LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

0802.1556

Ashoke Sen

Shamik Banerjee, Ashoke Sen, Yogesh K. Srivastava

Partition Functions of Torsion >1 Dyons in Heterotic String Theory on T^6

LaTeX file, 16 pages

JHEP 0805:098,2008

10.1088/1126-6708/2008/05/098

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The original proposal of Dijkgraaf, Verlinde and Verlinde for the quarter BPS dyon partition function in heterotic string theory on T^6 is known to correctly produce the degeneracy of dyons of torsion 1, i.e. dyons for which gcd(Q\wedge P)=1. We propose a generalization of this formula for dyons of arbitrary torsion. Our proposal satisfies the constraints coming from S-duality invariance, wall crossing formula, black hole entropy and the gauge theory limit. Furthermore using our proposal we derive a general wall crossing formula that is valid even when both the decay products are non-primitive half-BPS dyons.

[ { "created": "Tue, 12 Feb 2008 02:52:52 GMT", "version": "v1" } ]

2009-09-15

[ [ "Banerjee", "Shamik", "" ], [ "Sen", "Ashoke", "" ], [ "Srivastava", "Yogesh K.", "" ] ]

The original proposal of Dijkgraaf, Verlinde and Verlinde for the quarter BPS dyon partition function in heterotic string theory on T^6 is known to correctly produce the degeneracy of dyons of torsion 1, i.e. dyons for which gcd(Q\wedge P)=1. We propose a generalization of this formula for dyons of arbitrary torsion. Our proposal satisfies the constraints coming from S-duality invariance, wall crossing formula, black hole entropy and the gauge theory limit. Furthermore using our proposal we derive a general wall crossing formula that is valid even when both the decay products are non-primitive half-BPS dyons.

7.328313

6.21417

10.143654

6.371987

5.893697

6.003887

5.891756

6.054755

6.649216

9.005409

6.335454

6.698082

7.663679

7.086791

6.742672

6.823753

6.906766

6.878903

6.747925

7.586142

6.731853

1010.3933

N. E. J. Bjerrum-Bohr

N.E.J. Bjerrum-Bohr, Poul H. Damgaard, Thomas Sondergaard, Pierre Vanhove

The Momentum Kernel of Gauge and Gravity Theories

19 pages, 1 figure

JHEP 1101:001,2011

10.1007/JHEP01(2011)001

IPHT-T10/14, IHES/P/10/45

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We derive an explicit formula for factorizing an $n$-point closed string amplitude into open string amplitudes. Our results are phrased in terms of a momentum kernel which in the limit of infinite string tension reduces to the corresponding field theory kernel. The same momentum kernel encodes the monodromy relations which lead to the minimal basis of color-ordered amplitudes in Yang-Mills theory. There are interesting consequences of the momentum kernel pertaining to soft limits of amplitudes. We also comment on surprising links between gravity and certain combinations of kinematic and color factors in gauge theory.

[ { "created": "Tue, 19 Oct 2010 14:37:56 GMT", "version": "v1" } ]

2011-01-27

[ [ "Bjerrum-Bohr", "N. E. J.", "" ], [ "Damgaard", "Poul H.", "" ], [ "Sondergaard", "Thomas", "" ], [ "Vanhove", "Pierre", "" ] ]

We derive an explicit formula for factorizing an $n$-point closed string amplitude into open string amplitudes. Our results are phrased in terms of a momentum kernel which in the limit of infinite string tension reduces to the corresponding field theory kernel. The same momentum kernel encodes the monodromy relations which lead to the minimal basis of color-ordered amplitudes in Yang-Mills theory. There are interesting consequences of the momentum kernel pertaining to soft limits of amplitudes. We also comment on surprising links between gravity and certain combinations of kinematic and color factors in gauge theory.

9.235005

8.827387

9.711122

9.047687

9.158569

8.66744

8.633637

9.112131

9.173167

9.799359

9.288517

9.499372

8.945955

8.87068

9.028444

9.137094

9.223819

9.245587

9.136256

9.493678

9.030836

hep-th/0411097

Kuperstein Stanislav

S. Kuperstein

Meson spectroscopy from holomorphic probes on the warped deformed conifold

22 pages, JHEP style, 2 figures

JHEP 0503:014,2005

10.1088/1126-6708/2005/03/014

TAUP-2789-04

hep-th

null

We study D7 brane probes holomorphically embedded in the Klebanov-Strassler model. Analyzing the $\kappa$-symmetry condition for D7 branes wrapping a 4-cycle of a deformed conifold we find configurations that do not break N=1 supersymmetry of the background. We compute the fluctuations of the probe around one of these configurations and obtain the spectrum of vector and scalar flavored mesons in the dual gauge theory. The spectrum is discrete and exhibits a mass gap.

[ { "created": "Tue, 9 Nov 2004 18:00:34 GMT", "version": "v1" } ]

2009-08-18

[ [ "Kuperstein", "S.", "" ] ]

We study D7 brane probes holomorphically embedded in the Klebanov-Strassler model. Analyzing the $\kappa$-symmetry condition for D7 branes wrapping a 4-cycle of a deformed conifold we find configurations that do not break N=1 supersymmetry of the background. We compute the fluctuations of the probe around one of these configurations and obtain the spectrum of vector and scalar flavored mesons in the dual gauge theory. The spectrum is discrete and exhibits a mass gap.

6.727602

5.633291

7.596597

5.365126

5.52705

5.119472

5.462505

5.426335

5.869086

6.963881

5.71721

5.533922

6.586289

5.889954

5.774849

5.671587

5.789692

5.551755

5.8603

6.712415

5.618461

hep-th/9608141

Frank Antonsen

Frank Antonsen, Karsten Bormann

Propagators in Curved Space

standard LaTeX, 34 pages

null

hep-th

null

We demonstrate how to obtain explicitly the propagators for quantum fields residing in curved space-time using the heat kernel for which a new construction procedure exists. Propagators are determined for the case of Rindler, Friedman-Robertson-Walker, Schwarzschild and general conformally flat metrics, both for scalar, Dirac and Yang-Mills fields. The calculations are based on an improved formula for the heat kernel in a general curved space. All the calculations are done in $d=4$ dimensions for concreteness, but are easily generalizable to arbitrary $d$. The new method advocated here does not assume that the fields are massive, nor is it based on an aymptotic expansion as such. Whenever possible, the results are compared to that of other authors.

[ { "created": "Wed, 21 Aug 1996 09:16:54 GMT", "version": "v1" } ]

2016-09-06

[ [ "Antonsen", "Frank", "" ], [ "Bormann", "Karsten", "" ] ]

We demonstrate how to obtain explicitly the propagators for quantum fields residing in curved space-time using the heat kernel for which a new construction procedure exists. Propagators are determined for the case of Rindler, Friedman-Robertson-Walker, Schwarzschild and general conformally flat metrics, both for scalar, Dirac and Yang-Mills fields. The calculations are based on an improved formula for the heat kernel in a general curved space. All the calculations are done in $d=4$ dimensions for concreteness, but are easily generalizable to arbitrary $d$. The new method advocated here does not assume that the fields are massive, nor is it based on an aymptotic expansion as such. Whenever possible, the results are compared to that of other authors.

10.085234

10.208727

9.314996

9.23461

9.611089

10.366126

10.324891

9.751706

9.692554

9.5496

9.41339

9.526628

9.286552

9.394843

9.379618

9.373698

9.445687

9.192703

9.44405

9.328775

9.222675

1512.07626

Nikita G. Misuna

V.E. Didenko, N.G. Misuna, M.A. Vasiliev

Charges in nonlinear higher-spin theory

23 pages; V3: typos corrected; references and acknowledgement added; example of the topological contribution to spin-4 charge added; new Section 3.1 added establishing relation of our construction for asymptotic charges with the canonical one. Version published in JHEP

JHEP 03 (2017) 164

10.1007/JHEP03(2017)164

FIAN/TD/2015-19

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Nonlinear higher-spin equations in four dimensions admit a closed two-form that defines a gauge-invariant global charge as an integral over a two-dimensional cycle. In this paper we argue that this charge gives rise to partitions depending on various lower- and higher-spin chemical potentials identified with modules of topological fields in the theory. The vacuum contribution to the partition is calculated to the first nontrivial order for a solution to higher-spin equations that generalizes AdS4 Kerr black hole of General Relativity. The resulting partition is non-zero being in parametric agreement with the ADM-like behavior of a rotating source. The linear response of chemical potentials to the partition function is also extracted. The explicit unfolded form of 4d GR black holes is given. An explicit formula relating asymptotic higher-spin charges expressed in terms of the generalized higher-spin Weyl tensor with those expressed in terms of Fronsdal fields is obtained.

[ { "created": "Wed, 23 Dec 2015 20:54:06 GMT", "version": "v1" }, { "created": "Sun, 18 Sep 2016 23:50:23 GMT", "version": "v2" }, { "created": "Wed, 29 Mar 2017 15:20:54 GMT", "version": "v3" } ]

2017-04-04

[ [ "Didenko", "V. E.", "" ], [ "Misuna", "N. G.", "" ], [ "Vasiliev", "M. A.", "" ] ]

Nonlinear higher-spin equations in four dimensions admit a closed two-form that defines a gauge-invariant global charge as an integral over a two-dimensional cycle. In this paper we argue that this charge gives rise to partitions depending on various lower- and higher-spin chemical potentials identified with modules of topological fields in the theory. The vacuum contribution to the partition is calculated to the first nontrivial order for a solution to higher-spin equations that generalizes AdS4 Kerr black hole of General Relativity. The resulting partition is non-zero being in parametric agreement with the ADM-like behavior of a rotating source. The linear response of chemical potentials to the partition function is also extracted. The explicit unfolded form of 4d GR black holes is given. An explicit formula relating asymptotic higher-spin charges expressed in terms of the generalized higher-spin Weyl tensor with those expressed in terms of Fronsdal fields is obtained.

15.94416

17.973888

17.807766

15.48205

17.289129

18.38777

17.979727

16.477839

16.562231

18.691544

16.357868

15.710963

16.509245

15.108846

15.426225

15.396444

15.077153

15.503965

15.405771

16.373205

15.361827

1512.04401

Aurelio Romero-Berm\'udez

Antonio M. Garc\'ia-Garc\'ia and Aurelio Romero-Berm\'udez

Drude weight and Mazur-Suzuki bounds in holography

37 pages, 6 figures

Phys. Rev. D 93, 066015 (2016)

10.1103/PhysRevD.93.066015

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We investigate the Drude weight and the related Mazur-Suzuki (MS) bound in a broad variety of strongly coupled field theories with a gravity dual at finite temperature and chemical potential. We revisit the derivation of the recently proposed universal expression for the Drude weight for Einstein-Maxwell-dilaton (EMd) theories and extend it to the case of theories with multiple massless gauge fields. We show that the MS bound, which in the context of condensed matter provides information on the integrability of the theory, is saturated in these holographic theories including R-charged backgrounds. We then explore the limits of this universality by studying EMd theories with $U(1)$ spontaneous symmetry breaking and gravity duals of non-relativistic field theories including an asymptotically Lifshitz EMd model with two massless gauge fields and the Einstein-Proca model. In all these cases, the Drude weight, computed analytically, deviates from the universal result and the MS bound is not saturated. In general it is not possible to deduce the low temperature dependence of the Drude weight by simple dimensional analysis. Finally we study the effect of a weak breaking of translational symmetry by coupling the EMd action, with and without $U(1)$ spontaneous symmetry breaking, to an axion field. We show the coherent part of the conductivity in this limit is simply the product of the MS bound and the scattering time obtained from the leading quasinormal mode. For asymptotically $AdS$ theories it seems that the MS bound sets a lower bound on the DC conductivity for a given scattering time.

[ { "created": "Mon, 14 Dec 2015 16:45:55 GMT", "version": "v1" } ]

2016-04-06

[ [ "García-García", "Antonio M.", "" ], [ "Romero-Bermúdez", "Aurelio", "" ] ]

We investigate the Drude weight and the related Mazur-Suzuki (MS) bound in a broad variety of strongly coupled field theories with a gravity dual at finite temperature and chemical potential. We revisit the derivation of the recently proposed universal expression for the Drude weight for Einstein-Maxwell-dilaton (EMd) theories and extend it to the case of theories with multiple massless gauge fields. We show that the MS bound, which in the context of condensed matter provides information on the integrability of the theory, is saturated in these holographic theories including R-charged backgrounds. We then explore the limits of this universality by studying EMd theories with $U(1)$ spontaneous symmetry breaking and gravity duals of non-relativistic field theories including an asymptotically Lifshitz EMd model with two massless gauge fields and the Einstein-Proca model. In all these cases, the Drude weight, computed analytically, deviates from the universal result and the MS bound is not saturated. In general it is not possible to deduce the low temperature dependence of the Drude weight by simple dimensional analysis. Finally we study the effect of a weak breaking of translational symmetry by coupling the EMd action, with and without $U(1)$ spontaneous symmetry breaking, to an axion field. We show the coherent part of the conductivity in this limit is simply the product of the MS bound and the scattering time obtained from the leading quasinormal mode. For asymptotically $AdS$ theories it seems that the MS bound sets a lower bound on the DC conductivity for a given scattering time.

7.157194

7.626741

8.23972

6.988084

7.453964

7.415441

6.781564

7.12931

6.874418

8.436563

6.94473

6.87322

7.031076

6.896078

6.768916

6.977277

6.792377

7.005236

6.677864

7.127479

6.750228

2109.02996

Ashis Saha

Ashis Saha, Sunandan Gangopadhyay and Jyoti Prasad Saha

Mutual information, islands in black holes and the Page curve

v1: 5 pages LaTex and 1 figure, v2: 9 pages Latex and 1 figure, v3: Additional comments have been added, to appear in EPJC

European Physical Journal C 82, 476 (2022)

10.1140/epjc/s10052-022-10426-6

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The role played by the mutual information of subsystems on the Page curve is explored in this paper. With the total system consisting of the black hole and radiation, together with the inclusion of island, we observe that the vanishing of mutual information between $B_+$ and $B_-$ which in turn means the disconnected phase of the entanglement wedge corresponding to $B_+\cup B_-$, yields a time scale of the order of scrambling time. This results in a time independent expression for the fine grained entropy of Hawking radiation consistent with the correct Page curve. We also find corrections to this entropy and Page time which are logarithmic and inverse power law in form.

[ { "created": "Tue, 7 Sep 2021 11:16:12 GMT", "version": "v1" }, { "created": "Thu, 24 Feb 2022 06:15:28 GMT", "version": "v2" }, { "created": "Mon, 16 May 2022 13:58:40 GMT", "version": "v3" } ]

2022-05-25

[ [ "Saha", "Ashis", "" ], [ "Gangopadhyay", "Sunandan", "" ], [ "Saha", "Jyoti Prasad", "" ] ]

The role played by the mutual information of subsystems on the Page curve is explored in this paper. With the total system consisting of the black hole and radiation, together with the inclusion of island, we observe that the vanishing of mutual information between $B_+$ and $B_-$ which in turn means the disconnected phase of the entanglement wedge corresponding to $B_+\cup B_-$, yields a time scale of the order of scrambling time. This results in a time independent expression for the fine grained entropy of Hawking radiation consistent with the correct Page curve. We also find corrections to this entropy and Page time which are logarithmic and inverse power law in form.

12.238628

8.927503

11.882366

9.382194

9.818015

9.247186

9.416807

9.495707

8.967874

11.992198

9.629971

10.937111

11.200946

10.335331

10.153678

10.702703

10.497231

10.679826

10.687276

10.868102

10.769452

1301.6368

Michel Pleimling

Nickolas Gray, Djordje Minic, and Michel Pleimling

On non-equilibrium physics and string theory

29 pages, one figure, invited review article to appear in Int. J. Mod. Phys. A

Int. J. Mod. Phys. A 28, 1330009 (2013)

10.1142/S0217751X13300093

null

hep-th cond-mat.stat-mech

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this article we review the relation between string theory and non-equilibrium physics based on our previously published work. First we explain why a theory of quantum gravity and non-equilibrium statistical physics should be related in the first place. Then we present the necessary background from the recent research in non-equilibrium physics. The review discusses the relationship of string theory and aging phenomena, as well as the connection between AdS/CFT correspondence and the Jarzynski identity. We also discuss the emergent symmetries in fully developed turbulence and the corresponding non-equilibrium stationary states. Finally we outline a larger picture regarding the relationship between non-perturbative quantum gravity and non-equilibrium statistical physics. This relationship can be understood as a natural generalization of the well-known Wilsonian relation between local quantum field theory and equilibrium statistical physics of critical phenomena. According to this picture the AdS/CFT duality is just an example of a more general connection between non-perturbative quantum gravity and non-equilibrium physics. In the appendix of this review we discuss a new kind of complementarity between thermodynamics and statistical physics which should be important in the context of black hole complementarity.

[ { "created": "Sun, 27 Jan 2013 15:46:12 GMT", "version": "v1" } ]

2013-03-18

[ [ "Gray", "Nickolas", "" ], [ "Minic", "Djordje", "" ], [ "Pleimling", "Michel", "" ] ]

In this article we review the relation between string theory and non-equilibrium physics based on our previously published work. First we explain why a theory of quantum gravity and non-equilibrium statistical physics should be related in the first place. Then we present the necessary background from the recent research in non-equilibrium physics. The review discusses the relationship of string theory and aging phenomena, as well as the connection between AdS/CFT correspondence and the Jarzynski identity. We also discuss the emergent symmetries in fully developed turbulence and the corresponding non-equilibrium stationary states. Finally we outline a larger picture regarding the relationship between non-perturbative quantum gravity and non-equilibrium statistical physics. This relationship can be understood as a natural generalization of the well-known Wilsonian relation between local quantum field theory and equilibrium statistical physics of critical phenomena. According to this picture the AdS/CFT duality is just an example of a more general connection between non-perturbative quantum gravity and non-equilibrium physics. In the appendix of this review we discuss a new kind of complementarity between thermodynamics and statistical physics which should be important in the context of black hole complementarity.

6.637354

6.593369

7.033056

6.592313

6.395362

6.820117

7.020566

6.439994

6.439661

7.162681

6.511634

6.347173

6.517998

6.370891

6.4064

6.335756

6.411902

6.411865

6.476446

6.669603

6.357253

hep-th/0205120

Olkhov

O. A. Olkhov

Topological interpretation of Dirac equation and geometrisation of electromagnetic field

9 pages, LaTex, Contibution to Proceedings of the XXIV International Workshop on the Fundamental Problems of High Energy Physics and Field Theory, 27-29 June, Protvino, Russia

null

hep-th

null

A new concept of geometrization of electromagnetic field is proposed. Instead of the concept of extended field and its point sources, the interacting Maxwellian and Dirac electron--positron fields are considered as a microscopic unified closed connected nonmetrized space--time 4-manifold. Within this approach, the Dirac equation proves to be a group-theoretic relation that accounts for the topological and metric properties of this manifold. The Dirac spinors serve as basis functions of its fundamental group representation, while the tensor components of electromagnetic field prove to be the components of a curvature tensor of the relevant covering space. A basic distinction of the suggested approach from the geometrization of gravitational field in general relativity is that, first, not only the field is geometrized but also are its microscopic sources and, second, the field and its sources are treated not as a metrized Riemannian space--time but as a nonmetrized space-- time manifold. A possibility to geometrize weak interaction is also discussed.

[ { "created": "Mon, 13 May 2002 17:31:18 GMT", "version": "v1" } ]

2007-05-23

[ [ "Olkhov", "O. A.", "" ] ]

A new concept of geometrization of electromagnetic field is proposed. Instead of the concept of extended field and its point sources, the interacting Maxwellian and Dirac electron--positron fields are considered as a microscopic unified closed connected nonmetrized space--time 4-manifold. Within this approach, the Dirac equation proves to be a group-theoretic relation that accounts for the topological and metric properties of this manifold. The Dirac spinors serve as basis functions of its fundamental group representation, while the tensor components of electromagnetic field prove to be the components of a curvature tensor of the relevant covering space. A basic distinction of the suggested approach from the geometrization of gravitational field in general relativity is that, first, not only the field is geometrized but also are its microscopic sources and, second, the field and its sources are treated not as a metrized Riemannian space--time but as a nonmetrized space-- time manifold. A possibility to geometrize weak interaction is also discussed.

9.789348

8.889803

10.683441

9.422524

10.095299

9.161496

10.546255

9.375499

9.069228

10.744807

9.233775

8.949383

9.62106

9.407716

9.405846

9.388477

9.637443

8.907855

9.066119

9.553567

9.297514

hep-th/0201080

null

F. Cannata (Bologna), M. V. Ioffe (St.Petersburg), D. N. Nishnianidze (St.Petersburg and Kutaisi)

New Methods for Two-Dimensional Schr\"odinger Equation: SUSY-separation of Variables and Shape Invariance

25 pages, Latex, Journal of Physics A, to be published

J.Phys.A35:1389-1404,2002

10.1088/0305-4470/35/6/305

null

hep-th math-ph math.MP nlin.SI quant-ph

null

Two new methods for investigation of two-dimensional quantum systems, whose Hamiltonians are not amenable to separation of variables, are proposed. 1)The first one - $SUSY-$ separation of variables - is based on the intertwining relations of Higher order SUSY Quantum Mechanics (HSUSY QM) with supercharges allowing for separation of variables. 2)The second one is a generalization of shape invariance. While in one dimension shape invariance allows to solve algebraically a class of (exactly solvable) quantum problems, its generalization to higher dimensions has not been yet explored. Here we provide a formal framework in HSUSY QM for two-dimensional quantum mechanical systems for which shape invariance holds. Given the knowledge of one eigenvalue and eigenfunction, shape invariance allows to construct a chain of new eigenfunctions and eigenvalues. These methods are applied to a two-dimensional quantum system, and partial explicit solvability is achieved in the sense that only part of the spectrum is found analytically and a limited set of eigenfunctions is constructed explicitly.

[ { "created": "Sun, 13 Jan 2002 16:16:33 GMT", "version": "v1" } ]

2008-11-26

[ [ "Cannata", "F.", "", "Bologna" ], [ "Ioffe", "M. V.", "", "St.Petersburg" ], [ "Nishnianidze", "D. N.", "", "St.Petersburg and Kutaisi" ] ]

Two new methods for investigation of two-dimensional quantum systems, whose Hamiltonians are not amenable to separation of variables, are proposed. 1)The first one - $SUSY-$ separation of variables - is based on the intertwining relations of Higher order SUSY Quantum Mechanics (HSUSY QM) with supercharges allowing for separation of variables. 2)The second one is a generalization of shape invariance. While in one dimension shape invariance allows to solve algebraically a class of (exactly solvable) quantum problems, its generalization to higher dimensions has not been yet explored. Here we provide a formal framework in HSUSY QM for two-dimensional quantum mechanical systems for which shape invariance holds. Given the knowledge of one eigenvalue and eigenfunction, shape invariance allows to construct a chain of new eigenfunctions and eigenvalues. These methods are applied to a two-dimensional quantum system, and partial explicit solvability is achieved in the sense that only part of the spectrum is found analytically and a limited set of eigenfunctions is constructed explicitly.

7.893246

6.701897

9.156336

6.911808

7.659255

7.433109

7.46311

7.158843

7.255069

8.690475

6.970613

7.436974

7.693851

7.439261

7.730892

7.307553

7.483123

7.464575

7.462563

7.85726

7.271058

hep-th/9807171

Riccardo Argurio

Brane Physics in M-theory

206 pages, Latex (three times), no figures. PhD thesis (Universite Libre de Bruxelles). One reference modified

null

ULB-TH-98/15

hep-th

null

The thesis begins with an introduction to M-theory (at a graduate student's level), starting from perturbative string theory and proceeding to dualities, D-branes and finally Matrix theory. The following chapter treats, in a self-contained way, of general classical p-brane solutions. Black and extremal branes are reviewed, along with their semi-classical thermodynamics. We then focus on intersecting extremal branes, the intersection rules being derived both with and without the explicit use of supersymmetry. The last three chapters comprise more advanced aspects of brane physics, such as the dynamics of open branes, the little theories on the world-volume of branes and how the four dimensional Schwarzschild black hole can be mapped to an extremal configuration of branes, thus allowing for a statistical interpretation of its entropy. The original results were already reported in hep-th/9701042, hep-th/9704190, hep-th/9710027 and hep-th/9801053.

[ { "created": "Wed, 22 Jul 1998 16:38:56 GMT", "version": "v1" }, { "created": "Thu, 3 Sep 1998 15:52:44 GMT", "version": "v2" } ]

2007-05-23

[ [ "Argurio", "Riccardo", "" ] ]

The thesis begins with an introduction to M-theory (at a graduate student's level), starting from perturbative string theory and proceeding to dualities, D-branes and finally Matrix theory. The following chapter treats, in a self-contained way, of general classical p-brane solutions. Black and extremal branes are reviewed, along with their semi-classical thermodynamics. We then focus on intersecting extremal branes, the intersection rules being derived both with and without the explicit use of supersymmetry. The last three chapters comprise more advanced aspects of brane physics, such as the dynamics of open branes, the little theories on the world-volume of branes and how the four dimensional Schwarzschild black hole can be mapped to an extremal configuration of branes, thus allowing for a statistical interpretation of its entropy. The original results were already reported in hep-th/9701042, hep-th/9704190, hep-th/9710027 and hep-th/9801053.

8.796543

9.115867

10.150336

9.154889

8.862103

9.065669

9.320045

9.755247

8.981892

11.298201

9.018389

8.679998

9.383267

8.989709

8.935018

8.951026

8.913651

8.884321

9.149776

9.344698

8.935497

hep-th/9701087

Dr N. Mavromatos

I.J.R. Aitchison, N.E. Mavromatos, D. Mc Neill

Inverse Landau-Khalatnikov Transformation and Infrared Critical Exponents of (2+1)-dimensional Quantum Electrodynamics

13 pages LATEX, 1 Figure (included automatically)

Phys.Lett. B402 (1997) 154-158

10.1016/S0370-2693(97)00447-4

OUTP-96-76-P

hep-th cond-mat

null

By applying an inverse Landau-Khalatnikov transformation, connecting (resummed) Schwinger-Dyson treatments in non-local and Landau gauges of $QED_3$, we derive the infrared behaviour of the wave-function renormalization in the Landau gauge, and the associated critical exponents in the normal phase of the theory (no mass generation). The result agrees with the one conjectured in earlier treatments. The analysis involves an approximation, namely an expansion of the non-local gauge in powers of momenta in the infrared. This approximation is tested by reproducing the critical number of flavours necessary for dynamical mass generation in the chiral-symmetry-broken phase of $QED_3$.

[ { "created": "Fri, 17 Jan 1997 19:46:38 GMT", "version": "v1" } ]

2009-10-30

[ [ "Aitchison", "I. J. R.", "" ], [ "Mavromatos", "N. E.", "" ], [ "Neill", "D. Mc", "" ] ]

By applying an inverse Landau-Khalatnikov transformation, connecting (resummed) Schwinger-Dyson treatments in non-local and Landau gauges of $QED_3$, we derive the infrared behaviour of the wave-function renormalization in the Landau gauge, and the associated critical exponents in the normal phase of the theory (no mass generation). The result agrees with the one conjectured in earlier treatments. The analysis involves an approximation, namely an expansion of the non-local gauge in powers of momenta in the infrared. This approximation is tested by reproducing the critical number of flavours necessary for dynamical mass generation in the chiral-symmetry-broken phase of $QED_3$.

10.145626

8.236348

9.059391

8.847776

8.947962

9.824288

10.22664

9.528447

8.593689

9.875453

9.382815

9.217529

9.262996

9.275155

9.577211

9.623964

9.359952

9.396016

9.322481

9.366006

9.304202

hep-th/0406093

Sebastian de Haro

Sebastian de Haro, Miguel Tierz

Brownian Motion, Chern-Simons Theory, and 2d Yang-Mills

12 pages, v2: typos corrected, reference added

Phys.Lett. B601 (2004) 201-208

10.1016/j.physletb.2004.09.033

AEI-2004-044

hep-th cond-mat.stat-mech math-ph math.MP

null

We point out a precise connection between Brownian motion, Chern-Simons theory on S^3, and 2d Yang-Mills theory on the cylinder. The probability of reunion for N vicious walkers on a line gives the partition function of Chern-Simons theory on S^3 with gauge group U(N). The probability of starting with an equal-spacing condition and ending up with a generic configuration of movers gives the expectation value of the unknot. The probability with arbitrary initial and final states corresponds to the expectation value of the Hopf link. We find that the matrix model calculation of the partition function is nothing but the additivity law of probabilities. We establish a correspondence between quantities in Brownian motion and the modular S- and T-matrices of the WZW model at finite k and N. Brownian motion probabilitites in the affine chamber of a Lie group are shown to be related to the partition function of 2d Yang-Mills on the cylinder. Finally, the random-turns model of discrete random walks is related to Wilson's plaquette model of 2d QCD, and the latter provides an exact two-dimensional analog of the melting crystal corner. Brownian motion provides a useful unifying framework for understanding various low-dimensional gauge theories.

[ { "created": "Thu, 10 Jun 2004 20:01:42 GMT", "version": "v1" }, { "created": "Tue, 14 Dec 2004 08:44:52 GMT", "version": "v2" } ]

2009-11-10

[ [ "de Haro", "Sebastian", "" ], [ "Tierz", "Miguel", "" ] ]

We point out a precise connection between Brownian motion, Chern-Simons theory on S^3, and 2d Yang-Mills theory on the cylinder. The probability of reunion for N vicious walkers on a line gives the partition function of Chern-Simons theory on S^3 with gauge group U(N). The probability of starting with an equal-spacing condition and ending up with a generic configuration of movers gives the expectation value of the unknot. The probability with arbitrary initial and final states corresponds to the expectation value of the Hopf link. We find that the matrix model calculation of the partition function is nothing but the additivity law of probabilities. We establish a correspondence between quantities in Brownian motion and the modular S- and T-matrices of the WZW model at finite k and N. Brownian motion probabilitites in the affine chamber of a Lie group are shown to be related to the partition function of 2d Yang-Mills on the cylinder. Finally, the random-turns model of discrete random walks is related to Wilson's plaquette model of 2d QCD, and the latter provides an exact two-dimensional analog of the melting crystal corner. Brownian motion provides a useful unifying framework for understanding various low-dimensional gauge theories.

9.604526

10.289918

11.224129

9.00624

9.991394

9.774249

9.842787

9.862701

10.284105

11.13685

10.031244

9.46477

9.659703

9.251497

9.322308

9.598166

9.600076

9.433275

9.257259

9.55067

9.244918

hep-th/9705012

Hitoshi Sato

Non-Perturbative Superpotentials in Landau-Ginzburg Compactification

9 pages, Latex 2.09, no figure

null

OU-HET 263

hep-th alg-geom math.AG

null

We study the Landau-Ginzburg models which correspond to Calabi-Yau four-folds. We construct the index of the typical states which correspond to toric divisors. This index shows that whether a corresponding divisor can generate a non-perturbative superpotential. For an application, we consider the phase transition in terms of the orbifold construction. We obtain the simple method by which the divisor, which can not generate a superpotential in the original theory, can generate a superpotential after orbifoldization.

[ { "created": "Sun, 4 May 1997 11:24:30 GMT", "version": "v1" } ]

2008-02-03

[ [ "Sato", "Hitoshi", "" ] ]

We study the Landau-Ginzburg models which correspond to Calabi-Yau four-folds. We construct the index of the typical states which correspond to toric divisors. This index shows that whether a corresponding divisor can generate a non-perturbative superpotential. For an application, we consider the phase transition in terms of the orbifold construction. We obtain the simple method by which the divisor, which can not generate a superpotential in the original theory, can generate a superpotential after orbifoldization.

11.679131

10.915218

14.088983

10.940759

10.962049

11.013605

10.988748

10.695247

10.696295

13.321317

10.619145

10.707401

12.197927

11.06117

10.67605

10.789976

10.898622

10.831799

11.237916

12.364025

10.764677

hep-th/9912228

N. L. Harshman

Arno R. Bohm, N.L. Harshman and M.J. Mithaiwala

Relativistic Resonances, Relativistic Gamow Vectors and Representations of the Poincare' Semigroup

11 pages, 1 figure. To be published in Proceedings of the International Symposium `Quantum Theory and Symmetries' (Goslar, 18-22 July 1999), H.-D. Doebner, V.K. Dobrev, J.-D. Hennig and W. Luecke, eds

null

hep-th

null

The foundations of time asymmetric quantum theory are reviewed and are applied to the construction of relativistic Gamow vectors. Relativistic Gamow vectors are obtained from the resonance pole of the S-matrix and furnish an irreducible representation of the Poincare' semigroup. They have all the properties needed to represent relativistic quasistable particles and can be used to fix the definition of mass and width of relativistic resonances like the Z-boson. Most remarkably, they have only a semigroup time evolution into the forward light cone---expressing time asymmetry on the microphysical level.

[ { "created": "Wed, 22 Dec 1999 16:57:05 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bohm", "Arno R.", "" ], [ "Harshman", "N. L.", "" ], [ "Mithaiwala", "M. J.", "" ] ]

The foundations of time asymmetric quantum theory are reviewed and are applied to the construction of relativistic Gamow vectors. Relativistic Gamow vectors are obtained from the resonance pole of the S-matrix and furnish an irreducible representation of the Poincare' semigroup. They have all the properties needed to represent relativistic quasistable particles and can be used to fix the definition of mass and width of relativistic resonances like the Z-boson. Most remarkably, they have only a semigroup time evolution into the forward light cone---expressing time asymmetry on the microphysical level.

11.837627

11.664598

13.105292

11.714754

11.281871

10.238198

12.126027

10.839249

10.252759

13.927982

10.895434

11.472875

10.993055

10.675515

10.659914

10.960249

10.729616

11.24668

10.321751

10.96898

10.941461

0812.3761

Harold Steinacker

Covariant Field Equations, Gauge Fields and Conservation Laws from Yang-Mills Matrix Models

31 pages. V2: minor corrections, references added

JHEP 0902:044,2009

10.1088/1126-6708/2009/02/044

UWTHPh-2008-20

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The effective geometry and the gravitational coupling of nonabelian gauge and scalar fields on generic NC branes in Yang-Mills matrix models is determined. Covariant field equations are derived from the basic matrix equations of motions, known as Yang-Mills algebra. Remarkably, the equations of motion for the Poisson structure and for the nonabelian gauge fields follow from a matrix Noether theorem, and are therefore protected from quantum corrections. This provides a transparent derivation and generalization of the effective action governing the SU(n) gauge fields obtained in [1], including the would-be topological term. In particular, the IKKT matrix model is capable of describing 4-dimensional NC space-times with a general effective metric. Metric deformations of flat Moyal-Weyl space are briefly discussed.

[ { "created": "Fri, 19 Dec 2008 14:52:10 GMT", "version": "v1" }, { "created": "Sun, 4 Jan 2009 13:53:13 GMT", "version": "v2" } ]

2010-08-12

[ [ "Steinacker", "Harold", "" ] ]

The effective geometry and the gravitational coupling of nonabelian gauge and scalar fields on generic NC branes in Yang-Mills matrix models is determined. Covariant field equations are derived from the basic matrix equations of motions, known as Yang-Mills algebra. Remarkably, the equations of motion for the Poisson structure and for the nonabelian gauge fields follow from a matrix Noether theorem, and are therefore protected from quantum corrections. This provides a transparent derivation and generalization of the effective action governing the SU(n) gauge fields obtained in [1], including the would-be topological term. In particular, the IKKT matrix model is capable of describing 4-dimensional NC space-times with a general effective metric. Metric deformations of flat Moyal-Weyl space are briefly discussed.

11.840741

12.5662

13.810046

12.473478

13.091683

13.759141

12.308034

13.179466

13.22915

15.753724

12.252324

11.618175

12.193818

11.761342

11.829685

11.327112

11.784401

11.535447

12.440083

12.387547

11.794814

0711.0825

Arjun Berera

A. Berera (Edinburgh), D. Hochberg (CAB, Madrid)

Gauge symmetry and Slavnov-Taylor identities for randomly stirred fluids

5 pages, no figures, In Press Physical Review Letters, 2007

Phys.Rev.Lett.99:254501,2007

10.1103/PhysRevLett.99.254501

null

hep-th cond-mat.stat-mech hep-lat hep-ph physics.flu-dyn

null

The path integral for randomly forced incompressible fluids is shown to have an underlying Becchi-Rouet-Stora (BRS) symmetry as a consequence of Galilean invariance. This symmetry must be respected to have a consistent generating functional, free from both an overall infinite factor and spurious relations amongst correlation functions. We present a procedure for respecting this BRS symmetry, akin to gauge fixing in quantum field theory. Relations are derived between correlation functions of this gauge fixed, BRS symmetric theory, analogous to the Slavnov-Taylor identities of quantum field theory.

[ { "created": "Tue, 6 Nov 2007 10:07:26 GMT", "version": "v1" } ]

2009-02-10

[ [ "Berera", "A.", "", "Edinburgh" ], [ "Hochberg", "D.", "", "CAB, Madrid" ] ]

The path integral for randomly forced incompressible fluids is shown to have an underlying Becchi-Rouet-Stora (BRS) symmetry as a consequence of Galilean invariance. This symmetry must be respected to have a consistent generating functional, free from both an overall infinite factor and spurious relations amongst correlation functions. We present a procedure for respecting this BRS symmetry, akin to gauge fixing in quantum field theory. Relations are derived between correlation functions of this gauge fixed, BRS symmetric theory, analogous to the Slavnov-Taylor identities of quantum field theory.

8.689963

8.442872

9.320094

8.15512

8.683334

8.826756

8.192121

8.558084

9.019108

9.026589

8.384733

8.788913

8.428363

8.44264

8.531442

8.401293

8.528423

8.630211

8.598727

8.703026

8.254113

hep-th/0205124

Jian-zu Zhang

Testing Abelian dyon - fermion Bound System

13 pages. Phys. Lett. B (in press)

Phys.Lett. B532 (2002) 215-221

10.1016/S0370-2693(02)01535-6

null

hep-th quant-ph

null

Characteristics of Abelian dyon - fermion bound system, parity - violating effects, a new series of energy spectra, effects related to the non - vanishing electric dipole moment, feature of spin orientation etc, are analyzed and compared with hydrogen - like atom. These analyses explore possibility of a new approach of searching for dyons under bound condition.

[ { "created": "Tue, 14 May 2002 09:30:54 GMT", "version": "v1" } ]

2009-11-07

[ [ "Zhang", "Jian-zu", "" ] ]

Characteristics of Abelian dyon - fermion bound system, parity - violating effects, a new series of energy spectra, effects related to the non - vanishing electric dipole moment, feature of spin orientation etc, are analyzed and compared with hydrogen - like atom. These analyses explore possibility of a new approach of searching for dyons under bound condition.

40.52536

43.886066

38.060658

33.954887

34.989357

37.466106

36.356293

37.288548

38.014648

35.603519

36.409069

32.760666

32.842583

33.343365

33.194752

32.043655

33.235344

31.743996

33.066631

33.012421

34.398968

2404.13107

Viola Gattus

Viola Gattus and Apostolos Pilaftsis

Supergeometric Approach to Quantum Field Theory

13 pages, Proceedings to Corfu Summer Institute 2023 (27 August - 1 October 2023, Corfu, Greece)

null

hep-th hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We review a recently proposed SuperGeometric (SG) approach to Quantum Field Theories (QFTs) that allow for scalar-fermion field transformations in a manifestly reparameterisation covariant manner. By adopting natural choices for the field-space supermetric, we show how a non-trivial field-space Riemannian curvature can be introduced in the fermionic sector, beyond the usual one that may have its origin in the scalar part of the theory. We present a minimal SG-QFT model with proper non-zero fermionic curvature both in two and four spacetime dimensions. Possible future directions in further developing SG-QFTs are discussed.

[ { "created": "Fri, 19 Apr 2024 15:53:51 GMT", "version": "v1" } ]

2024-04-23

[ [ "Gattus", "Viola", "" ], [ "Pilaftsis", "Apostolos", "" ] ]

We review a recently proposed SuperGeometric (SG) approach to Quantum Field Theories (QFTs) that allow for scalar-fermion field transformations in a manifestly reparameterisation covariant manner. By adopting natural choices for the field-space supermetric, we show how a non-trivial field-space Riemannian curvature can be introduced in the fermionic sector, beyond the usual one that may have its origin in the scalar part of the theory. We present a minimal SG-QFT model with proper non-zero fermionic curvature both in two and four spacetime dimensions. Possible future directions in further developing SG-QFTs are discussed.

12.188058

9.602147

11.731734

10.472639

10.695119

9.927485

10.09403

10.40357

10.673107

12.787746

11.196863

11.657101

11.351484

11.505614

11.702641

11.381161

11.443387

11.662924

11.1851

11.85316

11.578703

0806.3513

Tapobrata Sarkar

Tapobrata Sarkar, Gautam Sengupta, Bhupendra Nath Tiwari

Thermodynamic Geometry and Extremal Black Holes in String Theory

1 + 33 pages, LaTeX, 4 eps figures

JHEP0810:076,2008

10.1088/1126-6708/2008/10/076

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study a generalisation of thermodynamic geometry to degenerate quantum ground states at zero temperatures exemplified by charged extremal black holes in type II string theories. Several examples of extremal charged black holes with non degenerate thermodynamic geometries and finite but non zero state space scalar curvatures are established. These include black holes described by D1-D5-P and D2-D6-NS5-P brane systems and also two charged small black holes in Type II string theories. We also explore the modifications to the state space geometry and the scalar curvature due to the higher derivative contributions and string loop corrections as well as an exact entropy expression from quantum information theory. Our construction describes state space geometries arising out of a possible limiting thermodynamic characterisation of degenerate quantum ground states at zero temperatures.

[ { "created": "Mon, 23 Jun 2008 08:34:34 GMT", "version": "v1" } ]

2008-11-26

[ [ "Sarkar", "Tapobrata", "" ], [ "Sengupta", "Gautam", "" ], [ "Tiwari", "Bhupendra Nath", "" ] ]

We study a generalisation of thermodynamic geometry to degenerate quantum ground states at zero temperatures exemplified by charged extremal black holes in type II string theories. Several examples of extremal charged black holes with non degenerate thermodynamic geometries and finite but non zero state space scalar curvatures are established. These include black holes described by D1-D5-P and D2-D6-NS5-P brane systems and also two charged small black holes in Type II string theories. We also explore the modifications to the state space geometry and the scalar curvature due to the higher derivative contributions and string loop corrections as well as an exact entropy expression from quantum information theory. Our construction describes state space geometries arising out of a possible limiting thermodynamic characterisation of degenerate quantum ground states at zero temperatures.

15.577316

13.880478

16.13904

13.961636

14.304828

14.276885

14.335888

13.957062

13.879555

16.391754

13.497272

13.992167

15.375205

13.808771

14.48356

14.273996

14.35113

14.04165

14.083992

14.642919

13.873878

1706.07000

Ariunzul Davgadorj

Ariunzul Davgadorj, Rikard von Unge

$\mathcal{N} = 2$ super Yang-Mills theory in Projective Superspace

null

Phys. Rev. D 97, 105017 (2018)

10.1103/PhysRevD.97.105017

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We find a formulation of $\mathcal{N}=2$ supersymmetric Yang-Mills theory in Projective superspace. In particular we find an expression for the field strength in terms of an unconstrained prepotential which is desirable when quantizing the theory. We use this to write the action in terms of the prepotential and show that it reduces to the known result in the abelian limit.

[ { "created": "Wed, 21 Jun 2017 16:47:55 GMT", "version": "v1" }, { "created": "Fri, 25 May 2018 17:24:45 GMT", "version": "v2" } ]

2018-05-28

[ [ "Davgadorj", "Ariunzul", "" ], [ "von Unge", "Rikard", "" ] ]

We find a formulation of $\mathcal{N}=2$ supersymmetric Yang-Mills theory in Projective superspace. In particular we find an expression for the field strength in terms of an unconstrained prepotential which is desirable when quantizing the theory. We use this to write the action in terms of the prepotential and show that it reduces to the known result in the abelian limit.

6.48559

5.479024

6.076874

5.496016

5.619651

5.599471

5.946877

5.369668

5.692949

6.226854

5.040829

5.499415

5.866271

5.653424

5.778607

5.585967

5.594553

5.481424

5.713671

5.853641

5.319548

hep-th/0402009

Yu Nakayama

Liouville Field Theory -- A decade after the revolution

264 pages, 31 figures, based on master's thesis defended 31/01/2004, v2,3,4,5,6,7: references added, typos corrected, abridged version published in IJMPA

Int.J.Mod.Phys.A19:2771-2930,2004

10.1142/S0217751X04019500

UT-04-02

hep-th

null

We review recent developments (up to January 2004) of the Liouville field theory and its matrix model dual. This review consists of three parts. In part I, we review the bosonic Liouville theory. After briefly reviewing the necessary background, we discuss the bulk structure constants (the DOZZ formula) and the boundary states (the FZZT brane and the ZZ brane). Various applications are also presented. In part II, we review the supersymmetric extension of the Liouville theory. We first discuss the bulk structure constants and the branes as in the bosonic Liouville theory, and then we present the matrix dual descriptions with some applications. In part III, the Liouville theory on unoriented surfaces is reviewed. After introducing the crosscap state, we discuss the matrix model dual description and the tadpole cancellation condition. This review also includes some original material such as the derivation of the conjectured dual action for the N = 2 Liouville theory from other known dualities and the comparison of the Liouville crosscap state with the c = 0 unoriented matrix model. This is based on my master's thesis submitted to Department of Physics, Faculty of Science, University of Tokyo on January 2004.

[ { "created": "Mon, 2 Feb 2004 03:05:04 GMT", "version": "v1" }, { "created": "Mon, 9 Feb 2004 13:08:22 GMT", "version": "v2" }, { "created": "Fri, 13 Feb 2004 15:11:23 GMT", "version": "v3" }, { "created": "Fri, 12 Mar 2004 06:26:12 GMT", "version": "v4" }, { "created": "Fri, 21 May 2004 01:51:01 GMT", "version": "v5" }, { "created": "Fri, 27 Aug 2004 02:16:10 GMT", "version": "v6" }, { "created": "Fri, 10 Dec 2004 05:09:32 GMT", "version": "v7" } ]

2011-05-05

[ [ "Nakayama", "Yu", "" ] ]

We review recent developments (up to January 2004) of the Liouville field theory and its matrix model dual. This review consists of three parts. In part I, we review the bosonic Liouville theory. After briefly reviewing the necessary background, we discuss the bulk structure constants (the DOZZ formula) and the boundary states (the FZZT brane and the ZZ brane). Various applications are also presented. In part II, we review the supersymmetric extension of the Liouville theory. We first discuss the bulk structure constants and the branes as in the bosonic Liouville theory, and then we present the matrix dual descriptions with some applications. In part III, the Liouville theory on unoriented surfaces is reviewed. After introducing the crosscap state, we discuss the matrix model dual description and the tadpole cancellation condition. This review also includes some original material such as the derivation of the conjectured dual action for the N = 2 Liouville theory from other known dualities and the comparison of the Liouville crosscap state with the c = 0 unoriented matrix model. This is based on my master's thesis submitted to Department of Physics, Faculty of Science, University of Tokyo on January 2004.

5.227896

4.957021

6.547989

5.062618

5.59867

5.286264

5.152188

5.111228

5.037678

7.332239

5.303968

5.461106

5.938418

5.424335

5.310696

5.270703

5.32844

5.187456

5.239634

5.595138

5.242717

hep-th/0206236

N. E. J. Bjerrum-Bohr

Leading quantum gravitational corrections to scalar QED

14 pages, 33 figures, typos corrected

Phys.Rev. D66 (2002) 084023

10.1103/PhysRevD.66.084023

null

hep-th gr-qc

null

We consider the leading post-Newtonian and quantum corrections to the non-relativistic scattering amplitude of charged scalars in the combined theory of general relativity and scalar QED. The combined theory is treated as an effective field theory. This allows for a consistent quantization of the gravitational field. The appropriate vertex rules are extracted from the action, and the non-analytic contributions to the 1-loop scattering matrix are calculated in the non-relativistic limit. The non-analytical parts of the scattering amplitude, which are known to give the long range, low energy, leading quantum corrections, are used to construct the leading post-Newtonian and quantum corrections to the two-particle non-relativistic scattering matrix potential for two charged scalars. The result is discussed in relation to experimental verifications.

[ { "created": "Wed, 26 Jun 2002 12:39:44 GMT", "version": "v1" }, { "created": "Mon, 7 Oct 2002 21:04:57 GMT", "version": "v2" }, { "created": "Mon, 3 Sep 2007 16:55:46 GMT", "version": "v3" } ]

2009-11-07

[ [ "Bjerrum-Bohr", "N. E. J.", "" ] ]

We consider the leading post-Newtonian and quantum corrections to the non-relativistic scattering amplitude of charged scalars in the combined theory of general relativity and scalar QED. The combined theory is treated as an effective field theory. This allows for a consistent quantization of the gravitational field. The appropriate vertex rules are extracted from the action, and the non-analytic contributions to the 1-loop scattering matrix are calculated in the non-relativistic limit. The non-analytical parts of the scattering amplitude, which are known to give the long range, low energy, leading quantum corrections, are used to construct the leading post-Newtonian and quantum corrections to the two-particle non-relativistic scattering matrix potential for two charged scalars. The result is discussed in relation to experimental verifications.

6.171274

7.649841

5.525362

6.105816

5.170001

5.435559

6.995002

5.253115

7.254954

5.757743

6.41485

6.788713

6.230708

6.154275

6.238786

6.119257

6.648371

6.216794

6.474688

6.209696

6.521814

0905.4373

Jorge Rocha

Jorge V. Rocha

Evaporation of large black holes in AdS: greybody factor and decay rate

20 pages, 2 figures; v2: added references, published version

null

10.1088/1126-6708/2009/08/027

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We consider a massless, minimally coupled scalar field propagating through the geometry of a black 3-brane in an asymptotically $AdS_5 \times S^5$ space. The wave equation for modes traveling purely in the holographic direction reduces to a Heun equation and the corresponding greybody factor is obtained numerically. Approximations valid in the low- and high-frequency regimes are also obtained analytically. The greybody factor is then used to determine the rate of evaporation of these large black holes in the context of the evaporon model proposed in \cite{Rocha:2008fe}. This setting represents the evolution of a black hole under Hawking evaporation with a known CFT dual description and is therefore unitary. Information must then be preserved under this evaporation process.

[ { "created": "Wed, 27 May 2009 10:43:47 GMT", "version": "v1" }, { "created": "Wed, 9 Sep 2009 11:50:39 GMT", "version": "v2" } ]

2015-05-13

[ [ "Rocha", "Jorge V.", "" ] ]

We consider a massless, minimally coupled scalar field propagating through the geometry of a black 3-brane in an asymptotically $AdS_5 \times S^5$ space. The wave equation for modes traveling purely in the holographic direction reduces to a Heun equation and the corresponding greybody factor is obtained numerically. Approximations valid in the low- and high-frequency regimes are also obtained analytically. The greybody factor is then used to determine the rate of evaporation of these large black holes in the context of the evaporon model proposed in \cite{Rocha:2008fe}. This setting represents the evolution of a black hole under Hawking evaporation with a known CFT dual description and is therefore unitary. Information must then be preserved under this evaporation process.

8.231008

8.36998

9.083933

8.364882

8.461864

8.155192

9.240479

7.574802

8.362576

8.506891

8.31327

7.793447

8.182216

7.872744

7.916823

7.784585

7.835827

7.868806

7.958494

8.171015

7.870203

2007.07190

Ian Jack

I. Jack and D.R.T. Jones

Anomalous dimensions for $\phi^n$ in scale invariant $d=3$ theory

25 pages, 8 figures, 4 tables. Uses tikz. Additional references and acknowledgements added. Minor corrections and additions made

Phys. Rev. D 102, 085012 (2020)

10.1103/PhysRevD.102.085012

LTH1239

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Recently it was shown that the scaling dimension of the operator $\phi^n$ in scale-invariant $d=3$ theory may be computed semiclassically, and this was verified to leading order (two loops) in perturbation theory at leading and subleading $n$. Here we extend this verification to six loops, once again at leading and subleading $n$. We then perform a similar exercise for a theory with a multiplet of real scalars and an $O(N)$ invariant hexic interaction. We also investigate the strong-coupling regime for this example.

[ { "created": "Tue, 14 Jul 2020 17:08:45 GMT", "version": "v1" }, { "created": "Thu, 23 Jul 2020 10:57:12 GMT", "version": "v2" }, { "created": "Tue, 15 Sep 2020 07:46:01 GMT", "version": "v3" } ]

2020-10-28

[ [ "Jack", "I.", "" ], [ "Jones", "D. R. T.", "" ] ]

Recently it was shown that the scaling dimension of the operator $\phi^n$ in scale-invariant $d=3$ theory may be computed semiclassically, and this was verified to leading order (two loops) in perturbation theory at leading and subleading $n$. Here we extend this verification to six loops, once again at leading and subleading $n$. We then perform a similar exercise for a theory with a multiplet of real scalars and an $O(N)$ invariant hexic interaction. We also investigate the strong-coupling regime for this example.

9.9446

7.976433

9.705275

8.814739

8.210605

8.543113

8.458756

8.971716

8.730588

10.297966

8.453259

8.94289

9.409549

9.033849

8.769108

8.97457

8.797026

8.901548

8.861677

9.601854

8.682233

1801.06098

Ricardo Renan Landim

G. Alencar, I. C. Jardim and R. R. Landim

$p-$forms non-minimally coupled to gravity in Randall-Sundrum scenarios

28 pages, 13 figures. Accepted for publication in epjc

null

10.1140/epjc/s10052-018-5829-6

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this paper we study the coupling of $p$-form fields with geometrical tensor fields, namely Ricci, Einstein, Horndeski and Riemann in Randall-Sundrum scenarios with co-dimension one. We consider delta-like and branes generated by a kink and a domain wall. We begin by a detailed study of the Kalb-Ramond (KR) field. The analysis of KR field is very rich since it is a tensorial object and more complex non-minimal couplings are possible. The generalization to $p$-forms can provide more information about the properties and structures that can possibly be universal in the geometrical localization mechanism. The zero mode is treated separately and conditions for localization of zero modes of $p-$forms are found for all the cases above and with this we arrive at the above conclusion about vector fields. Another property that can be tested is the absence of resonances found in the case of vector fields. For this we analyze the possible unstable massive modes for all the above cases via transmission coefficient. Our conclusion is that we have more probability to observe massive unstable modes in the Ricci and Riemann coupling.

[ { "created": "Wed, 17 Jan 2018 18:54:00 GMT", "version": "v1" }, { "created": "Tue, 23 Jan 2018 18:30:45 GMT", "version": "v2" }, { "created": "Wed, 24 Jan 2018 17:16:20 GMT", "version": "v3" }, { "created": "Mon, 23 Apr 2018 17:02:09 GMT", "version": "v4" } ]

2018-06-13

[ [ "Alencar", "G.", "" ], [ "Jardim", "I. C.", "" ], [ "Landim", "R. R.", "" ] ]

In this paper we study the coupling of $p$-form fields with geometrical tensor fields, namely Ricci, Einstein, Horndeski and Riemann in Randall-Sundrum scenarios with co-dimension one. We consider delta-like and branes generated by a kink and a domain wall. We begin by a detailed study of the Kalb-Ramond (KR) field. The analysis of KR field is very rich since it is a tensorial object and more complex non-minimal couplings are possible. The generalization to $p$-forms can provide more information about the properties and structures that can possibly be universal in the geometrical localization mechanism. The zero mode is treated separately and conditions for localization of zero modes of $p-$forms are found for all the cases above and with this we arrive at the above conclusion about vector fields. Another property that can be tested is the absence of resonances found in the case of vector fields. For this we analyze the possible unstable massive modes for all the above cases via transmission coefficient. Our conclusion is that we have more probability to observe massive unstable modes in the Ricci and Riemann coupling.

15.698412

15.260825

15.258326

14.13986

15.499829

15.047512

15.417747

14.897971

14.002172

16.931185

15.065037

14.936321

14.752642

14.698043

14.644501

14.678954

14.858667

14.639439

14.531199

15.076136

14.846093

1404.4733

Emil Nissimov

Eduardo Guendelman, Emil Nissimov, Svetlana Pacheva, Mahary Vasihoun

A New Mechanism of Dynamical Spontaneous Breaking of Supersymmetry

v2 7 pages, few minor improvements for clarity, reformatted to conform the journal style, to appear in Bulgarian Journal of Physics, vol.41, #4

Bulg. J. Phys. 41 (2014) 123-129

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We present a qualitatively new mechanism for dynamical spontaneous breakdown of supersymmetry. Specifically, we construct a modified formulation of standard minimal N=1 supergravity. The modification is based on an idea worked out in detail in previous publications by some of us, where we proposed a new formulation of (non-supersymmetric) gravity theories employing an alternative volume form (volume element, or generally-covariant integration measure) in the pertinent Lagrangian action, defined in terms of auxiliary (pure-gauge) fields instead of the standard Riemannian metric volume form. Invariance under supersymmetry of the new modified N=1 supergravity action is preserved due to the addition of an appropriate compensating antisymmetric tensor gauge field. This new formalism naturally triggers the appearance of a dynamically generated cosmological constant as an arbitrary integration constant which signifies a spontaneous (dynamical) breaking of supersymmetry. Furthermore, applying the same formalism to anti-de Sitter supergravity allows us to appropriately choose the above mentioned arbitrary integration constant so as to obtain simultaneously a very small positive effective observable cosmological constant as well as a large physical gravitino mass as required by modern cosmological scenarios for slowly expanding universe of today.

[ { "created": "Fri, 18 Apr 2014 09:56:50 GMT", "version": "v1" }, { "created": "Tue, 19 Aug 2014 07:53:18 GMT", "version": "v2" } ]

2014-11-03

[ [ "Guendelman", "Eduardo", "" ], [ "Nissimov", "Emil", "" ], [ "Pacheva", "Svetlana", "" ], [ "Vasihoun", "Mahary", "" ] ]

We present a qualitatively new mechanism for dynamical spontaneous breakdown of supersymmetry. Specifically, we construct a modified formulation of standard minimal N=1 supergravity. The modification is based on an idea worked out in detail in previous publications by some of us, where we proposed a new formulation of (non-supersymmetric) gravity theories employing an alternative volume form (volume element, or generally-covariant integration measure) in the pertinent Lagrangian action, defined in terms of auxiliary (pure-gauge) fields instead of the standard Riemannian metric volume form. Invariance under supersymmetry of the new modified N=1 supergravity action is preserved due to the addition of an appropriate compensating antisymmetric tensor gauge field. This new formalism naturally triggers the appearance of a dynamically generated cosmological constant as an arbitrary integration constant which signifies a spontaneous (dynamical) breaking of supersymmetry. Furthermore, applying the same formalism to anti-de Sitter supergravity allows us to appropriately choose the above mentioned arbitrary integration constant so as to obtain simultaneously a very small positive effective observable cosmological constant as well as a large physical gravitino mass as required by modern cosmological scenarios for slowly expanding universe of today.

9.988574

9.221109

10.135662

9.418774

9.286185

9.76629

9.465384

9.296874

9.693685

10.954598

9.79447

10.207734

10.058181

9.827254

10.18311

9.895473

9.89051

10.217645

9.851715

10.113635

9.997423

2206.10794

Dionisio Bazeia

D. Bazeia, A.S. Lob\~ao Jr

Mechanism to control the internal structure of thick brane

8 pages, 10 figures. To appear in EPJC as a Letter

Eur. Phys. J. C 82 (2022) 579

10.1140/epjc/s10052-022-10546-z

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this work we study braneworlds generated by several scalar fields. The investigation describes the necessary formalism to examine models and evaluate the conditions for the stability of the gravitational sector under linear perturbations. In particular, we develop a mechanism that help us investigate distinct situations controlled by two and by three fields, focusing on how the fields can be used to modify the internal structure of the brane.

[ { "created": "Wed, 22 Jun 2022 01:25:16 GMT", "version": "v1" } ]

2022-07-07

[ [ "Bazeia", "D.", "" ], [ "Lobão", "A. S.", "Jr" ] ]

In this work we study braneworlds generated by several scalar fields. The investigation describes the necessary formalism to examine models and evaluate the conditions for the stability of the gravitational sector under linear perturbations. In particular, we develop a mechanism that help us investigate distinct situations controlled by two and by three fields, focusing on how the fields can be used to modify the internal structure of the brane.

21.066708

15.468719

18.873106

16.817305

17.322788

16.007376

14.89595

15.964388

15.929501

19.061075

16.741245

18.02828

19.211054

18.325216

18.571222

18.289791

17.997906

17.560022

18.361795

19.433811

18.947697

hep-th/0304101

Jerzy Kowalski-Glikman

Jerzy Kowalski-Glikman and Sebastian Nowak

Doubly Special Relativity and de Sitter space

26 pages, one formula (67) corrected; some remarks added

Class.Quant.Grav.20:4799-4816,2003

10.1088/0264-9381/20/22/006

null

hep-th

null

In this paper we recall the construction of Doubly Special Relativity (DSR) as a theory with energy-momentum space being the four dimensional de Sitter space. Then the bases of the DSR theory can be understood as different coordinate systems on this space. We investigate the emerging geometrical picture of Doubly Special Relativity by presenting the basis independent features of DSR that include the non-commutative structure of space-time and the phase space algebra. Next we investigate the relation between our geometric formulation and the one based on quantum $\kappa$-deformations of the Poincar\'e algebra. Finally we re-derive the five-dimensional differential calculus using the geometric method, and use it to write down the deformed Klein-Gordon equation and to analyze its plane wave solutions.

[ { "created": "Thu, 10 Apr 2003 16:15:19 GMT", "version": "v1" }, { "created": "Sat, 3 May 2003 09:38:12 GMT", "version": "v2" }, { "created": "Sat, 11 Oct 2003 22:48:24 GMT", "version": "v3" } ]

2008-11-26

[ [ "Kowalski-Glikman", "Jerzy", "" ], [ "Nowak", "Sebastian", "" ] ]

In this paper we recall the construction of Doubly Special Relativity (DSR) as a theory with energy-momentum space being the four dimensional de Sitter space. Then the bases of the DSR theory can be understood as different coordinate systems on this space. We investigate the emerging geometrical picture of Doubly Special Relativity by presenting the basis independent features of DSR that include the non-commutative structure of space-time and the phase space algebra. Next we investigate the relation between our geometric formulation and the one based on quantum $\kappa$-deformations of the Poincar\'e algebra. Finally we re-derive the five-dimensional differential calculus using the geometric method, and use it to write down the deformed Klein-Gordon equation and to analyze its plane wave solutions.

9.326009

8.269327

8.779053

8.254169

8.740609

8.281688

8.539011

8.28616

8.363883

9.872673

8.077512

8.210986

8.705542

8.427397

8.390656

8.478944

8.263799

8.485968

8.380539

8.570834

8.326208

0710.2182

Michael Wohlgenannt

Josip Trampetic, Michael Wohlgenannt

Remarks on the 2nd order Seiberg-Witten maps

4 pages; to be published in Phys. Rev. D

Phys.Rev.D76:127703,2007

10.1103/PhysRevD.76.127703

Preprint ESI 1964 (2007)

hep-th hep-ph

null

In this report, we discuss the Seiberg-Witten maps up to the second order in the noncommutative parameter $\theta$. They add to the recently published solutions in [1]. Expressions for the vector, fermion and Higgs fields are given explicitly.

[ { "created": "Thu, 11 Oct 2007 15:34:07 GMT", "version": "v1" }, { "created": "Mon, 3 Dec 2007 14:25:33 GMT", "version": "v2" } ]

2008-11-26

[ [ "Trampetic", "Josip", "" ], [ "Wohlgenannt", "Michael", "" ] ]

In this report, we discuss the Seiberg-Witten maps up to the second order in the noncommutative parameter $\theta$. They add to the recently published solutions in [1]. Expressions for the vector, fermion and Higgs fields are given explicitly.

12.496678

9.079206

8.960011

7.872558

9.344114

8.255943

8.349548

8.701402

7.59196

9.490929

8.138389

8.266743

8.632571

8.394623

8.123898

8.494949

8.227216

8.209199

8.812928

8.696121

8.586023

hep-th/0511103

Mariano Cadoni

Statistical entropy of the Schwarzschild black hole

3 pages no figures

Mod.Phys.Lett. A21 (2006) 1879-1888

10.1142/S0217732306021165

null

hep-th

null

We derive the statistical entropy of the Schwarzschild black hole by considering the asymptotic symmetry algebra near the $\cal{I^{-}}$ boundary of the spacetime at past null infinity. Using a two-dimensional description and the Weyl invariance of black hole thermodynamics this symmetry algebra can be mapped into the Virasoro algebra generating asymptotic symmetries of anti-de Sitter spacetime. Using lagrangian methods we identify the stress-energy tensor of the boundary conformal field theory and we calculate the central charge of the Virasoro algebra. The Bekenstein-Hawking result for the black hole entropy is regained using Cardy's formula. Our result strongly supports a non-local realization of the holographic principle

[ { "created": "Wed, 9 Nov 2005 08:34:10 GMT", "version": "v1" } ]

2009-11-11

[ [ "Cadoni", "Mariano", "" ] ]

We derive the statistical entropy of the Schwarzschild black hole by considering the asymptotic symmetry algebra near the $\cal{I^{-}}$ boundary of the spacetime at past null infinity. Using a two-dimensional description and the Weyl invariance of black hole thermodynamics this symmetry algebra can be mapped into the Virasoro algebra generating asymptotic symmetries of anti-de Sitter spacetime. Using lagrangian methods we identify the stress-energy tensor of the boundary conformal field theory and we calculate the central charge of the Virasoro algebra. The Bekenstein-Hawking result for the black hole entropy is regained using Cardy's formula. Our result strongly supports a non-local realization of the holographic principle

7.462492

7.407097

6.971978

6.592581

6.702356

6.647545

6.910534

6.634129

6.490889

8.233022

6.711213

6.947561

7.021194

6.747062

6.84078

6.981046

6.984733

7.087055

6.847619

6.767648

6.919154

hep-th/0103055

Andreas Fring

O.A. Castro-Alvaredo and A. Fring

Scaling functions from q-deformed Virasoro characters

31 pages of Latex, 5 figures

J.Phys.A35:609-636,2002

10.1088/0305-4470/35/3/310

null

hep-th cond-mat math-ph math.MP

null

We propose a renormalization group scaling function which is constructed from q-deformed fermionic versions of Virasoro characters. By comparison with alternative methods, which take their starting point in the massive theories, we demonstrate that these new functions contain qualitatively the same information. We show that these functions allow for RG-flows not only amongst members of a particular series of conformal field theories, but also between different series such as N=0,1,2 supersymmetric conformal field theories. We provide a detailed analysis of how Weyl characters may be utilized in order to solve various recurrence relations emerging at the fixed points of these flows. The q-deformed Virasoro characters allow furthermore for the construction of particle spectra, which involve unstable pseudo-particles.

[ { "created": "Thu, 8 Mar 2001 16:54:36 GMT", "version": "v1" } ]

2008-11-26

[ [ "Castro-Alvaredo", "O. A.", "" ], [ "Fring", "A.", "" ] ]

We propose a renormalization group scaling function which is constructed from q-deformed fermionic versions of Virasoro characters. By comparison with alternative methods, which take their starting point in the massive theories, we demonstrate that these new functions contain qualitatively the same information. We show that these functions allow for RG-flows not only amongst members of a particular series of conformal field theories, but also between different series such as N=0,1,2 supersymmetric conformal field theories. We provide a detailed analysis of how Weyl characters may be utilized in order to solve various recurrence relations emerging at the fixed points of these flows. The q-deformed Virasoro characters allow furthermore for the construction of particle spectra, which involve unstable pseudo-particles.

13.724976

12.772831

14.472899

13.658685

13.401597

13.843718

13.281977

12.729826

13.333569

14.416551

12.75908

13.274248

14.152593

12.941648

13.270961

13.046897

13.001019

13.144329

13.195809

13.1617

12.813496

1602.06290

Martin Einhorn

Martin B Einhorn and D R Timothy Jones

Induced Gravity II: Grand Unification

44 pages, 5 figures, 2 tables. v2 has new discussion concerning stability of SSB plus related appendix. Additional references added. v3 is version to be published; contains minor revisions

JHEP 05 (2016) 185

10.1007/JHEP05(2016)185

NSF-KITP-16-014, MCTP-16-04, LTH 1074

hep-th gr-qc hep-ph

http://creativecommons.org/licenses/by-nc-sa/4.0/

As an illustration of a renormalizable, asymptotically-free model of induced gravity, we consider an $SO(10)$ gauge theory interacting with a real scalar multiplet in the adjoint representation. We show that dimensional transmutation can occur, spontaneously breaking $SO(10)$ to $SU(5){\otimes}U(1),$ while inducing the Planck mass and a positive cosmological constant, all proportional to the same scale $v$. All mass ratios are functions of the values of coupling constants at that scale. Below this scale (at which the Big Bang may occur), the model takes the usual form of Einstein-Hilbert gravity in de Sitter space plus calculable corrections. We show that there exist regions of parameter space in which the breaking results in a local minimum of the effective action, and a {\bf positive} dilaton $(\hbox{mass})^2$ from two-loop corrections associated with the conformal anomaly. Furthermore, unlike the singlet case we considered previously, some minima lie within the basin of attraction of the ultraviolet fixed point. Moreover, the asymptotic behavior of the coupling constants also lie within the range of convergence of the Euclidean path integral, so there is hope that there will be candidates for sensible vacua. Although open questions remain concerning unitarity of all such renormalizable models of gravity, it is not obvious that, in curved backgrounds such as those considered here, unitarity is violated. In any case, any violation that may remain will be suppressed by inverse powers of the reduced Planck mass.

[ { "created": "Fri, 19 Feb 2016 20:49:15 GMT", "version": "v1" }, { "created": "Mon, 21 Mar 2016 00:46:30 GMT", "version": "v2" }, { "created": "Tue, 3 May 2016 05:44:53 GMT", "version": "v3" } ]

2016-06-08

[ [ "Einhorn", "Martin B", "" ], [ "Jones", "D R Timothy", "" ] ]

As an illustration of a renormalizable, asymptotically-free model of induced gravity, we consider an $SO(10)$ gauge theory interacting with a real scalar multiplet in the adjoint representation. We show that dimensional transmutation can occur, spontaneously breaking $SO(10)$ to $SU(5){\otimes}U(1),$ while inducing the Planck mass and a positive cosmological constant, all proportional to the same scale $v$. All mass ratios are functions of the values of coupling constants at that scale. Below this scale (at which the Big Bang may occur), the model takes the usual form of Einstein-Hilbert gravity in de Sitter space plus calculable corrections. We show that there exist regions of parameter space in which the breaking results in a local minimum of the effective action, and a {\bf positive} dilaton $(\hbox{mass})^2$ from two-loop corrections associated with the conformal anomaly. Furthermore, unlike the singlet case we considered previously, some minima lie within the basin of attraction of the ultraviolet fixed point. Moreover, the asymptotic behavior of the coupling constants also lie within the range of convergence of the Euclidean path integral, so there is hope that there will be candidates for sensible vacua. Although open questions remain concerning unitarity of all such renormalizable models of gravity, it is not obvious that, in curved backgrounds such as those considered here, unitarity is violated. In any case, any violation that may remain will be suppressed by inverse powers of the reduced Planck mass.

9.565508

10.180765

9.95294

9.784314

10.280752

9.857152

10.534783

9.954432

9.123968

10.392602

9.550376

9.287438

9.353024

9.24848

9.437602

9.459676

9.429601

9.17128

9.198017

9.262514

9.359695

1411.5321

Carlos A. Hernaski

Carlos Hernaski

Quantization and stability of bumblebee electrodynamics

Improved exposition; typos corrected; to be published in Phys. Rev. D; 34 pages

null

10.1103/PhysRevD.90.124036

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The quantization of a vector model presenting spontaneous breaking of Lorentz symmetry in flat Minkowski spacetime is discussed. The Stueckelberg trick of introducing an auxiliary field along with a local symmetry in the initial Lagrangian is used to convert the second-class constraints present in the initial Lagrangian to first-class ones. An additional deformation is employed in the resulting Lagrangian to handle properly the first-class constraints, and the equivalence with the initial model is demonstrated using the BRST invariance of the deformed Lagrangian. The framework for performing perturbation theory is constructed and the structure of the Fock space is discussed. Despite the presence of ghost and tachyon modes in the spectrum of the theory, it is shown that one can implement consistent conditions to define a unitary and stable reduced Fock space. Within the restricted Fock space, the free model turns out to be equivalent to the Maxwell electrodynamics in the temporal gauge.

[ { "created": "Mon, 20 Oct 2014 19:54:07 GMT", "version": "v1" }, { "created": "Wed, 26 Nov 2014 21:22:27 GMT", "version": "v2" } ]

2015-06-23

[ [ "Hernaski", "Carlos", "" ] ]

The quantization of a vector model presenting spontaneous breaking of Lorentz symmetry in flat Minkowski spacetime is discussed. The Stueckelberg trick of introducing an auxiliary field along with a local symmetry in the initial Lagrangian is used to convert the second-class constraints present in the initial Lagrangian to first-class ones. An additional deformation is employed in the resulting Lagrangian to handle properly the first-class constraints, and the equivalence with the initial model is demonstrated using the BRST invariance of the deformed Lagrangian. The framework for performing perturbation theory is constructed and the structure of the Fock space is discussed. Despite the presence of ghost and tachyon modes in the spectrum of the theory, it is shown that one can implement consistent conditions to define a unitary and stable reduced Fock space. Within the restricted Fock space, the free model turns out to be equivalent to the Maxwell electrodynamics in the temporal gauge.

8.056846

7.443775

8.262971

7.365767

7.529303

7.462739

7.937394

7.282519

7.695644

7.850205

7.540345

7.876784

7.582134

7.531398

7.620911

7.782204

7.700636

7.70311

7.70734

7.75901

7.663127

hep-th/9207056

Lnc

Lay Nam Chang, Chopin Soo

Einstein manifolds in Ashtekar variables: explicit examples

32 pages, uses harvmac, VPI-IHEP-92-5

null

hep-th gr-qc

null

We show that all solutions to the vacuum Einstein field equations may be mapped to instanton configurations of the Ashtekar variables. These solutions are characterized by properties of the moduli space of the instantons. We exhibit explicit forms of these configurations for several well-known solutions, and indicate a systematic way to get new ones. Some interesting examples of these new solutions are described.

[ { "created": "Thu, 16 Jul 1992 03:35:26 GMT", "version": "v1" }, { "created": "Thu, 30 Jul 1992 07:22:25 GMT", "version": "v2" } ]

2008-02-03

[ [ "Chang", "Lay Nam", "" ], [ "Soo", "Chopin", "" ] ]

We show that all solutions to the vacuum Einstein field equations may be mapped to instanton configurations of the Ashtekar variables. These solutions are characterized by properties of the moduli space of the instantons. We exhibit explicit forms of these configurations for several well-known solutions, and indicate a systematic way to get new ones. Some interesting examples of these new solutions are described.

12.641581

10.404954

10.169899

9.609782

10.295117

10.157446

9.914576

10.4239

10.45926

10.342029

10.349907

10.495128

10.634636

10.416538

10.537555

10.30431

10.305471

10.566751

10.337417

10.793305

10.104094

1508.01207

David Tong

David Tong and Carl Turner

Vortices and Monopoles in a Harmonic Trap

24 pages + appendices. 5 figures. v2: references added

null

10.1007/JHEP12(2015)098

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The Omega-deformation is a harmonic trap, penning certain excitations near the origin in a manner consistent with supersymmetry. Here we explore the dynamics of BPS monopoles and vortices in such a trap. We pay particular attention to monopoles in the Higgs phase, when they are confined to a vortex string. Unusually for BPS solitons, the mass of these confined monopoles is quadratic in the topological charges. We compute an index theorem to determine the number of collective coordinates of confined monopoles. Despite being restricted to move on a line, we find that they have a rich dynamics. As the strength of the trap increases, the number of collective coordinates can change, sometimes with constituent monopoles disappearing, sometimes with new ones emerging.

[ { "created": "Wed, 5 Aug 2015 20:10:24 GMT", "version": "v1" }, { "created": "Fri, 18 Sep 2015 07:30:50 GMT", "version": "v2" } ]

2016-01-27

[ [ "Tong", "David", "" ], [ "Turner", "Carl", "" ] ]

The Omega-deformation is a harmonic trap, penning certain excitations near the origin in a manner consistent with supersymmetry. Here we explore the dynamics of BPS monopoles and vortices in such a trap. We pay particular attention to monopoles in the Higgs phase, when they are confined to a vortex string. Unusually for BPS solitons, the mass of these confined monopoles is quadratic in the topological charges. We compute an index theorem to determine the number of collective coordinates of confined monopoles. Despite being restricted to move on a line, we find that they have a rich dynamics. As the strength of the trap increases, the number of collective coordinates can change, sometimes with constituent monopoles disappearing, sometimes with new ones emerging.

11.255987

10.982807

11.979416

10.354917

10.203936

10.138391

10.833421

10.056589

10.010466

13.61556

9.464666

9.930375

11.425768

10.558278

10.078434

10.290667

10.399924

9.956586

10.523055

10.739442

10.185742

1504.08244

Napat Poovuttikul

Andrei Parnachev, Napat Poovuttikul

Topological Entanglement Entropy, Ground State Degeneracy and Holography

harvmac, 27 pages, 6 figures, v3: section 4 re-written, references added, accepted to JHEP

null

TCDMATH-15-13

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Topological entanglement entropy, a measure of the long-ranged entanglement, is related to the degeneracy of the ground state on a higher genus surface. The exact relation depends on the details of the topological theory. We consider a class of holographic models where such relation might be similar to the one exhibited by Chern-Simons theory in a certain large N limit. Both the non-vanishing topological entanglement entropy and the ground state degeneracy in these holographic models are consequences of the topological Gauss-Bonnet term in the dual gravitational description. A soft wall holographic model of confinement is used to generate finite correlation length but keep the disk topology of the entangling surface in the bulk, necessary for nonvanishing topological entanglement entropy.

[ { "created": "Thu, 30 Apr 2015 14:38:06 GMT", "version": "v1" }, { "created": "Fri, 22 May 2015 14:10:59 GMT", "version": "v2" }, { "created": "Tue, 29 Sep 2015 13:02:16 GMT", "version": "v3" } ]

2015-12-21

[ [ "Parnachev", "Andrei", "" ], [ "Poovuttikul", "Napat", "" ] ]

Topological entanglement entropy, a measure of the long-ranged entanglement, is related to the degeneracy of the ground state on a higher genus surface. The exact relation depends on the details of the topological theory. We consider a class of holographic models where such relation might be similar to the one exhibited by Chern-Simons theory in a certain large N limit. Both the non-vanishing topological entanglement entropy and the ground state degeneracy in these holographic models are consequences of the topological Gauss-Bonnet term in the dual gravitational description. A soft wall holographic model of confinement is used to generate finite correlation length but keep the disk topology of the entangling surface in the bulk, necessary for nonvanishing topological entanglement entropy.

6.732632

7.500761

7.272588

6.959527

7.749672

8.184542

7.523898

7.183849

7.520647

7.157101

7.064492

7.081519

6.916308

7.104654

6.971035

6.820285

6.925684

7.253608

6.999809

6.726504

7.126667

1301.0721

Shotaro Shiba

Hiroaki Kanno, Kazunobu Maruyoshi, Shotaro Shiba, Masato Taki

W_3 irregular states and isolated N=2 superconformal field theories

1+53 pages, 1 figure; v2: minor corrections

null

10.1007/JHEP03(2013)147

KEK-TH-1595, RIKEN-MP-66

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We explore the proposal that the six-dimensional (2,0) theory on the Riemann surface with irregular punctures leads to a four-dimensional gauge theory coupled to the isolated N=2 superconformal theories of Argyres-Douglas type, and to two-dimensional conformal field theory with irregular states. Following the approach of Gaiotto-Teschner for the Virasoro case, we construct W_3 irregular states by colliding a single SU(3) puncture with several regular punctures of simple type. If n simple punctures are colliding with the SU(3) puncture, the resulting irregular state is a simultaneous eigenvector of the positive modes L_n, ..., L_{2n} and W_{2n}, ..., W_{3n} of the W_3 algebra. We find the corresponding isolated SCFT with an SU(3) flavor symmetry as a nontrivial IR fixed point on the Coulomb branch of the SU(3) linear quiver gauge theories, by confirming that its Seiberg-Witten curve correctly predicts the conditions for the W_3 irregular states. We also compare these SCFT's with the ones obtained from the BPS quiver method.

[ { "created": "Fri, 4 Jan 2013 13:42:09 GMT", "version": "v1" }, { "created": "Fri, 1 Feb 2013 15:46:32 GMT", "version": "v2" } ]

2015-06-12

[ [ "Kanno", "Hiroaki", "" ], [ "Maruyoshi", "Kazunobu", "" ], [ "Shiba", "Shotaro", "" ], [ "Taki", "Masato", "" ] ]

We explore the proposal that the six-dimensional (2,0) theory on the Riemann surface with irregular punctures leads to a four-dimensional gauge theory coupled to the isolated N=2 superconformal theories of Argyres-Douglas type, and to two-dimensional conformal field theory with irregular states. Following the approach of Gaiotto-Teschner for the Virasoro case, we construct W_3 irregular states by colliding a single SU(3) puncture with several regular punctures of simple type. If n simple punctures are colliding with the SU(3) puncture, the resulting irregular state is a simultaneous eigenvector of the positive modes L_n, ..., L_{2n} and W_{2n}, ..., W_{3n} of the W_3 algebra. We find the corresponding isolated SCFT with an SU(3) flavor symmetry as a nontrivial IR fixed point on the Coulomb branch of the SU(3) linear quiver gauge theories, by confirming that its Seiberg-Witten curve correctly predicts the conditions for the W_3 irregular states. We also compare these SCFT's with the ones obtained from the BPS quiver method.

7.451128

7.329873

8.633698

7.441138

7.189295

7.238671

7.583405

6.730252

7.6002

10.963376

6.834932

6.801105

7.89958

6.802872

7.043525

7.105314

7.249969

7.014734

6.970202

7.676517

6.784323

1604.08871

Dionisio Bazeia

D. Bazeia, L. Losano, M.A. Marques, R. Menezes, R. da Rocha

Compact Q-balls

6 pages, 6 figures; to appear in PLB

Phys. Lett. B 758 (2016) 146

10.1016/j.physletb.2016.04.060

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this work we deal with non-topological solutions of the Q-ball type in two space-time dimensions, in models described by a single complex scalar field that engenders global symmetry. The main novelty is the presence of stable Q-balls solutions that live in a compact interval of the real line and appear from a family of models controlled by two distinct parameters. We find analytical solutions and study their charge and energy, and show how to control the parameters to make the Q-balls classically and quantum mechanically stable.

[ { "created": "Fri, 29 Apr 2016 15:21:37 GMT", "version": "v1" }, { "created": "Tue, 3 May 2016 15:05:25 GMT", "version": "v2" } ]

2016-05-24

[ [ "Bazeia", "D.", "" ], [ "Losano", "L.", "" ], [ "Marques", "M. A.", "" ], [ "Menezes", "R.", "" ], [ "da Rocha", "R.", "" ] ]

In this work we deal with non-topological solutions of the Q-ball type in two space-time dimensions, in models described by a single complex scalar field that engenders global symmetry. The main novelty is the presence of stable Q-balls solutions that live in a compact interval of the real line and appear from a family of models controlled by two distinct parameters. We find analytical solutions and study their charge and energy, and show how to control the parameters to make the Q-balls classically and quantum mechanically stable.

12.267477

7.038328

11.488297

9.710568

9.496583

9.016001

8.465479

8.823665

8.733465

13.003893

9.769268

10.053978

11.931947

10.751101

10.472867

10.503474

10.346933

10.258078

10.330714

11.880198

10.949692

1007.0556

Feodor A. Smirnov

M. Jimbo, T. Miwa, F. Smirnov

Hidden Grassmann structure in the XXZ model V: sine-Gordon model

36 pages. Some corrections are done in latest version, especially in the subsection 10.3

Lett.Math.Phys.96:325-365,2011

10.1007/s11005-010-0438-9

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study one-point functions of the sine-Gordon model on a cylinder. Our approach is based on a fermionic description of the space of descendent fields, developed in our previous works for conformal field theory and the sine-Gordon model on the plane. In the present paper we make an essential addition by giving a connection between various primary fields in terms of yet another kind of fermions. The one-point functions of primary fields and descendants are expressed in terms of a single function defined via the data from the thermodynamic Bethe Ansatz equations.

[ { "created": "Sun, 4 Jul 2010 14:59:26 GMT", "version": "v1" }, { "created": "Wed, 9 Mar 2011 12:30:30 GMT", "version": "v2" }, { "created": "Wed, 24 Apr 2013 07:44:16 GMT", "version": "v3" } ]

2013-04-25

[ [ "Jimbo", "M.", "" ], [ "Miwa", "T.", "" ], [ "Smirnov", "F.", "" ] ]

We study one-point functions of the sine-Gordon model on a cylinder. Our approach is based on a fermionic description of the space of descendent fields, developed in our previous works for conformal field theory and the sine-Gordon model on the plane. In the present paper we make an essential addition by giving a connection between various primary fields in terms of yet another kind of fermions. The one-point functions of primary fields and descendants are expressed in terms of a single function defined via the data from the thermodynamic Bethe Ansatz equations.

10.026225

9.243203

12.341742

9.29923

9.355981

9.794393

9.805439

9.237556

8.916701

11.07198

9.445967

9.104008

10.724496

9.273202

9.643769

9.68248

9.699425

9.248788

9.450607

10.260448

9.244619

1309.0278

Shlomo S. Razamat

On the N=2 superconformal index and eigenfunctions of the elliptic RS model

21 pages, harvmac. v2: added references

null

10.1007/s11005-014-0682-5

null

hep-th math-ph math.MP

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We define an infinite sequence of superconformal indices, I_n, generalizing the Schur index for N=2 theories. For theories of class S we then suggest a recursive technique to completely determine I_n. The information encoded in the sequence of indices is equivalent to the N=2 superconformal index depending on the maximal set of fugacities. Mathematically, the procedure suggested in this note provides a perturbative algorithm for computing a set of eigenfunctions of the elliptic Ruijsenaars-Schneider model.

[ { "created": "Mon, 2 Sep 2013 00:09:10 GMT", "version": "v1" }, { "created": "Tue, 10 Sep 2013 18:27:33 GMT", "version": "v2" } ]

2015-06-17

[ [ "Razamat", "Shlomo S.", "" ] ]

We define an infinite sequence of superconformal indices, I_n, generalizing the Schur index for N=2 theories. For theories of class S we then suggest a recursive technique to completely determine I_n. The information encoded in the sequence of indices is equivalent to the N=2 superconformal index depending on the maximal set of fugacities. Mathematically, the procedure suggested in this note provides a perturbative algorithm for computing a set of eigenfunctions of the elliptic Ruijsenaars-Schneider model.

9.224314

8.244609

11.214887

7.367433

8.497696

7.455192

7.570381

7.601112

7.493532

11.114736

8.122175

8.27402

9.294003

8.321279

8.023808

8.755583

8.094035

8.573542

8.406043

9.281368

7.921498

hep-th/9205112

Arley

Arlen Anderson

The Global Problem of Time

8 pp., McGill 92-15

null

hep-th

null

Time does not obviously appear amongst the coordinates on the constrained phase space of general relativity in the Hamiltonian formulation. Recent work in finite-dimensional models claims that topological obstructions generically make the global definition of time impossible. It is shown here that a time coordinate can be globally defined on a constrained phase space by patching together local time coordinates, just as coordinates are defined on topologically non-trivial manifolds.

[ { "created": "Fri, 29 May 1992 18:04:42 GMT", "version": "v1" } ]

2007-05-23

[ [ "Anderson", "Arlen", "" ] ]

Time does not obviously appear amongst the coordinates on the constrained phase space of general relativity in the Hamiltonian formulation. Recent work in finite-dimensional models claims that topological obstructions generically make the global definition of time impossible. It is shown here that a time coordinate can be globally defined on a constrained phase space by patching together local time coordinates, just as coordinates are defined on topologically non-trivial manifolds.

13.094879

11.536002

11.323013

10.582621

10.926352

11.574828

12.012856

11.62186

10.643552

11.911777

10.451129

10.056862

10.540798

9.943649

10.105014

9.827634

10.196893

9.807116

10.072046

9.968011

10.108038

hep-th/9204002

null

T. T. Burwick and A. H. Chamseddine

Classical and Quantum Considerations of Two-dimensional Gravity

18 pages

Nucl.Phys. B384 (1992) 411-430

10.1016/0550-3213(92)90473-O

null

hep-th

null

The two-dimensional theory of gravity describing a graviton-dilaton system is considered. The graviton-dilaton coupling can be fixed such that the quantum theory remains free of the conformal anomaly for any conformal dimension of the coupled matter system, even if the dilaton does not appear as Lagrange multiplier. Interaction terms are introduced and the system is analyzed and solutions are given at the classical level and at the quantum level by using canonical quantization.

[ { "created": "Thu, 2 Apr 1992 15:02:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "Burwick", "T. T.", "" ], [ "Chamseddine", "A. H.", "" ] ]

The two-dimensional theory of gravity describing a graviton-dilaton system is considered. The graviton-dilaton coupling can be fixed such that the quantum theory remains free of the conformal anomaly for any conformal dimension of the coupled matter system, even if the dilaton does not appear as Lagrange multiplier. Interaction terms are introduced and the system is analyzed and solutions are given at the classical level and at the quantum level by using canonical quantization.

11.787975

10.526428

10.693475

10.386519

11.296622

10.848851

10.245443

10.212946

9.897714

13.474138

10.077725

11.234355

10.687525

10.428329

11.335738

10.923684

10.642651

10.466808

10.668173

11.364202

10.917909

hep-th/9201080

null

P. Furlan, A. Ch. Ganchev, R. Paunov, V. B. Petkova

Solutions of the Knizhnik - Zamolodchikov Equation with Rational Isospins and the Reduction to the Minimal Models

40 pages

Nucl.Phys. B394 (1993) 665-706

10.1016/0550-3213(93)90227-G

null

hep-th

null

In the spirit of the quantum Hamiltonian reduction we establish a relation between the chiral $n$-point functions, as well as the equations governing them, of the $A_1^{(1)}$ WZNW conformal theory and the corresponding Virasoro minimal models. The WZNW correlators are described as solutions of the Knizhnik - Zamolodchikov equations with rational levels and isospins. The technical tool exploited are certain relations in twisted cohomology. The results extend to arbitrary level $k+2 \neq 0$ and isospin values of the type $J=j-j'(k+2)$, $ \ 2j, 2j' \in Z\!\!\!Z_+$.

[ { "created": "Fri, 31 Jan 1992 17:23:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "Furlan", "P.", "" ], [ "Ganchev", "A. Ch.", "" ], [ "Paunov", "R.", "" ], [ "Petkova", "V. B.", "" ] ]

In the spirit of the quantum Hamiltonian reduction we establish a relation between the chiral $n$-point functions, as well as the equations governing them, of the $A_1^{(1)}$ WZNW conformal theory and the corresponding Virasoro minimal models. The WZNW correlators are described as solutions of the Knizhnik - Zamolodchikov equations with rational levels and isospins. The technical tool exploited are certain relations in twisted cohomology. The results extend to arbitrary level $k+2 \neq 0$ and isospin values of the type $J=j-j'(k+2)$, $ \ 2j, 2j' \in Z\!\!\!Z_+$.

8.589929

9.178783

9.750692

8.538374

8.375508

9.451923

9.225125

9.500152

8.892558

11.005413

8.572402

8.104713

8.588521

8.044461

8.324578

8.108092

7.971964

8.082184

7.939662

9.011834

7.906711

hep-th/0506158

Andrei Mironov

A.Mironov

Matrix Models vs. Matrix Integrals

10 pages, contribution to the International Workshop "Classical and Quantum Integrable Systems", Dubna, Russia, 2005

Theor.Math.Phys.146:63-72,2006; Teor.Mat.Fiz.146:77-89,2006

10.1007/s11232-006-0007-7

null

hep-th

null

In a brief review, we discuss interrelations between arbitrary solutions of the loop equations that describe Hermitean one-matrix model and particular (multi-cut) solutions that describe concrete matrix integrals. These latter ones enjoy a series of specific properties and, in particular, are described in terms of Seiberg-Witten-Whitham theory. The simplest example of ordinary integral is considered in detail.

[ { "created": "Mon, 20 Jun 2005 19:43:25 GMT", "version": "v1" } ]

2011-07-19

[ [ "Mironov", "A.", "" ] ]

In a brief review, we discuss interrelations between arbitrary solutions of the loop equations that describe Hermitean one-matrix model and particular (multi-cut) solutions that describe concrete matrix integrals. These latter ones enjoy a series of specific properties and, in particular, are described in terms of Seiberg-Witten-Whitham theory. The simplest example of ordinary integral is considered in detail.

16.3428

13.413748

18.140245

13.217029

14.25973

14.324552

14.581771

13.604118

14.02684

18.159086

12.956133

13.140504

15.797866

14.540365

14.424342

14.235704

14.267321

13.637791

14.215774

16.08457

13.607768

hep-th/0304265

Ramond

P. Ramond

Dirac's Footsteps and Supersymmetry

Invited Talk at Dirac's Centennial Symposium, Tallahasse, Florida, Dec 2002

Int.J.Mod.Phys. A19S1 (2004) 89-98

10.1142/S0217751X04018610

UFIFT-HET-03-07

hep-th

null

One hundred years after its creator's birth, the Dirac equation stands as the cornerstone of XXth Century physics. But it is much more, as it carries the seeds of supersymmetry. Dirac also invented the light-cone, or "front form" dynamics, which plays a crucial role in string theory and in elucidating the finiteness of N=4 Yang-Mills theory. The light-cone structure of eleven-dimensional supergravity (N=8 supergravity in four dimensions) suggests a group-theoretical interpretation of its divergences. We speculate they could be compensated by an infinite number of triplets of massless higher spin fields, each obeying a Dirac-like equation associated with the coset $F_4/SO(9)$. The divergences are proportional to the trace over a non-compact structure containing the compact form of $F_4$. Its nature is still unknown, but it could show the way to $M$-theory.

[ { "created": "Wed, 30 Apr 2003 14:54:54 GMT", "version": "v1" } ]

2009-11-10

[ [ "Ramond", "P.", "" ] ]

One hundred years after its creator's birth, the Dirac equation stands as the cornerstone of XXth Century physics. But it is much more, as it carries the seeds of supersymmetry. Dirac also invented the light-cone, or "front form" dynamics, which plays a crucial role in string theory and in elucidating the finiteness of N=4 Yang-Mills theory. The light-cone structure of eleven-dimensional supergravity (N=8 supergravity in four dimensions) suggests a group-theoretical interpretation of its divergences. We speculate they could be compensated by an infinite number of triplets of massless higher spin fields, each obeying a Dirac-like equation associated with the coset $F_4/SO(9)$. The divergences are proportional to the trace over a non-compact structure containing the compact form of $F_4$. Its nature is still unknown, but it could show the way to $M$-theory.

12.075813

11.21093

13.946617

11.067063

12.259369

12.830355

12.416743

11.756421

11.513501

13.296144

11.22681

11.501841

11.443682

10.921272

10.764728

11.268483

11.213446

11.358858

10.883626

11.279412

11.219748

1509.02930

Olaf Hohm

Olaf Hohm and Barton Zwiebach

Double Metric, Generalized Metric and $\alpha'$-Geometry

20 pages

Phys. Rev. D 93, 064035 (2016)

10.1103/PhysRevD.93.064035

MIT-CTP-4714

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We relate the unconstrained `double metric' of the `$\alpha'$-geometry' formulation of double field theory to the constrained generalized metric encoding the spacetime metric and b-field. This is achieved by integrating out auxiliary field components of the double metric in an iterative procedure that induces an infinite number of higher-derivative corrections. As an application we prove that, to first order in $\alpha'$ and to all orders in fields, the deformed gauge transformations are Green-Schwarz-deformed diffeomorphisms. We also prove that to first order in $\alpha'$ the spacetime action encodes precisely the Green-Schwarz deformation with Chern-Simons forms based on the torsionless gravitational connection. This seems to be in tension with suggestions in the literature that T-duality requires a torsionful connection, but we explain that these assertions are ambiguous since actions that use different connections are related by field redefinitions.

[ { "created": "Wed, 9 Sep 2015 20:16:04 GMT", "version": "v1" } ]

2016-03-23

[ [ "Hohm", "Olaf", "" ], [ "Zwiebach", "Barton", "" ] ]

We relate the unconstrained `double metric' of the `$\alpha'$-geometry' formulation of double field theory to the constrained generalized metric encoding the spacetime metric and b-field. This is achieved by integrating out auxiliary field components of the double metric in an iterative procedure that induces an infinite number of higher-derivative corrections. As an application we prove that, to first order in $\alpha'$ and to all orders in fields, the deformed gauge transformations are Green-Schwarz-deformed diffeomorphisms. We also prove that to first order in $\alpha'$ the spacetime action encodes precisely the Green-Schwarz deformation with Chern-Simons forms based on the torsionless gravitational connection. This seems to be in tension with suggestions in the literature that T-duality requires a torsionful connection, but we explain that these assertions are ambiguous since actions that use different connections are related by field redefinitions.

10.292448

8.737213

11.289983

8.861057

9.549816

10.416699

9.535487

8.90348

9.107792

11.308352

8.909323

9.518618

9.766553

9.294398

9.369689

9.769958

9.760354

9.294524

8.970931

10.469127

9.476824

1702.02954

Peter Lowdon

The non-perturbative structure of the photon and gluon propagators

17 pages; v2: additional comments added, matches published version

Phys. Rev. D 96, 065013 (2017)

10.1103/PhysRevD.96.065013

SLAC-PUB-16924

hep-th hep-lat hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The non-perturbative structure of the photon and gluon propagators plays an important role in governing the dynamics of quantum electrodynamics (QED) and quantum chromodynamics (QCD) respectively. Although it is often assumed that these interacting field propagators can be decomposed into longitudinal and transverse components, as for the free case, it turns out that in general this is not possible. Moreover, the non-abelian gauge symmetry of QCD permits the momentum space gluon propagator to contain additional singular terms involving derivatives of $\delta(p)$, the appearance of which is related to confinement. Despite the possibility of the failure of the transverse-longitudinal decomposition for the photon and gluon propagators, and the appearance of singular terms in the gluon propagator, the Slavnov-Taylor identity nevertheless remains preserved.

[ { "created": "Thu, 9 Feb 2017 19:10:06 GMT", "version": "v1" }, { "created": "Tue, 19 Sep 2017 18:53:00 GMT", "version": "v2" } ]

2017-09-21

[ [ "Lowdon", "Peter", "" ] ]

The non-perturbative structure of the photon and gluon propagators plays an important role in governing the dynamics of quantum electrodynamics (QED) and quantum chromodynamics (QCD) respectively. Although it is often assumed that these interacting field propagators can be decomposed into longitudinal and transverse components, as for the free case, it turns out that in general this is not possible. Moreover, the non-abelian gauge symmetry of QCD permits the momentum space gluon propagator to contain additional singular terms involving derivatives of $\delta(p)$, the appearance of which is related to confinement. Despite the possibility of the failure of the transverse-longitudinal decomposition for the photon and gluon propagators, and the appearance of singular terms in the gluon propagator, the Slavnov-Taylor identity nevertheless remains preserved.

6.181313

5.942234

5.75224

5.507606

5.977081

5.938176

6.273787

5.966219

5.973775

6.01953

5.953337

6.077323

5.72061

5.616338

5.816452

5.823845

5.671901

5.820221

5.630609

5.622802

5.757928

1512.02886

Gabriel Menezes

G. Menezes, N. F. Svaiter

Radiative processes of uniformly accelerated entangled atoms

Accepted for publication in Physical Review A. arXiv admin note: text overlap with arXiv:gr-qc/9408019 by other authors

Phys. Rev. A 93, 052117 (2016)

10.1103/PhysRevA.93.052117

null

hep-th quant-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study radiative processes of uniformly accelerated entangled atoms, interacting with an electromagnetic field prepared in the Minkowski vacuum state. We discuss the structure of the rate of variation of the atomic energy for two atoms travelling in different hyperbolic world lines. We identify the contributions of vacuum fluctuations and radiation reaction to the generation of entanglement as well as to the decay of entangled states. Our results resemble the situation in which two inertial atoms are coupled individually to two spatially separated cavities at different temperatures. In addition, for equal accelerations we obtain that one of the maximally entangled antisymmetric Bell state is a decoherence-free state.

[ { "created": "Wed, 9 Dec 2015 15:00:55 GMT", "version": "v1" }, { "created": "Wed, 11 May 2016 03:24:42 GMT", "version": "v2" } ]

2016-06-01

[ [ "Menezes", "G.", "" ], [ "Svaiter", "N. F.", "" ] ]

We study radiative processes of uniformly accelerated entangled atoms, interacting with an electromagnetic field prepared in the Minkowski vacuum state. We discuss the structure of the rate of variation of the atomic energy for two atoms travelling in different hyperbolic world lines. We identify the contributions of vacuum fluctuations and radiation reaction to the generation of entanglement as well as to the decay of entangled states. Our results resemble the situation in which two inertial atoms are coupled individually to two spatially separated cavities at different temperatures. In addition, for equal accelerations we obtain that one of the maximally entangled antisymmetric Bell state is a decoherence-free state.

10.556826

11.588369

9.396306

8.591262

10.698769

10.736259

11.628575

8.851942

10.428766

10.36968

10.310534

10.55245

10.39566

10.310601

10.803359

10.317744

10.514736

10.012389

10.599001

10.51104

10.648915

0903.4894

Ho-Ung Yee

Mahdi Torabian, Ho-Ung Yee

Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries

37 pages, v3: errors corrected, reference added, JHEP version

JHEP 0908:020,2009

10.1088/1126-6708/2009/08/020

IC/2009/016

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study viscous hydrodynamics of hot conformal field theory plasma with multiple/non-Abelian symmetries in the framework of AdS/CFT correspondence, using a recently proposed method of directly solving bulk gravity in derivative expansion of local plasma parameters. Our motivation is to better describe the real QCD plasma produced at RHIC, incorporating its U(1)^Nf flavor symmetry as well as SU(2)_I non-Abelian iso-spin symmetry. As concrete examples, we choose to study the STU model for multiple U(1)^3 symmetries, which is a sub-sector of 5D N=4 gauged SUGRA dual to N=4 Super Yang-Mills theory, capturing Cartan U(1)^3 dynamics inside the full R-symmetry. For SU(2), we analyze the minimal 4D N=3 gauged SUGRA whose bosonic action is simply an Einstein-Yang-Mills system, which corresponds to SU(2) R-symmetry dynamics on M2-branes at a Hyper-Kahler cone. By generalizing the bosonic action to arbitrary dimensions and Lie groups, we present our analysis and results for any non-Abelian plasma in arbitrary dimensions.

[ { "created": "Mon, 30 Mar 2009 17:48:32 GMT", "version": "v1" }, { "created": "Tue, 28 Apr 2009 12:49:02 GMT", "version": "v2" }, { "created": "Fri, 14 Aug 2009 06:53:22 GMT", "version": "v3" } ]

2009-08-14

[ [ "Torabian", "Mahdi", "" ], [ "Yee", "Ho-Ung", "" ] ]

We study viscous hydrodynamics of hot conformal field theory plasma with multiple/non-Abelian symmetries in the framework of AdS/CFT correspondence, using a recently proposed method of directly solving bulk gravity in derivative expansion of local plasma parameters. Our motivation is to better describe the real QCD plasma produced at RHIC, incorporating its U(1)^Nf flavor symmetry as well as SU(2)_I non-Abelian iso-spin symmetry. As concrete examples, we choose to study the STU model for multiple U(1)^3 symmetries, which is a sub-sector of 5D N=4 gauged SUGRA dual to N=4 Super Yang-Mills theory, capturing Cartan U(1)^3 dynamics inside the full R-symmetry. For SU(2), we analyze the minimal 4D N=3 gauged SUGRA whose bosonic action is simply an Einstein-Yang-Mills system, which corresponds to SU(2) R-symmetry dynamics on M2-branes at a Hyper-Kahler cone. By generalizing the bosonic action to arbitrary dimensions and Lie groups, we present our analysis and results for any non-Abelian plasma in arbitrary dimensions.

10.427109

11.825156

12.040645

10.721922

11.295912

11.890803

11.178736

11.555216

10.445294

13.264499

10.157112

10.628615

10.822366

10.434624

10.46214

10.653524

10.745076

10.434835

10.559172

10.888848

10.221176

1007.1724

Andrew K. Waldron

Roberto Bonezzi, Emanuele Latini and Andrew Waldron

Gravity, Two Times, Tractors, Weyl Invariance and Six Dimensional Quantum Mechanics

27 pages, LaTeX

Phys.Rev.D82:064037,2010

10.1103/PhysRevD.82.064037

null

hep-th gr-qc math.DG

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Fefferman and Graham showed some time ago that four dimensional conformal geometries could be analyzed in terms of six dimensional, ambient, Riemannian geometries admitting a closed homothety. Recently it was shown how conformal geometry provides a description of physics manifestly invariant under local choices of unit systems. Strikingly, Einstein's equations are then equivalent to the existence of a parallel scale tractor (a six component vector subject to a certain first order covariant constancy condition at every point in four dimensional spacetime). These results suggest a six dimensional description of four dimensional physics, a viewpoint promulgated by the two times physics program of Bars. The Fefferman--Graham construction relies on a triplet of operators corresponding, respectively to a curved six dimensional light cone, the dilation generator and the Laplacian. These form an sp(2) algebra which Bars employs as a first class algebra of constraints in a six-dimensional gauge theory. In this article four dimensional gravity is recast in terms of six dimensional quantum mechanics by melding the two times and tractor approaches. This "parent" formulation of gravity is built from an infinite set of six dimensional fields. Successively integrating out these fields yields various novel descriptions of gravity including a new four dimensional one built from a scalar doublet, a tractor vector multiplet and a conformal class of metrics.

[ { "created": "Sat, 10 Jul 2010 14:53:55 GMT", "version": "v1" } ]

2014-11-21

[ [ "Bonezzi", "Roberto", "" ], [ "Latini", "Emanuele", "" ], [ "Waldron", "Andrew", "" ] ]

Fefferman and Graham showed some time ago that four dimensional conformal geometries could be analyzed in terms of six dimensional, ambient, Riemannian geometries admitting a closed homothety. Recently it was shown how conformal geometry provides a description of physics manifestly invariant under local choices of unit systems. Strikingly, Einstein's equations are then equivalent to the existence of a parallel scale tractor (a six component vector subject to a certain first order covariant constancy condition at every point in four dimensional spacetime). These results suggest a six dimensional description of four dimensional physics, a viewpoint promulgated by the two times physics program of Bars. The Fefferman--Graham construction relies on a triplet of operators corresponding, respectively to a curved six dimensional light cone, the dilation generator and the Laplacian. These form an sp(2) algebra which Bars employs as a first class algebra of constraints in a six-dimensional gauge theory. In this article four dimensional gravity is recast in terms of six dimensional quantum mechanics by melding the two times and tractor approaches. This "parent" formulation of gravity is built from an infinite set of six dimensional fields. Successively integrating out these fields yields various novel descriptions of gravity including a new four dimensional one built from a scalar doublet, a tractor vector multiplet and a conformal class of metrics.

12.459544

13.905033

15.030631

12.914735

14.945704

14.809447

14.33079

13.386081

13.485352

16.42387

13.002554

12.389218

12.672167

11.883363

11.772771

12.581051

12.940435

11.766128

12.215898

12.607787

12.379018

2112.10725

Davood Mahdavian Yekta

H. Babaei-Aghbolagh, Davood Mahdavian Yekta, Komeil Babaei Velni, H. Mohammadzadeh

Complexity growth in Gubser-Rocha models with momentum relaxation

25 pages, 3 figures and 1 table, Accepted for publication in EPJC. arXiv admin note: text overlap with arXiv:1808.09917 by other authors

null

10.1140/epjc/s10052-022-10253-9

IPM/P-2021/51

hep-th

http://creativecommons.org/licenses/by/4.0/

The Einstein-Maxwell-Axion-Dilaton (EMAD) theories, based on the Gubser-Rocha (GR) model, are very interesting in holographic calculations of strongly correlated systems in the condensed matter physics. Due to the presence of spatially dependent massless axionic scalar fields, the momentum is relaxed and we have no translational invariance at finite charge density. It would be of interest to study some aspects of quantum information theory for such systems in the context of $AdS/CFT$ where EMAD theory is a holographic dual theory. For instance, in this paper we investigate the complexity and its time dependence for charged $AdS$ black holes of EMAD theories in diverse dimensions via the complexity equals action (CA) conjecture. We will show that the growth rate of the holographic complexity violates the Lloyd's bound at finite times. However, as shown at late times, it depends on the strength of momentum relaxation and saturates the bound for these black holes.

[ { "created": "Mon, 20 Dec 2021 18:16:55 GMT", "version": "v1" }, { "created": "Tue, 5 Apr 2022 12:05:09 GMT", "version": "v2" } ]

2022-05-18

[ [ "Babaei-Aghbolagh", "H.", "" ], [ "Yekta", "Davood Mahdavian", "" ], [ "Velni", "Komeil Babaei", "" ], [ "Mohammadzadeh", "H.", "" ] ]

The Einstein-Maxwell-Axion-Dilaton (EMAD) theories, based on the Gubser-Rocha (GR) model, are very interesting in holographic calculations of strongly correlated systems in the condensed matter physics. Due to the presence of spatially dependent massless axionic scalar fields, the momentum is relaxed and we have no translational invariance at finite charge density. It would be of interest to study some aspects of quantum information theory for such systems in the context of $AdS/CFT$ where EMAD theory is a holographic dual theory. For instance, in this paper we investigate the complexity and its time dependence for charged $AdS$ black holes of EMAD theories in diverse dimensions via the complexity equals action (CA) conjecture. We will show that the growth rate of the holographic complexity violates the Lloyd's bound at finite times. However, as shown at late times, it depends on the strength of momentum relaxation and saturates the bound for these black holes.

9.636148

8.306745

11.207026

8.480128

8.33849

8.50687

8.444194

8.109302

8.282772

9.878144

8.114108

8.69335

9.580338

8.955317

8.902579

8.725188

8.966492

8.965398

8.894454

9.962045

8.888838

hep-th/9806202

Landau Network

A.Yu. Kamenshchik, I.M. Khalatnikov (Landau Institute for Theoretical Physics, Moscow), M. Martellini (University of Milan)

Comment about UV regularization of basic commutators in string theories

LaTeX, 9 pages, no figures, submitted to Physics Letters B

Phys.Rev. D59 (1999) 046005

10.1103/PhysRevD.59.046005

null

hep-th

null

Recently proposed by Hwang, Marnelius and Saltsidis zeta regularization of basic commutators in string theories is generalized to the string models with non-trivial vacuums. It is shown that implementation of this regularization implies the cancellation of dangerous terms in the commutators between Virasoro generators, which break Jacobi identity.

[ { "created": "Wed, 24 Jun 1998 15:43:09 GMT", "version": "v1" } ]

2009-10-31

[ [ "Kamenshchik", "A. Yu.", "", "Landau Institute for Theoretical\n Physics, Moscow" ], [ "Khalatnikov", "I. M.", "", "Landau Institute for Theoretical\n Physics, Moscow" ], [ "Martellini", "M.", "", "University of Milan" ] ]

Recently proposed by Hwang, Marnelius and Saltsidis zeta regularization of basic commutators in string theories is generalized to the string models with non-trivial vacuums. It is shown that implementation of this regularization implies the cancellation of dangerous terms in the commutators between Virasoro generators, which break Jacobi identity.

22.255781

23.800329

34.532356

18.679569

19.55489

23.098665

24.687344

20.735821

18.532829

25.431835

19.234873

16.831995

20.719969

17.985359

20.997519

19.078037

18.345718

19.270386

18.478443

20.159353

17.174623

hep-th/0507068

Mariusz Dabrowski P.

Mariusz P. Dabrowski, Tomasz Denkiewicz and David Blaschke

The conformal status of $\omega=-3/2$ Brans-Dicke cosmology

REVTEX4, 19 pages, 8 figures, references added

AnnalenPhys.16:237,2007

10.1002/andp.200610230

MPG-VT-UR 262/05

hep-th astro-ph gr-qc

null

Following recent fit of supernovae data to Brans-Dicke theory which favours the model with $\omega = - 3/2$ \cite{fabris} we discuss the status of this special case of Brans-Dicke cosmology in both isotropic and anisotropic framework. It emerges that the limit $\omega = -3/2$ is consistent only with the vacuum field equations and it makes such a Brans-Dicke theory conformally invariant. Then it is an example of the conformal relativity theory which allows the invariance with respect to conformal transformations of the metric. Besides, Brans-Dicke theory with $\omega = -3/2$ gives a border between a standard scalar field model and a ghost/phantom model. In this paper we show that in $\omega = -3/2$ Brans-Dicke theory, i.e., in the conformal relativity there are no isotropic Friedmann solutions of non-zero spatial curvature except for $k=-1$ case. Further we show that this $k=-1$ case, after the conformal transformation into the Einstein frame, is just the Milne universe and, as such, it is equivalent to Minkowski spacetime. It generally means that only flat models are fully consistent with the field equations. On the other hand, it is shown explicitly that the anisotropic non-zero spatial curvature models of Kantowski-Sachs type are admissible in $\omega = -3/2$ Brans-Dicke theory. It then seems that an additional scale factor which appears in anisotropic models gives an extra deegre of freedom and makes it less restrictive than in an isotropic Friedmann case.

[ { "created": "Thu, 7 Jul 2005 08:38:34 GMT", "version": "v1" }, { "created": "Mon, 18 Jul 2005 11:12:31 GMT", "version": "v2" }, { "created": "Mon, 2 Jan 2006 19:00:20 GMT", "version": "v3" }, { "created": "Fri, 6 Jan 2006 08:10:10 GMT", "version": "v4" } ]

2008-11-26

[ [ "Dabrowski", "Mariusz P.", "" ], [ "Denkiewicz", "Tomasz", "" ], [ "Blaschke", "David", "" ] ]

Following recent fit of supernovae data to Brans-Dicke theory which favours the model with $\omega = - 3/2$ \cite{fabris} we discuss the status of this special case of Brans-Dicke cosmology in both isotropic and anisotropic framework. It emerges that the limit $\omega = -3/2$ is consistent only with the vacuum field equations and it makes such a Brans-Dicke theory conformally invariant. Then it is an example of the conformal relativity theory which allows the invariance with respect to conformal transformations of the metric. Besides, Brans-Dicke theory with $\omega = -3/2$ gives a border between a standard scalar field model and a ghost/phantom model. In this paper we show that in $\omega = -3/2$ Brans-Dicke theory, i.e., in the conformal relativity there are no isotropic Friedmann solutions of non-zero spatial curvature except for $k=-1$ case. Further we show that this $k=-1$ case, after the conformal transformation into the Einstein frame, is just the Milne universe and, as such, it is equivalent to Minkowski spacetime. It generally means that only flat models are fully consistent with the field equations. On the other hand, it is shown explicitly that the anisotropic non-zero spatial curvature models of Kantowski-Sachs type are admissible in $\omega = -3/2$ Brans-Dicke theory. It then seems that an additional scale factor which appears in anisotropic models gives an extra deegre of freedom and makes it less restrictive than in an isotropic Friedmann case.

7.059752

7.053794

6.97717

7.052543

7.667985

7.591048

7.578545

7.242988

7.028337

7.266807

7.073645

7.10851

6.905286

6.884797

7.014511

6.817101

6.915531

6.866036

6.998533

6.918575

6.95035

hep-th/0511087

Hisham Sati

The Elliptic curves in gauge theory, string theory, and cohomology

23 pages, typos corrected, minor clarifications

JHEP 0603 (2006) 096

10.1088/1126-6708/2006/03/096

null

hep-th

null

Elliptic curves play a natural and important role in elliptic cohomology. In earlier work with I. Kriz, thes elliptic curves were interpreted physically in two ways: as corresponding to the intersection of M2 and M5 in the context of (the reduction of M-theory to) type IIA and as the elliptic fiber leading to F-theory for type IIB. In this paper we elaborate on the physical setting for various generalized cohomology theories, including elliptic cohomology, and we note that the above two seemingly unrelated descriptions can be unified using Sen's picture of the orientifold limit of F-theory compactification on K3, which unifies the Seiberg-Witten curve with the F-theory curve, and through which we naturally explain the constancy of the modulus that emerges from elliptic cohomology. This also clarifies the orbifolding performed in the previous work and justifies the appearance of the w_4 condition in the elliptic refinement of the mod 2 part of the partition function. We comment on the cohomology theory needed for the case when the modular parameter varies in the base of the elliptic fibration.

[ { "created": "Tue, 8 Nov 2005 04:02:18 GMT", "version": "v1" }, { "created": "Sat, 19 Nov 2005 22:06:18 GMT", "version": "v2" } ]

2009-11-11

[ [ "Sati", "Hisham", "" ] ]

Elliptic curves play a natural and important role in elliptic cohomology. In earlier work with I. Kriz, thes elliptic curves were interpreted physically in two ways: as corresponding to the intersection of M2 and M5 in the context of (the reduction of M-theory to) type IIA and as the elliptic fiber leading to F-theory for type IIB. In this paper we elaborate on the physical setting for various generalized cohomology theories, including elliptic cohomology, and we note that the above two seemingly unrelated descriptions can be unified using Sen's picture of the orientifold limit of F-theory compactification on K3, which unifies the Seiberg-Witten curve with the F-theory curve, and through which we naturally explain the constancy of the modulus that emerges from elliptic cohomology. This also clarifies the orbifolding performed in the previous work and justifies the appearance of the w_4 condition in the elliptic refinement of the mod 2 part of the partition function. We comment on the cohomology theory needed for the case when the modular parameter varies in the base of the elliptic fibration.

10.268895

11.675709

11.913672

10.436331

10.649746

11.847636

11.643723

10.782696

10.62746

13.560321

10.271238

9.986369

10.47285

10.181442

10.382516

10.118536

10.273734

10.235223

10.465831

10.716229

10.213369

hep-th/9607200

Peter Cho

Peter Cho and Per Kraus

Symplectic SUSY Gauge Theories with Antisymmetric Matter

21 pages, Revtex

Phys.Rev. D54 (1996) 7640-7649

10.1103/PhysRevD.54.7640

CALT-68-2062

hep-th hep-ph

null

We investigate the confining phase vacua of supersymmetric $Sp(2\NC)$ gauge theories that contain matter in both fundamental and antisymmetric representations. The moduli spaces of such models with $\NF=3$ quark flavors and $\NA=1$ antisymmetric field are analogous to that of SUSY QCD with $\NF=\NC+1$ flavors. In particular, the forms of their quantum superpotentials are fixed by classical constraints. When mass terms are coupled to $W_{(\NF=3,\NA=1)}$ and heavy fields are integrated out, complete towers of dynamically generated superpotentials for low energy theories with fewer numbers of matter fields can be derived. Following this approach, we deduce exact superpotentials in $Sp(4)$ and $Sp(6)$ theories which cannot be determined by symmetry considerations or integrating in techniques. Building upon these simple symplectic group results, we also examine the ground state structures of several $Sp(4) \times Sp(4)$ and $Sp(6) \times Sp(2)$ models. We emphasize that the top-down approach may be used to methodically find dynamical superpotentials in many other confining supersymmetric gauge theories.

[ { "created": "Thu, 25 Jul 1996 20:53:34 GMT", "version": "v1" } ]

2009-10-30

[ [ "Cho", "Peter", "" ], [ "Kraus", "Per", "" ] ]

We investigate the confining phase vacua of supersymmetric $Sp(2\NC)$ gauge theories that contain matter in both fundamental and antisymmetric representations. The moduli spaces of such models with $\NF=3$ quark flavors and $\NA=1$ antisymmetric field are analogous to that of SUSY QCD with $\NF=\NC+1$ flavors. In particular, the forms of their quantum superpotentials are fixed by classical constraints. When mass terms are coupled to $W_{(\NF=3,\NA=1)}$ and heavy fields are integrated out, complete towers of dynamically generated superpotentials for low energy theories with fewer numbers of matter fields can be derived. Following this approach, we deduce exact superpotentials in $Sp(4)$ and $Sp(6)$ theories which cannot be determined by symmetry considerations or integrating in techniques. Building upon these simple symplectic group results, we also examine the ground state structures of several $Sp(4) \times Sp(4)$ and $Sp(6) \times Sp(2)$ models. We emphasize that the top-down approach may be used to methodically find dynamical superpotentials in many other confining supersymmetric gauge theories.

9.825638

10.269605

10.603323

9.367795

10.315261

10.401519

9.648699

9.851746

9.34984

11.181866

9.390635

9.676348

9.825757

9.499051

9.65206

9.806263

9.418762

9.397897

9.626022

9.792936

9.433646

0801.3836

Josh Guffin

Josh Guffin and Eric Sharpe

A-twisted Landau-Ginzburg models

64 Pages, LaTeX

J. Geom. Phys. 59 (2009) 1547-1580

10.1016/j.geomphys.2009.07.014

VPI-IPNAS-08-01, ILL-TH-08-1

hep-th

null

In this paper we discuss correlation functions in certain A-twisted Landau-Ginzburg models. Although B-twisted Landau-Ginzburg models have been discussed extensively in the literature, virtually no work has been done on A-twisted theories. In particular, we study examples of Landau-Ginzburg models over topologically nontrivial spaces - not just vector spaces - away from large-radius limits, so that one expects nontrivial curve corrections. By studying examples of Landau-Ginzburg models in the same universality class as nonlinear sigma models on nontrivial Calabi-Yaus, we obtain nontrivial tests of our methods as well as a physical realization of some simple examples of virtual fundamental class computations.

[ { "created": "Thu, 24 Jan 2008 20:36:02 GMT", "version": "v1" } ]

2017-08-31

[ [ "Guffin", "Josh", "" ], [ "Sharpe", "Eric", "" ] ]

In this paper we discuss correlation functions in certain A-twisted Landau-Ginzburg models. Although B-twisted Landau-Ginzburg models have been discussed extensively in the literature, virtually no work has been done on A-twisted theories. In particular, we study examples of Landau-Ginzburg models over topologically nontrivial spaces - not just vector spaces - away from large-radius limits, so that one expects nontrivial curve corrections. By studying examples of Landau-Ginzburg models in the same universality class as nonlinear sigma models on nontrivial Calabi-Yaus, we obtain nontrivial tests of our methods as well as a physical realization of some simple examples of virtual fundamental class computations.

8.746429

8.082413

10.229973

7.833869

7.517695

8.296745

7.400332

7.905278

7.589463

11.143082

7.957408

8.177357

9.288722

8.296047

8.142208

8.435307

8.448697

8.351545

8.302349

9.501234

8.312314

0812.3617

Agostino Patella

Luigi Del Debbio, Agostino Patella

Center symmetry and the orientifold planar equivalence

27 pages, 7 eps figures

JHEP 0903:071,2009

10.1088/1126-6708/2009/03/071

null

hep-th hep-lat

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study the center symmetry of SU(N) gauge theories with fermions in the two-index representations, by computing the effective potential of the Polyakov loop in the large-mass expansion on the lattice. In the large-N limit and at non-zero temperature, we find that the center symmetry is Z_N for fermions in the adjoint representation and just Z_2 for fermions in the (anti)symmetric representation. We discuss the fact that our results do not contradict the orientifold planar equivalence, which relates a common sector defined by the bosonic gauge-invariant C-even states of theories with fermions in different two-index representations. Our results complement the work of Armoni et al. (2007), who showed how at zero temperature a Z_N center symmetry is dynamically recovered also for fermions in the (anti)symmetric representation, by considering the theories at finite temperature.

[ { "created": "Thu, 18 Dec 2008 18:36:18 GMT", "version": "v1" } ]

2011-06-24

[ [ "Del Debbio", "Luigi", "" ], [ "Patella", "Agostino", "" ] ]

We study the center symmetry of SU(N) gauge theories with fermions in the two-index representations, by computing the effective potential of the Polyakov loop in the large-mass expansion on the lattice. In the large-N limit and at non-zero temperature, we find that the center symmetry is Z_N for fermions in the adjoint representation and just Z_2 for fermions in the (anti)symmetric representation. We discuss the fact that our results do not contradict the orientifold planar equivalence, which relates a common sector defined by the bosonic gauge-invariant C-even states of theories with fermions in different two-index representations. Our results complement the work of Armoni et al. (2007), who showed how at zero temperature a Z_N center symmetry is dynamically recovered also for fermions in the (anti)symmetric representation, by considering the theories at finite temperature.

7.221764

6.919383

7.870417

7.037629

6.742894

7.166261

7.397734

6.712475

7.008827

8.553416

6.910933

6.762424

6.921443

6.735443

6.797896

6.880866

7.064994

6.757768

6.84847

6.990198

6.667098

1009.2887

Giampiero Esposito Dr.

Giampiero Esposito, Raju Roychowdhury, Claudio Rubano, Paolo Scudellaro

On the transition from complex to real scalar fields in modern cosmology

21 pages, 6 figures. In the new version, sections I, IV and VI have been improved, and two words have been added at the beginning of the title

null

10.1142/S0219887811005956

DSF 2010/10

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study some problems arising from the introduction of a complex scalar field in cosmology, modelling its possible behaviors in both the inflationary and dark energy stages of the universe. Such examples contribute to show that, while the complex nature of the scalar field can be indeed important during inflation, it loses its meaning in the later dark-energy dominated era of cosmology, when the phase of the complex field is practically constant, and there is indeed a transition from complex to real scalar field. In our considerations, the Noether symmetry approach turns out to be a useful tool once again. We arrive eventually at a potential containing the sixth and fourth powers of the scalar field, and the resulting semiclassical quantum cosmology is studied to gain a better understanding of the inflationary stage.

[ { "created": "Wed, 15 Sep 2010 10:13:35 GMT", "version": "v1" }, { "created": "Thu, 18 Nov 2010 13:14:32 GMT", "version": "v2" }, { "created": "Tue, 5 Apr 2011 14:47:15 GMT", "version": "v3" } ]

2015-05-19

[ [ "Esposito", "Giampiero", "" ], [ "Roychowdhury", "Raju", "" ], [ "Rubano", "Claudio", "" ], [ "Scudellaro", "Paolo", "" ] ]

We study some problems arising from the introduction of a complex scalar field in cosmology, modelling its possible behaviors in both the inflationary and dark energy stages of the universe. Such examples contribute to show that, while the complex nature of the scalar field can be indeed important during inflation, it loses its meaning in the later dark-energy dominated era of cosmology, when the phase of the complex field is practically constant, and there is indeed a transition from complex to real scalar field. In our considerations, the Noether symmetry approach turns out to be a useful tool once again. We arrive eventually at a potential containing the sixth and fourth powers of the scalar field, and the resulting semiclassical quantum cosmology is studied to gain a better understanding of the inflationary stage.

13.705319

14.12748

13.108912

13.181801

12.947875

13.772059

13.804292

12.975874

13.297755

13.275087

13.645379

13.612888

12.848921

12.989977

13.035884

13.25254

13.317389

12.552273

13.001146

13.43663

13.598336

1210.5008

Leonardo Mondaini

Obtaining a closed-form representation for the dual bosonic thermal Green function by using methods of integration on the complex plane

To appear in Rev. Bras. Ens. Fis., 7 pages

Rev. Bras. Ens. Fis. 34, 3305 (2012)

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We derive an exact closed-form representation for the Euclidean thermal Green function of the two-dimensional (2D) free massless scalar field in coordinate space. This can be interpreted as the real part of a complex analytic function of a variable that conformally maps the infinite strip $-\infty<x<\infty$ ($0<\tau<\beta$) of the $z=x+i\tau$ ($\tau$: imaginary time) plane into the upper-half-plane. Use of the Cauchy-Riemann conditions, then allows us to identify the dual thermal Green function as the imaginary part of that function.

[ { "created": "Thu, 18 Oct 2012 02:14:20 GMT", "version": "v1" } ]

2012-10-23

[ [ "Mondaini", "Leonardo", "" ] ]

We derive an exact closed-form representation for the Euclidean thermal Green function of the two-dimensional (2D) free massless scalar field in coordinate space. This can be interpreted as the real part of a complex analytic function of a variable that conformally maps the infinite strip $-\infty<x<\infty$ ($0<\tau<\beta$) of the $z=x+i\tau$ ($\tau$: imaginary time) plane into the upper-half-plane. Use of the Cauchy-Riemann conditions, then allows us to identify the dual thermal Green function as the imaginary part of that function.

6.755188

7.320735

7.546813

7.008245

7.258057

7.424216

6.937768

6.830454

6.051867

6.893085

6.398021

6.539035

6.650074

6.343747

6.412211

6.435849

6.422783

6.313749

6.308424

6.622015

6.136276

hep-th/0102207

Archil Kobakhidze

Z. Berezhiani, M. Chaichian, A.B. Kobakhidze and Z.-H. Yu

Vanishing of cosmological constant and fully localized gravity in a Brane World with extra time(s)

15 pages, comments and references added, version accepted in Phys. Lett. B

Phys.Lett. B517 (2001) 387-396

10.1016/S0370-2693(01)01022-X

HIP-2001-04/TH

hep-th hep-ph

null

We construct an intersecting brane configuration in six-dimensional space with one extra space-like and one extra time-like dimensions. With a certain additional symmetry imposed on the extra space-time we have found that effective four-dimensional cosmological constant vanishes automatically, providing the static solution with gravity fully localized at the intersection region as there are no propagating massive modes of graviton. In this way, the same symmetry allows us to eliminate tachyonic states of graviton from the spectrum of the effective four-dimensional theory, thus avoiding phenomenological difficulties comming from the matter instability usually induced in theories with extra time-like dimensions.

[ { "created": "Wed, 28 Feb 2001 15:16:47 GMT", "version": "v1" }, { "created": "Thu, 16 Aug 2001 08:19:46 GMT", "version": "v2" } ]

2009-11-07

[ [ "Berezhiani", "Z.", "" ], [ "Chaichian", "M.", "" ], [ "Kobakhidze", "A. B.", "" ], [ "Yu", "Z. -H.", "" ] ]

We construct an intersecting brane configuration in six-dimensional space with one extra space-like and one extra time-like dimensions. With a certain additional symmetry imposed on the extra space-time we have found that effective four-dimensional cosmological constant vanishes automatically, providing the static solution with gravity fully localized at the intersection region as there are no propagating massive modes of graviton. In this way, the same symmetry allows us to eliminate tachyonic states of graviton from the spectrum of the effective four-dimensional theory, thus avoiding phenomenological difficulties comming from the matter instability usually induced in theories with extra time-like dimensions.

16.136951

16.838594

14.249796

14.026382

14.592907

15.808924

14.94311

14.522734

14.510588

17.070976

14.907262

14.884026

15.105787

14.25059

15.488794

14.480728

15.336094

14.638158

14.520379

14.924133

14.584775

0801.2306

Michael Bordag

M. Bordag, V.Skalozub

Polarization tensor of charged gluons in color magnetic background field at finite temperature

28 pages, submitted to Phys.Rev.D

Phys.Rev.D77:105013,2008

10.1103/PhysRevD.77.105013

null

hep-th

null

We calculate the polarization tensor of charged gluons in a Abelian homogeneous magnetic background field at finite temperature in one loop order Lorentz background field gauge in full generality. Thereby we first determine the ten independent tensor structures. For the calculation of the corresponding form factors we use the Schwinger representation and represent form factors as double parametric integrals and a sum resulting from the Matsubara formalism used. The integrands are given explicitly in terms of hyperbolic trigonometric functions. Like in the case of neutral gluons, the polarization tensor is not transversal. Out of the tensor structures, seven are transversal and three are not. The nontransversal part follows explicitly from our calculations.

[ { "created": "Tue, 15 Jan 2008 14:22:26 GMT", "version": "v1" } ]

2008-11-26

[ [ "Bordag", "M.", "" ], [ "Skalozub", "V.", "" ] ]

We calculate the polarization tensor of charged gluons in a Abelian homogeneous magnetic background field at finite temperature in one loop order Lorentz background field gauge in full generality. Thereby we first determine the ten independent tensor structures. For the calculation of the corresponding form factors we use the Schwinger representation and represent form factors as double parametric integrals and a sum resulting from the Matsubara formalism used. The integrands are given explicitly in terms of hyperbolic trigonometric functions. Like in the case of neutral gluons, the polarization tensor is not transversal. Out of the tensor structures, seven are transversal and three are not. The nontransversal part follows explicitly from our calculations.

11.66433

10.416481

12.199162

10.724192

10.883702

11.287222

10.82849

10.632126

11.065231

13.651484

11.664513

11.077394

11.246514

10.436104

10.607682

10.652095

10.382865

10.748479

11.101287

10.735039

11.054715

1810.06954

Mariana Carrillo-Gonzalez

Mariana Carrillo-Gonzalez, Robert F. Penna

Asymptotic symmetries of three dimensional gravity and the membrane paradigm

15 pages

null

10.1007/JHEP02(2019)125

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The asymptotic symmetry group of three-dimensional (anti) de Sitter space is the two dimensional conformal group with central charge $c=3\ell/2G$. Usually the asymptotic charge algebra is derived using the symplectic structure of the bulk Einstein equations. Here, we derive the asymptotic charge algebra by a different route. First, we formulate the dynamics of the boundary as a 1+1-dimensional dynamical system. Then we realize the boundary equations of motion as a Hamiltonian system on the dual Lie algebra, $\mathfrak{g}^*$, of the two-dimensional conformal group. Finally, we use the Lie-Poisson bracket on $\mathfrak{g}^*$ to compute the asymptotic charge algebra. This streamlines the derivation of the asymptotic charge algebra because the Lie-Poisson bracket on the boundary is significantly simpler than the symplectic structure derived from the bulk Einstein equations. It also clarifies the analogy between the infinite dimensional symmetries of gravity and fluid dynamics.

[ { "created": "Tue, 16 Oct 2018 12:36:19 GMT", "version": "v1" } ]

2019-03-27

[ [ "Carrillo-Gonzalez", "Mariana", "" ], [ "Penna", "Robert F.", "" ] ]

The asymptotic symmetry group of three-dimensional (anti) de Sitter space is the two dimensional conformal group with central charge $c=3\ell/2G$. Usually the asymptotic charge algebra is derived using the symplectic structure of the bulk Einstein equations. Here, we derive the asymptotic charge algebra by a different route. First, we formulate the dynamics of the boundary as a 1+1-dimensional dynamical system. Then we realize the boundary equations of motion as a Hamiltonian system on the dual Lie algebra, $\mathfrak{g}^*$, of the two-dimensional conformal group. Finally, we use the Lie-Poisson bracket on $\mathfrak{g}^*$ to compute the asymptotic charge algebra. This streamlines the derivation of the asymptotic charge algebra because the Lie-Poisson bracket on the boundary is significantly simpler than the symplectic structure derived from the bulk Einstein equations. It also clarifies the analogy between the infinite dimensional symmetries of gravity and fluid dynamics.

4.648603

4.301666

4.738173

4.45927

4.566989

4.631166

4.64219

4.260908

4.507342

5.058889

4.374257

4.253272

4.573801

4.233078

4.414612

4.35554

4.343341

4.295576

4.371511

4.488744

4.479702

2110.05793

Mahsa Lezgi

Mohammad Ali-Akbari, Mahsa Lezgi

Note on stability and holographic subregion complexity

null

10.1140/epjc/s10052-022-10071-z

null

hep-th

http://creativecommons.org/publicdomain/zero/1.0/

We study holographic subregion complexity in a spatially anisotropic field theory, which expresses a confinement-deconfinement phase transition. Its holographic dual is a five-dimensional anisotropic holographic model characterized by a Van der Waals-like phase transition between small and large black holes. We propose a new interpretation from the informational perspective to determine the stable and unstable thermodynamically solutions. According to this proposal, the states which need (more) less information to be specified characterize the (un) stable solutions. We similarly offer an interpretation to determine the stable and unstable solutions based on the resource of a computational machine, such that the solutions are (un) stable if computational resource (decreases) increases with the increase of temperature. We observe that the effect of anisotropy on holographic subregion complexity is decreasing. This decreasing effect can be interpreted by considering a whole closed system consisting of the state and its environment in which the complexity of the mixed state decreases and complexity of the environment increases.

[ { "created": "Tue, 12 Oct 2021 07:44:17 GMT", "version": "v1" } ]

2022-02-23

[ [ "Ali-Akbari", "Mohammad", "" ], [ "Lezgi", "Mahsa", "" ] ]

We study holographic subregion complexity in a spatially anisotropic field theory, which expresses a confinement-deconfinement phase transition. Its holographic dual is a five-dimensional anisotropic holographic model characterized by a Van der Waals-like phase transition between small and large black holes. We propose a new interpretation from the informational perspective to determine the stable and unstable thermodynamically solutions. According to this proposal, the states which need (more) less information to be specified characterize the (un) stable solutions. We similarly offer an interpretation to determine the stable and unstable solutions based on the resource of a computational machine, such that the solutions are (un) stable if computational resource (decreases) increases with the increase of temperature. We observe that the effect of anisotropy on holographic subregion complexity is decreasing. This decreasing effect can be interpreted by considering a whole closed system consisting of the state and its environment in which the complexity of the mixed state decreases and complexity of the environment increases.

11.507527

9.942965

12.667144

10.236265

10.755038

10.136765

10.747905

10.639972

10.442164

13.125274

10.501987

10.960524

11.250063

10.506632

10.790199

11.093887

10.763665

11.070437

10.790629

11.136163

10.87278

hep-th/9512057

Gennady Danilov

G. S. Danilov

Unimodular transformations of the supermanifolds and the calculation of the multi-loop amplitudes in the superstring theory

44 pages, LATEX

Nucl.Phys.B463:443-488,1996

10.1016/0550-3213(96)00006-5

Preprint PNPI-2075, 1995

hep-th

null

The modular transformations of the $(1|1)$ complex supermanifolds in the like-Schottky modular parameterization are discussed. It is shown that these "supermodular" transformations depend on the spinor structure of the supermanifold by terms proportional to the odd modular parameters. The above terms are calculated in the explicit form. They are urgent for the divergency problem in the Ramond-Neveu-Schwarz superstring theory and for calculating the fundamental domain in the modular space. The supermodular transformations of the multi-loop superstring partition functions calculated by the solution of the Ward identities are studied. The above Ward identities are shown to be covariant under the supermodular transformations. So the partition functions necessarily possess the covariance under the transformations discussed. It is demonstrated explicitly the covariance of the above partition functions at zero odd moduli under those supermodular transformations, which turn a pair of even genus-1 spinor structures to a pair of the odd genus-1 spinor ones. The brief consideration of the cancellation of divergences is given.

[ { "created": "Fri, 8 Dec 1995 13:35:17 GMT", "version": "v1" } ]

2011-07-19

[ [ "Danilov", "G. S.", "" ] ]

The modular transformations of the $(1|1)$ complex supermanifolds in the like-Schottky modular parameterization are discussed. It is shown that these "supermodular" transformations depend on the spinor structure of the supermanifold by terms proportional to the odd modular parameters. The above terms are calculated in the explicit form. They are urgent for the divergency problem in the Ramond-Neveu-Schwarz superstring theory and for calculating the fundamental domain in the modular space. The supermodular transformations of the multi-loop superstring partition functions calculated by the solution of the Ward identities are studied. The above Ward identities are shown to be covariant under the supermodular transformations. So the partition functions necessarily possess the covariance under the transformations discussed. It is demonstrated explicitly the covariance of the above partition functions at zero odd moduli under those supermodular transformations, which turn a pair of even genus-1 spinor structures to a pair of the odd genus-1 spinor ones. The brief consideration of the cancellation of divergences is given.

12.319111

13.383199

13.375394

12.642715

13.480452

12.943098

13.323296

12.137523

12.101703

15.570521

12.103983

12.050941

12.122504

11.557408

12.206565

11.917973

12.620625

11.743437

11.771921

12.446312

11.597159

1807.01792

Mehrab Momennia

Mehrab Momennia, Seyed Hossein Hendi and Fatemeh Soltani Bidgoli

Stability and Quasinormal Modes of Black Holes in Conformal Weyl Gravity

16 pages with 8 captioned figures and 5 tables. Published version

Phys. Lett. B 813 (2021) 136028

10.1016/j.physletb.2020.136028

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this paper, we first investigate the thermal stability of black holes in conformal Weyl gravity with a comparison with the Schwarzschild black holes. Then, we consider a minimally coupled massive scalar perturbation and calculate the quasinormal modes in asymptotically dS spacetime by employing the sixth order WKB approximation and asymptotic iteration method. The deviations from those of the Schwarzschild-dS solutions are obtained and the possibility of the presence of quasi-resonance modes for Weyl black hole solutions is investigated. Finally, we consider a massless scalar perturbation in the background of asymptotically AdS solutions and calculate the quasinormal modes by using the pseudospectral method. The effects of the free parameter of the theory on the quasinormal modes are studied and deviations from those of the Schwarzschild-AdS black holes are investigated. The imaginary part of quasinormal frequencies in AdS spacetime is the time scale of a thermal state (in the conformal field theory) to approach thermal equilibrium.

[ { "created": "Wed, 4 Jul 2018 21:35:44 GMT", "version": "v1" }, { "created": "Tue, 7 May 2019 05:47:54 GMT", "version": "v2" }, { "created": "Tue, 22 Dec 2020 08:36:40 GMT", "version": "v3" } ]

2022-08-09

[ [ "Momennia", "Mehrab", "" ], [ "Hendi", "Seyed Hossein", "" ], [ "Bidgoli", "Fatemeh Soltani", "" ] ]

In this paper, we first investigate the thermal stability of black holes in conformal Weyl gravity with a comparison with the Schwarzschild black holes. Then, we consider a minimally coupled massive scalar perturbation and calculate the quasinormal modes in asymptotically dS spacetime by employing the sixth order WKB approximation and asymptotic iteration method. The deviations from those of the Schwarzschild-dS solutions are obtained and the possibility of the presence of quasi-resonance modes for Weyl black hole solutions is investigated. Finally, we consider a massless scalar perturbation in the background of asymptotically AdS solutions and calculate the quasinormal modes by using the pseudospectral method. The effects of the free parameter of the theory on the quasinormal modes are studied and deviations from those of the Schwarzschild-AdS black holes are investigated. The imaginary part of quasinormal frequencies in AdS spacetime is the time scale of a thermal state (in the conformal field theory) to approach thermal equilibrium.

5.723618

5.44436

5.024037

4.808569

5.474821

5.194319

5.626647

4.519267

5.362581

4.85099

5.688833

5.317187

5.060603

5.227436

5.275178

5.303974

5.544045

4.944625

5.353823

5.126201

5.29163

hep-th/9502014

Jean-Marc Daul

Jean-Marc DAUL

Q-states Potts model on a random planar lattice

12 pages, 1 PostScript figure, with epsf

null

LPTENS 94-

hep-th

null

We propose a matrix-model derivation of the scaling exponents of the critical and tricritical q-states Potts model coupled to gravity on a sphere. In close analogy with the $O(n)$ model, we reduce the determination of the one-loop-to-vacuum expectation to the resolution of algebraic equations; and find the explicit scaling law for the case q=3.

[ { "created": "Thu, 2 Feb 1995 11:56:57 GMT", "version": "v1" } ]

2016-09-06

[ [ "DAUL", "Jean-Marc", "" ] ]

We propose a matrix-model derivation of the scaling exponents of the critical and tricritical q-states Potts model coupled to gravity on a sphere. In close analogy with the $O(n)$ model, we reduce the determination of the one-loop-to-vacuum expectation to the resolution of algebraic equations; and find the explicit scaling law for the case q=3.

16.686771

17.246378

15.708776

16.132051

17.05024

18.204197

15.896439

16.675169

15.070634

19.994442

16.79747

16.482906

15.940804

15.533702

16.913828

16.37994

16.303347

16.726088

15.999828

16.556763

16.732067

hep-th/0006024

Miao Li

Black Holes and Spacetime Physics in String/M Theory

33 pages, harvmac

null

hep-th gr-qc hep-ph

null

In addition to briefly reviewing recent progress in studying black hole physics in string/M theory, we describe several robust features pertaining to spacetime physics that one can glean by studying quantum physics of black holes. In particular, we review 't Hooft's S-matrix ansatz which results in a noncommutative horizon. A recent construction of fuzzy AdS2 is emphasized, this is a nice toy model for fuzzy black hole horizon. We demonstrate that this model captures some nonperturbative features of quantum gravity.

[ { "created": "Mon, 5 Jun 2000 14:09:45 GMT", "version": "v1" } ]

2007-05-23

[ [ "Li", "Miao", "" ] ]

In addition to briefly reviewing recent progress in studying black hole physics in string/M theory, we describe several robust features pertaining to spacetime physics that one can glean by studying quantum physics of black holes. In particular, we review 't Hooft's S-matrix ansatz which results in a noncommutative horizon. A recent construction of fuzzy AdS2 is emphasized, this is a nice toy model for fuzzy black hole horizon. We demonstrate that this model captures some nonperturbative features of quantum gravity.

15.562478

13.744836

16.101494

14.372013

14.785785

16.015087

13.358347

13.584484

14.258785

16.189648

14.591254

14.237836

14.559861

14.089524

15.067724

15.079993

14.943772

13.687999

14.564964

14.762807

14.590733

hep-th/9607124

Jeremy S. Heyl

Jeremy S. Heyl and Lars Hernquist

An Analytic Form for the Effective Lagrangian of QED and its Application to Pair Production and Photon Splitting

ReVTeX, 9 pages, 4 figures, to be published in Phys. Rev. D

Phys.Rev. D55 (1997) 2449-2454

10.1103/PhysRevD.55.2449

null

hep-th astro-ph

null

We derive an analytic form for the Heisenberg-Euler Lagrangian in the limit where the component of the electric field parallel to the magnetic field is small. We expand these analytic functions to all orders in the field strength ($F_{\mu\nu}F^{\mu\nu}$) in the limits of weak and strong fields, and use these functions to estimate the pair-production rate in arbitrarily strong electric fields and the photon-splitting rate in arbitrarily strong magnetic fields.

[ { "created": "Mon, 15 Jul 1996 22:02:42 GMT", "version": "v1" } ]

2009-10-30

[ [ "Heyl", "Jeremy S.", "" ], [ "Hernquist", "Lars", "" ] ]

We derive an analytic form for the Heisenberg-Euler Lagrangian in the limit where the component of the electric field parallel to the magnetic field is small. We expand these analytic functions to all orders in the field strength ($F_{\mu\nu}F^{\mu\nu}$) in the limits of weak and strong fields, and use these functions to estimate the pair-production rate in arbitrarily strong electric fields and the photon-splitting rate in arbitrarily strong magnetic fields.

6.141077

6.324913

5.803249

5.367451

5.606636

5.624126

5.841646

5.859613

5.530637

5.926682

5.49456

5.872404

5.313743

5.487991

5.724268

5.558416

5.715539

5.379034

5.594485

5.406192

5.577193

hep-th/9806052

Kenji Mohri

Kenji Mohri (KEK)

K\"ahler Moduli Space of a D-Brane at Orbifold Singularities

41 pages (double spacing version)

Commun.Math.Phys. 202 (1999) 669-699

10.1007/s002200050601

null

hep-th

null

We develop a method to analyze systematically the configuration space of a D-brane localized at the orbifold singular point of a Calabi--Yau $d$-fold of the form ${\Bbb C}^d/\Gamma$ using the theory of toric quotients. This approach elucidates the structure of the K\"ahler moduli space associated with the problem. As an application, we compute the toric data of the $\Gamma$-Hilbert scheme.

[ { "created": "Mon, 8 Jun 1998 05:08:59 GMT", "version": "v1" }, { "created": "Tue, 9 Jun 1998 04:14:26 GMT", "version": "v2" }, { "created": "Wed, 10 Jun 1998 03:12:24 GMT", "version": "v3" } ]

2009-10-31

[ [ "Mohri", "Kenji", "", "KEK" ] ]

We develop a method to analyze systematically the configuration space of a D-brane localized at the orbifold singular point of a Calabi--Yau $d$-fold of the form ${\Bbb C}^d/\Gamma$ using the theory of toric quotients. This approach elucidates the structure of the K\"ahler moduli space associated with the problem. As an application, we compute the toric data of the $\Gamma$-Hilbert scheme.

7.516108

8.178522

8.695939

7.595536

7.859637

7.828517

7.288403

6.882715

7.527976

9.584663

7.542845

7.494745

8.36804

7.380534

7.11603

7.235021

7.106529

7.410725

7.284781

7.939873

7.389562

0808.2060

Anirban Basu

Constraining the D3-brane effective action

22 pages, LaTeX

JHEP 0809:124,2008

10.1088/1126-6708/2008/09/124

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We consider higher derivative corrections of the type D^{2k} R^2 in the effective action of the D3-brane with trivial normal bundle. Based on the perturbative disc and annulus amplitudes, and constraints of supersymmetry and duality, we argue that these interactions are protected, at least for small values of k. Their coefficient functions receive only a finite number of perturbative contributions, and non-perturbative contributions from D-instantons. We propose expressions for these modular forms for low values of k.

[ { "created": "Thu, 14 Aug 2008 20:38:40 GMT", "version": "v1" } ]

2014-11-18

[ [ "Basu", "Anirban", "" ] ]

We consider higher derivative corrections of the type D^{2k} R^2 in the effective action of the D3-brane with trivial normal bundle. Based on the perturbative disc and annulus amplitudes, and constraints of supersymmetry and duality, we argue that these interactions are protected, at least for small values of k. Their coefficient functions receive only a finite number of perturbative contributions, and non-perturbative contributions from D-instantons. We propose expressions for these modular forms for low values of k.

8.720988

7.714558

11.3207

7.733821

7.44769

7.661578

7.450227

8.066481

7.445433

10.99828

7.808935

7.983823

9.760905

8.097368

7.775846

8.105062

7.842708

8.215184

7.858415

9.840126

8.118813

hep-th/0006136

Dariusz Chruscinski

D. Chruscinski

Quasi-local structure of p-form theory

25 pages, LaTeX

Acta Phys.Polon. B32 (2001) 147-182

null

hep-th

null

We show that the Hamiltonian dynamics of the self-interacting, abelian p-form theory in D=2p+2 dimensional space-time gives rise to the quasi-local structure. Roughly speaking, it means that the field energy is localized but on closed 2p-dimensional surfaces (quasi-localized). From the mathematical point of view this approach is implied by the boundary value problem for the corresponding field equations. Various boundary problems, e.g. Dirichlet or Neumann, lead to different Hamiltonian dynamics. Physics seems to prefer gauge-invariant, positively defined Hamiltonians which turn out to be quasi-local. Our approach is closely related with the standard two-potential formulation and enables one to generate e.g. duality transformations in a perfectly local way (but with respect to a new set of nonlocal variables). Moreover, the form of the quantization condition displays very similar structure to that of the symplectic form of the underlying p-form theory expressed in the quasi-local language.

[ { "created": "Mon, 19 Jun 2000 08:07:18 GMT", "version": "v1" }, { "created": "Mon, 26 Jun 2000 09:46:36 GMT", "version": "v2" } ]

2007-05-23

[ [ "Chruscinski", "D.", "" ] ]

We show that the Hamiltonian dynamics of the self-interacting, abelian p-form theory in D=2p+2 dimensional space-time gives rise to the quasi-local structure. Roughly speaking, it means that the field energy is localized but on closed 2p-dimensional surfaces (quasi-localized). From the mathematical point of view this approach is implied by the boundary value problem for the corresponding field equations. Various boundary problems, e.g. Dirichlet or Neumann, lead to different Hamiltonian dynamics. Physics seems to prefer gauge-invariant, positively defined Hamiltonians which turn out to be quasi-local. Our approach is closely related with the standard two-potential formulation and enables one to generate e.g. duality transformations in a perfectly local way (but with respect to a new set of nonlocal variables). Moreover, the form of the quantization condition displays very similar structure to that of the symplectic form of the underlying p-form theory expressed in the quasi-local language.

14.061884

12.989159

14.042339

12.636979

12.600281

13.700968

12.905633

12.806212

13.198441

14.358463

12.830759

13.113888

13.81163

13.005732

13.049301

13.44102

13.362828

13.460816

13.183486

13.907307

12.686592

hep-th/0307059

Amir Masoud Ghezelbash

R. Clarkson, A.M. Ghezelbash, R.B. Mann

Entropic N-bound and Maximal Mass Conjecture Violations in Four Dimensional Taub-Bolt(NUT)-dS Spacetimes

37 pages, 22 figures, 3 tables, few typos corrected, version to appear in Nucl. Phys. B

Nucl.Phys. B674 (2003) 329-364

10.1016/j.nuclphysb.2003.09.039

null

hep-th gr-qc

null

We show that the class of four-dimensional Taub-Bolt(NUT) spacetimes with positive cosmological constant for some values of NUT charges are stable and have entropies that are greater than that of de Sitter spacetime, in violation of the entropic N-bound conjecture. We also show that the maximal mass conjecture, which states "any asymptotically dS spacetime with mass greater than dS has a cosmological singularity", can be violated as well. Our calculation of conserved mass and entropy is based on an extension of the path integral formulation to asymptotically de Sitter spacetimes.

[ { "created": "Sun, 6 Jul 2003 00:01:21 GMT", "version": "v1" }, { "created": "Fri, 31 Oct 2003 17:49:56 GMT", "version": "v2" } ]

2007-05-23

[ [ "Clarkson", "R.", "" ], [ "Ghezelbash", "A. M.", "" ], [ "Mann", "R. B.", "" ] ]

We show that the class of four-dimensional Taub-Bolt(NUT) spacetimes with positive cosmological constant for some values of NUT charges are stable and have entropies that are greater than that of de Sitter spacetime, in violation of the entropic N-bound conjecture. We also show that the maximal mass conjecture, which states "any asymptotically dS spacetime with mass greater than dS has a cosmological singularity", can be violated as well. Our calculation of conserved mass and entropy is based on an extension of the path integral formulation to asymptotically de Sitter spacetimes.

8.94665

7.163522

9.607893

8.000149

7.380378

7.707019

6.999004

7.661808

7.465535

10.0403

7.278409

7.795179

8.080074

8.066235

7.940704

7.994903

7.676498

8.130138

7.864285

8.418205

7.800128

hep-th/9612185

Manfred Requardt

Emergence of Space-Time on the Planck Scale within the Scheme of Dynamical Cellular Networks and Random Graphs

5 pages, Latex

null

Re-96-04

hep-th gr-qc

null

The following is a short report about recent work on discrete physics/mathematics on the Planckscale and the use of the concept of ''random graphs'' in this business, appearing in the group21-proceedings (Gosslar 1996)

[ { "created": "Wed, 18 Dec 1996 09:33:51 GMT", "version": "v1" } ]

2007-05-23

[ [ "Requardt", "Manfred", "" ] ]

The following is a short report about recent work on discrete physics/mathematics on the Planckscale and the use of the concept of ''random graphs'' in this business, appearing in the group21-proceedings (Gosslar 1996)

37.129623

48.233364

40.533157

39.335201

46.534046

49.128967

46.537716

34.975243

36.248016

41.837734

38.230179

37.358604

42.531952

41.207787

42.226551

40.09441

39.681965

40.205021

43.133034

40.431946

38.793343

hep-th/0503198

Anastasia Volovich

Ruth Britto, Bo Feng, Radu Roiban, Marcus Spradlin, Anastasia Volovich

All Split Helicity Tree-Level Gluon Amplitudes

15 pages, harvmac, v2: typos corrected

Phys.Rev. D71 (2005) 105017

10.1103/PhysRevD.71.105017

PUPT-2157, NSF-KITP-05-18

hep-th hep-ph

null

Recently a new recursion relation for tree-level gluon amplitudes in gauge theory has been discovered. We solve this recursion to obtain explicit formulas for the closed set of amplitudes with arbitrarily many positive and negative helicity gluons in a split helicity configuration. The solution admits a simple diagrammatic expansion in terms of zigzag diagrams. We comment on generalizations of this result.

[ { "created": "Fri, 25 Mar 2005 03:00:58 GMT", "version": "v1" }, { "created": "Tue, 18 Apr 2006 14:39:16 GMT", "version": "v2" } ]

2009-11-11

[ [ "Britto", "Ruth", "" ], [ "Feng", "Bo", "" ], [ "Roiban", "Radu", "" ], [ "Spradlin", "Marcus", "" ], [ "Volovich", "Anastasia", "" ] ]

Recently a new recursion relation for tree-level gluon amplitudes in gauge theory has been discovered. We solve this recursion to obtain explicit formulas for the closed set of amplitudes with arbitrarily many positive and negative helicity gluons in a split helicity configuration. The solution admits a simple diagrammatic expansion in terms of zigzag diagrams. We comment on generalizations of this result.

9.965912

8.001244

8.603362

7.611784

8.563384

7.65577

7.327217

7.718598

8.158457

10.060603

7.723891

8.555238

9.41348

8.795568

8.61623

8.623915

8.407622

8.807214

8.550633

9.384067

8.525929

1910.12312

Thomas Schaefer

Aleksey Cherman, Syo Kamata, Thomas Schaefer, Mithat \"Unsal

Flow of Hagedorn singularities and phase transitions in large $N$ gauge theories

7 pages, 6 figures

Phys. Rev. D 101, 014012 (2020)

10.1103/PhysRevD.101.014012

null

hep-th cond-mat.stat-mech

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We investigate the singularity structure of the $(-1)^F$ graded partition function in QCD with $n_f \geq 1$ massive adjoint fermions in the large-$N$ limit. Here, $F$ is fermion number and $N$ is the number of colors. The large $N$ partition function is made reliably calculable by taking space to be a small three-sphere $S^3$. Singularites in the graded partition function are related to phase transitions and to Hagedorn behavior in the $(-1)^F$-graded density of states. We study the flow of the singularities in the complex "inverse temperature" $\beta$ plane as a function of the quark mass. This analysis is a generalization of the Lee-Yang-Fisher-type analysis for a theory which is always in the thermodynamic limit thanks to the large $N$ limit. We identify two distinct mechanisms for the appearance of physical Hagedorn singularities and center-symmetry changing phase transitions at real positive $\beta$, inflow of singularities from the $\beta=0$ point, and collisions of complex conjugate pairs of singularities.

[ { "created": "Sun, 27 Oct 2019 18:01:23 GMT", "version": "v1" } ]

2020-01-22

[ [ "Cherman", "Aleksey", "" ], [ "Kamata", "Syo", "" ], [ "Schaefer", "Thomas", "" ], [ "Ünsal", "Mithat", "" ] ]

We investigate the singularity structure of the $(-1)^F$ graded partition function in QCD with $n_f \geq 1$ massive adjoint fermions in the large-$N$ limit. Here, $F$ is fermion number and $N$ is the number of colors. The large $N$ partition function is made reliably calculable by taking space to be a small three-sphere $S^3$. Singularites in the graded partition function are related to phase transitions and to Hagedorn behavior in the $(-1)^F$-graded density of states. We study the flow of the singularities in the complex "inverse temperature" $\beta$ plane as a function of the quark mass. This analysis is a generalization of the Lee-Yang-Fisher-type analysis for a theory which is always in the thermodynamic limit thanks to the large $N$ limit. We identify two distinct mechanisms for the appearance of physical Hagedorn singularities and center-symmetry changing phase transitions at real positive $\beta$, inflow of singularities from the $\beta=0$ point, and collisions of complex conjugate pairs of singularities.

7.43841

7.671927

8.158129

6.894435

8.183877

7.896372

7.343228

7.159902

7.141232

8.229835

7.125661

7.364303

7.456752

7.049015

7.335036

7.065161

6.919814

7.136713

7.187619

7.269183

7.085722

2401.00890

Gideon Vos

Souvik Banerjee, Gideon Vos

Behind-the-horizon excitations from a single 2d CFT

25 pages, 4 figures, 2 appendices

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this work, we consider the atypical non-equilibrium state found in [1708.06328] which holographically represents a behind-the-horizon excitation in a blackhole spacetime. The special feature of this state is that it looks like an equilibrium state when probed by a class of low-energy operators. First, we retrieve this property using the uniformization mapping in the limit of large central charge, in the process we are able to derive rather than presume approximate thermal physics. Furthermore, in the large-c and high-energy limit we realize these excitations as elements of the commutant algebra of a GNS-representation of the light operator algebra. Instead of analytically continuing a mixed heavy-light Euclidean correlator to a Lorentzian correlator, we identify the Euclidean correlator as a GNS-linear form and interpret the Lorentzian correlator as a vacuum expectation value of representatives of the light operator algebra on the GNS-vacuum.

[ { "created": "Sat, 30 Dec 2023 21:29:05 GMT", "version": "v1" }, { "created": "Wed, 14 Feb 2024 15:54:13 GMT", "version": "v2" }, { "created": "Thu, 13 Jun 2024 13:50:31 GMT", "version": "v3" } ]

2024-06-14

[ [ "Banerjee", "Souvik", "" ], [ "Vos", "Gideon", "" ] ]

In this work, we consider the atypical non-equilibrium state found in [1708.06328] which holographically represents a behind-the-horizon excitation in a blackhole spacetime. The special feature of this state is that it looks like an equilibrium state when probed by a class of low-energy operators. First, we retrieve this property using the uniformization mapping in the limit of large central charge, in the process we are able to derive rather than presume approximate thermal physics. Furthermore, in the large-c and high-energy limit we realize these excitations as elements of the commutant algebra of a GNS-representation of the light operator algebra. Instead of analytically continuing a mixed heavy-light Euclidean correlator to a Lorentzian correlator, we identify the Euclidean correlator as a GNS-linear form and interpret the Lorentzian correlator as a vacuum expectation value of representatives of the light operator algebra on the GNS-vacuum.

14.057665

14.81916

15.917993

13.769612

15.231578

15.006525

14.693219

14.214323

13.59413

15.187078

12.795651

13.505924

14.058314

13.15222

13.702615

13.474347

13.969127

13.748201

13.366567

14.043909

12.881177

hep-th/9312085

Hector DE Vega

H.J. de Vega, J. Ram\'irez Mittelbrunn, M. Ram\'on Medrano and N. S\'anchez

The General Solution of the 2-D Sigma Model Stringy Black Hole and the Massless Complex Sine-Gordon Model

12 pages, uses phyzzx, LPTHE-PAR 93/53

Phys.Lett. B323 (1994) 133-138

10.1016/0370-2693(94)90281-X

null

hep-th

null

The exact general solution for a sigma model having the $2-d$ stringy black hole (SBH) as internal manifold is found in closed form. We also give the exact solution for the massless complex Sine-Gordon (MCSG) model. Both, models and their solutions are related by analytic continuation. The solution is expressed in terms of four arbitrary functions of one variable. (hep-th 9312085).

[ { "created": "Fri, 10 Dec 1993 15:05:46 GMT", "version": "v1" }, { "created": "Thu, 23 Dec 1993 15:40:36 GMT", "version": "v2" } ]

2016-08-14

[ [ "de Vega", "H. J.", "" ], [ "Mittelbrunn", "J. Ramírez", "" ], [ "Medrano", "M. Ramón", "" ], [ "Sánchez", "N.", "" ] ]

The exact general solution for a sigma model having the $2-d$ stringy black hole (SBH) as internal manifold is found in closed form. We also give the exact solution for the massless complex Sine-Gordon (MCSG) model. Both, models and their solutions are related by analytic continuation. The solution is expressed in terms of four arbitrary functions of one variable. (hep-th 9312085).

14.70818

13.658489

14.907256

11.673495

12.583105

11.101729

10.511917

11.690795

12.405884

15.596246

11.477816

12.368525

13.868253

13.182731

12.821855

12.495764

12.642963

13.196021

12.729886

13.916156

12.866983

1302.6382

Roberto Emparan

Roberto Emparan, Ryotaku Suzuki, Kentaro Tanabe

The large D limit of General Relativity

50 pages, 2 figures; v3: improved discussion of conceptual points

JHEP 1306 (2013) 009

10.1007/JHEP06(2013)009

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

General Relativity simplifies dramatically in the limit that the number of spacetime dimensions D is infinite: it reduces to a theory of non-interacting particles, of finite radius but vanishingly small cross sections, which do not emit nor absorb radiation of any finite frequency. Non-trivial black hole dynamics occurs at length scales that are 1/D times smaller than the horizon radius, and at frequencies D times larger than the inverse of this radius. This separation of scales at large D, which is due to the large gradient of the gravitational potential near the horizon, allows an effective theory of black hole dynamics. We develop to leading order in 1/D this effective description for massless scalar fields and compute analytically the scalar absorption probability. We solve to next-to-next-to-leading order the black brane instability, with very accurate results that improve on previous approximations with other methods. These examples demonstrate that problems that can be formulated in an arbitrary number of dimensions may be tractable in analytic form, and very efficiently so, in the large D expansion.

[ { "created": "Tue, 26 Feb 2013 10:20:04 GMT", "version": "v1" }, { "created": "Mon, 11 Mar 2013 16:27:22 GMT", "version": "v2" }, { "created": "Fri, 31 May 2013 10:40:41 GMT", "version": "v3" } ]

2015-06-15

[ [ "Emparan", "Roberto", "" ], [ "Suzuki", "Ryotaku", "" ], [ "Tanabe", "Kentaro", "" ] ]

General Relativity simplifies dramatically in the limit that the number of spacetime dimensions D is infinite: it reduces to a theory of non-interacting particles, of finite radius but vanishingly small cross sections, which do not emit nor absorb radiation of any finite frequency. Non-trivial black hole dynamics occurs at length scales that are 1/D times smaller than the horizon radius, and at frequencies D times larger than the inverse of this radius. This separation of scales at large D, which is due to the large gradient of the gravitational potential near the horizon, allows an effective theory of black hole dynamics. We develop to leading order in 1/D this effective description for massless scalar fields and compute analytically the scalar absorption probability. We solve to next-to-next-to-leading order the black brane instability, with very accurate results that improve on previous approximations with other methods. These examples demonstrate that problems that can be formulated in an arbitrary number of dimensions may be tractable in analytic form, and very efficiently so, in the large D expansion.

11.534761

12.110873

11.413318

10.828845

11.711391

12.532168

10.959158

11.494149

10.721362

12.195322

10.891032

10.885209

10.607082

10.587153

10.816215

10.552946

10.36182

10.513288

10.837646

11.136587

10.563334

2109.15022

Haidar Sheikhahmadi

On the origin of the holographic universe

8 Pages, some new explanations and references added

Modern Physics Letters A, Vol. 37, No. 33n34, 2250231 (2022)

10.1142/S0217732322502315

null

hep-th gr-qc hep-ph

http://creativecommons.org/licenses/by/4.0/

In this work, we reexamine the holographic dark energy concept proposed already for cosmological applications. By considering, more precisely, the bounds on the entropy arising from lattice field theory on one side and Bekenstein-Hawking entropy of black holes on another side, it is shown that the so-called holographic dark energy cannot be mimicked as easily as claimed in the literature. In addition, the limits on the electron $(g-2)$ experiments are taken into account again. It is shown that the corrections to the electron magnetic momentum are of the order of ${\mathcal{O}}(10^{-23})$.

[ { "created": "Thu, 30 Sep 2021 11:36:32 GMT", "version": "v1" }, { "created": "Wed, 11 Jan 2023 10:37:58 GMT", "version": "v2" } ]

2023-03-02

[ [ "Sheikhahmadi", "Haidar", "" ] ]

In this work, we reexamine the holographic dark energy concept proposed already for cosmological applications. By considering, more precisely, the bounds on the entropy arising from lattice field theory on one side and Bekenstein-Hawking entropy of black holes on another side, it is shown that the so-called holographic dark energy cannot be mimicked as easily as claimed in the literature. In addition, the limits on the electron $(g-2)$ experiments are taken into account again. It is shown that the corrections to the electron magnetic momentum are of the order of ${\mathcal{O}}(10^{-23})$.

10.726401

9.884225

10.053026

10.12105

10.683386

10.253363

11.022915

9.75082

10.252874

9.585029

10.312029

9.699368

9.947559

9.944418

10.245883

9.796457

9.881412

9.945334

10.112294

9.830831

10.155893

hep-th/9506075

Pietro Fre

A. Ceresole, M. Billo', R. D'Auria, S. Ferrara, P. Fre', T. Regge, P. Soriani, A. Van Proeyen

A Search for Non-Perturbative Dualities of Local $N=2$ Yang--Mills Theories from Calabi--Yau Threefolds

Latex. Version of previous paper with enlarged and revised appendix 35 pages, plain LaTeX

Class.Quant.Grav. 13 (1996) 831-864

10.1088/0264-9381/13/5/007

SISSA 64/95/EP, POLFIS-TH 07/95, CERN-TH 95/140, IFUM 508/FT, KUL-TF-95/18, UCLA/95/TEP/19

hep-th

null

The generalisation of the rigid special geometry of the vector multiplet quantum moduli space to the case of supergravity is discussed through the notion of a dynamical Calabi--Yau threefold. Duality symmetries of this manifold are connected with the analogous dualities associated with the dynamical Riemann surface of the rigid theory. N=2 rigid gauge theories are reviewed in a framework ready for comparison with the local case. As a byproduct we give in general the full duality group (quantum monodromy) for an arbitrary rigid $SU(r+1)$ gauge theory, extending previous explicit constructions for the $r=1,2$ cases. In the coupling to gravity, R--symmetry and monodromy groups of the dynamical Riemann surface, whose structure we discuss in detail, are embedded into the symplectic duality group $\Gamma_D$ associated with the moduli space of the dynamical Calabi--Yau threefold.

[ { "created": "Sun, 11 Jun 1995 17:47:38 GMT", "version": "v1" }, { "created": "Mon, 12 Jun 1995 19:37:49 GMT", "version": "v2" }, { "created": "Fri, 12 Jan 1996 07:36:59 GMT", "version": "v3" } ]

2009-10-28

[ [ "Ceresole", "A.", "" ], [ "Billo'", "M.", "" ], [ "D'Auria", "R.", "" ], [ "Ferrara", "S.", "" ], [ "Fre'", "P.", "" ], [ "Regge", "T.", "" ], [ "Soriani", "P.", "" ], [ "Van Proeyen", "A.", "" ] ]

The generalisation of the rigid special geometry of the vector multiplet quantum moduli space to the case of supergravity is discussed through the notion of a dynamical Calabi--Yau threefold. Duality symmetries of this manifold are connected with the analogous dualities associated with the dynamical Riemann surface of the rigid theory. N=2 rigid gauge theories are reviewed in a framework ready for comparison with the local case. As a byproduct we give in general the full duality group (quantum monodromy) for an arbitrary rigid $SU(r+1)$ gauge theory, extending previous explicit constructions for the $r=1,2$ cases. In the coupling to gravity, R--symmetry and monodromy groups of the dynamical Riemann surface, whose structure we discuss in detail, are embedded into the symplectic duality group $\Gamma_D$ associated with the moduli space of the dynamical Calabi--Yau threefold.

9.788365

10.107842

9.860558

9.398779

9.989366

9.496198

10.020288

8.731595

9.450933

10.331507

9.041481

9.633911

9.580564

9.015545

9.2451

9.262556

9.109258

9.06565

8.850345

9.848716

9.167776

hep-th/0302071

Tasneem Zehra Husain

That's a wrap!

19 pages, typos corrected

JHEP 0304 (2003) 053

10.1088/1126-6708/2003/04/053

USITP-02-04

hep-th

null

Calibration technology provides us with a fast and elegant way to find the supergravity solutions for BPS wrapped M-branes. Its true potential had however remained untapped due to the absence of a classification of calibrations in spacetimes with non-trivial flux. The applications of this method were thus limited in practise to M-branes wrapping Kahler calibrated cycles. In this paper, we catagorize a type of generalised calibrations which exist in supergravity backgrounds and contain Kahler calibrations as a sub-class. This broadens the arena of brane configurations whose supergravity solutions are accessible through the calibration 'short-cut' method.

[ { "created": "Tue, 11 Feb 2003 13:39:43 GMT", "version": "v1" }, { "created": "Wed, 2 Apr 2003 12:57:48 GMT", "version": "v2" } ]

2009-11-10

[ [ "Husain", "Tasneem Zehra", "" ] ]

Calibration technology provides us with a fast and elegant way to find the supergravity solutions for BPS wrapped M-branes. Its true potential had however remained untapped due to the absence of a classification of calibrations in spacetimes with non-trivial flux. The applications of this method were thus limited in practise to M-branes wrapping Kahler calibrated cycles. In this paper, we catagorize a type of generalised calibrations which exist in supergravity backgrounds and contain Kahler calibrations as a sub-class. This broadens the arena of brane configurations whose supergravity solutions are accessible through the calibration 'short-cut' method.

13.607018

12.198846

15.439177

12.424376

14.497776

12.457874

12.697649

12.824009

12.693709

16.765778

13.617144

11.128985

13.426966

12.052656

11.582591

11.248611

11.320285

11.939531

12.278625

14.032035

12.661433

hep-th/0009094

Stephan Durr

Stephan D\"urr

The phase transition in the multiflavour Schwinger model

6 pages, talk given at International Conference on Quantization, Gauge Theory, and Strings: Conference Dedicated to the Memory of Professor Efim Fradkin, 5-10 June 2000, Moscow, Russia

null

hep-th

null

A summary is given of a quantization of the multiflavour Schwinger model on a finite-temperature cylinder with chirality-breaking boundary conditions at its spatial ends, and it is shown that the analytic expression for the chiral condensate implies that the theory exhibits a second order phase transition with $T_c = 0$.

[ { "created": "Tue, 12 Sep 2000 14:12:23 GMT", "version": "v1" } ]

2007-05-23

[ [ "Dürr", "Stephan", "" ] ]

A summary is given of a quantization of the multiflavour Schwinger model on a finite-temperature cylinder with chirality-breaking boundary conditions at its spatial ends, and it is shown that the analytic expression for the chiral condensate implies that the theory exhibits a second order phase transition with $T_c = 0$.

12.909111

11.60113

12.198908

11.009809

12.411842

11.617911

11.347669

10.344579

10.306752

13.568565

11.293383

11.362997

11.363746

10.936088

10.90033

11.253623

10.540735

10.719296

10.684331

11.208995

10.671813

hep-th/0504193

Kunihito Uzawa

Hideo Kodama, Kunihito Uzawa

Moduli Instability in Warped Compactifications of the Type IIB Supergravity

24 pages, no figure. Typos corrected, and some arguments in section 5 are added

JHEP 0507 (2005) 061

10.1088/1126-6708/2005/07/061

null

hep-th gr-qc hep-ph

null

We show that the conifold and deformed-conifold warped compactifications of the ten-dimensional type IIB supergravity, including the Klebanov-Strassler solution, are dynamically unstable in the moduli sector representing the scale of a Calabi-Yau space, although it can be practically stable for a quite long time in a region with a large warp factor. This instability is associated with complete supersymmetry breaking except for a special case and produces significant time-dependence in the structure of the four-dimensional base spacetime as well as of the internal space.

[ { "created": "Mon, 25 Apr 2005 01:31:37 GMT", "version": "v1" }, { "created": "Mon, 25 Apr 2005 22:56:17 GMT", "version": "v2" }, { "created": "Wed, 26 Apr 2006 00:33:36 GMT", "version": "v3" } ]

2009-11-11

[ [ "Kodama", "Hideo", "" ], [ "Uzawa", "Kunihito", "" ] ]

We show that the conifold and deformed-conifold warped compactifications of the ten-dimensional type IIB supergravity, including the Klebanov-Strassler solution, are dynamically unstable in the moduli sector representing the scale of a Calabi-Yau space, although it can be practically stable for a quite long time in a region with a large warp factor. This instability is associated with complete supersymmetry breaking except for a special case and produces significant time-dependence in the structure of the four-dimensional base spacetime as well as of the internal space.

12.161263

11.881916

12.749368

11.806754

10.968348

11.47578

12.511262

11.229752

11.263192

14.069477

10.665176

11.240055

11.720598

11.464322

11.330056

11.246277

11.197299

11.400496

11.153832

12.013532

11.067933

hep-th/9701050

Guest Account Cts

A S Vytheeswaran (Bangalore University, India)

Gauge Invariances in the Proca model

Latex file, 18 pages, Revised version with extra equation and note added in page 4, reference added, minor spelling corrections. To appear in Int J Mod Phys A

Int.J.Mod.Phys. A13 (1998) 765-778

10.1142/S0217751X98000330

null

hep-th

null

We show that the abelian Proca model, which is gauge non-invariant with second class constraints can be converted into gauge theories with first class constraints. The method used, which we call Gauge Unfixing employs a projection operator defined in the original phase space. This operator can be constructed in more than one way, and so we get more than one gauge theory. Two such gauge theories are the Stuckelberg theory, and the theory of Maxwell field interacting with an antisymmetric tensor field. We also show that the application of the projection operator does not affect the Lorentz invariance of this model.

[ { "created": "Mon, 13 Jan 1997 10:14:20 GMT", "version": "v1" }, { "created": "Wed, 18 Jun 1997 07:29:22 GMT", "version": "v2" } ]

2009-10-30

[ [ "Vytheeswaran", "A S", "", "Bangalore University, India" ] ]

We show that the abelian Proca model, which is gauge non-invariant with second class constraints can be converted into gauge theories with first class constraints. The method used, which we call Gauge Unfixing employs a projection operator defined in the original phase space. This operator can be constructed in more than one way, and so we get more than one gauge theory. Two such gauge theories are the Stuckelberg theory, and the theory of Maxwell field interacting with an antisymmetric tensor field. We also show that the application of the projection operator does not affect the Lorentz invariance of this model.

9.505371

7.334038

9.269864

7.517373

7.397307

7.117168

7.630251

7.398593

7.46444

9.382491

7.278495

7.811158

8.639869

8.373508

7.8399

8.33388

8.096192

7.909886

8.190041

8.931141

7.949946

hep-th/9210122

Keith Joshi

David C. Dunbar and Keith G. Joshi

Characters for Coset Conformal Field Theories

20 pages in plain TEX

Int.J.Mod.Phys.A8:4103-4122,1993

10.1142/S0217751X93001685

LTH-92-292 & SWAT-92-02

hep-th

null

We solve the Kac-Moody branching equation to obtain explicit formulae for the characters of coset conformal field theories and then apply these to specific examples to determine the integer shift of the conformal weights of primary fields. We also present an example of coset conformal field theory which cannot be described by the identification current method.

[ { "created": "Thu, 22 Oct 1992 12:19:00 GMT", "version": "v1" } ]

2011-07-19

[ [ "Dunbar", "David C.", "" ], [ "Joshi", "Keith G.", "" ] ]

We solve the Kac-Moody branching equation to obtain explicit formulae for the characters of coset conformal field theories and then apply these to specific examples to determine the integer shift of the conformal weights of primary fields. We also present an example of coset conformal field theory which cannot be described by the identification current method.

15.794046

14.048363

16.47744

12.872178

15.011257

15.25698

15.403418

12.879622

12.716281

15.574998

12.054182

13.193765

13.526211

12.722583

13.682107

13.758544

13.391201

12.92572

12.598548

13.768661

13.243191

1302.2924

Anton van Niekerk

Alex Buchel, Luis Lehner, Robert C. Myers and Anton van Niekerk

Quantum quenches of holographic plasmas

60 pages, 10 figures, 3 appendices

null

10.1007/JHEP05(2013)067

UWO-TH-13/2

hep-th cond-mat.stat-mech

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We employ holographic techniques to study quantum quenches at finite temperature, where the quenches involve varying the coupling of the boundary theory to a relevant operator with an arbitrary conformal dimension $2\leq\D\leq4$. The evolution of the system is studied by evaluating the expectation value of the quenched operator and the stress tensor throughout the process. The time dependence of the new coupling is characterized by a fixed timescale and the response of the observables depends on the ratio of the this timescale to the initial temperature. The observables exhibit universal scaling behaviours when the transitions are either fast or slow, i.e. when this ratio is very small or very large. The scaling exponents are smooth functions of the operator dimension. We find that in fast quenches, the relaxation time is set by the thermal timescale regardless of the operator dimension or the precise quenching rate.

[ { "created": "Tue, 12 Feb 2013 21:02:49 GMT", "version": "v1" } ]

2015-06-15

[ [ "Buchel", "Alex", "" ], [ "Lehner", "Luis", "" ], [ "Myers", "Robert C.", "" ], [ "van Niekerk", "Anton", "" ] ]

We employ holographic techniques to study quantum quenches at finite temperature, where the quenches involve varying the coupling of the boundary theory to a relevant operator with an arbitrary conformal dimension $2\leq\D\leq4$. The evolution of the system is studied by evaluating the expectation value of the quenched operator and the stress tensor throughout the process. The time dependence of the new coupling is characterized by a fixed timescale and the response of the observables depends on the ratio of the this timescale to the initial temperature. The observables exhibit universal scaling behaviours when the transitions are either fast or slow, i.e. when this ratio is very small or very large. The scaling exponents are smooth functions of the operator dimension. We find that in fast quenches, the relaxation time is set by the thermal timescale regardless of the operator dimension or the precise quenching rate.

7.933571

7.698158

8.285944

7.38389

8.007262

7.842871

7.31403

7.482015

7.629966

8.816357

6.930333

7.203648

7.826005

7.275006

7.44293

7.439983

7.523638

7.438923

7.481714

7.738224

7.227932

1908.09570

Shao-Jun Zhang

Haitang Li, Yong Chen and Shao-Jun Zhang

Photon orbits and phase transitions in Born-Infeld-dilaton black holes

7 pages, 7 figures

null

10.1016/j.nuclphysb.2020.114975

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Relations between photon orbits and thermodynamical phase transitions are explored in Born-Infeld-dilaton-AdS black hole. The coupling between the electromagnetic field and the dialton field is chosen such that the full phase diagram contains zeroth-order and first-order phase transitions as well as RPT. We find that there exist non-monotonic beahviors of the photon orbit radius $r_{ps}$ and the minimum impact parameter $u_{ps}$ which signal the existence of the various phase transitions. In particular, the marginal value of pressure under which RPT occur can be read off from these behaviors. Along the co-existing lines, there are changes of both $r_{ps}$ and $u_{ps}$, whose dependence on the transition temperature show characteristic behaviors signalling the existence of RPT. Moreover, the critical exponents of $\Delta r_{ps}$ and $\Delta u_{ps}$ are found to take a universal value $\frac{1}{2}$. These results imply that $r_{ps}$ and $u_{ps}$ can be used as order parameters to describe BH phase transitions.

[ { "created": "Mon, 26 Aug 2019 09:52:12 GMT", "version": "v1" } ]

2020-04-22

[ [ "Li", "Haitang", "" ], [ "Chen", "Yong", "" ], [ "Zhang", "Shao-Jun", "" ] ]

Relations between photon orbits and thermodynamical phase transitions are explored in Born-Infeld-dilaton-AdS black hole. The coupling between the electromagnetic field and the dialton field is chosen such that the full phase diagram contains zeroth-order and first-order phase transitions as well as RPT. We find that there exist non-monotonic beahviors of the photon orbit radius $r_{ps}$ and the minimum impact parameter $u_{ps}$ which signal the existence of the various phase transitions. In particular, the marginal value of pressure under which RPT occur can be read off from these behaviors. Along the co-existing lines, there are changes of both $r_{ps}$ and $u_{ps}$, whose dependence on the transition temperature show characteristic behaviors signalling the existence of RPT. Moreover, the critical exponents of $\Delta r_{ps}$ and $\Delta u_{ps}$ are found to take a universal value $\frac{1}{2}$. These results imply that $r_{ps}$ and $u_{ps}$ can be used as order parameters to describe BH phase transitions.

7.619534

7.616002

6.799734

6.627733

7.900699

7.883823

7.867728

6.864145

7.543814

7.585494

7.366981

7.511128

7.476945

7.510546

7.465518

7.73891

7.598931

7.554392

7.687863

7.803083

7.545352

hep-th/0310200

Kerstin E. Kunze

Stochastic inflation on the brane

9 pages

Phys.Lett. B587 (2004) 1-6

10.1016/j.physletb.2004.03.002

null

hep-th astro-ph gr-qc

null

Chaotic inflation on the brane is considered in the context of stochastic inflation. It is found that there is a regime in which eternal inflation on the brane takes place. The corresponding probability distributions are found in certain cases. The stationary probability distribution over a comoving volume and the creation probability of a de Sitter braneworld yield the same exponential behaviour. Finally, nonperturbative effects are briefly discussed.

[ { "created": "Tue, 21 Oct 2003 12:54:09 GMT", "version": "v1" } ]

2009-11-10

[ [ "Kunze", "Kerstin E.", "" ] ]

Chaotic inflation on the brane is considered in the context of stochastic inflation. It is found that there is a regime in which eternal inflation on the brane takes place. The corresponding probability distributions are found in certain cases. The stationary probability distribution over a comoving volume and the creation probability of a de Sitter braneworld yield the same exponential behaviour. Finally, nonperturbative effects are briefly discussed.

12.764894

12.871144

13.069718

11.878007

11.669708

12.253703

11.860943

11.304933

11.846131

12.591308

11.774778

12.269012

12.33567

11.983027

12.532255

11.684588

12.050317

12.39287

11.993745

11.739689

12.029752

2303.08159

Hun Jang

Gauge Theory on Fiber Bundle of Hypercomplex Algebras

17 pages, 2 figures; v3: version published in Nucl. Phys. B 993 (2023) 116281

Nucl. Phys. B 993 (2023) 116281

10.1016/j.nuclphysb.2023.116281

null

hep-th

http://creativecommons.org/licenses/by/4.0/

I introduce a way of constructing a fiber bundle whose fibers are given by hypercomplex algebras and woven by appropriate structure group, and present that a novel gauge theory can be built on the hypercomplex fiber bundle. In this work, I aim to answer a question about how nature selects one preferred vacuum among degenerate physical vacua, called {\it vacuum selection problem}. In the end, I found presence of the impenetrable domain wall that prohibits phase transition between the two vacua. To be specific, I found that in this theory, one particular vacuum between two degenerate physical vacua for Higgs-like scalar potential can be dynamically chosen with priority due to intrinsic even parity of both a scalar field and its vacuum under a $\mathbb{Z}_2$ symmetry, even though its scalar potential is given to be $\mathbb{Z}_2$-symmetric under both odd- and even-parity transformations of the scalar field. This means that the vacuum selection problem can be resolved in this gauge theory. I suggest that this work may be a gateway to addressing the theoretical origin of the true physical vacuum that nature takes.

[ { "created": "Tue, 14 Mar 2023 18:21:05 GMT", "version": "v1" }, { "created": "Wed, 21 Jun 2023 16:05:02 GMT", "version": "v2" }, { "created": "Wed, 28 Jun 2023 04:14:20 GMT", "version": "v3" } ]

2023-06-29

[ [ "Jang", "Hun", "" ] ]

I introduce a way of constructing a fiber bundle whose fibers are given by hypercomplex algebras and woven by appropriate structure group, and present that a novel gauge theory can be built on the hypercomplex fiber bundle. In this work, I aim to answer a question about how nature selects one preferred vacuum among degenerate physical vacua, called {\it vacuum selection problem}. In the end, I found presence of the impenetrable domain wall that prohibits phase transition between the two vacua. To be specific, I found that in this theory, one particular vacuum between two degenerate physical vacua for Higgs-like scalar potential can be dynamically chosen with priority due to intrinsic even parity of both a scalar field and its vacuum under a $\mathbb{Z}_2$ symmetry, even though its scalar potential is given to be $\mathbb{Z}_2$-symmetric under both odd- and even-parity transformations of the scalar field. This means that the vacuum selection problem can be resolved in this gauge theory. I suggest that this work may be a gateway to addressing the theoretical origin of the true physical vacuum that nature takes.

13.291666

14.062674

13.525833

13.25295

13.421041

13.972364

12.957483

13.440872

13.448468

13.459214

12.857217

13.112193

12.812589

12.418365

12.98556

12.800759

12.908858

12.495331

12.690816

13.136353

12.442025

1005.4680

Oliver Rosten

Oliver J. Rosten

An Extension of Pohlmeyer's Theorem

v1: 29 pages; v2: 30 pages, minor tweaks; v3: published with very minor changes

J.Phys.A43:495401,2010

10.1088/1751-8113/43/49/495401

null

hep-th cond-mat.str-el hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Applying the Exact Renormalization Group to scalar field theory in Euclidean space of general (not necessarily integer) dimension, it is proven that the only fixed-point with vanishing anomalous dimension is the Gaussian one. The proof requires positivity of the two-point connected correlation function together with a technical assumption concerning solutions of the flow equation. The method, in which the representation of the flow equation as a heat equation plays a central role, extends directly to non-gauge theories with arbitrary matter content (though non-linear sigma models are beyond the scope of the current method).

[ { "created": "Tue, 25 May 2010 20:00:27 GMT", "version": "v1" }, { "created": "Wed, 4 Aug 2010 20:02:15 GMT", "version": "v2" }, { "created": "Sun, 21 Nov 2010 19:26:21 GMT", "version": "v3" } ]

2011-03-28

[ [ "Rosten", "Oliver J.", "" ] ]

Applying the Exact Renormalization Group to scalar field theory in Euclidean space of general (not necessarily integer) dimension, it is proven that the only fixed-point with vanishing anomalous dimension is the Gaussian one. The proof requires positivity of the two-point connected correlation function together with a technical assumption concerning solutions of the flow equation. The method, in which the representation of the flow equation as a heat equation plays a central role, extends directly to non-gauge theories with arbitrary matter content (though non-linear sigma models are beyond the scope of the current method).

9.721544

9.041965

8.71515

8.142274

8.703006

8.726794

8.254459

8.689239

8.224911

9.652753

8.562385

8.232639

8.614015

8.186958

8.387721

8.373499

8.444212

8.388965

8.364601

8.811493

8.34322

hep-th/9204056

null

Gerald Dunne and Roman Jackiw

Chern-Simons Solitons, Toda Theories and the Chiral Model

null

Commun.Math.Phys. 150 (1992) 519-535

10.1007/BF02096959

null

hep-th

null

The two-dimensional self-dual Chern--Simons equations are equivalent to the conditions for static, zero-energy solutions of the $(2+1)$-dimensional gauged nonlinear Schr\"odinger equation with Chern--Simons matter-gauge dynamics. In this paper we classify all finite charge $SU(N)$ solutions by first transforming the self-dual Chern--Simons equations into the two-dimensional chiral model (or harmonic map) equations, and then using the Uhlenbeck--Wood classification of harmonic maps into the unitary groups. This construction also leads to a new relationship between the $SU(N)$ Toda and $SU(N)$ chiral model solutions.

[ { "created": "Fri, 17 Apr 1992 18:05:45 GMT", "version": "v1" } ]

2009-10-22

[ [ "Dunne", "Gerald", "" ], [ "Jackiw", "Roman", "" ] ]

The two-dimensional self-dual Chern--Simons equations are equivalent to the conditions for static, zero-energy solutions of the $(2+1)$-dimensional gauged nonlinear Schr\"odinger equation with Chern--Simons matter-gauge dynamics. In this paper we classify all finite charge $SU(N)$ solutions by first transforming the self-dual Chern--Simons equations into the two-dimensional chiral model (or harmonic map) equations, and then using the Uhlenbeck--Wood classification of harmonic maps into the unitary groups. This construction also leads to a new relationship between the $SU(N)$ Toda and $SU(N)$ chiral model solutions.

8.003062

6.253538

9.049288

6.870677

8.732699

6.210579

6.70509

7.065739

7.333532

9.637733

6.728789

7.241835

8.190697

7.435242

7.414811

7.707147

7.210115

7.373211

7.386744

8.217436

7.34779

0712.4086

Alberto Iglesias

Gregory Gabadadze and Alberto Iglesias

Mass Screening in Modified Gravity

16 pages, 4 figures, A contribution to the Proceedings of the International Workshop on Cosmology and Gravitation, Peyresq 12, June 16-22, 2007, Peyresq, France

Class.Quant.Grav.25:154008,2008

10.1088/0264-9381/25/15/154008

NYU-TH-07/12/01

hep-th

null

Models of modified gravity introduce extra degrees of freedom, which for consistency with the data, should be suppressed at observable scales. In the models that share properties of massive gravity such a suppression is due to nonlinear interactions: An isolated massive astrophysical object creates a halo of a nonzero curvature around it, shielding its vicinity from the influence of the extra degrees of freedom. We emphasize that the very same halo leads to a screening of the gravitational mass of the object, as seen by an observer beyond the halo. We discuss the case when the screening could be very significant and may rule out, or render the models observationally interesting.

[ { "created": "Wed, 26 Dec 2007 19:05:04 GMT", "version": "v1" } ]

2008-11-26

[ [ "Gabadadze", "Gregory", "" ], [ "Iglesias", "Alberto", "" ] ]

Models of modified gravity introduce extra degrees of freedom, which for consistency with the data, should be suppressed at observable scales. In the models that share properties of massive gravity such a suppression is due to nonlinear interactions: An isolated massive astrophysical object creates a halo of a nonzero curvature around it, shielding its vicinity from the influence of the extra degrees of freedom. We emphasize that the very same halo leads to a screening of the gravitational mass of the object, as seen by an observer beyond the halo. We discuss the case when the screening could be very significant and may rule out, or render the models observationally interesting.

15.608023

17.489424

15.286637

13.730244

15.980453

15.414648

16.486273

13.885016

15.354482

15.299107

14.366291

14.255311

14.66715

14.069249

15.050978

14.638322

13.984806

14.2864

14.062819

14.970368

14.530201

2103.15839

David Meltzer

Dispersion Formulas in QFTs, CFTs, and Holography

63 pages plus appendices, 3 figures

null

10.1007/JHEP05(2021)098

CALT-TH-2021-012

hep-th astro-ph.CO gr-qc hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study momentum space dispersion formulas in general QFTs and their applications for CFT correlation functions. We show, using two independent methods, that QFT dispersion formulas can be written in terms of causal commutators. The first derivation uses analyticity properties of retarded correlators in momentum space. The second derivation uses the largest time equation and the defining properties of the time-ordered product. At four points we show that the momentum space QFT dispersion formula depends on the same causal double-commutators as the CFT dispersion formula. At $n$-points, the QFT dispersion formula depends on a sum of nested advanced commutators. For CFT four-point functions, we show that the momentum space dispersion formula is equivalent to the CFT dispersion formula, up to possible semi-local terms. We also show that the Polyakov-Regge expansions associated to the momentum space and CFT dispersion formulas are related by a Fourier transform. In the process, we prove that the momentum space conformal blocks of the causal double-commutator are equal to cut Witten diagrams. Finally, by combining the momentum space dispersion formulas with the AdS Cutkosky rules, we find a complete, bulk unitarity method for AdS/CFT correlators in momentum space.

[ { "created": "Mon, 29 Mar 2021 18:00:03 GMT", "version": "v1" } ]

2021-07-23

[ [ "Meltzer", "David", "" ] ]

We study momentum space dispersion formulas in general QFTs and their applications for CFT correlation functions. We show, using two independent methods, that QFT dispersion formulas can be written in terms of causal commutators. The first derivation uses analyticity properties of retarded correlators in momentum space. The second derivation uses the largest time equation and the defining properties of the time-ordered product. At four points we show that the momentum space QFT dispersion formula depends on the same causal double-commutators as the CFT dispersion formula. At $n$-points, the QFT dispersion formula depends on a sum of nested advanced commutators. For CFT four-point functions, we show that the momentum space dispersion formula is equivalent to the CFT dispersion formula, up to possible semi-local terms. We also show that the Polyakov-Regge expansions associated to the momentum space and CFT dispersion formulas are related by a Fourier transform. In the process, we prove that the momentum space conformal blocks of the causal double-commutator are equal to cut Witten diagrams. Finally, by combining the momentum space dispersion formulas with the AdS Cutkosky rules, we find a complete, bulk unitarity method for AdS/CFT correlators in momentum space.

7.658362

8.263511

8.566958

7.370456

8.171278

8.106977

8.124701

7.930185

7.252532

9.358934

7.506147

7.324399

7.890101

7.51112

7.691485

7.568077

7.629243

7.445532

7.529587

7.931055

7.370739

1607.03735

Hayden Lee

Hayden Lee, Daniel Baumann, Guilherme L. Pimentel

Non-Gaussianity as a Particle Detector

55 pages, 10 figures

null

10.1007/JHEP12(2016)040

null

hep-th astro-ph.CO hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study the imprints of massive particles with spin on cosmological correlators. Using the framework of the effective field theory of inflation, we classify the couplings of these particles to the Goldstone boson of broken time translations and the graviton. We show that it is possible to generate observable non-Gaussianity within the regime of validity of the effective theory, as long as the masses of the particles are close to the Hubble scale and their interactions break the approximate conformal symmetry of the inflationary background. We derive explicit shape functions for the scalar and tensor bispectra that can serve as templates for future observational searches.

[ { "created": "Wed, 13 Jul 2016 13:56:35 GMT", "version": "v1" } ]

2016-12-23

[ [ "Lee", "Hayden", "" ], [ "Baumann", "Daniel", "" ], [ "Pimentel", "Guilherme L.", "" ] ]

We study the imprints of massive particles with spin on cosmological correlators. Using the framework of the effective field theory of inflation, we classify the couplings of these particles to the Goldstone boson of broken time translations and the graviton. We show that it is possible to generate observable non-Gaussianity within the regime of validity of the effective theory, as long as the masses of the particles are close to the Hubble scale and their interactions break the approximate conformal symmetry of the inflationary background. We derive explicit shape functions for the scalar and tensor bispectra that can serve as templates for future observational searches.

5.301116

4.780628

5.717744

4.700612

5.035336

4.50398

4.920873

4.7346

4.654082

5.71938

4.611532

4.692789

5.218627

5.038876

5.030346

4.851509

4.847518

4.823973

4.909127

4.981756

4.892404

1805.06467

Jonathan Heckman

Jonathan J. Heckman and Tom Rudelius

Top Down Approach to 6D SCFTs

v4: 122 pages, 4 figures, further typos corrected

null

10.1088/1751-8121/aafc81

null

hep-th math.AG math.RT

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Six-dimensional superconformal field theories (6D SCFTs) occupy a central place in the study of quantum field theories encountered in high energy theory. This article reviews the top down construction and study of this rich class of quantum field theories, in particular, how they are realized by suitable backgrounds in string / M- / F-theory. We review the recent F-theoretic classification of 6D SCFTs, explain how to calculate physical quantities of interest such as the anomaly polynomial of 6D SCFTs, and also explain recent progress in understanding renormalization group flows for deformations of such theories. Additional topics covered by this review include some discussion on the (weighted and signed) counting of states in these theories via superconformal indices. We also include several previously unpublished results as well as a new variant on the swampland conjecture for general quantum field theories decoupled from gravity. The aim of the article is to provide a point of entry into this growing literature rather than an exhaustive overview.

[ { "created": "Wed, 16 May 2018 18:00:08 GMT", "version": "v1" }, { "created": "Mon, 30 Jul 2018 22:24:10 GMT", "version": "v2" }, { "created": "Wed, 20 Feb 2019 15:56:47 GMT", "version": "v3" }, { "created": "Sat, 10 Aug 2019 23:43:04 GMT", "version": "v4" } ]

2019-08-13

[ [ "Heckman", "Jonathan J.", "" ], [ "Rudelius", "Tom", "" ] ]

Six-dimensional superconformal field theories (6D SCFTs) occupy a central place in the study of quantum field theories encountered in high energy theory. This article reviews the top down construction and study of this rich class of quantum field theories, in particular, how they are realized by suitable backgrounds in string / M- / F-theory. We review the recent F-theoretic classification of 6D SCFTs, explain how to calculate physical quantities of interest such as the anomaly polynomial of 6D SCFTs, and also explain recent progress in understanding renormalization group flows for deformations of such theories. Additional topics covered by this review include some discussion on the (weighted and signed) counting of states in these theories via superconformal indices. We also include several previously unpublished results as well as a new variant on the swampland conjecture for general quantum field theories decoupled from gravity. The aim of the article is to provide a point of entry into this growing literature rather than an exhaustive overview.

9.981794

9.813883

11.51435

10.065603

10.184404

10.125351

10.215111

9.898842

9.615494

11.029705

9.400039

9.339134

9.928418

9.739096

9.755466

9.666336

9.730365

9.435023

9.617729

9.623672

9.24865

1707.04751

Prarit Agarwal

Prarit Agarwal, Antonio Sciarappa, Jaewon Song

N=1 Lagrangians for generalized Argyres-Douglas theories

26 pages; v4: refs added

null

10.1007/JHEP10(2017)211

SNUTP17-003, KIAS-P17053

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We find $\mathcal{N}=1$ Lagrangian gauge theories that flow to generalized Argyres-Douglas theories with $\mathcal{N}=2$ supersymmetry. We find that certain SU quiver gauge theories flow to generalized Argyres-Douglas theories of type $(A_{k-1}, A_{mk-1})$ and $(I_{m, k m}, S)$. We also find quiver gauge theories of SO/Sp gauge groups flowing to the $(A_{2m-1}, D_{2mk+1})$, $(A_{2m}, D_{2m(k-1)+k})$ and $D_{m(2k+2)}^{m(2k+2)}[m]$ theories.

[ { "created": "Sat, 15 Jul 2017 15:37:01 GMT", "version": "v1" }, { "created": "Wed, 9 Aug 2017 16:14:58 GMT", "version": "v2" }, { "created": "Mon, 23 Oct 2017 15:28:29 GMT", "version": "v3" }, { "created": "Thu, 2 Nov 2017 01:10:35 GMT", "version": "v4" } ]

2018-01-17

[ [ "Agarwal", "Prarit", "" ], [ "Sciarappa", "Antonio", "" ], [ "Song", "Jaewon", "" ] ]

We find $\mathcal{N}=1$ Lagrangian gauge theories that flow to generalized Argyres-Douglas theories with $\mathcal{N}=2$ supersymmetry. We find that certain SU quiver gauge theories flow to generalized Argyres-Douglas theories of type $(A_{k-1}, A_{mk-1})$ and $(I_{m, k m}, S)$. We also find quiver gauge theories of SO/Sp gauge groups flowing to the $(A_{2m-1}, D_{2mk+1})$, $(A_{2m}, D_{2m(k-1)+k})$ and $D_{m(2k+2)}^{m(2k+2)}[m]$ theories.

4.904342

5.03651

5.822896

4.807047

4.80903

5.048161

5.686852

5.112884

4.944066

6.143767

5.11084

4.876824

5.553818

4.97451

4.954032

4.978715

4.914794

4.87553

4.943024

5.632465

4.955337

hep-th/0509184

Sergei Winitzki

Jaume Garriga, Delia Schwartz-Perlov, Alexander Vilenkin, and Sergei Winitzki

Probabilities in the inflationary multiverse

18 pages, RevTeX 4, 2 figures. Discussion of the full probability in Sec.VI is sharpened; the conclusions are strengthened. Note added explaining the relation to recent work by Easther, Lim and Martin. Some references added

JCAP 0601:017,2006

10.1088/1475-7516/2006/01/017

null

hep-th astro-ph gr-qc

null

Inflationary cosmology leads to the picture of a "multiverse," involving an infinite number of (spatially infinite) post-inflationary thermalized regions, called pocket universes. In the context of theories with many vacua, such as the landscape of string theory, the effective constants of Nature are randomized by quantum processes during inflation. We discuss an analytic estimate for the volume distribution of the constants within each pocket universe. This is based on the conjecture that the field distribution is approximately ergodic in the diffusion regime, when the dynamics of the fields is dominated by quantum fluctuations (rather than by the classical drift). We then propose a method for determining the relative abundances of different types of pocket universes. Both ingredients are combined into an expression for the distribution of the constants in pocket universes of all types.

[ { "created": "Fri, 23 Sep 2005 19:45:19 GMT", "version": "v1" }, { "created": "Sun, 2 Oct 2005 01:44:38 GMT", "version": "v2" }, { "created": "Sun, 27 Nov 2005 17:45:38 GMT", "version": "v3" } ]

2011-05-05

[ [ "Garriga", "Jaume", "" ], [ "Schwartz-Perlov", "Delia", "" ], [ "Vilenkin", "Alexander", "" ], [ "Winitzki", "Sergei", "" ] ]

Inflationary cosmology leads to the picture of a "multiverse," involving an infinite number of (spatially infinite) post-inflationary thermalized regions, called pocket universes. In the context of theories with many vacua, such as the landscape of string theory, the effective constants of Nature are randomized by quantum processes during inflation. We discuss an analytic estimate for the volume distribution of the constants within each pocket universe. This is based on the conjecture that the field distribution is approximately ergodic in the diffusion regime, when the dynamics of the fields is dominated by quantum fluctuations (rather than by the classical drift). We then propose a method for determining the relative abundances of different types of pocket universes. Both ingredients are combined into an expression for the distribution of the constants in pocket universes of all types.

9.355215

10.150866

8.751768

8.711153

10.183516

9.092571

10.267345

9.080613

9.350679

9.669424

8.845976

8.417139

8.336044

8.554437

8.532725

8.521005

8.711945

8.495614

8.509222

8.643826

8.355224

hep-th/9706010

Hongsu Kim

Hongsu Kim (Ewha Women's Univ., Korea)

The Absence of Fermionic Superradiance (A Simple Demonstration)

16 pages, Revtex

JCAP0811:007,2008

10.1088/1475-7516/2008/11/007

null

hep-th gr-qc

null

Superradiant scattering, which can be thought of as the wave analogue of the Penrose process is revisited. As is well-known, boson fields display superradiance provided they have frequency in a certain range whereas fermion fields do not. A succinct superradiance-checking algorithm employing particle number or energy current is formally reviewed and then applied to the case of fermion field. The demonstrations of the absence of fermionic superradiance in terms of the particle number current exist in the literature but they are in the context of two-component SL(2,C) spinor formalism for massive spinor and SO(3,1) Dirac spinor formalism for massless spinor. Here we present an alternative demonstration in terms of both particle number and energy current but in a different context of local SO(3,1) Dirac spinor formalism for both massless and massive spinors. It appears that our presentation confirms the absence of fermionic superradiance in a more simple and systematic manner.

[ { "created": "Mon, 2 Jun 1997 10:12:29 GMT", "version": "v1" } ]

2008-11-26

[ [ "Kim", "Hongsu", "", "Ewha Women's Univ., Korea" ] ]

Superradiant scattering, which can be thought of as the wave analogue of the Penrose process is revisited. As is well-known, boson fields display superradiance provided they have frequency in a certain range whereas fermion fields do not. A succinct superradiance-checking algorithm employing particle number or energy current is formally reviewed and then applied to the case of fermion field. The demonstrations of the absence of fermionic superradiance in terms of the particle number current exist in the literature but they are in the context of two-component SL(2,C) spinor formalism for massive spinor and SO(3,1) Dirac spinor formalism for massless spinor. Here we present an alternative demonstration in terms of both particle number and energy current but in a different context of local SO(3,1) Dirac spinor formalism for both massless and massive spinors. It appears that our presentation confirms the absence of fermionic superradiance in a more simple and systematic manner.

9.260589

9.077678

8.957969

8.621943

8.644416

9.26264

8.803432

8.32625

8.904564

9.091997

9.010425

8.826272

8.558998

8.532519

8.593865

9.122346

8.801682

8.518646

8.633372

8.368592

8.699603

hep-th/0201242

Rafael de Lima Rodrigues

R. de Lima Rodrigues, W. Pires de Almeida and I. Fonseca Neto

Supersymmetric Classical Mechanics: Free Case

13 pages, no figures

null

hep-th

null

We present a review work on Supersymmetric Classical Mechanics in the context of a Lagrangian formalism, with $N=1-$supersymmetry. We show that the N=1 supersymmetry does not allow the introduction of a potential energy term depending on a single commuting supercoordinate, $\phi (t;\Theta)$.

[ { "created": "Tue, 29 Jan 2002 20:13:17 GMT", "version": "v1" } ]

2007-05-23

[ [ "Rodrigues", "R. de Lima", "" ], [ "de Almeida", "W. Pires", "" ], [ "Neto", "I. Fonseca", "" ] ]

We present a review work on Supersymmetric Classical Mechanics in the context of a Lagrangian formalism, with $N=1-$supersymmetry. We show that the N=1 supersymmetry does not allow the introduction of a potential energy term depending on a single commuting supercoordinate, $\phi (t;\Theta)$.

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