk-soliton moduli locking). In the confined phase, the Alice string is inevitably attached by a domain wall that we call an AB defect and is confined with an anti-Alice string or another Alice string with the same $SU(2)$ flux. Depending on the partner, the pair annihilates or forms a stable doubly-wound Alice string having an $SU(2)$ magnetic flux inside the core, whose color cannot be detected at large distance by AB phases, implying the "color" confinement. The theory also admits stable Abrikosov-Nielsen-Olesen string and a ${\mathbb Z}_2$ string in the absence of the doublet VEVs, and each decays into two Alice strings in the presence of the doublet VEVs. A monopole in this theory can be constructed as a closed Alice string with the $U(1)$ modulus twisted once, and we show that with the doublet VEVs, monopoles are also confined to monopole mesons of the monopole charge two. |
hep-th/0606040 | Shinji Tsujikawa | Shinji Tsujikawa | Cosmologies from higher-order string corrections | 15 pages, 2 figures, References are added, plenary talk at Pomeranian
Workshop in Fundamental Cosmology (COSMOFUN 05), Pobierowo, Poland, 1-6
September 2005 | AnnalenPhys.15:302-315,2006 | 10.1002/andp.200510189 | null | hep-th astro-ph gr-qc hep-ph | null | We study cosmologies based on low-energy effective string theory with
higher-order string corrections to a tree-level action and with a modulus
scalar field (dilaton or compactification modulus). In the presence of such
corrections it is possible to construct nonsingular cosmological solutions in
the context of Pre-Big-Bang and Ekpyrotic universes. We review the construction
of nonsingular bouncing solutions and resulting density perturbations in
Pre-Big-Bang and Ekpyrotic models. We also discuss the effect of higher-order
string corrections on dark energy universe and show several interesting
possibilities of the avoidance of future singularities.
| [
{
"created": "Tue, 6 Jun 2006 08:32:06 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Aug 2006 02:53:01 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Tsujikawa",
"Shinji",
""
]
] | We study cosmologies based on low-energy effective string theory with higher-order string corrections to a tree-level action and with a modulus scalar field (dilaton or compactification modulus). In the presence of such corrections it is possible to construct nonsingular cosmological solutions in the context of Pre-Big-Bang and Ekpyrotic universes. We review the construction of nonsingular bouncing solutions and resulting density perturbations in Pre-Big-Bang and Ekpyrotic models. We also discuss the effect of higher-order string corrections on dark energy universe and show several interesting possibilities of the avoidance of future singularities. |
hep-th/0508072 | Harald Dorn | Harald Dorn and George Jorjadze | Massless scalar particle on AdS spacetime: Hamiltonian reduction and
quantization | 14 pages, Latex | JHEP 0605 (2006) 062 | 10.1088/1126-6708/2006/05/062 | HU-EP-05/36 | hep-th | null | We investigate the massless scalar particle dynamics on $AdS_{N+1} ~ (N>1)$
by the method of Hamiltonian reduction. Using the dynamical integrals of the
conformal symmetry we construct the physical phase space of the system as a
$SO(2,N+1)$ orbit in the space of symmetry generators. The symmetry generators
themselves are represented in terms of $(N+1)$-dimensional oscillator
variables. The physical phase space establishes a correspondence between the
$AdS_{N+1}$ null-geodesics and the dynamics at the boundary of $AdS_{N+2}$. The
quantum theory is described by a UIR of $SO(2,N+1)$ obtained at the unitarity
bound. This representation contains a pair of UIR's of the isometry subgroup
SO(2,N) with the Casimir number corresponding to the Weyl invariant mass value.
The whole discussion includes the globally well-defined realization of the
conformal group via the conformal embedding of $AdS_{N+1}$ in the ESU
$\rr\times S^N$.
| [
{
"created": "Wed, 10 Aug 2005 12:56:26 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Dorn",
"Harald",
""
],
[
"Jorjadze",
"George",
""
]
] | We investigate the massless scalar particle dynamics on $AdS_{N+1} ~ (N>1)$ by the method of Hamiltonian reduction. Using the dynamical integrals of the conformal symmetry we construct the physical phase space of the system as a $SO(2,N+1)$ orbit in the space of symmetry generators. The symmetry generators themselves are represented in terms of $(N+1)$-dimensional oscillator variables. The physical phase space establishes a correspondence between the $AdS_{N+1}$ null-geodesics and the dynamics at the boundary of $AdS_{N+2}$. The quantum theory is described by a UIR of $SO(2,N+1)$ obtained at the unitarity bound. This representation contains a pair of UIR's of the isometry subgroup SO(2,N) with the Casimir number corresponding to the Weyl invariant mass value. The whole discussion includes the globally well-defined realization of the conformal group via the conformal embedding of $AdS_{N+1}$ in the ESU $\rr\times S^N$. |
1603.02812 | Suvrat Raju | Souvik Banerjee, Jan-Willem Bryan, Kyriakos Papadodimas and Suvrat
Raju | A toy model of black hole complementarity | 24 pages | null | 10.1007/JHEP05(2016)004 | null | hep-th gr-qc | http://creativecommons.org/licenses/by-nc-sa/4.0/ | We consider the algebra of simple operators defined in a time band in a CFT
with a holographic dual. When the band is smaller than the light crossing time
of AdS, an entire causal diamond in the center of AdS is separated from the
band by a horizon. We show that this algebra obeys a version of the
Reeh-Schlieder theorem: the action of the algebra on the CFT vacuum can
approximate any low energy state in the CFT arbitrarily well, but no operator
within the algebra can exactly annihilate the vacuum. We show how to relate
local excitations in the complement of the central diamond to simple operators
in the band. Local excitations within the diamond are invisible to the algebra
of simple operators in the band by causality, but can be related to complicated
operators called "precursors". We use the Reeh-Schlieder theorem to write down
a simple and explicit formula for these precursors on the boundary. We comment
on the implications of our results for black hole complementarity and the
emergence of bulk locality from the boundary.
| [
{
"created": "Wed, 9 Mar 2016 08:50:56 GMT",
"version": "v1"
}
] | 2016-05-25 | [
[
"Banerjee",
"Souvik",
""
],
[
"Bryan",
"Jan-Willem",
""
],
[
"Papadodimas",
"Kyriakos",
""
],
[
"Raju",
"Suvrat",
""
]
] | We consider the algebra of simple operators defined in a time band in a CFT with a holographic dual. When the band is smaller than the light crossing time of AdS, an entire causal diamond in the center of AdS is separated from the band by a horizon. We show that this algebra obeys a version of the Reeh-Schlieder theorem: the action of the algebra on the CFT vacuum can approximate any low energy state in the CFT arbitrarily well, but no operator within the algebra can exactly annihilate the vacuum. We show how to relate local excitations in the complement of the central diamond to simple operators in the band. Local excitations within the diamond are invisible to the algebra of simple operators in the band by causality, but can be related to complicated operators called "precursors". We use the Reeh-Schlieder theorem to write down a simple and explicit formula for these precursors on the boundary. We comment on the implications of our results for black hole complementarity and the emergence of bulk locality from the boundary. |
hep-th/0308131 | Leszek Hadasz | Leszek Hadasz and Zbigniew Jaskolski | Polyakov conjecture for hyperbolic singularities | 11 pages; v2: misprints corrected. To appear in Phys. Lett. B | Phys.Lett. B574 (2003) 129-135 | 10.1016/j.physletb.2003.08.075 | null | hep-th | null | We propose the form of the Liouville action satisfying Polyakov conjecture on
the accessory parameters for the hyperbolic singularities on the Riemann
sphere.
| [
{
"created": "Wed, 20 Aug 2003 15:47:23 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Sep 2003 14:30:14 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Hadasz",
"Leszek",
""
],
[
"Jaskolski",
"Zbigniew",
""
]
] | We propose the form of the Liouville action satisfying Polyakov conjecture on the accessory parameters for the hyperbolic singularities on the Riemann sphere. |
1009.3324 | Haitao Liu | Haitao Liu | Notes On U(1) Instanton Counting On $A_{l-1}$ ALE Spaces | 14 pages, minor corrections | null | null | null | hep-th math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note, we investigate the detailed relationship between the orbifold
partition counting and the (l-quotient, l-core) pair counting. We show that the
orbifold partition counting is exactly the same as the (l-quotient, l-core)
pair counting.
| [
{
"created": "Fri, 17 Sep 2010 03:31:03 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Nov 2010 02:35:50 GMT",
"version": "v2"
}
] | 2010-11-05 | [
[
"Liu",
"Haitao",
""
]
] | In this note, we investigate the detailed relationship between the orbifold partition counting and the (l-quotient, l-core) pair counting. We show that the orbifold partition counting is exactly the same as the (l-quotient, l-core) pair counting. |
2207.01474 | Zhe-Fei Yu | Bin Chen, Peng-xiang Hao, Reiko Liu and Zhe-fei Yu | On Galilean Conformal Bootstrap II: $\xi=0$ sector | 40 pages | null | 10.1007/JHEP12(2022)019 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we continue our work on two dimensional Galilean conformal
field theory (GCFT$_2$). Our previous work (arXiv:2011.11092) focused on the
$\xi\neq 0$ sector, here we investigate the more subtle $\xi=0$ sector to
complete the discussion. The case $\xi=0$ is degenerate since there emerge
interesting null states in a general $\xi=0$ boost multiplet. We specify these
null states and work out the resulting selection rules. Then, we compute the
$\xi=0$ global GCA blocks and find that they can be written as a linear
combination of several building blocks, each of which can be obtained from a
$sl(2,\mathbb{R})$ Casimir equation. These building blocks allow us to give an
Euclidean inversion formula as well. As a consistency check, we study
four-point functions of certain vertex operators in the BMS free scalar theory.
In this case, the $\xi=0$ sector is the only allowable sector in the
propagating channel. We find that the direct expansion of the 4-point function
reproduces the global GCA block and is consistent with the inversion formula.
| [
{
"created": "Mon, 4 Jul 2022 15:08:51 GMT",
"version": "v1"
}
] | 2022-12-21 | [
[
"Chen",
"Bin",
""
],
[
"Hao",
"Peng-xiang",
""
],
[
"Liu",
"Reiko",
""
],
[
"Yu",
"Zhe-fei",
""
]
] | In this work, we continue our work on two dimensional Galilean conformal field theory (GCFT$_2$). Our previous work (arXiv:2011.11092) focused on the $\xi\neq 0$ sector, here we investigate the more subtle $\xi=0$ sector to complete the discussion. The case $\xi=0$ is degenerate since there emerge interesting null states in a general $\xi=0$ boost multiplet. We specify these null states and work out the resulting selection rules. Then, we compute the $\xi=0$ global GCA blocks and find that they can be written as a linear combination of several building blocks, each of which can be obtained from a $sl(2,\mathbb{R})$ Casimir equation. These building blocks allow us to give an Euclidean inversion formula as well. As a consistency check, we study four-point functions of certain vertex operators in the BMS free scalar theory. In this case, the $\xi=0$ sector is the only allowable sector in the propagating channel. We find that the direct expansion of the 4-point function reproduces the global GCA block and is consistent with the inversion formula. |
hep-th/9901083 | Dan Baleanu | Dumitru Baleanu (Bogoliubov LTPh, JINR, Dubna, Russia), Yurdahan Guler
(Cankaya University, Ankara, Turkey) | Hamilton-Jacobi quantization of the finite dimensional systems with
constraints | 7 pages LaTeX, corrected typos | Nuovo Cim. B114 (1999) 709-716 | null | null | hep-th | null | The Hamiltonian treatment of constrained systems in $G\ddot{u}ler's$
formalism leads us to the total differential equations in many variables. These
equations are integrable if the corresponding system of partial differential
equations is a Jacobi system. The main aim of this paper is to investigate the
quantization of the finite dimensional systems with constraints using the
canonical formalism introduced by $G\ddot{u}ler$. This approach is applied for
two systems with constraints and the results are in agreement with those
obtained by Dirac's canonical quatization method and path integral quantization
method.
| [
{
"created": "Tue, 19 Jan 1999 20:41:07 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Aug 1999 11:32:12 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Baleanu",
"Dumitru",
"",
"Bogoliubov LTPh, JINR, Dubna, Russia"
],
[
"Guler",
"Yurdahan",
"",
"Cankaya University, Ankara, Turkey"
]
] | The Hamiltonian treatment of constrained systems in $G\ddot{u}ler's$ formalism leads us to the total differential equations in many variables. These equations are integrable if the corresponding system of partial differential equations is a Jacobi system. The main aim of this paper is to investigate the quantization of the finite dimensional systems with constraints using the canonical formalism introduced by $G\ddot{u}ler$. This approach is applied for two systems with constraints and the results are in agreement with those obtained by Dirac's canonical quatization method and path integral quantization method. |
hep-th/9403108 | Erika Zynda | C. Holzhey, F. Larsen and F. Wilczek | Geometric and Renormalized Entropy in Conformal Field Theory | 35 pages, 4 figures available on request to zynda@guinness.ias.edu,
use Phyzzx, PUPT-1454, IASSNS-HEP 93/88 | Nucl.Phys. B424 (1994) 443-467 | 10.1016/0550-3213(94)90402-2 | null | hep-th gr-qc | null | In statistical physics, useful notions of entropy are defined with respect to
some coarse graining procedure over a microscopic model. Here we consider some
special problems that arise when the microscopic model is taken to be
relativistic quantum field theory. These problems are associated with the
existence of an infinite number of degrees of freedom per unit volume. Because
of these the microscopic entropy can, and typically does, diverge for sharply
localized states. However the difference in the entropy between two such states
is better behaved, and for most purposes it is the useful quantity to consider.
In particular, a renormalized entropy can be defined as the entropy relative to
the ground state. We make these remarks quantitative and precise in a simple
model situation: the states of a conformal quantum field theory excited by a
moving mirror. From this work, we attempt to draw some lessons concerning the
``information problem'' in black hole physics
| [
{
"created": "Fri, 18 Mar 1994 15:54:30 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Holzhey",
"C.",
""
],
[
"Larsen",
"F.",
""
],
[
"Wilczek",
"F.",
""
]
] | In statistical physics, useful notions of entropy are defined with respect to some coarse graining procedure over a microscopic model. Here we consider some special problems that arise when the microscopic model is taken to be relativistic quantum field theory. These problems are associated with the existence of an infinite number of degrees of freedom per unit volume. Because of these the microscopic entropy can, and typically does, diverge for sharply localized states. However the difference in the entropy between two such states is better behaved, and for most purposes it is the useful quantity to consider. In particular, a renormalized entropy can be defined as the entropy relative to the ground state. We make these remarks quantitative and precise in a simple model situation: the states of a conformal quantum field theory excited by a moving mirror. From this work, we attempt to draw some lessons concerning the ``information problem'' in black hole physics |
0901.1433 | Rudra Prakash Malik | R. P. Malik (Bhu), B. P. Mandal (Bhu), S. K. Rai (Bhu) | Absolute anticommutativity of the nilpotent symmetries in the
Hamiltonian formalism: free Abelian 2-form gauge theory | LaTeX file, 19 pages, To appear in IJMPA, journal version | Int.J.Mod.Phys.A24:6157-6176,2009 | 10.1142/S0217751X09047715 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The celebrated Curci-Ferrari (CF) type of restrictions are invoked to obtain
the off-shell nilpotent and absolutely anticommuting (anti-) BRST as well as
(anti-) co-BRST symmetry transformations in the context of the Lagrangian
description of the physical four (3 + 1)-dimensional (4D) free Abelian 2-form
gauge theory. We show that the above CF type conditions, which turn out to be
the secondary constraints of the theory, remain invariant with respect to the
time-evolution of the above 2-form gauge system in the Hamiltonian formulation.
This time-evolution invariance (i) physically ensures the linear independence
of the BRST versus anti-BRST as well as co-BRST versus anti-co-BRST symmetry
transformations, and (ii) provides a logical reason behind the imposition of
the above CF type restrictions in the proof of the absolute anticommutativity
of the off-shell nilpotent (anti-) BRST as well as (anti-) co-BRST symmetry
transformations.
| [
{
"created": "Sun, 11 Jan 2009 14:42:20 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Feb 2009 12:26:20 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Sep 2009 10:43:28 GMT",
"version": "v3"
}
] | 2010-01-21 | [
[
"Malik",
"R. P.",
"",
"Bhu"
],
[
"Mandal",
"B. P.",
"",
"Bhu"
],
[
"Rai",
"S. K.",
"",
"Bhu"
]
] | The celebrated Curci-Ferrari (CF) type of restrictions are invoked to obtain the off-shell nilpotent and absolutely anticommuting (anti-) BRST as well as (anti-) co-BRST symmetry transformations in the context of the Lagrangian description of the physical four (3 + 1)-dimensional (4D) free Abelian 2-form gauge theory. We show that the above CF type conditions, which turn out to be the secondary constraints of the theory, remain invariant with respect to the time-evolution of the above 2-form gauge system in the Hamiltonian formulation. This time-evolution invariance (i) physically ensures the linear independence of the BRST versus anti-BRST as well as co-BRST versus anti-co-BRST symmetry transformations, and (ii) provides a logical reason behind the imposition of the above CF type restrictions in the proof of the absolute anticommutativity of the off-shell nilpotent (anti-) BRST as well as (anti-) co-BRST symmetry transformations. |
1012.5273 | Jurgen Baacke | Jurgen Baacke | One-loop corrections to the Nielsen-Olesen vortex: collective
oscillations | 18 pages, 1 figure | Phys.Rev.D83:045028,2011 | 10.1103/PhysRevD.83.045028 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We connect the translation modes of the instanton in the two-dimensional
Abelian Higgs model with local translations of the vortex of the related model
in (3+1) dimensions, the Nielsen-Olesen vortex. In this context these modes
describe collective oscillations of the string. We construct the wave function
of this mode and we derive, via a virial theorem, an effective action for these
oscillations, which is consistent with the action constructed by Nielsen and
Olesen using general arguments. We discuss some aspects of renormalization,
based on a recent computation of one loop corrections to string tension of the
vortex.
| [
{
"created": "Thu, 23 Dec 2010 19:02:11 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Dec 2010 17:45:44 GMT",
"version": "v2"
}
] | 2011-03-23 | [
[
"Baacke",
"Jurgen",
""
]
] | We connect the translation modes of the instanton in the two-dimensional Abelian Higgs model with local translations of the vortex of the related model in (3+1) dimensions, the Nielsen-Olesen vortex. In this context these modes describe collective oscillations of the string. We construct the wave function of this mode and we derive, via a virial theorem, an effective action for these oscillations, which is consistent with the action constructed by Nielsen and Olesen using general arguments. We discuss some aspects of renormalization, based on a recent computation of one loop corrections to string tension of the vortex. |
1101.4238 | Sergii Kutnii | Sergii Kutnii | Inhomogeneous Vacuum States in Nambu-Jona-Lasinio Model | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The mean field approach to the Nambu-Jona-Lasinio model is developed
systematically. Approximate mean field action is obtained, based on the study
of divergencies in the mean field action. A special scalar case of the
approximate motion equations is studied and inhomogenouous solutions are
discussed. It is shown that the model can have inhomogeneous vacuum
configurations which leads to bound fermionic states.
| [
{
"created": "Fri, 21 Jan 2011 22:02:58 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Jan 2011 16:15:17 GMT",
"version": "v2"
}
] | 2011-01-26 | [
[
"Kutnii",
"Sergii",
""
]
] | The mean field approach to the Nambu-Jona-Lasinio model is developed systematically. Approximate mean field action is obtained, based on the study of divergencies in the mean field action. A special scalar case of the approximate motion equations is studied and inhomogenouous solutions are discussed. It is shown that the model can have inhomogeneous vacuum configurations which leads to bound fermionic states. |
2310.02092 | Cliff Burgess | Philippe Brax, C.P. Burgess and F. Quevedo | Axio-Chameleons: A Novel String-Friendly Multi-field Screening Mechanism | 27 pages, 9 figures | null | null | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Scalar-tensor theories with the shift symmetries required by light scalars
are well-explored modifications to GR. For these, two-derivative scalar
self-interactions usually dominate at low energies and interestingly compete
with the two-derivative metric interactions of GR itself. Although much effort
has been invested in single scalars (on grounds of simplicity) these happen to
have no two-derivative interactions, requiring such models to explore
higher-derivative interactions (that usually would be less important at
low-energies). This suggests multiple-scalar sigma models as well-motivated
candidates for finding new phenomena in tests of gravity. We identify a new
multi-field screening mechanism appropriate for two light scalar fields (an
axion and a Brans-Dicke style dilaton) that relies on their mutual
two-derivative interactions. We show how very weak axion-matter couplings can
introduce axion gradients that can reduce the apparent coupling of the
Brans-Dicke scalar to macroscopic matter sources. We further identify a
relaxation mechanism that allows this reduction to be amplified to a
suppression by the ratio of the axion gradient's length scale to the source's
radius (similar in size to the suppression found in Chameleon models). Unlike
some screening mechanisms our proposal is technically natural and works deep
within the regime of control of the low-energy EFT. It uses only ingredients
that commonly appear in the low-energy limit of string vacua and so is likely
to have wider applications to models that admit UV completions. We briefly
discuss phenomenological implications and challenges for this scenario, which
suggests re-examination of decay loss bounds and the value of
equivalence-principle tests for different-sized objects.
| [
{
"created": "Tue, 3 Oct 2023 14:34:38 GMT",
"version": "v1"
}
] | 2023-10-05 | [
[
"Brax",
"Philippe",
""
],
[
"Burgess",
"C. P.",
""
],
[
"Quevedo",
"F.",
""
]
] | Scalar-tensor theories with the shift symmetries required by light scalars are well-explored modifications to GR. For these, two-derivative scalar self-interactions usually dominate at low energies and interestingly compete with the two-derivative metric interactions of GR itself. Although much effort has been invested in single scalars (on grounds of simplicity) these happen to have no two-derivative interactions, requiring such models to explore higher-derivative interactions (that usually would be less important at low-energies). This suggests multiple-scalar sigma models as well-motivated candidates for finding new phenomena in tests of gravity. We identify a new multi-field screening mechanism appropriate for two light scalar fields (an axion and a Brans-Dicke style dilaton) that relies on their mutual two-derivative interactions. We show how very weak axion-matter couplings can introduce axion gradients that can reduce the apparent coupling of the Brans-Dicke scalar to macroscopic matter sources. We further identify a relaxation mechanism that allows this reduction to be amplified to a suppression by the ratio of the axion gradient's length scale to the source's radius (similar in size to the suppression found in Chameleon models). Unlike some screening mechanisms our proposal is technically natural and works deep within the regime of control of the low-energy EFT. It uses only ingredients that commonly appear in the low-energy limit of string vacua and so is likely to have wider applications to models that admit UV completions. We briefly discuss phenomenological implications and challenges for this scenario, which suggests re-examination of decay loss bounds and the value of equivalence-principle tests for different-sized objects. |
hep-th/0011084 | Tekin Dereli | A. Catal, T. Dereli (METU, Ankara) | Non-commutative Geometry and the Higgs Masses | 8 pages, no figures, REVTEX | Phys.Rev. D63 (2001) 075006 | 10.1103/PhysRevD.63.075006 | null | hep-th | null | We study a non-commutative generalization of the standard electroweak model
proposed by Balakrishna, Gursey and Wali [ Phys.Lett. B254(1991)430] that is
formulated in terms of the derivations Der_2(M_3) of a three-dimensional
representation of the su(2) Lie algebra of weak isospin. The linearized Higgs
field equations and the scalar boson mass eigenvalues are explicitly given. A
light Higgs boson with mass around 130 GeV together with four very heavy scalar
bosons are predicted.
| [
{
"created": "Fri, 10 Nov 2000 15:53:10 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Catal",
"A.",
"",
"METU, Ankara"
],
[
"Dereli",
"T.",
"",
"METU, Ankara"
]
] | We study a non-commutative generalization of the standard electroweak model proposed by Balakrishna, Gursey and Wali [ Phys.Lett. B254(1991)430] that is formulated in terms of the derivations Der_2(M_3) of a three-dimensional representation of the su(2) Lie algebra of weak isospin. The linearized Higgs field equations and the scalar boson mass eigenvalues are explicitly given. A light Higgs boson with mass around 130 GeV together with four very heavy scalar bosons are predicted. |
1105.4286 | Yi-Fu Cai | Yi-Fu Cai, Robert Brandenberger, Xinmin Zhang | Preheating a bouncing universe | 12 pages, 5 figures | Phys.Lett.B703:25-33,2011 | 10.1016/j.physletb.2011.07.074 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Preheating describes the stage of rapidly depositing the energy of
cosmological scalar field into excitations of other light fields. This stage is
characterized by exponential particle production due to the parametric
resonance. We study this process in the frame of matter bounce cosmology. Our
results show that the preheating process in bouncing cosmology is even more
efficient than that in inflationary cosmology. In the limit of weak coupling,
the period of preheating is doubled. For the case of normal coupling, the
back-reaction of light fields can lead to thermalization before the bouncing
point. The scenario of matter bounce curvaton could be tightly constrained due
to a large coupling coefficient if the curvaton field is expected to preheat
the universe directly. However, this concern can be greatly relaxed through the
process of geometric preheating.
| [
{
"created": "Sat, 21 May 2011 20:04:01 GMT",
"version": "v1"
}
] | 2015-03-19 | [
[
"Cai",
"Yi-Fu",
""
],
[
"Brandenberger",
"Robert",
""
],
[
"Zhang",
"Xinmin",
""
]
] | Preheating describes the stage of rapidly depositing the energy of cosmological scalar field into excitations of other light fields. This stage is characterized by exponential particle production due to the parametric resonance. We study this process in the frame of matter bounce cosmology. Our results show that the preheating process in bouncing cosmology is even more efficient than that in inflationary cosmology. In the limit of weak coupling, the period of preheating is doubled. For the case of normal coupling, the back-reaction of light fields can lead to thermalization before the bouncing point. The scenario of matter bounce curvaton could be tightly constrained due to a large coupling coefficient if the curvaton field is expected to preheat the universe directly. However, this concern can be greatly relaxed through the process of geometric preheating. |
hep-th/9310147 | Robert Coquereaux | R. Coquereaux, E. Ragoucy | Currents on Grassmann algebras | 20 pages, CPT-93/P.2935 and ENSLAPP-440/93 | J.Geom.Phys. 15 (1995) 333-352 | 10.1016/0393-0440(94)00014-U | null | hep-th | null | We define currents on a Grassmann algebra $Gr(N)$ with $N$ generators as
distributions on its exterior algebra (using the symmetric wedge product). We
interpret the currents in terms of ${\Z}_2$-graded Hochschild cohomology and
closed currents in terms of cyclic cocycles (they are particular multilinear
forms on $Gr(N)$). An explicit construction of the vector space of closed
currents of degree $p$ on $Gr(N)$ is given by using Berezin integration.
| [
{
"created": "Fri, 22 Oct 1993 07:58:41 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Coquereaux",
"R.",
""
],
[
"Ragoucy",
"E.",
""
]
] | We define currents on a Grassmann algebra $Gr(N)$ with $N$ generators as distributions on its exterior algebra (using the symmetric wedge product). We interpret the currents in terms of ${\Z}_2$-graded Hochschild cohomology and closed currents in terms of cyclic cocycles (they are particular multilinear forms on $Gr(N)$). An explicit construction of the vector space of closed currents of degree $p$ on $Gr(N)$ is given by using Berezin integration. |
hep-th/9703151 | Malgorzata Klimek | M. Klimek | Conservation laws for linear equations on quantum Minkowski spaces | 21 pages, LaTeX file | Commun.Math.Phys. 192 (1998) 29-45 | 10.1007/s002200050289 | null | hep-th | null | The general, linear equations with constant coefficients on quantum Minkowski
spaces are considered and the explicit formulae for their conserved currents
are given. The proposed procedure can be simplified for *-invariant equations.
The derived method is then applied to Klein-Gordon, Dirac and wave equations on
different classes of Minkowski spaces. In the examples also symmetry operators
for these equations are obtained. They include quantum deformations of
classical symmetry operators as well as an additional operator connected with
deformation of the Leibnitz rule in non-commutative differential calculus.
| [
{
"created": "Fri, 21 Mar 1997 14:34:27 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Klimek",
"M.",
""
]
] | The general, linear equations with constant coefficients on quantum Minkowski spaces are considered and the explicit formulae for their conserved currents are given. The proposed procedure can be simplified for *-invariant equations. The derived method is then applied to Klein-Gordon, Dirac and wave equations on different classes of Minkowski spaces. In the examples also symmetry operators for these equations are obtained. They include quantum deformations of classical symmetry operators as well as an additional operator connected with deformation of the Leibnitz rule in non-commutative differential calculus. |
1707.02491 | Oleg Teryaev | George Prokhorov and Oleg Teryaev | Anomalous current from covariant Wigner functions | 10 pages, no figures | Phys. Rev. D 97, 076013 (2018) | 10.1103/PhysRevD.97.076013 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider accelerated and rotating media of weakly interacting fermions in
local thermodynamic equilibrium. Kinetic properties of this media are described
by covariant Wigner function calculated on the basis of relativistic
distribution function of particles with spin. We obtain the formulae for axial
current beyond the approximation of smallness of thermal vorticity tensor and
chemical potential and calculate its divergence. In the massless limit higher
order terms in vorticity and chemical potential compensate each other with only
the low-order contributions surviving. It is shown, that axial current gets a
topological component along the 4-acceleration vector. The similarity between
different approaches to baryon polarisation is established.
| [
{
"created": "Sat, 8 Jul 2017 20:23:41 GMT",
"version": "v1"
}
] | 2018-05-02 | [
[
"Prokhorov",
"George",
""
],
[
"Teryaev",
"Oleg",
""
]
] | We consider accelerated and rotating media of weakly interacting fermions in local thermodynamic equilibrium. Kinetic properties of this media are described by covariant Wigner function calculated on the basis of relativistic distribution function of particles with spin. We obtain the formulae for axial current beyond the approximation of smallness of thermal vorticity tensor and chemical potential and calculate its divergence. In the massless limit higher order terms in vorticity and chemical potential compensate each other with only the low-order contributions surviving. It is shown, that axial current gets a topological component along the 4-acceleration vector. The similarity between different approaches to baryon polarisation is established. |
hep-th/0304105 | Gustavo Dourado Barbosa | G. D. Barbosa and N. Pinto-Neto | Noncommutative quantum mechanics and Bohm's ontological interpretation | null | Phys. Rev. D69 (2004) 065014 | 10.1103/PhysRevD.69.065014 | null | hep-th quant-ph | null | We carry out an investigation into the possibility of developing a Bohmian
interpretation based on the continuous motion of point particles for
noncommutative quantum mechanics. The conditions for such an interpretation to
be consistent are determined, and the implications of its adoption for
noncommutativity are discussed. A Bohmian analysis of the noncommutative
harmonic oscillator is carried out in detail. By studying the particle motion
in the oscillator orbits, we show that small-scale physics can have influence
at large scales, something similar to the IR-UV mixing.
| [
{
"created": "Thu, 10 Apr 2003 18:59:27 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Apr 2003 19:13:25 GMT",
"version": "v2"
},
{
"created": "Mon, 26 May 2003 01:52:12 GMT",
"version": "v3"
},
{
"created": "Fri, 10 Oct 2003 01:08:09 GMT",
"version": "v4"
},
{
"created": "Mon, 12 Jul 2004 23:15:21 GMT",
"version": "v5"
}
] | 2009-11-10 | [
[
"Barbosa",
"G. D.",
""
],
[
"Pinto-Neto",
"N.",
""
]
] | We carry out an investigation into the possibility of developing a Bohmian interpretation based on the continuous motion of point particles for noncommutative quantum mechanics. The conditions for such an interpretation to be consistent are determined, and the implications of its adoption for noncommutativity are discussed. A Bohmian analysis of the noncommutative harmonic oscillator is carried out in detail. By studying the particle motion in the oscillator orbits, we show that small-scale physics can have influence at large scales, something similar to the IR-UV mixing. |
1111.2934 | Nicholas Stephen Manton | N. S. Manton | Monopole Planets and Galaxies | 23 pages. Revised version to appear in Physical Review D. New
introduction and conclusions; analogy between monopoles and astrophysical
objects developed further | null | 10.1103/PhysRevD.85.045022 | DAMTP-2011-100 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Spherical clusters of SU(2) BPS monopoles are investigated here. A large
class of monopole solutions is found using an abelian approximation, where the
clusters are spherically symmetric, although exact solutions cannot have this
symmetry precisely. Monopole clusters generalise the Bolognesi magnetic bag
solution of the same charge, but they are always larger. Selected density
profiles give structures analogous to planets of uniform density, and galaxies
with a density decaying as the inverse square of the distance from the centre.
The Bolognesi bag itself has features analogous to a black hole, and this
analogy between monopole clusters and astrophysical objects with or without
black holes in their central region is developed further. It is also shown that
certain exact, platonic monopoles of small charge have sizes and other features
consistent with what is expected for magnetic bags.
| [
{
"created": "Sat, 12 Nov 2011 15:11:52 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jan 2012 15:45:39 GMT",
"version": "v2"
}
] | 2013-05-30 | [
[
"Manton",
"N. S.",
""
]
] | Spherical clusters of SU(2) BPS monopoles are investigated here. A large class of monopole solutions is found using an abelian approximation, where the clusters are spherically symmetric, although exact solutions cannot have this symmetry precisely. Monopole clusters generalise the Bolognesi magnetic bag solution of the same charge, but they are always larger. Selected density profiles give structures analogous to planets of uniform density, and galaxies with a density decaying as the inverse square of the distance from the centre. The Bolognesi bag itself has features analogous to a black hole, and this analogy between monopole clusters and astrophysical objects with or without black holes in their central region is developed further. It is also shown that certain exact, platonic monopoles of small charge have sizes and other features consistent with what is expected for magnetic bags. |
1512.00073 | Juan Jottar | M\'aximo Ba\~nados, Alejandra Castro, Alberto Faraggi and Juan I.
Jottar | Extremal Higher Spin Black Holes | 63 + 18 pages, 2 figures. v2: typos corrected, minor rewording in the
abstract for improved clarity, version published in JHEP | JHEP 1604:077,2016 | 10.1007/JHEP04(2016)077 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The gauge sector of three-dimensional higher spin gravities can be formulated
as a Chern-Simons theory. In this context, a higher spin black hole corresponds
to a flat connection with suitable holonomy (smoothness) conditions which are
consistent with the properties of a generalized thermal ensemble. Building on
these ideas, we discuss a definition of black hole extremality which is
appropriate to the topological character of 3d higher spin theories. Our
definition can be phrased in terms of the Jordan class of the holonomy around a
non-contractible (angular) cycle, and we show that it is compatible with the
zero-temperature limit of smooth black hole solutions. While this notion of
extremality does not require supersymmetry, we exemplify its consequences in
the context of sl(3|2) + sl(3|2) Chern-Simons theory and show that, as usual,
not all extremal solutions preserve supersymmetries. Remarkably, we find in
addition that the higher spin setup allows for non-extremal supersymmetric
black hole solutions. Furthermore, we discuss our results from the perspective
of the holographic duality between sl(3|2) + sl(3|2) Chern-Simons theory and
two-dimensional CFTs with W_{(3|2)} symmetry, the simplest higher spin
extension of the N=2 super-Virasoro algebra. In particular, we compute
W_{(3|2)} BPS bounds at the full quantum level, and relate their semiclassical
limit to extremal black hole or conical defect solutions in the 3d bulk. Along
the way, we discuss the role of the spectral flow automorphism and provide a
conjecture for the form of the semiclassical BPS bounds in general N=2
two-dimensional CFTs with extended symmetry algebras.
| [
{
"created": "Mon, 30 Nov 2015 22:31:37 GMT",
"version": "v1"
},
{
"created": "Thu, 26 May 2016 21:19:51 GMT",
"version": "v2"
}
] | 2018-10-09 | [
[
"Bañados",
"Máximo",
""
],
[
"Castro",
"Alejandra",
""
],
[
"Faraggi",
"Alberto",
""
],
[
"Jottar",
"Juan I.",
""
]
] | The gauge sector of three-dimensional higher spin gravities can be formulated as a Chern-Simons theory. In this context, a higher spin black hole corresponds to a flat connection with suitable holonomy (smoothness) conditions which are consistent with the properties of a generalized thermal ensemble. Building on these ideas, we discuss a definition of black hole extremality which is appropriate to the topological character of 3d higher spin theories. Our definition can be phrased in terms of the Jordan class of the holonomy around a non-contractible (angular) cycle, and we show that it is compatible with the zero-temperature limit of smooth black hole solutions. While this notion of extremality does not require supersymmetry, we exemplify its consequences in the context of sl(3|2) + sl(3|2) Chern-Simons theory and show that, as usual, not all extremal solutions preserve supersymmetries. Remarkably, we find in addition that the higher spin setup allows for non-extremal supersymmetric black hole solutions. Furthermore, we discuss our results from the perspective of the holographic duality between sl(3|2) + sl(3|2) Chern-Simons theory and two-dimensional CFTs with W_{(3|2)} symmetry, the simplest higher spin extension of the N=2 super-Virasoro algebra. In particular, we compute W_{(3|2)} BPS bounds at the full quantum level, and relate their semiclassical limit to extremal black hole or conical defect solutions in the 3d bulk. Along the way, we discuss the role of the spectral flow automorphism and provide a conjecture for the form of the semiclassical BPS bounds in general N=2 two-dimensional CFTs with extended symmetry algebras. |
1610.04926 | Michael Lashkevich | Michael Lashkevich and Yaroslav Pugai | Algebraic approach to form factors in the complex sinh-Gordon theory | 10 pages; v2: a reference added; presentation improved; v3: an
annoying misprint in the inline formula before (2.16) corrected | null | 10.1016/j.physletb.2016.11.031 | null | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study form factors of the quantum complex sinh-Gordon theory in the
algebraic approach. In the case of exponential fields the form factors can be
obtained from the known form factors of the $Z_N$-symmetric Ising model. The
algebraic construction also provides an Ansatz for form factors of descendant
operators. We obtain generating functions of such form factors and establish
their main properties: the cluster factorization and reflection equations.
| [
{
"created": "Sun, 16 Oct 2016 23:11:32 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Nov 2016 18:08:27 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Nov 2016 14:44:15 GMT",
"version": "v3"
}
] | 2016-11-28 | [
[
"Lashkevich",
"Michael",
""
],
[
"Pugai",
"Yaroslav",
""
]
] | We study form factors of the quantum complex sinh-Gordon theory in the algebraic approach. In the case of exponential fields the form factors can be obtained from the known form factors of the $Z_N$-symmetric Ising model. The algebraic construction also provides an Ansatz for form factors of descendant operators. We obtain generating functions of such form factors and establish their main properties: the cluster factorization and reflection equations. |
hep-th/0608096 | Mikhail Plyushchay | Francisco Correa, Luis-Miguel Nieto and Mikhail S. Plyushchay | Hidden nonlinear supersymmetry of finite-gap Lame equation | 5 pages; refs and comments added, journal version | Phys.Lett. B644 (2007) 94-98 | 10.1016/j.physletb.2006.11.020 | null | hep-th math-ph math.MP nlin.SI quant-ph | null | A bosonized nonlinear (polynomial) supersymmetry is revealed as a hidden
symmetry of the finite-gap Lame equation. This gives a natural explanation for
peculiar properties of the periodic quantum system underlying diverse models
and mechanisms in field theory, nonlinear wave physics, cosmology and condensed
matter physics.
| [
{
"created": "Tue, 15 Aug 2006 03:06:05 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Dec 2006 17:50:08 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Correa",
"Francisco",
""
],
[
"Nieto",
"Luis-Miguel",
""
],
[
"Plyushchay",
"Mikhail S.",
""
]
] | A bosonized nonlinear (polynomial) supersymmetry is revealed as a hidden symmetry of the finite-gap Lame equation. This gives a natural explanation for peculiar properties of the periodic quantum system underlying diverse models and mechanisms in field theory, nonlinear wave physics, cosmology and condensed matter physics. |
hep-th/9603138 | Moreno | D. C. Cabra and E. F. Moreno | Duality in deformed coset fermionic models | 13 pages, LaTex. Minor corrections. One reference added. Version to
appear in Nuc. Phys. B | Nucl.Phys. B475 (1996) 522-534 | 10.1016/0550-3213(96)00329-X | La Plata-Th 96/05 - CCNY-HEP-96/5 | hep-th | null | We study the $SU(2)_k/U(1)$-parafermion model perturbed by its first thermal
operator. By formulating the theory in terms of a (perturbed) fermionic coset
model we show that the model is equivalent to interacting WZW fields modulo
free fields. In this scheme, the order and disorder operators of the $Z_k$
parafermion theory are constructed as gauge invariant composites. We find that
the theory presents a duality symmetry that interchanges the roles of the spin
and dual spin operators. For two particular values of the coupling constant we
find that the theory recovers conformal invariance and the gauge symmetry is
enlarged. We also find a novel self-dual point.
| [
{
"created": "Wed, 20 Mar 1996 20:59:53 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jun 1996 17:46:17 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Cabra",
"D. C.",
""
],
[
"Moreno",
"E. F.",
""
]
] | We study the $SU(2)_k/U(1)$-parafermion model perturbed by its first thermal operator. By formulating the theory in terms of a (perturbed) fermionic coset model we show that the model is equivalent to interacting WZW fields modulo free fields. In this scheme, the order and disorder operators of the $Z_k$ parafermion theory are constructed as gauge invariant composites. We find that the theory presents a duality symmetry that interchanges the roles of the spin and dual spin operators. For two particular values of the coupling constant we find that the theory recovers conformal invariance and the gauge symmetry is enlarged. We also find a novel self-dual point. |
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