LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/0002208

Klaus Rothe

A.A. Actor and K.D. Rothe

Thermal Quantum Fields in Static Electromagnetic Backgrounds

22 pages

J.Phys.A33:4585-4598,2000

10.1088/0305-4470/33/25/302

HD-THEP-00-10

hep-th

null

We present and discuss, at a general level, new mathematical results on the spatial nonuniformity of thermal quantum fields coupled minimally to static background electromagnetic potentials. Two distinct examples are worked through in some detail: uniform (parallel and perpendicular) background electric and magnetic fields coupled to a thermal quantum scalar field.

[ { "created": "Thu, 24 Feb 2000 16:33:30 GMT", "version": "v1" } ]

2008-11-26

[ [ "Actor", "A. A.", "" ], [ "Rothe", "K. D.", "" ] ]

We present and discuss, at a general level, new mathematical results on the spatial nonuniformity of thermal quantum fields coupled minimally to static background electromagnetic potentials. Two distinct examples are worked through in some detail: uniform (parallel and perpendicular) background electric and magnetic fields coupled to a thermal quantum scalar field.

17.727589

19.230663

19.049017

18.30542

20.820484

19.020666

19.772093

17.387081

16.479008

18.620575

15.586347

17.417604

17.248932

17.175909

16.766537

17.134321

16.654362

17.130121

16.82077

16.174826

16.265919

hep-th/9411063

Geoffrey Dixon

Octonion X-Product and E8 Lattices

8 pages, latex, no figures

null

BRX TH-364

hep-th

null

In this episode, it is shown how the octonion X-product is related to E8 lattices, integral domains, sphere fibrations, and other neat stuff.

[ { "created": "Wed, 9 Nov 1994 15:16:00 GMT", "version": "v1" } ]

2007-05-23

[ [ "Dixon", "Geoffrey", "" ] ]

In this episode, it is shown how the octonion X-product is related to E8 lattices, integral domains, sphere fibrations, and other neat stuff.

37.938339

30.413025

29.095285

26.024534

27.753498

26.113026

35.851223

25.138182

27.944582

38.080956

27.63847

33.116131

36.794571

34.731075

32.774059

33.542175

35.178005

32.248268

34.778954

35.226463

33.320663

hep-th/9904159

Carlos A. S. Almeida

F. A. S. Nobre and C. A. S. Almeida (Departamento de Fisica-UFC-Brazil)

Pauli's Term and Fractional Spin

7 pages, no figures. To appear in Physics Letters B

Phys.Lett. B455 (1999) 213-216

10.1016/S0370-2693(99)00475-X

null

hep-th

null

In this work we consider an Abelian Chern-Simons-Higgs model coupled non-minimally to matter fields. This coupling is implemented by means of a Pauli-type coupling. We show that the Pauli term is sufficient to gives rise to fractional spin.

[ { "created": "Fri, 23 Apr 1999 13:11:09 GMT", "version": "v1" } ]

2016-09-06

[ [ "Nobre", "F. A. S.", "", "Departamento de\n Fisica-UFC-Brazil" ], [ "Almeida", "C. A. S.", "", "Departamento de\n Fisica-UFC-Brazil" ] ]

In this work we consider an Abelian Chern-Simons-Higgs model coupled non-minimally to matter fields. This coupling is implemented by means of a Pauli-type coupling. We show that the Pauli term is sufficient to gives rise to fractional spin.

9.608777

6.293438

8.675237

6.363599

7.04481

6.977473

6.297665

6.309413

6.270559

8.79152

6.551861

6.542973

7.79809

6.843705

6.768244

6.696532

6.552642

6.867887

6.887043

7.787238

6.780077

hep-th/9607100

Connie Jones

S. G. Rajeev

Non--trivial Fixed Point in Four Dimensional Scalar Field Theory and the Higgs Mass

9 pages, LaTeX

null

hep-th hep-ph

null

We show, using the large $N$ limit, that there is a non--trivial scale invariant action for four dimensional scalar field theory. We investigate the possibility that the scalar sector of the standard model of particle physics has such a scale invariant action, with scale invariance being spontaneously broken by the vacuum expectation value of the scalar. This leads to a prediction for the mass of the lightest massive scalar particle (the Higgs particle) to be $5.4$ Tev.

[ { "created": "Fri, 12 Jul 1996 17:44:52 GMT", "version": "v1" } ]

2007-05-23

[ [ "Rajeev", "S. G.", "" ] ]

We show, using the large $N$ limit, that there is a non--trivial scale invariant action for four dimensional scalar field theory. We investigate the possibility that the scalar sector of the standard model of particle physics has such a scale invariant action, with scale invariance being spontaneously broken by the vacuum expectation value of the scalar. This leads to a prediction for the mass of the lightest massive scalar particle (the Higgs particle) to be $5.4$ Tev.

6.934881

6.011874

6.329869

6.004469

6.366207

6.507711

5.812819

6.309877

6.208838

7.233748

6.105163

6.216004

6.464574

6.282738

6.281645

6.386914

6.204523

6.003931

6.215456

6.561494

6.197401

2208.02773

Friedemann Brandt

4D supersymmetric gauge theories of spacetime translations

32 pages; v2: corrected typos, improvements of text; v3: 33 pages, matches published version; v4: 36 pages, takes account of erratum and addendum to published version, changes particularly at end of section 3 and of abstract and conclusion, new section 5; v5: corrected text in last paragraph of section 2, added remark at end of section 4.1, some superfluous text removed

JHEP 10 (2022) 021, JHEP 02 (2023) 035 (erratum), JHEP 02 (2023) 047 (addendum)

10.1007/JHEP10(2022)021

null

hep-th gr-qc

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

The paper addresses the question whether in four spacetime dimensions, besides standard supergravity theories, field theories exist whose symmetries include local spacetime translations and supersymmetries generated by transformations whose commutators contain infinitesimal local spacetime translations. It is shown that, up to local field redefinitions, there is a unique class of such supersymmetric field theories satisfying specified prerequisites which particularly concern the field content of the theories. The theories of this class have global supersymmetry and are similar to globally supersymmetric Yang-Mills theories.

[ { "created": "Thu, 4 Aug 2022 17:04:53 GMT", "version": "v1" }, { "created": "Sun, 7 Aug 2022 18:33:34 GMT", "version": "v2" }, { "created": "Thu, 6 Oct 2022 08:16:54 GMT", "version": "v3" }, { "created": "Mon, 20 Feb 2023 15:49:53 GMT", "version": "v4" }, { "created": "Mon, 9 Oct 2023 14:46:45 GMT", "version": "v5" } ]

2023-10-10

[ [ "Brandt", "Friedemann", "" ] ]

The paper addresses the question whether in four spacetime dimensions, besides standard supergravity theories, field theories exist whose symmetries include local spacetime translations and supersymmetries generated by transformations whose commutators contain infinitesimal local spacetime translations. It is shown that, up to local field redefinitions, there is a unique class of such supersymmetric field theories satisfying specified prerequisites which particularly concern the field content of the theories. The theories of this class have global supersymmetry and are similar to globally supersymmetric Yang-Mills theories.

10.648648

10.461365

9.64773

8.961004

10.24634

9.382355

9.266248

9.908239

9.263347

10.18977

9.015593

9.257999

9.408321

9.333906

9.454947

9.364184

9.353724

9.236534

9.295586

9.532544

9.448367

hep-th/9505013

Mark Burgess

Chern-Simons vortices in an open system

To appear in phys rev D15

Phys.Rev. D52 (1995) 1165-1168

10.1103/PhysRevD.52.1165

null

hep-th cond-mat

null

A gauge invariant quantum field theory with a spacetime dependent Chern-Simons coefficient is studied. Using a constraint formalism together with the Schwinger action principle it is shown that non-zero gradients in the coefficient induce magnetic-moment corrections to the Hall current and transform vortex singularities into non-local objects. The fundamental commutator for the density fluctuations is obtained from the action principle and the Hamiltonian of the Chern-Simons field is shown to vanish only under the restricted class of variations which satisfy the gauge invariance constraint.

[ { "created": "Tue, 2 May 1995 13:40:05 GMT", "version": "v1" } ]

2009-10-28

[ [ "Burgess", "Mark", "" ] ]

A gauge invariant quantum field theory with a spacetime dependent Chern-Simons coefficient is studied. Using a constraint formalism together with the Schwinger action principle it is shown that non-zero gradients in the coefficient induce magnetic-moment corrections to the Hall current and transform vortex singularities into non-local objects. The fundamental commutator for the density fluctuations is obtained from the action principle and the Hamiltonian of the Chern-Simons field is shown to vanish only under the restricted class of variations which satisfy the gauge invariance constraint.

15.442366

15.631786

16.334454

14.08904

14.73839

15.478883

14.428562

16.130659

13.821747

18.320362

15.696893

13.496737

15.101224

13.862858

13.898977

13.591594

13.938806

14.375337

13.538183

14.490847

13.982272

hep-th/0011075

Jan Louis

Michael Haack, Jan Louis and Monika Marquart

Type IIA and Heterotic String Vacua in D=2

27 pages, changed referencing and made small changes

Nucl.Phys.B598:30-56,2001

10.1016/S0550-3213(00)00786-0

null

hep-th

null

We study type IIA string theory compactified on Calabi-Yau fourfolds and heterotic string theory compactified on Calabi-Yau threefolds times a two-torus. We derive the resulting effective theories which have two space-time dimensions and preserve four supercharges. The duality between such vacua is established at the level of the effective theory. For type IIA vacua with non-trivial Ramond-Ramond background fluxes a superpotential is generated. We show that for a specific choice of background fluxes and a fourfold which has the structure of a threefold fibred over a sphere the superpotential coincides with the superpotential recently proposed by Taylor and Vafa in compactifications of type IIB string theory on a threefold.

[ { "created": "Thu, 9 Nov 2000 18:49:26 GMT", "version": "v1" }, { "created": "Mon, 20 Nov 2000 16:55:51 GMT", "version": "v2" } ]

2010-12-03

[ [ "Haack", "Michael", "" ], [ "Louis", "Jan", "" ], [ "Marquart", "Monika", "" ] ]

We study type IIA string theory compactified on Calabi-Yau fourfolds and heterotic string theory compactified on Calabi-Yau threefolds times a two-torus. We derive the resulting effective theories which have two space-time dimensions and preserve four supercharges. The duality between such vacua is established at the level of the effective theory. For type IIA vacua with non-trivial Ramond-Ramond background fluxes a superpotential is generated. We show that for a specific choice of background fluxes and a fourfold which has the structure of a threefold fibred over a sphere the superpotential coincides with the superpotential recently proposed by Taylor and Vafa in compactifications of type IIB string theory on a threefold.

5.749062

4.953225

6.319448

4.986402

5.47316

5.403055

5.454359

5.643397

5.161216

6.464831

5.13097

5.512863

5.725267

5.41571

5.385756

5.216955

5.439861

5.295584

5.359127

5.767397

5.381763

hep-th/9510056

Vladimir Dzhunushaliev

V.D.Dzhunushaliev

The Meson Model on the Basis of the String Solution of the Heisenberg Equation

Latex, 7 pages, 1 fig. Minimal corrections

null

hep-th

null

The axially symmetric non-local solution in the Heisenberg equation is found. It is regular in the whole space and has the finite energy on the unit of length according to this we may consider the solution as a string. Taking the non-local spherically symmetric solution, which was found by Finkelstein et. al., and our solution in account we suggest to consider the Heisenberg equation as a quantum equation for non-local objects (strings, flux tubes, membranes and so on). The received solution is used for the obtaining the meson model as a rotating string with the quark on its ends.

[ { "created": "Mon, 9 Oct 1995 10:10:45 GMT", "version": "v1" }, { "created": "Wed, 11 Oct 1995 10:33:05 GMT", "version": "v2" }, { "created": "Tue, 17 Oct 1995 10:37:35 GMT", "version": "v3" }, { "created": "Fri, 20 Oct 1995 04:48:11 GMT", "version": "v4" } ]

2008-02-03

[ [ "Dzhunushaliev", "V. D.", "" ] ]

The axially symmetric non-local solution in the Heisenberg equation is found. It is regular in the whole space and has the finite energy on the unit of length according to this we may consider the solution as a string. Taking the non-local spherically symmetric solution, which was found by Finkelstein et. al., and our solution in account we suggest to consider the Heisenberg equation as a quantum equation for non-local objects (strings, flux tubes, membranes and so on). The received solution is used for the obtaining the meson model as a rotating string with the quark on its ends.

15.212384

14.736391

13.024765

13.961479

14.896511

12.742846

13.287371

13.242639

12.980475

13.990808

13.435445

13.874297

14.059562

13.64844

14.093935

13.564932

14.319839

13.491484

13.698427

12.981581

13.836214

0710.1904

Tomoi Koide

T. Koide and T. Kodama

Relativistic generalization of Brownian Motion

11 pages, no figures, elsart.cls

null

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

null

The relativistic generalization of the Brownian motion is discussed. We show that the transformation property of the noise term is determined by requiring for the equilibrium distribution function to be Lorentz invariant, such as the J\"uttner distribution function. It is shown that this requirement generates an entanglement between the force term and the noise so that the noise itself should not be a covariant quantity.

[ { "created": "Wed, 10 Oct 2007 01:57:08 GMT", "version": "v1" } ]

2007-10-11

[ [ "Koide", "T.", "" ], [ "Kodama", "T.", "" ] ]

The relativistic generalization of the Brownian motion is discussed. We show that the transformation property of the noise term is determined by requiring for the equilibrium distribution function to be Lorentz invariant, such as the J\"uttner distribution function. It is shown that this requirement generates an entanglement between the force term and the noise so that the noise itself should not be a covariant quantity.

10.206877

8.817002

7.851692

8.90044

9.477951

8.451189

9.421618

8.102555

8.664023

9.26872

8.946889

8.934591

8.646951

8.829863

8.940309

8.849562

8.642767

9.05273

8.816848

8.724051

8.433744

hep-th/9110073

J. Goeree

Jan de Boer and Jacob Goeree

The Covariant W_3 Action

14 pages

Phys. Lett. B274 (1992) 289-297

10.1016/0370-2693(92)91988-L

null

hep-th

null

Starting from SL(3,R) Chern-Simons theory we derive the covariant action for W_3 gravity.

[ { "created": "Wed, 30 Oct 1991 15:23:53 GMT", "version": "v1" } ]

2009-10-22

[ [ "de Boer", "Jan", "" ], [ "Goeree", "Jacob", "" ] ]

Starting from SL(3,R) Chern-Simons theory we derive the covariant action for W_3 gravity.

15.927613

6.523092

9.829599

6.869832

5.970774

6.188009

7.357143

7.419724

6.231292

9.989394

6.801054

8.129996

11.12175

8.148954

8.280041

8.416234

7.992453

7.93259

7.787694

10.627934

8.855752

2312.00179

Roberto Maluf

Fernando M. Belchior and Roberto V. Maluf

Duality between the Maxwell-Chern-Simons and self-dual models in very special relativity

16 pages

null

hep-th

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

This work aims to investigate the classical-level duality between the $SIM(1)$-Maxwell-Chern-Simons (MCS) model and its self-dual counterpart. Initially, our focus is on free-field cases to establish equivalence through two distinct approaches: comparing the equations of motion and utilizing the master Lagrangian method. In both instances, the classical correspondence between the self-dual field and the MCS dual field undergoes modifications due to very special relativity (VSR). Specifically, duality is established only when the associated VSR-mass parameters are the same. Furthermore, we analyze the duality when the self-dual model is minimally coupled to fermions. As a result, we show that Thirring-like interactions, corrected for non-local VSR contributions, are included in the MCS model. Additionally, we demonstrate the equivalence of the fermion sectors in both models, thereby concluding the proof of classical-level duality.

[ { "created": "Thu, 30 Nov 2023 20:43:21 GMT", "version": "v1" } ]

2023-12-04

[ [ "Belchior", "Fernando M.", "" ], [ "Maluf", "Roberto V.", "" ] ]

This work aims to investigate the classical-level duality between the $SIM(1)$-Maxwell-Chern-Simons (MCS) model and its self-dual counterpart. Initially, our focus is on free-field cases to establish equivalence through two distinct approaches: comparing the equations of motion and utilizing the master Lagrangian method. In both instances, the classical correspondence between the self-dual field and the MCS dual field undergoes modifications due to very special relativity (VSR). Specifically, duality is established only when the associated VSR-mass parameters are the same. Furthermore, we analyze the duality when the self-dual model is minimally coupled to fermions. As a result, we show that Thirring-like interactions, corrected for non-local VSR contributions, are included in the MCS model. Additionally, we demonstrate the equivalence of the fermion sectors in both models, thereby concluding the proof of classical-level duality.

10.949806

9.152084

9.475039

9.040303

9.617654

9.609982

9.291792

8.468967

8.91964

10.741869

9.412921

9.132831

9.762434

9.048425

9.049758

9.139106

9.13476

9.175876

9.165668

9.705309

9.591487

hep-th/9803207

A. I. Pashnev

A. Pashnev and M. Tsulaia

Description of the higher massless irreducible integer spins in the BRST approach

10 pages, LaTeX

Mod.Phys.Lett. A13 (1998) 1853-1864

10.1142/S0217732398001947

JINR E2-98-56

hep-th

null

The BRST approach is applied to the description of irreducible massless higher spins representations of the Poincare group in arbitrary dimensions. The total system of constraints in such theory includes both the first and the second class constraints. The corresponding nilpotent BRST charge contains terms up to the seventh degree in ghosts.

[ { "created": "Wed, 25 Mar 1998 17:28:59 GMT", "version": "v1" } ]

2009-10-31

[ [ "Pashnev", "A.", "" ], [ "Tsulaia", "M.", "" ] ]

The BRST approach is applied to the description of irreducible massless higher spins representations of the Poincare group in arbitrary dimensions. The total system of constraints in such theory includes both the first and the second class constraints. The corresponding nilpotent BRST charge contains terms up to the seventh degree in ghosts.

10.061906

7.514122

11.218287

7.271671

7.815763

7.178065

8.650948

7.373215

7.277113

9.742424

7.32619

8.239635

8.403967

8.538993

8.126648

8.491586

8.393326

8.021729

8.142347

9.038219

8.88169

2201.09608

Rodrigo Bufalo

R. Bufalo and M. Ghasemkhani

Path integral analysis of the axial anomaly in Very Special Relativity

10 pages, no figures; matches MPLA published version. arXiv admin note: text overlap with arXiv:2011.10649

Modern Physics Letters A, 2250002 (2022)

10.1142/S021773232250002X

null

hep-th

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

In this note, we revise the problem of the axial anomaly in the framework of very special relativity following Fujikawa's path integral approach. We show nonperturbatively that no VSR contribution is present in the path integral measure in $(3+1)$-dimensional spacetime. Furthermore, we extend our results to $(1+1)$ dimensions, as well as to the two-dimesional curved spacetime.

[ { "created": "Mon, 24 Jan 2022 11:26:24 GMT", "version": "v1" } ]

2022-01-25

[ [ "Bufalo", "R.", "" ], [ "Ghasemkhani", "M.", "" ] ]

In this note, we revise the problem of the axial anomaly in the framework of very special relativity following Fujikawa's path integral approach. We show nonperturbatively that no VSR contribution is present in the path integral measure in $(3+1)$-dimensional spacetime. Furthermore, we extend our results to $(1+1)$ dimensions, as well as to the two-dimesional curved spacetime.

11.224484

8.719878

9.673464

8.981088

9.424301

9.093378

9.544174

8.967999

8.67252

9.275705

9.49056

8.97127

8.877315

8.888416

9.347922

8.968143

9.062907

9.025057

8.94805

9.090159

9.255894

hep-th/0107139

Renat Kh. Gainutdinov

Renat Kh.Gainutdinov

Ultraviolet divergences, renormalization and nonlocality of interactions in quantum field theory

12 pages

null

KSU-12-28

hep-th

null

We discuss the dynamical situation which arises in a local quantum field theory after renormalization. By using the example of the three-dimensional theory of a neutral scalar field interacting through the quartic coupling, we show that after renormalization the dynamics of a theory is governed by a generalized dynamical equation with a nonlocal interaction operator. It is shown that the generalized dynamical equation allows one to formulate this theory in an ultraviolet-finite way.

[ { "created": "Tue, 17 Jul 2001 12:40:45 GMT", "version": "v1" } ]

2007-05-23

[ [ "Gainutdinov", "Renat Kh.", "" ] ]

We discuss the dynamical situation which arises in a local quantum field theory after renormalization. By using the example of the three-dimensional theory of a neutral scalar field interacting through the quartic coupling, we show that after renormalization the dynamics of a theory is governed by a generalized dynamical equation with a nonlocal interaction operator. It is shown that the generalized dynamical equation allows one to formulate this theory in an ultraviolet-finite way.

8.882321

8.461292

8.572647

8.096237

7.744244

8.281225

8.274188

8.660708

8.350772

9.387615

8.441042

7.851076

8.23375

7.931679

8.038171

8.018666

7.990235

7.961264

7.798244

8.555571

7.787897

1607.06629

Yan-Gang Miao

Yan-Gang Miao, Zhen-Ming Xu

Thermodynamics of Horndeski black holes with non-minimal derivative coupling

v1: 18 pages, 7 figures; v2: 19 pages, clarifications and references added, final version to appear in Eur. Phys. J. C

Eur. Phys. J. C 76 (2016) 638 (10 pages)

10.1140/epjc/s10052-016-4482-1

null

hep-th gr-qc

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

We explore thermodynamic properties of a new class of Horndeski black holes whose action contains a non-minimal kinetic coupling of a massless real scalar and the Einstein tensor. Our treatment is based on the well-accepted consideration, where the cosmological constant is dealt with as thermodynamic pressure and the mass of black holes as thermodynamic enthalpy. We resort to a newly introduced intensive thermodynamic variable, i.e., the coupling strength of the scalar and tensor whose dimension is length square, and thus yield both the generalized first law of thermodynamics and the generalized Smarr relation. Our result indicates that this class of Horndeski black holes presents rich thermodynamic behaviors and critical phenomena. Especially in the case of the presence of an electric field, these black holes undergo two phase transitions. Once the charge parameter exceeds its critical value, or the cosmological parameter does not exceed its critical value, no phase transitions happen and the black holes are stable. As a by-product, we point out that the coupling strength acts as the thermodynamic pressure in the behavior of thermodynamics.

[ { "created": "Fri, 22 Jul 2016 10:55:11 GMT", "version": "v1" }, { "created": "Sun, 6 Nov 2016 07:57:47 GMT", "version": "v2" } ]

2016-11-29

[ [ "Miao", "Yan-Gang", "" ], [ "Xu", "Zhen-Ming", "" ] ]

We explore thermodynamic properties of a new class of Horndeski black holes whose action contains a non-minimal kinetic coupling of a massless real scalar and the Einstein tensor. Our treatment is based on the well-accepted consideration, where the cosmological constant is dealt with as thermodynamic pressure and the mass of black holes as thermodynamic enthalpy. We resort to a newly introduced intensive thermodynamic variable, i.e., the coupling strength of the scalar and tensor whose dimension is length square, and thus yield both the generalized first law of thermodynamics and the generalized Smarr relation. Our result indicates that this class of Horndeski black holes presents rich thermodynamic behaviors and critical phenomena. Especially in the case of the presence of an electric field, these black holes undergo two phase transitions. Once the charge parameter exceeds its critical value, or the cosmological parameter does not exceed its critical value, no phase transitions happen and the black holes are stable. As a by-product, we point out that the coupling strength acts as the thermodynamic pressure in the behavior of thermodynamics.

8.371781

8.605337

7.869665

7.888153

8.092855

8.437664

8.173249

7.964139

7.972346

7.908662

8.166849

7.866142

7.566431

7.575017

7.967977

7.772577

7.796753

7.638833

7.918734

7.655993

7.853271

hep-th/9908196

Chung-I. Tan

Richard C. Brower (Boston University), Samir D. Mathur (MIT), Chung-I Tan (Brown University)

Discrete Spectrum of the Graviton in the $AdS^5$ Black Hole Background

harvmac, 30 pages, i eps-file

Nucl.Phys.B574:219-244,2000

10.1016/S0550-3213(99)00802-0

Brown-HET-1187

hep-th hep-lat

null

The discrete spectrum of fluctuations of the metric about an $AdS^5$ black hole background are found. These modes are the strong coupling limit of so called glueball states in a dual 3-d Yang-Mills theory with quantum numbers $J^{PC} = 2^{++}, 1^{-+}, 0^{++}$. For the ground state modes, we find the mass relation: $m(0^{++}) < m(2^{++}) < m(1^{-+})$. Contrary to expectation, the mass of our new $0^{++}$ state ($m^2=5.4573$) associated with the graviton is smaller than the mass of the $0^{++}$ state ($m^2=11.588$) from the dilaton. In fact the dilatonic excitations are exactly degenerate with our tensor $2^{++}$ states. We find that variational methods gives remarkably accurate mass estimates for all three low-lying levels while a WKB treatment describes the higher modes well.

[ { "created": "Mon, 30 Aug 1999 22:44:44 GMT", "version": "v1" } ]

2008-11-26

[ [ "Brower", "Richard C.", "", "Boston University" ], [ "Mathur", "Samir D.", "", "MIT" ], [ "Tan", "Chung-I", "", "Brown University" ] ]

The discrete spectrum of fluctuations of the metric about an $AdS^5$ black hole background are found. These modes are the strong coupling limit of so called glueball states in a dual 3-d Yang-Mills theory with quantum numbers $J^{PC} = 2^{++}, 1^{-+}, 0^{++}$. For the ground state modes, we find the mass relation: $m(0^{++}) < m(2^{++}) < m(1^{-+})$. Contrary to expectation, the mass of our new $0^{++}$ state ($m^2=5.4573$) associated with the graviton is smaller than the mass of the $0^{++}$ state ($m^2=11.588$) from the dilaton. In fact the dilatonic excitations are exactly degenerate with our tensor $2^{++}$ states. We find that variational methods gives remarkably accurate mass estimates for all three low-lying levels while a WKB treatment describes the higher modes well.

8.823591

8.518846

8.690403

8.27175

8.383072

8.603104

8.695454

8.372933

8.104307

9.430028

7.830225

8.024651

7.990793

7.944537

7.980202

8.009976

7.764894

7.880722

7.898552

8.200614

7.78737

0807.0269

Jorge Abel Espich\'an Carrillo

M. C. Gama, J. A. Espich\'an Carrillo, A. Maia Jr

Small Fluctuations in $\lambda \phi^{n+1}$ Theory in a Finite Domain: An Hirota's Method Approach

10 pages

null

hep-th

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

We present a method to calculate small stationary fluctuations around static solutions describing bound states in a $(1+1)$-dimensional $\lambda \phi^{n+1}$ theory in a finite domain. We also calculate explicitly fluctuations for the $\lambda \phi^4$. These solutions are written in terms of Jacobi Elliptic functions and are obtained from both linear and nonlinear equations. For the linear case we get eingenvalues of a Lam\'e type Equation and the nonlinear one relies on Hirota's Method.

[ { "created": "Wed, 2 Jul 2008 04:30:49 GMT", "version": "v1" } ]

2008-07-03

[ [ "Gama", "M. C.", "" ], [ "Carrillo", "J. A. Espichán", "" ], [ "Maia", "A.", "Jr" ] ]

We present a method to calculate small stationary fluctuations around static solutions describing bound states in a $(1+1)$-dimensional $\lambda \phi^{n+1}$ theory in a finite domain. We also calculate explicitly fluctuations for the $\lambda \phi^4$. These solutions are written in terms of Jacobi Elliptic functions and are obtained from both linear and nonlinear equations. For the linear case we get eingenvalues of a Lam\'e type Equation and the nonlinear one relies on Hirota's Method.

13.737488

14.089222

14.117063

12.989865

14.148588

13.480963

13.961878

13.115051

13.280794

15.538954

12.862435

12.260366

13.692249

12.706599

12.934632

12.632482

12.133099

12.60929

12.578795

12.707253

12.534195

1603.03044

Antonio Amariti

Antonio Amariti, Domenico Orlando, Susanne Reffert

Line operators from M-branes on compact Riemann surfaces

17 pages, 8 figures

null

10.1016/j.nuclphysb.2016.09.012

null

hep-th

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

In this paper, we determine the charge lattice of mutually local Wilson and 't Hooft line operators for class S theories living on M5-branes wrapped on compact Riemann surfaces. The main ingredients of our analysis are the fundamental group of the N-cover of the Riemann surface, and a quantum constraint on the six-dimensional theory. This latter plays a central role in excluding some of the possible lattices and imposing consistency conditions on the charges. This construction gives a geometric explanation for the mutual locality among the lines, fixing their charge lattice and the structure of the four-dimensional gauge group.

[ { "created": "Wed, 9 Mar 2016 21:00:05 GMT", "version": "v1" } ]

2016-10-12

[ [ "Amariti", "Antonio", "" ], [ "Orlando", "Domenico", "" ], [ "Reffert", "Susanne", "" ] ]

In this paper, we determine the charge lattice of mutually local Wilson and 't Hooft line operators for class S theories living on M5-branes wrapped on compact Riemann surfaces. The main ingredients of our analysis are the fundamental group of the N-cover of the Riemann surface, and a quantum constraint on the six-dimensional theory. This latter plays a central role in excluding some of the possible lattices and imposing consistency conditions on the charges. This construction gives a geometric explanation for the mutual locality among the lines, fixing their charge lattice and the structure of the four-dimensional gauge group.

9.902215

9.10846

11.103937

9.54358

9.326734

9.574694

10.064717

9.886025

9.746299

14.690237

9.125776

9.028106

10.747087

9.329

9.0072

9.136085

8.878851

9.254352

8.983384

10.55512

8.849998

1605.01967

Rafael Augusto Couceiro Correa

R. A. C. Correa, P. H. R. S. Moraes, A. de Souza Dutra, W. de Paula, T. Frederico

Configurational entropy as a bounding of Gauss-Bonnet braneworld models

null

Phys. Rev. D 94, 083509 (2016)

10.1103/PhysRevD.94.083509

null

hep-th

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

Configurational entropy has been revealed as a reliable method for constraining some parameters of a given model [Phys. Rev. D \textbf{92} (2015) 126005, Eur. Phys. J. C \textbf{76} (2016) 100]. In this letter we calculate the configurational entropy in Gauss-Bonnet braneworld models. Our results restrict the range of acceptability of the Gauss-Bonnet scalar values. In this way, the information theoretical measure in Gauss-Bonnet scenarios opens a new window to probe situations where the additional parameters, responsible for the Gauss-Bonnet sector, are arbitrary. We also show that such an approach is very important in applications that include p and Dp-branes and various superstring-motivated theories.

[ { "created": "Fri, 6 May 2016 15:18:30 GMT", "version": "v1" } ]

2016-10-12

[ [ "Correa", "R. A. C.", "" ], [ "Moraes", "P. H. R. S.", "" ], [ "Dutra", "A. de Souza", "" ], [ "de Paula", "W.", "" ], [ "Frederico", "T.", "" ] ]

Configurational entropy has been revealed as a reliable method for constraining some parameters of a given model [Phys. Rev. D \textbf{92} (2015) 126005, Eur. Phys. J. C \textbf{76} (2016) 100]. In this letter we calculate the configurational entropy in Gauss-Bonnet braneworld models. Our results restrict the range of acceptability of the Gauss-Bonnet scalar values. In this way, the information theoretical measure in Gauss-Bonnet scenarios opens a new window to probe situations where the additional parameters, responsible for the Gauss-Bonnet sector, are arbitrary. We also show that such an approach is very important in applications that include p and Dp-branes and various superstring-motivated theories.

12.336799

10.51144

10.89387

10.310637

12.711422

11.267682

11.010714

9.775242

10.795565

11.980327

11.004859

10.507005

11.205722

10.578146

10.355811

10.450706

10.546803

10.342879

10.400341

11.263061

10.779572

2104.13746

Giorgos Manolakos

G. Manolakos, P. Manousselis, G. Zoupanos

Four-Dimensional Gravity on a Covariant Noncommutative Space (II)

null

10.1002/prop.202100085

null

hep-th gr-qc

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

Based on the construction of the 4-dim noncommutative gravity model described in our previous work, first, a more extended description of the covariant noncommutative space (fuzzy 4-dim de Sitter space), which accommodates the gravity model, is presented and then the corresponding field equations, which are obtained after variation of the previously proposed action, are extracted. Also, a spontaneous breaking of the initial symmetry is performed, this time induced by the introduction of an auxiliary scalar field, and its implications in the reduced theory, which is produced after considering the commutative limit, are examined.

[ { "created": "Wed, 28 Apr 2021 13:25:58 GMT", "version": "v1" } ]

2021-09-22

[ [ "Manolakos", "G.", "" ], [ "Manousselis", "P.", "" ], [ "Zoupanos", "G.", "" ] ]

Based on the construction of the 4-dim noncommutative gravity model described in our previous work, first, a more extended description of the covariant noncommutative space (fuzzy 4-dim de Sitter space), which accommodates the gravity model, is presented and then the corresponding field equations, which are obtained after variation of the previously proposed action, are extracted. Also, a spontaneous breaking of the initial symmetry is performed, this time induced by the introduction of an auxiliary scalar field, and its implications in the reduced theory, which is produced after considering the commutative limit, are examined.

11.574655

10.713795

11.206641

10.721971

10.676476

10.713172

11.34831

10.719112

11.365059

11.998921

10.811055

10.881148

11.139517

10.865985

11.09962

10.870364

10.837158

11.303207

10.805394

11.241282

10.778359

0804.0231

Maulik K. Parikh

Maulik K. Parikh, Jan Pieter van der Schaar

Not One Bit of de Sitter Information

9 pages, 2 figures, LaTeX, corrected equation 11

JHEP0809:041,2008

10.1088/1126-6708/2008/09/041

IUCAA-09/2008, ITFA-2008-11

hep-th astro-ph gr-qc

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

We formulate the information paradox in de Sitter space in terms of the no-cloning principle of quantum mechanics. We show that energy conservation puts an upper bound on the maximum entropy available to any de Sitter observer. Combined with a general result on the average information in a quantum subsystem, this guarantees that an observer in de Sitter space cannot obtain even a single bit of information from the de Sitter horizon, thereby preventing any observable violations of the quantum no-cloning principle, in support of observer complementarity.

[ { "created": "Wed, 2 Apr 2008 15:50:48 GMT", "version": "v1" }, { "created": "Thu, 10 Apr 2008 12:54:24 GMT", "version": "v2" } ]

2008-11-26

[ [ "Parikh", "Maulik K.", "" ], [ "van der Schaar", "Jan Pieter", "" ] ]

We formulate the information paradox in de Sitter space in terms of the no-cloning principle of quantum mechanics. We show that energy conservation puts an upper bound on the maximum entropy available to any de Sitter observer. Combined with a general result on the average information in a quantum subsystem, this guarantees that an observer in de Sitter space cannot obtain even a single bit of information from the de Sitter horizon, thereby preventing any observable violations of the quantum no-cloning principle, in support of observer complementarity.

9.169072

9.807979

9.863482

8.762792

9.80141

9.290751

8.282538

8.932593

9.884291

10.265799

8.164483

8.792603

9.20988

9.041697

9.30629

8.693153

9.311417

8.821007

8.957152

9.279806

8.5371

hep-th/0609095

Neil Turok

G.W. Gibbons and Neil Turok

The Measure Problem in Cosmology

22 pages, 6 figures. Revised version with clarifying remarks on meaning of adopted measure, extra references and minor typographical corrections

Phys.Rev.D77:063516,2008

10.1103/PhysRevD.77.063516

null

hep-th astro-ph gr-qc

null

The Hamiltonian structure of general relativity provides a natural canonical measure on the space of all classical universes, i.e., the multiverse. We review this construction and show how one can visualize the measure in terms of a "magnetic flux" of solutions through phase space. Previous studies identified a divergence in the measure, which we observe to be due to the dilatation invariance of flat FRW universes. We show that the divergence is removed if we identify universes which are so flat they cannot be observationally distinguished. The resulting measure is independent of time and of the choice of coordinates on the space of fields. We further show that, for some quantities of interest, the measure is very insensitive to the details of how the identification is made. One such quantity is the probability of inflation in simple scalar field models. We find that, according to our implementation of the canonical measure, the probability for N e-folds of inflation in single-field, slow-roll models is suppressed by of order exp(-3N) and we discuss the implications of this result.

[ { "created": "Wed, 13 Sep 2006 21:07:13 GMT", "version": "v1" }, { "created": "Tue, 2 Jan 2007 18:53:04 GMT", "version": "v2" } ]

2008-11-26

[ [ "Gibbons", "G. W.", "" ], [ "Turok", "Neil", "" ] ]

The Hamiltonian structure of general relativity provides a natural canonical measure on the space of all classical universes, i.e., the multiverse. We review this construction and show how one can visualize the measure in terms of a "magnetic flux" of solutions through phase space. Previous studies identified a divergence in the measure, which we observe to be due to the dilatation invariance of flat FRW universes. We show that the divergence is removed if we identify universes which are so flat they cannot be observationally distinguished. The resulting measure is independent of time and of the choice of coordinates on the space of fields. We further show that, for some quantities of interest, the measure is very insensitive to the details of how the identification is made. One such quantity is the probability of inflation in simple scalar field models. We find that, according to our implementation of the canonical measure, the probability for N e-folds of inflation in single-field, slow-roll models is suppressed by of order exp(-3N) and we discuss the implications of this result.

8.904462

8.973595

9.265664

8.505711

8.795009

8.733663

8.566917

8.747316

8.664121

9.755509

8.921825

8.274255

8.484174

8.420326

8.40523

8.16433

8.201149

8.215461

8.271737

8.56356

8.189666

hep-th/9405194

Coussaert Olivier

G. Barnich, F. Brandt and M. Henneaux

Local BRST cohomology in the antifield formalism: II. Application to Yang-Mills theory

30 pages Latex file, ULB-TH-94/07, NIKHEF-H 94-15

Commun.Math.Phys.174:93-116,1995

10.1007/BF02099465

null

hep-th

null

Yang-Mills models with compact gauge group coupled to matter fields are considered. The general tools developed in a companion paper are applied to compute the local cohomology of the BRST differential $s$ modulo the exterior spacetime derivative $d$ for all values of the ghost number, in the space of polynomials in the fields, the ghosts, the antifields (=sources for the BRST variations) and their derivatives. New solutions to the consistency conditions $sa+db=0$ depending non trivially on the antifields are exhibited. For a semi-simple gauge group, however, these new solutions arise only at ghost number two or higher. Thus at ghost number zero or one, the inclusion of the antifields does not bring in new solutions to the consistency condition $sa+db=0$ besides the already known ones. The analysis does not use power counting and is purely cohomological. It can be easily extended to more general actions containing higher derivatives of the curvature, or Chern-Simons terms.

[ { "created": "Tue, 31 May 1994 12:06:07 GMT", "version": "v1" } ]

2008-11-26

[ [ "Barnich", "G.", "" ], [ "Brandt", "F.", "" ], [ "Henneaux", "M.", "" ] ]

Yang-Mills models with compact gauge group coupled to matter fields are considered. The general tools developed in a companion paper are applied to compute the local cohomology of the BRST differential $s$ modulo the exterior spacetime derivative $d$ for all values of the ghost number, in the space of polynomials in the fields, the ghosts, the antifields (=sources for the BRST variations) and their derivatives. New solutions to the consistency conditions $sa+db=0$ depending non trivially on the antifields are exhibited. For a semi-simple gauge group, however, these new solutions arise only at ghost number two or higher. Thus at ghost number zero or one, the inclusion of the antifields does not bring in new solutions to the consistency condition $sa+db=0$ besides the already known ones. The analysis does not use power counting and is purely cohomological. It can be easily extended to more general actions containing higher derivatives of the curvature, or Chern-Simons terms.

6.041878

6.344471

7.875373

6.491491

6.636395

6.063454

6.491736

6.501664

6.696446

7.625722

6.599089

5.947256

6.312546

6.356548

6.186235

6.200367

6.123599

5.964239

6.436311

6.31319

6.142843

2012.02642

Anisur Rahaman

Sohan Kumar Jha, Himangshu Barman and Anisur Rahaman

Bumblebee gravity and particle motion in Snyder noncommutative spacetime structures

11 pages Latex, no figure

JCAP 2104 (2021) 036

10.1088/1475-7516/2021/04/036

null

hep-th gr-qc

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

A metric with a Lorentz violating parameter is associated with the bumblebee gravity model. We study the motion of a particle in this bumblebee background where the dynamical variables satisfy non-canonical Snyder algebra along with some critical survey on the classical observations in the bumblebee background to see how these would likely differ from Schwarzschild background. It has been found that the perihelion shift acquires a generalized expression with two independent parameters. One of these two is connected with the Lorentz violating factor and the other is involved in the Snyder algebraic formulation. We also observe that the time period of revolution, in general, acquires a Lorentz violating factor in the bumblebee background, however, for the circular orbit, it remains unchanged even in the presence of the Lorentz violating factor in the bumblebee background. The parameters used here can be constrained with the same type of conjecture used earlier.

[ { "created": "Fri, 4 Dec 2020 15:00:38 GMT", "version": "v1" } ]

2021-05-11

[ [ "Jha", "Sohan Kumar", "" ], [ "Barman", "Himangshu", "" ], [ "Rahaman", "Anisur", "" ] ]

A metric with a Lorentz violating parameter is associated with the bumblebee gravity model. We study the motion of a particle in this bumblebee background where the dynamical variables satisfy non-canonical Snyder algebra along with some critical survey on the classical observations in the bumblebee background to see how these would likely differ from Schwarzschild background. It has been found that the perihelion shift acquires a generalized expression with two independent parameters. One of these two is connected with the Lorentz violating factor and the other is involved in the Snyder algebraic formulation. We also observe that the time period of revolution, in general, acquires a Lorentz violating factor in the bumblebee background, however, for the circular orbit, it remains unchanged even in the presence of the Lorentz violating factor in the bumblebee background. The parameters used here can be constrained with the same type of conjecture used earlier.

11.435882

11.143418

10.689769

10.677531

10.781889

11.878937

11.36105

10.761621

10.892182

10.977219

11.329569

11.204541

11.061752

10.913792

10.946862

11.282629

11.219027

10.844152

11.04119

11.098022

11.200177

2307.14211

Xiankai Pang

Victor Nador, Daniele Oriti, Xiankai Pang, Adrian Tanasa and Yi-Li Wang

Generalised Amit-Roginsky model from perturbations of 3d quantum gravity

30 pages

Phys. Rev. D 109, 066008 (2024)

10.1103/PhysRevD.109.066008

null

hep-th gr-qc math-ph math.MP

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

A generalised Amit-Roginsky vector model in flat space is obtained as the effective dynamics of pertubations around a classical solution of the Boulatov group field theory for 3d euclidean quantum gravity, extended to include additional matter degrees of freedom. By further restricting the type of perturbations, the original Amit-Roginsky model can be obtained. This result suggests a general link (and possibly a unified framework) between two types of tensorial quantum field theories: quantum geometric group field theories and tensorial models for random geometry, on one hand, and melonic-dominated vector and tensorial models in flat space, such as the Amit-Roginsky model (and the SYK model), on the other hand.

[ { "created": "Wed, 26 Jul 2023 14:24:21 GMT", "version": "v1" }, { "created": "Mon, 31 Jul 2023 14:28:42 GMT", "version": "v2" } ]

2024-03-13

[ [ "Nador", "Victor", "" ], [ "Oriti", "Daniele", "" ], [ "Pang", "Xiankai", "" ], [ "Tanasa", "Adrian", "" ], [ "Wang", "Yi-Li", "" ] ]

A generalised Amit-Roginsky vector model in flat space is obtained as the effective dynamics of pertubations around a classical solution of the Boulatov group field theory for 3d euclidean quantum gravity, extended to include additional matter degrees of freedom. By further restricting the type of perturbations, the original Amit-Roginsky model can be obtained. This result suggests a general link (and possibly a unified framework) between two types of tensorial quantum field theories: quantum geometric group field theories and tensorial models for random geometry, on one hand, and melonic-dominated vector and tensorial models in flat space, such as the Amit-Roginsky model (and the SYK model), on the other hand.

12.442351

11.190685

11.377099

10.182316

12.511984

10.753043

11.309251

11.50751

10.504255

14.203652

10.757091

11.641239

11.327847

10.761376

11.337928

10.975498

10.822508

11.107944

11.372768

12.800831

10.939992

hep-th/0108245

Hong Lu

M. Cvetic, G.W. Gibbons, H. Lu and C.N. Pope

Cohomogeneity One Manifolds of Spin(7) and G(2) Holonomy

Latex, 60 pages, references added, formulae corrected and additional discussion on the asymptotic flow of N(k,l) cases added

Phys.Rev.D65:106004,2002

10.1103/PhysRevD.65.106004

null

hep-th

null

In this paper, we look for metrics of cohomogeneity one in D=8 and D=7 dimensions with Spin(7) and G_2 holonomy respectively. In D=8, we first consider the case of principal orbits that are S^7, viewed as an S^3 bundle over S^4 with triaxial squashing of the S^3 fibres. This gives a more general system of first-order equations for Spin(7) holonomy than has been solved previously. Using numerical methods, we establish the existence of new non-singular asymptotically locally conical (ALC) Spin(7) metrics on line bundles over \CP^3, with a non-trivial parameter that characterises the homogeneous squashing of CP^3. We then consider the case where the principal orbits are the Aloff-Wallach spaces N(k,\ell)=SU(3)/U(1), where the integers k and \ell characterise the embedding of U(1). We find new ALC and AC metrics of Spin(7) holonomy, as solutions of the first-order equations that we obtained previously in hep-th/0102185. These include certain explicit ALC metrics for all N(k,\ell), and numerical and perturbative results for ALC families with AC limits. We then study D=7 metrics of $G_2$ holonomy, and find new explicit examples, which, however, are singular, where the principal orbits are the flag manifold SU(3)/(U(1)\times U(1)). We also obtain numerical results for new non-singular metrics with principal orbits that are S^3\times S^3. Additional topics include a detailed and explicit discussion of the Einstein metrics on N(k,\ell), and an explicit parameterisation of SU(3).

[ { "created": "Fri, 31 Aug 2001 22:43:08 GMT", "version": "v1" }, { "created": "Fri, 5 Oct 2001 19:40:17 GMT", "version": "v2" } ]

2009-09-17

[ [ "Cvetic", "M.", "" ], [ "Gibbons", "G. W.", "" ], [ "Lu", "H.", "" ], [ "Pope", "C. N.", "" ] ]

In this paper, we look for metrics of cohomogeneity one in D=8 and D=7 dimensions with Spin(7) and G_2 holonomy respectively. In D=8, we first consider the case of principal orbits that are S^7, viewed as an S^3 bundle over S^4 with triaxial squashing of the S^3 fibres. This gives a more general system of first-order equations for Spin(7) holonomy than has been solved previously. Using numerical methods, we establish the existence of new non-singular asymptotically locally conical (ALC) Spin(7) metrics on line bundles over \CP^3, with a non-trivial parameter that characterises the homogeneous squashing of CP^3. We then consider the case where the principal orbits are the Aloff-Wallach spaces N(k,\ell)=SU(3)/U(1), where the integers k and \ell characterise the embedding of U(1). We find new ALC and AC metrics of Spin(7) holonomy, as solutions of the first-order equations that we obtained previously in hep-th/0102185. These include certain explicit ALC metrics for all N(k,\ell), and numerical and perturbative results for ALC families with AC limits. We then study D=7 metrics of $G_2$ holonomy, and find new explicit examples, which, however, are singular, where the principal orbits are the flag manifold SU(3)/(U(1)\times U(1)). We also obtain numerical results for new non-singular metrics with principal orbits that are S^3\times S^3. Additional topics include a detailed and explicit discussion of the Einstein metrics on N(k,\ell), and an explicit parameterisation of SU(3).

6.30125

6.043767

6.973294

5.883551

6.282989

6.320009

6.944276

5.857647

5.869109

8.842492

6.056475

6.197383

6.371522

6.124526

6.108185

5.949272

6.27601

6.220375

6.168156

6.551151

6.168194

2101.10646

Roberto Zucchini

4-d Chern-Simons Theory: Higher Gauge Symmetry and Holographic Aspects

123 pages, no figures. Comments are welcome

null

10.1007/JHEP06(2021)025

DIFA UNIBO 2021

hep-th

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

We present and study a 4d Chern-Simons (CS) model whose gauge symmetry is encoded in a balanced Lie group crossed module. Using the derived formal set-up recently found, the model can be formulated in a way that in many respects closely parallels that of the familiar 3d CS one. In spite of these formal resemblance, the gauge invariance properties of the 4d CS model differ considerably. The 4d CS action is fully gauge invariant if the underlying base 4fold has no boundary. When it does, the action is gauge variant, the gauge variation being a boundary term. If certain boundary conditions are imposed on the gauge fields and gauge transformations, level quantization can then occur. In the canonical formulation of the theory, it is found that, depending again on boundary conditions, the 4d CS model is characterized by surface charges obeying a non trivial Poisson bracket algebra. This is a higher counterpart of the familiar WZNW current algebra arising in the 3d model. 4d CS theory thus exhibits rich holographic properties. The covariant Schroedinger quantization of the 4d CS model is performed. A preliminary analysis of 4d CS edge field theory is also provided. The toric and Abelian projected models are described in some detail.

[ { "created": "Tue, 26 Jan 2021 09:17:33 GMT", "version": "v1" } ]

2021-06-30

[ [ "Zucchini", "Roberto", "" ] ]

We present and study a 4d Chern-Simons (CS) model whose gauge symmetry is encoded in a balanced Lie group crossed module. Using the derived formal set-up recently found, the model can be formulated in a way that in many respects closely parallels that of the familiar 3d CS one. In spite of these formal resemblance, the gauge invariance properties of the 4d CS model differ considerably. The 4d CS action is fully gauge invariant if the underlying base 4fold has no boundary. When it does, the action is gauge variant, the gauge variation being a boundary term. If certain boundary conditions are imposed on the gauge fields and gauge transformations, level quantization can then occur. In the canonical formulation of the theory, it is found that, depending again on boundary conditions, the 4d CS model is characterized by surface charges obeying a non trivial Poisson bracket algebra. This is a higher counterpart of the familiar WZNW current algebra arising in the 3d model. 4d CS theory thus exhibits rich holographic properties. The covariant Schroedinger quantization of the 4d CS model is performed. A preliminary analysis of 4d CS edge field theory is also provided. The toric and Abelian projected models are described in some detail.

11.544572

12.021222

13.028054

11.328724

12.206492

11.993299

12.099872

10.968253

10.916514

13.881528

10.843982

11.44845

11.946741

11.166541

11.09885

11.224667

11.554978

11.466784

11.390298

11.463357

11.198522

1809.05310

Tom\'a\v{s} Brauner

Tomas Brauner and Helena Kolesova

Gauged Wess-Zumino terms for a general coset space

19 pages; v2: the examples section substantially rewritten (a critical error corrected and a new example added), matches text published in Nucl. Phys. B; v3: the statement about de Rham cohomology of U(N)/U(N-1) coset spaces in footnote 8 corrected

Nucl. Phys. B945 (2019) 114676

10.1016/j.nuclphysb.2019.114676

null

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

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

The low-energy physics of systems with spontaneously broken continuous symmetry is dominated by the ensuing Nambu-Goldstone bosons. It has been known for half a century how to construct invariant Lagrangian densities for the low-energy effective theory of Nambu-Goldstone bosons. Contributions, invariant only up to a surface term -- also known as the Wess-Zumino (WZ) terms -- are more subtle, and as a rule are topological in nature. Although WZ terms have been studied intensively in theoretically oriented literature, explicit expressions do not seem to be available in sufficient generality in a form suitable for practical applications. Here we construct the WZ terms in $d=1,2,3,4$ spacetime dimensions for an arbitrary compact, semisimple and simply connected symmetry group $G$ and its arbitrary connected unbroken subgroup $H$, provided that the $d$-th homotopy group of the coset space $G/H$ is trivial. Coupling to gauge fields for the whole group $G$ is included throughout the construction. We list a number of explicit matrix expressions for the WZ terms in four spacetime dimensions, including those for QCD-like theories, that is vector-like gauge theories with fermions in a complex, real or pseudoreal representation of the gauge group.

[ { "created": "Fri, 14 Sep 2018 08:59:31 GMT", "version": "v1" }, { "created": "Sun, 9 Jun 2019 18:53:51 GMT", "version": "v2" }, { "created": "Sat, 23 Jul 2022 07:26:08 GMT", "version": "v3" } ]

2022-07-26

[ [ "Brauner", "Tomas", "" ], [ "Kolesova", "Helena", "" ] ]

The low-energy physics of systems with spontaneously broken continuous symmetry is dominated by the ensuing Nambu-Goldstone bosons. It has been known for half a century how to construct invariant Lagrangian densities for the low-energy effective theory of Nambu-Goldstone bosons. Contributions, invariant only up to a surface term -- also known as the Wess-Zumino (WZ) terms -- are more subtle, and as a rule are topological in nature. Although WZ terms have been studied intensively in theoretically oriented literature, explicit expressions do not seem to be available in sufficient generality in a form suitable for practical applications. Here we construct the WZ terms in $d=1,2,3,4$ spacetime dimensions for an arbitrary compact, semisimple and simply connected symmetry group $G$ and its arbitrary connected unbroken subgroup $H$, provided that the $d$-th homotopy group of the coset space $G/H$ is trivial. Coupling to gauge fields for the whole group $G$ is included throughout the construction. We list a number of explicit matrix expressions for the WZ terms in four spacetime dimensions, including those for QCD-like theories, that is vector-like gauge theories with fermions in a complex, real or pseudoreal representation of the gauge group.

5.955368

6.564031

6.41609

5.863831

5.980411

6.688201

6.051286

6.292735

5.858855

6.3261

5.75331

5.87959

5.981834

5.824613

5.896901

5.822323

5.707464

5.895548

5.707173

6.106065

5.856071

0808.1126

Albion Lawrence

F-term SUSY Breaking and Moduli

14 pages,uses harvmac.tex; small corrections made in v2

Phys.Rev.D79:101701,2009

10.1103/PhysRevD.79.101701

BRX TH-599

hep-th hep-ph

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

We discuss the coupling of heavy moduli fields to light fields when the dynamics of the latter, absent such couplings, yields metastable vacua. We show that the survival of the vacuum structure of the local model depends nontrivially on the cross-couplings of the two sectors. In particular we find that for "local" models (such as those realized by D-branes in type II string theories) with metastable vacua breaking supersymmetry via F-terms, cross-coupling of the two sectors at an intermediate scale can push the metastable vacuum outside of the regime of the effective field theory. We parametrize the region in which the metastable vacua are safe. We the show that sufficiently small cross-couplings can be made natural. Finally, we briefly discuss the role of moduli in stringy realizations of "retrofitted" SUSY-breaking sectors.

[ { "created": "Thu, 7 Aug 2008 23:06:29 GMT", "version": "v1" }, { "created": "Sun, 10 Aug 2008 18:56:10 GMT", "version": "v2" } ]

2009-07-30

[ [ "Lawrence", "Albion", "" ] ]

We discuss the coupling of heavy moduli fields to light fields when the dynamics of the latter, absent such couplings, yields metastable vacua. We show that the survival of the vacuum structure of the local model depends nontrivially on the cross-couplings of the two sectors. In particular we find that for "local" models (such as those realized by D-branes in type II string theories) with metastable vacua breaking supersymmetry via F-terms, cross-coupling of the two sectors at an intermediate scale can push the metastable vacuum outside of the regime of the effective field theory. We parametrize the region in which the metastable vacua are safe. We the show that sufficiently small cross-couplings can be made natural. Finally, we briefly discuss the role of moduli in stringy realizations of "retrofitted" SUSY-breaking sectors.

10.810418

11.47369

10.504836

9.806532

10.808403

10.969592

11.144208

10.44703

9.940641

11.199208

10.429033

10.764587

10.649123

10.235714

10.228761

10.647336

10.501345

10.234842

10.386036

10.75907

10.279083

0812.4659

Satoshi Ohya

Tomoaki Nagasawa, Satoshi Ohya, Kazuki Sakamoto, Makoto Sakamoto and Kosuke Sekiya

Hierarchy of QM SUSYs on a Bounded Domain

15 pages, 3 figures

J.Phys.A42:265203,2009

10.1088/1751-8113/42/26/265203

KOBE-TH-08-10

hep-th quant-ph

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

We systematically formulate a hierarchy of isospectral Hamiltonians in one-dimensional supersymmetric quantum mechanics on an interval and on a circle, in which two successive Hamiltonians form N=2 supersymmetry. We find that boundary conditions compatible with supersymmetry are severely restricted. In the case of an interval, a hierarchy of, at most, three isospectral Hamiltonians is possible with unique boundary conditions, while in the case of a circle an infinite tower of isospectral Hamiltonians can be constructed with two-parameter family of boundary conditions.

[ { "created": "Fri, 26 Dec 2008 09:27:04 GMT", "version": "v1" } ]

2009-06-25

[ [ "Nagasawa", "Tomoaki", "" ], [ "Ohya", "Satoshi", "" ], [ "Sakamoto", "Kazuki", "" ], [ "Sakamoto", "Makoto", "" ], [ "Sekiya", "Kosuke", "" ] ]

We systematically formulate a hierarchy of isospectral Hamiltonians in one-dimensional supersymmetric quantum mechanics on an interval and on a circle, in which two successive Hamiltonians form N=2 supersymmetry. We find that boundary conditions compatible with supersymmetry are severely restricted. In the case of an interval, a hierarchy of, at most, three isospectral Hamiltonians is possible with unique boundary conditions, while in the case of a circle an infinite tower of isospectral Hamiltonians can be constructed with two-parameter family of boundary conditions.

7.32092

6.213223

6.665506

5.994927

6.648486

6.589243

6.186194

5.86051

6.344572

7.957101

6.670422

6.560715

6.671414

6.399038

6.36593

6.625108

6.417252

6.252242

6.487845

6.683303

6.550557

hep-th/9305141

Valeri Dvoeglazov

Valeriy V. Dvoeglazov

The 2(2S+1)- Formalism and Its Connection with Other Descriptions

13pp., merged hep-th/9305141 and hep-th/9306108 with revisions. Accepted in "Int. J. Geom. Meth. Phys."

IJGMMP 13, No. 04, 1650036 (2016)

10.1142/S0219887816500365

null

hep-th hep-ph math-ph math.MP physics.hist-ph

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

In the framework of the Joos-Weinberg 2(2S+1)- theory for massless particles, the dynamical invariants have been derived from the Lagrangian density which is considered to be a 4- vector. A la Majorana interpretation of the 6- component "spinors", the field operators of S=1 particles, as the left- and right-circularly polarized radiation, leads us to the conserved quantities which are analogous to those obtained by Lipkin and Sudbery. The scalar Lagrangian of the Joos-Weinberg theory is shown to be equivalent to the Lagrangian of a free massless field, introduced by Hayashi. As a consequence of a new "gauge" invariance this skew-symmetric field describes physical particles with the longitudinal components only. The interaction of the spinor field with the Weinberg's 2(2S+1)- component massless field is considered. New interpretation of the Weinberg field function is proposed. KEYWORDS: quantum electrodynamics, Lorentz group representation, high-spin particles, bivector, electromagnetic field potential. PACS: 03.50.De, 11.10.Ef, 11.10.Qr, 11.17+y, 11.30.Cp

[ { "created": "Wed, 26 May 1993 02:32:11 GMT", "version": "v1" }, { "created": "Tue, 9 Feb 2016 20:51:08 GMT", "version": "v2" } ]

2016-05-20

[ [ "Dvoeglazov", "Valeriy V.", "" ] ]

In the framework of the Joos-Weinberg 2(2S+1)- theory for massless particles, the dynamical invariants have been derived from the Lagrangian density which is considered to be a 4- vector. A la Majorana interpretation of the 6- component "spinors", the field operators of S=1 particles, as the left- and right-circularly polarized radiation, leads us to the conserved quantities which are analogous to those obtained by Lipkin and Sudbery. The scalar Lagrangian of the Joos-Weinberg theory is shown to be equivalent to the Lagrangian of a free massless field, introduced by Hayashi. As a consequence of a new "gauge" invariance this skew-symmetric field describes physical particles with the longitudinal components only. The interaction of the spinor field with the Weinberg's 2(2S+1)- component massless field is considered. New interpretation of the Weinberg field function is proposed. KEYWORDS: quantum electrodynamics, Lorentz group representation, high-spin particles, bivector, electromagnetic field potential. PACS: 03.50.De, 11.10.Ef, 11.10.Qr, 11.17+y, 11.30.Cp

10.702429

11.538186

12.058111

11.246384

12.657624

13.178504

11.868564

12.158538

11.187689

12.72849

10.540969

10.097239

10.804631

10.629782

10.193295

10.425294

10.447878

10.465675

10.202273

10.766245

10.328163

1609.09427

Shingo Takeuchi

Kerr/CFT correspondence in a 4D extremal rotating regular black hole with a non-linear magnetic monopole

23 pages; v5: accepted version

Nucl.Phys.B921 (2017) 375-393

10.1016/j.nuclphysb.2017.05.008

null

hep-th gr-qc

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

We carry out the Kerr/CFT correspondence in a four-dimensional extremal rotating regular black hole with a non-linear magnetic monopole (NLMM). One problem in this study would be whether our geometry can be a solution or not. We search for the way making our rotating geometry into a solution based on the fact that the Schwarzschild regular black hole geometry with a NLMM can be a solution. However, in the attempt to extend the Schwarzschild case that we can naturally consider, it turns out that it is impossible to construct a model in which our geometry can be a exact solution. We manage this problem by making use of the fact that our geometry can be a solution approximately in the whole space-time except for the black hole's core region. As a next problem, it turns out that the equation to obtain the horizon radii is given by a fifth-order equation due to the regularization effect. We overcome this problem by treating the regularization effect perturbatively. As a result, we can obtain the near-horizon extremal Kerr (NHEK) geometry with the correction of the regularization effect. Once obtaining the NHEK geometry, we can obtain the central charge and the Frolov-Thorne temperature in the dual CFT. Using these, we compute its entropy through the Cardy formula, which agrees with the one computed from the Bekenstein-Hawking entropy.

[ { "created": "Thu, 29 Sep 2016 16:58:44 GMT", "version": "v1" }, { "created": "Thu, 6 Oct 2016 13:36:34 GMT", "version": "v2" }, { "created": "Wed, 21 Dec 2016 19:34:52 GMT", "version": "v3" }, { "created": "Tue, 13 Jun 2017 16:43:13 GMT", "version": "v4" }, { "created": "Wed, 2 Aug 2017 14:36:48 GMT", "version": "v5" } ]

2023-09-25

[ [ "Takeuchi", "Shingo", "" ] ]

We carry out the Kerr/CFT correspondence in a four-dimensional extremal rotating regular black hole with a non-linear magnetic monopole (NLMM). One problem in this study would be whether our geometry can be a solution or not. We search for the way making our rotating geometry into a solution based on the fact that the Schwarzschild regular black hole geometry with a NLMM can be a solution. However, in the attempt to extend the Schwarzschild case that we can naturally consider, it turns out that it is impossible to construct a model in which our geometry can be a exact solution. We manage this problem by making use of the fact that our geometry can be a solution approximately in the whole space-time except for the black hole's core region. As a next problem, it turns out that the equation to obtain the horizon radii is given by a fifth-order equation due to the regularization effect. We overcome this problem by treating the regularization effect perturbatively. As a result, we can obtain the near-horizon extremal Kerr (NHEK) geometry with the correction of the regularization effect. Once obtaining the NHEK geometry, we can obtain the central charge and the Frolov-Thorne temperature in the dual CFT. Using these, we compute its entropy through the Cardy formula, which agrees with the one computed from the Bekenstein-Hawking entropy.

8.269549

8.043756

8.336062

7.528893

8.101383

7.815306

8.270042

7.793568

7.917178

8.721113

8.172235

7.705913

7.936966

7.679583

7.794963

7.513771

7.745773

7.802015

7.609511

8.033237

8.009676

1711.03122

Eric Mefford

Eric Mefford, Edgar Shaghoulian, and Milind Shyani

Sparseness bounds on local operators in holographic $CFT_d$

21 pages, 9 figures, 2 appendices

null

10.1007/JHEP07(2018)051

null

hep-th

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

We use the thermodynamics of anti-de Sitter gravity to derive sparseness bounds on the spectrum of local operators in holographic conformal field theories. The simplest such bound is $\rho(\Delta) \lesssim \exp\left(\frac{2\pi\Delta}{d-1}\right)$ for CFT$_d$. Unlike the case of $d=2$, this bound is strong enough to rule out weakly coupled holographic theories. We generalize the bound to include spins $J_i$ and $U(1)$ charge $Q$, obtaining bounds on $\rho(\Delta, J_i, Q)$ in $d=3$ through $6$. All bounds are saturated by black holes at the Hawking-Page transition and vanish beyond the corresponding BPS bound.

[ { "created": "Wed, 8 Nov 2017 19:05:46 GMT", "version": "v1" } ]

2018-08-01

[ [ "Mefford", "Eric", "" ], [ "Shaghoulian", "Edgar", "" ], [ "Shyani", "Milind", "" ] ]

We use the thermodynamics of anti-de Sitter gravity to derive sparseness bounds on the spectrum of local operators in holographic conformal field theories. The simplest such bound is $\rho(\Delta) \lesssim \exp\left(\frac{2\pi\Delta}{d-1}\right)$ for CFT$_d$. Unlike the case of $d=2$, this bound is strong enough to rule out weakly coupled holographic theories. We generalize the bound to include spins $J_i$ and $U(1)$ charge $Q$, obtaining bounds on $\rho(\Delta, J_i, Q)$ in $d=3$ through $6$. All bounds are saturated by black holes at the Hawking-Page transition and vanish beyond the corresponding BPS bound.

6.156869

6.24599

6.615695

5.607404

6.278941

5.686053

6.188563

6.128288

5.881307

6.914896

5.584416

5.745552

6.215283

5.95992

6.030919

5.818211

5.859194

6.029471

5.664886

6.141347

5.845643

hep-th/0009212

James T. Liu

M.J. Duff, James T. Liu and W.A. Sabra

Localization of supergravity on the brane

12 pages, Latex, minor improvements, references added

Nucl.Phys. B605 (2001) 234-244

10.1016/S0550-3213(01)00160-2

CAMS/00-07, UM-TH-00-21

hep-th

null

A supersymmetric Randall-Sundrum brane-world demands that not merely the graviton but the entire supergravity multiplet be trapped on the brane. To demonstrate this, we present a complete ansatz for the reduction of (D=5,N=4) gauged supergravity to (D=4,N=2) ungauged supergravity in the Randall-Sundrum geometry. We verify that it is consistent to lowest order in fermion terms. In particular, we show how the graviphotons avoid the `no photons on the brane' result because they do not originate from Maxwell's equations in D=5 but rather from odd-dimensional self-duality equations. In the case of the fivebrane, the Randall-Sundrum mechanism also provides a new Kaluza-Klein way of obtaining chiral supergravity starting from non-chiral.

[ { "created": "Tue, 26 Sep 2000 22:52:01 GMT", "version": "v1" }, { "created": "Wed, 21 Mar 2001 23:39:16 GMT", "version": "v2" } ]

2009-10-31

[ [ "Duff", "M. J.", "" ], [ "Liu", "James T.", "" ], [ "Sabra", "W. A.", "" ] ]

A supersymmetric Randall-Sundrum brane-world demands that not merely the graviton but the entire supergravity multiplet be trapped on the brane. To demonstrate this, we present a complete ansatz for the reduction of (D=5,N=4) gauged supergravity to (D=4,N=2) ungauged supergravity in the Randall-Sundrum geometry. We verify that it is consistent to lowest order in fermion terms. In particular, we show how the graviphotons avoid the `no photons on the brane' result because they do not originate from Maxwell's equations in D=5 but rather from odd-dimensional self-duality equations. In the case of the fivebrane, the Randall-Sundrum mechanism also provides a new Kaluza-Klein way of obtaining chiral supergravity starting from non-chiral.

8.851695

8.225072

8.88578

8.382836

8.600525

8.278881

8.460368

8.751101

7.961016

9.478786

8.305295

8.117475

8.68514

8.294857

7.884657

7.930669

7.797651

8.232716

8.051893

8.447382

8.459283

hep-th/0005114

Tadaoki Uesugi

Michihiro Naka, Tadashi Takayanagi and Tadaoki Uesugi

Boundary State Description of Tachyon Condensation

36 pages, 3 figures

JHEP 0006 (2000) 007

10.1088/1126-6708/2000/06/007

UT-890

hep-th

null

We construct the explicit boundary state description of the vortex-type (codimension two) tachyon condensation in brane-antibrane systems generalizing the known result of the kink-type (Frau et al. hep-th/9903123). In this description we show how the RR-charge of the lower dimensional D-branes emerges. We also investigate the tachyon condensation in T^4/Z_2 orbifold and find that the twisted sector can be treated almost in the same way as the untwisted sector from the viewpoint of the boundary state. Further we discuss the higher codimension cases.

[ { "created": "Fri, 12 May 2000 14:42:23 GMT", "version": "v1" } ]

2009-10-31

[ [ "Naka", "Michihiro", "" ], [ "Takayanagi", "Tadashi", "" ], [ "Uesugi", "Tadaoki", "" ] ]

We construct the explicit boundary state description of the vortex-type (codimension two) tachyon condensation in brane-antibrane systems generalizing the known result of the kink-type (Frau et al. hep-th/9903123). In this description we show how the RR-charge of the lower dimensional D-branes emerges. We also investigate the tachyon condensation in T^4/Z_2 orbifold and find that the twisted sector can be treated almost in the same way as the untwisted sector from the viewpoint of the boundary state. Further we discuss the higher codimension cases.

8.690511

8.159453

10.536451

8.086256

7.905714

8.625857

7.538577

7.753576

8.036424

11.273567

8.060068

8.175042

9.460829

8.099514

7.814155

8.158916

8.242929

8.202821

7.917667

9.161784

7.931903

1602.08547

Dami\'an Galante

Sumit R. Das, Damian A. Galante, Robert C. Myers

Quantum Quenches in Free Field Theory: Universal Scaling at Any Rate

40 pages; v2: a bit late, but it includes minor modifications to match published version

null

10.1007/JHEP05(2016)164

null

hep-th cond-mat.stat-mech cond-mat.str-el

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

Quantum quenches display universal scaling in several regimes. For quenches which start from a gapped phase and cross a critical point, with a rate slow compared to the initial gap, many systems obey Kibble-Zurek scaling. More recently, a different scaling behaviour has been shown to occur when the quench rate is fast compared to all other physical scales, but still slow compared to the UV cutoff. We investigate the passage from fast to slow quenches in scalar and fermionic free field theories with time dependent masses for which the dynamics can be solved exactly for all quench rates. We find that renormalized one point functions smoothly cross over between the regimes.

[ { "created": "Sat, 27 Feb 2016 03:43:56 GMT", "version": "v1" }, { "created": "Wed, 7 Jun 2017 09:48:37 GMT", "version": "v2" } ]

2017-06-14

[ [ "Das", "Sumit R.", "" ], [ "Galante", "Damian A.", "" ], [ "Myers", "Robert C.", "" ] ]

Quantum quenches display universal scaling in several regimes. For quenches which start from a gapped phase and cross a critical point, with a rate slow compared to the initial gap, many systems obey Kibble-Zurek scaling. More recently, a different scaling behaviour has been shown to occur when the quench rate is fast compared to all other physical scales, but still slow compared to the UV cutoff. We investigate the passage from fast to slow quenches in scalar and fermionic free field theories with time dependent masses for which the dynamics can be solved exactly for all quench rates. We find that renormalized one point functions smoothly cross over between the regimes.

8.867565

8.132108

8.823738

7.421603

8.785028

7.439039

8.42422

8.024869

7.580865

8.991314

7.81537

8.450925

8.698921

8.322554

8.133162

8.242504

8.543357

8.306936

8.512779

9.012946

8.154988

1008.1991

Skenderis Kostas

Monica Guica, Kostas Skenderis, Marika Taylor and Balt van Rees

Holography for Schrodinger backgrounds

73 pages; v2: references added and minor improvements

JHEP 1102:056,2011

10.1007/JHEP02(2011)056

null

hep-th

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

We discuss holography for Schrodinger solutions of both topologically massive gravity in three dimensions and massive vector theories in (d+1) dimensions. In both cases the dual field theory can be viewed as a d-dimensional conformal field theory (two dimensional in the case of TMG) deformed by certain operators that respect the Schrodinger symmetry. These operators are irrelevant from the viewpoint of the relativistic conformal group but they are exactly marginal with respect to the non-relativistic conformal group. The spectrum of linear fluctuations around the background solutions corresponds to operators that are labeled by their scaling dimension and the lightcone momentum k_v. We set up the holographic dictionary and compute 2-point functions of these operators both holographically and in field theory using conformal perturbation theory and find agreement. The counterterms needed for holographic renormalization are non-local in the v lightcone direction.

[ { "created": "Wed, 11 Aug 2010 20:06:47 GMT", "version": "v1" }, { "created": "Wed, 2 Feb 2011 19:50:24 GMT", "version": "v2" } ]

2011-02-15

[ [ "Guica", "Monica", "" ], [ "Skenderis", "Kostas", "" ], [ "Taylor", "Marika", "" ], [ "van Rees", "Balt", "" ] ]

We discuss holography for Schrodinger solutions of both topologically massive gravity in three dimensions and massive vector theories in (d+1) dimensions. In both cases the dual field theory can be viewed as a d-dimensional conformal field theory (two dimensional in the case of TMG) deformed by certain operators that respect the Schrodinger symmetry. These operators are irrelevant from the viewpoint of the relativistic conformal group but they are exactly marginal with respect to the non-relativistic conformal group. The spectrum of linear fluctuations around the background solutions corresponds to operators that are labeled by their scaling dimension and the lightcone momentum k_v. We set up the holographic dictionary and compute 2-point functions of these operators both holographically and in field theory using conformal perturbation theory and find agreement. The counterterms needed for holographic renormalization are non-local in the v lightcone direction.

7.037703

7.043395

7.92211

7.308341

7.014459

7.364708

7.225651

7.127613

6.282243

8.514943

7.012842

6.658247

7.392378

6.99382

6.893418

6.960652

6.969078

6.860399

6.749452

7.649548

6.66292

2305.06534

Anom Trenggana

Anom Trenggana, Freddy P. Zen, and Getbogi Hikmawan

Decoherence Time Induced by The Noise of Primordial Graviton With Minimum Uncertainty Initial States

21 pages, 2 figures

null

hep-th gr-qc quant-ph

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

We have investigated the decoherence time induced by the primordial gravitons with minimum uncertainty initial states. This minimum uncertainty condition allows the initial state to be an entanglement or, more generally, a superposition between a vacuum and an entanglement state. We got that for initial state entanglement, the decoherence time will last a maximum of 20 seconds, similar to the initial Bunch-Davies vacuum, and if the total graviton is greater than zero, the dimensions of the experimental setup system could be reduced. We also found that quantum noise can last much longer than vacuum or entanglement states for initial state superposition, which will be maintained for $\approx 10^{19}$ seconds.

[ { "created": "Thu, 11 May 2023 02:43:33 GMT", "version": "v1" }, { "created": "Tue, 19 Sep 2023 16:34:47 GMT", "version": "v2" }, { "created": "Mon, 22 Jan 2024 15:36:17 GMT", "version": "v3" } ]

2024-01-23

[ [ "Trenggana", "Anom", "" ], [ "Zen", "Freddy P.", "" ], [ "Hikmawan", "Getbogi", "" ] ]

We have investigated the decoherence time induced by the primordial gravitons with minimum uncertainty initial states. This minimum uncertainty condition allows the initial state to be an entanglement or, more generally, a superposition between a vacuum and an entanglement state. We got that for initial state entanglement, the decoherence time will last a maximum of 20 seconds, similar to the initial Bunch-Davies vacuum, and if the total graviton is greater than zero, the dimensions of the experimental setup system could be reduced. We also found that quantum noise can last much longer than vacuum or entanglement states for initial state superposition, which will be maintained for $\approx 10^{19}$ seconds.

14.383685

14.457581

13.846767

13.114141

14.819453

13.739414

15.128965

14.076969

14.978591

14.865932

13.600622

13.171915

13.207336

12.926854

13.070936

13.28691

12.637554

13.083554

13.001168

13.134997

12.811398

0712.0537

Pelaez

Francesco Coradeschi, Stefania De Curtis, Daniele Dominici, Jos\'e R. Pelaez

Modified spontaneous symmetry breaking pattern by brane-bulk interaction terms

13 pages, two figures

JHEP0804:048,2008

10.1088/1126-6708/2008/04/048

null

hep-th hep-ph

null

We show how translational invariance can be broken by the vacuum that drives the spontaneous symmetry breaking of extra-dimensional extensions of the Standard Model, when delta-like interactions between brane and bulk scalar fields are present. We explicitly build some examples of vacuum configurations, which induce the spontaneous symmetry breaking, and have non trivial profile in the extra coordinate.

[ { "created": "Tue, 4 Dec 2007 14:57:40 GMT", "version": "v1" } ]

2008-11-26

[ [ "Coradeschi", "Francesco", "" ], [ "De Curtis", "Stefania", "" ], [ "Dominici", "Daniele", "" ], [ "Pelaez", "José R.", "" ] ]

We show how translational invariance can be broken by the vacuum that drives the spontaneous symmetry breaking of extra-dimensional extensions of the Standard Model, when delta-like interactions between brane and bulk scalar fields are present. We explicitly build some examples of vacuum configurations, which induce the spontaneous symmetry breaking, and have non trivial profile in the extra coordinate.

15.7695

14.080621

12.416525

13.471218

12.487309

15.166847

13.765776

13.476748

12.703561

14.726206

13.773182

13.530332

13.538251

12.744207

13.965497

14.200988

14.020401

13.70132

13.226337

14.452456

13.807188

1807.05603

Doron Gepner R

Vladimir Belavin and Doron Gepner

Three Blocks Solvable Lattice Models and Birman--Murakami--Wenzl Algebra

16 pages, no figure

null

10.1016/j.nuclphysb.2018.11.009

null

hep-th math-ph math.MP

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

Birman--Murakami--Wenzl (BMW) algebra was introduced in connection with knot theory. We treat here interaction round the face solvable (IRF) lattice models. We assume that the face transfer matrix obeys a cubic polynomial equation, which is called the three block case. We prove that the three block theories all obey the BMW algebra. We exemplify this result by treating in detail the $SU(2)$ $2\times 2$ fused models, and showing explicitly the BMW structure. We use the connection between the construction of solvable lattice models and conformal field theory. This result is important to the solution of IRF lattice models and the development of new models, as well as to knot theory.

[ { "created": "Sun, 15 Jul 2018 20:13:29 GMT", "version": "v1" } ]

2018-12-05

[ [ "Belavin", "Vladimir", "" ], [ "Gepner", "Doron", "" ] ]

Birman--Murakami--Wenzl (BMW) algebra was introduced in connection with knot theory. We treat here interaction round the face solvable (IRF) lattice models. We assume that the face transfer matrix obeys a cubic polynomial equation, which is called the three block case. We prove that the three block theories all obey the BMW algebra. We exemplify this result by treating in detail the $SU(2)$ $2\times 2$ fused models, and showing explicitly the BMW structure. We use the connection between the construction of solvable lattice models and conformal field theory. This result is important to the solution of IRF lattice models and the development of new models, as well as to knot theory.

14.718374

11.711953

16.305773

11.41537

11.085356

10.903516

11.208816

10.470659

10.599615

17.669176

11.149906

10.806978

13.949287

10.837277

11.324678

11.064048

10.861766

11.08019

10.745383

13.239124

10.968297

hep-th/0002021

AMIr Hossein Fatollahi

Amir H. Fatollahi

D0-Branes As Light-Front Confined Quarks

26 pages, LaTeX file, 3 .eps figures; v2: language is improved; v3: subsection 4.2 is changed- accepted for publication in EPJ.C

Eur.Phys.J.C19:749-760,2001

10.1007/s100520100640

null

hep-th hep-ph

null

We argue that different aspects of Light-Front QCD at confined phase can be recovered by the Matrix Quantum Mechanics of D0-branes. The concerning Matrix Quantum Mechanics is obtained from dimensional reduction of pure Yang-Mills theory to 0+1 dimension. The aspects of QCD dynamics which are studied in correspondence with D0-branes are: 1) phenomenological inter-quark potentials, 2) whiteness of hadrons and 3) scattering amplitudes. In addition, some other issues such as the large-N behavior, the gravity--gauge theory relation and also a possible justification for involving ``non-commutative coordinates'' in a study of QCD bound-states are discussed.

[ { "created": "Wed, 2 Feb 2000 19:41:37 GMT", "version": "v1" }, { "created": "Fri, 14 Jul 2000 11:30:16 GMT", "version": "v2" }, { "created": "Mon, 5 Mar 2001 15:10:48 GMT", "version": "v3" } ]

2009-01-07

[ [ "Fatollahi", "Amir H.", "" ] ]

We argue that different aspects of Light-Front QCD at confined phase can be recovered by the Matrix Quantum Mechanics of D0-branes. The concerning Matrix Quantum Mechanics is obtained from dimensional reduction of pure Yang-Mills theory to 0+1 dimension. The aspects of QCD dynamics which are studied in correspondence with D0-branes are: 1) phenomenological inter-quark potentials, 2) whiteness of hadrons and 3) scattering amplitudes. In addition, some other issues such as the large-N behavior, the gravity--gauge theory relation and also a possible justification for involving ``non-commutative coordinates'' in a study of QCD bound-states are discussed.

12.950942

12.002666

12.454033

11.340761

10.967258

11.19511

11.511956

10.555661

11.871806

13.76631

11.550891

11.466389

12.128786

11.834094

11.70011

12.028297

11.509491

11.936947

11.778656

12.354145

11.414651

0804.3310

Kasper Risager

Unitarity and On-Shell Recursion Methods for Scattering Amplitudes

Ph.d. thesis, slightly revised

null

hep-th

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

This thesis describes some of the recent (and some less recent) developments in calculational techniques for scattering amplitudes in quantum field theory. The focus is on on-shell recursion relations in complex momenta and on the use of unitarity methods for loop calculations. In particular, on-shell recursion is related to the MHV rules for computing tree-level gauge amplitudes and used to extend the MHV rules to graviton scattering. Combinations of unitarity cut techniques and recursion are used to argue for the "No-Triangle Hypothesis" in N=8 supergravity which is related to its UV behaviour. Finally, combinations of unitarity and recursion are used to demonstrate the full calculation of a one-loop amplitude involving a Higgs particle and four gluons in the limit of large top mass. The present version is edited to incorporate some of the comments and suggestions of the evaluation committee, but has not been updated for developments in the meantime.

[ { "created": "Mon, 21 Apr 2008 19:59:46 GMT", "version": "v1" } ]

2008-04-22

[ [ "Risager", "Kasper", "" ] ]

This thesis describes some of the recent (and some less recent) developments in calculational techniques for scattering amplitudes in quantum field theory. The focus is on on-shell recursion relations in complex momenta and on the use of unitarity methods for loop calculations. In particular, on-shell recursion is related to the MHV rules for computing tree-level gauge amplitudes and used to extend the MHV rules to graviton scattering. Combinations of unitarity cut techniques and recursion are used to argue for the "No-Triangle Hypothesis" in N=8 supergravity which is related to its UV behaviour. Finally, combinations of unitarity and recursion are used to demonstrate the full calculation of a one-loop amplitude involving a Higgs particle and four gluons in the limit of large top mass. The present version is edited to incorporate some of the comments and suggestions of the evaluation committee, but has not been updated for developments in the meantime.

8.78399

8.477163

9.288427

8.104874

8.291183

8.504987

8.009716

8.566352

7.768062

9.612494

8.462461

8.201218

8.237452

7.954197

8.223936

8.131111

8.044489

7.870718

7.920246

8.223228

8.240158

2305.03887

Andrei Zelnikov

Valeri P. Frolov, Pavel Krtous, Andrei Zelnikov

Ring wormholes and time machines

23 pages, 19 figures

null

10.1103/PhysRevD.108.024034

Alberta Thy 2-23

hep-th

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

In the present paper we discuss properties of a model of a ring wormhole, recently proposed by Gibbons and Volkov. Such a wormhole connects two flat spacetimes which are glued through discs of the radius $a$ bounded by the string with negative angle deficit $-2\pi$. The presence of the string's matter violating null energy condition makes the wormhole static and traversable. We study gravitational field of static sources in such a spacetime in the weak field approximation. In particular, we discuss how a field of an oblate thin massive shell surrounding one of the wormhole's mouth is modified by its presence. We also obtain a solution of a similar problem when both mouths of the wormhole are located in the same space. This approximate solution if found for the case when the distance $L$ between these mouths is much larger than the radius $a$ of the ring. We demonstrate that the corresponding locally static gravitational field in such a multiply connected space is non-potential. As a result of this, the proper time gap for the clock's synchronization linearly grows with time and closed timelike curves are formed. This process inevitably transforms such a traversable ring wormhole into a time machine. We estimate the time scale of this process.

[ { "created": "Sat, 6 May 2023 01:18:02 GMT", "version": "v1" } ]

2023-07-26

[ [ "Frolov", "Valeri P.", "" ], [ "Krtous", "Pavel", "" ], [ "Zelnikov", "Andrei", "" ] ]

In the present paper we discuss properties of a model of a ring wormhole, recently proposed by Gibbons and Volkov. Such a wormhole connects two flat spacetimes which are glued through discs of the radius $a$ bounded by the string with negative angle deficit $-2\pi$. The presence of the string's matter violating null energy condition makes the wormhole static and traversable. We study gravitational field of static sources in such a spacetime in the weak field approximation. In particular, we discuss how a field of an oblate thin massive shell surrounding one of the wormhole's mouth is modified by its presence. We also obtain a solution of a similar problem when both mouths of the wormhole are located in the same space. This approximate solution if found for the case when the distance $L$ between these mouths is much larger than the radius $a$ of the ring. We demonstrate that the corresponding locally static gravitational field in such a multiply connected space is non-potential. As a result of this, the proper time gap for the clock's synchronization linearly grows with time and closed timelike curves are formed. This process inevitably transforms such a traversable ring wormhole into a time machine. We estimate the time scale of this process.

11.575965

13.767531

11.025995

11.212312

12.50904

13.052703

12.697053

11.333301

12.189691

11.695024

11.959805

11.711568

11.172927

11.08047

11.290588

11.421051

11.533824

11.169648

11.273035

11.096667

11.284415

1906.02165

Yoan Gautier

Yoan Gautier, Chris M. Hull, Dan Isra\"el

Heterotic/type II Duality and Non-Geometric Compactifications

50 pages, no figure

null

10.1007/JHEP10(2019)214

null

hep-th

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

We present a new class of dualities relating non-geometric Calabi-Yau compactifications of type II string theory to T-fold compactifications of the heterotic string, both preserving four-dimensional $\mathcal{N}=2$ supersymmetry. The non-geometric Calabi-Yau space is a $K3$ fibration over $T^2$ with non-geometric monodromies in the duality group $O(\Gamma_{4,20})$; this is dual to a heterotic reduction on a $T^4$ fibration over $T^2$ with the $O(\Gamma_{4,20})$ monodromies now viewed as heterotic T-dualities. At a point in moduli space which is a minimum of the scalar potential, the type II compactification becomes an asymmetric Gepner model and the monodromies become automorphisms involving mirror symmetries, while the heterotic dual is an asymmetric toroidal orbifold. We generalise previous constructions to ones in which the automorphisms are not of prime order. The type II construction is perturbatively consistent, but the naive heterotic dual is not modular invariant. Modular invariance on the heterotic side is achieved by including twists in the circles dual to the winding numbers round the $T^2$, and this in turn introduces non-perturbative phases depending on NS5-brane charge in the type II construction.

[ { "created": "Wed, 5 Jun 2019 17:54:19 GMT", "version": "v1" } ]

2020-01-08

[ [ "Gautier", "Yoan", "" ], [ "Hull", "Chris M.", "" ], [ "Israël", "Dan", "" ] ]

We present a new class of dualities relating non-geometric Calabi-Yau compactifications of type II string theory to T-fold compactifications of the heterotic string, both preserving four-dimensional $\mathcal{N}=2$ supersymmetry. The non-geometric Calabi-Yau space is a $K3$ fibration over $T^2$ with non-geometric monodromies in the duality group $O(\Gamma_{4,20})$; this is dual to a heterotic reduction on a $T^4$ fibration over $T^2$ with the $O(\Gamma_{4,20})$ monodromies now viewed as heterotic T-dualities. At a point in moduli space which is a minimum of the scalar potential, the type II compactification becomes an asymmetric Gepner model and the monodromies become automorphisms involving mirror symmetries, while the heterotic dual is an asymmetric toroidal orbifold. We generalise previous constructions to ones in which the automorphisms are not of prime order. The type II construction is perturbatively consistent, but the naive heterotic dual is not modular invariant. Modular invariance on the heterotic side is achieved by including twists in the circles dual to the winding numbers round the $T^2$, and this in turn introduces non-perturbative phases depending on NS5-brane charge in the type II construction.

5.758422

5.60416

6.502798

5.691274

6.404783

6.202516

6.223192

5.846504

5.601442

6.854415

5.869029

5.549492

5.970348

5.557885

5.678447

5.740472

5.647963

5.777432

5.464764

6.20471

5.526417

1007.4001

Tom Banks

TASI Lectures on Holographic Space-Time, SUSY and Gravitational Effective Field Theory

LaTeX, 58 pages. Lectures given at the TASI summer school, June 2010 Version 2 fixes typos and adds important references on the infrared problem of the 4d gravitational S-matrix

null

SCIPP-2010-11, RUNHETC-2010-16

hep-th gr-qc hep-ph

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

I argue that the conventional field theoretic notion of vacuum state is not valid in quantum gravity. The arguments use gravitational effective field theory, as well as results from string theory, particularly the AdS/CFT correspondence. Different solutions of the same low energy gravitational field equations correspond to different quantum systems, rather than different states in the same system. I then introduce {\it holographic space-time} a quasi-local quantum mechanical construction based on the holographic principle. I argue that models of quantum gravity in asymptotically flat space-time will be exactly super-Poincare invariant, because the natural variables of holographic space-time for such a system, are the degrees of freedom of massless superparticles. The formalism leads to a non-singular quantum Big Bang cosmology, in which the asymptotic future is required to be a de Sitter space, with cosmological constant (c.c.) determined by cosmological initial conditions. It is also approximately SUSic in the future, with the gravitino mass $K \Lambda^{1/4}$.

[ { "created": "Thu, 22 Jul 2010 20:18:14 GMT", "version": "v1" }, { "created": "Sat, 31 Jul 2010 05:19:08 GMT", "version": "v2" }, { "created": "Thu, 23 Sep 2010 12:45:18 GMT", "version": "v3" } ]

2010-09-24

[ [ "Banks", "Tom", "" ] ]

I argue that the conventional field theoretic notion of vacuum state is not valid in quantum gravity. The arguments use gravitational effective field theory, as well as results from string theory, particularly the AdS/CFT correspondence. Different solutions of the same low energy gravitational field equations correspond to different quantum systems, rather than different states in the same system. I then introduce {\it holographic space-time} a quasi-local quantum mechanical construction based on the holographic principle. I argue that models of quantum gravity in asymptotically flat space-time will be exactly super-Poincare invariant, because the natural variables of holographic space-time for such a system, are the degrees of freedom of massless superparticles. The formalism leads to a non-singular quantum Big Bang cosmology, in which the asymptotic future is required to be a de Sitter space, with cosmological constant (c.c.) determined by cosmological initial conditions. It is also approximately SUSic in the future, with the gravitino mass $K \Lambda^{1/4}$.

11.536604

12.691833

11.489844

11.575949

11.706775

12.149838

11.99357

12.001719

11.876379

12.474933

11.061861

11.156734

11.564429

11.495738

11.337387

11.407347

11.353915

10.824759

11.369954

11.179719

11.108068

1609.06724

Giulia Ferlito

Giulia Ferlito and Amihay Hanany

A tale of two cones: the Higgs Branch of Sp(n) theories with 2n flavours

15 pages, 3 tables, 4 figures

null

hep-th

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

The purpose of this short note is to highlight a particular phenomenon which concerns the Higgs branch of a certain family of 4d N = 2 theories with SO(2N) flavour symmetry. By studying the Higgs branch as an algebraic variety through Hilbert series techniques we find that it is not a single hyperkahler cone but rather the union of two cones with intersection a hyperkahler subvariety which we specify. This remarkable phenomenon is not only interesting per se but plays a crucial role in understanding the structure of all Higgs branches that are generated by mesons.

[ { "created": "Wed, 21 Sep 2016 20:00:02 GMT", "version": "v1" } ]

2016-09-23

[ [ "Ferlito", "Giulia", "" ], [ "Hanany", "Amihay", "" ] ]

The purpose of this short note is to highlight a particular phenomenon which concerns the Higgs branch of a certain family of 4d N = 2 theories with SO(2N) flavour symmetry. By studying the Higgs branch as an algebraic variety through Hilbert series techniques we find that it is not a single hyperkahler cone but rather the union of two cones with intersection a hyperkahler subvariety which we specify. This remarkable phenomenon is not only interesting per se but plays a crucial role in understanding the structure of all Higgs branches that are generated by mesons.

9.030797

8.739941

10.298727

8.706415

9.179919

8.759234

9.14335

8.334935

8.214877

12.045835

8.875473

8.049338

9.384903

8.595438

8.486601

8.427942

8.190435

8.345965

8.43753

9.171268

8.118852

1401.6717

Kiyoshi Shiraishi

Takuya Maki and Kiyoshi Shiraishi

Magnetic Moment of Electrons near Cosmic Strings

9 pages, no figure

International Journal of Modern Physics A9, No. 11, pp. 1787-1795 (1994)

10.1142/S0217751X94000765

null

hep-th

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

We study the effect of background geometry generated by a thin cosmic string on the anomalous magnetic moment of the electron. We find that the magnitude of the quantum correction to the magnetic moment depends on the distance from the cosmic string as well as on the deficit angle.

[ { "created": "Mon, 27 Jan 2014 02:07:53 GMT", "version": "v1" } ]

2014-01-28

[ [ "Maki", "Takuya", "" ], [ "Shiraishi", "Kiyoshi", "" ] ]

We study the effect of background geometry generated by a thin cosmic string on the anomalous magnetic moment of the electron. We find that the magnitude of the quantum correction to the magnetic moment depends on the distance from the cosmic string as well as on the deficit angle.

7.058065

5.195421

5.396707

5.110251

5.539823

5.999998

5.742842

5.332503

5.669811

6.026619

5.543311

5.649592

5.774508

5.59662

5.688468

5.632008

5.601116

5.656591

5.747997

5.787174

5.553163

hep-th/9811017

David A. Lowe

David A. Lowe and Rikard von Unge

Constraints on Higher Derivative Operators in Maximally Supersymmetric Gauge Theory

6 pages, harvmac. Note added. (Only a subset of the leading irrelevant operators have been shown to be one-loop exact.)

JHEP 9811:014,1998

10.1088/1126-6708/1998/11/014

BROWN-HET-1150

hep-th

null

Following the work of Dine and Seiberg for SU(2), we study the leading irrelevant operators on the moduli space of N=4 supersymmetric SU(N) gauge theory. These operators are argued to be one-loop exact, and are explicitly computed.

[ { "created": "Mon, 2 Nov 1998 16:59:03 GMT", "version": "v1" }, { "created": "Mon, 20 Dec 1999 16:11:04 GMT", "version": "v2" } ]

2010-02-03

[ [ "Lowe", "David A.", "" ], [ "von Unge", "Rikard", "" ] ]

Following the work of Dine and Seiberg for SU(2), we study the leading irrelevant operators on the moduli space of N=4 supersymmetric SU(N) gauge theory. These operators are argued to be one-loop exact, and are explicitly computed.

10.698325

7.068475

8.681761

6.909727

6.941065

6.719627

6.803416

7.578647

6.707098

9.119647

6.779832

7.416689

8.117016

7.265525

6.992184

7.455094

7.043126

7.275919

7.030846

8.076767

7.753248

hep-th/0008044

Andreas Fring

O.A. Castro-Alvaredo and A. Fring

Identifying the Operator Content, the Homogeneous Sine-Gordon models

25 pages Latex, 4 figures, minor changes

Nucl.Phys. B604 (2001) 367-390

10.1016/S0550-3213(01)00055-4

null

hep-th cond-mat

null

We address the general question of how to reconstruct the field content of a quantum field theory from a given scattering theory in the context of the form factor program. For the $SU(3)_2$-homogeneous Sine-Gordon model we construct systematically all $n$-particle form factors for a huge class of operators in terms of general determinant formulae. We investigate how different operators are interrelated by the momentum space cluster property. Finally we compute several two-point correlation functions and carry out the ultraviolet limit in order to identify each operator with its corresponding partner in the underlying conformal field theory.

[ { "created": "Fri, 4 Aug 2000 16:27:43 GMT", "version": "v1" }, { "created": "Fri, 9 Feb 2001 15:12:06 GMT", "version": "v2" } ]

2009-10-31

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

We address the general question of how to reconstruct the field content of a quantum field theory from a given scattering theory in the context of the form factor program. For the $SU(3)_2$-homogeneous Sine-Gordon model we construct systematically all $n$-particle form factors for a huge class of operators in terms of general determinant formulae. We investigate how different operators are interrelated by the momentum space cluster property. Finally we compute several two-point correlation functions and carry out the ultraviolet limit in order to identify each operator with its corresponding partner in the underlying conformal field theory.

10.719333

9.525689

13.703979

10.571863

9.816489

9.589417

9.70724

9.341749

8.875351

15.214408

9.639386

9.628099

10.848598

10.205904

10.272889

10.311088

9.657488

10.551238

10.038055

11.500667

10.326708

1410.3433

Jorge Ananias Neto

Everton M. C. Abreu, Jorge Ananias Neto and Albert C. R. Mendes

Quantum Gravitational Correction and MOND Theory in the Holographic Equipartition Scenario

6 pages, 3 figures

null

hep-th gr-qc

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

In this paper, by using Verlinde's formalism and a modified Padmanabhan's prescription, we have obtained the lowest order quantum correction to the gravitational acceleration and MOND-type theory by considering a nonzero difference between the number of bits of the holographic screen and number of bits of the holographic screen that satisfy the equipartition theorem. We will also carry out a phase transition and critical phenomena analysis in MOND-type theory where critical exponents are obtained.

[ { "created": "Mon, 13 Oct 2014 19:00:58 GMT", "version": "v1" } ]

2014-10-14

[ [ "Abreu", "Everton M. C.", "" ], [ "Neto", "Jorge Ananias", "" ], [ "Mendes", "Albert C. R.", "" ] ]

In this paper, by using Verlinde's formalism and a modified Padmanabhan's prescription, we have obtained the lowest order quantum correction to the gravitational acceleration and MOND-type theory by considering a nonzero difference between the number of bits of the holographic screen and number of bits of the holographic screen that satisfy the equipartition theorem. We will also carry out a phase transition and critical phenomena analysis in MOND-type theory where critical exponents are obtained.

14.572221

12.383442

12.880448

11.45521

12.575385

13.451184

13.10873

10.8497

12.937208

15.069839

12.157769

12.716208

12.727474

13.092473

12.609026

12.981766

13.619212

12.243914

12.858339

12.506293

12.890083

1206.4034

Alexander Westphal

Tensor modes on the string theory landscape

LaTeX, 1+55 pages, 4 figures, v2: citations added, extended and more precise discussion of the vacuum count ratios in the 'landscape Drake equation' in section 4.4, 4.5 and in the conclusion 5

null

10.1007/JHEP04(2013)054

DESY-12-106

hep-th astro-ph.CO hep-ph

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

We attempt an estimate for the distribution of the tensor mode fraction $r$ over the landscape of vacua in string theory. The dynamics of eternal inflation and quantum tunneling lead to a kind of democracy on the landscape, providing no bias towards large-field or small-field inflation regardless of the class of measure. The tensor mode fraction then follows the number frequency distributions of inflationary mechanisms of string theory over the landscape. We show that an estimate of the relative number frequencies for small-field vs large-field inflation, while unattainable on the whole landscape, may be within reach as a regional answer for warped Calabi-Yau flux compactifications of type IIB string theory.

[ { "created": "Mon, 18 Jun 2012 19:44:13 GMT", "version": "v1" }, { "created": "Sat, 22 Dec 2012 01:03:33 GMT", "version": "v2" } ]

2015-06-05

[ [ "Westphal", "Alexander", "" ] ]

We attempt an estimate for the distribution of the tensor mode fraction $r$ over the landscape of vacua in string theory. The dynamics of eternal inflation and quantum tunneling lead to a kind of democracy on the landscape, providing no bias towards large-field or small-field inflation regardless of the class of measure. The tensor mode fraction then follows the number frequency distributions of inflationary mechanisms of string theory over the landscape. We show that an estimate of the relative number frequencies for small-field vs large-field inflation, while unattainable on the whole landscape, may be within reach as a regional answer for warped Calabi-Yau flux compactifications of type IIB string theory.

13.716349

14.343419

15.205483

12.954496

13.596894

13.222784

15.096382

13.19451

13.305296

15.841605

12.804213

13.433558

13.819478

13.091124

12.981382

13.696317

12.543032

12.964433

12.580303

13.336402

13.432946

1409.1984

Ryotaro Kase

Ryotaro Kase and Shinji Tsujikawa

Effective field theory approach to modified gravity including Horndeski theory and Ho\v{r}ava-Lifshitz gravity

27 pages

Int. J. Mod. Phys. D 23, 1443008 (2014)

10.1142/S0218271814430081

null

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

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

We review the effective field theory of modified gravity in which the Lagrangian involves three dimensional geometric quantities appearing in the 3+1 decomposition of space-time. On the flat isotropic cosmological background we expand a general action up to second order in the perturbations of geometric scalars, by taking into account spatial derivatives higher than two. Our analysis covers a wide range of gravitational theories-- including Horndeski theory/its recent generalizations and the projectable/non-projectable versions of Ho\v{r}ava-Lifshitz gravity. We derive the equations of motion for linear cosmological perturbations and apply them to the calculations of inflationary power spectra as well as the dark energy dynamics in Galileon theories. We also show that our general results conveniently recover stability conditions of Ho\v{r}ava-Lifshitz gravity already derived in the literature.

[ { "created": "Sat, 6 Sep 2014 06:06:49 GMT", "version": "v1" }, { "created": "Mon, 23 Feb 2015 10:49:25 GMT", "version": "v2" } ]

2015-02-24

[ [ "Kase", "Ryotaro", "" ], [ "Tsujikawa", "Shinji", "" ] ]

We review the effective field theory of modified gravity in which the Lagrangian involves three dimensional geometric quantities appearing in the 3+1 decomposition of space-time. On the flat isotropic cosmological background we expand a general action up to second order in the perturbations of geometric scalars, by taking into account spatial derivatives higher than two. Our analysis covers a wide range of gravitational theories-- including Horndeski theory/its recent generalizations and the projectable/non-projectable versions of Ho\v{r}ava-Lifshitz gravity. We derive the equations of motion for linear cosmological perturbations and apply them to the calculations of inflationary power spectra as well as the dark energy dynamics in Galileon theories. We also show that our general results conveniently recover stability conditions of Ho\v{r}ava-Lifshitz gravity already derived in the literature.

9.155399

9.918668

8.765088

8.752052

9.396295

9.411568

9.205453

8.360558

8.166976

9.372802

9.189574

9.167846

8.487346

8.517654

9.208296

8.940971

8.984646

8.773491

8.808405

8.720107

8.806637

1403.7278

Lee Peng Teo

L. P. Teo

Casimir interaction between spheres in $\boldsymbol{(D+1)}$-dimensional Minkowski spacetime

23 pages

null

10.1007/JHEP05(2014)016

null

hep-th

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

We consider the Casimir interaction between two spheres in $(D+1)$-dimensional Minkowski spacetime due to the vacuum fluctuations of scalar fields. We consider combinations of Dirichlet and Neumann boundary conditions. The TGTG formula of the Casimir interaction energy is derived. The computations of the T matrices of the two spheres are straightforward. To compute the two G matrices, known as translation matrices, which relate the hyper-spherical waves in two spherical coordinate frames differ by a translation, we generalize the operator approach employed in [IEEE Trans. Antennas Propag. \textbf{36}, 1078 (1988)]. The result is expressed in terms of an integral over Gegenbauer polynomials. Using our expression for the Casimir interaction energy, we derive the large separation and small separation asymptotic expansions of the Casimir interaction energy. In the large separation regime, we find that the Casimir interaction energy is of order $L^{-2D+3}$, $L^{-2D+1}$ and $L^{-2D-1}$ respectively for Dirichlet-Dirichlet, Dirichlet-Neumann and Neumann-Neumann boundary conditions, where $L$ is the center-to-center distance of the two spheres. In the small separation regime, we confirm that the leading term of the Casimir interaction agrees with the proximity force approximation, which is of order $d^{-\frac{D+1}{2}}$, where $d$ is the distance between the two spheres. Another main result of this work is the analytic computations of the next-to-leading order term in the small separation asymptotic expansion. This term is computed using careful order analysis as well as perturbation method. We find that when $D$ is large, the ratio of the next-to-leading order term to the leading order term is linear in $D$, indicating a larger correction at higher dimensions.

[ { "created": "Fri, 28 Mar 2014 04:15:39 GMT", "version": "v1" } ]

2015-06-19

[ [ "Teo", "L. P.", "" ] ]

We consider the Casimir interaction between two spheres in $(D+1)$-dimensional Minkowski spacetime due to the vacuum fluctuations of scalar fields. We consider combinations of Dirichlet and Neumann boundary conditions. The TGTG formula of the Casimir interaction energy is derived. The computations of the T matrices of the two spheres are straightforward. To compute the two G matrices, known as translation matrices, which relate the hyper-spherical waves in two spherical coordinate frames differ by a translation, we generalize the operator approach employed in [IEEE Trans. Antennas Propag. \textbf{36}, 1078 (1988)]. The result is expressed in terms of an integral over Gegenbauer polynomials. Using our expression for the Casimir interaction energy, we derive the large separation and small separation asymptotic expansions of the Casimir interaction energy. In the large separation regime, we find that the Casimir interaction energy is of order $L^{-2D+3}$, $L^{-2D+1}$ and $L^{-2D-1}$ respectively for Dirichlet-Dirichlet, Dirichlet-Neumann and Neumann-Neumann boundary conditions, where $L$ is the center-to-center distance of the two spheres. In the small separation regime, we confirm that the leading term of the Casimir interaction agrees with the proximity force approximation, which is of order $d^{-\frac{D+1}{2}}$, where $d$ is the distance between the two spheres. Another main result of this work is the analytic computations of the next-to-leading order term in the small separation asymptotic expansion. This term is computed using careful order analysis as well as perturbation method. We find that when $D$ is large, the ratio of the next-to-leading order term to the leading order term is linear in $D$, indicating a larger correction at higher dimensions.

4.818729

4.499386

4.951142

4.429183

4.806354

4.966311

4.720784

4.490976

4.379725

5.118524

4.455493

4.679283

4.84567

4.504529

4.639298

4.737924

4.608469

4.602779

4.624636

4.754533

4.708057

0706.0782

Yu Nakayama

D-dualized D-brane

17 pages, v2: references and comments added, v3: references added

JHEP 0708:085,2007

10.1088/1126-6708/2007/08/085

UT-KOMABA/07-7

hep-th

null

We further investigate the dimensional duality (D-duality) proposed in arXiv:0705.0550 by mainly focusing on the properties of D-branes in this background. We derive the world-sheet correspondence of static D-branes, and discuss the fate of non-static D-branes from the world-sheet viewpoint. The quantum string production with or without D-branes is also studied from the time-like Liouville theory. We find that the closed string production from the background is much larger than that from D-branes decaying into nothing.

[ { "created": "Wed, 6 Jun 2007 08:34:43 GMT", "version": "v1" }, { "created": "Tue, 19 Jun 2007 07:00:29 GMT", "version": "v2" }, { "created": "Wed, 20 Jun 2007 03:39:42 GMT", "version": "v3" } ]

2009-04-17

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

We further investigate the dimensional duality (D-duality) proposed in arXiv:0705.0550 by mainly focusing on the properties of D-branes in this background. We derive the world-sheet correspondence of static D-branes, and discuss the fate of non-static D-branes from the world-sheet viewpoint. The quantum string production with or without D-branes is also studied from the time-like Liouville theory. We find that the closed string production from the background is much larger than that from D-branes decaying into nothing.

10.540833

10.478232

10.918732

9.907049

10.423301

10.115762

10.414589

10.167966

10.051553

12.45707

9.819498

9.445773

10.913867

9.744092

10.232871

9.735342

10.013783

9.897299

9.89764

10.796785

9.680335

hep-th/0605032

Takao Suyama

CFT for Closed String Tachyon Condensation

20 pages

Prog.Theor.Phys.117:359,2007

10.1143/PTP.117.359

KUNS-2023

hep-th

null

We construct a class of CFT's which describe space-dependent closed string tachyon backgrounds, as the IR limit of GLSM's in which the FI-parameter is promoted to a superfield. Whole process of tachyon condensation is described by a single CFT. We apply this construction to several examples, in which target space is deformed drastically, and the dilaton background may vary, as a tachyon condenses.

[ { "created": "Wed, 3 May 2006 05:56:49 GMT", "version": "v1" }, { "created": "Tue, 16 May 2006 04:58:44 GMT", "version": "v2" } ]

2008-11-26

[ [ "Suyama", "Takao", "" ] ]

We construct a class of CFT's which describe space-dependent closed string tachyon backgrounds, as the IR limit of GLSM's in which the FI-parameter is promoted to a superfield. Whole process of tachyon condensation is described by a single CFT. We apply this construction to several examples, in which target space is deformed drastically, and the dilaton background may vary, as a tachyon condenses.

13.255655

11.090385

14.408542

11.974276

12.535712

11.648052

12.401285

12.809604

11.47559

12.009847

11.419158

11.278923

12.855485

11.903655

11.330118

11.867092

11.495796

11.530066

11.702798

11.640561

11.107692

1310.5056

Thomas Mohaupt

Paul Dempster, Thomas Mohaupt

Non-extremal and non-BPS extremal five-dimensional black strings from generalized special real geometry

46 pages

null

10.1088/0264-9381/31/4/045019

LTH-989

hep-th

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

We construct non-extremal as well as extremal black string solutions in minimal five-dimensional supergravity coupled to vector multiplets using dimensional reduction to three Euclidean dimensions. Our method does not assume that the scalar manifold is a symmetric space, and applies as well to a class of non-supersymmetric theories governed by a generalization of special real geometry. We find that five-dimensional black string solutions correspond to geodesics in a specific totally geodesic para-K\"ahler submanifold of the scalar manifold of the dimensionally reduced theory, and identify the subset of geodesics that corresponds to regular black string solutions in five dimensions. BPS and non-BPS extremal solutions are distinguished by whether the corresponding geodesics are along the eigendirections of the para-complex structure or not, a characterization which carries over to non-supersymmetric theories. For non-extremal black strings the values of the scalars at the outer and inner horizon are not independent integration constants but determined by certain functions of the charges and moduli. By lifting solutions from three to four dimensions we obtain non-extremal versions of small black holes, and find that while the outer horizon takes finite size, the inner horizon is still degenerate.

[ { "created": "Fri, 18 Oct 2013 15:23:46 GMT", "version": "v1" } ]

2015-06-17

[ [ "Dempster", "Paul", "" ], [ "Mohaupt", "Thomas", "" ] ]

We construct non-extremal as well as extremal black string solutions in minimal five-dimensional supergravity coupled to vector multiplets using dimensional reduction to three Euclidean dimensions. Our method does not assume that the scalar manifold is a symmetric space, and applies as well to a class of non-supersymmetric theories governed by a generalization of special real geometry. We find that five-dimensional black string solutions correspond to geodesics in a specific totally geodesic para-K\"ahler submanifold of the scalar manifold of the dimensionally reduced theory, and identify the subset of geodesics that corresponds to regular black string solutions in five dimensions. BPS and non-BPS extremal solutions are distinguished by whether the corresponding geodesics are along the eigendirections of the para-complex structure or not, a characterization which carries over to non-supersymmetric theories. For non-extremal black strings the values of the scalars at the outer and inner horizon are not independent integration constants but determined by certain functions of the charges and moduli. By lifting solutions from three to four dimensions we obtain non-extremal versions of small black holes, and find that while the outer horizon takes finite size, the inner horizon is still degenerate.

7.204331

7.692924

7.763307

6.847244

7.186517

7.383236

7.385747

7.281271

7.110487

8.737401

7.2651

7.062994

7.221621

6.93897

6.908991

7.103228

7.002475

7.004541

7.021296

7.332695

6.824606

hep-th/0207025

F. Loran

Comment on "Constraint Quantization of Open String in Background B field and Noncommutative D-brane"

minor corrections, to appear in Phys.Lett. B

Phys.Lett. B544 (2002) 199-201

10.1016/S0370-2693(02)02482-6

null

hep-th

null

In the paper "Constraint Quantization of Open String in Background $B$ field and Noncommutative D-brane", it is claimed that the boundary conditions lead to an infinite set of secondary constraints and Dirac brackets result in a non-commutative Poisson structure for D-brain. Here we show that contrary to the arguments in that paper, the set of secondary constraints on the boundary is finite and the non-commutativity algebra can not be obtained by evaluating the Dirac brackets.

[ { "created": "Tue, 2 Jul 2002 15:03:47 GMT", "version": "v1" }, { "created": "Sun, 11 Aug 2002 08:03:36 GMT", "version": "v2" } ]

2009-11-07

[ [ "Loran", "F.", "" ] ]

In the paper "Constraint Quantization of Open String in Background $B$ field and Noncommutative D-brane", it is claimed that the boundary conditions lead to an infinite set of secondary constraints and Dirac brackets result in a non-commutative Poisson structure for D-brain. Here we show that contrary to the arguments in that paper, the set of secondary constraints on the boundary is finite and the non-commutativity algebra can not be obtained by evaluating the Dirac brackets.

8.66373

8.464204

9.721261

8.237037

8.439073

8.520495

7.447558

7.784726

8.166169

9.260399

8.745614

7.778205

8.767109

8.331858

8.081947

8.01027

7.816374

8.162691

7.833956

9.065

7.721624

2104.01416

Gabriel Condur\'u Magalh\~aes

Gabriel C. Magalh\~aes, Van S. Alves, Leandro O. Nascimento, Eduardo C. Marino

Bosonization, mass generation, and the pseudo Chern-Simons action

null

Phys. Rev. D 103, 116022 (2021)

10.1103/PhysRevD.103.116022

null

hep-th

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

We discuss several aspects of a generalization of the Chern-Simons action containing the pseudo-differential operator$\sqrt{-\Box}$, which we shall call pseudo Chern-Simons (PCS). Firstly, we derive the PCS from the bosonization of free massive Dirac particles in (2+1)D in the limit when $m^2\ll p^2$, where $m$ is the fermion mass and $p$ is its momentum. In this regime, the whole bosonized action also has a modified Maxwell term, involving the same pseudo-differential operator. Furthermore, the large-mass $m^2\gg p^2$ regime is also considered. We also investigate the main effects of the PCS term into the Pseudo quantum electrodynamics (PQED), which describes the electromagnetic interactions between charged particles in (2+1)D. We show that the massless gauge field of PQED becomes massive in the presence of a PCS term, without the need of a Higgs mechanism. In the nonrelativistic limit, we show that the static potential has a repulsive term (given by the Coulomb potential) and an attractive part (given by a sum of special functions), whose competition generates bound states of particles with the same charge. Having in mind two-dimensional materials, we also conclude that the presence of a PCS term does not affect the renormalization either of the Fermi velocity and of the band gap in a Dirac-like material.

[ { "created": "Sat, 3 Apr 2021 14:12:53 GMT", "version": "v1" }, { "created": "Tue, 1 Jun 2021 11:57:14 GMT", "version": "v2" } ]

2021-06-30

[ [ "Magalhães", "Gabriel C.", "" ], [ "Alves", "Van S.", "" ], [ "Nascimento", "Leandro O.", "" ], [ "Marino", "Eduardo C.", "" ] ]

We discuss several aspects of a generalization of the Chern-Simons action containing the pseudo-differential operator$\sqrt{-\Box}$, which we shall call pseudo Chern-Simons (PCS). Firstly, we derive the PCS from the bosonization of free massive Dirac particles in (2+1)D in the limit when $m^2\ll p^2$, where $m$ is the fermion mass and $p$ is its momentum. In this regime, the whole bosonized action also has a modified Maxwell term, involving the same pseudo-differential operator. Furthermore, the large-mass $m^2\gg p^2$ regime is also considered. We also investigate the main effects of the PCS term into the Pseudo quantum electrodynamics (PQED), which describes the electromagnetic interactions between charged particles in (2+1)D. We show that the massless gauge field of PQED becomes massive in the presence of a PCS term, without the need of a Higgs mechanism. In the nonrelativistic limit, we show that the static potential has a repulsive term (given by the Coulomb potential) and an attractive part (given by a sum of special functions), whose competition generates bound states of particles with the same charge. Having in mind two-dimensional materials, we also conclude that the presence of a PCS term does not affect the renormalization either of the Fermi velocity and of the band gap in a Dirac-like material.

7.318144

6.929367

7.373957

6.939177

7.303441

7.17715

7.185983

7.182466

7.099765

7.952794

7.002637

7.047544

7.145161

6.980891

7.106007

7.082417

7.112793

6.901289

7.003452

7.135314

7.150343

2107.10282

Erfan Esmaeili

Erfan Esmaeili, Vahid Hosseinzadeh

$p$-Form Surface Charges on AdS: Renormalization and Conservation

28 pages

null

10.1007/JHEP11(2021)062

null

hep-th

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

Surface charges of a $p$-form theory on the boundary of an AdS$_{d+1}$ spacetime are computed. Counter-terms on the boundary produce divergent corner-terms which holographically renormalize the symplectic form. Different choices of boundary conditions lead to various expressions for the charges and the associated fluxes. With the usual standard AdS boundary conditions, there are conserved zero-mode charges. Moreover, we explore two leaky boundary conditions which admit an infinite number of charges forming an Abelian algebra and non-vanishing flux. Finally, we discuss magnetic $p$-form charges and electric/magnetic duality.

[ { "created": "Wed, 21 Jul 2021 18:01:09 GMT", "version": "v1" } ]

2021-11-24

[ [ "Esmaeili", "Erfan", "" ], [ "Hosseinzadeh", "Vahid", "" ] ]

Surface charges of a $p$-form theory on the boundary of an AdS$_{d+1}$ spacetime are computed. Counter-terms on the boundary produce divergent corner-terms which holographically renormalize the symplectic form. Different choices of boundary conditions lead to various expressions for the charges and the associated fluxes. With the usual standard AdS boundary conditions, there are conserved zero-mode charges. Moreover, we explore two leaky boundary conditions which admit an infinite number of charges forming an Abelian algebra and non-vanishing flux. Finally, we discuss magnetic $p$-form charges and electric/magnetic duality.

11.98035

10.471498

11.873916

10.490362

11.049971

10.85672

11.193607

10.358344

10.581923

13.192567

10.764566

10.896346

11.961515

11.198994

11.069659

11.152208

11.044516

11.159842

11.089355

11.246263

11.157415

1811.05904

Pinaki Banerjee

Pinaki Banerjee, Alok Laddha and Prashanth Raman

Stokes Polytopes : The positive geometry for $\phi^{4}$ interactions

typos corrected, improvement in explanation of Stokes polytopes (combinatorial vs. convex realisation) and the Q-compatibility rule; accepted for publication in JHEP

null

10.1007/JHEP08(2019)067

null

hep-th

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

In a remarkable recent work [arXiv : 1711.09102] by Arkani-Hamed et al, the amplituhedron program was extended to the realm of non-supersymmetric scattering amplitudes. In particular it was shown that for tree-level planar diagrams in massless $\phi^{3}$ theory (and its close cousin, bi-adjoint $\phi^{3}$ theory) a polytope known as the associahedron sits inside the kinematic space and is the amplituhedron for the theory. Precisely as in the case of amplituhedron, it was shown that scattering amplitude is nothing but residue of the canonical form associated to the associahedron. Combinatorial and geometric properties of associahedron naturally encode properties like locality and unitarity of (tree level) scattering amplitudes. In this paper we attempt to extend this program to planar amplitudes in massless $\phi^{4}$ theory. We show that tree-level planar amplitudes in this theory can be obtained from geometry of objects known as the Stokes polytope which sits naturally inside the kinematic space. As in the case of associahedron we show that residues of the canonical form on these Stokes polytopes can be used to compute scattering amplitudes for quartic interactions. However unlike associahedron, Stokes polytope of a given dimension is not unique and as we show, one must sum over all of them to obtain the complete scattering amplitude. Not all Stokes polytopes contribute equally and we argue that the corresponding weights depend on purely combinatorial properties of the Stokes polytopes. As in the case of $\phi^{3}$ theory, we show how factorization of Stokes polytope implies unitarity and locality of the amplitudes.

[ { "created": "Wed, 14 Nov 2018 16:57:38 GMT", "version": "v1" }, { "created": "Mon, 21 Jan 2019 14:43:05 GMT", "version": "v2" }, { "created": "Sat, 3 Aug 2019 10:35:59 GMT", "version": "v3" } ]

2019-09-04

[ [ "Banerjee", "Pinaki", "" ], [ "Laddha", "Alok", "" ], [ "Raman", "Prashanth", "" ] ]

In a remarkable recent work [arXiv : 1711.09102] by Arkani-Hamed et al, the amplituhedron program was extended to the realm of non-supersymmetric scattering amplitudes. In particular it was shown that for tree-level planar diagrams in massless $\phi^{3}$ theory (and its close cousin, bi-adjoint $\phi^{3}$ theory) a polytope known as the associahedron sits inside the kinematic space and is the amplituhedron for the theory. Precisely as in the case of amplituhedron, it was shown that scattering amplitude is nothing but residue of the canonical form associated to the associahedron. Combinatorial and geometric properties of associahedron naturally encode properties like locality and unitarity of (tree level) scattering amplitudes. In this paper we attempt to extend this program to planar amplitudes in massless $\phi^{4}$ theory. We show that tree-level planar amplitudes in this theory can be obtained from geometry of objects known as the Stokes polytope which sits naturally inside the kinematic space. As in the case of associahedron we show that residues of the canonical form on these Stokes polytopes can be used to compute scattering amplitudes for quartic interactions. However unlike associahedron, Stokes polytope of a given dimension is not unique and as we show, one must sum over all of them to obtain the complete scattering amplitude. Not all Stokes polytopes contribute equally and we argue that the corresponding weights depend on purely combinatorial properties of the Stokes polytopes. As in the case of $\phi^{3}$ theory, we show how factorization of Stokes polytope implies unitarity and locality of the amplitudes.

4.936401

4.627051

5.262442

4.596407

4.818087

4.766955

4.854119

4.526749

4.638833

5.868021

4.551826

4.686892

4.849501

4.760171

4.692015

4.748317

4.750305

4.695304

4.732471

4.961585

4.668634

0808.1213

Diego Mansi

Diego S. Mansi, Anastasios C. Petkou and Giovanni Tagliabue

Gravity in the 3+1-Split Formalism II: Self-Duality and the Emergence of the Gravitational Chern-Simons in the Boundary

25 pages; v2: minor improvements, references added

Class.Quant.Grav.26:045009,2009

10.1088/0264-9381/26/4/045009

null

hep-th

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

We study self-duality in the context of the 3+1-split formalism of gravity with non-zero cosmological constant. Lorentzian self-dual configurations are conformally flat spacetimes and have boundary data determined by classical solutions of the three-dimensional gravitational Chern-Simons. For Euclidean self-dual configurations, the relationship between their boundary initial positions and initial velocity is also determined by the three-dimensional gravitational Chern-Simons. Our results imply that bulk self-dual configurations are holographically described by the gravitational Chern-Simons theory which can either viewed as a boundary generating functional or as a boundary effective action.

[ { "created": "Fri, 8 Aug 2008 19:25:07 GMT", "version": "v1" }, { "created": "Fri, 28 Nov 2008 15:06:00 GMT", "version": "v2" } ]

2009-02-09

[ [ "Mansi", "Diego S.", "" ], [ "Petkou", "Anastasios C.", "" ], [ "Tagliabue", "Giovanni", "" ] ]

We study self-duality in the context of the 3+1-split formalism of gravity with non-zero cosmological constant. Lorentzian self-dual configurations are conformally flat spacetimes and have boundary data determined by classical solutions of the three-dimensional gravitational Chern-Simons. For Euclidean self-dual configurations, the relationship between their boundary initial positions and initial velocity is also determined by the three-dimensional gravitational Chern-Simons. Our results imply that bulk self-dual configurations are holographically described by the gravitational Chern-Simons theory which can either viewed as a boundary generating functional or as a boundary effective action.

10.728264

10.868965

10.408133

10.098056

10.622305

10.359354

11.123784

10.943339

10.293992

12.616188

10.005836

10.163356

10.563632

10.150702

10.001989

9.92222

10.231976

10.628213

10.163426

10.822975

10.135635

1502.05526

Horatiu Stefan Nastase

Carlos Cardona, Cristhiam Lopez-Arcos and Horatiu Nastase

Abelian reductions of deformed ${\cal N}=4$ SYM

17 pages, no figures

null

10.1016/j.nuclphysb.2015.06.008

null

hep-th

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

Following the work in \cite{Mohammed:2012gi}, where the massive ABJM model in 2+1 dimensions was shown to have an abelian reduction to the relativistic Landau-Ginzburg, and motivated by the implications for condensed matter through AdS/CFT, we show that a FI deformation of ${\cal N}=4$ SYM in 3+1 dimensions with a mass term can also be reduced to a relativistic Landau-Ginzburg model, with the possibility of coupling it to a real scalar, whereas the simply mass deformed ${\cal N}=4$ SYM reduces only to a massive $\phi^4$ model (scalar QED) coupled to a real scalar. We study the classical solutions of the model, in particular vortex solutions.

[ { "created": "Thu, 19 Feb 2015 11:01:00 GMT", "version": "v1" } ]

2015-12-09

[ [ "Cardona", "Carlos", "" ], [ "Lopez-Arcos", "Cristhiam", "" ], [ "Nastase", "Horatiu", "" ] ]

Following the work in \cite{Mohammed:2012gi}, where the massive ABJM model in 2+1 dimensions was shown to have an abelian reduction to the relativistic Landau-Ginzburg, and motivated by the implications for condensed matter through AdS/CFT, we show that a FI deformation of ${\cal N}=4$ SYM in 3+1 dimensions with a mass term can also be reduced to a relativistic Landau-Ginzburg model, with the possibility of coupling it to a real scalar, whereas the simply mass deformed ${\cal N}=4$ SYM reduces only to a massive $\phi^4$ model (scalar QED) coupled to a real scalar. We study the classical solutions of the model, in particular vortex solutions.

9.008586

7.874017

8.750396

7.447734

8.049454

7.876124

7.875408

7.349204

7.574326

9.135442

7.637471

8.142959

8.540933

7.978452

8.071256

8.076946

7.808842

7.960299

7.982487

8.473322

7.936885

hep-th/0212145

Jason Kumar

Jason Kumar, Arvind Rajaraman

New Supergravity Solutions for Branes in AdS_3 x S^3

13 pages, LaTeX. References added and minor errors fixed

Phys.Rev. D67 (2003) 125005

10.1103/PhysRevD.67.125005

null

hep-th

null

We find explicit supergravity solutions which describe branes in the AdS_3 x S^3 background. These solutions preserve 8 of the 16 supersymmetries of this background, and are consistent with kappa-symmetry. These represent new 1/2-BPS states of string theory.

[ { "created": "Thu, 12 Dec 2002 19:08:56 GMT", "version": "v1" }, { "created": "Mon, 13 Jan 2003 23:40:06 GMT", "version": "v2" } ]

2009-11-07

[ [ "Kumar", "Jason", "" ], [ "Rajaraman", "Arvind", "" ] ]

We find explicit supergravity solutions which describe branes in the AdS_3 x S^3 background. These solutions preserve 8 of the 16 supersymmetries of this background, and are consistent with kappa-symmetry. These represent new 1/2-BPS states of string theory.

7.150502

5.190194

7.2946

4.864679

4.610102

4.609267

4.621475

4.57591

4.699189

7.928362

4.650208

5.401211

6.864142

5.363896

5.442886

5.331523

5.423932

5.1688

5.369103

6.740746

5.258663

1505.05319

Alexandre Rodrigues Vieira M. Sc.

A. R. Vieira, J. C. C. Felipe, G. Gazzola, Marcos Sampaio

One-loop conformal anomaly in an implicit momentum space regularization framework

in European Physical Journal C, 2015

null

10.1140/epjc/s10052-015-3561-z

null

hep-th

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

In this paper we consider matter fields in a gravitational background in order to compute the breaking of the conformal current at one-loop order. Standard perturbative calculations of conformal symmetry breaking expressed by the non-zero trace of the energy-momentum tensor have shown that some violating terms are regularization dependent, which may suggest the existence of spurious breaking terms in the anomaly. Therefore, we perform the calculation in a momentum space regularization framework in which regularization dependent terms are judiciously parametrized. We compare our results with those obtained in the literature and conclude that there is an unavoidable arbitrariness in the anomalous term $\Box R$.

[ { "created": "Wed, 20 May 2015 11:12:59 GMT", "version": "v1" }, { "created": "Wed, 22 Jul 2015 13:12:26 GMT", "version": "v2" } ]

2015-07-23

[ [ "Vieira", "A. R.", "" ], [ "Felipe", "J. C. C.", "" ], [ "Gazzola", "G.", "" ], [ "Sampaio", "Marcos", "" ] ]

In this paper we consider matter fields in a gravitational background in order to compute the breaking of the conformal current at one-loop order. Standard perturbative calculations of conformal symmetry breaking expressed by the non-zero trace of the energy-momentum tensor have shown that some violating terms are regularization dependent, which may suggest the existence of spurious breaking terms in the anomaly. Therefore, we perform the calculation in a momentum space regularization framework in which regularization dependent terms are judiciously parametrized. We compare our results with those obtained in the literature and conclude that there is an unavoidable arbitrariness in the anomalous term $\Box R$.

12.63894

12.06408

13.268908

11.405652

12.864669

11.844854

11.63873

11.304565

12.200423

13.942322

11.262431

11.711145

11.744751

11.735153

11.719954

11.881743

11.801242

12.284295

11.778625

12.201356

11.867534

hep-th/0401240

Werner Ruehl

T. Leonhardt, R. Manvelyan and W. Ruehl

Coupling of Higher Spin Gauge Fields to a Scalar Field in $AdS_{d+1}$ and their Holographic Images in the $d$-Dimensional Sigma Model

19 pages, Latex

null

hep-th

null

The three-point functions of two scalar fields $\sigma$ and the higher spin field $h^{(\ell)}$ of HS(4) on the one side and of their proposed holographic images $\alpha$ and $\mathcal{J^{(\ell)}}$ of the minimal conformal O(N) sigma model of dimension three on the other side are evaluated at leading perturbative order and compared in order to fix the coupling constant of HS(4). This necessitates a careful analysis of the local current $\Psi^{(\ell)}$ to which $h^{(\ell)}$ couples in HS(4) and which is bilinear in $\sigma$.

[ { "created": "Fri, 30 Jan 2004 13:54:48 GMT", "version": "v1" } ]

2007-05-23

[ [ "Leonhardt", "T.", "" ], [ "Manvelyan", "R.", "" ], [ "Ruehl", "W.", "" ] ]

The three-point functions of two scalar fields $\sigma$ and the higher spin field $h^{(\ell)}$ of HS(4) on the one side and of their proposed holographic images $\alpha$ and $\mathcal{J^{(\ell)}}$ of the minimal conformal O(N) sigma model of dimension three on the other side are evaluated at leading perturbative order and compared in order to fix the coupling constant of HS(4). This necessitates a careful analysis of the local current $\Psi^{(\ell)}$ to which $h^{(\ell)}$ couples in HS(4) and which is bilinear in $\sigma$.

9.573689

9.414822

10.87307

9.080256

9.207856

9.233705

8.93476

9.839262

9.669502

11.316161

8.912169

9.01339

9.704402

8.795259

8.568946

8.718887

8.449603

8.7026

8.637704

9.694594

8.826573

2109.12539

Tsunehide Kuroki

Shinji Hirano and Tsunehide Kuroki

Replica Wormholes from Liouville Theory

22 pages, 4 figures. v2: references added, minor revision. v3: improved discussion on two cosmic branes, published version

null

10.1007/JHEP01(2022)094

YITP-21-100

hep-th

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

The replica wormholes are a key to the existence of the islands that play a central role in a recent proposal for the resolution of the black hole information paradox. In this paper, we study the replica wormholes in the JT gravity, a model of two-dimensional quantum gravity coupled to a non-dynamical dilaton, by making use of the 2$d$ conformal field theory (CFT) description, namely, the Liouville theory coupled to the $(2,p)$ minimal matter in the $p\to\infty$ limit. In the Liouville CFT description, the replica wormholes are created by the twist operators and the gravitational part of the bulk entanglement entropy can be reproduced from the twist operator correlators. We propose the precise dictionary and show how this correspondence works in detail.

[ { "created": "Sun, 26 Sep 2021 09:14:35 GMT", "version": "v1" }, { "created": "Thu, 30 Sep 2021 18:03:07 GMT", "version": "v2" }, { "created": "Sun, 2 Jan 2022 14:33:29 GMT", "version": "v3" } ]

2022-02-09

[ [ "Hirano", "Shinji", "" ], [ "Kuroki", "Tsunehide", "" ] ]

The replica wormholes are a key to the existence of the islands that play a central role in a recent proposal for the resolution of the black hole information paradox. In this paper, we study the replica wormholes in the JT gravity, a model of two-dimensional quantum gravity coupled to a non-dynamical dilaton, by making use of the 2$d$ conformal field theory (CFT) description, namely, the Liouville theory coupled to the $(2,p)$ minimal matter in the $p\to\infty$ limit. In the Liouville CFT description, the replica wormholes are created by the twist operators and the gravitational part of the bulk entanglement entropy can be reproduced from the twist operator correlators. We propose the precise dictionary and show how this correspondence works in detail.

6.504904

5.452533

6.525336

5.538743

5.670836

5.711569

5.530535

5.277497

5.24849

7.100083

5.496799

5.517345

6.238805

5.706604

5.662903

5.619608

5.752044

5.522375

5.627252

6.02816

5.436279

1701.00063

Reza Fareghbal

Mohammad Asadi, Omid Baghchesaraei, Reza Fareghbal

Stress Tensor Correlators of CCFT$_2$ using Flat-Space Holography

12 pages V2: typos corrected V3: Minor revision V4: Published version

Eur.Phys.J. C77 (2017) no.11, 737

10.1140/epjc/s10052-017-5333-4

null

hep-th

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

We use the correspondence between three-dimensional asymptotically flat spacetimes and two-dimensional contracted conformal field theories (CCFTs) to derive the stress tensor correlators of CCFT$_2$. On the gravity side we use the metric formulation instead of the Chern-Simons formulation of three-dimensional gravity. This method can also be used for four-dimensional case where there is no Chern-Simons formulation for the bulk theory.

[ { "created": "Sat, 31 Dec 2016 05:33:26 GMT", "version": "v1" }, { "created": "Mon, 23 Jan 2017 15:11:24 GMT", "version": "v2" }, { "created": "Thu, 26 Oct 2017 11:46:18 GMT", "version": "v3" }, { "created": "Wed, 15 Nov 2017 15:49:34 GMT", "version": "v4" } ]

2017-11-16

[ [ "Asadi", "Mohammad", "" ], [ "Baghchesaraei", "Omid", "" ], [ "Fareghbal", "Reza", "" ] ]

We use the correspondence between three-dimensional asymptotically flat spacetimes and two-dimensional contracted conformal field theories (CCFTs) to derive the stress tensor correlators of CCFT$_2$. On the gravity side we use the metric formulation instead of the Chern-Simons formulation of three-dimensional gravity. This method can also be used for four-dimensional case where there is no Chern-Simons formulation for the bulk theory.

7.590045

5.952961

6.554897

5.874688

6.030209

5.868854

6.652563

5.744426

6.000196

7.129045

6.029398

6.108871

7.4248

6.238236

6.243889

6.426586

6.081542

6.320123

6.425177

7.102918

6.137979

hep-th/0601122

Haba Zbigniew

Z. Haba

Quantum field theory with an interaction on the boundary

15 pages

AnnalsPhys.321:2286-2298,2006

10.1016/j.aop.2006.04.013

null

hep-th cond-mat.stat-mech

null

We consider quantum theory of fields \phi defined on a D dimensional manifold (bulk) with an interaction V(\phi) concentrated on a d<D dimensional surface (brane). Such a quantum field theory can be less singular than the one in d dimensions with the interaction $V(\phi)$. It is shown that scaling properties of fields on the brane are different from the ones in the bulk.

[ { "created": "Wed, 18 Jan 2006 12:58:00 GMT", "version": "v1" } ]

2008-11-26

[ [ "Haba", "Z.", "" ] ]

We consider quantum theory of fields \phi defined on a D dimensional manifold (bulk) with an interaction V(\phi) concentrated on a d<D dimensional surface (brane). Such a quantum field theory can be less singular than the one in d dimensions with the interaction $V(\phi)$. It is shown that scaling properties of fields on the brane are different from the ones in the bulk.

12.662046

10.908132

12.127271

9.4405

10.897001

8.335357

9.361876

9.665415

9.731668

12.016831

9.742908

10.998859

10.814989

9.798688

10.118837

10.460689

10.104664

10.026641

9.93585

10.765072

9.762339

2404.01393

Dimitrios Giataganas

Mir Afrasiar, Jaydeep Kumar Basak, Dimitrios Giataganas

Timelike Entanglement Entropy and Phase Transitions in non-Conformal Theories

1+32 pages, 5 figures

null

hep-th

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

We propose a holographic formalism for a timelike entanglement entropy in non-conformal theories. This pseudoentropy is a complex-valued measure of information, which, in holographic non-conformal theories, receives contributions from a set of spacelike surfaces and a finite timelike bulk surface with mirror symmetry. We suggest a method of merging the surfaces so that the boundary length of the subregion is exclusively specified by holography. We show that in confining theories, the surfaces can be merged in the bulk at the infrared tip of the geometry and are homologous to the boundary region. The timelike entanglement entropy receives its imaginary and real contributions from the timelike and the spacelike surfaces, respectively. Additionally, we demonstrate that in confining theories, there exists a critical length within which a connected non-trivial surface can exist, and the imaginary part of the timelike entanglement entropy is non-zero. Therefore, the timelike entanglement entropy exhibits unique behavior in confining theories, making it a probe of confinement and phase transitions. Finally, we discuss the entanglement entropy in Euclidean spacetime in confining theories and the effect of a simple analytical continuation from a spacelike subsystem to a timelike one.

[ { "created": "Mon, 1 Apr 2024 18:01:15 GMT", "version": "v1" } ]

2024-04-03

[ [ "Afrasiar", "Mir", "" ], [ "Basak", "Jaydeep Kumar", "" ], [ "Giataganas", "Dimitrios", "" ] ]

We propose a holographic formalism for a timelike entanglement entropy in non-conformal theories. This pseudoentropy is a complex-valued measure of information, which, in holographic non-conformal theories, receives contributions from a set of spacelike surfaces and a finite timelike bulk surface with mirror symmetry. We suggest a method of merging the surfaces so that the boundary length of the subregion is exclusively specified by holography. We show that in confining theories, the surfaces can be merged in the bulk at the infrared tip of the geometry and are homologous to the boundary region. The timelike entanglement entropy receives its imaginary and real contributions from the timelike and the spacelike surfaces, respectively. Additionally, we demonstrate that in confining theories, there exists a critical length within which a connected non-trivial surface can exist, and the imaginary part of the timelike entanglement entropy is non-zero. Therefore, the timelike entanglement entropy exhibits unique behavior in confining theories, making it a probe of confinement and phase transitions. Finally, we discuss the entanglement entropy in Euclidean spacetime in confining theories and the effect of a simple analytical continuation from a spacelike subsystem to a timelike one.

8.545867

8.394785

9.312287

8.009893

8.988312

8.598945

8.458353

8.389565

8.338338

10.113503

8.091625

8.374107

8.748351

8.280157

8.46237

8.634563

8.556782

8.447549

8.520857

8.761973

8.368938

0803.3241

Stanislav Kuperstein

Jarah Evslin, Stanislav Kuperstein

Trivializing a Family of Sasaki-Einstein Spaces

25 pages, 3 figures

JHEP 0806:045,2008

10.1088/1126-6708/2008/06/045

ULB-TH/08-09

hep-th

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

We construct an explicit diffeomorphism between the Sasaki-Einstein spaces Y^{p,q} and the product space S^3 \times S^2 in the cases q \le 2. When q=1 we express the K\"ahler quotient coordinates as an SU(2) bundle over S^2 which we trivialize. When q=2 the quotient coordinates yield a non-trivial SO(3) bundle over S^2 with characteristic class p, which is rotated to a bundle with characteristic class 1 and re-expressed as Y^{2,1}, reducing the problem to the case q=1. When q>2 the fiber is a lens space which is not a Lie group, and this construction fails. We relate the S^2 \times S^3 coordinates to those for which the Sasaki-Einstein metric is known. We check that the RR flux on the S^3 is normalized in accordance with Gauss' law and use this normalization to determine the homology classes represented by the calibrated cycles. As a by-product of our discussion we find a diffeomorphism between T^{p,q} and Y^{p,q} spaces, which means that T^{p,q} manifolds are also topologically S^3 \times S^2.

[ { "created": "Fri, 21 Mar 2008 23:53:15 GMT", "version": "v1" } ]

2009-01-16

[ [ "Evslin", "Jarah", "" ], [ "Kuperstein", "Stanislav", "" ] ]

We construct an explicit diffeomorphism between the Sasaki-Einstein spaces Y^{p,q} and the product space S^3 \times S^2 in the cases q \le 2. When q=1 we express the K\"ahler quotient coordinates as an SU(2) bundle over S^2 which we trivialize. When q=2 the quotient coordinates yield a non-trivial SO(3) bundle over S^2 with characteristic class p, which is rotated to a bundle with characteristic class 1 and re-expressed as Y^{2,1}, reducing the problem to the case q=1. When q>2 the fiber is a lens space which is not a Lie group, and this construction fails. We relate the S^2 \times S^3 coordinates to those for which the Sasaki-Einstein metric is known. We check that the RR flux on the S^3 is normalized in accordance with Gauss' law and use this normalization to determine the homology classes represented by the calibrated cycles. As a by-product of our discussion we find a diffeomorphism between T^{p,q} and Y^{p,q} spaces, which means that T^{p,q} manifolds are also topologically S^3 \times S^2.

7.021142

7.581473

7.287401

7.225793

7.904496

7.343246

7.673528

7.48379

7.222084

8.956578

7.625113

7.052333

7.073758

7.061913

6.956331

6.914955

7.053764

6.920789

6.923872

7.083581

7.162357

hep-th/9807184

Edisom Moreira

D. Iellici and E.S. Moreira Jr

Ambiguity in the evaluation of the effective action on the cone

REVTeX file, 10 pages. Comments on recent papers have been added

Phys. Rev. D 60, 124015 (1999)

10.1103/PhysRevD.60.124015

IFT-P.052/98

hep-th gr-qc

null

An ambiguity in the computation of the one-loop effective action for fields living on a cone is illustrated. It is shown that the ambiguity arises due to the non-commutativity of the regularization of ultraviolet and (conical) boundary divergencies.

[ { "created": "Fri, 24 Jul 1998 10:57:14 GMT", "version": "v1" }, { "created": "Thu, 23 Dec 1999 20:50:53 GMT", "version": "v2" } ]

2016-08-25

[ [ "Iellici", "D.", "" ], [ "Moreira", "E. S.", "Jr" ] ]

An ambiguity in the computation of the one-loop effective action for fields living on a cone is illustrated. It is shown that the ambiguity arises due to the non-commutativity of the regularization of ultraviolet and (conical) boundary divergencies.

12.357985

8.158217

9.924248

9.228346

10.04625

8.113634

8.251846

7.57231

8.312387

11.637107

8.552552

8.571191

9.778841

8.574371

9.064826

9.315955

9.659717

8.36973

8.587039

10.168633

8.804023

2012.11791

Cristhiam Lopez-Arcos

Naser Ahmadiniaz, Cristhiam Lopez-Arcos, Misha A. Lopez-Lopez, Christian Schubert

The QED four -- photon amplitudes off-shell: part 1

38 pages, 14 figures

Nucl.Phys.B 991 (2023) 116216

10.1016/j.nuclphysb.2023.116216

null

hep-th hep-ph

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

The QED four-photon amplitude has been well-studied by many authors, and on-shell is treated in many textbooks. However, a calculation with all four photons off-shell is presently still lacking, despite of the fact that this amplitude appears off-shell as a subprocess in many different contexts, in vacuum as well as with some photons connecting to external fields. The present paper is the first in a series of four where we use the worldline formalism to obtain this amplitude explicitly in terms of hypergeometric functions, and derivatives thereof, for both scalar and spinor QED. The formalism allows us to unify the scalar and spinor loop calculations, to avoid the usual breaking up of the amplitude into three inequivalent Feynman diagrams, and to achieve manifest transversality as well as UV finiteness at the integrand level by an optimized version of the integration-by-parts procedure originally introduced by Bern and Kosower for gluon amplitudes. The full permutation symmetry is maintained throughout, and the amplitudes get projected naturally into the basis of five tensors introduced by Costantini et al. in 1971. Since in many applications of the "four-photon box" some of the photons can be taken in the low-energy limit, and the formalism makes it easy to integrate out any such leg, apart from the case of general kinematics (part 4) we also treat the special cases of one (part 3) or two (part 2) photons taken at low energy. In this first part of the series, we summarize the application of the worldline formalism to the N-photon amplitudes and its relation to Feynman diagrams, derive the optimized tensor-decomposed integrands of the four-photon amplitudes in scalar and spinor QED, and outline the computational strategy to be followed in parts 2 to 4.

[ { "created": "Tue, 22 Dec 2020 02:14:14 GMT", "version": "v1" }, { "created": "Tue, 23 May 2023 14:05:34 GMT", "version": "v2" } ]

2023-05-24

[ [ "Ahmadiniaz", "Naser", "" ], [ "Lopez-Arcos", "Cristhiam", "" ], [ "Lopez-Lopez", "Misha A.", "" ], [ "Schubert", "Christian", "" ] ]

The QED four-photon amplitude has been well-studied by many authors, and on-shell is treated in many textbooks. However, a calculation with all four photons off-shell is presently still lacking, despite of the fact that this amplitude appears off-shell as a subprocess in many different contexts, in vacuum as well as with some photons connecting to external fields. The present paper is the first in a series of four where we use the worldline formalism to obtain this amplitude explicitly in terms of hypergeometric functions, and derivatives thereof, for both scalar and spinor QED. The formalism allows us to unify the scalar and spinor loop calculations, to avoid the usual breaking up of the amplitude into three inequivalent Feynman diagrams, and to achieve manifest transversality as well as UV finiteness at the integrand level by an optimized version of the integration-by-parts procedure originally introduced by Bern and Kosower for gluon amplitudes. The full permutation symmetry is maintained throughout, and the amplitudes get projected naturally into the basis of five tensors introduced by Costantini et al. in 1971. Since in many applications of the "four-photon box" some of the photons can be taken in the low-energy limit, and the formalism makes it easy to integrate out any such leg, apart from the case of general kinematics (part 4) we also treat the special cases of one (part 3) or two (part 2) photons taken at low energy. In this first part of the series, we summarize the application of the worldline formalism to the N-photon amplitudes and its relation to Feynman diagrams, derive the optimized tensor-decomposed integrands of the four-photon amplitudes in scalar and spinor QED, and outline the computational strategy to be followed in parts 2 to 4.

8.833577

10.084842

9.970956

8.943915

10.066076

10.117558

10.220736

9.341002

8.937954

10.108174

8.819616

8.802724

8.699693

8.591488

8.830412

8.790889

8.533013

8.615929

8.785275

8.820358

8.680812

hep-th/9806249

Klaus Bering

K. Bering (MIT)

Putting an Edge to the Poisson Bracket

36 pages, LaTeX. v2: A manifest formulation of the Poisson bracket and some examples are added, corrected a claim in Appendix C, added an Appendix F and a reference. v3: Some comments and references added

J.Math.Phys. 41 (2000) 7468-7500

10.1063/1.1286144

MIT-CTP-2746

hep-th

null

We consider a general formalism for treating a Hamiltonian (canonical) field theory with a spatial boundary. In this formalism essentially all functionals are differentiable from the very beginning and hence no improvement terms are needed. We introduce a new Poisson bracket which differs from the usual ``bulk'' Poisson bracket with a boundary term and show that the Jacobi identity is satisfied. The result is geometrized on an abstract world volume manifold. The method is suitable for studying systems with a spatial edge like the ones often considered in Chern-Simons theory and General Relativity. Finally, we discuss how the boundary terms may be related to the time ordering when quantizing.

[ { "created": "Tue, 30 Jun 1998 21:52:40 GMT", "version": "v1" }, { "created": "Mon, 28 Sep 1998 22:53:24 GMT", "version": "v2" }, { "created": "Fri, 3 Dec 1999 00:10:07 GMT", "version": "v3" } ]

2009-10-31

[ [ "Bering", "K.", "", "MIT" ] ]

We consider a general formalism for treating a Hamiltonian (canonical) field theory with a spatial boundary. In this formalism essentially all functionals are differentiable from the very beginning and hence no improvement terms are needed. We introduce a new Poisson bracket which differs from the usual ``bulk'' Poisson bracket with a boundary term and show that the Jacobi identity is satisfied. The result is geometrized on an abstract world volume manifold. The method is suitable for studying systems with a spatial edge like the ones often considered in Chern-Simons theory and General Relativity. Finally, we discuss how the boundary terms may be related to the time ordering when quantizing.

14.415809

14.309

14.668262

13.603366

16.561615

14.747839

15.851248

13.592774

14.402394

14.888261

14.252804

13.894484

14.010577

13.336357

13.831009

13.906123

13.67322

13.86977

14.023954

14.334626

13.730657

hep-th/0310185

Yukinori Nagatani

Yukinori Nagatani (Weizmann Inst.)

Radiation Ball as a Black Hole

12 pages, 3 figures

null

WIS/27/03-OCT-DPP

hep-th gr-qc

null

A structure of the radiation-ball which is identified as a Schwarzschild black hole is found out by investigating the backreaction of Hawking radiation into space-time. The structure consists of the radiation which is gravitationally bounded in the ball and of a singularity. The entropy of the radiation in the ball is proportional to the surface-area of the ball and nearly equals to the Bekenstein entropy. The Hawking radiation is regarded as a leak-out from the ball. There arises no information paradox because there exists no horizon in the structure.

[ { "created": "Mon, 20 Oct 2003 12:56:27 GMT", "version": "v1" }, { "created": "Sun, 7 Dec 2003 13:59:23 GMT", "version": "v2" } ]

2007-05-23

[ [ "Nagatani", "Yukinori", "", "Weizmann Inst." ] ]

A structure of the radiation-ball which is identified as a Schwarzschild black hole is found out by investigating the backreaction of Hawking radiation into space-time. The structure consists of the radiation which is gravitationally bounded in the ball and of a singularity. The entropy of the radiation in the ball is proportional to the surface-area of the ball and nearly equals to the Bekenstein entropy. The Hawking radiation is regarded as a leak-out from the ball. There arises no information paradox because there exists no horizon in the structure.

10.762868

7.641335

9.068588

8.780552

8.507331

8.039319

7.725998

8.03686

8.850435

10.051373

8.459941

8.798225

9.602598

9.125099

9.434368

9.224863

8.847647

9.181046

9.691512

9.25015

9.404067

1101.3560

Francesco Bigazzi

Francesco Bigazzi, Aldo L. Cotrone, Javier Mas, Daniel Mayerson, Javier Tarrio

D3-D7 Quark-Gluon Plasmas at Finite Baryon Density

27 pages; v2: 29 pages, 1 (new) figure, new section 4.4 on optical properties, references, comments added; v3: eq. (3.19), comments and a reference added

JHEP 1104:060,2011

10.1007/JHEP04(2011)060

ITP-UU-10/39; DFTT 27/2010

hep-th hep-ph

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

We present the string dual to SU(Nc) N=4 SYM, coupled to Nf massless fundamental flavors, at finite temperature and baryon density. The solution is determined by two dimensionless parameters, both depending on the 't Hooft coupling $\lambda_h$ at the scale set by the temperature T: $\epsilon_h\sim\lambda_h Nf/Nc$, weighting the backreaction of the flavor fields and $\tilde\delta\sim\lambda_h^{-1/2}nb/(Nf T^3)$, where $nb$ is the baryon density. For small values of these two parameters the solution is given analytically up to second order. We study the thermodynamics of the system in the canonical and grand-canonical ensembles. We then analyze the energy loss of partons moving through the plasma, computing the jet quenching parameter and studying its dependence on the baryon density. Finally, we analyze certain "optical" properties of the plasma. The whole setup is generalized to non abelian strongly coupled plasmas engineered on D3-D7 systems with D3-branes placed at the tip of a generic singular Calabi-Yau cone. In all the cases, fundamental matter fields are introduced by means of homogeneously smeared D7-branes and the flavor symmetry group is thus a product of abelian factors.

[ { "created": "Tue, 18 Jan 2011 21:12:09 GMT", "version": "v1" }, { "created": "Fri, 28 Jan 2011 10:27:39 GMT", "version": "v2" }, { "created": "Tue, 15 Feb 2011 10:50:49 GMT", "version": "v3" } ]

2011-04-20

[ [ "Bigazzi", "Francesco", "" ], [ "Cotrone", "Aldo L.", "" ], [ "Mas", "Javier", "" ], [ "Mayerson", "Daniel", "" ], [ "Tarrio", "Javier", "" ] ]

We present the string dual to SU(Nc) N=4 SYM, coupled to Nf massless fundamental flavors, at finite temperature and baryon density. The solution is determined by two dimensionless parameters, both depending on the 't Hooft coupling $\lambda_h$ at the scale set by the temperature T: $\epsilon_h\sim\lambda_h Nf/Nc$, weighting the backreaction of the flavor fields and $\tilde\delta\sim\lambda_h^{-1/2}nb/(Nf T^3)$, where $nb$ is the baryon density. For small values of these two parameters the solution is given analytically up to second order. We study the thermodynamics of the system in the canonical and grand-canonical ensembles. We then analyze the energy loss of partons moving through the plasma, computing the jet quenching parameter and studying its dependence on the baryon density. Finally, we analyze certain "optical" properties of the plasma. The whole setup is generalized to non abelian strongly coupled plasmas engineered on D3-D7 systems with D3-branes placed at the tip of a generic singular Calabi-Yau cone. In all the cases, fundamental matter fields are introduced by means of homogeneously smeared D7-branes and the flavor symmetry group is thus a product of abelian factors.

7.031065

6.587314

7.532587

6.480548

7.082696

6.486527

6.652907

6.720204

6.612307

8.5536

6.540861

6.796115

6.826953

6.673356

6.789379

6.668828

6.800554

6.676633

6.705814

7.345488

6.775691

1805.08225

Adriano Lana Cherchiglia

Y. R. Batista, Brigitte Hiller, Adriano Cherchiglia, Marcos Sampaio

Supercurrent anomaly and gauge invariance in N=1 supersymmetric Yang-Mills theory

References added; complies with published version

Phys. Rev. D 98, 025018 (2018)

10.1103/PhysRevD.98.025018

null

hep-th hep-ph

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

We analyse Feynman diagram calculational issues related to the quantum breaking of supercurrent conservation in a supersymmetric non-abelian Yang-Mills theory. For the sake of simplicity, we take a zero mass gauge field multiplet interacting with a massless Majorana spin-$1/2$ field in the adjoint representation of $SU(2)$. We shed light on a long-standing controversy regarding the perturbative evaluation of the supercurrent anomaly in connection with gauge and superconformal symmetry in different frameworks. We find that only superconformal symmetry is unambiguously broken using an invariant four dimensional regularization and compare with the triangle AVV anomaly. Subtleties related to momentum routing invariance in the loops of diagrams and Clifford algebra evaluation inside divergent integrals are also discussed in connection with finite and undetermined quantities in Feynman amplitudes.

[ { "created": "Mon, 21 May 2018 18:00:07 GMT", "version": "v1" }, { "created": "Tue, 31 Jul 2018 20:08:51 GMT", "version": "v2" } ]

2018-08-08

[ [ "Batista", "Y. R.", "" ], [ "Hiller", "Brigitte", "" ], [ "Cherchiglia", "Adriano", "" ], [ "Sampaio", "Marcos", "" ] ]

We analyse Feynman diagram calculational issues related to the quantum breaking of supercurrent conservation in a supersymmetric non-abelian Yang-Mills theory. For the sake of simplicity, we take a zero mass gauge field multiplet interacting with a massless Majorana spin-$1/2$ field in the adjoint representation of $SU(2)$. We shed light on a long-standing controversy regarding the perturbative evaluation of the supercurrent anomaly in connection with gauge and superconformal symmetry in different frameworks. We find that only superconformal symmetry is unambiguously broken using an invariant four dimensional regularization and compare with the triangle AVV anomaly. Subtleties related to momentum routing invariance in the loops of diagrams and Clifford algebra evaluation inside divergent integrals are also discussed in connection with finite and undetermined quantities in Feynman amplitudes.

13.919355

15.061653

13.783004

12.512971

13.898977

14.112019

14.367474

13.510598

13.2803

14.877951

12.848125

13.244709

13.414783

13.008919

13.469872

13.517579

12.984843

13.522242

12.983679

14.007781

12.947282

1311.3307

Sera Cremonini

Sera Cremonini, Xi Dong

Constraints on RG Flows from Holographic Entanglement Entropy

5 pages, no figures

Phys. Rev. D 89, 065041 (2014)

10.1103/PhysRevD.89.065041

SU-ITP-13/23

hep-th cond-mat.str-el

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

We examine the RG flow of a candidate c-function, extracted from the holographic entanglement entropy of a strip-shaped region, for theories with broken Lorentz invariance. We clarify the conditions on the geometry that lead to a break-down of monotonic RG flows as is expected for generic Lorentz-violating field theories. Nevertheless we identify a set of simple criteria on the UV behavior of the geometry which guarantee a monotonic c-function. Our analysis can thus be used as a guiding principle for the construction of monotonic RG trajectories, and can also prove useful for excluding possible IR behaviors of the theory.

[ { "created": "Wed, 13 Nov 2013 21:00:28 GMT", "version": "v1" } ]

2014-04-02

[ [ "Cremonini", "Sera", "" ], [ "Dong", "Xi", "" ] ]

We examine the RG flow of a candidate c-function, extracted from the holographic entanglement entropy of a strip-shaped region, for theories with broken Lorentz invariance. We clarify the conditions on the geometry that lead to a break-down of monotonic RG flows as is expected for generic Lorentz-violating field theories. Nevertheless we identify a set of simple criteria on the UV behavior of the geometry which guarantee a monotonic c-function. Our analysis can thus be used as a guiding principle for the construction of monotonic RG trajectories, and can also prove useful for excluding possible IR behaviors of the theory.

12.083941

9.646192

12.13822

10.274263

10.065826

11.174616

10.060385

9.211883

10.048747

12.218328

9.908152

10.279382

10.849632

10.437169

10.55995

10.400393

10.781919

10.665237

10.499537

10.761367

10.488483

1310.0902

Shuichi Yokoyama

A Note on Large N Thermal Free Energy in Supersymmetric Chern-Simons Vector Models

27 pages, v2: minor improvements, a reference added, v3: published version

JHEP01(2014)148

10.1007/JHEP01(2014)148

TIFR/TH/13-26

hep-th

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

We compute the exact effective action for \cN=3 U(N)_k and \cN=4,6 U(N)_k\times U(N')_{-k} Chern-Simons theories with minimal matter content in the 't Hooft vector model limit under which N and k go to infinity holding N/k, N' fixed. We also extend this calculation to \cN=4,6 mass deformed case. We show those large N effective actions except mass-deformed \cN=6 case precisely reduce to that of \cN=2 U(N)_k Chern-Simons theory with one fundamental chiral field up to overall multiple factor. By using this result we argue the thermal free energy and self-duality of the \cN=3,4,6 Chern-Simons theories including the \cN=4 mass term reduce to those of the \cN=2 case under the limit.

[ { "created": "Thu, 3 Oct 2013 05:54:39 GMT", "version": "v1" }, { "created": "Thu, 10 Oct 2013 02:44:00 GMT", "version": "v2" }, { "created": "Mon, 3 Feb 2014 04:58:14 GMT", "version": "v3" } ]

2014-02-04

[ [ "Yokoyama", "Shuichi", "" ] ]

We compute the exact effective action for \cN=3 U(N)_k and \cN=4,6 U(N)_k\times U(N')_{-k} Chern-Simons theories with minimal matter content in the 't Hooft vector model limit under which N and k go to infinity holding N/k, N' fixed. We also extend this calculation to \cN=4,6 mass deformed case. We show those large N effective actions except mass-deformed \cN=6 case precisely reduce to that of \cN=2 U(N)_k Chern-Simons theory with one fundamental chiral field up to overall multiple factor. By using this result we argue the thermal free energy and self-duality of the \cN=3,4,6 Chern-Simons theories including the \cN=4 mass term reduce to those of the \cN=2 case under the limit.

8.095461

8.35427

8.615199

8.230924

8.734412

7.807339

8.007988

7.462988

7.872479

9.735987

7.888724

7.776107

8.372127

7.650673

7.90709

7.766175

7.687905

7.863562

7.763752

8.538315

7.820683

1205.0196

Zhituo Wang

Constructive Renormalization of 2-dimensional Grosse-Wulkenhaar Model

13 pages. Based on the talk at the Corfu Summer Institute 2011 School and Workshops on Elementary Particle Physics and Gravity. To appear in the proceedings

null

hep-th math-ph math.MP

http://creativecommons.org/licenses/by-nc-sa/3.0/

In this talk we briefly report the recent work on the construction of the 2-dimensional Grosse-Wulkenhaar model with the method of loop vertex expansion. We treat renormalization with this new tool, adapt Nelson's argument and prove Borel summability of the perturbation series. This is the first non-commutative quantum field theory model to be built in a non-perturbative sense.

[ { "created": "Tue, 1 May 2012 15:53:11 GMT", "version": "v1" } ]

2012-05-02

[ [ "Wang", "Zhituo", "" ] ]

In this talk we briefly report the recent work on the construction of the 2-dimensional Grosse-Wulkenhaar model with the method of loop vertex expansion. We treat renormalization with this new tool, adapt Nelson's argument and prove Borel summability of the perturbation series. This is the first non-commutative quantum field theory model to be built in a non-perturbative sense.

10.709979

10.540044

13.50709

10.13427

11.492482

10.457757

10.279881

10.344295

10.129076

12.252806

10.238303

9.945709

9.879913

9.691947

9.767671

10.202551

10.195507

10.269256

9.745216

9.997747

10.10935

2209.00677

David Stefanyszyn

Giovanni Cabass, David Stefanyszyn, Jakub Supe{\l} and Ayngaran Thavanesan

On Graviton non-Gaussianities in the Effective Field Theory of Inflation

null

10.1007/JHEP10(2022)154

null

hep-th gr-qc

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

We derive parity-even graviton bispectra in the Effective Field Theory of Inflation (EFToI) to all orders in derivatives. Working in perturbation theory, we construct all cubic interactions that can contribute to tree-level graviton bispectra, showing that they all come from EFToI operators containing two or three powers of the extrinsic curvature and its covariant derivatives: all other operators can be removed by field redefinitions or start at higher-order in perturbations. For operators cubic in the extrinsic curvature, where the single-clock consistency relations are satisfied without a correction to the graviton two-point function, we use the Manifestly Local Test (MLT) to efficiently extract the effects of evolving graviton fluctuations to the end of inflation. Despite the somewhat complicated nature of the bulk interactions, the final boundary correlators take a very compact form. For operators quadratic in the extrinsic curvature, the leading order bispectra are a sum of contact and single exchange diagrams, which are tied together by spatial diffeomorphisms, and to all orders in derivatives we derive these bispectra by computing the necessary bulk time integrals. For single exchange diagrams we exploit factorisation properties of the bulk-bulk propagator for massless gravitons and write the result as a finite sum over residues. Perhaps surprisingly, we show these single exchange contributions have only total-energy poles and also satisfy the MLT.

[ { "created": "Thu, 1 Sep 2022 18:25:48 GMT", "version": "v1" } ]

2022-11-09

[ [ "Cabass", "Giovanni", "" ], [ "Stefanyszyn", "David", "" ], [ "Supeł", "Jakub", "" ], [ "Thavanesan", "Ayngaran", "" ] ]

We derive parity-even graviton bispectra in the Effective Field Theory of Inflation (EFToI) to all orders in derivatives. Working in perturbation theory, we construct all cubic interactions that can contribute to tree-level graviton bispectra, showing that they all come from EFToI operators containing two or three powers of the extrinsic curvature and its covariant derivatives: all other operators can be removed by field redefinitions or start at higher-order in perturbations. For operators cubic in the extrinsic curvature, where the single-clock consistency relations are satisfied without a correction to the graviton two-point function, we use the Manifestly Local Test (MLT) to efficiently extract the effects of evolving graviton fluctuations to the end of inflation. Despite the somewhat complicated nature of the bulk interactions, the final boundary correlators take a very compact form. For operators quadratic in the extrinsic curvature, the leading order bispectra are a sum of contact and single exchange diagrams, which are tied together by spatial diffeomorphisms, and to all orders in derivatives we derive these bispectra by computing the necessary bulk time integrals. For single exchange diagrams we exploit factorisation properties of the bulk-bulk propagator for massless gravitons and write the result as a finite sum over residues. Perhaps surprisingly, we show these single exchange contributions have only total-energy poles and also satisfy the MLT.

11.569352

11.42186

13.6744

10.989751

11.408084

10.584897

10.942492

11.139325

11.186923

14.274285

10.950132

11.528694

11.576277

11.289079

11.436794

11.377791

11.635181

11.438432

11.119069

12.07027

10.822787

2303.06364

Kouji Kashiwa

Kazuo Ghoroku, Kouji Kashiwa, Yoshimasa Nakano, Motoi Tachibana, Fumihiko Toyoda

Instability of holographic cold compact stars with a color superconducting core

22 pages, 10 figures, version accepted for publication in PRD. Title changed following the referee's suggestion

Phys. Rev. D 107, 126007 (2023)

10.1103/PhysRevD.107.126007

null

hep-th

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

We study a holographic model of quantum chromodynamics, which can describe a color superconductor and a dilute nucleon gas phase. The two phases are adjoined in the phase diagram at a critical value of the chemical potential. In other words, a first-order transition from the ordinary nucleon gas to the color superconductor is found by increasing the chemical potential. This model is suitable to investigate the possibility of a cold compact star with a color superconducting core. The equation of state of the star is given by the holographic model considered in this article, and we find that it is impossible in the present model to find a hybrid star of nuclear matter and the color superconductor core through the relation of mass and radius of the star by solving the Tolman-Oppenheimer-Volkoff equations. Several other interesting implications are given by using the equation of state.

[ { "created": "Sat, 11 Mar 2023 10:20:05 GMT", "version": "v1" }, { "created": "Mon, 19 Jun 2023 05:55:15 GMT", "version": "v2" } ]

2023-06-21

[ [ "Ghoroku", "Kazuo", "" ], [ "Kashiwa", "Kouji", "" ], [ "Nakano", "Yoshimasa", "" ], [ "Tachibana", "Motoi", "" ], [ "Toyoda", "Fumihiko", "" ] ]

We study a holographic model of quantum chromodynamics, which can describe a color superconductor and a dilute nucleon gas phase. The two phases are adjoined in the phase diagram at a critical value of the chemical potential. In other words, a first-order transition from the ordinary nucleon gas to the color superconductor is found by increasing the chemical potential. This model is suitable to investigate the possibility of a cold compact star with a color superconducting core. The equation of state of the star is given by the holographic model considered in this article, and we find that it is impossible in the present model to find a hybrid star of nuclear matter and the color superconductor core through the relation of mass and radius of the star by solving the Tolman-Oppenheimer-Volkoff equations. Several other interesting implications are given by using the equation of state.

7.540091

7.106598

7.37921

6.974525

7.598026

6.977329

7.760572

7.427145

6.993324

7.257838

7.215758

7.077269

7.201336

7.127482

7.126353

7.101083

7.213211

7.299155

7.106831

7.397073

7.167384

hep-th/9609096

Vivian F. Incera

E. J. Ferrer and V. de la Incera (SUNY at Fredonia)

Superconductivity in Anyon Fluid at Finite Temperature and Density

Work presented at DPF96.(revtex)

null

SUNY-FRE-96-04

hep-th

null

The boundary effects in the screening of an applied magnetic field in a charged anyon fluid at finite temperature and density are investigated. By analytically solving the extremum equations of the sytem and minimizing the free energy density, we find that in a sample with only one boundary (the half plane), a total Meissner effect takes place; while the sample with two boundaries (the infinite strip) exhibits a partial Meissner effect. The short-ranges modes of propagation of the magnetic field inside the fluid are characterized by two temp erature dependent penetration lengths.

[ { "created": "Wed, 11 Sep 1996 17:02:16 GMT", "version": "v1" } ]

2007-05-23

[ [ "Ferrer", "E. J.", "", "SUNY at Fredonia" ], [ "de la Incera", "V.", "", "SUNY at Fredonia" ] ]

The boundary effects in the screening of an applied magnetic field in a charged anyon fluid at finite temperature and density are investigated. By analytically solving the extremum equations of the sytem and minimizing the free energy density, we find that in a sample with only one boundary (the half plane), a total Meissner effect takes place; while the sample with two boundaries (the infinite strip) exhibits a partial Meissner effect. The short-ranges modes of propagation of the magnetic field inside the fluid are characterized by two temp erature dependent penetration lengths.

13.490956

10.900699

15.163733

12.397902

13.202863

12.262547

12.621781

11.0718

12.607141

16.752768

12.845016

13.04915

13.533793

13.287646

13.36954

12.957829

13.250862

13.446198

13.05383

14.214524

13.314486

hep-th/9603039

null

V. Karimipour

Relation of The New Calogero Models and xxz Spin Chains

15 pages , Latex , No Figures

null

IPM preprint 96

hep-th nlin.SI solv-int

null

We extend our previous analysis of the classical integrable models of Calogero in several respects. Firstly we provide the algebraic resaons of their quantum integrability.Secondly we show why these systems allow their initial value problem to be solved in closed form . Furthermore we show that due to their similarity with the above models the classical and quantum Heisenberg magnets with long rang interactions in a magnetic field are also intergrable. Explicit expressions are given for the integrals of motion in involution in the classical case and for the commuting operators in the quantum case.

[ { "created": "Thu, 7 Mar 1996 10:29:22 GMT", "version": "v1" } ]

2008-02-03

[ [ "Karimipour", "V.", "" ] ]

We extend our previous analysis of the classical integrable models of Calogero in several respects. Firstly we provide the algebraic resaons of their quantum integrability.Secondly we show why these systems allow their initial value problem to be solved in closed form . Furthermore we show that due to their similarity with the above models the classical and quantum Heisenberg magnets with long rang interactions in a magnetic field are also intergrable. Explicit expressions are given for the integrals of motion in involution in the classical case and for the commuting operators in the quantum case.

13.007753

13.441894

17.280689

12.289515

12.049613

14.407178

15.763213

12.780027

12.934294

15.858429

12.662077

12.372859

12.889133

12.345815

12.547282

12.531213

12.591971

12.579236

12.57079

13.061954

12.54108

1603.01825

Peter M. Lavrov

Igor A. Batalin and Peter M. Lavrov

Superfield Hamiltonian quantization in terms of quantum antibrackets

16 pages, v2: Appendix extended, references added, published version, v3: Section 3 extended, v4: minor corrections

Int. J. Mod. Phys. A 31 (2016) 1650054

10.1142/S0217751X16500548

null

hep-th

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

We develop a new version of the superfield Hamiltonian quantization. The main new feature is that the BRST-BFV charge and the gauge fixing Fermion are introduced on equal footing within the sigma model approach, which provides for the actual use of the quantum/derived antibrackets. We study in detail the generating equations for the quantum antibrackets and their primed counterparts. We discuss the finite quantum anticanonical transformations generated by the quantum antibracket.

[ { "created": "Sun, 6 Mar 2016 13:17:43 GMT", "version": "v1" }, { "created": "Wed, 9 Mar 2016 14:01:59 GMT", "version": "v2" }, { "created": "Mon, 4 Apr 2016 01:57:26 GMT", "version": "v3" }, { "created": "Mon, 21 Aug 2017 11:55:44 GMT", "version": "v4" }, { "created": "Tue, 22 Aug 2017 10:56:24 GMT", "version": "v5" } ]

2017-08-23

[ [ "Batalin", "Igor A.", "" ], [ "Lavrov", "Peter M.", "" ] ]

We develop a new version of the superfield Hamiltonian quantization. The main new feature is that the BRST-BFV charge and the gauge fixing Fermion are introduced on equal footing within the sigma model approach, which provides for the actual use of the quantum/derived antibrackets. We study in detail the generating equations for the quantum antibrackets and their primed counterparts. We discuss the finite quantum anticanonical transformations generated by the quantum antibracket.

15.142115

12.214305

15.298896

13.359945

13.056422

13.352462

12.151362

12.985855

13.083561

17.164438

12.642086

13.589415

14.89903

13.343879

13.338758

13.153719

12.856558

13.086241

13.033147

14.535976

12.707144

hep-th/0207168

Scott Watson

Scott Watson and Robert H. Brandenberger

Isotropization in Brane Gas Cosmology

11 pages, 4 eps figures, references added

Phys.Rev. D67 (2003) 043510

10.1103/PhysRevD.67.043510

null

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

null

Brane Gas Cosmology (BGC) is an approach to unifying string theory and cosmology in which matter is described by a gas of strings and branes in a dilaton gravity background. The Universe is assumed to start out with all spatial dimensions compact and small. It has previously been shown that in this context, in the approximation of neglecting inhomogeneities and anisotropies, there is a dynamical mechanism which allows only three spatial dimensions to become large. However, previous studies do not lead to any conclusions concerning the isotropy or anisotropy of these three large spatial dimensions. Here, we generalize the equations of BGC to the anisotropic case, and find that isotropization is a natural consequence of the dynamics.

[ { "created": "Thu, 18 Jul 2002 15:13:04 GMT", "version": "v1" }, { "created": "Thu, 25 Jul 2002 01:12:34 GMT", "version": "v2" }, { "created": "Mon, 9 Dec 2002 16:27:53 GMT", "version": "v3" } ]

2009-11-07

[ [ "Watson", "Scott", "" ], [ "Brandenberger", "Robert H.", "" ] ]

Brane Gas Cosmology (BGC) is an approach to unifying string theory and cosmology in which matter is described by a gas of strings and branes in a dilaton gravity background. The Universe is assumed to start out with all spatial dimensions compact and small. It has previously been shown that in this context, in the approximation of neglecting inhomogeneities and anisotropies, there is a dynamical mechanism which allows only three spatial dimensions to become large. However, previous studies do not lead to any conclusions concerning the isotropy or anisotropy of these three large spatial dimensions. Here, we generalize the equations of BGC to the anisotropic case, and find that isotropization is a natural consequence of the dynamics.

6.521652

5.688433

5.896407

5.31076

5.400224

5.421304

5.33133

5.484881

5.475237

5.93275

5.306324

5.378886

5.644759

5.458164

5.396419

5.397923

5.444509

5.504461

5.258939

5.527416

5.671124

1212.6896

Shao-Jun Zhang

Shao-Jun Zhang and Bin Wang

Surface term, Virasoro algebra, and Wald entropy of black holes in higher-curvature gravity

v1: 12 pages, no figures, REVTeX 4.0; v2: no changes, this manuscript is accepted for publication in PRD; v3: English polished, match published version

Phys. Rev. D 87, 044041 (2013)

10.1103/PhysRevD.87.044041

null

hep-th gr-qc

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

Recently, in the Einstein gravity, Majhi and Padmanabhan proposed a straightforward and transparent way in obtaining the Bekenstein-Hawking entropy by using the approach based on the Virasoro algebra and central charge. In this work, we generalize their approach to the modified gravity with higher curvature corrections and show that their approach can successfully lead to the corresponding Wald entropy in the higher curvature gravity. Our result shows that the approach is physically general.

[ { "created": "Mon, 31 Dec 2012 14:16:58 GMT", "version": "v1" }, { "created": "Thu, 7 Feb 2013 02:43:28 GMT", "version": "v2" }, { "created": "Wed, 20 Feb 2013 02:00:38 GMT", "version": "v3" } ]

2013-02-21

[ [ "Zhang", "Shao-Jun", "" ], [ "Wang", "Bin", "" ] ]

Recently, in the Einstein gravity, Majhi and Padmanabhan proposed a straightforward and transparent way in obtaining the Bekenstein-Hawking entropy by using the approach based on the Virasoro algebra and central charge. In this work, we generalize their approach to the modified gravity with higher curvature corrections and show that their approach can successfully lead to the corresponding Wald entropy in the higher curvature gravity. Our result shows that the approach is physically general.

9.299676

8.627456

7.666473

7.765803

8.169885

8.229692

8.928808

7.786751

8.681999

8.003589

8.714735

8.41973

8.497923

8.524922

8.41963

8.514797

8.57177

8.248445

8.707035

8.726222

8.935242

1305.3784

Harvendra Singh

Lifshitz to AdS flow with interpolating p-brane solutions

18 pages; v2: minor changes, including a bad typo in the eqs of Sec-(4.3), references added

null

10.1007/JHEP08(2013)097

null

hep-th

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

In continuation with our studies of Lifshitz like D$p$-brane solutions, we propose a class of 1/4 BPS supersymmetric interpolating solutions which interpolate between IR Lifshitz solutions and UV AdS solutions smoothly. We demonstrate properties of these classical solutions near the two fixed points. These interpolating solutions are then used to calculate the entanglement entropies of strip-like subsystems. With these bulk solutions the entropy functional also gets modified. We also make a curious observation about the electric-magnetic duality and the thermal entropy of the Hodge-dual Lifshitz D$p$ brane systems.

[ { "created": "Thu, 16 May 2013 12:43:00 GMT", "version": "v1" }, { "created": "Fri, 26 Jul 2013 06:21:01 GMT", "version": "v2" } ]

2015-06-16

[ [ "Singh", "Harvendra", "" ] ]

In continuation with our studies of Lifshitz like D$p$-brane solutions, we propose a class of 1/4 BPS supersymmetric interpolating solutions which interpolate between IR Lifshitz solutions and UV AdS solutions smoothly. We demonstrate properties of these classical solutions near the two fixed points. These interpolating solutions are then used to calculate the entanglement entropies of strip-like subsystems. With these bulk solutions the entropy functional also gets modified. We also make a curious observation about the electric-magnetic duality and the thermal entropy of the Hodge-dual Lifshitz D$p$ brane systems.

12.844853

12.382002

14.634397

12.287724

12.969453

12.07172

12.439936

12.113137

11.410732

14.850239

12.193581

11.619272

13.34359

11.671782

12.258221

11.860153

12.091871

11.593693

11.717436

13.017939

11.543802

hep-th/0210268

Bodo Geyer

B. Geyer and D. M\"ulsch

N_T=8, D=2 Hodge-type cohomological gauge theory with global SU(4) symmetry

8 pages, LATEX2e, Contribution to 3. Int. A. Sakharov Conference, Moscaow, June 23 - 29, 2002

null

hep-th

null

We show that the partially topological twisted N=16, D=2 super Yang-Mill theory gives rise to a N_T=8 Hodge-type cohomological gauge theory with global SU(4) symmetry.

[ { "created": "Mon, 28 Oct 2002 18:00:03 GMT", "version": "v1" } ]

2007-05-23

[ [ "Geyer", "B.", "" ], [ "Mülsch", "D.", "" ] ]

We show that the partially topological twisted N=16, D=2 super Yang-Mill theory gives rise to a N_T=8 Hodge-type cohomological gauge theory with global SU(4) symmetry.

18.851677

14.812537

21.470829

14.503712

14.9723

13.619881

13.585332

14.211149

13.24866

26.956829

14.012618

16.508017

17.556372

15.49851

15.318392

16.413635

16.108887

15.445702

14.65259

17.593079

14.834961

0708.3792

My. Brahim Sedra

M. B. Sedra

Gelfand-Dickey Algebra and Higher Spin Symmetries On $T^2=S^1\times S^1$

22 pages

Int.J.Mod.Phys.A23:5059-5080,2008

10.1142/S0217751X08041505

null

hep-th

null

We focus in this work to renew the interest in higher conformal spins symmetries and their relations to quantum field theories and integrable models. We consider the extension of the conformal Frappat et al. symmetries containing the Virasoro and the Antoniadis et al. algebras as particular cases describing geometrically special diffeomorphisms of the two dimensional torus $T^2$. We show in a consistent way, and explicitly, how one can extract these generalized symmetries from the Gelfand-Dickey algebra. The link with Liouville and Toda conformal field theories is established and various important properties are discussed.

[ { "created": "Tue, 28 Aug 2007 14:06:38 GMT", "version": "v1" } ]

2009-02-11

[ [ "Sedra", "M. B.", "" ] ]

We focus in this work to renew the interest in higher conformal spins symmetries and their relations to quantum field theories and integrable models. We consider the extension of the conformal Frappat et al. symmetries containing the Virasoro and the Antoniadis et al. algebras as particular cases describing geometrically special diffeomorphisms of the two dimensional torus $T^2$. We show in a consistent way, and explicitly, how one can extract these generalized symmetries from the Gelfand-Dickey algebra. The link with Liouville and Toda conformal field theories is established and various important properties are discussed.

12.264667

11.880233

12.946928

11.434595

11.54294

12.798224

11.216333

11.482802

11.057958

12.972196

11.235079

11.199323

11.80282

11.267784

11.354629

11.016767

11.421362

11.374786

11.45207

11.953963

10.832331

hep-th/9911116

Ashoke Sen

Universality of the Tachyon Potential

LaTeX file, epsf, 1 figure, 21 pages, references added

JHEP 9912:027,1999

10.1088/1126-6708/1999/12/027

MRI-PHY/P991133

hep-th

null

Using string field theory, we argue that the tachyon potential on a D-brane anti-D-brane system in type II string theory in arbitrary background has a universal form, independent of the boundary conformal field theory describing the brane. This implies that if at the minimum of the tachyon potential the total energy of the brane antibrane system vanishes in a particular background, then it vanishes in any other background. Similar result holds for the tachyon potential of the non-BPS D-branes of type II string theory, and the D-branes of bosonic string theory.

[ { "created": "Tue, 16 Nov 1999 04:14:02 GMT", "version": "v1" }, { "created": "Thu, 2 Dec 1999 10:03:06 GMT", "version": "v2" } ]

2009-10-31

[ [ "Sen", "Ashoke", "" ] ]

Using string field theory, we argue that the tachyon potential on a D-brane anti-D-brane system in type II string theory in arbitrary background has a universal form, independent of the boundary conformal field theory describing the brane. This implies that if at the minimum of the tachyon potential the total energy of the brane antibrane system vanishes in a particular background, then it vanishes in any other background. Similar result holds for the tachyon potential of the non-BPS D-branes of type II string theory, and the D-branes of bosonic string theory.

4.729435

4.567857

5.609363

4.380235

4.605004

4.491603

4.490447

4.372342

4.732316

5.544235

4.488365

4.545599

4.768772

4.394436

4.338292

4.431512

4.482519

4.519708

4.676192

4.742953

4.582963

1705.03000

Jerome P. Gauntlett

Aristomenis Donos, Jerome P. Gauntlett, Christopher Rosen and Omar Sosa-Rodriguez

Boomerang RG flows in M-theory with intermediate scaling

26 pages, 12 figures. Minor typos corrected

null

10.1007/JHEP07(2017)128

Imperial/TP/2017/JG/03; DCPT-17/09

hep-th

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

We construct novel RG flows of D=11 supergravity that asymptotically approach $AdS_4\times S^7$ in the UV with deformations that break spatial translations in the dual field theory. In the IR the solutions return to exactly the same $AdS_4\times S^7$ vacuum, with a renormalisation of relative length scales, and hence we refer to the flows as `boomerang RG flows'. For sufficiently large deformations, on the way to the IR the solutions also approach two distinct intermediate scaling regimes, each with hyperscaling violation. The first regime is Lorentz invariant with dynamical exponent $z=1$ while the second has $z=5/2$. Neither of the two intermediate scaling regimes are associated with exact hyperscaling violation solutions of $D=11$ supergravity. The RG flow solutions are constructed using the four dimensional $N=2$ STU gauged supergravity theory with vanishing gauge fields, but non-vanishing scalar and pseudoscalar fields. In the ABJM dual field theory the flows are driven by spatially modulated deformation parameters for scalar and fermion bilinear operators.

[ { "created": "Mon, 8 May 2017 17:59:53 GMT", "version": "v1" }, { "created": "Tue, 30 May 2017 10:20:18 GMT", "version": "v2" }, { "created": "Thu, 27 Jul 2017 18:15:59 GMT", "version": "v3" } ]

2017-09-13

[ [ "Donos", "Aristomenis", "" ], [ "Gauntlett", "Jerome P.", "" ], [ "Rosen", "Christopher", "" ], [ "Sosa-Rodriguez", "Omar", "" ] ]

We construct novel RG flows of D=11 supergravity that asymptotically approach $AdS_4\times S^7$ in the UV with deformations that break spatial translations in the dual field theory. In the IR the solutions return to exactly the same $AdS_4\times S^7$ vacuum, with a renormalisation of relative length scales, and hence we refer to the flows as `boomerang RG flows'. For sufficiently large deformations, on the way to the IR the solutions also approach two distinct intermediate scaling regimes, each with hyperscaling violation. The first regime is Lorentz invariant with dynamical exponent $z=1$ while the second has $z=5/2$. Neither of the two intermediate scaling regimes are associated with exact hyperscaling violation solutions of $D=11$ supergravity. The RG flow solutions are constructed using the four dimensional $N=2$ STU gauged supergravity theory with vanishing gauge fields, but non-vanishing scalar and pseudoscalar fields. In the ABJM dual field theory the flows are driven by spatially modulated deformation parameters for scalar and fermion bilinear operators.

7.13496

6.826442

8.094116

6.885028

7.067266

6.855163

6.643295

6.717252

6.735466

8.822191

6.653774

6.854286

7.418031

7.011192

7.07073

7.159815

6.840531

6.975928

7.027035

7.557649

7.023622

1601.01172

Umpei Miyamoto

Tomohiro Harada, Shunichiro Kinoshita, Umpei Miyamoto

Vacuum excitation by sudden appearance and disappearance of a Dirichlet wall in a cavity

27 pp, 4 figs; v2: title modified, sec 4 added, to appear in PRD

Phys. Rev. D 94, 025006 (2016)

10.1103/PhysRevD.94.025006

RUP-15-29

hep-th gr-qc quant-ph

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

Vacuum excitation by time-varying boundary conditions is not only of fundamental importance but also has recently been confirmed in a laboratory experiment. In this paper, we study the vacuum excitation of a scalar field by the instantaneous appearance and disappearance of a both-sided Dirichlet wall in the middle of a 1D cavity, as toy models of bifurcating and merging spacetimes, respectively. It is shown that the energy flux emitted positively diverges on the null lines emanating from the appearance and disappearance events, which is analogous to the result of Anderson and DeWitt. This result suggests that the semiclassical effect prevents the spacetime both from bifurcating and merging. In addition, we argue that the diverging flux in the disappearance case plays an interesting role to compensate for the lowness of ambient energy density after the disappearance, which is lower than the zero-point level.

[ { "created": "Wed, 6 Jan 2016 13:31:19 GMT", "version": "v1" }, { "created": "Sun, 26 Jun 2016 22:59:19 GMT", "version": "v2" } ]

2016-07-13

[ [ "Harada", "Tomohiro", "" ], [ "Kinoshita", "Shunichiro", "" ], [ "Miyamoto", "Umpei", "" ] ]

Vacuum excitation by time-varying boundary conditions is not only of fundamental importance but also has recently been confirmed in a laboratory experiment. In this paper, we study the vacuum excitation of a scalar field by the instantaneous appearance and disappearance of a both-sided Dirichlet wall in the middle of a 1D cavity, as toy models of bifurcating and merging spacetimes, respectively. It is shown that the energy flux emitted positively diverges on the null lines emanating from the appearance and disappearance events, which is analogous to the result of Anderson and DeWitt. This result suggests that the semiclassical effect prevents the spacetime both from bifurcating and merging. In addition, we argue that the diverging flux in the disappearance case plays an interesting role to compensate for the lowness of ambient energy density after the disappearance, which is lower than the zero-point level.

11.674133

14.071808

11.318333

11.158011

12.510847

12.102272

12.428472

11.642768

12.140463

13.774752

11.025688

10.821084

10.987119

10.656166

10.861724

10.848298

10.717873

10.458253

11.437796

11.013303

10.635434

2202.10503

Miguel Zilhao

Yago Bea, Jorge Casalderrey-Solana, Thanasis Giannakopoulos, Aron Jansen, David Mateos, Mikel Sanchez-Garitaonandia and Miguel Zilh\~ao

Holographic Bubbles with Jecco: Expanding, Collapsing and Critical

63 pages, 23 figures. minor typo fixed

JHEP09(2022)008

10.1007/JHEP09(2022)008

null

hep-th gr-qc hep-ph

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

Cosmological phase transitions can proceed via the nucleation of bubbles that subsequently expand and collide. The resulting gravitational wave spectrum depends crucially on the properties of these bubbles. We extend our previous holographic work on planar bubbles to circular bubbles in a strongly-coupled, non-Abelian, four-dimensional gauge theory. This extension brings about two new physical properties. First, the existence of a critical bubble, which we determine. Second, the bubble profile at late times exhibits a richer self-similar structure, which we verify. These results require a new 3+1 evolution code called Jecco that solves the Einstein equations in the characteristic formulation in asymptotically AdS spaces. Jecco is written in the Julia programming language and is freely available. We present an outline of the code and the tests performed to assess its robustness and performance.

[ { "created": "Mon, 21 Feb 2022 19:32:36 GMT", "version": "v1" }, { "created": "Sun, 25 Sep 2022 15:50:12 GMT", "version": "v2" }, { "created": "Mon, 6 Mar 2023 16:02:17 GMT", "version": "v3" } ]

2023-03-07

[ [ "Bea", "Yago", "" ], [ "Casalderrey-Solana", "Jorge", "" ], [ "Giannakopoulos", "Thanasis", "" ], [ "Jansen", "Aron", "" ], [ "Mateos", "David", "" ], [ "Sanchez-Garitaonandia", "Mikel", "" ], [ "Zilhão", "Miguel", "" ] ]

Cosmological phase transitions can proceed via the nucleation of bubbles that subsequently expand and collide. The resulting gravitational wave spectrum depends crucially on the properties of these bubbles. We extend our previous holographic work on planar bubbles to circular bubbles in a strongly-coupled, non-Abelian, four-dimensional gauge theory. This extension brings about two new physical properties. First, the existence of a critical bubble, which we determine. Second, the bubble profile at late times exhibits a richer self-similar structure, which we verify. These results require a new 3+1 evolution code called Jecco that solves the Einstein equations in the characteristic formulation in asymptotically AdS spaces. Jecco is written in the Julia programming language and is freely available. We present an outline of the code and the tests performed to assess its robustness and performance.

9.997471

9.053161

10.019279

9.043904

9.269679

9.598091

9.45445

9.716015

9.463376

10.980644

9.629858

9.736572

9.454594

9.139609

9.42234

9.706347

9.968421

9.662228

9.408028

9.634627

9.600434

2206.11782

David Katona

David Katona, James Lucietti

Supersymmetric black holes with a single axial symmetry in five dimensions

v2: 53 pages, 1 table; accepted version. Minor clarifications in assumptions, typos corrected, references added, table of numerical results added, results unchanged. v3: Corrected remarks after Corollary 2, minor changes in Theorem 2 and proof of Theorem 3, results unchanged

Commun.Math.Phys. 399 (2023) 1151-1201

10.1007/s00220-022-04576-7

EMPG-22-11

hep-th gr-qc

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

We present a classification of asymptotically flat, supersymmetric black hole and soliton solutions of five-dimensional minimal supergravity that admit a single axial symmetry which `commutes' with the supersymmetry. This includes the first examples of five-dimensional black hole solutions with exactly one axial Killing field that are smooth on and outside the horizon. The solutions have similar properties to the previously studied class with biaxial symmetry, in particular, they have a Gibbons-Hawking base and the harmonic functions must be of multi-centred type with the centres corresponding to the connected components of the horizon or fixed points of the axial symmetry. We find a large moduli space of black hole and soliton spacetimes with non-contractible 2-cycles and the horizon topologies are $S^3$, $S^1\times S^2$ and lens spaces $L(p,1)$.

[ { "created": "Thu, 23 Jun 2022 15:38:51 GMT", "version": "v1" }, { "created": "Mon, 12 Dec 2022 15:00:58 GMT", "version": "v2" }, { "created": "Mon, 8 Jul 2024 15:04:44 GMT", "version": "v3" } ]

2024-07-09

[ [ "Katona", "David", "" ], [ "Lucietti", "James", "" ] ]

We present a classification of asymptotically flat, supersymmetric black hole and soliton solutions of five-dimensional minimal supergravity that admit a single axial symmetry which `commutes' with the supersymmetry. This includes the first examples of five-dimensional black hole solutions with exactly one axial Killing field that are smooth on and outside the horizon. The solutions have similar properties to the previously studied class with biaxial symmetry, in particular, they have a Gibbons-Hawking base and the harmonic functions must be of multi-centred type with the centres corresponding to the connected components of the horizon or fixed points of the axial symmetry. We find a large moduli space of black hole and soliton spacetimes with non-contractible 2-cycles and the horizon topologies are $S^3$, $S^1\times S^2$ and lens spaces $L(p,1)$.

7.103176

6.672335

7.493837

6.294677

6.821224

7.030764

6.904303

6.400373

6.818399

7.53689

6.957296

6.679945

7.024373

6.549198

6.564074

6.602326

6.593732

6.426331

6.551769

6.961254

6.723793

0801.2703

Antonio Paulo Baeta Scarpelli

E. W. Dias, A. P. Baeta Scarpelli, L. C. T. Brito, Marcos Sampaio, M. C. Nemes

Implicit regularization beyond one loop order: gauge field theories

18 pages, 5 figures, accepted for publication in European Physical Journal

Eur.Phys.J.C55:667-681,2008

10.1140/epjc/s10052-008-0614-6

null

hep-th

null

We extend a constrained version of Implicit Regularization (CIR) beyond one loop order for gauge field theories. In this framework, the ultraviolet content of the model is displayed in terms of momentum loop integrals order by order in perturbation theory for any Feynman diagram, while the Ward-Slavnov-Taylor identities are controlled by finite surface terms. To illustrate, we apply CIR to massless abelian Gauge Field Theories (scalar and spinorial QED) to two loop order and calculate the two-loop beta-function of the spinorial QED.

[ { "created": "Thu, 17 Jan 2008 15:26:19 GMT", "version": "v1" }, { "created": "Thu, 17 Apr 2008 17:54:41 GMT", "version": "v2" } ]

2008-11-26

[ [ "Dias", "E. W.", "" ], [ "Scarpelli", "A. P. Baeta", "" ], [ "Brito", "L. C. T.", "" ], [ "Sampaio", "Marcos", "" ], [ "Nemes", "M. C.", "" ] ]

We extend a constrained version of Implicit Regularization (CIR) beyond one loop order for gauge field theories. In this framework, the ultraviolet content of the model is displayed in terms of momentum loop integrals order by order in perturbation theory for any Feynman diagram, while the Ward-Slavnov-Taylor identities are controlled by finite surface terms. To illustrate, we apply CIR to massless abelian Gauge Field Theories (scalar and spinorial QED) to two loop order and calculate the two-loop beta-function of the spinorial QED.

13.709542

10.950317

11.259855

10.255625

10.231974

11.264317

11.560125

10.084453

9.930389

12.170107

10.044639

10.886681

11.281274

10.474043

10.543897

11.269283

11.050829

10.898417

10.29091

11.646607

11.979184

2208.02514

Jian-Pin Wu

Guoyang Fu, Huajie Gong, Peng Liu, Xiao-Mei Kuang, Jian-Pin Wu

Charge transport properties in a novel holographic quantum phase transition model

19 pages, 8 figures

Eur. Phys. J. C (2023) 83:516

10.1140/epjc/s10052-023-11668-8

null

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

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

We investigate the features of charge transport in a novel holographic quantum phase transition (QPT) model with two metallic phases: normal metallic and novel metallic. The scaling behaviors of direct current (DC) resistivity and thermal conductivity at low temperatures in both metallic phases are numerically computed. The numerical results and the analytical ones governed by the near horizon geometry agree perfectly. Then, the features of low-frequency alternating current (AC) electric conductivity are systematically investigated. A remarkable characteristic is that the normal metallic phase is a coherent system, whereas the novel metallic phase is an incoherent system with non-vanishing intrinsic conductivity. Especially, in the novel metallic phase, the incoherent behavior becomes stronger when the strength of the momentum dissipation enhances.

[ { "created": "Thu, 4 Aug 2022 07:50:19 GMT", "version": "v1" }, { "created": "Sun, 6 Nov 2022 08:11:41 GMT", "version": "v2" }, { "created": "Tue, 20 Jun 2023 04:20:54 GMT", "version": "v3" } ]

2023-06-21

[ [ "Fu", "Guoyang", "" ], [ "Gong", "Huajie", "" ], [ "Liu", "Peng", "" ], [ "Kuang", "Xiao-Mei", "" ], [ "Wu", "Jian-Pin", "" ] ]

We investigate the features of charge transport in a novel holographic quantum phase transition (QPT) model with two metallic phases: normal metallic and novel metallic. The scaling behaviors of direct current (DC) resistivity and thermal conductivity at low temperatures in both metallic phases are numerically computed. The numerical results and the analytical ones governed by the near horizon geometry agree perfectly. Then, the features of low-frequency alternating current (AC) electric conductivity are systematically investigated. A remarkable characteristic is that the normal metallic phase is a coherent system, whereas the novel metallic phase is an incoherent system with non-vanishing intrinsic conductivity. Especially, in the novel metallic phase, the incoherent behavior becomes stronger when the strength of the momentum dissipation enhances.

9.593811

9.074637

9.849996

8.455085

8.098107

9.321833

8.851782

8.822723

8.632936

10.15133

8.797323

8.688973

9.272073

8.723313

8.684351

9.180854

8.976793

8.923568

8.653336

9.195327

8.77002

hep-th/0305065

Angelo Galante

V. Azcoiti, A. Galante, V. Laliena

Theta-vacuum: Phase Transitions and/or Symmetry Breaking at $\theta = \pi$

9 pages, 2 figures, 2 references added, final version to appear in Progr. Theor. Phys

Prog.Theor.Phys. 109 (2003) 843-851

10.1143/PTP.109.843

null

hep-th hep-lat

null

Assuming that a quantum field theory with a $\theta$-vacuum term in the action shows non-trivial $\theta$-dependence and provided that some reasonable properties of the probability distribution function of the order parameter hold, we argue that the theory either breaks spontaneously CP at $\theta = \pi$ or shows a singular behavior at some critical $\theta_c$ between 0 and $\pi$. This result, which applies to any model with a pure imaginary contribution to the euclidean action consisting in a quantized charge coupled to a phase, as QCD, is illustrated with two simple examples; one of them intimately related to Witten's result on SU(N) in the large $N$ limit.

[ { "created": "Thu, 8 May 2003 15:57:15 GMT", "version": "v1" }, { "created": "Wed, 21 May 2003 20:59:07 GMT", "version": "v2" } ]

2009-11-10

[ [ "Azcoiti", "V.", "" ], [ "Galante", "A.", "" ], [ "Laliena", "V.", "" ] ]

Assuming that a quantum field theory with a $\theta$-vacuum term in the action shows non-trivial $\theta$-dependence and provided that some reasonable properties of the probability distribution function of the order parameter hold, we argue that the theory either breaks spontaneously CP at $\theta = \pi$ or shows a singular behavior at some critical $\theta_c$ between 0 and $\pi$. This result, which applies to any model with a pure imaginary contribution to the euclidean action consisting in a quantized charge coupled to a phase, as QCD, is illustrated with two simple examples; one of them intimately related to Witten's result on SU(N) in the large $N$ limit.

11.468155

12.015096

11.470788

10.379807

11.118093

11.112688

11.764797

10.246606

10.518976

12.286456

11.245337

10.873024

10.487959

10.367068

10.823913

11.248346

10.976323

10.914208

10.749242

11.492126

10.763979

1504.01586

Axel Kleinschmidt

Axel Kleinschmidt, Hermann Nicolai

Standard model fermions and K(E10)

4 pages. v2: PLB version

null

hep-th hep-ph

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

In recent work arXiv:1412.1715 it was shown how to modify Gell-Mann's proposal for identifying the 48 quarks and leptons of the Standard Model with the 48 spin-1/2 fermions of maximal SO(8) gauged supergravity that remain after the removal of eight Goldstinos, by deforming the residual U(1) symmetry at the SU(3)xU(1) stationary point of N=8 supergravity to also achieve agreement of the electric charge assignments. In this Letter we show that the required deformation, while not in SU(8), does belong to K(E10), the `maximal compact' subgroup of E10 which is a possible candidate symmetry underlying M theory. The incorporation of infinite-dimensional Kac-Moody symmetries of hyperbolic type, apparently unavoidable for the present scheme to work, opens up completely new perspectives on embedding Standard Model physics into a Planck scale theory of quantum gravity.

[ { "created": "Tue, 7 Apr 2015 12:49:50 GMT", "version": "v1" }, { "created": "Wed, 1 Jul 2015 13:30:39 GMT", "version": "v2" } ]

2015-07-02

[ [ "Kleinschmidt", "Axel", "" ], [ "Nicolai", "Hermann", "" ] ]

In recent work arXiv:1412.1715 it was shown how to modify Gell-Mann's proposal for identifying the 48 quarks and leptons of the Standard Model with the 48 spin-1/2 fermions of maximal SO(8) gauged supergravity that remain after the removal of eight Goldstinos, by deforming the residual U(1) symmetry at the SU(3)xU(1) stationary point of N=8 supergravity to also achieve agreement of the electric charge assignments. In this Letter we show that the required deformation, while not in SU(8), does belong to K(E10), the `maximal compact' subgroup of E10 which is a possible candidate symmetry underlying M theory. The incorporation of infinite-dimensional Kac-Moody symmetries of hyperbolic type, apparently unavoidable for the present scheme to work, opens up completely new perspectives on embedding Standard Model physics into a Planck scale theory of quantum gravity.

9.725553

9.74937

11.114741

8.676284

8.972665

9.38773

9.875192

8.976239

9.436935

13.014842

9.668466

9.309955

9.980157

9.608843

9.347769

9.235649

9.008688

9.142787

9.364637

9.823904

9.029112

1505.05078

Samir Mathur

Per Kraus and Samir D. Mathur

Nature abhors a horizon

7 pages, 3 figures, Essay awarded third prize in the Gravity Research Foundation 2015 essay competition (some typographical errors corrected)

null

10.1142/S0218271815430038

null

hep-th gr-qc

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

The information paradox can be resolved if we recognize that the wavefunctional in gravity $\Psi[g]$ should be considered on the {\it whole} of superspace, the space of possible $g$. The largeness of the Bekenstein entropy implies a vast space of gravitational solutions, which are conjectured to be fuzzball configurations. In the WKB approximation, the wavefunctional for a collapsing shell is oscillatory in a small region of superspace, and the classical approximation picks out this part. But the wavefunctional will be damped (`under the barrier') in the remainder of this vast superspace. We perform a simple computation to show that at the threshold of black hole formation, the barrier is lowered enough to make the latter part oscillatory; this alters the classical evolution and avoids horizon formation.

[ { "created": "Tue, 19 May 2015 16:46:26 GMT", "version": "v1" }, { "created": "Fri, 15 Jan 2016 18:27:57 GMT", "version": "v2" } ]

2016-01-18

[ [ "Kraus", "Per", "" ], [ "Mathur", "Samir D.", "" ] ]

The information paradox can be resolved if we recognize that the wavefunctional in gravity $\Psi[g]$ should be considered on the {\it whole} of superspace, the space of possible $g$. The largeness of the Bekenstein entropy implies a vast space of gravitational solutions, which are conjectured to be fuzzball configurations. In the WKB approximation, the wavefunctional for a collapsing shell is oscillatory in a small region of superspace, and the classical approximation picks out this part. But the wavefunctional will be damped (`under the barrier') in the remainder of this vast superspace. We perform a simple computation to show that at the threshold of black hole formation, the barrier is lowered enough to make the latter part oscillatory; this alters the classical evolution and avoids horizon formation.

16.508417

16.710938

16.932116

15.128432

16.014412

16.501751

16.707464

16.386909

16.372007

17.293308

15.60648

15.089013

16.242737

15.806214

15.114332

15.658813

15.535769

15.512396

15.11984

15.968587

14.565395

1404.6646

Jurgen Fuchs

J\"urgen Fuchs, Jan Priel, Christoph Schweigert, Alessandro Valentino

On the Brauer groups of symmetries of abelian Dijkgraaf-Witten theories

21 pages, 9 figures. v2: Minor changes, typos corrected and references added. v3: Typos corrected

null

10.1007/s00220-015-2420-y

ZMP-HH/14-09, Hamburger Beitr\"age zur Mathematik 509

hep-th math.QA

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

Symmetries of three-dimensional topological field theories are naturally defined in terms of invertible topological surface defects. Symmetry groups are thus Brauer-Picard groups. We present a gauge theoretic realization of all symmetries of abelian Dijkgraaf-Witten theories. The symmetry group for a Dijkgraaf-Witten theory with gauge group a finite abelian group $A$, and with vanishing 3-cocycle, is generated by group automorphisms of $A$, by automorphisms of the trivial Chern-Simons 2-gerbe on the stack of $A$-bundles, and by partial e-m dualities. We show that transmission functors naturally extracted from extended topological field theories with surface defects give a physical realization of the bijection between invertible bimodule categories of a fusion category and braided auto-equivalences of its Drinfeld center. The latter provides the labels for bulk Wilson lines; it follows that a symmetry is completely characterized by its action on bulk Wilson lines.

[ { "created": "Sat, 26 Apr 2014 14:25:39 GMT", "version": "v1" }, { "created": "Fri, 1 May 2015 10:44:55 GMT", "version": "v2" }, { "created": "Mon, 6 Jul 2015 09:29:10 GMT", "version": "v3" } ]

2015-07-07

[ [ "Fuchs", "Jürgen", "" ], [ "Priel", "Jan", "" ], [ "Schweigert", "Christoph", "" ], [ "Valentino", "Alessandro", "" ] ]

Symmetries of three-dimensional topological field theories are naturally defined in terms of invertible topological surface defects. Symmetry groups are thus Brauer-Picard groups. We present a gauge theoretic realization of all symmetries of abelian Dijkgraaf-Witten theories. The symmetry group for a Dijkgraaf-Witten theory with gauge group a finite abelian group $A$, and with vanishing 3-cocycle, is generated by group automorphisms of $A$, by automorphisms of the trivial Chern-Simons 2-gerbe on the stack of $A$-bundles, and by partial e-m dualities. We show that transmission functors naturally extracted from extended topological field theories with surface defects give a physical realization of the bijection between invertible bimodule categories of a fusion category and braided auto-equivalences of its Drinfeld center. The latter provides the labels for bulk Wilson lines; it follows that a symmetry is completely characterized by its action on bulk Wilson lines.

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