LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/9303034

Javier Mas

Fernando Martinez Moras, Javier Mas and Eduardo Ramos

Diffeomorphisms from higher dimensional W-algebras

10 pages

Mod.Phys.Lett. A8 (1993) 2189-2198

10.1142/S0217732393001914

QMW-PH-93-1 and US-FT/1-91

hep-th math.QA

null

Classical W-algebras in higher dimensions have been recently constructed. In this letter we show that there is a finitely generated subalgebra which is isomorphic to the algebra of local diffeomorphisms in D dimensions. Moreover, there is a tower of infinitely many fields transforming under this subalgebra as symmetric tensorial one-densities. We also unravel a structure isomorphic to the Schouten symmetric bracket, providing a natural generalization of w_\infty in higher dimensions.

[ { "created": "Fri, 5 Mar 1993 11:25:08 GMT", "version": "v1" } ]

2009-10-22

[ [ "Moras", "Fernando Martinez", "" ], [ "Mas", "Javier", "" ], [ "Ramos", "Eduardo", "" ] ]

Classical W-algebras in higher dimensions have been recently constructed. In this letter we show that there is a finitely generated subalgebra which is isomorphic to the algebra of local diffeomorphisms in D dimensions. Moreover, there is a tower of infinitely many fields transforming under this subalgebra as symmetric tensorial one-densities. We also unravel a structure isomorphic to the Schouten symmetric bracket, providing a natural generalization of w_\infty in higher dimensions.

13.761847

8.886005

10.701198

9.602868

10.22751

8.685235

10.003317

9.658218

9.42467

13.175995

9.004141

10.071622

11.196001

10.24899

9.862045

10.140295

9.818229

10.484072

9.784954

11.135324

9.866229

hep-th/9603009

Ofer Aharony

Ofer Aharony, Jacob Sonnenschein and Shimon Yankielowicz

Interactions of strings and D-branes from M theory

19 pages, 3 figures, uses harvmac.tex and epsf.tex. Added a discussion of Kaluza-Klein monopoles and some minor changes

Nucl.Phys.B474:309-322,1996

10.1016/0550-3213(96)00292-1

TAUP-2324-96

hep-th

null

We discuss the relation between M theory and type II string theories. We show that, assuming ``natural'' interactions between membranes and fivebranes in M theory, the known interactions between strings and D-branes in type II string theories arise in appropriate limits. Our discussion of the interactions is purely at the classical level. We remark on issues associated with the M theory approach to enhanced gauge symmetries, which deserve further investigation.

[ { "created": "Tue, 5 Mar 1996 09:17:30 GMT", "version": "v1" }, { "created": "Mon, 1 Apr 1996 16:41:52 GMT", "version": "v2" } ]

2009-09-29

[ [ "Aharony", "Ofer", "" ], [ "Sonnenschein", "Jacob", "" ], [ "Yankielowicz", "Shimon", "" ] ]

We discuss the relation between M theory and type II string theories. We show that, assuming ``natural'' interactions between membranes and fivebranes in M theory, the known interactions between strings and D-branes in type II string theories arise in appropriate limits. Our discussion of the interactions is purely at the classical level. We remark on issues associated with the M theory approach to enhanced gauge symmetries, which deserve further investigation.

10.181643

9.385977

10.641055

9.091067

9.183494

9.445965

8.85312

8.296927

8.639914

11.6416

8.812459

8.79725

10.428438

9.205735

9.16889

8.907579

9.386242

8.973462

9.154576

10.253097

9.0255

2007.12675

Luiz Colatto

L.P. Colatto, A.L.A. Penna, W.C. Santos

Bumblebee field in a Topological Framework

12 pages, 6 figures

null

hep-th

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

A vector field coming from spontaneous Lorentz violation mechanism, namely Bumblebee model is analysed in a topological framework in a $(1+2)D$ Minkowski space-time. Taking a $(1+2)D$ nonlinear Bumblebee vector matter field dynamics where we include topological like Chern-Simons type terms, a vector version of a soliton state, or vortex was found. The Nielsen-Olesen procedure was used in order to derive a Lorentz-violation vector parameter which characterizes, via Spontaneous Symmetry Breaking mechanism, the non-trivial vacuum. We verify the stability of the model as much as the magnetic vortex, and noticed that the soliton modes with polarized direction generated can be associated with local anisotropy of vacuum energy. The vortex equations of motion and the asymptotic behaviour is presented. We have obtained that the effect of the Lorentz symmetry violation expressed by the a time-like Bumblebee vector field vacuum could be shown as kind of pulse at a fixed point $r_0$ in a limitless universe, or as a barrier at $r_0$ which can represent a boundary in the universe, if the Bumblebee vector field vacuum has space-like characteristic. We also analyse the spectrum via propagators where we note that the topological mass contributes as well to the dynamical mass poles. We obtain that the Chern-Simons type terms, in fact, indicates the "speed" of the field to saturate the asymptotic limit and that the vortex core can not be dimension zero.

[ { "created": "Fri, 24 Jul 2020 17:43:55 GMT", "version": "v1" } ]

2020-07-27

[ [ "Colatto", "L. P.", "" ], [ "Penna", "A. L. A.", "" ], [ "Santos", "W. C.", "" ] ]

A vector field coming from spontaneous Lorentz violation mechanism, namely Bumblebee model is analysed in a topological framework in a $(1+2)D$ Minkowski space-time. Taking a $(1+2)D$ nonlinear Bumblebee vector matter field dynamics where we include topological like Chern-Simons type terms, a vector version of a soliton state, or vortex was found. The Nielsen-Olesen procedure was used in order to derive a Lorentz-violation vector parameter which characterizes, via Spontaneous Symmetry Breaking mechanism, the non-trivial vacuum. We verify the stability of the model as much as the magnetic vortex, and noticed that the soliton modes with polarized direction generated can be associated with local anisotropy of vacuum energy. The vortex equations of motion and the asymptotic behaviour is presented. We have obtained that the effect of the Lorentz symmetry violation expressed by the a time-like Bumblebee vector field vacuum could be shown as kind of pulse at a fixed point $r_0$ in a limitless universe, or as a barrier at $r_0$ which can represent a boundary in the universe, if the Bumblebee vector field vacuum has space-like characteristic. We also analyse the spectrum via propagators where we note that the topological mass contributes as well to the dynamical mass poles. We obtain that the Chern-Simons type terms, in fact, indicates the "speed" of the field to saturate the asymptotic limit and that the vortex core can not be dimension zero.

19.101578

19.007538

18.658094

18.029406

18.27033

18.929796

20.203575

19.0858

18.743242

20.086224

18.617847

18.392773

18.562458

18.218256

18.622726

18.335079

18.563786

18.497013

18.479399

18.99552

17.96006

hep-th/0003245

Sergei Ketov

Sergei V. Ketov (NBI, Copenhagen & ITP, Hannover & HCEI, Tomsk)

Anomalous N=2 superconformal Ward identities

24 pages; two references added; to appear in Nucl. Phys. B

Nucl.Phys. B582 (2000) 119-138

10.1016/S0550-3213(00)00266-2

NBI-HE-00-17, ITP-UH-04/00 and DESY 00-048

hep-th

null

The N=2 superconformal Ward identities and their anomalies are discussed in N=2 superspace (including N=2 harmonic superspace), at the level of the low-energy effective action (LEEA) in four-dimensional N=2 supersymmetric field theories. The (first) chiral N=2 supergravity compensator is related to the known N=2 anomalous Ward identity in the N=2 (abelian) vector mulitplet sector. As regards the hypermultiplet LEEA given by the N=2 non-linear sigma-model (NLSM), a new anomalous N=2 superconformal Ward identity is found, whose existence is related to the (second) analytic compensator in N=2 supergravity. The celebrated solution of Seiberg and Witten is known to obey the (first) anomalous Ward identity in the Coulomb branch. We find a few solutions to the new anomalous Ward identity, after making certain assumptions about unbroken internal symmetries. Amongst the N=2 NLSM target space metrics governing the hypermultiplet LEEA are the SU(2)-Yang-Mills-Higgs monopole moduli-space metrics that can be encoded in terms of the spectral curves (Riemann surfaces), similarly to the Seiberg-Witten-type solutions. After a dimensional reduction to three spacetime dimensions (3d), our results support the mirror symmetry between the Coulomb and Higgs branches in 3d, N=4 gauge theories.

[ { "created": "Mon, 27 Mar 2000 15:10:49 GMT", "version": "v1" }, { "created": "Wed, 5 Apr 2000 18:34:19 GMT", "version": "v2" }, { "created": "Tue, 18 Apr 2000 15:36:19 GMT", "version": "v3" } ]

2009-10-31

[ [ "Ketov", "Sergei V.", "", "NBI, Copenhagen & ITP, Hannover & HCEI, Tomsk" ] ]

The N=2 superconformal Ward identities and their anomalies are discussed in N=2 superspace (including N=2 harmonic superspace), at the level of the low-energy effective action (LEEA) in four-dimensional N=2 supersymmetric field theories. The (first) chiral N=2 supergravity compensator is related to the known N=2 anomalous Ward identity in the N=2 (abelian) vector mulitplet sector. As regards the hypermultiplet LEEA given by the N=2 non-linear sigma-model (NLSM), a new anomalous N=2 superconformal Ward identity is found, whose existence is related to the (second) analytic compensator in N=2 supergravity. The celebrated solution of Seiberg and Witten is known to obey the (first) anomalous Ward identity in the Coulomb branch. We find a few solutions to the new anomalous Ward identity, after making certain assumptions about unbroken internal symmetries. Amongst the N=2 NLSM target space metrics governing the hypermultiplet LEEA are the SU(2)-Yang-Mills-Higgs monopole moduli-space metrics that can be encoded in terms of the spectral curves (Riemann surfaces), similarly to the Seiberg-Witten-type solutions. After a dimensional reduction to three spacetime dimensions (3d), our results support the mirror symmetry between the Coulomb and Higgs branches in 3d, N=4 gauge theories.

6.221835

6.768437

7.545012

6.394468

6.647054

6.820122

6.491089

6.604358

6.278015

8.176795

6.414178

6.137464

6.598341

6.249797

6.108928

6.011147

6.12111

6.241107

6.153422

6.576155

6.126873

2405.09289

Andreas Belaey

Andreas Belaey, Francesca Mariani, Thomas G. Mertens

Gravitational wavefunctions in JT supergravity

54 pages

null

hep-th math-ph math.MP math.RT

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

We determine explicit expressions for the continuous two-sided gravitational wavefunctions in supersymmetric versions of JT gravity, focusing mainly on $\mathcal{N}=2$ JT supergravity. Our approach is based on representation theory of the associated supergroup, for which we determine the relevant mixed parabolic matrix elements that implement asymptotic AdS boundary conditions at the quantum level. We match our expressions with those found by solving the energy-eigenvalue equation of arXiv:2207.00408. We discuss gravitational applications by computing several amplitudes of interest, and address how our framework can be generalized further.

[ { "created": "Wed, 15 May 2024 12:22:21 GMT", "version": "v1" } ]

2024-05-16

[ [ "Belaey", "Andreas", "" ], [ "Mariani", "Francesca", "" ], [ "Mertens", "Thomas G.", "" ] ]

We determine explicit expressions for the continuous two-sided gravitational wavefunctions in supersymmetric versions of JT gravity, focusing mainly on $\mathcal{N}=2$ JT supergravity. Our approach is based on representation theory of the associated supergroup, for which we determine the relevant mixed parabolic matrix elements that implement asymptotic AdS boundary conditions at the quantum level. We match our expressions with those found by solving the energy-eigenvalue equation of arXiv:2207.00408. We discuss gravitational applications by computing several amplitudes of interest, and address how our framework can be generalized further.

19.89752

18.876698

20.409969

18.810198

20.775202

19.155149

19.648005

19.414583

17.774891

23.453798

18.88571

18.729555

20.187119

19.495977

20.183558

19.179142

18.563215

19.21376

19.053963

19.306047

18.560369

2308.11856

Sara Heshmatian

Sara Heshmatian, Alexander Trounev

Thermal quench of a dynamical QCD model in an external electric field

18 pages, 9 figures

null

hep-th

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

In this article, we investigate the thermal equilibration of the holographic QCD model dual to the Einstein-Maxwell-Dilaton (EMD) gravity in the presence of an external electric field. The model captures the QCD features at finite temperature and finite chemical potential in both confinement and deconfinement phases and could be considered a good candidate to study the dynamics of the strongly interacting system in out-of-equilibrium conditions. For this purpose, we examine the instability imposed by an external electric field using the AdS/CFT dictionary and study the electric current flow and its relaxation for this holographic model in the presence of constant and time-dependent electric fields. We study the effects of temperature, electric field strength, and chemical potential on the stationary state. Additionally, we investigate the behavior of the equilibration time and its rescaled value for the time-dependent case. Finally, we compare our results to those from other holographic models.

[ { "created": "Wed, 23 Aug 2023 01:11:51 GMT", "version": "v1" }, { "created": "Tue, 16 Jan 2024 15:21:35 GMT", "version": "v2" } ]

2024-01-17

[ [ "Heshmatian", "Sara", "" ], [ "Trounev", "Alexander", "" ] ]

In this article, we investigate the thermal equilibration of the holographic QCD model dual to the Einstein-Maxwell-Dilaton (EMD) gravity in the presence of an external electric field. The model captures the QCD features at finite temperature and finite chemical potential in both confinement and deconfinement phases and could be considered a good candidate to study the dynamics of the strongly interacting system in out-of-equilibrium conditions. For this purpose, we examine the instability imposed by an external electric field using the AdS/CFT dictionary and study the electric current flow and its relaxation for this holographic model in the presence of constant and time-dependent electric fields. We study the effects of temperature, electric field strength, and chemical potential on the stationary state. Additionally, we investigate the behavior of the equilibration time and its rescaled value for the time-dependent case. Finally, we compare our results to those from other holographic models.

6.424196

6.249296

6.395994

5.847313

6.275403

5.92448

6.306854

6.417999

5.883028

6.470682

5.825233

5.800573

5.915099

5.817322

5.722383

5.85683

5.798105

5.70971

5.776335

6.011559

5.769547

1605.09156

Niko Jokela

Niko Jokela, Jarkko J\"arvel\"a, Alfonso V. Ramallo

Non-relativistic anyons from holography

49 pages, 15 figures, v2: typos fixed, some details clarified, v3: refs. fixed, signs flipped in sec. 4 (conclusions unchanged), published version

null

10.1016/j.nuclphysb.2017.01.014

HIP-2016-17/TH

hep-th cond-mat.str-el

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

We study generic types of holographic matter residing in Lifshitz invariant defect field theory as modeled by adding probe D-branes in the bulk black hole spacetime characterized by dynamical exponent $z$ and with hyperscaling violation exponent $\theta$. Our main focus will be on the collective excitations of the dense matter in the presence of an external magnetic field. Constraining the defect field theory to 2+1 dimensions, we will also allow the gauge fields become dynamical and study the properties of a strongly coupled anyonic fluid. We will deduce the universal properties of holographic matter and find that the Einstein relation always holds.

[ { "created": "Mon, 30 May 2016 09:52:35 GMT", "version": "v1" }, { "created": "Fri, 10 Jun 2016 12:22:04 GMT", "version": "v2" }, { "created": "Thu, 26 Jan 2017 12:59:22 GMT", "version": "v3" } ]

2017-03-08

[ [ "Jokela", "Niko", "" ], [ "Järvelä", "Jarkko", "" ], [ "Ramallo", "Alfonso V.", "" ] ]

We study generic types of holographic matter residing in Lifshitz invariant defect field theory as modeled by adding probe D-branes in the bulk black hole spacetime characterized by dynamical exponent $z$ and with hyperscaling violation exponent $\theta$. Our main focus will be on the collective excitations of the dense matter in the presence of an external magnetic field. Constraining the defect field theory to 2+1 dimensions, we will also allow the gauge fields become dynamical and study the properties of a strongly coupled anyonic fluid. We will deduce the universal properties of holographic matter and find that the Einstein relation always holds.

12.605166

11.358506

14.843456

11.4754

11.794547

11.895658

11.821664

11.97419

10.711341

15.252292

11.505382

11.00913

13.20649

11.681372

12.124836

11.823504

11.602054

11.436566

11.912928

13.369925

11.701291

hep-th/9608040

null

T. Fujiwara, H. Igarashi and Y. Takimoto (Ibaraki Univ.)

Quantum Exchange Algebra and Locality in Liouville Theory

11 pages, LaTeX, no figures

Phys.Lett. B391 (1997) 78-86

10.1016/S0370-2693(96)01464-5

IU-MSTP/15

hep-th

null

Exact operator solution for quantum Liouville theory is investigated based on the canonical free field. Locality, the field equation and the canonical commutation relations are examined based on the exchange algebra hidden in the theory. The exact solution proposed by Otto and Weigt is shown to be correct to all order in the cosmological constant.

[ { "created": "Thu, 8 Aug 1996 03:52:15 GMT", "version": "v1" } ]

2009-10-30

[ [ "Fujiwara", "T.", "", "Ibaraki Univ." ], [ "Igarashi", "H.", "", "Ibaraki Univ." ], [ "Takimoto", "Y.", "", "Ibaraki Univ." ] ]

Exact operator solution for quantum Liouville theory is investigated based on the canonical free field. Locality, the field equation and the canonical commutation relations are examined based on the exchange algebra hidden in the theory. The exact solution proposed by Otto and Weigt is shown to be correct to all order in the cosmological constant.

21.635384

14.987447

18.71558

14.3985

16.148663

16.134493

16.974613

15.136921

14.708749

22.053093

14.390772

16.018536

18.470354

16.363991

16.749592

16.694025

17.366905

16.325432

16.733051

20.257481

16.404409

1110.6033

Diego S\'aez-G\'omez

Scalar-tensor theory with Lagrange multipliers: a way of understanding the cosmological constant problem, and future singularities

10 pages. Version accepted in Phys. Rev. D

Phys. Rev. D 85, 023009 (2012)

10.1103/PhysRevD.85.023009

null

hep-th astro-ph.CO gr-qc

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

The use of Lagrange multipliers in the context of quintessence/phantom scalar fields allows to constrain the behavior of the scalar field, which provides a powerful tool, not only for the reconstruction of cosmological solutions but also for the study of some problems in cosmology and gravitational physics. In the present paper, we focus on the reconstruction of cosmological solutions capable of controlling the cosmological constant value by imposing a constraint on the scalar field, providing a relaxation mechanism of the value of the cosmological constant. The formalism is also extended to the study of phantom scalar fields with a future singularity and their conformal transformation to the Jordan frame, where a type of modified gravity, constrained by the Lagrange multiplier, is obtained.

[ { "created": "Thu, 27 Oct 2011 09:48:55 GMT", "version": "v1" }, { "created": "Mon, 9 Jan 2012 11:16:18 GMT", "version": "v2" } ]

2015-05-30

[ [ "Sáez-Gómez", "Diego", "" ] ]

The use of Lagrange multipliers in the context of quintessence/phantom scalar fields allows to constrain the behavior of the scalar field, which provides a powerful tool, not only for the reconstruction of cosmological solutions but also for the study of some problems in cosmology and gravitational physics. In the present paper, we focus on the reconstruction of cosmological solutions capable of controlling the cosmological constant value by imposing a constraint on the scalar field, providing a relaxation mechanism of the value of the cosmological constant. The formalism is also extended to the study of phantom scalar fields with a future singularity and their conformal transformation to the Jordan frame, where a type of modified gravity, constrained by the Lagrange multiplier, is obtained.

9.088709

8.747193

8.279649

8.158705

8.64414

8.036276

9.205396

7.781991

8.230914

8.567447

8.632942

8.685432

8.146148

8.326199

8.284579

8.559473

8.455181

8.238221

8.495377

8.185814

8.582935

2011.12887

Michele Cirafici

A note on discrete dynamical systems in theories of class $S$

33 pages, a Mathematica notebook is included with the paper; v2 minor changes, published version

JHEP05(2021)224

10.1007/JHEP05(2021)224

null

hep-th math-ph math.MP

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

In this note we consider the set of line operators in theories of class $S$. We show that this set carries the action of a natural discrete dynamical system associated with the BPS spectrum. We discuss several applications of this perspective; the relation with global properties of the theory; the set of constraints imposed on the spectrum generator, in particular for the case of SU(2) $\mathcal{N}=2^*$; and the relation between line defects and certain spherical Double Affine Hecke Algebras.

[ { "created": "Wed, 25 Nov 2020 17:14:19 GMT", "version": "v1" }, { "created": "Mon, 26 Jul 2021 13:47:23 GMT", "version": "v2" } ]

2021-07-27

[ [ "Cirafici", "Michele", "" ] ]

In this note we consider the set of line operators in theories of class $S$. We show that this set carries the action of a natural discrete dynamical system associated with the BPS spectrum. We discuss several applications of this perspective; the relation with global properties of the theory; the set of constraints imposed on the spectrum generator, in particular for the case of SU(2) $\mathcal{N}=2^*$; and the relation between line defects and certain spherical Double Affine Hecke Algebras.

11.752695

10.996358

13.667253

9.778762

11.696881

11.021648

10.744643

10.841022

9.638816

13.610301

9.696784

10.409169

10.972474

10.011396

10.326519

10.149789

9.94737

9.997607

10.232805

11.082763

10.087133

1604.08812

Ruth Gregory

Michael Appels, Ruth Gregory and David Kubiznak

Thermodynamics of Accelerating Black Holes

5 pages, 2 figures

Phys. Rev. Lett. 117, 131303 (2016)

10.1103/PhysRevLett.117.131303

DCPT-16/15

hep-th gr-qc

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

We address a long-standing problem of describing the thermodynamics of a charged accelerating black hole. We derive a standard first law of black hole thermodynamics, with the usual identification of entropy proportional to the area of the event horizon -- even though the event horizon contains a conical singularity. This result not only extends the applicability of black hole thermodynamics to realms previously not anticipated, it also opens a possibility for studying novel properties of an important class of exact radiative solutions of Einstein equations describing accelerated objects. We discuss the thermodynamic volume, stability and phase structure of these black holes.

[ { "created": "Fri, 29 Apr 2016 13:00:43 GMT", "version": "v1" }, { "created": "Wed, 1 Feb 2017 20:56:36 GMT", "version": "v2" } ]

2017-02-03

[ [ "Appels", "Michael", "" ], [ "Gregory", "Ruth", "" ], [ "Kubiznak", "David", "" ] ]

We address a long-standing problem of describing the thermodynamics of a charged accelerating black hole. We derive a standard first law of black hole thermodynamics, with the usual identification of entropy proportional to the area of the event horizon -- even though the event horizon contains a conical singularity. This result not only extends the applicability of black hole thermodynamics to realms previously not anticipated, it also opens a possibility for studying novel properties of an important class of exact radiative solutions of Einstein equations describing accelerated objects. We discuss the thermodynamic volume, stability and phase structure of these black holes.

9.601109

9.123381

8.547709

8.866427

8.881582

8.222069

9.603803

9.377703

8.426972

8.858236

9.022761

9.012524

8.988894

8.668901

8.989439

8.593163

9.135106

8.883614

8.958266

8.603813

8.466228

0706.3786

Iosif Bena

Iosif Bena, Chih-Wei Wang and Nicholas P. Warner

Plumbing the Abyss: Black Ring Microstates

34 pages, 4 figures

JHEP0807:019,2008

10.1088/1126-6708/2008/07/019

SPhT-T07/075

hep-th

null

We construct the first smooth, horizonless ``microstate geometries'' that have the same charges, dipole charges and angular momenta as a BPS black ring whose horizon is macroscopic. These solutions have exactly the same geometry as black rings, except that the usual infinite throat is smoothly capped off at a very large depth. If the solutions preserve a U(1)x U(1) isometry, then this depth is limited by flux quantization but if this symmetry is broken then the throat can be made arbitrarily deep by tuning classical, geometric moduli. Interpreting these ``abysses'' (smooth microstate geometries of arbitrary depth) from the point of view of the AdS-CFT correspondence suggests two remarkable alternatives: either stringy effects can eliminate very large regions of a smooth low-curvature supergravity solution, or the D1-D5-P CFT has quantum critical points. The existence of solutions whose depth depends on moduli also enables us to define ``entropy elevators,'' and these provide a new tool for studying the entropy of BPS and near-BPS black holes.

[ { "created": "Tue, 26 Jun 2007 19:27:05 GMT", "version": "v1" }, { "created": "Fri, 2 May 2008 19:50:00 GMT", "version": "v2" } ]

2008-11-26

[ [ "Bena", "Iosif", "" ], [ "Wang", "Chih-Wei", "" ], [ "Warner", "Nicholas P.", "" ] ]

We construct the first smooth, horizonless ``microstate geometries'' that have the same charges, dipole charges and angular momenta as a BPS black ring whose horizon is macroscopic. These solutions have exactly the same geometry as black rings, except that the usual infinite throat is smoothly capped off at a very large depth. If the solutions preserve a U(1)x U(1) isometry, then this depth is limited by flux quantization but if this symmetry is broken then the throat can be made arbitrarily deep by tuning classical, geometric moduli. Interpreting these ``abysses'' (smooth microstate geometries of arbitrary depth) from the point of view of the AdS-CFT correspondence suggests two remarkable alternatives: either stringy effects can eliminate very large regions of a smooth low-curvature supergravity solution, or the D1-D5-P CFT has quantum critical points. The existence of solutions whose depth depends on moduli also enables us to define ``entropy elevators,'' and these provide a new tool for studying the entropy of BPS and near-BPS black holes.

11.573126

12.317214

14.913384

11.695258

11.35956

12.438881

11.314229

11.893417

12.336355

15.482935

11.485993

11.778361

12.371004

11.774413

11.009578

11.27056

10.882526

11.435864

11.825312

12.621999

11.454757

hep-th/9503190

Ryuichi Nakayama

Ryuichi Nakayama and Toshiya Suzuki

Integrability of Schwinger-Dyson Equations in 2D Quantum Gravity and c < 1 Non-critical String Field Theory

15 pages, Latex, 4 figures

Phys.Lett. B354 (1995) 69-77

10.1016/0370-2693(95)00615-R

EPHOU-95002, HUPS-94-5

hep-th

null

We investigate the integrability of the Schwinger-Dyson equations in $c = 1 - \frac{6}{m(m+1)}$ string field theory which were proposed by Ikehara et al as the continuum limit of the Schwinger-Dyson equations of the matrix chain model. We show the continuum Schwinger-Dyson equations generate a closed algebra. This algebra contains Virasoro algebra but does not coincide with $W_{\infty}$ algebra. We include in the Schwinger-Dyson equations a new process of removing from the loop boundaries the operator ${\cal H}(\sigma)$ which locally changes the spin configuration. We also derive the string field Hamiltonian from the continuum Schwinger-Dyson equations. Its form is universal for all $c = 1 - \frac{6}{m(m+1)}$ string theories.

[ { "created": "Tue, 28 Mar 1995 06:23:46 GMT", "version": "v1" } ]

2009-10-28

[ [ "Nakayama", "Ryuichi", "" ], [ "Suzuki", "Toshiya", "" ] ]

We investigate the integrability of the Schwinger-Dyson equations in $c = 1 - \frac{6}{m(m+1)}$ string field theory which were proposed by Ikehara et al as the continuum limit of the Schwinger-Dyson equations of the matrix chain model. We show the continuum Schwinger-Dyson equations generate a closed algebra. This algebra contains Virasoro algebra but does not coincide with $W_{\infty}$ algebra. We include in the Schwinger-Dyson equations a new process of removing from the loop boundaries the operator ${\cal H}(\sigma)$ which locally changes the spin configuration. We also derive the string field Hamiltonian from the continuum Schwinger-Dyson equations. Its form is universal for all $c = 1 - \frac{6}{m(m+1)}$ string theories.

7.336209

6.813789

10.072025

7.107552

7.421891

7.038598

6.658108

7.253062

6.927738

9.290005

6.876866

6.810442

7.814843

6.886002

6.925911

6.990595

6.940296

6.8897

6.942315

7.895039

6.582807

0807.4216

Ching-Ming Chen

Ching-Ming Chen, Tianjun Li, V.E. Mayes, and D.V. Nanopoulos

Yukawa Corrections from Four-Point Functions in Intersecting D6-Brane Models

24 pages, 4 figures

Phys.Rev.D78:105015,2008

10.1103/PhysRevD.78.105015

ACT-03-08, MIFP-08-19

hep-th astro-ph hep-ph

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

We discuss corrections to the Yukawa matrices of the Standard Model (SM) fermions in intersecting D-brane models due to four-point interactions. Recently, an intersecting D-brane model has been found where it is possible to obtain correct masses and mixings for all quarks as well as the tau lepton. However, the masses for the first two charged leptons come close to the right values but are not quite correct. Since the electron and muon are quite light, it is likely that there are additional corrections to their masses which cannot be neglected. With this in mind, we consider contributions to the SM fermion mass matrices from four-point interactions. In an explicit model, we show that it is indeed possible to obtain the SM fermion masses and mixings which are a better match to those resulting from experimental data extrapolated at the unification scale when these corrections are included. These corrections may have broader application to other models.

[ { "created": "Sat, 26 Jul 2008 04:37:58 GMT", "version": "v1" }, { "created": "Fri, 12 Sep 2008 15:24:06 GMT", "version": "v2" } ]

2009-02-23

[ [ "Chen", "Ching-Ming", "" ], [ "Li", "Tianjun", "" ], [ "Mayes", "V. E.", "" ], [ "Nanopoulos", "D. V.", "" ] ]

We discuss corrections to the Yukawa matrices of the Standard Model (SM) fermions in intersecting D-brane models due to four-point interactions. Recently, an intersecting D-brane model has been found where it is possible to obtain correct masses and mixings for all quarks as well as the tau lepton. However, the masses for the first two charged leptons come close to the right values but are not quite correct. Since the electron and muon are quite light, it is likely that there are additional corrections to their masses which cannot be neglected. With this in mind, we consider contributions to the SM fermion mass matrices from four-point interactions. In an explicit model, we show that it is indeed possible to obtain the SM fermion masses and mixings which are a better match to those resulting from experimental data extrapolated at the unification scale when these corrections are included. These corrections may have broader application to other models.

7.638682

8.836473

7.817931

7.509478

7.913754

7.806937

8.297844

7.799105

7.695301

7.954362

7.752877

7.391796

7.373521

7.349278

7.416802

7.622176

7.470798

7.379295

7.631461

7.700001

7.255467

hep-th/0006018

Lorenzo Cornalba

L. Cornalba (IHES)

On the General Structure of the Non-Abelian Born-Infeld Action

60 pages, minor errors corrected, references added

Adv.Theor.Math.Phys. 4 (2000) 1259-1318

null

hep-th

null

We discuss the general structure of the non-abelian Born-Infeld action, together with all of the alpha-prime derivative corrections, in flat D-dimensional space-time. More specifically, we show how the connection between open strings propagating in background magnetic fields and gauge theories on non-commutative spaces can be used to constrain the form of the effective action for the massless modes of open strings at week coupling. In particular, we exploit the invariance in form of the effective action under a change of non-commutativity scale of space-time to derive algebraic equations relating the various terms in the alpha- prime expansion. Moreover, we explicitly solve these equations in the simple case D=2, and we show, in particular, how to construct the minimal invariant derivative extension of the NBI action.

[ { "created": "Fri, 2 Jun 2000 16:15:11 GMT", "version": "v1" }, { "created": "Sun, 4 Jun 2000 15:30:42 GMT", "version": "v2" }, { "created": "Fri, 14 Jul 2000 10:13:12 GMT", "version": "v3" }, { "created": "Mon, 1 Jan 2001 19:20:24 GMT", "version": "v4" } ]

2007-05-23

[ [ "Cornalba", "L.", "", "IHES" ] ]

We discuss the general structure of the non-abelian Born-Infeld action, together with all of the alpha-prime derivative corrections, in flat D-dimensional space-time. More specifically, we show how the connection between open strings propagating in background magnetic fields and gauge theories on non-commutative spaces can be used to constrain the form of the effective action for the massless modes of open strings at week coupling. In particular, we exploit the invariance in form of the effective action under a change of non-commutativity scale of space-time to derive algebraic equations relating the various terms in the alpha- prime expansion. Moreover, we explicitly solve these equations in the simple case D=2, and we show, in particular, how to construct the minimal invariant derivative extension of the NBI action.

9.682129

10.035813

9.686236

9.261737

9.437669

9.188032

9.284857

9.441491

8.783029

10.733414

9.196867

9.565031

9.352462

9.023443

9.051489

9.419031

8.813339

9.251168

8.874189

9.043135

8.894676

hep-th/9604086

Elisha Atzmon

E. Atzmon

Invariant Kinematics on a One-Dimensional Lattice in Noncommutative Geometry

17 pages, latex, epsf, amssymbols, 2 figures. Final version to be published in IJMPA

Int.J.Mod.Phys. A13 (1998) 1159-1168

10.1142/S0217751X98000524

TAUP-2335-96

hep-th

null

In a one-dimensional lattice, the induced metric (from a noncommutative geometry calculation) breaks translation invariance. This leads to some inconsistencies among different spectator frames, in the observation of the hoppings of a test particle between lattice sites. To resolve the inconsistencies between the different spectator frames, we replace the test particle's bare mass by an effective locally dependent mass. This effective mass also depends on the lattice constant - i.e. it is a scale dependent variable (a "running" mass). We also develop an alternative approach based on a compensating potential. The induced potential between a spectator frame and the test particle is attractive on the average. We then show that the entire formalism holds for a quantum particle represented by a wave function, just as it applies to the mechanics of a classical point particle.

[ { "created": "Tue, 16 Apr 1996 16:53:01 GMT", "version": "v1" }, { "created": "Fri, 4 Jul 1997 07:29:58 GMT", "version": "v2" } ]

2009-10-30

[ [ "Atzmon", "E.", "" ] ]

In a one-dimensional lattice, the induced metric (from a noncommutative geometry calculation) breaks translation invariance. This leads to some inconsistencies among different spectator frames, in the observation of the hoppings of a test particle between lattice sites. To resolve the inconsistencies between the different spectator frames, we replace the test particle's bare mass by an effective locally dependent mass. This effective mass also depends on the lattice constant - i.e. it is a scale dependent variable (a "running" mass). We also develop an alternative approach based on a compensating potential. The induced potential between a spectator frame and the test particle is attractive on the average. We then show that the entire formalism holds for a quantum particle represented by a wave function, just as it applies to the mechanics of a classical point particle.

15.071687

16.021292

15.941833

15.08906

17.317846

15.89667

14.884671

14.96492

14.842289

17.665106

15.038564

13.82723

14.833611

14.293953

13.739899

14.182482

14.2872

13.900856

14.375364

14.830255

14.1946

hep-th/0006124

Carlos Pinheiro

Carlos Pinheiro (UFES, Brazil), F.C.Khanna (UofA, Canada)

Quantum Gravity in D=5 Dimensions

10 pages, AMStex

null

hep-th gr-qc

null

We propose a topological Chern-Simons term in D=5 dimensions coupled to Einstein Hilbert theory. Hartree approximation for topological Lagrangian and the Chern-Simons term in D=3 is considered. An effective model of Quantum Gravity in D=5 dimensions is presented here. The analysis of residues is considered and the unitarity is guaranteed at tree level. The propagator is ghost and tachyon free.

[ { "created": "Fri, 16 Jun 2000 20:38:01 GMT", "version": "v1" }, { "created": "Thu, 22 Jun 2000 00:55:54 GMT", "version": "v2" } ]

2007-05-23

[ [ "Pinheiro", "Carlos", "", "UFES, Brazil" ], [ "Khanna", "F. C.", "", "UofA, Canada" ] ]

We propose a topological Chern-Simons term in D=5 dimensions coupled to Einstein Hilbert theory. Hartree approximation for topological Lagrangian and the Chern-Simons term in D=3 is considered. An effective model of Quantum Gravity in D=5 dimensions is presented here. The analysis of residues is considered and the unitarity is guaranteed at tree level. The propagator is ghost and tachyon free.

14.583155

13.334414

14.187444

12.951895

12.589696

13.010842

13.682218

13.143847

12.641143

15.501185

13.997835

13.337613

13.215569

12.439841

13.12574

12.525081

13.138283

12.554494

12.879398

13.712684

13.083733

hep-th/0208135

David Nolland

Paul Mansfield, David Nolland and Tatsuya Ueno

Order $1/N^2$ test of the Maldacena conjecture II: the full bulk one-loop contribution to the boundary Weyl anomaly

LaTeX, 6pp

Phys.Lett. B565 (2003) 207-210

10.1016/S0370-2693(03)00750-0

null

hep-th

null

We compute the complete bulk one-loop contribution to the Weyl anomaly of the boundary theory for IIB Supergravity compactified on $ AdS_5\times S^5$. The result, that $\delta {\cal A}=(E+I)/(2\pi^2)$, reproduces the subleading term in the exact expression ${\cal A}=-(N^2-1)(E+I)/(2\pi^2)$ for the Weyl anomaly of ${\cal N}=4$ Super-Yang-Mills theory, confirming the Maldacena conjecture. The anomaly receives contributions from all multiplets casting doubt on the possibility of describing the boundary theory beyond leading order in $N$ by a consistent truncation to the `massless' multiplet of IIB Supergravity.

[ { "created": "Mon, 19 Aug 2002 18:37:45 GMT", "version": "v1" }, { "created": "Tue, 24 Sep 2002 13:37:12 GMT", "version": "v2" }, { "created": "Tue, 6 May 2003 10:37:19 GMT", "version": "v3" } ]

2009-11-07

[ [ "Mansfield", "Paul", "" ], [ "Nolland", "David", "" ], [ "Ueno", "Tatsuya", "" ] ]

We compute the complete bulk one-loop contribution to the Weyl anomaly of the boundary theory for IIB Supergravity compactified on $ AdS_5\times S^5$. The result, that $\delta {\cal A}=(E+I)/(2\pi^2)$, reproduces the subleading term in the exact expression ${\cal A}=-(N^2-1)(E+I)/(2\pi^2)$ for the Weyl anomaly of ${\cal N}=4$ Super-Yang-Mills theory, confirming the Maldacena conjecture. The anomaly receives contributions from all multiplets casting doubt on the possibility of describing the boundary theory beyond leading order in $N$ by a consistent truncation to the `massless' multiplet of IIB Supergravity.

6.089383

6.071256

6.556287

5.757177

6.371841

6.062821

5.722783

5.558002

5.542566

6.25927

5.732185

5.833688

6.1273

5.578797

5.634807

5.686663

5.734724

5.793078

5.655046

6.005989

5.724436

1702.01016

Bruno Carneiro da Cunha

Juli\'an Barrag\'an Amado, Bruno Carneiro da Cunha and Elisabetta Pallante

On the Kerr-AdS/CFT correspondence

JHEP3 style, 34 pages, 2 figures; Minor changes in the text and a corrected near-extremal radial monodromy calculation. Version accepted to JHEP

null

hep-th gr-qc

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

We review the relation between four-dimensional global conformal blocks and field propagation in ${\rm AdS_5}$. Following the standard argument that marginal perturbations should backreact in the geometry, we turn to the study of scalar fields in the generic Kerr-${\rm AdS_5}$ geometry. On one hand, the result for scattering coefficients can be obtained exactly using the isomonodromy technique, giving exact expressions in terms of $c=1$ chiral conformal blocks. On the other hand, one can use the analogy between the scalar field equations to the Level 2 null field Ward identity in two dimensional Liouville field theory to write approximate expressions for the same coefficients in terms of semi-classical chiral Liouville conformal blocks. Surprisingly, the conformal block thus constructed has a well-behaved interpretation in terms of Liouville vertex operators.

[ { "created": "Fri, 3 Feb 2017 14:17:37 GMT", "version": "v1" }, { "created": "Tue, 8 Aug 2017 12:06:16 GMT", "version": "v2" } ]

2017-08-09

[ [ "Amado", "Julián Barragán", "" ], [ "da Cunha", "Bruno Carneiro", "" ], [ "Pallante", "Elisabetta", "" ] ]

We review the relation between four-dimensional global conformal blocks and field propagation in ${\rm AdS_5}$. Following the standard argument that marginal perturbations should backreact in the geometry, we turn to the study of scalar fields in the generic Kerr-${\rm AdS_5}$ geometry. On one hand, the result for scattering coefficients can be obtained exactly using the isomonodromy technique, giving exact expressions in terms of $c=1$ chiral conformal blocks. On the other hand, one can use the analogy between the scalar field equations to the Level 2 null field Ward identity in two dimensional Liouville field theory to write approximate expressions for the same coefficients in terms of semi-classical chiral Liouville conformal blocks. Surprisingly, the conformal block thus constructed has a well-behaved interpretation in terms of Liouville vertex operators.

12.926031

12.726327

13.725188

11.289342

11.608315

12.496606

11.541689

12.108962

11.173414

12.684901

10.713517

11.799371

12.121518

11.745801

11.736126

11.671762

11.547857

11.798221

11.901757

12.841349

11.653063

hep-th/0510119

Hiroshige Kajiura

Categories of holomorphic line bundles on higher dimensional noncommutative complex tori

28 pages

J.Math.Phys.48:053517,2007

10.1063/1.2719564

null

hep-th math.AG math.QA

null

We construct explicitly noncommutative deformations of categories of holomorphic line bundles over higher dimensional tori. Our basic tools are Heisenberg modules over noncommutative tori and complex/holomorphic structures on them introduced by A. Schwarz. We obtain differential graded (DG) categories as full subcategories of curved DG categories of Heisenberg modules over the complex noncommutative tori. Also, we present the explicit composition formula of morphisms, which in fact depends on the noncommutativity.

[ { "created": "Fri, 14 Oct 2005 17:24:16 GMT", "version": "v1" } ]

2008-11-26

[ [ "Kajiura", "Hiroshige", "" ] ]

We construct explicitly noncommutative deformations of categories of holomorphic line bundles over higher dimensional tori. Our basic tools are Heisenberg modules over noncommutative tori and complex/holomorphic structures on them introduced by A. Schwarz. We obtain differential graded (DG) categories as full subcategories of curved DG categories of Heisenberg modules over the complex noncommutative tori. Also, we present the explicit composition formula of morphisms, which in fact depends on the noncommutativity.

8.635288

9.331418

10.131081

9.119308

9.03069

8.91762

9.138263

9.17317

8.603378

11.520597

8.848898

8.161251

9.311559

8.543509

8.479215

8.32478

8.028047

8.421547

8.611113

8.892787

8.385039

1609.00026

Mark Van Raamsdonk

Lectures on Gravity and Entanglement

75 pages, beta version: please e-mail corrections

null

10.1142/9789813149441_0005

null

hep-th gr-qc quant-ph

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

The AdS/CFT correspondence provides quantum theories of gravity in which spacetime and gravitational physics emerge from ordinary non-gravitational quantum systems with many degrees of freedom. Recent work in this context has uncovered fascinating connections between quantum information theory and quantum gravity, suggesting that spacetime geometry is directly related to the entanglement structure of the underlying quantum mechanical degrees of freedom and that aspects of spacetime dynamics (gravitation) can be understood from basic quantum information theoretic constraints. In these notes, we provide an elementary introduction to these developments, suitable for readers with some background in general relativity and quantum field theory. The notes are based on lectures given at the CERN Spring School 2014, the Jerusalem Winter School 2014, the TASI Summer School 2015, and the Trieste Spring School 2015.

[ { "created": "Wed, 31 Aug 2016 20:09:50 GMT", "version": "v1" } ]

2016-12-21

[ [ "Van Raamsdonk", "Mark", "" ] ]

The AdS/CFT correspondence provides quantum theories of gravity in which spacetime and gravitational physics emerge from ordinary non-gravitational quantum systems with many degrees of freedom. Recent work in this context has uncovered fascinating connections between quantum information theory and quantum gravity, suggesting that spacetime geometry is directly related to the entanglement structure of the underlying quantum mechanical degrees of freedom and that aspects of spacetime dynamics (gravitation) can be understood from basic quantum information theoretic constraints. In these notes, we provide an elementary introduction to these developments, suitable for readers with some background in general relativity and quantum field theory. The notes are based on lectures given at the CERN Spring School 2014, the Jerusalem Winter School 2014, the TASI Summer School 2015, and the Trieste Spring School 2015.

4.514711

4.842468

4.951653

4.558947

4.739905

4.751793

5.383848

4.76538

4.610754

5.022759

4.684142

4.567779

4.835288

4.544887

4.470276

4.565382

4.484227

4.602128

4.571736

4.776646

4.466534

0802.3224

Mark Van Raamsdonk

Black Hole Dynamics From Atmospheric Science

16 pages, LaTeX, v2: caveat regarding relativistic vs non-relativistic fluids added v3: typos corrected

JHEP 0805:106,2008

10.1088/1126-6708/2008/05/106

null

hep-th gr-qc

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

In this note, we derive (to third order in derivatives of the fluid velocity) a 2+1 dimensional theory of fluid dynamics that governs the evolution of generic long-wavelength perturbations of a black brane or large black hole in four-dimensional gravity with negative cosmological constant, applying a systematic procedure developed recently by Bhattacharyya, Hubeny, Minwalla, and Rangamani. In the regime of validity of the fluid-dynamical description, the black-brane evolution will generically correspond to a turbulent flow. Turbulence in 2+1 dimensions has been well studied analytically, numerically, experimentally, and observationally as it provides a first approximation to the large scale dynamics of planetary atmospheres. These studies reveal dramatic differences between fluid flows in 2+1 and 3+1 dimensions, suggesting that the dynamics of perturbed four and five dimensional large AdS black holes may be qualitatively different. However, further investigation is required to understand whether these qualitative differences exist in the regime of fluid dynamics relevant to black hole dynamics.

[ { "created": "Fri, 22 Feb 2008 18:18:33 GMT", "version": "v1" }, { "created": "Thu, 28 Feb 2008 22:49:59 GMT", "version": "v2" }, { "created": "Thu, 6 Mar 2008 17:59:21 GMT", "version": "v3" } ]

2009-12-15

[ [ "Van Raamsdonk", "Mark", "" ] ]

In this note, we derive (to third order in derivatives of the fluid velocity) a 2+1 dimensional theory of fluid dynamics that governs the evolution of generic long-wavelength perturbations of a black brane or large black hole in four-dimensional gravity with negative cosmological constant, applying a systematic procedure developed recently by Bhattacharyya, Hubeny, Minwalla, and Rangamani. In the regime of validity of the fluid-dynamical description, the black-brane evolution will generically correspond to a turbulent flow. Turbulence in 2+1 dimensions has been well studied analytically, numerically, experimentally, and observationally as it provides a first approximation to the large scale dynamics of planetary atmospheres. These studies reveal dramatic differences between fluid flows in 2+1 and 3+1 dimensions, suggesting that the dynamics of perturbed four and five dimensional large AdS black holes may be qualitatively different. However, further investigation is required to understand whether these qualitative differences exist in the regime of fluid dynamics relevant to black hole dynamics.

7.176786

7.050906

7.658412

7.130458

7.535496

7.337126

7.378711

7.21337

6.750701

8.120446

6.656595

6.768068

7.238352

6.792311

6.563293

6.904655

6.785152

6.641419

6.744641

7.022536

6.810241

1312.2902

Javier Tarrio

Transport properties of spacetime-filling branes

27 pages + appendix, 11 figures. v2: analysis of fluctuations improved

null

10.1007/JHEP04(2014)042

ICCUB-13-247

hep-th

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

A model consisting of (d+1)-dimensional gravity coupled to spacetime filling charged branes is used to study the effects of backreaction. The charged black holes arising from this simple model reflect the non-linearity of the gauge field and are thermodynamically stable. By analysing fluctuations of the system we corroborate that at low values of the temperature (or large chemical potential) backreaction effects from the branes are dominant. We also provide a generalisation of the Iqbal and Liu strategy to calculate the DC conductivity, in which a mass term for the gauge field fluctuation is included. This mass term gives the value of the residue of the pole at zero frequency in the imaginary part of the AC conductivity, as well as the running of the DC conductivity with the bulk radius.

[ { "created": "Tue, 10 Dec 2013 18:13:17 GMT", "version": "v1" }, { "created": "Mon, 16 Dec 2013 13:35:49 GMT", "version": "v2" } ]

2015-06-18

[ [ "Tarrio", "Javier", "" ] ]

A model consisting of (d+1)-dimensional gravity coupled to spacetime filling charged branes is used to study the effects of backreaction. The charged black holes arising from this simple model reflect the non-linearity of the gauge field and are thermodynamically stable. By analysing fluctuations of the system we corroborate that at low values of the temperature (or large chemical potential) backreaction effects from the branes are dominant. We also provide a generalisation of the Iqbal and Liu strategy to calculate the DC conductivity, in which a mass term for the gauge field fluctuation is included. This mass term gives the value of the residue of the pole at zero frequency in the imaginary part of the AC conductivity, as well as the running of the DC conductivity with the bulk radius.

12.555236

11.898889

11.597407

10.470492

10.98787

11.39619

11.598815

11.226524

11.037379

12.772043

11.233928

11.441404

12.286186

11.373167

11.523907

11.266829

11.807273

11.616272

11.344566

12.257621

11.204431

1002.3592

Vincent Rivasseau

Joseph Ben Geloun, Thomas Krajewski, Jacques Magnen and Vincent Rivasseau

Linearized Group Field Theory and Power Counting Theorems

16 pages, 4 figures

Class.Quant.Grav.27:155012,2010

10.1088/0264-9381/27/15/155012

null

hep-th

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

We introduce a linearized version of group field theory. It can be viewed either as a group field theory over the additive group of a vector space or as an asymptotic expansion of any group field theory around the unit group element. We prove exact power counting theorems for any graph of such models. For linearized colored models the power counting of any amplitude is further computed in term of the homology of the graph. An exact power counting theorem is also established for a particular class of graphs of the nonlinearized models, which satisfy a planarity condition. Examples and connections with previous results are discussed.

[ { "created": "Thu, 18 Feb 2010 18:30:37 GMT", "version": "v1" } ]

2014-11-20

[ [ "Geloun", "Joseph Ben", "" ], [ "Krajewski", "Thomas", "" ], [ "Magnen", "Jacques", "" ], [ "Rivasseau", "Vincent", "" ] ]

We introduce a linearized version of group field theory. It can be viewed either as a group field theory over the additive group of a vector space or as an asymptotic expansion of any group field theory around the unit group element. We prove exact power counting theorems for any graph of such models. For linearized colored models the power counting of any amplitude is further computed in term of the homology of the graph. An exact power counting theorem is also established for a particular class of graphs of the nonlinearized models, which satisfy a planarity condition. Examples and connections with previous results are discussed.

11.69781

12.527804

14.533627

11.492962

13.836643

14.804826

12.618472

13.717385

11.8901

14.713206

11.355682

10.995462

12.438801

11.575472

11.741195

11.331553

10.948065

11.049527

10.731428

12.105819

10.933146

2208.14579

Qiang Jia

Qiang Jia, Piljin Yi

Holonomy Saddles and 5d BPS Quivers

22 figures

null

hep-th

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

We study the Seberg-Witten geometry of 5d ${\cal N}=1$ pure Yang-Mills theories compactified on a circle. The concept of the holonomy saddle implies that there are multiple 4d limits of interacting Seiberg-Witten theories from a single 5d theory, and we explore this in the simplest case of pure $SU(N)$ theories. The compactification leads to $N$ copies of locally indistinguishable 4d pure $SU(N)$ Seiberg-Witten theories in the infrared, glued together in a manner dictated by the Chern-Simons level. We show how this picture naturally builds the 5d BPS quivers which agree with the D0 probe dynamics previously proposed via the geometrically engineered local Calabi-Yau. We work out various $SU(2)$ and $SU(3)$ examples through a detailed look at the respective spectral curves. We also note a special $\mathbb{Z}_{2N}$ feature of $SU(N)_N$ spectral curves and the resulting BPS quivers, with emphasis on how the 4d holonomy saddles are affected.

[ { "created": "Wed, 31 Aug 2022 00:43:02 GMT", "version": "v1" } ]

2022-09-01

[ [ "Jia", "Qiang", "" ], [ "Yi", "Piljin", "" ] ]

We study the Seberg-Witten geometry of 5d ${\cal N}=1$ pure Yang-Mills theories compactified on a circle. The concept of the holonomy saddle implies that there are multiple 4d limits of interacting Seiberg-Witten theories from a single 5d theory, and we explore this in the simplest case of pure $SU(N)$ theories. The compactification leads to $N$ copies of locally indistinguishable 4d pure $SU(N)$ Seiberg-Witten theories in the infrared, glued together in a manner dictated by the Chern-Simons level. We show how this picture naturally builds the 5d BPS quivers which agree with the D0 probe dynamics previously proposed via the geometrically engineered local Calabi-Yau. We work out various $SU(2)$ and $SU(3)$ examples through a detailed look at the respective spectral curves. We also note a special $\mathbb{Z}_{2N}$ feature of $SU(N)_N$ spectral curves and the resulting BPS quivers, with emphasis on how the 4d holonomy saddles are affected.

10.341483

10.443348

11.662179

10.171748

10.79294

10.54616

10.717428

10.473838

10.418521

12.200219

10.379086

10.347544

10.675933

9.935949

10.250288

10.417964

10.005225

10.279986

10.189572

10.917914

10.063767

hep-th/9505045

Donam Youm

Mirjam Cveti\v{c} and Donam Youm (University of Pennsylvania)

Four-dimensional supersymmetric dyonic black holes in eleven-dimensional supergravity

23 pages, uses RevTeX

Nucl.Phys.B453:259-280,1995

10.1016/0550-3213(95)00437-W

UPR-685-T

hep-th gr-qc

null

A class of 4-dimensional supersymmetric dyonic black hole solutions that arise in an effective 11-dimensional supergravity compactified on a 7-torus is presented. We give the explicit form of dyonic solutions with diagonal internal metric, associated with the Kaluza-Klein sector as well as the three-form field, and relate them to a class of solutions with a general internal metric by imposing a subset of $SO(7)\subset E_7$ transformations. We also give the field transformations which relate the above configurations to 4-dimensional ground state configurations of Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz sector of type-IIA strings on a 6-torus.

[ { "created": "Mon, 8 May 1995 22:31:24 GMT", "version": "v1" } ]

2009-09-17

[ [ "Cvetič", "Mirjam", "", "University of Pennsylvania" ], [ "Youm", "Donam", "", "University of Pennsylvania" ] ]

A class of 4-dimensional supersymmetric dyonic black hole solutions that arise in an effective 11-dimensional supergravity compactified on a 7-torus is presented. We give the explicit form of dyonic solutions with diagonal internal metric, associated with the Kaluza-Klein sector as well as the three-form field, and relate them to a class of solutions with a general internal metric by imposing a subset of $SO(7)\subset E_7$ transformations. We also give the field transformations which relate the above configurations to 4-dimensional ground state configurations of Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz sector of type-IIA strings on a 6-torus.

7.75086

7.519506

8.049824

7.28752

7.167653

7.505863

7.487867

7.344522

7.003294

8.668414

7.282383

7.334198

7.25778

7.213195

7.336625

7.229332

7.107052

7.277847

7.251851

7.365007

6.953835

1811.06316

Ulf-G. Mei{\ss}ner

D. Djukanovic, J. Gegelia, Ulf-G. Mei{\ss}ner

Derivation of spontaneously broken gauge symmetry from the consistency of effective field theory II: Scalar field self-interactions and the electromagnetic interaction

11 pp, 3 figs

Phys. Lett. B 788 (2019) 436-441

10.1016/j.physletb.2018.11.044

null

hep-th hep-lat hep-ph nucl-th

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

We extend our study of deriving the local gauge invariance with spontaneous symmetry breaking in the context of an effective field theory by considering self-interactions of the scalar field and inclusion of the electromagnetic interaction. By analyzing renormalizability and the scale separation conditions of three-, four- and five-point vertex functions of the scalar field, we fix the two couplings of the scalar field self-interactions of the leading order Lagrangian. Next we add the electromagnetic interaction and derive conditions relating the magnetic moment of the charged vector boson to its charge and the masses of the charged and neutral massive vector bosons to each other and the two independent couplings of the theory. We obtain the bosonic part of the Lagrangian of the electroweak Standard Model as a unique solution to the conditions imposed by the self-consistency conditions of the considered effective field theory.

[ { "created": "Thu, 15 Nov 2018 12:32:49 GMT", "version": "v1" } ]

2018-12-05

[ [ "Djukanovic", "D.", "" ], [ "Gegelia", "J.", "" ], [ "Meißner", "Ulf-G.", "" ] ]

We extend our study of deriving the local gauge invariance with spontaneous symmetry breaking in the context of an effective field theory by considering self-interactions of the scalar field and inclusion of the electromagnetic interaction. By analyzing renormalizability and the scale separation conditions of three-, four- and five-point vertex functions of the scalar field, we fix the two couplings of the scalar field self-interactions of the leading order Lagrangian. Next we add the electromagnetic interaction and derive conditions relating the magnetic moment of the charged vector boson to its charge and the masses of the charged and neutral massive vector bosons to each other and the two independent couplings of the theory. We obtain the bosonic part of the Lagrangian of the electroweak Standard Model as a unique solution to the conditions imposed by the self-consistency conditions of the considered effective field theory.

8.379689

8.948493

8.197989

7.778661

8.622645

9.175195

8.478249

8.572761

7.980809

8.298476

8.039948

8.250257

8.368104

8.320066

8.026089

8.355415

8.200203

8.20092

8.264392

8.304011

8.185795

hep-th/9201058

V. P. Nair

R.Efraty and V.P.Nair

The Secret Chern-Simons Action for the Hot Gluon Plasma

(9 pages)

Phys.Rev.Lett. 68 (1992) 2891-2894

10.1103/PhysRevLett.68.2891

null

hep-th

null

We show that the generating functional for hard thermal loops with external gluons in QCD is essentially given by the eikonal for a Chern-Simons gauge theory. This action, determined essentially by gauge invariance arguments, also gives an efficient way of obtaining the hard thermal loop contributions without the more involved calculation of Feynman diagrams.

[ { "created": "Tue, 28 Jan 1992 17:58:12 GMT", "version": "v1" }, { "created": "Fri, 7 Feb 1992 22:38:44 GMT", "version": "v2" } ]

2009-10-22

[ [ "Efraty", "R.", "" ], [ "Nair", "V. P.", "" ] ]

We show that the generating functional for hard thermal loops with external gluons in QCD is essentially given by the eikonal for a Chern-Simons gauge theory. This action, determined essentially by gauge invariance arguments, also gives an efficient way of obtaining the hard thermal loop contributions without the more involved calculation of Feynman diagrams.

12.741023

8.106069

12.402432

10.454912

10.685406

10.718934

9.823468

9.335008

9.80055

13.279263

10.37027

11.369349

11.916692

11.432716

11.142842

11.310073

10.970721

10.780752

11.467072

12.017677

11.102755

1003.5040

Herbert Morales

Supersymmetry in the O(N) Gross-Neveu Models?

12 pages, no figures

null

hep-th

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

We study a special classical current in the O(3) Gross-Neveu model that becomes supersymmetric when quantum anomalies are included. Following its definition, we generalize the current for the general case, the O(N) Gross-Neveu models. We compute its algebra and discuss the possibility of supersymmetry can be established for these models.

[ { "created": "Fri, 26 Mar 2010 05:26:16 GMT", "version": "v1" } ]

2010-03-29

[ [ "Morales", "Herbert", "" ] ]

We study a special classical current in the O(3) Gross-Neveu model that becomes supersymmetric when quantum anomalies are included. Following its definition, we generalize the current for the general case, the O(N) Gross-Neveu models. We compute its algebra and discuss the possibility of supersymmetry can be established for these models.

14.470346

12.786361

12.594665

11.366365

13.225883

11.969044

12.193914

11.944505

11.966927

13.309789

12.044929

12.6926

13.360786

12.595304

12.728394

13.079291

13.022216

12.738903

13.07445

13.249032

12.590437

1910.01134

Meer Ashwinkumar

Meer Ashwinkumar, Meng-Chwan Tan

Unifying Lattice Models, Links and Quantum Geometric Langlands via Branes in String Theory

31 pages. Minor improvements, typos corrected, and reference added

Adv.Theor.Math.Phys.24: 1681-1721, 2020

10.4310/ATMP.2020.v24.n7.a1

null

hep-th cond-mat.stat-mech math.GT math.QA math.RT

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

We explain how, starting with a stack of D4-branes ending on an NS5-brane in type IIA string theory, one can, via T-duality and the topological-holomorphic nature of the relevant worldvolume theories, relate (i) the lattice models realized by Costello's 4d Chern-Simons theory, (ii) links in 3d analytically-continued Chern-Simons theory, (iii) the quantum geometric Langlands correspondence realized by Kapustin-Witten using 4d N = 4 gauge theory and its quantum group modification, and (iv) the Gaitsgory-Lurie conjecture relating quantum groups/affine Kac-Moody algebras to Whittaker D-modules/W-algebras. This furnishes, purely physically via branes in string theory, a novel bridge between the mathematics of integrable systems, geometric topology, geometric representation theory, and quantum algebras.

[ { "created": "Wed, 2 Oct 2019 18:00:05 GMT", "version": "v1" }, { "created": "Thu, 26 Mar 2020 12:47:20 GMT", "version": "v2" }, { "created": "Thu, 1 Oct 2020 17:57:28 GMT", "version": "v3" } ]

2022-09-20

[ [ "Ashwinkumar", "Meer", "" ], [ "Tan", "Meng-Chwan", "" ] ]

We explain how, starting with a stack of D4-branes ending on an NS5-brane in type IIA string theory, one can, via T-duality and the topological-holomorphic nature of the relevant worldvolume theories, relate (i) the lattice models realized by Costello's 4d Chern-Simons theory, (ii) links in 3d analytically-continued Chern-Simons theory, (iii) the quantum geometric Langlands correspondence realized by Kapustin-Witten using 4d N = 4 gauge theory and its quantum group modification, and (iv) the Gaitsgory-Lurie conjecture relating quantum groups/affine Kac-Moody algebras to Whittaker D-modules/W-algebras. This furnishes, purely physically via branes in string theory, a novel bridge between the mathematics of integrable systems, geometric topology, geometric representation theory, and quantum algebras.

7.753824

8.269088

10.880982

7.430516

8.561753

8.283406

7.55112

7.896613

7.667928

10.493864

7.51337

7.544972

7.98408

7.647158

7.683197

7.442996

7.531674

7.417345

7.59556

7.927378

7.41624

1711.06085

Xavier Calmet

S. O. Alexeyev, X. Calmet and B. N. Latosh

Gravity Induced Non-Local Effects in the Standard Model

null

Physics Letters B Volume 776, 2017

10.1016/j.physletb.2017.11.028

MITP/17-085

hep-th

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

We show that the non-locality recently identified in quantum gravity using resummation techniques propagates to the matter sector of the theory. We describe these non-local effects using effective field theory techniques. We derive the complete set of non-local effective operators at order $N G^2$ for theories involving scalar, spinor, and vector fields. We then use recent data from the Large Hadron Collider to set a bound on the scale of space-time non-locality and find $M_\star> 3 \times 10^{-11}$ GeV.

[ { "created": "Thu, 16 Nov 2017 13:48:01 GMT", "version": "v1" } ]

2017-11-28

[ [ "Alexeyev", "S. O.", "" ], [ "Calmet", "X.", "" ], [ "Latosh", "B. N.", "" ] ]

We show that the non-locality recently identified in quantum gravity using resummation techniques propagates to the matter sector of the theory. We describe these non-local effects using effective field theory techniques. We derive the complete set of non-local effective operators at order $N G^2$ for theories involving scalar, spinor, and vector fields. We then use recent data from the Large Hadron Collider to set a bound on the scale of space-time non-locality and find $M_\star> 3 \times 10^{-11}$ GeV.

8.087696

7.1754

7.455375

7.352284

7.24712

7.643335

7.462712

6.817654

7.481054

8.56316

7.439057

7.345494

7.422323

7.398515

7.656219

7.536109

7.633479

7.431162

7.426851

7.663847

7.354131

hep-th/9810022

Dirk Kreimer

On Overlapping Divergences

25p, latex, epsf for figures, final version, to appear in Comm.Math.Phys

Commun.Math.Phys. 204 (1999) 669

10.1007/s002200050661

MZ-TH/98-35

hep-th math.QA

null

Using set-theoretic considerations, we show that the forest formula for overlapping divergences comes from the Hopf algebra of rooted trees.

[ { "created": "Sat, 3 Oct 1998 14:48:31 GMT", "version": "v1" }, { "created": "Wed, 14 Oct 1998 11:40:00 GMT", "version": "v2" }, { "created": "Mon, 1 Feb 1999 13:40:42 GMT", "version": "v3" }, { "created": "Fri, 12 Feb 1999 14:27:05 GMT", "version": "v4" } ]

2009-10-31

[ [ "Kreimer", "Dirk", "" ] ]

Using set-theoretic considerations, we show that the forest formula for overlapping divergences comes from the Hopf algebra of rooted trees.

28.844427

10.070044

16.493689

11.209321

10.513457

13.405807

12.18157

12.223313

11.972729

15.307382

15.50633

10.886944

14.5195

12.021073

12.43132

12.012902

11.249553

13.231346

11.864538

14.540694

13.606628

hep-th/9611038

Marco D'Attanasio

Marco D'Attanasio and Massimo Pietroni

Gauge-Invariant Renormalization Group at Finite Temperature

23 pages, latex2e, 1 EPS figure. The discussions of BRS identities and of the RG kernel have been modified. Final version, to appear on Nucl. Phys. B

Nucl.Phys. B498 (1997) 443-466

10.1016/S0550-3213(97)00292-7

CERN-TH/96-317, SHEP 96-31

hep-th hep-ph

null

We propose a gauge-invariant version of Wilson Renormalization Group for thermal field theories in real time. The application to the computation of the thermal masses of the gauge bosons in an SU(N) Yang-Mills theory is discussed.

[ { "created": "Wed, 6 Nov 1996 18:38:34 GMT", "version": "v1" }, { "created": "Mon, 5 May 1997 13:39:04 GMT", "version": "v2" } ]

2009-10-30

[ [ "D'Attanasio", "Marco", "" ], [ "Pietroni", "Massimo", "" ] ]

We propose a gauge-invariant version of Wilson Renormalization Group for thermal field theories in real time. The application to the computation of the thermal masses of the gauge bosons in an SU(N) Yang-Mills theory is discussed.

8.326476

6.593584

6.523015

6.837886

7.329134

7.510058

7.159701

7.21497

6.409089

7.065853

6.889623

6.992209

7.016835

6.954721

7.41929

7.3109

7.129784

7.256876

7.111666

7.123039

7.124605

hep-th/9411202

null

Glenn Barnich, Friedemann Brandt and Marc Henneaux

Conserved currents and gauge invariance in Yang-Mills theory

12 pages, latex, no figures, version to appear in Phys. Lett. B

Phys. Lett. B346 (1995) 81-86

10.1016/0370-2693(95)00011-9

ULB-TH-94/18, NIKHEF-H-94-34, KUL-TF-94-37

hep-th

null

It is shown that in the absence of free abelian gauge fields, the conserved currents of (classical) Yang-Mills gauge models coupled to matter fields can be always redefined so as to be gauge invariant. This is a direct consequence of the general analysis of the Wess-Zumino consistency condition for Yang-Mills theory that we have provided recently.

[ { "created": "Mon, 28 Nov 1994 15:19:03 GMT", "version": "v1" }, { "created": "Fri, 27 Jan 1995 09:29:56 GMT", "version": "v2" } ]

2009-10-28

[ [ "Barnich", "Glenn", "" ], [ "Brandt", "Friedemann", "" ], [ "Henneaux", "Marc", "" ] ]

It is shown that in the absence of free abelian gauge fields, the conserved currents of (classical) Yang-Mills gauge models coupled to matter fields can be always redefined so as to be gauge invariant. This is a direct consequence of the general analysis of the Wess-Zumino consistency condition for Yang-Mills theory that we have provided recently.

9.669397

7.553965

8.019934

7.416485

7.709112

7.969799

8.437786

7.056338

7.808784

8.938559

7.531292

7.576955

7.772686

7.592801

7.912434

7.547898

7.740859

7.546698

7.748064

7.80835

7.474042

hep-th/0208027

Urjit A. Yajnik

Narendra Sahu and Urjit A. Yajnik

Fractionally charged extended objects and superselection rules

This submission is now superceded by a thoroughly revised version with changed title, as hep-th/0405140 and published as Phys.Lett. B596 (2004) 1-7

null

hep-th

null

Topological objects resulting from symmetry breakdown may be either stable or metastable depending on the pattern of symmetry breaking. However, if they trap zero-energy modes of fermions, and in the process acquire non-integer fermionic charge, the metastable configurations also get stabilized. In the case of Dirac fermions the spectrum of the number operator shifts by 1/2. In the case of majorana fermions it becomes useful to assign negative values of fermion number to a finite number of states occupying the zero-energy level, constituting a \textit{majorana pond}. We determine the parities of these states and prove a superselection rule. Thus decay of objects with half-integer fermion number is not possible in isolation or by scattering with ordinary particles. The result has important bearing on cosmology as well as condensed matter physics.

[ { "created": "Sat, 3 Aug 2002 13:27:00 GMT", "version": "v1" }, { "created": "Wed, 8 Oct 2003 07:30:34 GMT", "version": "v2" }, { "created": "Mon, 9 Aug 2004 11:17:04 GMT", "version": "v3" } ]

2007-05-23

[ [ "Sahu", "Narendra", "" ], [ "Yajnik", "Urjit A.", "" ] ]

Topological objects resulting from symmetry breakdown may be either stable or metastable depending on the pattern of symmetry breaking. However, if they trap zero-energy modes of fermions, and in the process acquire non-integer fermionic charge, the metastable configurations also get stabilized. In the case of Dirac fermions the spectrum of the number operator shifts by 1/2. In the case of majorana fermions it becomes useful to assign negative values of fermion number to a finite number of states occupying the zero-energy level, constituting a \textit{majorana pond}. We determine the parities of these states and prove a superselection rule. Thus decay of objects with half-integer fermion number is not possible in isolation or by scattering with ordinary particles. The result has important bearing on cosmology as well as condensed matter physics.

14.76932

13.889485

12.777769

12.859908

14.870232

13.959129

14.183807

13.692449

13.799684

14.491759

13.508285

13.173909

12.885837

13.225445

13.401465

13.124683

13.05998

12.908253

12.759434

13.072535

12.957372

1909.13878

Paulo Carvalho

P. R. S. Carvalho, M. I. Sena-Junior

Exact Lorentz-violating $q$-deformed O($N$) universality class

13 pages, 15 figures

Int. J. Mod. Phys. D 28, 1950050 (2019)

10.1142/S0218271819500500

null

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

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

We examine the influence of exact Lorentz-violating symmetry mechanism on the radiative quantum corrections to the critical exponents for massless $q$-deformed O($N$) $\lambda\phi^{4}$ scalar field theories. For that, we employ three different and independent field-theoretic renormalization group methods for computing analytically the $q$-deformed critical exponents up to next-to-leading order. Then we generalize the former finite loop level results for any loop order. We show that the Lorentz-violating $q$-deformed critical exponents, obtained through the three methods, turn out to be identical and furthermore the same as their Lorentz-invariant $q$-deformed ones. We argue that this result is in accordance with the universality hypothesis.

[ { "created": "Mon, 30 Sep 2019 17:59:05 GMT", "version": "v1" } ]

2019-10-03

[ [ "Carvalho", "P. R. S.", "" ], [ "Sena-Junior", "M. I.", "" ] ]

We examine the influence of exact Lorentz-violating symmetry mechanism on the radiative quantum corrections to the critical exponents for massless $q$-deformed O($N$) $\lambda\phi^{4}$ scalar field theories. For that, we employ three different and independent field-theoretic renormalization group methods for computing analytically the $q$-deformed critical exponents up to next-to-leading order. Then we generalize the former finite loop level results for any loop order. We show that the Lorentz-violating $q$-deformed critical exponents, obtained through the three methods, turn out to be identical and furthermore the same as their Lorentz-invariant $q$-deformed ones. We argue that this result is in accordance with the universality hypothesis.

8.045005

5.971916

8.062132

6.869531

6.483711

6.52975

6.51903

6.464923

6.706753

8.039354

6.572741

7.275492

7.571065

7.291958

7.220094

7.256717

7.352448

7.259437

7.623159

7.638975

7.244547

hep-th/9910262

Satoshi Iso

Hajime Aoki, Satoshi Iso, Hikaru Kawai and Yoshihisa Kitazawa

Scaling Behaviors of Branched Polymers

17 pages, 3 figures

Phys.Rev. E62 (2000) 6260-6269

10.1103/PhysRevE.62.6260

null

hep-th cond-mat hep-lat

null

We study the thermodynamic behavior of branched polymers. We first study random walks in order to clarify the thermodynamic relation between the canonical ensemble and the grand canonical ensemble. We then show that correlation functions for branched polymers are given by those for $\phi^3$ theory with a single mass insertion, not those for the $\phi^3$ theory themselves. In particular, the two-point function behaves as $1/p^4$, not as $1/p^2$, in the scaling region. This behavior is consistent with the fact that the Hausdorff dimension of the branched polymer is four.

[ { "created": "Mon, 1 Nov 1999 09:19:57 GMT", "version": "v1" } ]

2009-10-31

[ [ "Aoki", "Hajime", "" ], [ "Iso", "Satoshi", "" ], [ "Kawai", "Hikaru", "" ], [ "Kitazawa", "Yoshihisa", "" ] ]

We study the thermodynamic behavior of branched polymers. We first study random walks in order to clarify the thermodynamic relation between the canonical ensemble and the grand canonical ensemble. We then show that correlation functions for branched polymers are given by those for $\phi^3$ theory with a single mass insertion, not those for the $\phi^3$ theory themselves. In particular, the two-point function behaves as $1/p^4$, not as $1/p^2$, in the scaling region. This behavior is consistent with the fact that the Hausdorff dimension of the branched polymer is four.

6.019

5.85377

6.398803

5.910127

6.478141

6.381579

6.180718

6.017688

5.75138

6.589238

5.890402

5.891389

6.050111

5.917042

5.843975

5.829786

5.847412

5.907038

6.007508

6.20743

5.713541

1905.05657

Gabriele Travaglini

Andreas Brandhuber, Gabriele Travaglini

On higher-derivative effects on the gravitational potential and particle bending

23 pages, 4 figures. v2: typos corrected, one reference added, several comments and clarifications added in Section 2. v3: JHEP version. v4: typos corrected

null

10.1007/JHEP01(2020)010

QMUL-PH-19-09, SAGEX-19-05

hep-th gr-qc

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

Using modern amplitude techniques we compute the leading classical and quantum corrections to the classical gravitational potential between two massive scalars induced by adding an $R^3$ term to Einstein gravity. We then study the scattering of massless scalars, photons and gravitons off a heavy scalar in the presence of the same $R^3$ deformation, and determine the bending angle in the three cases from the non-analytic component of the scattering amplitude. Similarly to the Einstein-Hilbert case, we find that the classical contribution to the bending angle is universal, but unlike that case, universality is preserved also by the first quantum correction. Finally we extend our analysis to include a deformation of the form $\Phi R^2$, where $\Phi$ is the dilaton, which arises in the low-energy effective action of the bosonic string in addition to the $R^3$ term, and compute its effect on the graviton bending.

[ { "created": "Tue, 14 May 2019 15:02:12 GMT", "version": "v1" }, { "created": "Mon, 17 Jun 2019 16:52:20 GMT", "version": "v2" }, { "created": "Wed, 18 Dec 2019 16:39:21 GMT", "version": "v3" }, { "created": "Mon, 10 Aug 2020 15:18:22 GMT", "version": "v4" } ]

2020-08-11

[ [ "Brandhuber", "Andreas", "" ], [ "Travaglini", "Gabriele", "" ] ]

Using modern amplitude techniques we compute the leading classical and quantum corrections to the classical gravitational potential between two massive scalars induced by adding an $R^3$ term to Einstein gravity. We then study the scattering of massless scalars, photons and gravitons off a heavy scalar in the presence of the same $R^3$ deformation, and determine the bending angle in the three cases from the non-analytic component of the scattering amplitude. Similarly to the Einstein-Hilbert case, we find that the classical contribution to the bending angle is universal, but unlike that case, universality is preserved also by the first quantum correction. Finally we extend our analysis to include a deformation of the form $\Phi R^2$, where $\Phi$ is the dilaton, which arises in the low-energy effective action of the bosonic string in addition to the $R^3$ term, and compute its effect on the graviton bending.

7.020115

6.225819

6.421121

6.042787

6.168627

6.303102

6.170951

5.918972

6.02026

7.202161

5.952377

5.962298

6.560729

6.107136

6.070569

6.140421

6.065583

5.973758

6.120801

6.269866

5.902583

hep-th/9405157

Cho Jin-Ho

Jin-Ho Cho and Jae-Kwan Kim

Derivation of the Classical Lagrangian for the Relativistic Spinning Particle

8 pages, LaTeX

Phys.Lett. B332 (1994) 118-122

10.1016/0370-2693(94)90867-2

null

hep-th

null

The `classical' model for a massive spinning particle, which was recently proposed, is derived from the isotropic rotator model. Through this derivation, we note that the spin can be understood as the relativistic extension of the isotropic rotator. Furthermore, the variables $t_\m$ corresponding to the $\p^*$ of the `pseudo-classical' model, are necessary for the covariant formulation. The dynamical term for these extra variables is naturally obtained and the meaning of the constraint term $p^\s\L_{\s\n}+mt_\n =0$, which was recently shown to give `quasi-supersymmetry', is clarified.

[ { "created": "Wed, 25 May 1994 04:44:46 GMT", "version": "v1" } ]

2009-10-28

[ [ "Cho", "Jin-Ho", "" ], [ "Kim", "Jae-Kwan", "" ] ]

The `classical' model for a massive spinning particle, which was recently proposed, is derived from the isotropic rotator model. Through this derivation, we note that the spin can be understood as the relativistic extension of the isotropic rotator. Furthermore, the variables $t_\m$ corresponding to the $\p^*$ of the `pseudo-classical' model, are necessary for the covariant formulation. The dynamical term for these extra variables is naturally obtained and the meaning of the constraint term $p^\s\L_{\s\n}+mt_\n =0$, which was recently shown to give `quasi-supersymmetry', is clarified.

18.726528

16.399828

18.215532

16.445595

18.252014

16.247581

17.859507

16.072618

15.108935

18.073751

15.127183

16.19154

17.307854

16.595598

16.130335

16.250242

16.51289

16.913427

16.304661

17.49943

16.513729

hep-th/0601233

Takashi Maeda

Takashi Maeda, Toshio Nakatsu

Amoebas and Instantons

58 pages, 28 figures, references added

Int.J.Mod.Phys.A22:937-984,2007

10.1142/S0217751X07034970

OU-HET 554

hep-th math.AG

null

We study a statistical model of random plane partitions. The statistical model has interpretations as five-dimensional $\mathcal{N}=1$ supersymmetric SU(N) Yang-Mills on $\mathbb{R}^4\times S^1$ and as K\"ahler gravity on local SU(N) geometry. At the thermodynamic limit a typical plane partition called the limit shape dominates in the statistical model. The limit shape is linked with a hyperelliptic curve, which is a five-dimensional version of the SU(N) Seiberg-Witten curve. Amoebas and the Ronkin functions play intermediary roles between the limit shape and the hyperelliptic curve. In particular, the Ronkin function realizes an integration of thermodynamical density of the main diagonal partitions, along one-dimensional slice of it and thereby is interpreted as the counting function of gauge instantons. The radius of $S^1$ can be identified with the inverse temperature of the statistical model. The large radius limit of the five-dimensional Yang-Mills is the low temperature limit of the statistical model, where the statistical model is frozen to a ground state that is associated with the local SU(N) geometry. We also show that the low temperature limit corresponds to a certain degeneration of amoebas and the Ronkin functions known as tropical geometry.

[ { "created": "Tue, 31 Jan 2006 11:58:16 GMT", "version": "v1" }, { "created": "Mon, 27 Feb 2006 03:03:25 GMT", "version": "v2" } ]

2008-11-26

[ [ "Maeda", "Takashi", "" ], [ "Nakatsu", "Toshio", "" ] ]

We study a statistical model of random plane partitions. The statistical model has interpretations as five-dimensional $\mathcal{N}=1$ supersymmetric SU(N) Yang-Mills on $\mathbb{R}^4\times S^1$ and as K\"ahler gravity on local SU(N) geometry. At the thermodynamic limit a typical plane partition called the limit shape dominates in the statistical model. The limit shape is linked with a hyperelliptic curve, which is a five-dimensional version of the SU(N) Seiberg-Witten curve. Amoebas and the Ronkin functions play intermediary roles between the limit shape and the hyperelliptic curve. In particular, the Ronkin function realizes an integration of thermodynamical density of the main diagonal partitions, along one-dimensional slice of it and thereby is interpreted as the counting function of gauge instantons. The radius of $S^1$ can be identified with the inverse temperature of the statistical model. The large radius limit of the five-dimensional Yang-Mills is the low temperature limit of the statistical model, where the statistical model is frozen to a ground state that is associated with the local SU(N) geometry. We also show that the low temperature limit corresponds to a certain degeneration of amoebas and the Ronkin functions known as tropical geometry.

8.659945

8.588383

9.754796

8.472257

8.949136

8.924077

9.284314

9.159248

8.387525

11.82989

8.15885

8.215756

8.908689

8.615723

8.320638

8.434341

8.38621

8.464759

8.228478

9.049378

8.325498

1611.07240

Sofian Teber

A. V. Kotikov and S. Teber

New results for a two-loop massless propagator-type Feynman diagram

14 pages, 5 figures (v2) 2 references added

Teor. Mat. Fiz. 194 (2018) no.2, 331

10.4213/tmf9340

null

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

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

We consider the two-loop massless propagator-type Feynman diagram with an arbitrary (non-integer) index on the central line. We analytically prove the equality of the two well-known results existing in the literature which express this diagram in terms of ${}_3F_2$-hypergeometric functions of argument $-1$ and $1$, respectively. We also derive new representations for this diagram which may be of importance in practical calculations.

[ { "created": "Tue, 22 Nov 2016 10:37:04 GMT", "version": "v1" }, { "created": "Tue, 17 Jan 2017 15:16:39 GMT", "version": "v2" } ]

2018-04-26

[ [ "Kotikov", "A. V.", "" ], [ "Teber", "S.", "" ] ]

We consider the two-loop massless propagator-type Feynman diagram with an arbitrary (non-integer) index on the central line. We analytically prove the equality of the two well-known results existing in the literature which express this diagram in terms of ${}_3F_2$-hypergeometric functions of argument $-1$ and $1$, respectively. We also derive new representations for this diagram which may be of importance in practical calculations.

6.176794

5.831779

6.235075

5.874379

5.798525

6.140714

5.90352

6.297215

5.739573

6.641068

5.952137

6.182517

6.19632

6.00614

5.991447

6.347343

6.238937

6.20543

5.929316

5.969055

5.705881

1004.0621

Florian Girelli

Florian Girelli, Etera R. Livine

Scalar field theory in Snyder space-time: alternatives

24 pages.

JHEP 1103:132,2011

10.1007/JHEP03(2011)132

null

hep-th gr-qc

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

We construct two types of scalar field theory on Snyder space-time. The first one is based on the natural momenta addition inherent to the coset momentum space. This construction uncovers a non-associative deformation of the Poincar\'e symmetries. The second one considers Snyder space-time as a subspace of a larger non-commutative space. We discuss different possibilities to restrict the extra-dimensional scalar field theory to a theory living only on Sndyer space-time and present the consequences of these restrictions on the Poincar\'e symmetries. We show moreover how the non-associative approach and the Doplicher-Fredenhagen-Roberts space can be seen as specific approximations of the extra-dimensional theory. These results are obtained for the 3d Euclidian Snyder space-time constructed from $\SO(3,1)/\SO(3)$, but our results extend to any dimension and signature.

[ { "created": "Mon, 5 Apr 2010 12:34:28 GMT", "version": "v1" } ]

2011-03-31

[ [ "Girelli", "Florian", "" ], [ "Livine", "Etera R.", "" ] ]

We construct two types of scalar field theory on Snyder space-time. The first one is based on the natural momenta addition inherent to the coset momentum space. This construction uncovers a non-associative deformation of the Poincar\'e symmetries. The second one considers Snyder space-time as a subspace of a larger non-commutative space. We discuss different possibilities to restrict the extra-dimensional scalar field theory to a theory living only on Sndyer space-time and present the consequences of these restrictions on the Poincar\'e symmetries. We show moreover how the non-associative approach and the Doplicher-Fredenhagen-Roberts space can be seen as specific approximations of the extra-dimensional theory. These results are obtained for the 3d Euclidian Snyder space-time constructed from $\SO(3,1)/\SO(3)$, but our results extend to any dimension and signature.

9.002228

8.821463

10.103672

8.48189

9.42803

9.191838

9.700979

8.770797

8.82949

10.194296

9.011857

8.989516

9.047685

8.872748

8.754742

9.168304

9.141806

8.854853

8.873827

9.001026

8.776441

1709.06844

Hao Ouyang

Semiclassical spectrum for BMN string in $Sch_5\times S^5$

16 pages. v2:typos corrected, 1 reference added. v3:typos corrected

JHEP 1712 (2017) 126

10.1007/JHEP12(2017)126

null

hep-th

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

We investigate the algebraic curve for string in $Sch_5\times S^5$. We compute the semiclassical spectrum for BMN string in $Sch_5\times S^5$ from the algebraic curve. We compare our results with the anomalous dimensions in $sl(2)$ sector of the null dipole deformation of $\mathcal{N} = 4$ super Yang-Mills theory.

[ { "created": "Wed, 20 Sep 2017 13:05:47 GMT", "version": "v1" }, { "created": "Thu, 28 Sep 2017 09:01:01 GMT", "version": "v2" }, { "created": "Sun, 31 Dec 2017 12:16:21 GMT", "version": "v3" } ]

2018-01-03

[ [ "Ouyang", "Hao", "" ] ]

We investigate the algebraic curve for string in $Sch_5\times S^5$. We compute the semiclassical spectrum for BMN string in $Sch_5\times S^5$ from the algebraic curve. We compare our results with the anomalous dimensions in $sl(2)$ sector of the null dipole deformation of $\mathcal{N} = 4$ super Yang-Mills theory.

7.356983

5.567063

8.411631

5.546422

5.892538

5.237394

5.400954

6.053148

5.21853

8.387919

5.24756

5.877884

7.380175

6.001507

6.038474

5.706151

5.713358

5.687696

5.869321

7.157408

5.672439

1601.07558

Grant Remmen

Sean M. Carroll, Grant N. Remmen

What is the Entropy in Entropic Gravity?

25 pages, 4 figures

Phys. Rev. D 93, 124052 (2016)

10.1103/PhysRevD.93.124052

CALT-TH-2015-038

hep-th gr-qc

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

We investigate theories in which gravity arises as a consequence of entropy. We distinguish between two approaches to this idea: holographic gravity, in which Einstein's equation arises from keeping entropy stationary in equilibrium under variations of the geometry and quantum state of a small region, and thermodynamic gravity, in which Einstein's equation emerges as a local equation of state from constraints on the area of a dynamical lightsheet in a fixed spacetime background. Examining holographic gravity, we argue that its underlying assumptions can be justified in part using recent results on the form of the modular energy in quantum field theory. For thermodynamic gravity, on the other hand, we find that it is difficult to formulate a self-consistent definition of the entropy, which represents an obstacle for this approach. This investigation points the way forward in understanding the connections between gravity and entanglement.

[ { "created": "Wed, 27 Jan 2016 21:00:11 GMT", "version": "v1" }, { "created": "Wed, 23 Mar 2016 15:13:06 GMT", "version": "v2" }, { "created": "Wed, 22 Jun 2016 14:10:55 GMT", "version": "v3" } ]

2016-06-23

[ [ "Carroll", "Sean M.", "" ], [ "Remmen", "Grant N.", "" ] ]

We investigate theories in which gravity arises as a consequence of entropy. We distinguish between two approaches to this idea: holographic gravity, in which Einstein's equation arises from keeping entropy stationary in equilibrium under variations of the geometry and quantum state of a small region, and thermodynamic gravity, in which Einstein's equation emerges as a local equation of state from constraints on the area of a dynamical lightsheet in a fixed spacetime background. Examining holographic gravity, we argue that its underlying assumptions can be justified in part using recent results on the form of the modular energy in quantum field theory. For thermodynamic gravity, on the other hand, we find that it is difficult to formulate a self-consistent definition of the entropy, which represents an obstacle for this approach. This investigation points the way forward in understanding the connections between gravity and entanglement.

8.682502

9.047368

8.598203

8.704836

9.781387

9.43678

9.90835

9.051422

9.286738

9.801651

9.409607

9.402173

8.704128

8.547507

8.992372

9.043443

8.839526

9.067312

8.84331

8.685411

8.935415

hep-th/0411118

Alon Faraggi

Alon E. Faraggi

Self-duality and vacuum selection

40 pages. Standard Latex. 1 figure

null

10.1142/S0217751X04021068

OUTP-04-21P

hep-th hep-ph

null

I propose that self-duality in quantum phase-space provides the criteria for the selection of the quantum gravity vacuum. The evidence for this assertion arises from two independent considerations. The first is the phenomenological success of the free fermionic heterotic-string models, which are constructed in the vicinity of the self-dual point under T-duality. The relation between the free fermionic models and the underlying Z2 X Z2 toroidal orbifolds is discussed. Recent analysis revealed that the Z2 X Z2 free fermionic orbifolds utilize an asymmetric shift in the reduction to three generations, which indicates that the untwisted geometrical moduli are fixed near the self-dual point. The second consideration arises from the recent formulation of quantum mechanics from an equivalence postulate and its relation to phase-space duality. In this context it is demonstrated that the trivial state, with V(q)=E=0, is identified with the self-dual state under phase-space duality. These observations suggest a more general mathematical principle in operation. In physical systems that exhibit a duality structure, the self-dual states under the given duality transformations correspond to critical points.

[ { "created": "Thu, 11 Nov 2004 16:06:30 GMT", "version": "v1" } ]

2009-11-10

[ [ "Faraggi", "Alon E.", "" ] ]

I propose that self-duality in quantum phase-space provides the criteria for the selection of the quantum gravity vacuum. The evidence for this assertion arises from two independent considerations. The first is the phenomenological success of the free fermionic heterotic-string models, which are constructed in the vicinity of the self-dual point under T-duality. The relation between the free fermionic models and the underlying Z2 X Z2 toroidal orbifolds is discussed. Recent analysis revealed that the Z2 X Z2 free fermionic orbifolds utilize an asymmetric shift in the reduction to three generations, which indicates that the untwisted geometrical moduli are fixed near the self-dual point. The second consideration arises from the recent formulation of quantum mechanics from an equivalence postulate and its relation to phase-space duality. In this context it is demonstrated that the trivial state, with V(q)=E=0, is identified with the self-dual state under phase-space duality. These observations suggest a more general mathematical principle in operation. In physical systems that exhibit a duality structure, the self-dual states under the given duality transformations correspond to critical points.

11.932536

11.177488

12.290742

10.856342

11.639987

10.53126

10.869729

10.511959

10.966399

14.116961

10.805874

11.588223

11.719707

11.534657

11.572428

11.562267

11.396113

11.394899

11.433865

12.230797

11.720468

1110.4559

Hongbao Zhang

Wei-Jia Li and Hongbao Zhang

Holographic non-relativistic fermionic fixed point and bulk dipole coupling

JHEP style, 1+17 pages, 9 figures, 1 table, typos corrected, references added, version to appear in JHEP

JHEP1111, 018(2011)

10.1007/JHEP11(2011)018

CCTP-2011-34

hep-th cond-mat.str-el gr-qc

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

Inspired by the recently discovered non-relativistic fermionic fixed points, we investigate how the presence of bulk dipole coupling modifies the spectral function at one of these novel fixed points. As a result, although the infinite flat band is always visible in the presence of the bulk dipole coupling as well as chemical potential, the band is modified in a remarkable way at small momenta up to the order of magnitude of bulk dipole coupling. On the other hand, like a phoenix, a new Fermi surface sprouts from the formed gap when the bulk dipole coupling is pushed up further such as to overshadow the charge parameter, which is obviously different from what is found at the relativistic fixed points.

[ { "created": "Thu, 20 Oct 2011 15:55:01 GMT", "version": "v1" }, { "created": "Wed, 26 Oct 2011 13:37:53 GMT", "version": "v2" }, { "created": "Mon, 7 Nov 2011 17:04:04 GMT", "version": "v3" } ]

2015-03-19

[ [ "Li", "Wei-Jia", "" ], [ "Zhang", "Hongbao", "" ] ]

Inspired by the recently discovered non-relativistic fermionic fixed points, we investigate how the presence of bulk dipole coupling modifies the spectral function at one of these novel fixed points. As a result, although the infinite flat band is always visible in the presence of the bulk dipole coupling as well as chemical potential, the band is modified in a remarkable way at small momenta up to the order of magnitude of bulk dipole coupling. On the other hand, like a phoenix, a new Fermi surface sprouts from the formed gap when the bulk dipole coupling is pushed up further such as to overshadow the charge parameter, which is obviously different from what is found at the relativistic fixed points.

16.523867

15.723089

17.969185

14.739328

15.480867

17.017731

16.354815

15.767224

15.643859

18.26347

15.078854

15.788772

16.585581

15.470674

14.952087

15.54783

15.166178

15.664001

15.186647

15.804357

16.429947

hep-th/0603202

Martin Kruczenski

Planar diagrams in light-cone gauge

42 pages, 7 figures, LaTeX. v2: references added. v3: typos and minor corrections. Small change of conventions in fermionic sector

JHEP 0610:085,2006

10.1088/1126-6708/2006/10/085

null

hep-th

null

We consider the open string vacuum amplitude determining the interaction between a stack of N D3-branes and a single probe brane. When using light cone gauge, it is clear that the sum of planar diagrams (relevant in the large-N limit) is described by the free propagation of a closed string. A naive calculation suggests that the Hamiltonian of the closed string is of the form H = H0 - (g_s N) P. The same form of the Hamiltonian follows from considering the bosonic part of the closed string action propagating in the full D3-brane background suggesting the naive calculation captures the correct information. Further, we compute explicitly P from the open string side in the bosonic sector and show that, in a certain limit, the result agrees with the closed string expectations up to extra terms due to the fact that we ignored the fermionic sector. We briefly discuss extensions of the results to the superstring and to the sum of planar diagrams in field theory. In particular we argue that the calculations seem valid whenever one can define a sigma <-> tau dual Hamiltonian in the world-sheet which in principle does not require the existence of a string action. This seems more generic than the existence of a string dual in the large-N limit.

[ { "created": "Mon, 27 Mar 2006 18:45:19 GMT", "version": "v1" }, { "created": "Tue, 22 Aug 2006 18:08:47 GMT", "version": "v2" }, { "created": "Fri, 20 Oct 2006 20:33:42 GMT", "version": "v3" } ]

2010-02-03

[ [ "Kruczenski", "Martin", "" ] ]

We consider the open string vacuum amplitude determining the interaction between a stack of N D3-branes and a single probe brane. When using light cone gauge, it is clear that the sum of planar diagrams (relevant in the large-N limit) is described by the free propagation of a closed string. A naive calculation suggests that the Hamiltonian of the closed string is of the form H = H0 - (g_s N) P. The same form of the Hamiltonian follows from considering the bosonic part of the closed string action propagating in the full D3-brane background suggesting the naive calculation captures the correct information. Further, we compute explicitly P from the open string side in the bosonic sector and show that, in a certain limit, the result agrees with the closed string expectations up to extra terms due to the fact that we ignored the fermionic sector. We briefly discuss extensions of the results to the superstring and to the sum of planar diagrams in field theory. In particular we argue that the calculations seem valid whenever one can define a sigma <-> tau dual Hamiltonian in the world-sheet which in principle does not require the existence of a string action. This seems more generic than the existence of a string dual in the large-N limit.

11.515472

11.291553

12.141725

11.259535

11.638299

11.81253

12.432989

11.32162

11.121816

12.801637

11.53889

11.283466

11.466049

11.294757

11.346562

11.388666

11.393256

11.477671

11.065931

11.695035

11.000412

hep-th/0206023

Nikolai Sushilov

S. I. Kruglov

Trace Anomaly and Quantization of Maxwell's Theory on Non-Commutative Spaces

9 pages, LaTeX. Talk given at 24th Annual MRST (Montreal-Rochester-Syracuse-Toronto) Conference on High-Energy Physics (MRST 2002), Perimeter Institute for Theoretical Physics-Waterloo, Ontario, Canada, 15-17 May 2002)

AIP Conf.Proc. 646 (2003) 99-104

10.1063/1.1524558

null

hep-th

null

The canonical and symmetrical energy-momentum tensors and their non-zero traces in Maxwell's theory on non-commutative spaces have been found. Dirac's quantization of the theory under consideration has been performed. I have found the extended Hamiltonian and equations of motion in the general gauge covariant form.

[ { "created": "Tue, 4 Jun 2002 01:26:45 GMT", "version": "v1" } ]

2009-11-07

[ [ "Kruglov", "S. I.", "" ] ]

The canonical and symmetrical energy-momentum tensors and their non-zero traces in Maxwell's theory on non-commutative spaces have been found. Dirac's quantization of the theory under consideration has been performed. I have found the extended Hamiltonian and equations of motion in the general gauge covariant form.

17.624296

13.844116

15.146795

13.775287

14.015822

14.92899

14.334641

13.779044

13.565993

19.055777

14.371903

15.881301

15.436122

15.360135

15.449203

16.119678

15.511407

15.07315

14.93421

15.038018

15.439829

2205.13332

M Herrero-Valea

M. Herrero-Valea, A. S. Koshelev, A. Tokareva

UV graviton scattering and positivity bounds from IR dispersion relations

20 pages, 2 figures

null

10.1103/PhysRevD.106.105002

Imperial/TP/2022/AAT/1

hep-th gr-qc

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

Scattering amplitudes mediated by graviton exchange display IR singularities in the forward limit. This obstructs standard application of positivity bounds based on twice subtracted dispersion relations. Such divergences can be cancelled only if the UV limit of the scattering amplitude behaves in a specific way, which implies a very non-trivial connection between the UV and IR behaviors of the amplitude. We show that this relation can be expressed in terms of an integral transform, obtaining analytic results when $t \log{s}\rightarrow 0$. Carefully applying this limit to dispersion relations, we find that infinite arc integrals, which are usually taken to vanish, can give a non-trivial contribution in the presence of gravity, unlike in the case of finite negative $t$. This implies that gravitational positivity bounds cannot be trusted unless the size of this contribution is estimated in some way, which implies assumptions on the UV completion of gravitational interactions. We discuss the relevance of these findings in the particular case of QED coupled to gravity.

[ { "created": "Thu, 26 May 2022 13:09:50 GMT", "version": "v1" } ]

2022-11-23

[ [ "Herrero-Valea", "M.", "" ], [ "Koshelev", "A. S.", "" ], [ "Tokareva", "A.", "" ] ]

Scattering amplitudes mediated by graviton exchange display IR singularities in the forward limit. This obstructs standard application of positivity bounds based on twice subtracted dispersion relations. Such divergences can be cancelled only if the UV limit of the scattering amplitude behaves in a specific way, which implies a very non-trivial connection between the UV and IR behaviors of the amplitude. We show that this relation can be expressed in terms of an integral transform, obtaining analytic results when $t \log{s}\rightarrow 0$. Carefully applying this limit to dispersion relations, we find that infinite arc integrals, which are usually taken to vanish, can give a non-trivial contribution in the presence of gravity, unlike in the case of finite negative $t$. This implies that gravitational positivity bounds cannot be trusted unless the size of this contribution is estimated in some way, which implies assumptions on the UV completion of gravitational interactions. We discuss the relevance of these findings in the particular case of QED coupled to gravity.

11.997008

11.725753

11.548927

11.154397

12.138102

12.053391

12.401188

11.420179

11.580811

12.135317

11.271372

11.273245

11.088837

11.409089

11.488088

11.198599

11.454478

11.028488

11.489619

11.425016

11.307383

hep-th/9905187

Gerald V. Dunne

Ashok Das and Gerald Dunne

Non-static Dimensional Reduction of QED_3 at Finite Temperature

28 pp, 11 figures, uses axodraw.sty

Phys.Rev. D60 (1999) 085010

10.1103/PhysRevD.60.085010

null

hep-th

null

We study an extreme non-static limit of 2+1-dimensional QED obtained by making a dimensional reduction so that all fields are spatially uniform but time dependent. This dimensional reduction leads to a 0+1-dimensional field theory that inherits many of the features of the 2+1-dimensional model, such as Chern-Simons terms, time-reversal violation, an analogue of parity violation, and global U(2) flavor symmetry. At one-loop level, interactions induce a Chern-Simons term at finite T with coefficient tanh(beta m_F/2), where m_F is the fermion mass. The finite temperature two loop self-energies are also computed, and are non-zero for all temperatures.

[ { "created": "Tue, 25 May 1999 21:04:09 GMT", "version": "v1" } ]

2009-10-31

[ [ "Das", "Ashok", "" ], [ "Dunne", "Gerald", "" ] ]

We study an extreme non-static limit of 2+1-dimensional QED obtained by making a dimensional reduction so that all fields are spatially uniform but time dependent. This dimensional reduction leads to a 0+1-dimensional field theory that inherits many of the features of the 2+1-dimensional model, such as Chern-Simons terms, time-reversal violation, an analogue of parity violation, and global U(2) flavor symmetry. At one-loop level, interactions induce a Chern-Simons term at finite T with coefficient tanh(beta m_F/2), where m_F is the fermion mass. The finite temperature two loop self-energies are also computed, and are non-zero for all temperatures.

10.320005

10.424807

10.341543

9.506754

10.612807

10.033669

10.965515

9.1404

9.597956

9.989429

9.998873

9.293416

9.842488

9.047161

9.545339

9.06976

9.062514

9.161679

9.114891

9.808505

9.052803

2212.09418

Ziwen Kong

A network of hyperloops

23 pages, 2 figures

null

10.1007/JHEP06(2023)111

null

hep-th

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

In this paper we complete the exploration of connected components of the space of BPS Wilson loops in three-dimensional $\mathcal{N}=4$ Chern-Simons-matter theory on $S^3$. The algorithm is to start with a supersymmetric Wilson loop, choose a preserved supercharge, and look for BPS deformations built out of the matter fields in the proper representations. Using this, we discover many new moduli spaces of nonconformal BPS Wilson loops preserving a single or two supercharges, which are subsets of the symmetries of the 1/4 and 3/8 BPS operators. Along with the those previously found in arXiv:2012.07096, arXiv:2206.07390 and arXiv:2210.03758, the total moduli spaces are closed under this formalism.

[ { "created": "Mon, 19 Dec 2022 12:50:38 GMT", "version": "v1" } ]

2023-07-05

[ [ "Kong", "Ziwen", "" ] ]

In this paper we complete the exploration of connected components of the space of BPS Wilson loops in three-dimensional $\mathcal{N}=4$ Chern-Simons-matter theory on $S^3$. The algorithm is to start with a supersymmetric Wilson loop, choose a preserved supercharge, and look for BPS deformations built out of the matter fields in the proper representations. Using this, we discover many new moduli spaces of nonconformal BPS Wilson loops preserving a single or two supercharges, which are subsets of the symmetries of the 1/4 and 3/8 BPS operators. Along with the those previously found in arXiv:2012.07096, arXiv:2206.07390 and arXiv:2210.03758, the total moduli spaces are closed under this formalism.

8.983431

8.517364

9.476168

8.070993

7.960044

8.256876

8.305532

8.079763

8.411947

10.260865

8.470379

7.886944

8.699624

8.056272

7.942298

8.024325

7.92398

7.748601

8.021642

8.711081

7.973789

1605.04881

Andrei Mironov

A. Mironov, A. Morozov, An. Morozov and A. Sleptsov

Racah matrices and hidden integrability in evolution of knots

16 pages

Physics Letters B760 (2016) 45-58

10.1016/j.physletb.2016.06.041

FIAN/TD-12/16; IITP/TH-08/16; ITEP/TH-10/16

hep-th math.GT math.QA

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

We construct a general procedure to extract the exclusive Racah matrices S and \bar S from the inclusive 3-strand mixing matrices by the evolution method and apply it to the first simple representations R =[1], [2], [3] and [2,2]. The matrices S and \bar S relate respectively the maps (R\otimes R)\otimes \bar R\longrightarrow R with R\otimes (R \otimes \bar R) \longrightarrow R and (R\otimes \bar R) \otimes R \longrightarrow R with R\otimes (\bar R \otimes R) \longrightarrow R. They are building blocks for the colored HOMFLY polynomials of arbitrary arborescent (double fat) knots. Remarkably, the calculation realizes an unexpected integrability property underlying the evolution matrices.

[ { "created": "Mon, 16 May 2016 19:44:44 GMT", "version": "v1" } ]

2016-06-30

[ [ "Mironov", "A.", "" ], [ "Morozov", "A.", "" ], [ "Morozov", "An.", "" ], [ "Sleptsov", "A.", "" ] ]

We construct a general procedure to extract the exclusive Racah matrices S and \bar S from the inclusive 3-strand mixing matrices by the evolution method and apply it to the first simple representations R =[1], [2], [3] and [2,2]. The matrices S and \bar S relate respectively the maps (R\otimes R)\otimes \bar R\longrightarrow R with R\otimes (R \otimes \bar R) \longrightarrow R and (R\otimes \bar R) \otimes R \longrightarrow R with R\otimes (\bar R \otimes R) \longrightarrow R. They are building blocks for the colored HOMFLY polynomials of arbitrary arborescent (double fat) knots. Remarkably, the calculation realizes an unexpected integrability property underlying the evolution matrices.

8.783219

7.781258

11.325616

7.411029

8.341478

7.452816

7.978845

7.518862

7.410794

10.118003

7.493625

8.026252

8.576265

7.6445

7.868483

7.931937

7.965255

8.07493

8.004104

8.612511

7.826843

1910.00654

George Savvidy K

George Savvidy

From Heisenberg-Euler Lagrangian to the discovery of chromomagnetic gluon condensation

37 pages, 2 figures, discussions and references added

null

10.1140/epjc/s10052-020-7711-6

NRCPS-HE-77-2019

hep-th hep-ph

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

I reexamine the phenomena of the chromomagnetic gluon condensation in Yang-Mills theory. The extension of the Heisenberg-Euler Lagrangian to the Yang-Mills theory allows to calculate the effective action, the energy-momentum tensor and demonstrate that the energy density curve crosses the zero energy level of the perturbative vacuum state at nonzero angle and continuously enters to the negative energy density region. At the crossing point and further down the effective coupling constant is small and demonstrate that the true vacuum state of the Yang-Mills theory is below the perturbative vacuum state and is described by the nonzero chromomagnetic gluon condensate. The renormalisation group analysis allows to express the energy momentum tensor, its trace and the first and second order derivatives in terms of Callan-Symanzik beta function and effective coupling constant. The derivatives define the convexity and the extremum of the energy density curve. In the vacuum the energy-momentum tensor is proportional to the space-time metric, and induces a negative contribution to the effective cosmological constant.

[ { "created": "Tue, 1 Oct 2019 20:26:57 GMT", "version": "v1" }, { "created": "Mon, 4 Nov 2019 10:59:17 GMT", "version": "v2" }, { "created": "Sun, 26 Jan 2020 18:02:29 GMT", "version": "v3" } ]

2020-03-18

[ [ "Savvidy", "George", "" ] ]

I reexamine the phenomena of the chromomagnetic gluon condensation in Yang-Mills theory. The extension of the Heisenberg-Euler Lagrangian to the Yang-Mills theory allows to calculate the effective action, the energy-momentum tensor and demonstrate that the energy density curve crosses the zero energy level of the perturbative vacuum state at nonzero angle and continuously enters to the negative energy density region. At the crossing point and further down the effective coupling constant is small and demonstrate that the true vacuum state of the Yang-Mills theory is below the perturbative vacuum state and is described by the nonzero chromomagnetic gluon condensate. The renormalisation group analysis allows to express the energy momentum tensor, its trace and the first and second order derivatives in terms of Callan-Symanzik beta function and effective coupling constant. The derivatives define the convexity and the extremum of the energy density curve. In the vacuum the energy-momentum tensor is proportional to the space-time metric, and induces a negative contribution to the effective cosmological constant.

9.038412

9.4813

9.394689

8.915485

9.248198

9.487211

9.584061

9.077697

9.186281

9.239757

8.646828

8.804586

8.775233

8.638118

9.058531

8.869276

8.630233

8.886903

8.646688

8.643697

8.702397

hep-th/0002047

Michael Dine

Towards a Solution of the Moduli Problems of String Cosmology

16 pp. latex. Refs. added; some clarification of assumptions

Phys.Lett. B482 (2000) 213-221

10.1016/S0370-2693(00)00483-4

SCIPP 2000/04

hep-th

null

There are at least two serious moduli problems in string cosmology. The first is the possibility that moduli dominate the energy density at the time of nucleosynthesis. The second is that they may not find their minima all together. After reviewing some previously proposed solutions to these problems, we propose another: all of the moduli but the dilaton sit at points of enhanced symmetry. The dilaton has a potential similar to those of racetrack models; it is very massive and its dynamics do not break supersymmetry. The dilaton is able to find the minimum of its potential because the energy is dominated by non-zero momentum modes. This energy need not be thermal. The effective potential for the dilaton is quite different from its flat space form. If certain conditions are satisfied, the dilaton settles into the desired minimum; if not, it is forced to weak coupling.

[ { "created": "Mon, 7 Feb 2000 00:06:45 GMT", "version": "v1" }, { "created": "Tue, 8 Feb 2000 23:48:35 GMT", "version": "v2" } ]

2009-10-31

[ [ "Dine", "Michael", "" ] ]

There are at least two serious moduli problems in string cosmology. The first is the possibility that moduli dominate the energy density at the time of nucleosynthesis. The second is that they may not find their minima all together. After reviewing some previously proposed solutions to these problems, we propose another: all of the moduli but the dilaton sit at points of enhanced symmetry. The dilaton has a potential similar to those of racetrack models; it is very massive and its dynamics do not break supersymmetry. The dilaton is able to find the minimum of its potential because the energy is dominated by non-zero momentum modes. This energy need not be thermal. The effective potential for the dilaton is quite different from its flat space form. If certain conditions are satisfied, the dilaton settles into the desired minimum; if not, it is forced to weak coupling.

9.239429

9.971337

9.280428

8.758679

10.07914

9.609643

9.209942

8.96437

8.940481

9.550074

8.686985

8.613922

8.578069

8.554245

8.455429

8.544015

8.476291

8.665525

8.514066

8.876707

8.615435

hep-th/0607246

Jean Nuyts

Fernand Grard, Jean Nuyts

Elementary Kaluza-Klein Towers revisited

20 pages, 1 figure

Phys.Rev.D74:124013,2006

10.1103/PhysRevD.74.124013

null

hep-th

null

Considering that the momentum squared in the extra dimensions is the physically relevant quantity for the generation of the Kaluza-Klein mass states, we have reanalyzed mathematically the procedure for five dimensional scalar fields within the Arkhani-Ahmed, Dimopoulos and Dvali scenario. We find new sets of physically allowed boundary conditions. Beside the usual results, they lead to new towers with non regular mass spacing, to lonely mass states and to tachyons. We remark that, since the SO(1,4) symmetry is to be broken due to the compactification of the extra dimensions, the speed of light could be different in the fifth dimension. This would lead to the possible appearance of a new universal constant besides $\hbar$ and $c$.

[ { "created": "Sun, 30 Jul 2006 11:13:16 GMT", "version": "v1" } ]

2008-11-26

[ [ "Grard", "Fernand", "" ], [ "Nuyts", "Jean", "" ] ]

Considering that the momentum squared in the extra dimensions is the physically relevant quantity for the generation of the Kaluza-Klein mass states, we have reanalyzed mathematically the procedure for five dimensional scalar fields within the Arkhani-Ahmed, Dimopoulos and Dvali scenario. We find new sets of physically allowed boundary conditions. Beside the usual results, they lead to new towers with non regular mass spacing, to lonely mass states and to tachyons. We remark that, since the SO(1,4) symmetry is to be broken due to the compactification of the extra dimensions, the speed of light could be different in the fifth dimension. This would lead to the possible appearance of a new universal constant besides $\hbar$ and $c$.

14.174491

15.029265

13.025234

13.119892

13.373439

13.23783

14.558521

14.169599

14.442711

14.903196

14.457318

13.378244

13.161633

13.211597

13.446748

13.406237

13.381259

13.187003

13.167412

13.456006

13.200561

hep-th/9601112

Yuri Kubyshin

Jordi Comellas, Yuri Kubyshin and Enrique Moreno

Approximate solutions in scalar and fermionic theories within the exact renormalization group approach

LaTeX, 18 pages, 2 Postscript figures, Talk delivered at the Xth International Workshop on High Energy Physics and Quantum Field Theory (Zvenigorod, Russia, 20-26 September 1995). Some misprints, which are not essential for the results of the article, are corrected in the revised version

null

FTUAM 96/2

hep-th

null

We give a review of the exact renormalization group (ERG) approach and illustrate its applications in scalar and fermionic theories. The derivative expansion and approximations based on the derivative expansion with further truncation in the number of fields (mixed approximation) are discussed. We analyse the mixed approximation for a three-dimensional scalar theory and show that it is less effective than the pure derivative expansion. For pure fermionic theories analytical solutions for the pure derivative expansion and mixed approximation in the limit $N \to \infty $, where $N$ is the number of fermionic species, are found. For finite $N$ a few series of fixed point solutions with their anomalous dimensions and critical exponents are computed numerically. We argue that one of the fermionic solutions can be identified with that of Dashen and Frishman, whereas the others seem to be new ones. The issues of spurious solutions and scheme dependence of the results are discussed.

[ { "created": "Mon, 22 Jan 1996 12:44:12 GMT", "version": "v1" }, { "created": "Sun, 3 Mar 1996 16:52:20 GMT", "version": "v2" } ]

2008-02-03

[ [ "Comellas", "Jordi", "" ], [ "Kubyshin", "Yuri", "" ], [ "Moreno", "Enrique", "" ] ]

We give a review of the exact renormalization group (ERG) approach and illustrate its applications in scalar and fermionic theories. The derivative expansion and approximations based on the derivative expansion with further truncation in the number of fields (mixed approximation) are discussed. We analyse the mixed approximation for a three-dimensional scalar theory and show that it is less effective than the pure derivative expansion. For pure fermionic theories analytical solutions for the pure derivative expansion and mixed approximation in the limit $N \to \infty $, where $N$ is the number of fermionic species, are found. For finite $N$ a few series of fixed point solutions with their anomalous dimensions and critical exponents are computed numerically. We argue that one of the fermionic solutions can be identified with that of Dashen and Frishman, whereas the others seem to be new ones. The issues of spurious solutions and scheme dependence of the results are discussed.

7.72752

7.10875

8.05801

7.152578

8.319804

7.871868

8.184137

7.028857

6.963967

8.605276

7.294759

7.509947

7.854871

7.427715

7.673117

7.719552

7.501964

7.457842

7.257287

7.940507

7.444941

0812.3182

Tirthabir Biswas

Tirthabir Biswas and Stephon Alexander

Cyclic Inflation

15 pages, 2 figures

Phys.Rev.D80:043511,2009

10.1103/PhysRevD.80.043511

IGC-08/12-1

hep-th astro-ph gr-qc

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

We present an inflationary model that is geodesically complete and does not suffer from the transplanckian problem. In most inflationary models, massless (conformal) scalar field fluctuations in a deSitter background gives rise to a scale-invariant spectrum. In this work, we realize scale invariant perturbations from thermal fluctuations in (conformal) radiation during a radiation dominated contraction era prior to inflation. As the modes exit the Hubble radius during the contraction phase, scale invariant fluctuations are indeed generated. After many cycles, we enter into a power-law inflationary phase, that stretches the modes produced in the previous contraction phase to scales that we observe today.

[ { "created": "Wed, 17 Dec 2008 14:44:55 GMT", "version": "v1" } ]

2009-09-02

[ [ "Biswas", "Tirthabir", "" ], [ "Alexander", "Stephon", "" ] ]

We present an inflationary model that is geodesically complete and does not suffer from the transplanckian problem. In most inflationary models, massless (conformal) scalar field fluctuations in a deSitter background gives rise to a scale-invariant spectrum. In this work, we realize scale invariant perturbations from thermal fluctuations in (conformal) radiation during a radiation dominated contraction era prior to inflation. As the modes exit the Hubble radius during the contraction phase, scale invariant fluctuations are indeed generated. After many cycles, we enter into a power-law inflationary phase, that stretches the modes produced in the previous contraction phase to scales that we observe today.

8.992294

9.687

9.008677

8.107088

9.18144

8.899135

9.272851

8.746655

8.905869

8.715362

8.563509

8.652651

8.426787

8.444364

8.673109

8.743328

9.117564

8.678699

8.725646

8.743986

8.631371

1902.01563

Nikolaos Dimakis

F. Canfora, N. Dimakis and A. Paliathanasis

Analytic Studies of Static and Transport Properties of (Gauged) Skyrmions

Latex2e source file, 30 pages, 7 figures, accepted for publication in European Physical Journal C

null

10.1140/epjc/s10052-019-6647-1

null

hep-th

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

We study static and transport properties of Skyrmions living within a finite spatial volume in a flat (3+1)-dimensional spacetime. In particular, we derive an explicit analytic expression for the compression modulus corresponding to these Skyrmions living within a finite box and we show that such expression can produce a reasonable value. The gauged version of these solitons can be also considered. It is possible to analyze the order of magnitude of the contributions to the electrons conductivity associated to the interactions with this Baryonic environment. The typical order of magnitude for these contributions\ to conductivity can be compared with the experimental values of the conductivity of layers of Baryons.

[ { "created": "Tue, 5 Feb 2019 06:07:19 GMT", "version": "v1" } ]

2019-03-27

[ [ "Canfora", "F.", "" ], [ "Dimakis", "N.", "" ], [ "Paliathanasis", "A.", "" ] ]

We study static and transport properties of Skyrmions living within a finite spatial volume in a flat (3+1)-dimensional spacetime. In particular, we derive an explicit analytic expression for the compression modulus corresponding to these Skyrmions living within a finite box and we show that such expression can produce a reasonable value. The gauged version of these solitons can be also considered. It is possible to analyze the order of magnitude of the contributions to the electrons conductivity associated to the interactions with this Baryonic environment. The typical order of magnitude for these contributions\ to conductivity can be compared with the experimental values of the conductivity of layers of Baryons.

17.225306

15.047164

15.248473

14.320721

17.199013

15.263947

15.494162

15.802679

14.185742

16.320669

14.003778

14.792496

14.70919

14.771299

14.736897

14.540354

14.410588

13.867088

14.77843

14.566922

14.21987

1109.5927

Carlos M. Reyes

Justo Lopez-Sarrion and Carlos M. Reyes

Microcausality and quantization of the fermionic Myers-Pospelov model

9 pages and 3 figures, new version accepted in EPJC, Volume 72, Issue 9, includes lee-wick review, microcausality

null

10.1140/epjc/s10052-012-2150-7

null

hep-th

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

We study the fermionic sector of the Myers and Pospelov theory with a general background $n$. The spacelike case without temporal component is well defined and no new ingredients came about, apart from the explicit Lorentz invariance violation. The lightlike case is ill defined and physically discarded. However, the other case where a nonvanishing temporal component of the background is present, the theory is physically consistent. We show that new modes appear as a consequence of higher time derivatives. We quantize the timelike theory and calculate the microcausality violation which turns out to occur near the light cone.

[ { "created": "Tue, 27 Sep 2011 15:03:30 GMT", "version": "v1" }, { "created": "Tue, 25 Sep 2012 19:45:56 GMT", "version": "v2" } ]

2012-09-26

[ [ "Lopez-Sarrion", "Justo", "" ], [ "Reyes", "Carlos M.", "" ] ]

We study the fermionic sector of the Myers and Pospelov theory with a general background $n$. The spacelike case without temporal component is well defined and no new ingredients came about, apart from the explicit Lorentz invariance violation. The lightlike case is ill defined and physically discarded. However, the other case where a nonvanishing temporal component of the background is present, the theory is physically consistent. We show that new modes appear as a consequence of higher time derivatives. We quantize the timelike theory and calculate the microcausality violation which turns out to occur near the light cone.

16.947853

16.254141

16.514421

14.675171

16.853588

15.336734

15.305049

15.433679

14.743279

15.868062

14.757191

15.562705

15.84119

15.380584

15.977018

16.051659

16.244083

15.226992

15.531935

15.992091

15.595781

1311.1217

Da-Wei Pang

Johanna Erdmenger, Da-Wei Pang and Hansj\"org Zeller

Holographic entanglement entropy of semi-local quantum liquids

33 pages, 24 figures

null

10.1007/JHEP02(2014)016

MPP-2013-285

hep-th

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

We consider the holographic entanglement entropy of $(d+2)$-dimensional semi-local quantum liquids, for which the dual gravity background in the deep interior is $AdS_{2}\times\mathbb{R}^{d}$ multiplied by a warp factor which depends on the radial coordinate. The entropy density of this geometry goes to zero in the extremal limit. The thermodynamics associated with this semi-local background is discussed via dimensional analysis and scaling arguments. For the case of an asymptotically AdS UV completion of this geometry, we show that the entanglement entropy of a strip and an annulus exhibits a phase transition as a typical length of the different shapes is varied, while there is no sign of such a transition for the entanglement entropy of a sphere. Moreover, for the spherical entangling region, the leading order contribution to the entanglement entropy in the IR is calculated analytically. It exhibits an area law behaviour and agrees with the numerical result.

[ { "created": "Tue, 5 Nov 2013 21:03:44 GMT", "version": "v1" } ]

2015-06-17

[ [ "Erdmenger", "Johanna", "" ], [ "Pang", "Da-Wei", "" ], [ "Zeller", "Hansjörg", "" ] ]

We consider the holographic entanglement entropy of $(d+2)$-dimensional semi-local quantum liquids, for which the dual gravity background in the deep interior is $AdS_{2}\times\mathbb{R}^{d}$ multiplied by a warp factor which depends on the radial coordinate. The entropy density of this geometry goes to zero in the extremal limit. The thermodynamics associated with this semi-local background is discussed via dimensional analysis and scaling arguments. For the case of an asymptotically AdS UV completion of this geometry, we show that the entanglement entropy of a strip and an annulus exhibits a phase transition as a typical length of the different shapes is varied, while there is no sign of such a transition for the entanglement entropy of a sphere. Moreover, for the spherical entangling region, the leading order contribution to the entanglement entropy in the IR is calculated analytically. It exhibits an area law behaviour and agrees with the numerical result.

7.34895

7.188787

8.140709

7.165256

7.595366

7.482224

7.323988

7.325687

7.342898

9.221998

7.199772

7.233332

7.358819

7.129256

7.379426

7.472455

7.438428

7.14715

7.303002

7.37297

6.875024

1512.06568

Vahid Nikoofard

Vahid Nikoofard and Everton M. C. Abreu

Some considerations on duality concerning kappa-Minkowski spacetime theories

20 pages

Phys. Rev. D 93, 045012 (2016)

10.1103/PhysRevD.93.045012

null

hep-th

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

In this paper we have analyzed the $\kappa$-deformed Minkowski spacetime through the light of the interference phenomena in QFT where two opposite chiral fields are put together in the same multiplet and its consequences are discussed. The chiral models analyzed here are the chiral Schwinger model, its generalized version and its gauge invariant version, where a Wess-Zumino term were added. We will see that the final actions obtained here are in fact related to the original ones via duality transformations.

[ { "created": "Mon, 21 Dec 2015 10:33:50 GMT", "version": "v1" } ]

2016-02-17

[ [ "Nikoofard", "Vahid", "" ], [ "Abreu", "Everton M. C.", "" ] ]

In this paper we have analyzed the $\kappa$-deformed Minkowski spacetime through the light of the interference phenomena in QFT where two opposite chiral fields are put together in the same multiplet and its consequences are discussed. The chiral models analyzed here are the chiral Schwinger model, its generalized version and its gauge invariant version, where a Wess-Zumino term were added. We will see that the final actions obtained here are in fact related to the original ones via duality transformations.

13.563923

12.747262

14.182013

11.857004

13.56755

12.687385

12.09447

12.337929

11.919829

15.292665

11.638643

12.276003

12.550064

12.299097

12.62959

13.114722

12.068698

12.283648

12.142394

13.286678

11.758855

hep-th/0410166

Gabriele Veneziano

G. Veneziano

String-theoretic unitary S-matrix at the threshold of black-hole production

18 pages, 4 figures; typos corrected, references and acknowledgements updated, figures' explanation added in text

JHEP 0411:001,2004

10.1088/1126-6708/2004/11/001

CERN-PH-TH/2004-192

hep-th

null

Previous results on trans-Planckian collisions in superstring theory are rewritten in terms of an explicitly unitary S-matrix whose range of validity covers a large region of the energy/impact-parameter plane. Amusingly, as part of this region's border is approached, properties of the final state start resembling those expected from the evaporation of a black-hole even well below its production threshold. More specifically, we conjecture that, in an energy window extending up such a threshold, inclusive cross sections satisfy a peculiar "anti-scaling" behaviour seemingly preparing for a smooth transition to black-hole physics.

[ { "created": "Thu, 14 Oct 2004 13:44:03 GMT", "version": "v1" }, { "created": "Fri, 22 Oct 2004 14:22:31 GMT", "version": "v2" } ]

2010-02-03

[ [ "Veneziano", "G.", "" ] ]

Previous results on trans-Planckian collisions in superstring theory are rewritten in terms of an explicitly unitary S-matrix whose range of validity covers a large region of the energy/impact-parameter plane. Amusingly, as part of this region's border is approached, properties of the final state start resembling those expected from the evaporation of a black-hole even well below its production threshold. More specifically, we conjecture that, in an energy window extending up such a threshold, inclusive cross sections satisfy a peculiar "anti-scaling" behaviour seemingly preparing for a smooth transition to black-hole physics.

20.911049

20.732218

19.668156

17.555222

20.492811

21.245111

20.098337

19.852499

18.281597

19.653463

18.348942

17.855049

18.713457

18.267881

18.936541

19.1084

18.388971

18.840143

19.18243

19.806456

19.544329

2205.07305

Jung-Wook Kim

Wei-Ming Chen, Ming-Zhi Chung, Yu-tin Huang, Jung-Wook Kim

Gravitational Faraday effect from on-shell amplitudes

published version; changed title; expanded discussions on the special role of Kerr coupling in exponentiation; additional references; 45 pages, 4 figures, 1 ancillary file

J. High Energ. Phys. 2022, 58 (2022)

10.1007/JHEP12(2022)058

KOBE-COSMO-22-04, QMUL-PH-22-16

hep-th gr-qc

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

Effects of massive object's spin on massive-massless $2 \to 2$ classical scattering is studied. Focus is set on the less-considered dimensionless expansion parameter $\lambda/b$, where $\lambda$ is the massless particle's wavelength and $b$ is the impact parameter. Corrections in $\lambda/b$ start to appear from $\mathcal{O}(G^2)$, with leading correction terms tied to the gravitational Faraday effect, which is a special case of the Lense-Thirring effect. We compute the eikonal phase up to $\mathcal{O}(G^2)$ and extract spin effect on the scattering angle and time delay up to 14th order in spin. The gravitational Faraday effect at linear order in spin is reproduced by $\lambda/b$ correction terms, which we compute to higher orders in spin. We find that the equivalence principle, or universality, holds up to NLO for general spinning bodies, i.e. away from geometric optics limit. Furthermore, in the black hole limit, we confirm the absence of particular spin structure observed, along with the associated shift symmetry, and argue that it holds to arbitrary spin order at $\mathcal{O}(G^2)$ in the massless probe limit.

[ { "created": "Sun, 15 May 2022 14:57:57 GMT", "version": "v1" }, { "created": "Wed, 18 May 2022 15:17:46 GMT", "version": "v2" }, { "created": "Mon, 11 Jul 2022 15:31:11 GMT", "version": "v3" }, { "created": "Thu, 15 Dec 2022 11:17:21 GMT", "version": "v4" } ]

2022-12-16

[ [ "Chen", "Wei-Ming", "" ], [ "Chung", "Ming-Zhi", "" ], [ "Huang", "Yu-tin", "" ], [ "Kim", "Jung-Wook", "" ] ]

Effects of massive object's spin on massive-massless $2 \to 2$ classical scattering is studied. Focus is set on the less-considered dimensionless expansion parameter $\lambda/b$, where $\lambda$ is the massless particle's wavelength and $b$ is the impact parameter. Corrections in $\lambda/b$ start to appear from $\mathcal{O}(G^2)$, with leading correction terms tied to the gravitational Faraday effect, which is a special case of the Lense-Thirring effect. We compute the eikonal phase up to $\mathcal{O}(G^2)$ and extract spin effect on the scattering angle and time delay up to 14th order in spin. The gravitational Faraday effect at linear order in spin is reproduced by $\lambda/b$ correction terms, which we compute to higher orders in spin. We find that the equivalence principle, or universality, holds up to NLO for general spinning bodies, i.e. away from geometric optics limit. Furthermore, in the black hole limit, we confirm the absence of particular spin structure observed, along with the associated shift symmetry, and argue that it holds to arbitrary spin order at $\mathcal{O}(G^2)$ in the massless probe limit.

9.721189

10.639452

9.931673

9.432632

10.995945

10.089396

10.209908

10.693793

9.697696

10.445626

9.790524

9.294854

9.666097

9.666596

10.006526

9.577504

9.919368

9.851224

9.645844

10.170439

9.458704

1511.05555

Eric Perlmutter

Ashwin Hegde, Per Kraus, Eric Perlmutter

General Results for Higher Spin Wilson Lines and Entanglement in Vasiliev Theory

48+26 pages

null

10.1007/JHEP01(2016)176

null

hep-th

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

We develop tools for the efficient evaluation of Wilson lines in 3D higher spin gravity, and use these to compute entanglement entropy in the hs$[\lambda]$ Vasiliev theory that governs the bulk side of the duality proposal of Gaberdiel and Gopakumar. Our main technical advance is the determination of SL(N) Wilson lines for arbitrary $N$, which, in suitable cases, enables us to analytically continue to hs$[\lambda]$ via $N \rightarrow -\lambda$. We apply this result to compute various quantities of interest, including entanglement entropy expanded perturbatively in the background higher spin charge, chemical potential, and interval size. This includes a computation of entanglement entropy in the higher spin black hole of the Vasiliev theory. These results are consistent with conformal field theory calculations. We also provide an alternative derivation of the Wilson line, by showing how it arises naturally from earlier work on scalar correlators in higher spin theory. The general picture that emerges is consistent with the statement that the SL(N) Wilson line computes the semiclassical $W_N$ vacuum block, and our results provide an explicit result for this object.

[ { "created": "Tue, 17 Nov 2015 20:58:40 GMT", "version": "v1" } ]

2016-03-23

[ [ "Hegde", "Ashwin", "" ], [ "Kraus", "Per", "" ], [ "Perlmutter", "Eric", "" ] ]

We develop tools for the efficient evaluation of Wilson lines in 3D higher spin gravity, and use these to compute entanglement entropy in the hs$[\lambda]$ Vasiliev theory that governs the bulk side of the duality proposal of Gaberdiel and Gopakumar. Our main technical advance is the determination of SL(N) Wilson lines for arbitrary $N$, which, in suitable cases, enables us to analytically continue to hs$[\lambda]$ via $N \rightarrow -\lambda$. We apply this result to compute various quantities of interest, including entanglement entropy expanded perturbatively in the background higher spin charge, chemical potential, and interval size. This includes a computation of entanglement entropy in the higher spin black hole of the Vasiliev theory. These results are consistent with conformal field theory calculations. We also provide an alternative derivation of the Wilson line, by showing how it arises naturally from earlier work on scalar correlators in higher spin theory. The general picture that emerges is consistent with the statement that the SL(N) Wilson line computes the semiclassical $W_N$ vacuum block, and our results provide an explicit result for this object.

9.148255

8.993311

11.283799

8.921346

9.596183

9.369807

8.722952

8.659437

8.559114

11.30155

8.42981

8.558502

9.322498

8.782375

8.803622

8.827604

8.914965

8.789989

8.957813

9.670492

8.524417

1805.04202

Stefan Theisen

Adam Schwimmer and Stefan Theisen

Moduli Anomalies and Local Terms in the Operator Product Expansion

24 pages, 2 figures, v2: footnote and reference added

null

10.1007/JHEP07(2018)110

null

hep-th

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

Local terms in the Operator Product Expansion in Superconformal Theories with extended supersymmetry are identified. Assuming a factorized structure for these terms their contributions are discussed.

[ { "created": "Thu, 10 May 2018 23:04:23 GMT", "version": "v1" }, { "created": "Sun, 27 May 2018 09:20:46 GMT", "version": "v2" } ]

2018-08-15

[ [ "Schwimmer", "Adam", "" ], [ "Theisen", "Stefan", "" ] ]

Local terms in the Operator Product Expansion in Superconformal Theories with extended supersymmetry are identified. Assuming a factorized structure for these terms their contributions are discussed.

19.936573

17.393333

18.867775

16.742191

17.623182

17.105837

17.420811

19.79553

16.941231

22.336506

17.426485

17.269646

14.97272

15.393259

14.948469

16.780014

16.282246

15.487632

14.643345

16.172359

16.697401

hep-th/9705086

Alexander Stepanenko

K.N.Ilinski, G.V.Kalinin, A.S.Stepanenko (IPhys Group)

q-Functional Field Theory for particles with exotic statistics

12 pages, LaTeX

Phys.Lett. A232 (1997) 399-408

10.1016/S0375-9601(97)00402-7

IPHYS-TH-002-97

hep-th cond-mat.stat-mech math-ph math.MP math.QA q-alg quant-ph

null

In the paper we give consecutive description of functional methods of quantum field theory for systems of interacting q-particles. These particles obey exotic statistics and appear in many problems of condensed matter physics, magnetism and quantum optics. Motivated by the general ideas of standard field theory we derive formulae in q-functional derivatives for the partition function and Green's functions generating functional for systems of exotic particles. This leads to a corresponding perturbation series and a diagram technique. Results are illustrated by a consideration of an one-dimensional q-particle system and compared with some exact expressions obtained earlier.

[ { "created": "Tue, 13 May 1997 15:35:29 GMT", "version": "v1" } ]

2009-10-30

[ [ "Ilinski", "K. N.", "", "IPhys Group" ], [ "Kalinin", "G. V.", "", "IPhys Group" ], [ "Stepanenko", "A. S.", "", "IPhys Group" ] ]

In the paper we give consecutive description of functional methods of quantum field theory for systems of interacting q-particles. These particles obey exotic statistics and appear in many problems of condensed matter physics, magnetism and quantum optics. Motivated by the general ideas of standard field theory we derive formulae in q-functional derivatives for the partition function and Green's functions generating functional for systems of exotic particles. This leads to a corresponding perturbation series and a diagram technique. Results are illustrated by a consideration of an one-dimensional q-particle system and compared with some exact expressions obtained earlier.

18.143797

14.151216

17.675716

14.057464

13.706708

14.284305

14.337545

14.315541

15.138686

18.010553

15.582505

15.173445

16.86939

16.333445

15.783413

15.702773

15.540481

15.480012

16.222309

17.490541

16.595476

hep-th/0505032

Alessio Marrani

Fabio Cardone, Alessio Marrani and Roberto Mignani

Boosts in an arbitrary direction and maximal causal velocities in a deformed Minkowski space

24 pages. Slightly improved version with respect to the published one (some misprints corrected, Ref.s added, Eq.s revised, comments made)

Found.Phys.Lett. 16 (2003) 163

null

hep-th gr-qc

null

We discuss boosts in a deformed Minkowski space, i.e. a four-dimensional space-time with metric coefficients depending on non-metric coordinates (in particular on the energy). The general form of a boost in an arbitrary direction is derived in the case of space anisotropy. Two maximal 3-vector velocities are mathematically possible, an isotropic and an anisotropic one. However, only the anisotropic velocity has physical meaning, being invariant indeed under deformed boosts.

[ { "created": "Wed, 4 May 2005 08:52:42 GMT", "version": "v1" } ]

2007-05-23

[ [ "Cardone", "Fabio", "" ], [ "Marrani", "Alessio", "" ], [ "Mignani", "Roberto", "" ] ]

We discuss boosts in a deformed Minkowski space, i.e. a four-dimensional space-time with metric coefficients depending on non-metric coordinates (in particular on the energy). The general form of a boost in an arbitrary direction is derived in the case of space anisotropy. Two maximal 3-vector velocities are mathematically possible, an isotropic and an anisotropic one. However, only the anisotropic velocity has physical meaning, being invariant indeed under deformed boosts.

12.514708

10.909504

12.059376

11.199194

12.036302

11.511813

11.598334

11.728005

10.298963

14.297606

11.370965

11.851245

11.260665

11.405098

12.512243

11.38597

12.297299

11.564085

11.33213

11.739361

12.00259

2301.13219

Ant\'onio Antunes

Ant\'onio Antunes, Miguel S. Costa, Jos\'e Pereira

Exploring Inelasticity in the S-Matrix Bootstrap

8 pages, 14 figures; v2 minor modifications; v3 improved discussion, matches published version

Phys.Let.B 846 (2023), 138225

10.1016/j.physletb.2023.138225

DESY-23-015

hep-th

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

The modern S-Matrix Bootstrap provides non-perturbative bounds on low-energy aspects of scattering amplitudes, leveraging the constraints of unitarity, analyticity and crossing. Typically, the solutions saturating such bounds also saturate the unitarity constraint as much as possible, meaning that they are almost exclusively elastic. This is expected to be unphysical in $d>2$ because of Aks' theorem. We explore this issue by adding inelasticity as an additional input, both using a primal approach in general dimensions which extends the usual ansatz, and establishing a dual formulation in the 2d case. We then measure the effects on the low-energy observables where we observe stronger bounds than in the standard setup.

[ { "created": "Mon, 30 Jan 2023 19:00:04 GMT", "version": "v1" }, { "created": "Wed, 8 Feb 2023 09:37:12 GMT", "version": "v2" }, { "created": "Tue, 10 Oct 2023 21:21:33 GMT", "version": "v3" } ]

2023-10-12

[ [ "Antunes", "António", "" ], [ "Costa", "Miguel S.", "" ], [ "Pereira", "José", "" ] ]

The modern S-Matrix Bootstrap provides non-perturbative bounds on low-energy aspects of scattering amplitudes, leveraging the constraints of unitarity, analyticity and crossing. Typically, the solutions saturating such bounds also saturate the unitarity constraint as much as possible, meaning that they are almost exclusively elastic. This is expected to be unphysical in $d>2$ because of Aks' theorem. We explore this issue by adding inelasticity as an additional input, both using a primal approach in general dimensions which extends the usual ansatz, and establishing a dual formulation in the 2d case. We then measure the effects on the low-energy observables where we observe stronger bounds than in the standard setup.

16.021881

17.595234

19.80621

16.409929

16.475979

17.10317

16.754644

16.894014

15.390279

16.644882

16.63648

16.192533

16.352713

16.267057

16.331591

16.788113

15.903703

16.480089

15.894773

15.8075

15.680899

hep-th/0606107

Jose M. Gracia-Bondia

Hidden symmetry and Hopf algebra

For the volume celebrating Jose Carinena's contributions to mathematical physics, with occasion of his 60th birthday; 10 pages

null

hep-th

null

We spell two conundrums, one of physical and another of mathematical nature, and explain why one helps to elucidate the other

[ { "created": "Mon, 12 Jun 2006 15:54:41 GMT", "version": "v1" } ]

2007-05-23

[ [ "Gracia-Bondia", "Jose M.", "" ] ]

We spell two conundrums, one of physical and another of mathematical nature, and explain why one helps to elucidate the other

35.265957

23.128323

25.921368

17.549976

18.539843

19.474442

18.719345

19.97855

19.520523

28.039818

20.097738

21.563442

21.467947

21.819273

21.013483

21.214495

21.576702

20.874866

21.115238

21.631994

22.066952

2108.02228

Jacob McNamara

Gravitational Solitons and Completeness

8 pages, 5 figures

null

hep-th

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

We show that gravitational solitons naturally carry gauge charges beyond those of any local quantum field. The effect of these charged excitations is to break a non-invertible symmetry to its maximal group-like sub-symmetry. Taking these charges into account, we show that the Completeness Hypothesis follows from the breaking of the remaining group-like symmetry. We generalize this picture to an arbitrary semisimple tensor category of particle charges, showing that the charges of gravitational solitons form the adjoint subcategory. We discuss a further generalization involving the charges of extended objects.

[ { "created": "Wed, 4 Aug 2021 18:09:45 GMT", "version": "v1" } ]

2021-08-06

[ [ "McNamara", "Jacob", "" ] ]

We show that gravitational solitons naturally carry gauge charges beyond those of any local quantum field. The effect of these charged excitations is to break a non-invertible symmetry to its maximal group-like sub-symmetry. Taking these charges into account, we show that the Completeness Hypothesis follows from the breaking of the remaining group-like symmetry. We generalize this picture to an arbitrary semisimple tensor category of particle charges, showing that the charges of gravitational solitons form the adjoint subcategory. We discuss a further generalization involving the charges of extended objects.

16.569613

15.040453

17.297741

16.462229

17.451353

15.976641

14.765327

14.270855

15.746074

19.452545

14.673114

14.856992

15.92742

14.579094

15.307681

15.513316

15.883718

14.733907

15.017335

17.087334

15.416302

hep-th/0602261

Nuno Dias

Nuno Costa Dias, Joao Nuno Prata

Exact master equation for a noncommutative Brownian particle

Latex file, 28 pages, Published version

Annals Phys.324:73-96,2009

10.1016/j.aop.2008.04.009

null

hep-th

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

We derive the Hu-Paz-Zhang master equation for a Brownian particle linearly coupled to a bath of harmonic oscillators on the plane with spatial noncommutativity. The results obtained are exact to all orders in the noncommutative parameter. As a by-product we derive some miscellaneous results such as the equilibrium Wigner distribution for the reservoir of noncommutative oscillators, the weak coupling limit of the master equation and a set of sufficient conditions for strict purity decrease of the Brownian particle. Finally, we consider a high-temperature Ohmic model and obtain an estimate for the time scale of the transition from noncommutative to ordinary quantum mechanics. This scale is considerably smaller than the decoherence scale.

[ { "created": "Fri, 24 Feb 2006 17:11:00 GMT", "version": "v1" }, { "created": "Sun, 12 Jul 2009 22:09:29 GMT", "version": "v2" } ]

2009-07-13

[ [ "Dias", "Nuno Costa", "" ], [ "Prata", "Joao Nuno", "" ] ]

We derive the Hu-Paz-Zhang master equation for a Brownian particle linearly coupled to a bath of harmonic oscillators on the plane with spatial noncommutativity. The results obtained are exact to all orders in the noncommutative parameter. As a by-product we derive some miscellaneous results such as the equilibrium Wigner distribution for the reservoir of noncommutative oscillators, the weak coupling limit of the master equation and a set of sufficient conditions for strict purity decrease of the Brownian particle. Finally, we consider a high-temperature Ohmic model and obtain an estimate for the time scale of the transition from noncommutative to ordinary quantum mechanics. This scale is considerably smaller than the decoherence scale.

8.759727

8.172073

10.631535

7.86696

9.237431

8.356491

8.612603

8.49233

8.48302

9.708626

7.927079

8.196806

9.783517

9.06203

9.146099

8.795971

8.68518

8.443484

9.260041

9.575308

8.419357

1501.02000

Rafael Augusto Couceiro Correa

R. A. C. Correa, Roldao da Rocha, and A. de Souza Dutra

Information-Entropic for Travelling Solitons in Lorentz and CPT Breaking Systems

null

Ann. Phys. 359 (2015) 198

10.1016/j.aop.2015.04.027

null

hep-th

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

In this work we group three research topics apparently disconnected, namely solitons, Lorentz symmetry breaking and entropy. Following a recent work [Phys. Lett. B 713 (2012) 304], we show that it is possible to construct in the context of travelling wave solutions a configurational entropy measure in functional space, from the field configurations. Thus, we investigate the existence and properties of travelling solitons in Lorentz and CPT breaking scenarios for a class of models with two interacting scalar fields. Here, we obtain a complete set of exact solutions for the model studied which display both double and single-kink configurations. In fact, such models are very important in applications that include Bloch branes, Skyrmions, Yang-Mills, Q-balls, oscillons and various superstring-motivated theories. We find that the so-called Configurational Entropy (CE) for travelling solitons, which we name as travelling Configurational Entropy (TCE), shows that the best value of parameter responsible to break the Lorentz symmetry is one where the energy density is distributed equally around the origin. In this way, the information-theoretical measure of travelling solitons in Lorentz symmetry violation scenarios opens a new window to probe situations where the parameters responsible for breaking the symmetries are random. In this case, the TCE selects the best value.

[ { "created": "Thu, 8 Jan 2015 23:07:42 GMT", "version": "v1" }, { "created": "Sun, 8 Feb 2015 00:09:06 GMT", "version": "v2" } ]

2015-05-25

[ [ "Correa", "R. A. C.", "" ], [ "da Rocha", "Roldao", "" ], [ "Dutra", "A. de Souza", "" ] ]

In this work we group three research topics apparently disconnected, namely solitons, Lorentz symmetry breaking and entropy. Following a recent work [Phys. Lett. B 713 (2012) 304], we show that it is possible to construct in the context of travelling wave solutions a configurational entropy measure in functional space, from the field configurations. Thus, we investigate the existence and properties of travelling solitons in Lorentz and CPT breaking scenarios for a class of models with two interacting scalar fields. Here, we obtain a complete set of exact solutions for the model studied which display both double and single-kink configurations. In fact, such models are very important in applications that include Bloch branes, Skyrmions, Yang-Mills, Q-balls, oscillons and various superstring-motivated theories. We find that the so-called Configurational Entropy (CE) for travelling solitons, which we name as travelling Configurational Entropy (TCE), shows that the best value of parameter responsible to break the Lorentz symmetry is one where the energy density is distributed equally around the origin. In this way, the information-theoretical measure of travelling solitons in Lorentz symmetry violation scenarios opens a new window to probe situations where the parameters responsible for breaking the symmetries are random. In this case, the TCE selects the best value.

9.644409

10.109645

11.097318

10.251119

9.820826

9.51713

9.708621

9.611708

9.751805

12.091722

9.785516

9.591426

10.371798

9.767104

9.636197

9.65818

9.806875

9.720322

9.702094

10.292674

9.734975

0705.3871

S. Q. Wu

Qing-Quan Jiang, Shuang-Qing Wu, Xu Cai

Anomalies and de Sitter radiation from the generic black holes in de Sitter spaces

14 pages without figure, use elsart.cls, to appear in Phys.Lett.B

Phys.Lett.B651:65-70,2007

10.1016/j.physletb.2007.06.003

null

hep-th gr-qc

null

Robinson-Wilczek's recent work shows that, the energy momentum tensor flux required to cancel gravitational anomaly at the event horizon of a Schwarzschild-type black hole has an equivalent form to that of a (1+1)-dimensional blackbody radiation at the Hawking temperature. Motivated by their work, Hawking radiation from the cosmological horizons of the general Schwarzschild-de Sitter and Kerr-de Sitter black holes, has been studied by the method of anomaly cancellation. The result shows that the absorbing gauge current and energy momentum tensor fluxes required to cancel gauge and gravitational anomalies at the cosmological horizon are precisely equal to those of Hawking radiation from it. It should be emphasized that the effective field theory for generic black holes in de Sitter spaces should be formulated within the region between the event horizon (EH) and the cosmological horizon (CH), to integrate out the classically irrelevant ingoing modes at the EH and the classically irrelevant outgoing modes at the CH, respectively.

[ { "created": "Sat, 26 May 2007 04:00:49 GMT", "version": "v1" } ]

2008-11-26

[ [ "Jiang", "Qing-Quan", "" ], [ "Wu", "Shuang-Qing", "" ], [ "Cai", "Xu", "" ] ]

Robinson-Wilczek's recent work shows that, the energy momentum tensor flux required to cancel gravitational anomaly at the event horizon of a Schwarzschild-type black hole has an equivalent form to that of a (1+1)-dimensional blackbody radiation at the Hawking temperature. Motivated by their work, Hawking radiation from the cosmological horizons of the general Schwarzschild-de Sitter and Kerr-de Sitter black holes, has been studied by the method of anomaly cancellation. The result shows that the absorbing gauge current and energy momentum tensor fluxes required to cancel gauge and gravitational anomalies at the cosmological horizon are precisely equal to those of Hawking radiation from it. It should be emphasized that the effective field theory for generic black holes in de Sitter spaces should be formulated within the region between the event horizon (EH) and the cosmological horizon (CH), to integrate out the classically irrelevant ingoing modes at the EH and the classically irrelevant outgoing modes at the CH, respectively.

8.668012

8.235411

8.217144

7.059958

7.528912

7.390004

7.041368

6.694468

7.206307

8.83885

7.104051

7.5065

7.829784

7.375772

7.729211

7.570596

7.506211

7.45074

7.232369

7.988376

7.864775

1006.4667

Todd Springer

Todd Springer, Charles Gale, Sangyong Jeon and Su Houng Lee

A shear spectral sum rule in a non-conformal gravity dual

13 pages, 3 figures. v5: Typos in Eq. (60) fixed. v4: References added, matches published version. v3: Minor typographical corrections. v2: References and some discussion in Appendix A have been added; conclusions unchanged

Phys.Rev.D82:106005,2010

10.1103/PhysRevD.82.106005

YITP-10-50

hep-th hep-ph nucl-th

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

A sum rule which relates a stress-energy tensor correlator to thermodynamic functions is examined within the context of a simple non-conformal gravity dual. Such a sum rule was previously derived using AdS/CFT for conformal $\mathcal{N} = 4$ Supersymmetric Yang-Mills theory, but we show that it does not generalize to the non-conformal theory under consideration. We provide a generalized sum rule and numerically verify its validity. A useful byproduct of the calculation is the computation of the spectral density in a strongly coupled non-conformal theory. Qualitative features of the spectral densities and implications for lattice measurements of transport coefficients are discussed.

[ { "created": "Thu, 24 Jun 2010 00:58:48 GMT", "version": "v1" }, { "created": "Fri, 30 Jul 2010 16:00:21 GMT", "version": "v2" }, { "created": "Wed, 10 Nov 2010 15:12:27 GMT", "version": "v3" }, { "created": "Fri, 19 Nov 2010 16:24:48 GMT", "version": "v4" }, { "created": "Mon, 17 Jan 2011 17:20:15 GMT", "version": "v5" } ]

2011-01-18

[ [ "Springer", "Todd", "" ], [ "Gale", "Charles", "" ], [ "Jeon", "Sangyong", "" ], [ "Lee", "Su Houng", "" ] ]

A sum rule which relates a stress-energy tensor correlator to thermodynamic functions is examined within the context of a simple non-conformal gravity dual. Such a sum rule was previously derived using AdS/CFT for conformal $\mathcal{N} = 4$ Supersymmetric Yang-Mills theory, but we show that it does not generalize to the non-conformal theory under consideration. We provide a generalized sum rule and numerically verify its validity. A useful byproduct of the calculation is the computation of the spectral density in a strongly coupled non-conformal theory. Qualitative features of the spectral densities and implications for lattice measurements of transport coefficients are discussed.

6.964145

6.744092

6.727782

6.44858

6.840145

6.799284

6.792576

6.707827

6.751513

6.941532

6.433777

6.498799

6.69627

6.493848

6.545161

6.467352

6.501502

6.512158

6.394014

6.852457

6.430345

1907.05430

Fiona Seibold

Fiona K. Seibold

Two-parameter integrable deformations of the $AdS_3 \times S^3 \times T^4$ superstring

32 pages, 2 figures, published version

null

10.1007/JHEP10(2019)049

null

hep-th

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

For supercosets with isometry group of the form $\hat{G} \times \hat{G}$, the eta-deformation can be generalised to a two-parameter integrable deformation with independent $q$-deformations of the two copies. We study its kappa-symmetry and write down a formula for the Ramond-Ramond fluxes. We then focus on $\hat{G}= PSU(1,1|2)$ and construct two supergravity backgrounds for the two-parameter integrable deformation of the $AdS_3 \times S^3 \times T^4$ superstring, as well as explore their limits. We also construct backgrounds that are solutions of the weaker generalised supergravity equations of motion and compare them to the literature.

[ { "created": "Thu, 11 Jul 2019 18:00:44 GMT", "version": "v1" }, { "created": "Mon, 29 Jul 2019 17:37:14 GMT", "version": "v2" }, { "created": "Tue, 22 Oct 2019 15:40:21 GMT", "version": "v3" } ]

2019-10-23

[ [ "Seibold", "Fiona K.", "" ] ]

For supercosets with isometry group of the form $\hat{G} \times \hat{G}$, the eta-deformation can be generalised to a two-parameter integrable deformation with independent $q$-deformations of the two copies. We study its kappa-symmetry and write down a formula for the Ramond-Ramond fluxes. We then focus on $\hat{G}= PSU(1,1|2)$ and construct two supergravity backgrounds for the two-parameter integrable deformation of the $AdS_3 \times S^3 \times T^4$ superstring, as well as explore their limits. We also construct backgrounds that are solutions of the weaker generalised supergravity equations of motion and compare them to the literature.

8.041171

6.65288

9.667246

6.276808

6.967794

6.534451

6.377617

6.416115

6.480999

10.228515

6.745244

6.643473

7.667319

6.447622

6.555111

6.832541

6.545313

6.581419

6.467514

7.392018

6.607053

hep-th/9905116

Igor Shovkovy

G. W. Semenoff, I. A. Shovkovy and L. C. R. Wijewardhana

Universality and the magnetic catalysis of chiral symmetry breaking

24 pages, 6 figures, REVTeX. The final version with minor corrections. To appear in Phys Rev D60 (1999)

Phys.Rev. D60 (1999) 105024

10.1103/PhysRevD.60.105024

UCTP-107-99

hep-th cond-mat hep-ph

null

The hypothesis that the magnetic catalysis of chiral symmetry breaking is due to interactions of massless fermions in their lowest Landau level is examined in the context of chirally symmetric models with short ranged interactions. It is argued that, when the magnetic field is sufficiently large, even an infinitesimal attractive interaction in the appropriate channel will break chiral symmetry.

[ { "created": "Mon, 17 May 1999 14:40:52 GMT", "version": "v1" }, { "created": "Tue, 14 Sep 1999 18:29:29 GMT", "version": "v2" } ]

2009-10-31

[ [ "Semenoff", "G. W.", "" ], [ "Shovkovy", "I. A.", "" ], [ "Wijewardhana", "L. C. R.", "" ] ]

The hypothesis that the magnetic catalysis of chiral symmetry breaking is due to interactions of massless fermions in their lowest Landau level is examined in the context of chirally symmetric models with short ranged interactions. It is argued that, when the magnetic field is sufficiently large, even an infinitesimal attractive interaction in the appropriate channel will break chiral symmetry.

8.107245

7.060495

7.303883

7.041297

8.228955

8.12091

8.373852

7.603724

7.243893

6.302701

7.691179

7.791502

7.950957

7.556297

7.873557

8.205573

7.951413

7.831073

7.585699

7.230996

7.825478

1911.02594

Bruno Gimenez Umbert

Freddy Cachazo, Bruno Umbert and Yong Zhang

Singular Solutions in Soft Limits

27 + 7 pages, 14 figures, v2: added reference and cross-list with math.co

null

10.1007/JHEP05(2020)148

null

hep-th math-ph math.CO math.MP

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

A generalization of the scattering equations on $X(2,n)$, the configuration space of $n$ points on $\mathbb{CP}^1$, to higher dimensional projective spaces was recently introduced by Early, Guevara, Mizera, and one of the authors. One of the new features in $X(k,n)$ with $k>2$ is the presence of both regular and singular solutions in a soft limit. In this work we study soft limits in $X(3,7)$, $X(4,7)$, $X(3,8)$ and $X(5,8)$, find all singular solutions, and show their geometrical configurations. More explicitly, for $X(3,7)$ and $X(4,7)$ we find $180$ and $120$ singular solutions which when added to the known number of regular solutions both give rise to $1\, 272$ solutions as it is expected since $X(3,7)\sim X(4,7)$. Likewise, for $X(3,8)$ and $X(5,8)$ we find $59\, 640$ and $58\, 800$ singular solutions which when added to the regular solutions both give rise to $188\, 112$ solutions. We also propose a classification of all configurations that can support singular solutions for general $X(k,n)$ and comment on their contribution to soft expansions of generalized biadjoint amplitudes.

[ { "created": "Wed, 6 Nov 2019 19:09:46 GMT", "version": "v1" }, { "created": "Tue, 24 Mar 2020 16:33:49 GMT", "version": "v2" } ]

2020-06-24

[ [ "Cachazo", "Freddy", "" ], [ "Umbert", "Bruno", "" ], [ "Zhang", "Yong", "" ] ]

A generalization of the scattering equations on $X(2,n)$, the configuration space of $n$ points on $\mathbb{CP}^1$, to higher dimensional projective spaces was recently introduced by Early, Guevara, Mizera, and one of the authors. One of the new features in $X(k,n)$ with $k>2$ is the presence of both regular and singular solutions in a soft limit. In this work we study soft limits in $X(3,7)$, $X(4,7)$, $X(3,8)$ and $X(5,8)$, find all singular solutions, and show their geometrical configurations. More explicitly, for $X(3,7)$ and $X(4,7)$ we find $180$ and $120$ singular solutions which when added to the known number of regular solutions both give rise to $1\, 272$ solutions as it is expected since $X(3,7)\sim X(4,7)$. Likewise, for $X(3,8)$ and $X(5,8)$ we find $59\, 640$ and $58\, 800$ singular solutions which when added to the regular solutions both give rise to $188\, 112$ solutions. We also propose a classification of all configurations that can support singular solutions for general $X(k,n)$ and comment on their contribution to soft expansions of generalized biadjoint amplitudes.

5.386912

5.179169

5.682898

5.075818

5.103357

5.32027

5.191206

5.175493

5.214937

6.0782

4.939863

5.024477

5.182559

4.937073

5.172173

5.235315

4.944458

5.091539

4.951163

5.155029

4.936995

hep-th/9806191

Andrew Erich Teschendorff

G. Papadopoulos and A. Teschendorff

Multi-angle Five-Brane Intersections

18 pages,phyzzx; reference added; version to appear in PLB

Phys.Lett.B443:159-166,1998

10.1016/S0370-2693(98)01295-7

DAMTP-R/98/22

hep-th

null

We find new solutions of IIA supergravity which have the interpretation of intersecting NS-5-branes at $Sp(2)$-angles on a string preserving at least 3/32 of supersymmetry. We show that the relative position of every pair of NS-5-branes involved in the superposition is determined by four angles. In addition we explore the related configurations in IIB strings and M-theory.

[ { "created": "Tue, 23 Jun 1998 14:13:02 GMT", "version": "v1" }, { "created": "Tue, 13 Oct 1998 19:32:21 GMT", "version": "v2" } ]

2009-10-09

[ [ "Papadopoulos", "G.", "" ], [ "Teschendorff", "A.", "" ] ]

We find new solutions of IIA supergravity which have the interpretation of intersecting NS-5-branes at $Sp(2)$-angles on a string preserving at least 3/32 of supersymmetry. We show that the relative position of every pair of NS-5-branes involved in the superposition is determined by four angles. In addition we explore the related configurations in IIB strings and M-theory.

16.873104

11.340878

19.077747

12.082059

15.505089

12.440301

12.860074

11.350348

12.411073

17.923328

11.682137

12.502015

14.625052

13.013486

13.311459

12.593688

12.444255

12.776521

13.064257

14.188154

12.353879

0901.1267

Andreas Fring

Paulo E.G. Assis and Andreas Fring

Compactons versus Solitons

4 pages

Pramana 74:857-865,2010

10.1007/s12043-010-0078-8

null

hep-th nlin.SI

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

We investigate whether the recently proposed PT-symmetric extensions of generalized Korteweg-de Vries equations admit genuine soliton solutions besides compacton solitary waves. For models which admit stable compactons having a width which is independent of their amplitude and those which possess unstable compacton solutions the Painleve test fails, such that no soliton solutions can be found. The Painleve test is passed for models allowing for compacton solutions whose width is determined by their amplitude. Consequently these models admit soliton solutions in addition to compactons and are integrable.

[ { "created": "Fri, 9 Jan 2009 16:19:41 GMT", "version": "v1" } ]

2011-04-07

[ [ "Assis", "Paulo E. G.", "" ], [ "Fring", "Andreas", "" ] ]

We investigate whether the recently proposed PT-symmetric extensions of generalized Korteweg-de Vries equations admit genuine soliton solutions besides compacton solitary waves. For models which admit stable compactons having a width which is independent of their amplitude and those which possess unstable compacton solutions the Painleve test fails, such that no soliton solutions can be found. The Painleve test is passed for models allowing for compacton solutions whose width is determined by their amplitude. Consequently these models admit soliton solutions in addition to compactons and are integrable.

9.559049

9.770999

9.221833

8.861019

9.151434

9.001966

9.058348

9.640053

9.080167

10.671202

8.708869

8.323166

8.762365

8.482893

8.049469

8.328021

8.462752

8.606893

8.654014

9.20644

8.246266

1412.3878

Giancarlo Camilo

Giancarlo Camilo, Bertha Cuadros-Melgar, Elcio Abdalla

Holographic thermalization with a chemical potential from Born-Infeld electrodynamics

29 pages, 11 figures; V2: references added, version published in JHEP

JHEP 02 (2015) 103

10.1007/JHEP02(2015)103

null

hep-th hep-ph

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

The problem of holographic thermalization in the framework of Einstein gravity coupled to Born-Infeld nonlinear electrodynamics is investigated. We use equal time two-point correlation functions and expectation values of Wilson loop operators in the boundary quantum field theory as probes of thermalization, which have dual gravity descriptions in terms of geodesic lengths and minimal area surfaces in the bulk spacetime. The full range of values of the chemical potential per temperature ratio on the boundary is explored. The numerical results show that the effect of the charge on the thermalization time is similar to the one obtained with Maxwell electrodynamics, namely the larger the charge the later thermalization occurs. The inverse Born-Infeld parameter, on the other hand, has the opposite effect: the more nonlinear the theory is, the sooner it thermalizes. We also study the thermalization velocity and how the parameters affect the phase transition point separating the thermalization process into an accelerating phase and a decelerating phase.

[ { "created": "Fri, 12 Dec 2014 03:39:50 GMT", "version": "v1" }, { "created": "Mon, 23 Feb 2015 15:46:42 GMT", "version": "v2" } ]

2015-02-24

[ [ "Camilo", "Giancarlo", "" ], [ "Cuadros-Melgar", "Bertha", "" ], [ "Abdalla", "Elcio", "" ] ]

The problem of holographic thermalization in the framework of Einstein gravity coupled to Born-Infeld nonlinear electrodynamics is investigated. We use equal time two-point correlation functions and expectation values of Wilson loop operators in the boundary quantum field theory as probes of thermalization, which have dual gravity descriptions in terms of geodesic lengths and minimal area surfaces in the bulk spacetime. The full range of values of the chemical potential per temperature ratio on the boundary is explored. The numerical results show that the effect of the charge on the thermalization time is similar to the one obtained with Maxwell electrodynamics, namely the larger the charge the later thermalization occurs. The inverse Born-Infeld parameter, on the other hand, has the opposite effect: the more nonlinear the theory is, the sooner it thermalizes. We also study the thermalization velocity and how the parameters affect the phase transition point separating the thermalization process into an accelerating phase and a decelerating phase.

6.975288

6.738825

7.975405

6.313054

6.78967

6.766725

6.895486

6.402405

6.825304

7.638292

6.555805

6.743351

7.077644

6.866902

6.84089

6.733566

6.942063

6.642408

6.994772

7.006733

6.904558

1608.07909

Chon-Man Sou

Junyu Liu, Chon-Man Sou and Yi Wang

Cosmic Decoherence: Massive Fields

26 pages, 3 figures; added references and corrected typos

JHEP 1610 (2016) 072

10.1007/JHEP10(2016)072

null

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

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

We study the decoherence of massive fields during inflation based on the Zurek's density matrix approach. With the cubic interaction between inflaton and massive fields, the reduced density matrix for the massive fields can be calculated in the Schr\"odinger picture which is related to the variance of the non-Gaussian exponent in the wave functional. The decoherence rate is computed in the one-loop form from functional integration. For heavy fields with $m\gtrsim \mathcal{O}(H)$, quantum fluctuations will easily stay in the quantum state and decoherence is unlikely. While for light fields with mass smaller than $\mathcal{O}(H)$, quantum fluctuations are easily decohered within $5\sim10$ e-folds after Hubble crossing. Thus heavy fields can play a key role in studying problems involving inflationary quantum information.

[ { "created": "Mon, 29 Aug 2016 04:06:43 GMT", "version": "v1" }, { "created": "Wed, 7 Sep 2016 15:54:48 GMT", "version": "v2" } ]

2016-10-24

[ [ "Liu", "Junyu", "" ], [ "Sou", "Chon-Man", "" ], [ "Wang", "Yi", "" ] ]

We study the decoherence of massive fields during inflation based on the Zurek's density matrix approach. With the cubic interaction between inflaton and massive fields, the reduced density matrix for the massive fields can be calculated in the Schr\"odinger picture which is related to the variance of the non-Gaussian exponent in the wave functional. The decoherence rate is computed in the one-loop form from functional integration. For heavy fields with $m\gtrsim \mathcal{O}(H)$, quantum fluctuations will easily stay in the quantum state and decoherence is unlikely. While for light fields with mass smaller than $\mathcal{O}(H)$, quantum fluctuations are easily decohered within $5\sim10$ e-folds after Hubble crossing. Thus heavy fields can play a key role in studying problems involving inflationary quantum information.

8.939138

8.694828

9.334369

8.560294

8.959178

8.634553

8.752866

9.031672

8.523663

10.020509

8.956223

8.496593

8.804336

8.57224

8.628048

8.682612

8.593057

8.437557

8.283796

8.400307

8.522897

1010.4448

Nele Vandersickel

N. Vandersickel, D. Dudal, O. Oliveira, S.P. Sorella

From propagators to glueballs in the Gribov-Zwanziger framework

3 pages, Conference contribution for Confinement IX, Madrid 2010 (30/08-03/09), to appear in American Institute of Physics (AIP)

AIP Conf.Proc.1343:155-157,2011

10.1063/1.3574961

null

hep-th

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

Over the last years, lattice calculations in pure Yang-Mills gauge theory seem to have come more or less to a consensus. The ghost propagator is not enhanced and the gluon propagator is positivity violating, infrared suppressed and non-vanishing at zero momentum. From an analytical point of view, several groups are agreeing with these results. Among them, the refined Gribov-Zwanziger (RGZ) framework also accommodates for these results. The question which rises next is, if our models hold the right form for the propagators, how to extract information on the real physical observables, i.e. the glueballs? How do the operators which represent glueballs look like? We review the current status of this matter within the RGZ framework.

[ { "created": "Thu, 21 Oct 2010 12:08:29 GMT", "version": "v1" } ]

2011-06-15

[ [ "Vandersickel", "N.", "" ], [ "Dudal", "D.", "" ], [ "Oliveira", "O.", "" ], [ "Sorella", "S. P.", "" ] ]

Over the last years, lattice calculations in pure Yang-Mills gauge theory seem to have come more or less to a consensus. The ghost propagator is not enhanced and the gluon propagator is positivity violating, infrared suppressed and non-vanishing at zero momentum. From an analytical point of view, several groups are agreeing with these results. Among them, the refined Gribov-Zwanziger (RGZ) framework also accommodates for these results. The question which rises next is, if our models hold the right form for the propagators, how to extract information on the real physical observables, i.e. the glueballs? How do the operators which represent glueballs look like? We review the current status of this matter within the RGZ framework.

11.296052

12.147826

11.98755

10.877844

12.001702

12.573785

11.416537

11.192257

10.364883

12.201126

10.956854

10.057275

10.378189

10.199312

10.359343

10.406874

10.113538

10.778975

9.947598

10.437761

10.702386

hep-th/9210087

Falceto

F. Falceto, K. Gaw\c{e}dzki (IHES, France)

Chern-Simons Theory on the Torus

4 pages

null

hep-th

null

We compute explicitly the Schr\"odinger picture space of states of SU(2) Chern-Simons theory on $T^2\times R$ in the presence of temporal Wilson lines. Relation with Friedan-Shenker bundle of conformal field theory and the existence of a projective flat connection on this bundle is discussed. Talk given by the first author at the XIX International Colloquium on Group Theoretical Methods in Physics, Salamanca (Spain), June 29-July 4, 1992

[ { "created": "Fri, 16 Oct 1992 11:54:54 GMT", "version": "v1" } ]

2007-05-23

[ [ "Falceto", "F.", "", "IHES, France" ], [ "Gawȩdzki", "K.", "", "IHES, France" ] ]

We compute explicitly the Schr\"odinger picture space of states of SU(2) Chern-Simons theory on $T^2\times R$ in the presence of temporal Wilson lines. Relation with Friedan-Shenker bundle of conformal field theory and the existence of a projective flat connection on this bundle is discussed. Talk given by the first author at the XIX International Colloquium on Group Theoretical Methods in Physics, Salamanca (Spain), June 29-July 4, 1992

7.31615

5.499876

7.590167

5.891994

5.896096

6.221587

6.144967

5.558481

6.049978

8.219693

5.850403

6.268995

6.959712

6.226701

6.341274

6.372603

6.027508

6.300566

6.265938

6.609121

6.06232

hep-th/9506027

Dick Madden

Nemanja Kaloper, Richard Madden and Keith A. Olive

Towards a Singularity-Free Inflationary Universe?

11 pages, latex, eight uuencoded ps figures included, replaced abstract in text

Nucl.Phys.B452:677-704,1995

10.1016/0550-3213(95)00398-C

UMN-TH-1333/95;McGill 95-17

hep-th astro-ph gr-qc hep-ph

null

We consider the problem of constructing a non-singular inflationary universe in stringy gravity via branch changing, from a previously superexponentially expanding phase to an FRW-like phase. Our approach is based on the phase space analysis of the dynamics, and we obtain a no-go theorem which rules out the efficient scenario of branch changing catalyzed by dilaton potential and stringy fluid sources. We furthermore consider the effects of string-loop corrections to the gravitational action in the form recently suggested by Damour and Polyakov. These corrections also fail to produce the desired branch change. However, focusing on the possibility that these corrections may decouple the dilaton, we deduce that they may lead to an inflationary expansion in the presence of a cosmological constant, which asymptotically approaches Einstein-deSitter solution.

[ { "created": "Mon, 5 Jun 1995 19:12:34 GMT", "version": "v1" }, { "created": "Tue, 6 Jun 1995 19:30:07 GMT", "version": "v2" } ]

2009-09-15

[ [ "Kaloper", "Nemanja", "" ], [ "Madden", "Richard", "" ], [ "Olive", "Keith A.", "" ] ]

We consider the problem of constructing a non-singular inflationary universe in stringy gravity via branch changing, from a previously superexponentially expanding phase to an FRW-like phase. Our approach is based on the phase space analysis of the dynamics, and we obtain a no-go theorem which rules out the efficient scenario of branch changing catalyzed by dilaton potential and stringy fluid sources. We furthermore consider the effects of string-loop corrections to the gravitational action in the form recently suggested by Damour and Polyakov. These corrections also fail to produce the desired branch change. However, focusing on the possibility that these corrections may decouple the dilaton, we deduce that they may lead to an inflationary expansion in the presence of a cosmological constant, which asymptotically approaches Einstein-deSitter solution.

12.622474

13.243168

11.756351

11.719176

11.565733

11.233925

13.075425

11.136057

11.938863

11.526982

12.487731

11.911565

11.588384

11.691935

11.655627

11.424303

11.887222

11.33327

12.075212

11.266004

11.811575

0909.2275

Olivera Miskovic

Olivera Miskovic and Rodrigo Olea

Background-independent charges in Topologically Massive Gravity

23 pages; appendix and a few references added; final version for JHEP

JHEP 0912:046,2009

10.1088/1126-6708/2009/12/046

AEI-2009-091

hep-th gr-qc

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

We construct background-independent Noether charges in Topologically Massive Gravity with negative cosmological constant using its first-order formulation. The procedure is carried out by keeping track of the surface terms in the variation of the action, regardless the value of the gravitational Chern-Simons coupling $\mu$. In particular, this method provides a definition of conserved quantities for solutions at the chiral point $\mu l = 1$ ($l$ is the AdS radius) that contain logarithmic terms (Log Gravity). It is also shown that the charge formula gives a finite result for warped AdS black holes without the need for any background-substraction procedure.

[ { "created": "Fri, 11 Sep 2009 21:23:31 GMT", "version": "v1" }, { "created": "Tue, 24 Nov 2009 21:30:03 GMT", "version": "v2" } ]

2009-12-17

[ [ "Miskovic", "Olivera", "" ], [ "Olea", "Rodrigo", "" ] ]

We construct background-independent Noether charges in Topologically Massive Gravity with negative cosmological constant using its first-order formulation. The procedure is carried out by keeping track of the surface terms in the variation of the action, regardless the value of the gravitational Chern-Simons coupling $\mu$. In particular, this method provides a definition of conserved quantities for solutions at the chiral point $\mu l = 1$ ($l$ is the AdS radius) that contain logarithmic terms (Log Gravity). It is also shown that the charge formula gives a finite result for warped AdS black holes without the need for any background-substraction procedure.

8.2649

7.309635

8.637875

7.268284

7.045172

7.007013

6.988221

7.442671

7.488324

9.502178

7.225606

7.499725

7.978837

7.797779

8.198688

7.861423

7.620379

7.858981

7.899483

7.967352

7.516083

hep-th/0612291

Peter Matlock

N. D. Hari Dass, Peter Matlock

Field Definitions, Spectrum and Universality in Effective String Theories

26 pages

null

Sokendai-HKTK/061203

hep-th

null

It is shown, by explicit calculation, that the third-order terms in inverse string length in the spectrum of the effective string theories of Polchinski and Strominger are also the same as in Nambu-Goto theory, in addition to the universal Luescher terms. While the Nambu-Goto theory is inconsistent outside the critical dimension, the Polchinski-Strominger theory is by construction consistent for any space-time dimension. In the analysis of the spectrum, care is taken not to use any field redefinition, as it is felt that this has the potential to obscure important points. Nevertheless, as field redefinition is an important tool and the definition of the field should be made precise, a careful analysis of the choice of field definition leading to the terms in the action is also presented. Further, it is shown how a choice of field definition can be made in a systematic way at higher orders. To this end the transformation of measure involved is calculated, in the context of effective string theory, and thereby a quantum evaluation made of equivalence of theories related by a field redefinition. It is found that there are interesting possibilities resulting from a redefinition of fluctuation field.

[ { "created": "Thu, 28 Dec 2006 20:40:23 GMT", "version": "v1" } ]

2007-05-23

[ [ "Dass", "N. D. Hari", "" ], [ "Matlock", "Peter", "" ] ]

It is shown, by explicit calculation, that the third-order terms in inverse string length in the spectrum of the effective string theories of Polchinski and Strominger are also the same as in Nambu-Goto theory, in addition to the universal Luescher terms. While the Nambu-Goto theory is inconsistent outside the critical dimension, the Polchinski-Strominger theory is by construction consistent for any space-time dimension. In the analysis of the spectrum, care is taken not to use any field redefinition, as it is felt that this has the potential to obscure important points. Nevertheless, as field redefinition is an important tool and the definition of the field should be made precise, a careful analysis of the choice of field definition leading to the terms in the action is also presented. Further, it is shown how a choice of field definition can be made in a systematic way at higher orders. To this end the transformation of measure involved is calculated, in the context of effective string theory, and thereby a quantum evaluation made of equivalence of theories related by a field redefinition. It is found that there are interesting possibilities resulting from a redefinition of fluctuation field.

11.349592

10.470358

11.379397

10.377828

10.50793

11.203467

10.966746

10.528016

10.445304

12.483344

9.985253

11.2579

11.206045

10.924263

11.026217

10.968389

10.932272

11.224845

11.046271

11.213478

10.723898

0706.0485

Benjamin Shlaer

Adam R. Brown, Saswat Sarangi, Benjamin Shlaer, Amanda Weltman

A Wrinkle in Coleman - De Luccia

4 pages, 2 figures, changes made to 'including gravity' section

Phys.Rev.Lett.99:161601,2007

10.1103/PhysRevLett.99.161601

null

hep-th astro-ph gr-qc

null

Stringy effects on vacuum transitions are shown to include surprisingly large decay rates through very high potential barriers. This simple, yet counter-intuitive result will drastically modify the measure on the landscape of string vacua.

[ { "created": "Mon, 4 Jun 2007 17:18:07 GMT", "version": "v1" }, { "created": "Tue, 19 Jun 2007 22:06:27 GMT", "version": "v2" } ]

2008-11-26

[ [ "Brown", "Adam R.", "" ], [ "Sarangi", "Saswat", "" ], [ "Shlaer", "Benjamin", "" ], [ "Weltman", "Amanda", "" ] ]

Stringy effects on vacuum transitions are shown to include surprisingly large decay rates through very high potential barriers. This simple, yet counter-intuitive result will drastically modify the measure on the landscape of string vacua.

42.189236

34.519543

32.451511

27.206329

32.464645

36.550396

29.889112

29.246952

28.221378

35.572784

30.540556

30.343559

31.09144

30.267599

30.261185

30.767475

30.150898

31.062233

31.424301

32.300144

28.269218

hep-th/9505016

Fosco Cesar Daniel

C. D. Fosco and S. Randjbar-Daemi

Determinant of twisted chiral Dirac Operator on the Lattice

9 pages, no figures. Error in the derivation of the non-holomorphic piece corrected

Phys.Lett. B354 (1995) 383-388

10.1016/0370-2693(95)00599-G

null

hep-th hep-lat

null

Using the overlap formulation, we calculate the fermionic determinant on the lattice for chiral fermions with twisted boundary conditions in two dimensions. When the lattice spacing tends to zero we recover the results of the usual string-theory continuum calculations.

[ { "created": "Tue, 2 May 1995 14:46:27 GMT", "version": "v1" }, { "created": "Thu, 4 May 1995 14:42:17 GMT", "version": "v2" }, { "created": "Tue, 4 Jul 1995 09:44:12 GMT", "version": "v3" } ]

2009-10-28

[ [ "Fosco", "C. D.", "" ], [ "Randjbar-Daemi", "S.", "" ] ]

Using the overlap formulation, we calculate the fermionic determinant on the lattice for chiral fermions with twisted boundary conditions in two dimensions. When the lattice spacing tends to zero we recover the results of the usual string-theory continuum calculations.

13.3034

9.993164

12.281386

8.911964

10.820862

8.847967

10.694678

9.83827

10.304305

11.409114

9.23566

9.563156

10.255835

9.338723

9.370496

9.317531

9.491603

9.704708

9.329047

11.355666

9.646951

1312.0731

Meng-Sen Ma

Meng-Sen Ma, Hui-Hua Zhao, Li-Chun Zhang, Ren Zhao

Existence condition and phase transition of Reissner-Nordstr\"{o}m-de Sitter black hole

12 pages, 18 figures

Int. J. Mod. Phys. A 29, 1450050 (2014)

10.1142/S0217751X1450050X

null

hep-th

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

After introducing the connection between the black hole horizon and the cosmological horizon, we discuss the thermodynamic properties of Reissner-Nordstrom-de Sitter (RN-dS) spacetime. We present the condition under which RN-dS black hole can exist. Employing Ehrenfest' classification we conclude that the phase transition of RN-dS black hole is the second-order one. The position of the phase transition point is irrelevant to the electric charge of the system. It only depends on the ratio of the black hole horizon and the cosmological horizon.

[ { "created": "Tue, 3 Dec 2013 08:48:18 GMT", "version": "v1" }, { "created": "Thu, 5 Dec 2013 08:44:53 GMT", "version": "v2" } ]

2014-04-11

[ [ "Ma", "Meng-Sen", "" ], [ "Zhao", "Hui-Hua", "" ], [ "Zhang", "Li-Chun", "" ], [ "Zhao", "Ren", "" ] ]

After introducing the connection between the black hole horizon and the cosmological horizon, we discuss the thermodynamic properties of Reissner-Nordstrom-de Sitter (RN-dS) spacetime. We present the condition under which RN-dS black hole can exist. Employing Ehrenfest' classification we conclude that the phase transition of RN-dS black hole is the second-order one. The position of the phase transition point is irrelevant to the electric charge of the system. It only depends on the ratio of the black hole horizon and the cosmological horizon.

5.808992

5.427458

5.260368

5.127295

5.445968

4.944382

5.300203

4.933612

5.07827

5.467174

5.733422

5.55684

5.350852

5.279728

5.184191

5.310191

5.243479

5.418272

5.368845

5.331607

5.27701

1809.01915

Soumangsu Chakraborty Mr

Soumangsu Chakraborty

Wilson loop in a $T\bar{T}$ like deformed $\rm{CFT}_2$

19 pages, 7 figures

null

10.1016/j.nuclphysb.2018.12.003

null

hep-th

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

In this paper we study string theory in the background $\mathcal{M}_3$ that interpolates between $AdS_3$ in the IR and linear dilaton spacetime $\mathbb{R}^{1,1}\times\mathbb{R}_\phi$ in the UV. Via holographic duality this background corresponds to $\rm{CFT}_2$ deformed by a dimension $(2,2)$ operator. Here we discuss the holographic Wilson loop in such a model and shed more light in support of the non-local structure of the theory (Little String Theory (LST)) in the UV. We also discuss quantum and thermal phase transitions of the boundary theory.

[ { "created": "Thu, 6 Sep 2018 10:28:53 GMT", "version": "v1" }, { "created": "Wed, 12 Sep 2018 07:14:58 GMT", "version": "v2" } ]

2018-12-26

[ [ "Chakraborty", "Soumangsu", "" ] ]

In this paper we study string theory in the background $\mathcal{M}_3$ that interpolates between $AdS_3$ in the IR and linear dilaton spacetime $\mathbb{R}^{1,1}\times\mathbb{R}_\phi$ in the UV. Via holographic duality this background corresponds to $\rm{CFT}_2$ deformed by a dimension $(2,2)$ operator. Here we discuss the holographic Wilson loop in such a model and shed more light in support of the non-local structure of the theory (Little String Theory (LST)) in the UV. We also discuss quantum and thermal phase transitions of the boundary theory.

7.900914

5.947206

8.490335

6.465893

6.524119

6.653196

6.435681

6.355527

6.563894

8.654936

6.453685

6.771475

7.625008

6.928456

6.997408

7.04434

6.956591

6.958517

6.981366

7.571211

6.893391

2103.10597

Daichi Takeda

Hiroyuki Hata and Daichi Takeda

Interior Product, Lie Derivative and Wilson Line in the $KBc$ Subsector of Open String Field Theory

22 pages, 1 figure. version to appear in JHEP

null

10.1007/JHEP07(2021)117

KUNS-2861

hep-th

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

The open string field theory of Witten (SFT) has a close formal similarity with Chern-Simons theory in three dimensions. This similarity is due to the fact that the former theory has concepts corresponding to forms, exterior derivative, wedge product and integration over the manifold. In this paper, we introduce the interior product and the Lie derivative in the $KBc$ subsector of SFT. The interior product in SFT is specified by a two-component "tangent vector" and lowers the ghost number by one (like the ordinary interior product maps a $p$-form to $(p-1)$-form). The Lie derivative in SFT is defined as the anti-commutator of the interior product and the BRST operator. The important property of these two operations is that they respect the $KBc$ algebra. Deforming the original $(K,B,c)$ by using the Lie derivative, we can consider an infinite copies of the $KBc$ algebra, which we call the $KBc$ manifold. As an application, we construct the Wilson line on the manifold, which could play a role in reproducing degenerate fluctuation modes around a multi-brane solution.

[ { "created": "Fri, 19 Mar 2021 02:24:45 GMT", "version": "v1" }, { "created": "Wed, 24 Mar 2021 01:33:33 GMT", "version": "v2" }, { "created": "Fri, 16 Jul 2021 15:22:31 GMT", "version": "v3" } ]

2021-08-04

[ [ "Hata", "Hiroyuki", "" ], [ "Takeda", "Daichi", "" ] ]

The open string field theory of Witten (SFT) has a close formal similarity with Chern-Simons theory in three dimensions. This similarity is due to the fact that the former theory has concepts corresponding to forms, exterior derivative, wedge product and integration over the manifold. In this paper, we introduce the interior product and the Lie derivative in the $KBc$ subsector of SFT. The interior product in SFT is specified by a two-component "tangent vector" and lowers the ghost number by one (like the ordinary interior product maps a $p$-form to $(p-1)$-form). The Lie derivative in SFT is defined as the anti-commutator of the interior product and the BRST operator. The important property of these two operations is that they respect the $KBc$ algebra. Deforming the original $(K,B,c)$ by using the Lie derivative, we can consider an infinite copies of the $KBc$ algebra, which we call the $KBc$ manifold. As an application, we construct the Wilson line on the manifold, which could play a role in reproducing degenerate fluctuation modes around a multi-brane solution.

7.499904

8.053562

8.207696

7.321648

8.017884

7.744274

7.92538

7.549291

7.747971

8.699058

7.331472

7.186303

7.489983

7.287713

7.249095

7.342402

7.225261

7.106402

7.215367

7.244937

7.068786

2112.04082

Robert Brandenberger

String Cosmology and the Breakdown of Local Effective Field Theory

Invited talk at the workshop "Quantum Gravity, Higher Derivatives and Nonlocality", March 9 - 13 2021; 12 pages

null

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

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

Most current cosmological models of the very early universe are based on local point particle effective field theories coupled to gravity. I will discuss some conceptual limitations of this approach and argue that an improved description of the early universe needs to go beyond this framework. I will outline a couple of ideas based on superstring theory.

[ { "created": "Wed, 8 Dec 2021 02:08:13 GMT", "version": "v1" } ]

2021-12-09

[ [ "Brandenberger", "Robert", "" ] ]

Most current cosmological models of the very early universe are based on local point particle effective field theories coupled to gravity. I will discuss some conceptual limitations of this approach and argue that an improved description of the early universe needs to go beyond this framework. I will outline a couple of ideas based on superstring theory.

10.949533

8.54975

9.810301

9.233437

10.725884

8.925245

9.292515

9.002358

9.205728

10.367661

9.740025

8.832307

9.220778

9.260817

9.104038

8.841096

9.044455

9.381628

9.369694

9.314667

10.394216

2009.06730

Kenneth Heitritter

Samuel Brensinger, Kenneth Heitritter, Vincent Rodgers, Kory Stiffler

General structure of Thomas$-$Whitehead gravity

52 pages. Made revisions for acceptance to the journal Physical Review D

Phys. Rev. D 103, 044060 (2021)

10.1103/PhysRevD.103.044060

null

hep-th gr-qc

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

Thomas-Whitehead (TW) gravity is a projectively invariant model of gravity over a d-dimensional manifold that is intimately related to string theory through reparameterization invariance. Unparameterized geodesics are the ubiquitous structure that ties together string theory and higher dimensional gravitation. This is realized through the projective geometry of Tracy Thomas. The projective connection, due to Thomas and later Whitehead, admits a component that in one dimension is in one-to-one correspondence with the coadjoint elements of the Virasoro algebra. This component is called the diffeomorphism field $\mathcal{D}_{ab }$ in the literature. It also has been shown that in four dimensions, the TW\ action collapses to the Einstein-Hilbert action with cosmological constant when $\mathcal{D}_{ab}$ is proportional to the Einstein metric. These previous results have been restricted to either particular metrics, such as the Polyakov 2D\ metric, or were restricted to coordinates that were volume preserving. In this paper, we review TW gravity and derive the gauge invariant TW action that is explicitly projectively invariant and general coordinate invariant. We derive the covariant field equations for the TW action and show how fermionic fields couple to the gauge invariant theory. The independent fields are the metric tensor $g_{ab}$, the fundamental projective invariant $\Pi^{a}_{\,\,\,bc}$, and the diffeomorphism field $\mathcal D_{ab}$.

[ { "created": "Mon, 14 Sep 2020 20:35:36 GMT", "version": "v1" }, { "created": "Mon, 16 Nov 2020 01:27:52 GMT", "version": "v2" }, { "created": "Fri, 22 Jan 2021 21:19:40 GMT", "version": "v3" } ]

2021-03-03

[ [ "Brensinger", "Samuel", "" ], [ "Heitritter", "Kenneth", "" ], [ "Rodgers", "Vincent", "" ], [ "Stiffler", "Kory", "" ] ]

Thomas-Whitehead (TW) gravity is a projectively invariant model of gravity over a d-dimensional manifold that is intimately related to string theory through reparameterization invariance. Unparameterized geodesics are the ubiquitous structure that ties together string theory and higher dimensional gravitation. This is realized through the projective geometry of Tracy Thomas. The projective connection, due to Thomas and later Whitehead, admits a component that in one dimension is in one-to-one correspondence with the coadjoint elements of the Virasoro algebra. This component is called the diffeomorphism field $\mathcal{D}_{ab }$ in the literature. It also has been shown that in four dimensions, the TW\ action collapses to the Einstein-Hilbert action with cosmological constant when $\mathcal{D}_{ab}$ is proportional to the Einstein metric. These previous results have been restricted to either particular metrics, such as the Polyakov 2D\ metric, or were restricted to coordinates that were volume preserving. In this paper, we review TW gravity and derive the gauge invariant TW action that is explicitly projectively invariant and general coordinate invariant. We derive the covariant field equations for the TW action and show how fermionic fields couple to the gauge invariant theory. The independent fields are the metric tensor $g_{ab}$, the fundamental projective invariant $\Pi^{a}_{\,\,\,bc}$, and the diffeomorphism field $\mathcal D_{ab}$.

10.752075

10.554511

10.690676

9.916531

10.306278

10.744794

10.691588

9.623661

10.114733

11.713106

9.954896

9.974179

9.897053

9.900932

9.977638

10.080871

9.938018

9.863569

10.176406

10.115528

9.817873

hep-th/9412110

Sanjaye Ramgoolam

Wilson Loops in 2D Yang Mills: Euler characters and Loop equations

55 pages, harvmac, 35 figures

Int.J.Mod.Phys. A11 (1996) 3885-3933

10.1142/S0217751X96001838

YCTP-P17-94

hep-th

null

We give a simple diagrammatic algorithm for writing the chiral large $N$ expansion of intersecting Wilson loops in $2D$ $SU(N)$ and $U(N) $Yang Mills theory in terms of symmetric groups, generalizing the result of Gross and Taylor for partition functions. We prove that these expansions compute Euler characters of a space of holomorphic maps from string worldsheets with boundaries. We prove that the Migdal-Makeenko equations hold for the chiral theory and show that they can be expressed as linear constraints on perturbations of the chiral $YM2$ partition functions. We briefly discuss finite $N$ , the non-chiral expansion, and higher dimensional lattice models.

[ { "created": "Tue, 13 Dec 1994 00:51:37 GMT", "version": "v1" } ]

2015-06-26

[ [ "Ramgoolam", "Sanjaye", "" ] ]

We give a simple diagrammatic algorithm for writing the chiral large $N$ expansion of intersecting Wilson loops in $2D$ $SU(N)$ and $U(N) $Yang Mills theory in terms of symmetric groups, generalizing the result of Gross and Taylor for partition functions. We prove that these expansions compute Euler characters of a space of holomorphic maps from string worldsheets with boundaries. We prove that the Migdal-Makeenko equations hold for the chiral theory and show that they can be expressed as linear constraints on perturbations of the chiral $YM2$ partition functions. We briefly discuss finite $N$ , the non-chiral expansion, and higher dimensional lattice models.

13.031219

11.535522

17.212393

12.345747

11.541075

11.748736

12.415349

11.711067

12.013653

17.158575

12.499289

12.055986

14.173247

12.317675

12.155883

11.945733

11.789969

12.481492

11.982709

13.706646

12.284124

hep-th/9305079

null

A.Losev, I.Polyubin

On Connection between Topological Landau-Ginzburg Gravity and Integrable Systems

17 p. latex

Int.J.Mod.Phys. A10 (1995) 4161

10.1142/S0217751X95001923

null

hep-th

null

We study flows on the space of topological Landau-Ginzburg theories coupled to topological gravity. We argue that flows corresponding to gravitational descendants change the target space from a complex plane to a punctured complex plane and lead to the motion of punctures.It is shown that the evolution of the topological theory due to these flows is given by dispersionless limit of KP hierarchy. We argue that the generating function of correlators in such theories are equal to the logarithm of the tau-function of Generalized Kontsevich Model.

[ { "created": "Tue, 18 May 1993 17:22:06 GMT", "version": "v1" } ]

2015-06-26

[ [ "Losev", "A.", "" ], [ "Polyubin", "I.", "" ] ]

We study flows on the space of topological Landau-Ginzburg theories coupled to topological gravity. We argue that flows corresponding to gravitational descendants change the target space from a complex plane to a punctured complex plane and lead to the motion of punctures.It is shown that the evolution of the topological theory due to these flows is given by dispersionless limit of KP hierarchy. We argue that the generating function of correlators in such theories are equal to the logarithm of the tau-function of Generalized Kontsevich Model.

10.828873

9.89765

11.552725

9.664001

9.597512

10.488751

9.949794

9.909404

9.931116

10.229816

9.883306

9.82137

10.383948

9.263966

9.902827

10.056155

9.569623

9.546916

9.783677

10.269654

9.560248

hep-th/0307091

Bo Feng

Ruth Britto, Bo Feng, Soo-Jong Rey

Non(anti)commutative Superspace, UV/IR Mixing & Open Wilson Lines

20 pages, 1 figure; V2: references added

JHEP 0308:001,2003

10.1088/1126-6708/2003/08/001

SNUST-030701

hep-th

null

We study quantum aspects of field theories defined on N=1/2 superspace, where both bosonic and fermionic coordinates are made non(anti)commutative. We compute the one-loop effective superpotential, and we find that planar and nonplanar contributions exhibit markedly different behavior. Planar diagrams yield an effective superpotential proportional to N_c \Phi \log \Phi. For nonplanar diagrams, we show that ultraviolet-infrared mixing takes place and explain why some nonplanar diagrams are ultraviolet-divergent when bosonic noncommutativity is turned off. Each nonplanar diagram is not expressible as a star product of background fields, but, once resummed appropriately, they are expressed as a star product involving open Wilson lines in superspace. The open Wilson lines are responsible for ultraviolet-infrared mixing. We comment on an intriguing relation of our result to the Dijkgraaf-Vafa correspondence between gauge theories and matrix models.

[ { "created": "Wed, 9 Jul 2003 18:53:15 GMT", "version": "v1" }, { "created": "Wed, 16 Jul 2003 00:30:27 GMT", "version": "v2" } ]

2014-11-18

[ [ "Britto", "Ruth", "" ], [ "Feng", "Bo", "" ], [ "Rey", "Soo-Jong", "" ] ]

We study quantum aspects of field theories defined on N=1/2 superspace, where both bosonic and fermionic coordinates are made non(anti)commutative. We compute the one-loop effective superpotential, and we find that planar and nonplanar contributions exhibit markedly different behavior. Planar diagrams yield an effective superpotential proportional to N_c \Phi \log \Phi. For nonplanar diagrams, we show that ultraviolet-infrared mixing takes place and explain why some nonplanar diagrams are ultraviolet-divergent when bosonic noncommutativity is turned off. Each nonplanar diagram is not expressible as a star product of background fields, but, once resummed appropriately, they are expressed as a star product involving open Wilson lines in superspace. The open Wilson lines are responsible for ultraviolet-infrared mixing. We comment on an intriguing relation of our result to the Dijkgraaf-Vafa correspondence between gauge theories and matrix models.

8.190578

7.915697

9.064899

7.429256

7.88327

7.608584

7.604132

7.209966

7.619685

8.870661

7.555231

7.510567

8.231673

7.585548

7.766058

7.719241

7.662742

7.487503

7.845077

8.430354

7.591464

hep-th/9209024

Tim Hollowood

Timothy Hollowood

Quantum Soliton Mass Corrections in SL(N) Affine Toda Theory

14 pages

Phys.Lett. B300 (1993) 73-83

10.1016/0370-2693(93)90751-3

OUTP-92-19P

hep-th

null

The first quantum mass corrections for the solitons of complex $sl(n)$ affine Toda field theory are calculated. The corrections are real and preserve the classical mass ratios. The formalism also proves that the solitons are classically stable.

[ { "created": "Tue, 8 Sep 1992 13:24:22 GMT", "version": "v1" } ]

2009-10-22

[ [ "Hollowood", "Timothy", "" ] ]

The first quantum mass corrections for the solitons of complex $sl(n)$ affine Toda field theory are calculated. The corrections are real and preserve the classical mass ratios. The formalism also proves that the solitons are classically stable.

17.780041

10.682744

16.262428

12.02048

12.176245

11.231916

10.009789

11.905006

11.817766

18.119965

11.269905

12.792595

14.975078

12.905683

12.732912

13.318407

12.738818

12.412706

13.249267

15.199212

12.783961

0806.4780

Francois Englert

Francois Englert and Laurent Houart

The emergence of fermions and the E11 content

22 pages, 7 figures. Presented at the conference held on the occasion of Claudio Bunster's 60th birthday

null

10.1007/978-0-387-87499-9_9

ULB-TH/08-21

hep-th

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

Claudio's warm and endearing personality adds to our admiration for his achievements in physics a sense of friendliness. His constant interest in fundamental questions motivated the following presentation of our attempt to understand the nature of fermions. This problem is an essential element of the quantum world and might be related to the quest for quantum gravity. We shall review how space-time fermions can emerge out of bosons in string theory and how this fact affects the extended Kac-Moody approach to the M-theory project.

[ { "created": "Sun, 29 Jun 2008 19:35:51 GMT", "version": "v1" } ]

2015-05-13

[ [ "Englert", "Francois", "" ], [ "Houart", "Laurent", "" ] ]

Claudio's warm and endearing personality adds to our admiration for his achievements in physics a sense of friendliness. His constant interest in fundamental questions motivated the following presentation of our attempt to understand the nature of fermions. This problem is an essential element of the quantum world and might be related to the quest for quantum gravity. We shall review how space-time fermions can emerge out of bosons in string theory and how this fact affects the extended Kac-Moody approach to the M-theory project.

24.156603

23.528494

21.928986

21.164434

22.536606

22.826799

25.013689

24.230545

20.995747

27.309971

20.730215

19.979689

20.87631

19.891823

19.762762

21.804823

20.582922

20.774073

20.74485

21.364656

21.575657

1905.06561

Crucean Cosmin

Mihaela-Andreea B\u{a}loi, Diana Popescu and Cosmin Crucean

Total probability and number of particles for fermion production in external electric and magnetic fields in de Sitter universe

31 pages, 20 figures

null

10.1016/j.nuclphysb.2020.115032

null

hep-th

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

In this paper we present a method for computing the total probability corresponding to the processes of fermion pair production in dipole magnetic field and external Coulomb field in a de Sitter geometry. For that we rewrite the functions that define the amplitudes in terms of oscillatory functions and we use the Taylor expansion of these functions for arriving at the final form of the momenta integrals. The total probability is analysed in terms of the ratio between the mass of the fermion and expansion parameter and we recover the Minkowski limit when the expansion parameter is vanishing. Finally it is proven that from our results we can compute the number of fermions in terms of expansion parameter.

[ { "created": "Thu, 16 May 2019 07:09:42 GMT", "version": "v1" }, { "created": "Mon, 22 Jul 2019 12:35:02 GMT", "version": "v2" } ]

2020-06-24

[ [ "Băloi", "Mihaela-Andreea", "" ], [ "Popescu", "Diana", "" ], [ "Crucean", "Cosmin", "" ] ]

In this paper we present a method for computing the total probability corresponding to the processes of fermion pair production in dipole magnetic field and external Coulomb field in a de Sitter geometry. For that we rewrite the functions that define the amplitudes in terms of oscillatory functions and we use the Taylor expansion of these functions for arriving at the final form of the momenta integrals. The total probability is analysed in terms of the ratio between the mass of the fermion and expansion parameter and we recover the Minkowski limit when the expansion parameter is vanishing. Finally it is proven that from our results we can compute the number of fermions in terms of expansion parameter.

12.064828

11.667411

10.738123

10.091071

11.539941

11.386535

10.579581

10.049626

11.482264

10.165901

11.522907

10.671078

10.474714

10.462674

10.669414

10.919401

10.931341

10.354685

10.903056

10.407802

11.207095

0903.4782

Shunichiro Kinoshita

Shunichiro Kinoshita and Shinji Mukohyama

Thermodynamic and dynamical stability of Freund-Rubin compactification

15 pages, 5 figures, REVTeX4; version accepted for publication in JCAP

null

10.1088/1475-7516/2009/06/020

UTAP-611, RESCEU-7/09, IPMU-09-0031

hep-th gr-qc

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

We investigate stability of two branches of Freund-Rubin compactification from thermodynamic and dynamical perspectives. Freund-Rubin compactification allows not only trivial solutions but also warped solutions describing warped product of external de Sitter space and internal deformed sphere. We study dynamical stability by analyzing linear perturbations around solutions in each branch. Also we study thermodynamic stability based on de Sitter entropy. We show complete agreement of thermodynamic and dynamical stabilities of this system. Finally, we interpret the results in terms of effective energy density in the four-dimensional Einstein frame and discuss cosmological implications.

[ { "created": "Fri, 27 Mar 2009 12:07:16 GMT", "version": "v1" }, { "created": "Thu, 18 Jun 2009 14:11:26 GMT", "version": "v2" } ]

2015-05-13

[ [ "Kinoshita", "Shunichiro", "" ], [ "Mukohyama", "Shinji", "" ] ]

We investigate stability of two branches of Freund-Rubin compactification from thermodynamic and dynamical perspectives. Freund-Rubin compactification allows not only trivial solutions but also warped solutions describing warped product of external de Sitter space and internal deformed sphere. We study dynamical stability by analyzing linear perturbations around solutions in each branch. Also we study thermodynamic stability based on de Sitter entropy. We show complete agreement of thermodynamic and dynamical stabilities of this system. Finally, we interpret the results in terms of effective energy density in the four-dimensional Einstein frame and discuss cosmological implications.

10.994348

10.278683

11.058372

9.876883

9.680972

10.815837

10.549125

10.150661

9.696669

12.460423

9.48884

9.902951

10.026976

10.054776

10.187843

10.309891

9.988179

9.703545

10.271255

9.904028

9.695591