LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/0604027

Mohammad Khorrami

M. Alimohammadi, M. Khorrami

Phase transitions of Large-N two-dimensional Yang-Mills and generalized Yang-Mills theories in the double scaling limit

11 pages, to appear in Eur. Phys. J. C

Eur.Phys.J.C47:507-512,2006

10.1140/epjc/s2006-02556-0

null

hep-th

null

The large-N behavior of Yang-Mills and generalized Yang-Mills theories in the double-scaling limit is investigated. By the double-scaling limit, it is meant that the area of the manifold on which the theory is defined, is itself a function of N. It is shown that phase transitions of different orders occur, depending on the functional dependence of the area on N. The finite-size scalings of the system are also investigated. Specifically, the dependence of the dominant representation on A, for large but finite N is determined.

[ { "created": "Wed, 5 Apr 2006 07:58:03 GMT", "version": "v1" } ]

2009-01-07

[ [ "Alimohammadi", "M.", "" ], [ "Khorrami", "M.", "" ] ]

The large-N behavior of Yang-Mills and generalized Yang-Mills theories in the double-scaling limit is investigated. By the double-scaling limit, it is meant that the area of the manifold on which the theory is defined, is itself a function of N. It is shown that phase transitions of different orders occur, depending on the functional dependence of the area on N. The finite-size scalings of the system are also investigated. Specifically, the dependence of the dominant representation on A, for large but finite N is determined.

8.735089

7.385417

9.197023

8.100696

7.580739

7.652448

8.349675

8.130076

7.624401

9.752743

8.245459

7.809428

8.466452

8.04108

8.083293

7.374586

7.824718

8.307533

7.883043

8.883768

8.419068

1307.1487

Federico Galli

V. Balasubramanian, A. Bernamonti, J. de Boer, B. Craps, L. Franti, F. Galli, E. Keski-Vakkuri, B. M\"uller, A. Sch\"afer

Inhomogeneous Thermalization in Strongly Coupled Field Theories

5 pages, 3 figures; v2: minor clarifications and reference added

Phys. Rev. Lett. 111, 231602 (2013)

10.1103/PhysRevLett.111.231602

null

hep-th hep-ph nucl-th

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

To describe theoretically the creation and evolution of the quark-gluon plasma, one typically employs three ingredients: a model for the initial state, non-hydrodynamic early time evolution, and hydrodynamics. In this paper we study the non-hydrodynamic early time evolution using the AdS/CFT correspondence in the presence of inhomogeneities. We find that the AdS description of the early time evolution is well-matched by free streaming. Near the end of the early time interval where our analytic computations are reliable, the stress tensor agrees with the second order hydrodynamic stress tensor computed from the local energy density and fluid velocity. Our techniques may also be useful for the study of far-from-equilibrium strongly coupled systems in other areas of physics.

[ { "created": "Thu, 4 Jul 2013 20:56:19 GMT", "version": "v1" }, { "created": "Thu, 12 Dec 2013 14:35:34 GMT", "version": "v2" } ]

2013-12-16

[ [ "Balasubramanian", "V.", "" ], [ "Bernamonti", "A.", "" ], [ "de Boer", "J.", "" ], [ "Craps", "B.", "" ], [ "Franti", "L.", "" ], [ "Galli", "F.", "" ], [ "Keski-Vakkuri", "E.", "" ], [ "Müller", "B.", "" ], [ "Schäfer", "A.", "" ] ]

To describe theoretically the creation and evolution of the quark-gluon plasma, one typically employs three ingredients: a model for the initial state, non-hydrodynamic early time evolution, and hydrodynamics. In this paper we study the non-hydrodynamic early time evolution using the AdS/CFT correspondence in the presence of inhomogeneities. We find that the AdS description of the early time evolution is well-matched by free streaming. Near the end of the early time interval where our analytic computations are reliable, the stress tensor agrees with the second order hydrodynamic stress tensor computed from the local energy density and fluid velocity. Our techniques may also be useful for the study of far-from-equilibrium strongly coupled systems in other areas of physics.

7.654532

7.154139

7.830104

7.323035

7.642139

7.560498

7.180598

7.193964

6.720979

8.102468

7.38941

7.103186

7.132432

7.214458

6.876238

7.031031

6.921903

7.208553

6.844997

7.010285

7.172364

2310.13437

Kiril Hristov

Black hole thermodynamics in natural variables: Quadrophenia

34 pages, 1 Mathematica file included; v2: minor corrections, refs added

null

hep-th gr-qc

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

It was recently observed in arXiv:2304.07320 for thermal Kerr-Newman black holes in 4d flat space that one can rewrite the conventional thermodynamics on the inner and outer horizons in terms of left- and right-moving variables with a remarkable simplification of the corresponding expressions. With the goal of illustrating the wide applicability of these newly proposed natural variables, we extend the original observation in four independent directions that can be further superimposed on each other. These four generalizations can be thought of as different deformations of the original 4d Einstein-Maxwell theory, all within the framework of supergravity: higher derivative (HD) corrections in minimal 4d supergravity; additional scalar and vector couplings in matter-coupled 4d supergravity; higher dimensions, in particular 5d minimal supergravity; and a cosmological constant in 4d minimal gauged supergravity with Anti-de Sitter (AdS) vacuum. Each of these generalizations offers a different lesson about the novel thermodynamics, and we pay special attention to the respective BPS limits that can be understood from fixed point formulae, demonstrating the power of the natural variables to capture the full phase space.

[ { "created": "Fri, 20 Oct 2023 11:53:20 GMT", "version": "v1" }, { "created": "Mon, 19 Feb 2024 15:22:14 GMT", "version": "v2" } ]

2024-02-20

[ [ "Hristov", "Kiril", "" ] ]

It was recently observed in arXiv:2304.07320 for thermal Kerr-Newman black holes in 4d flat space that one can rewrite the conventional thermodynamics on the inner and outer horizons in terms of left- and right-moving variables with a remarkable simplification of the corresponding expressions. With the goal of illustrating the wide applicability of these newly proposed natural variables, we extend the original observation in four independent directions that can be further superimposed on each other. These four generalizations can be thought of as different deformations of the original 4d Einstein-Maxwell theory, all within the framework of supergravity: higher derivative (HD) corrections in minimal 4d supergravity; additional scalar and vector couplings in matter-coupled 4d supergravity; higher dimensions, in particular 5d minimal supergravity; and a cosmological constant in 4d minimal gauged supergravity with Anti-de Sitter (AdS) vacuum. Each of these generalizations offers a different lesson about the novel thermodynamics, and we pay special attention to the respective BPS limits that can be understood from fixed point formulae, demonstrating the power of the natural variables to capture the full phase space.

10.385006

9.597733

10.238989

9.729777

10.581688

10.118505

10.528275

9.985683

9.546814

11.424904

9.645333

9.793722

10.157702

9.537311

10.067335

9.736553

9.671218

9.656991

9.674407

10.54309

9.325371

hep-th/9712199

Shahin S. Jabbari

M. M. Sheikh-Jabbari

More on Mixed Boundary Conditions and D-branes Bound States

Latex file, pages, No Figures

Phys.Lett.B425:48-54,1998

10.1016/S0370-2693(98)00199-3

IPM-97-260

hep-th

null

In this article, applying different types of boundary conditions; Dirichlet, Neumann, or Mixed, on open strings we realize various new brane bound states in string theory. Calculating their interactions with other D-branes, we find their charge densities and their tension. A novel feature of $(p-2,p)$ brane bound state is its "non-commutative" nature which is manifestly seen both in the open strings mode expansions and in their scattering off a $D_p$-brane. Moreover we study three or more object bound states in string theory language. Finally we give a M-theoretic picture of these bound states.

[ { "created": "Sun, 21 Dec 1997 12:38:45 GMT", "version": "v1" } ]

2009-10-07

[ [ "Sheikh-Jabbari", "M. M.", "" ] ]

In this article, applying different types of boundary conditions; Dirichlet, Neumann, or Mixed, on open strings we realize various new brane bound states in string theory. Calculating their interactions with other D-branes, we find their charge densities and their tension. A novel feature of $(p-2,p)$ brane bound state is its "non-commutative" nature which is manifestly seen both in the open strings mode expansions and in their scattering off a $D_p$-brane. Moreover we study three or more object bound states in string theory language. Finally we give a M-theoretic picture of these bound states.

15.461198

15.46397

16.826597

13.812256

15.032738

14.67458

14.387165

14.207171

13.522847

16.983475

13.745091

14.229185

14.854896

13.705673

13.978476

13.862312

13.711853

13.980188

13.455496

14.851634

13.638298

hep-th/0103225

Gordon Chalmers

Cosmological constant in broken maximal sugras

8 pages

Class.Quant.Grav.19:L193-L198,2002

10.1088/0264-9381/19/23/101

ANL-HEP-PR-01-020

hep-th astro-ph hep-ph

null

We examine the form of the cosmological constant in the loop expansion of broken maximally supersymmetric supergravity theories, and after embedding, within superstring and M-theory. Supersymmetry breaking at the TeV scale generates values of the cosmological constant that are in agreement with current astrophysical data. The form of perturbative quantum effects in the loop expansion is consistent with this parameter regime.

[ { "created": "Tue, 27 Mar 2001 15:09:13 GMT", "version": "v1" }, { "created": "Wed, 28 Mar 2001 04:14:37 GMT", "version": "v2" }, { "created": "Wed, 30 May 2001 17:59:01 GMT", "version": "v3" }, { "created": "Fri, 19 Jul 2002 23:18:39 GMT", "version": "v4" } ]

2010-04-06

[ [ "Chalmers", "Gordon", "" ] ]

We examine the form of the cosmological constant in the loop expansion of broken maximally supersymmetric supergravity theories, and after embedding, within superstring and M-theory. Supersymmetry breaking at the TeV scale generates values of the cosmological constant that are in agreement with current astrophysical data. The form of perturbative quantum effects in the loop expansion is consistent with this parameter regime.

12.675992

11.48092

11.687774

12.321115

13.16174

13.306334

12.525875

12.862405

12.082837

13.051564

11.236502

11.483791

12.05638

11.394223

11.500818

11.666176

10.864905

11.380452

11.13695

12.111336

10.891458

1504.02304

Timothy Adamo

Tim Adamo, Eduardo Casali

Perturbative gauge theory at null infinity

18 pages, no figures

Phys. Rev. D 91, 125022 (2015)

10.1103/PhysRevD.91.125022

DAMTP-2015-19

hep-th

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

We describe a theory living on the null conformal boundary of four-dimensional Minkowski space, whose states include the radiative modes of Yang-Mills theory. The action of a Kac-Moody symmetry algebra on the correlators of these states leads to a Ward identity for asymptotic 'large' gauge transformations which is equivalent to the soft gluon theorem. The subleading soft gluon behavior is also obtained from a Ward identity for charges acting as vector fields on the sphere of null generators of the boundary. Correlation functions of the Yang-Mills states are shown to produce the full classical S-matrix of Yang-Mills theory. The model contains additional states arising from non-unitary gravitational degrees of freedom, indicating a relationship with the twistor-string of Berkovits & Witten.

[ { "created": "Thu, 9 Apr 2015 13:32:00 GMT", "version": "v1" } ]

2015-06-24

[ [ "Adamo", "Tim", "" ], [ "Casali", "Eduardo", "" ] ]

We describe a theory living on the null conformal boundary of four-dimensional Minkowski space, whose states include the radiative modes of Yang-Mills theory. The action of a Kac-Moody symmetry algebra on the correlators of these states leads to a Ward identity for asymptotic 'large' gauge transformations which is equivalent to the soft gluon theorem. The subleading soft gluon behavior is also obtained from a Ward identity for charges acting as vector fields on the sphere of null generators of the boundary. Correlation functions of the Yang-Mills states are shown to produce the full classical S-matrix of Yang-Mills theory. The model contains additional states arising from non-unitary gravitational degrees of freedom, indicating a relationship with the twistor-string of Berkovits & Witten.

10.232146

8.074271

11.865033

8.819057

9.642123

9.486654

10.229398

9.487442

8.803152

12.578606

9.471295

9.432432

10.30234

9.577848

9.543206

9.82494

9.64365

9.697822

9.786596

10.553288

9.133612

2311.16056

Chethan Krishnan

Abir Ghosh, Chethan Krishnan

A Holographic Entanglement Entropy at Spi

v2: 60 pages, added Section 7. JHEP version

null

hep-th gr-qc quant-ph

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

Defining finite entanglement entropy for a subregion in quantum field theory requires the introduction of two logically independent scales: an IR scale that controls the size of the subregion, and a UV cut-off. In AdS/CFT, the IR scale is the AdS lengthscale, the UV cut-off is the bulk radial cut-off, and the subregion is specified by dimensionless angles. This is the data that determines Ryu-Takayanagi surfaces and their areas in AdS/CFT. We argue that in asymptotically flat space there exists the notion of a ``spi-subregion" that one can associate to spatial infinity (spi). Even though geometrically quite different from an AdS subregion, this angle data has the crucial feature that it allows an interpretation as a bi-partitioning of spi. Therefore, the area of the RT surface associated to the spi-subregion can be interpreted as the entanglement entropy of the reduced density matrix of the bulk state under this bi-partition, as in AdS/CFT. For symmetric spi-subregions, these RT surfaces are the waists of Asymptotic Causal Diamonds. In empty flat space they reduce to Rindler horizons, and are analogues of the AdS-Rindler horizons of Casini, Huerta \& Myers. We connect these results to previous work on minimal surfaces anchored to screens in empty space, but also generalize the discussion to the case where there are black holes in the bulk. The phases of black hole RT surfaces as the spi-subregion is varied, naturally connect with those of black holes (small and large) in AdS. A key observation is that the radial cut-off is associated to an IR scale in flat space -- and in fact there are no UV divergences. We argue that this is consistent with previous suggestions that in sub-AdS scales the holographic duality is an IR/IR correspondence and that the degrees of freedom are {\em not} those of a local QFT, but those of long strings. Strings are of course, famously UV finite.

[ { "created": "Mon, 27 Nov 2023 18:21:26 GMT", "version": "v1" }, { "created": "Wed, 29 May 2024 04:56:47 GMT", "version": "v2" } ]

2024-05-30

[ [ "Ghosh", "Abir", "" ], [ "Krishnan", "Chethan", "" ] ]

Defining finite entanglement entropy for a subregion in quantum field theory requires the introduction of two logically independent scales: an IR scale that controls the size of the subregion, and a UV cut-off. In AdS/CFT, the IR scale is the AdS lengthscale, the UV cut-off is the bulk radial cut-off, and the subregion is specified by dimensionless angles. This is the data that determines Ryu-Takayanagi surfaces and their areas in AdS/CFT. We argue that in asymptotically flat space there exists the notion of a ``spi-subregion" that one can associate to spatial infinity (spi). Even though geometrically quite different from an AdS subregion, this angle data has the crucial feature that it allows an interpretation as a bi-partitioning of spi. Therefore, the area of the RT surface associated to the spi-subregion can be interpreted as the entanglement entropy of the reduced density matrix of the bulk state under this bi-partition, as in AdS/CFT. For symmetric spi-subregions, these RT surfaces are the waists of Asymptotic Causal Diamonds. In empty flat space they reduce to Rindler horizons, and are analogues of the AdS-Rindler horizons of Casini, Huerta \& Myers. We connect these results to previous work on minimal surfaces anchored to screens in empty space, but also generalize the discussion to the case where there are black holes in the bulk. The phases of black hole RT surfaces as the spi-subregion is varied, naturally connect with those of black holes (small and large) in AdS. A key observation is that the radial cut-off is associated to an IR scale in flat space -- and in fact there are no UV divergences. We argue that this is consistent with previous suggestions that in sub-AdS scales the holographic duality is an IR/IR correspondence and that the degrees of freedom are {\em not} those of a local QFT, but those of long strings. Strings are of course, famously UV finite.

10.003808

10.380937

11.496292

9.812308

10.727122

10.297426

10.945147

10.201359

10.226585

11.428444

9.661615

10.192736

9.98446

9.635237

9.885795

9.89413

9.837724

9.774023

9.91578

9.798394

9.640149

2207.06536

Daniel Harlow

Chris Akers, Netta Engelhardt, Daniel Harlow, Geoff Penington, Shreya Vardhan

The black hole interior from non-isometric codes and complexity

90 pages plus appendices, 26 figures. v2: minor corrections and references added

null

hep-th gr-qc quant-ph

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

Quantum error correction has given us a natural language for the emergence of spacetime, but the black hole interior poses a challenge for this framework: at late times the apparent number of interior degrees of freedom in effective field theory can vastly exceed the true number of fundamental degrees of freedom, so there can be no isometric (i.e. inner-product preserving) encoding of the former into the latter. In this paper we explain how quantum error correction nonetheless can be used to explain the emergence of the black hole interior, via the idea of "non-isometric codes protected by computational complexity". We show that many previous ideas, such as the existence of a large number of "null states", a breakdown of effective field theory for operations of exponential complexity, the quantum extremal surface calculation of the Page curve, post-selection, "state-dependent/state-specific" operator reconstruction, and the "simple entropy" approach to complexity coarse-graining, all fit naturally into this framework, and we illustrate all of these phenomena simultaneously in a soluble model.

[ { "created": "Wed, 13 Jul 2022 22:47:45 GMT", "version": "v1" }, { "created": "Tue, 4 Oct 2022 21:43:24 GMT", "version": "v2" } ]

2022-10-06

[ [ "Akers", "Chris", "" ], [ "Engelhardt", "Netta", "" ], [ "Harlow", "Daniel", "" ], [ "Penington", "Geoff", "" ], [ "Vardhan", "Shreya", "" ] ]

Quantum error correction has given us a natural language for the emergence of spacetime, but the black hole interior poses a challenge for this framework: at late times the apparent number of interior degrees of freedom in effective field theory can vastly exceed the true number of fundamental degrees of freedom, so there can be no isometric (i.e. inner-product preserving) encoding of the former into the latter. In this paper we explain how quantum error correction nonetheless can be used to explain the emergence of the black hole interior, via the idea of "non-isometric codes protected by computational complexity". We show that many previous ideas, such as the existence of a large number of "null states", a breakdown of effective field theory for operations of exponential complexity, the quantum extremal surface calculation of the Page curve, post-selection, "state-dependent/state-specific" operator reconstruction, and the "simple entropy" approach to complexity coarse-graining, all fit naturally into this framework, and we illustrate all of these phenomena simultaneously in a soluble model.

13.209193

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13.085918

11.590475

11.279985

15.873258

11.708167

11.840678

12.527478

12.114634

11.47725

12.016608

12.05826

11.659916

11.77767

12.909031

12.361637

1603.06770

Shuntaro Aoki

Shuntaro Aoki, Yusuke Yamada

DBI action of real linear superfield in 4D ${\cal N}=1$ conformal supergravity

25pages,v2:references added,v3:comments added

JHEP06(2016)168

10.1007/JHEP06(2016)168

null

hep-th

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

We construct the Dirac-Born-Infeld (DBI) action of a real linear multiplet in 4D $\mathcal{N}=1$ supergravity. Based on conformal supergravity, we derive the general condition under which the DBI action can be realized, and show that it can be constructed in the new minimal supergravity. We also generalize it to the matter coupled system.

[ { "created": "Tue, 22 Mar 2016 12:59:18 GMT", "version": "v1" }, { "created": "Fri, 1 Apr 2016 10:15:30 GMT", "version": "v2" }, { "created": "Fri, 3 Jun 2016 11:33:05 GMT", "version": "v3" } ]

2016-07-19

[ [ "Aoki", "Shuntaro", "" ], [ "Yamada", "Yusuke", "" ] ]

We construct the Dirac-Born-Infeld (DBI) action of a real linear multiplet in 4D $\mathcal{N}=1$ supergravity. Based on conformal supergravity, we derive the general condition under which the DBI action can be realized, and show that it can be constructed in the new minimal supergravity. We also generalize it to the matter coupled system.

5.82588

4.922149

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4.639716

5.129252

4.958723

4.77876

5.123809

5.095778

5.827084

4.932522

5.250721

5.574337

5.016043

5.12349

5.148091

5.130969

5.15619

4.963082

5.358818

4.974412

1305.1784

Fotis Farakos

Fotis Farakos and Alex Kehagias

Emergent Potentials in Consistent Higher Derivative N=1 Supergravity

Contribution to the Proceedings of the Corfu Summer Institute 2012, September 8-27, 2012, 12 pages

null

hep-th hep-ph

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

By employing consistent supersymmetric higher derivative terms, we show that the supersymmetric theories may have a sector where the scalar potential does no longer have the conventional form. The theories under consideration contain consistent higher-derivative terms which do not give rise to instabilities and ghost states. The chiral auxiliaries are still not propagating and can be integrated out. Their elimination gives rise to emerging potentials even when there is not a superpotential to start with. This novel feature of higher derivative supersymmetric chiral models is also extended to vector multiplets both in global and local supersymmetry. In particular, in supergravity, the emerging potentials give rise always to a de Sitter vacuum signaling supersymmetry breaking.

[ { "created": "Wed, 8 May 2013 11:45:44 GMT", "version": "v1" } ]

2013-05-09

[ [ "Farakos", "Fotis", "" ], [ "Kehagias", "Alex", "" ] ]

By employing consistent supersymmetric higher derivative terms, we show that the supersymmetric theories may have a sector where the scalar potential does no longer have the conventional form. The theories under consideration contain consistent higher-derivative terms which do not give rise to instabilities and ghost states. The chiral auxiliaries are still not propagating and can be integrated out. Their elimination gives rise to emerging potentials even when there is not a superpotential to start with. This novel feature of higher derivative supersymmetric chiral models is also extended to vector multiplets both in global and local supersymmetry. In particular, in supergravity, the emerging potentials give rise always to a de Sitter vacuum signaling supersymmetry breaking.

13.692389

11.905517

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11.988653

11.066638

12.696418

12.123296

12.316689

11.816113

14.179974

12.031906

12.171262

12.293409

12.457584

11.784645

12.079139

11.781355

11.874165

12.393095

12.577031

12.415729

2106.05153

Katarzyna Ole\'s

N. S. Manton, K. Oles, T. Romanczukiewicz and A. Wereszczynski

Collective coordinate model of kink-antikink collisions in $\phi^4$ theory

the metric and potential of the effective model are now included

Phys. Rev. Lett. 127, 071601 (2021)

10.1103/PhysRevLett.127.071601

null

hep-th

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

The fractal velocity pattern in symmetric kink-antikink collisions in $\phi^4$ theory is shown to emerge from a dynamical model with two effective moduli, the kink-antikink separation and the internal shape mode amplitude. The shape mode usefully approximates Lorentz contractions of the kink and antikink, and the previously problematic null-vector in the shape mode amplitude at zero separation is regularized.

[ { "created": "Wed, 9 Jun 2021 15:52:20 GMT", "version": "v1" }, { "created": "Wed, 14 Jul 2021 11:47:01 GMT", "version": "v2" } ]

2021-08-18

[ [ "Manton", "N. S.", "" ], [ "Oles", "K.", "" ], [ "Romanczukiewicz", "T.", "" ], [ "Wereszczynski", "A.", "" ] ]

The fractal velocity pattern in symmetric kink-antikink collisions in $\phi^4$ theory is shown to emerge from a dynamical model with two effective moduli, the kink-antikink separation and the internal shape mode amplitude. The shape mode usefully approximates Lorentz contractions of the kink and antikink, and the previously problematic null-vector in the shape mode amplitude at zero separation is regularized.

13.597773

14.453166

13.840611

11.937311

13.590645

14.459772

14.691705

13.763439

13.129287

14.570011

13.101653

13.816639

13.289638

12.22475

13.066054

13.274469

13.179686

12.831445

12.16652

13.031726

12.772881

1805.05088

Chandrasekhar Bhamidipati

Chandrasekhar Bhamidipati, Shrohan Mohapatra

A Note on Circular Geodesics and Phase Transitions of Black Holes

v2:14 pages, 1 figure. Major changes in text and equations; added results; key results unchanged; v3: revised version, to appear in Physics Letters B

null

10.1016/j.physletb.2019.02.042

null

hep-th gr-qc

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

The circular motion of charged test particles in the gravitational field of a Reissner-Nordstr\"{o}m black hole in Anti de Sitter space-time is investigated, using a set of independent parameters, such as charge Q, mass M and cosmological constant $\Lambda= -3/l^2$ of the space-time, and charge to mass ratio $\epsilon=q/m$ of the test particles. Classification of different spatial regions where circular motion is allowed, is presented, showing in particular, the presence of orbits at special limiting values, $M=4/\sqrt{6} Q$ and $l=6 Q$. Thermodynamically, these values are known to occur when the black hole is on the verge of a second order phase transition, there by, giving an interesting connection between thermodynamics and geodesics of black holes. We also comment on the possibility of such a connection for black holes in flat spacetime in a box.

[ { "created": "Mon, 14 May 2018 09:48:46 GMT", "version": "v1" }, { "created": "Sun, 13 Jan 2019 12:19:28 GMT", "version": "v2" }, { "created": "Sun, 10 Mar 2019 15:27:39 GMT", "version": "v3" } ]

2019-03-12

[ [ "Bhamidipati", "Chandrasekhar", "" ], [ "Mohapatra", "Shrohan", "" ] ]

The circular motion of charged test particles in the gravitational field of a Reissner-Nordstr\"{o}m black hole in Anti de Sitter space-time is investigated, using a set of independent parameters, such as charge Q, mass M and cosmological constant $\Lambda= -3/l^2$ of the space-time, and charge to mass ratio $\epsilon=q/m$ of the test particles. Classification of different spatial regions where circular motion is allowed, is presented, showing in particular, the presence of orbits at special limiting values, $M=4/\sqrt{6} Q$ and $l=6 Q$. Thermodynamically, these values are known to occur when the black hole is on the verge of a second order phase transition, there by, giving an interesting connection between thermodynamics and geodesics of black holes. We also comment on the possibility of such a connection for black holes in flat spacetime in a box.

8.721344

8.332685

7.39396

7.421314

7.821292

7.947718

9.174912

7.418473

8.183744

8.182249

7.851786

8.140675

7.930574

7.821079

8.050037

8.09576

8.127758

7.72387

8.091471

8.187587

8.139836

1011.3348

Yuki Watanabe

Yuki Watanabe (LMU, Munich)

Rate of gravitational inflaton decay via gauge trace anomaly

11 pages; v3: matched with the published version; results unchanged; accepted in Phys. Rev. D 2011

Phys.Rev.D83:043511,2011

10.1103/PhysRevD.83.043511

LMU-ASC-72/10

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

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

We analyze decay processes of the inflaton field, phi, during the coherent oscillation phase after inflation in f(phi)R gravity. It is inevitable that the inflaton decays gravitationally into gauge fields in the presence of f(phi)R coupling. We show a concrete calculation of the rate that the inflaton field decays into a pair of gauge fields via the trace anomaly. Comparing this new decay channel via the anomaly with the channels from the tree-level analysis, we find that the branching ratio crucially depends on masses and the internal multiplicities (flavor quantum number) of decay product particles. While the inflaton decays exclusively into light fields, heavy fields still play a role in quantum loops. We argue that this process in principle allows us to constrain the effects of arbitrary heavy particles in the reheating. We also apply our analysis to Higgs inflation, and find that the gravitational decay rate would never exceed gauge interaction decay rates if quantum gravity is unimportant.

[ { "created": "Mon, 15 Nov 2010 11:45:22 GMT", "version": "v1" }, { "created": "Wed, 12 Jan 2011 12:09:42 GMT", "version": "v2" }, { "created": "Tue, 26 Apr 2011 15:58:52 GMT", "version": "v3" } ]

2011-04-27

[ [ "Watanabe", "Yuki", "", "LMU, Munich" ] ]

We analyze decay processes of the inflaton field, phi, during the coherent oscillation phase after inflation in f(phi)R gravity. It is inevitable that the inflaton decays gravitationally into gauge fields in the presence of f(phi)R coupling. We show a concrete calculation of the rate that the inflaton field decays into a pair of gauge fields via the trace anomaly. Comparing this new decay channel via the anomaly with the channels from the tree-level analysis, we find that the branching ratio crucially depends on masses and the internal multiplicities (flavor quantum number) of decay product particles. While the inflaton decays exclusively into light fields, heavy fields still play a role in quantum loops. We argue that this process in principle allows us to constrain the effects of arbitrary heavy particles in the reheating. We also apply our analysis to Higgs inflation, and find that the gravitational decay rate would never exceed gauge interaction decay rates if quantum gravity is unimportant.

13.700294

16.216497

13.92856

13.376933

15.562441

15.170504

14.759373

15.430749

13.919106

15.930502

14.451078

13.850918

13.511505

13.681797

13.788637

13.411243

13.845681

14.442966

14.302558

14.061901

13.702885

1505.00007

David Pirtskhalava

David Pirtskhalava, Luca Santoni, Enrico Trincherini, Filippo Vernizzi

Weakly Broken Galileon Symmetry

26+8 pages, 2 figures, 2 tables

null

10.1088/1475-7516/2015/09/007

null

hep-th astro-ph.CO hep-ph

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

Effective theories of a scalar $\phi$ invariant under the internal \textit{galileon symmetry} $\phi\to\phi+b_\mu x^\mu$ have been extensively studied due to their special theoretical and phenomenological properties. In this paper, we introduce the notion of \textit{weakly broken galileon invariance}, which characterizes the unique class of couplings of such theories to gravity that maximally retain their defining symmetry. The curved-space remnant of the galileon's quantum properties allows to construct (quasi) de Sitter backgrounds largely insensitive to loop corrections. We exploit this fact to build novel cosmological models with interesting phenomenology, relevant for both inflation and late-time acceleration of the universe.

[ { "created": "Thu, 30 Apr 2015 20:00:23 GMT", "version": "v1" } ]

2015-09-16

[ [ "Pirtskhalava", "David", "" ], [ "Santoni", "Luca", "" ], [ "Trincherini", "Enrico", "" ], [ "Vernizzi", "Filippo", "" ] ]

Effective theories of a scalar $\phi$ invariant under the internal \textit{galileon symmetry} $\phi\to\phi+b_\mu x^\mu$ have been extensively studied due to their special theoretical and phenomenological properties. In this paper, we introduce the notion of \textit{weakly broken galileon invariance}, which characterizes the unique class of couplings of such theories to gravity that maximally retain their defining symmetry. The curved-space remnant of the galileon's quantum properties allows to construct (quasi) de Sitter backgrounds largely insensitive to loop corrections. We exploit this fact to build novel cosmological models with interesting phenomenology, relevant for both inflation and late-time acceleration of the universe.

8.359444

8.84443

9.086885

8.340691

9.840552

8.431515

8.975202

8.437668

8.597543

10.242942

8.548092

8.418901

8.269526

8.103642

8.25362

8.327869

8.268805

8.519979

8.038465

8.089803

8.272236

2110.05509

Jakub Vo\v{s}mera

Matthias R. Gaberdiel, Bob Knighton, Jakub Vo\v{s}mera

D-branes in $\mathrm{AdS}_3\times \mathrm{S}^3\times \mathbb{T}^4$ at $k=1$ and their holographic duals

49 pages, 3 figures

null

hep-th

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

String theory on $\text{AdS}_3\times \text{S}^3\times \mathbb{T}^4$ with minimal $k=1$ NS-NS flux can be described in terms of a free field worldsheet theory in the hybrid formalism. We construct various D-branes of this string theory and calculate their associated cylinder amplitudes. We find that these amplitudes match with the cylinder correlators of certain boundary states of the dual symmetric orbifold CFT $\text{Sym}(\mathbb{T}^4)$, thus suggesting a direct correspondence between these boundary conditions. We also show that the disk amplitudes of these D-branes localise to those points in the worldsheet moduli space where the worldsheet disk holomorphically covers the spacetime disk.

[ { "created": "Mon, 11 Oct 2021 18:00:07 GMT", "version": "v1" } ]

2021-10-13

[ [ "Gaberdiel", "Matthias R.", "" ], [ "Knighton", "Bob", "" ], [ "Vošmera", "Jakub", "" ] ]

String theory on $\text{AdS}_3\times \text{S}^3\times \mathbb{T}^4$ with minimal $k=1$ NS-NS flux can be described in terms of a free field worldsheet theory in the hybrid formalism. We construct various D-branes of this string theory and calculate their associated cylinder amplitudes. We find that these amplitudes match with the cylinder correlators of certain boundary states of the dual symmetric orbifold CFT $\text{Sym}(\mathbb{T}^4)$, thus suggesting a direct correspondence between these boundary conditions. We also show that the disk amplitudes of these D-branes localise to those points in the worldsheet moduli space where the worldsheet disk holomorphically covers the spacetime disk.

6.381789

4.771929

7.22803

4.743717

4.92199

4.821859

5.096467

4.606002

4.653705

7.269912

4.668011

5.111352

6.023154

5.245705

5.160284

5.063117

5.23642

5.158145

5.379398

5.61389

5.072568

1406.5798

Samir Mathur

Ali Masoumi and Samir D. Mathur

An equation of state in the limit of high densities

14 pages, 9 figures. Some changes of presentation arising from our being made aware of prior work in references [2], [6]

Phys. Rev. D 90, 084052 (2014)

10.1103/PhysRevD.90.084052

null

hep-th gr-qc

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

We take string theory in a box of volume $V$, and ask for the entropy $S(E,V)$. We let $E$ exceed the value $E_{bh}$ corresponding to the largest black hole that can fit in the box. Several approaches in the past have suggested the expression $S\sim \sqrt{EV/G}$. We recall these arguments, and in particular expand on an argument that uses dualities of string theory. We require that expression for $S(E,V)$ be invariant under the T and S dualities, and that it agree with the black hole entropy when $E\sim E_{bh}$. These criteria lead to the above expression for $S$. We note that this expression had been obtained also by a imposing a quite different requirement -- that the entropy within a cosmological horizon be of order the Bekenstein entropy for a black hole of size the cosmological horizon. We recall the earlier proposed model of a `dense gas of black holes' to model this entropy, and discuss its realization as a set of intersecting brane states. Finally we speculate that the cosmological evolution of such a phase may depart from the evolution expected from the classical Einstein equations, since the very large value of the entropy can lead to novel effects similar to the fuzzball dynamics found in black holes.

[ { "created": "Mon, 23 Jun 2014 02:36:33 GMT", "version": "v1" }, { "created": "Thu, 26 Jun 2014 19:21:17 GMT", "version": "v2" } ]

2014-11-05

[ [ "Masoumi", "Ali", "" ], [ "Mathur", "Samir D.", "" ] ]

We take string theory in a box of volume $V$, and ask for the entropy $S(E,V)$. We let $E$ exceed the value $E_{bh}$ corresponding to the largest black hole that can fit in the box. Several approaches in the past have suggested the expression $S\sim \sqrt{EV/G}$. We recall these arguments, and in particular expand on an argument that uses dualities of string theory. We require that expression for $S(E,V)$ be invariant under the T and S dualities, and that it agree with the black hole entropy when $E\sim E_{bh}$. These criteria lead to the above expression for $S$. We note that this expression had been obtained also by a imposing a quite different requirement -- that the entropy within a cosmological horizon be of order the Bekenstein entropy for a black hole of size the cosmological horizon. We recall the earlier proposed model of a `dense gas of black holes' to model this entropy, and discuss its realization as a set of intersecting brane states. Finally we speculate that the cosmological evolution of such a phase may depart from the evolution expected from the classical Einstein equations, since the very large value of the entropy can lead to novel effects similar to the fuzzball dynamics found in black holes.

10.179474

10.466504

10.412208

10.133038

10.898279

10.768152

10.812622

10.458562

10.333274

11.541229

10.13484

10.19147

10.174512

10.17017

10.19563

10.298306

10.454179

10.124518

10.234396

10.147507

9.902765

1212.3058

Martin Beneke

M. Beneke and P. Moch (TU Munich)

On "dynamical mass" generation in Euclidean de Sitter space

LaTeX, 15 pages

null

10.1103/PhysRevD.87.064018

TUM-HEP-870/12, TTK-12-49

hep-th gr-qc hep-ph

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

We consider the perturbative treatment of the minimally coupled, massless, self-interacting scalar field in Euclidean de Sitter space. Generalizing work of Rajaraman, we obtain the dynamical mass m^2 \propto sqrt{lambda} H^2 of the scalar for non-vanishing Lagrangian masses and the first perturbative quantum correction in the massless case. We develop the rules of a systematic perturbative expansion, which treats the zero-mode non-perturbatively, and goes in powers of sqrt{lambda}. The infrared divergences are self-regulated by the zero-mode dynamics. Thus, in Euclidean de Sitter space the interacting, massless scalar field is just as well-defined as the massive field. We then show that the dynamical mass can be recovered from the diagrammatic expansion of the self-energy and a consistent solution of the Schwinger-Dyson equation, but requires the summation of a divergent series of loop diagrams of arbitrarily high order. Finally, we note that the value of the long-wavelength mode two-point function in Euclidean de Sitter space agrees at leading order with the stochastic treatment in Lorentzian de Sitter space, in any number of dimensions.

[ { "created": "Thu, 13 Dec 2012 06:04:22 GMT", "version": "v1" } ]

2015-06-12

[ [ "Beneke", "M.", "", "TU Munich" ], [ "Moch", "P.", "", "TU Munich" ] ]

We consider the perturbative treatment of the minimally coupled, massless, self-interacting scalar field in Euclidean de Sitter space. Generalizing work of Rajaraman, we obtain the dynamical mass m^2 \propto sqrt{lambda} H^2 of the scalar for non-vanishing Lagrangian masses and the first perturbative quantum correction in the massless case. We develop the rules of a systematic perturbative expansion, which treats the zero-mode non-perturbatively, and goes in powers of sqrt{lambda}. The infrared divergences are self-regulated by the zero-mode dynamics. Thus, in Euclidean de Sitter space the interacting, massless scalar field is just as well-defined as the massive field. We then show that the dynamical mass can be recovered from the diagrammatic expansion of the self-energy and a consistent solution of the Schwinger-Dyson equation, but requires the summation of a divergent series of loop diagrams of arbitrarily high order. Finally, we note that the value of the long-wavelength mode two-point function in Euclidean de Sitter space agrees at leading order with the stochastic treatment in Lorentzian de Sitter space, in any number of dimensions.

8.418778

8.572869

8.425284

8.020745

8.666788

8.758883

8.428559

8.021849

8.200914

9.178564

8.117285

8.19084

8.307563

8.153858

8.233766

8.288

8.160776

8.093948

8.023194

8.327629

8.027511

hep-th/9208017

null

D.M.Gitman and A.L.Shelepin

Coherent States of the SU(N) groups

19pg, IFUSP/P-974 March/1992

J.Phys. A26 (1993) 313-328

10.1088/0305-4470/26/2/018

null

hep-th

null

Coherent states $(CS)$ of the $SU(N)$ groups are constructed explicitly and their properties are investigated. They represent a nontrivial generalization of the spining $CS$ of the $SU(2)$ group. The $CS$ are parametrized by the points of the coset space, which is, in that particular case, the projective space $CP^{N-1}$ and plays the role of the phase space of a corresponding classical mechanics. The $CS$ possess of a minimum uncertainty, they minimize an invariant dispersion of the quadratic Casimir operator. The classical limit is ivestigated in terms of symbols of operators. The role of the Planck constant playes $h=P^{-1}$, where $P$ is the signature of the representation. The classical limit of the so called star commutator generates the Poisson bracket in the $CP^{N-1}$ phase space. The logarithm of the modulus of the $CS$ overlapping, being interpreted as a symmetric in the space, gives the Fubini-Study metric in $CP^{N-1}$. The $CS$ constructed are useful for the quasi-classical analysis of the quantum equations of the $SU(N)$ gauge symmetric theories.

[ { "created": "Wed, 5 Aug 1992 16:17:28 GMT", "version": "v1" } ]

2009-10-22

[ [ "Gitman", "D. M.", "" ], [ "Shelepin", "A. L.", "" ] ]

Coherent states $(CS)$ of the $SU(N)$ groups are constructed explicitly and their properties are investigated. They represent a nontrivial generalization of the spining $CS$ of the $SU(2)$ group. The $CS$ are parametrized by the points of the coset space, which is, in that particular case, the projective space $CP^{N-1}$ and plays the role of the phase space of a corresponding classical mechanics. The $CS$ possess of a minimum uncertainty, they minimize an invariant dispersion of the quadratic Casimir operator. The classical limit is ivestigated in terms of symbols of operators. The role of the Planck constant playes $h=P^{-1}$, where $P$ is the signature of the representation. The classical limit of the so called star commutator generates the Poisson bracket in the $CP^{N-1}$ phase space. The logarithm of the modulus of the $CS$ overlapping, being interpreted as a symmetric in the space, gives the Fubini-Study metric in $CP^{N-1}$. The $CS$ constructed are useful for the quasi-classical analysis of the quantum equations of the $SU(N)$ gauge symmetric theories.

7.999098

8.592727

8.928791

8.013123

8.636407

8.605654

9.06331

7.997207

8.171474

8.681757

7.849573

7.916738

7.838965

7.681712

8.033726

8.007098

7.874556

7.738251

7.859457

7.882767

7.749776

hep-th/0604219

Olaf Lechtenfeld

Michael Klawunn, Olaf Lechtenfeld, Stefan Petersen

Moduli-Space Dynamics of Noncommutative Abelian Sigma-Model Solitons

1+15 pages, 2 figures; v2: reference added, to appear in JHEP

JHEP0606:028,2006

10.1088/1126-6708/2006/06/028

null

hep-th

null

In the noncommutative (Moyal) plane, we relate exact U(1) sigma-model solitons to generic scalar-field solitons for an infinitely stiff potential. The static k-lump moduli space C^k/S_k features a natural K"ahler metric induced from an embedding Grassmannian. The moduli-space dynamics is blind against adding a WZW-like term to the sigma-model action and thus also applies to the integrable U(1) Ward model. For the latter's two-soliton motion we compare the exact field configurations with their supposed moduli-space approximations. Surprisingly, the two do not match, which questions the adiabatic method for noncommutative solitons.

[ { "created": "Fri, 28 Apr 2006 18:20:01 GMT", "version": "v1" }, { "created": "Wed, 7 Jun 2006 10:04:40 GMT", "version": "v2" } ]

2009-11-11

[ [ "Klawunn", "Michael", "" ], [ "Lechtenfeld", "Olaf", "" ], [ "Petersen", "Stefan", "" ] ]

In the noncommutative (Moyal) plane, we relate exact U(1) sigma-model solitons to generic scalar-field solitons for an infinitely stiff potential. The static k-lump moduli space C^k/S_k features a natural K"ahler metric induced from an embedding Grassmannian. The moduli-space dynamics is blind against adding a WZW-like term to the sigma-model action and thus also applies to the integrable U(1) Ward model. For the latter's two-soliton motion we compare the exact field configurations with their supposed moduli-space approximations. Surprisingly, the two do not match, which questions the adiabatic method for noncommutative solitons.

18.125906

15.567072

17.719412

15.609284

15.796415

16.845673

17.371916

15.234596

15.660993

20.586859

15.507731

16.856461

16.781107

16.03965

16.93615

16.222483

17.043669

16.568735

16.528673

17.218901

16.733664

2109.09759

Sayantan Choudhury

Kiran Adhikari, Sayantan Choudhury, Sourabh Kumar, Saptarshi Mandal, Nilesh Pandey, Abhishek Roy, Soumya Sarkar, Partha Sarker, Saadat Salman Shariff

Circuit Complexity in $\mathcal{Z}_{2}$ ${\cal EEFT}$

35 pages, 5 figures, 3 tables, reference list updated and version modified, Accepted for publication in Symmetry (section: Physics and Symmetry/Asymmetry, Special issue: Symmetry and Geometry in Physics II)

Symmetry 2023, 15(1), 31

10.3390/sym15010031

null

hep-th cond-mat.stat-mech gr-qc hep-ph quant-ph

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

Motivated by recent studies of circuit complexity in weakly interacting scalar field theory, we explore the computation of circuit complexity in $\mathcal{Z}_2$ Even Effective Field Theories ($\mathcal{Z}_2$ EEFTs). We consider a massive free field theory with higher-order Wilsonian operators such as $\phi^{4}$, $\phi^{6}$ and $\phi^8.$ To facilitate our computation we regularize the theory by putting it on a lattice. First, we consider a simple case of two oscillators and later generalize the results to $N$ oscillators. The study has been carried out for nearly Gaussian states. In our computation, the reference state is an approximately Gaussian unentangled state, and the corresponding target state, calculated from our theory, is an approximately Gaussian entangled state. We compute the complexity using the geometric approach developed by Nielsen, parameterizing the path ordered unitary transformation and minimizing the geodesic in the space of unitaries. The contribution of higher-order operators, to the circuit complexity, in our theory has been discussed. We also explore the dependency of complexity with other parameters in our theory for various cases.

[ { "created": "Mon, 20 Sep 2021 18:00:04 GMT", "version": "v1" }, { "created": "Fri, 1 Oct 2021 16:48:43 GMT", "version": "v2" }, { "created": "Sat, 19 Mar 2022 15:30:48 GMT", "version": "v3" }, { "created": "Tue, 18 Oct 2022 02:51:40 GMT", "version": "v4" }, { "created": "Fri, 16 Dec 2022 10:38:24 GMT", "version": "v5" } ]

2022-12-23

[ [ "Adhikari", "Kiran", "" ], [ "Choudhury", "Sayantan", "" ], [ "Kumar", "Sourabh", "" ], [ "Mandal", "Saptarshi", "" ], [ "Pandey", "Nilesh", "" ], [ "Roy", "Abhishek", "" ], [ "Sarkar", "Soumya", "" ], [ "Sarker", "Partha", "" ], [ "Shariff", "Saadat Salman", "" ] ]

Motivated by recent studies of circuit complexity in weakly interacting scalar field theory, we explore the computation of circuit complexity in $\mathcal{Z}_2$ Even Effective Field Theories ($\mathcal{Z}_2$ EEFTs). We consider a massive free field theory with higher-order Wilsonian operators such as $\phi^{4}$, $\phi^{6}$ and $\phi^8.$ To facilitate our computation we regularize the theory by putting it on a lattice. First, we consider a simple case of two oscillators and later generalize the results to $N$ oscillators. The study has been carried out for nearly Gaussian states. In our computation, the reference state is an approximately Gaussian unentangled state, and the corresponding target state, calculated from our theory, is an approximately Gaussian entangled state. We compute the complexity using the geometric approach developed by Nielsen, parameterizing the path ordered unitary transformation and minimizing the geodesic in the space of unitaries. The contribution of higher-order operators, to the circuit complexity, in our theory has been discussed. We also explore the dependency of complexity with other parameters in our theory for various cases.

8.081571

7.842106

8.82432

8.567851

8.419436

8.491867

8.23994

8.131534

8.306588

9.37224

8.304426

7.865874

8.236925

7.933905

7.776632

8.033765

8.073658

7.715053

7.804399

8.048504

7.713637

2105.08207

Baurzhan Mukhametzhanov

Baur Mukhametzhanov

Half-wormholes in SYK with one time point

14 pages, 3 figures, minor corrections

SciPost Phys. 12, 029 (2022)

10.21468/SciPostPhys.12.1.029

null

hep-th

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

In this note we study the SYK model with one time point, recently considered by Saad, Shenker, Stanford, and Yao. Working in a collective field description, they derived a remarkable identity: the square of the partition function with fixed couplings is well approximated by a "wormhole" saddle plus a "pair of linked half-wormholes" saddle. It explains factorization of decoupled systems. Here, we derive an explicit formula for the half-wormhole contribution. It is expressed through a hyperpfaffian of the tensor of SYK couplings. We then develop a perturbative expansion around the half-wormhole saddle. This expansion truncates at a finite order and gives the exact answer. The last term in the perturbative expansion turns out to coincide with the wormhole contribution. In this sense the wormhole saddle in this model does not need to be added separately, but instead can be viewed as a large fluctuation around the linked half-wormholes.

[ { "created": "Tue, 18 May 2021 00:10:57 GMT", "version": "v1" }, { "created": "Wed, 26 May 2021 20:30:47 GMT", "version": "v2" }, { "created": "Wed, 7 Jul 2021 17:55:39 GMT", "version": "v3" }, { "created": "Wed, 13 Oct 2021 17:40:09 GMT", "version": "v4" } ]

2022-01-19

[ [ "Mukhametzhanov", "Baur", "" ] ]

In this note we study the SYK model with one time point, recently considered by Saad, Shenker, Stanford, and Yao. Working in a collective field description, they derived a remarkable identity: the square of the partition function with fixed couplings is well approximated by a "wormhole" saddle plus a "pair of linked half-wormholes" saddle. It explains factorization of decoupled systems. Here, we derive an explicit formula for the half-wormhole contribution. It is expressed through a hyperpfaffian of the tensor of SYK couplings. We then develop a perturbative expansion around the half-wormhole saddle. This expansion truncates at a finite order and gives the exact answer. The last term in the perturbative expansion turns out to coincide with the wormhole contribution. In this sense the wormhole saddle in this model does not need to be added separately, but instead can be viewed as a large fluctuation around the linked half-wormholes.

8.96139

8.575665

10.605725

8.288722

8.373343

8.777634

9.215492

9.069128

8.391992

10.917826

8.972442

8.68547

9.079936

8.737324

8.823082

8.552835

8.639837

8.627729

8.658849

8.957924

8.522791

1408.6300

Mukund Rangamani

Matthew Headrick, Veronika E. Hubeny, Albion Lawrence, Mukund Rangamani

Causality & holographic entanglement entropy

42 pages, 11 figures. v2: minor clarifications + refs added

JHEP 12 (2014) 162

10.1007/JHEP12(2014)162

DCPT-14/33, BRX-TH-6284

hep-th gr-qc

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

We identify conditions for the entanglement entropy as a function of spatial region to be compatible with causality in an arbitrary relativistic quantum field theory. We then prove that the covariant holographic entanglement entropy prescription (which relates entanglement entropy of a given spatial region on the boundary to the area of a certain extremal surface in the bulk) obeys these conditions, as long as the bulk obeys the null energy condition. While necessary for the validity of the prescription, this consistency requirement is quite nontrivial from the bulk standpoint, and therefore provides important additional evidence for the prescription. In the process, we introduce a codimension-zero bulk region, named the entanglement wedge, naturally associated with the given boundary spatial region. We propose that the entanglement wedge is the most natural bulk region corresponding to the boundary reduced density matrix.

[ { "created": "Wed, 27 Aug 2014 02:48:15 GMT", "version": "v1" }, { "created": "Tue, 18 Nov 2014 00:30:54 GMT", "version": "v2" } ]

2015-06-22

[ [ "Headrick", "Matthew", "" ], [ "Hubeny", "Veronika E.", "" ], [ "Lawrence", "Albion", "" ], [ "Rangamani", "Mukund", "" ] ]

We identify conditions for the entanglement entropy as a function of spatial region to be compatible with causality in an arbitrary relativistic quantum field theory. We then prove that the covariant holographic entanglement entropy prescription (which relates entanglement entropy of a given spatial region on the boundary to the area of a certain extremal surface in the bulk) obeys these conditions, as long as the bulk obeys the null energy condition. While necessary for the validity of the prescription, this consistency requirement is quite nontrivial from the bulk standpoint, and therefore provides important additional evidence for the prescription. In the process, we introduce a codimension-zero bulk region, named the entanglement wedge, naturally associated with the given boundary spatial region. We propose that the entanglement wedge is the most natural bulk region corresponding to the boundary reduced density matrix.

6.576836

6.638011

7.271217

6.200613

6.918892

6.580771

6.742709

6.392807

5.988641

7.493274

6.421074

6.080232

6.650382

6.175019

6.215415

6.509872

6.165915

6.109236

6.186191

6.402573

6.239662

1209.6061

Keshav Dasgupta

Fang Chen, Long Chen, Keshav Dasgupta, Mohammed Mia and Olivier Trottier

A UV complete model of Large N Thermal QCD

LaTex, 8 pages, 3 figures, PRD format; v2: Typos corrected, references and a footnote added

null

10.1103/PhysRevD.87.041901

null

hep-th

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

Many recent works on large N holographic QCD in the planar limit have not considered UV completions, restricting exclusively towards analyzing the IR physics. Due to this, the UV problems like Landau poles and divergences of Wilson loops including instabilities at high temperatures have not been addressed. In some of our recent papers, we have discussed a possible UV completion, which is conformal in the UV and confining in the far IR, that avoids the Landau poles and the Wilson loop divergences. In this paper we give a field theory realization of this including the complete RG flow. We extend our UV complete model to study scenarios both above and below the deconfinement temperature and argue how phase transition in our model should be understood. Interestingly, because of the UV completion, subtle issues like instability due to negative specific heat do not appear. We also briefly elucidate the advantages that our model may have over other models studying large N thermal QCD.

[ { "created": "Wed, 26 Sep 2012 20:01:38 GMT", "version": "v1" }, { "created": "Sat, 6 Oct 2012 03:20:08 GMT", "version": "v2" } ]

2013-03-14

[ [ "Chen", "Fang", "" ], [ "Chen", "Long", "" ], [ "Dasgupta", "Keshav", "" ], [ "Mia", "Mohammed", "" ], [ "Trottier", "Olivier", "" ] ]

Many recent works on large N holographic QCD in the planar limit have not considered UV completions, restricting exclusively towards analyzing the IR physics. Due to this, the UV problems like Landau poles and divergences of Wilson loops including instabilities at high temperatures have not been addressed. In some of our recent papers, we have discussed a possible UV completion, which is conformal in the UV and confining in the far IR, that avoids the Landau poles and the Wilson loop divergences. In this paper we give a field theory realization of this including the complete RG flow. We extend our UV complete model to study scenarios both above and below the deconfinement temperature and argue how phase transition in our model should be understood. Interestingly, because of the UV completion, subtle issues like instability due to negative specific heat do not appear. We also briefly elucidate the advantages that our model may have over other models studying large N thermal QCD.

12.909299

12.69383

14.157496

12.113339

12.377974

13.028067

12.443413

12.465068

11.911536

13.65425

12.250591

12.239915

12.774047

12.224694

12.450328

12.636244

12.630548

12.255336

11.828565

12.573712

12.497531

hep-th/0610040

Christoph Stephan A.

Jan-Hendrik Jureit, Christoph A. Stephan

On a Classification of Irreducible Almost-Commutative Geometries IV

Revised version for publication in the Journal of Mathematical Physics

J.Math.Phys.49:033502,2008

10.1063/1.2863695

null

hep-th

null

In this paper we will classify the finite spectral triples with KO-dimension six, following the classification found in [1,2,3,4], with up to four summands in the matrix algebra. Again, heavy use is made of Kra jewski diagrams [5]. Furthermore we will show that any real finite spectral triple in KO-dimension 6 is automatically S 0 -real. This work has been inspired by the recent paper by Alain Connes [6] and John Barrett [7]. In the classification we find that the standard model of particle physics in its minimal version fits the axioms of noncommutative geometry in the case of KO-dimension six. By minimal version it is meant that at least one neutrino has to be massless and mass-terms mixing particles and antiparticles are prohibited

[ { "created": "Tue, 3 Oct 2006 12:44:40 GMT", "version": "v1" }, { "created": "Sun, 3 Feb 2008 21:09:43 GMT", "version": "v2" } ]

2008-11-26

[ [ "Jureit", "Jan-Hendrik", "" ], [ "Stephan", "Christoph A.", "" ] ]

In this paper we will classify the finite spectral triples with KO-dimension six, following the classification found in [1,2,3,4], with up to four summands in the matrix algebra. Again, heavy use is made of Kra jewski diagrams [5]. Furthermore we will show that any real finite spectral triple in KO-dimension 6 is automatically S 0 -real. This work has been inspired by the recent paper by Alain Connes [6] and John Barrett [7]. In the classification we find that the standard model of particle physics in its minimal version fits the axioms of noncommutative geometry in the case of KO-dimension six. By minimal version it is meant that at least one neutrino has to be massless and mass-terms mixing particles and antiparticles are prohibited

10.534798

14.120139

12.191319

11.661668

12.523363

10.986167

11.391541

11.475565

11.261876

12.382365

10.93541

10.987897

11.611191

10.85363

11.145608

10.907767

11.159498

11.047976

11.161989

11.607192

10.395631

hep-th/9701145

Marco Billo

M. Billo', M. Caselle and A. D'Adda

Analytic results in 2+1-dimensional Finite Temperature LGT

15 pages, Latex, 2 figures included with epsf

Int.J.Mod.Phys. A12 (1997) 5753-5766

10.1142/S0217751X97003017

DFTT 6/97, NORDITA 97/5P

hep-th hep-lat

null

In a 2+1-dimensional pure LGT at finite temperature the critical coupling for the deconfinement transition scales as $\beta_c(n_t) = J_c n_t + a_1$, where $n_t$ is the number of links in the ``time-like'' direction of the symmetric lattice. We study the effective action for the Polyakov loop obtained by neglecting the space-like plaquettes, and we are able to compute analytically in this context the coefficient $a_1$ for any SU(N) gauge group; the value of $J_c$ is instead obtained from the effective action by means of (improved) mean field techniques. Both coefficients have already been calculated in the large N limit in a previous paper. The results are in very good agreement with the existing Monte Carlo simulations. This fact supports the conjecture that, in the 2+1-dimensional theory, space-like plaquettes have little influence on the dynamics of the Polyakov loops in the deconfined phase.

[ { "created": "Mon, 27 Jan 1997 16:13:01 GMT", "version": "v1" } ]

2009-10-30

[ [ "Billo'", "M.", "" ], [ "Caselle", "M.", "" ], [ "D'Adda", "A.", "" ] ]

In a 2+1-dimensional pure LGT at finite temperature the critical coupling for the deconfinement transition scales as $\beta_c(n_t) = J_c n_t + a_1$, where $n_t$ is the number of links in the ``time-like'' direction of the symmetric lattice. We study the effective action for the Polyakov loop obtained by neglecting the space-like plaquettes, and we are able to compute analytically in this context the coefficient $a_1$ for any SU(N) gauge group; the value of $J_c$ is instead obtained from the effective action by means of (improved) mean field techniques. Both coefficients have already been calculated in the large N limit in a previous paper. The results are in very good agreement with the existing Monte Carlo simulations. This fact supports the conjecture that, in the 2+1-dimensional theory, space-like plaquettes have little influence on the dynamics of the Polyakov loops in the deconfined phase.

6.499606

7.095769

6.795941

6.815196

7.681897

7.149781

6.739192

6.72498

6.437849

7.00698

6.786044

6.471476

6.415682

6.404469

6.394035

6.624207

6.445909

6.191215

6.382477

6.44634

6.289735

2211.13689

Wenqi Ke

Karim Benakli, Cassiano A. Daniel, Wenqi Ke

Open Superstring First Mass Level Effective Lagrangian: Massive Spin-2 in an Electromagnetic Background

11 pages

null

10.1016/j.physletb.2023.137680

null

hep-th hep-ph

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

Minimal coupling leads to problems such as loss of causality if one wants to describe charged particles of spin greater than one propagating in a constant electromagnetic background. Regge trajectories in string theory contain such states, so their study may allow us to investigate possible avenues to remedy the pathologies. We present here two explicit forms, related by field redefinitions, of the Lagrangian describing the bosonic states in the first massive level of open superstrings in four dimensions. The first one reduces, when the electromagnetic field is set to zero, to the Fierz-Pauli Lagrangian for the spin-2 mode. The second one is a more compact form which simplifies the derivation of a Fierz-Pauli system of equations of motion and constraints.

[ { "created": "Thu, 24 Nov 2022 16:13:03 GMT", "version": "v1" } ]

2023-02-01

[ [ "Benakli", "Karim", "" ], [ "Daniel", "Cassiano A.", "" ], [ "Ke", "Wenqi", "" ] ]

Minimal coupling leads to problems such as loss of causality if one wants to describe charged particles of spin greater than one propagating in a constant electromagnetic background. Regge trajectories in string theory contain such states, so their study may allow us to investigate possible avenues to remedy the pathologies. We present here two explicit forms, related by field redefinitions, of the Lagrangian describing the bosonic states in the first massive level of open superstrings in four dimensions. The first one reduces, when the electromagnetic field is set to zero, to the Fierz-Pauli Lagrangian for the spin-2 mode. The second one is a more compact form which simplifies the derivation of a Fierz-Pauli system of equations of motion and constraints.

10.918461

10.525414

10.920887

9.760644

11.487707

10.682346

10.818228

10.587791

9.673538

12.117626

10.28787

10.273849

11.317804

10.562294

10.515375

10.363114

10.715509

11.002052

10.489987

10.659861

10.037345

hep-th/9312075

null

Peter Schupp

Quantum Groups, Non-Commutative Differential Geometry and Applications

137 pages, PhD thesis

null

LBL-34942 & UCB-93/35

hep-th math.QA

null

The topic of this thesis is the development of a versatile and geometrically motivated differential calculus on non-commutative or quantum spaces, providing powerful but easy-to-use mathematical tools for applications in physics and related sciences. A generalization of unitary time evolution is proposed and studied for a simple 2-level system, leading to non-conservation of microscopic entropy, a phenomenon new to quantum mechanics. A Cartan calculus that combines functions, forms, Lie derivatives and inner derivations along general vector fields into one big algebra is constructed for quantum groups and then extended to quantum planes. The construction of a tangent bundle on a quantum group manifold and an BRST type approach to quantum group gauge theory are given as further examples of applications. The material is organized in two parts: Part I studies vector fields on quantum groups, emphasizing Hopf algebraic structures, but also introducing a `quantum geometric' construction. Using a generalized semi-direct product construction we combine the dual Hopf algebras \A\ of functions and \U\ of left-invariant vector fields into one fully bicovariant algebra of differential operators. The pure braid group is introduced as the commutant of $\Delta (\U)$. It provides invariant maps $\A \to \U$ and thereby bicovariant vector fields, casimirs and metrics. This construction allows the translation of undeformed matrix expressions into their less obvious quantum algebraic counter parts. We study this in detail for quasitriangular Hopf algebras, giving the determinant and

[ { "created": "Fri, 10 Dec 1993 02:28:21 GMT", "version": "v1" } ]

2008-02-03

[ [ "Schupp", "Peter", "" ] ]

The topic of this thesis is the development of a versatile and geometrically motivated differential calculus on non-commutative or quantum spaces, providing powerful but easy-to-use mathematical tools for applications in physics and related sciences. A generalization of unitary time evolution is proposed and studied for a simple 2-level system, leading to non-conservation of microscopic entropy, a phenomenon new to quantum mechanics. A Cartan calculus that combines functions, forms, Lie derivatives and inner derivations along general vector fields into one big algebra is constructed for quantum groups and then extended to quantum planes. The construction of a tangent bundle on a quantum group manifold and an BRST type approach to quantum group gauge theory are given as further examples of applications. The material is organized in two parts: Part I studies vector fields on quantum groups, emphasizing Hopf algebraic structures, but also introducing a `quantum geometric' construction. Using a generalized semi-direct product construction we combine the dual Hopf algebras \A\ of functions and \U\ of left-invariant vector fields into one fully bicovariant algebra of differential operators. The pure braid group is introduced as the commutant of $\Delta (\U)$. It provides invariant maps $\A \to \U$ and thereby bicovariant vector fields, casimirs and metrics. This construction allows the translation of undeformed matrix expressions into their less obvious quantum algebraic counter parts. We study this in detail for quasitriangular Hopf algebras, giving the determinant and

5.217081

13.268658

14.82895

13.216843

13.600457

14.701078

14.741416

13.356971

12.792992

15.058023

12.742163

11.051346

12.535653

11.927545

11.65725

11.640471

11.29281

11.597715

11.66125

12.724403

10.361884

1009.4422

Anamaria Font

Heterotic strings on G_2 orbifolds

LaTex, 21 pages

JHEP 1011:115,2010

10.1007/JHEP11(2010)115

null

hep-th

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

We study compactification of heterotic strings to three dimensions on orbifolds of G_2 holonomy. We consider the standard embedding and show that the gauge group is broken from E_8 x E_8 or SO(32) to F_4 x E_8 or SO(25) respectively. We also compute the spectrum of massless states and compare with the results obtained from reduction of the 10-dimensional fields. Non-standard embeddings are discussed briefly. For type II compactifications we verify that IIB and IIA have equal massless spectrum.

[ { "created": "Wed, 22 Sep 2010 16:53:25 GMT", "version": "v1" } ]

2010-12-02

[ [ "Font", "Anamaria", "" ] ]

We study compactification of heterotic strings to three dimensions on orbifolds of G_2 holonomy. We consider the standard embedding and show that the gauge group is broken from E_8 x E_8 or SO(32) to F_4 x E_8 or SO(25) respectively. We also compute the spectrum of massless states and compare with the results obtained from reduction of the 10-dimensional fields. Non-standard embeddings are discussed briefly. For type II compactifications we verify that IIB and IIA have equal massless spectrum.

7.372705

6.506091

7.591074

6.472425

6.849777

6.498027

6.740485

6.715497

6.571887

8.450733

6.479616

6.143621

7.134744

6.256707

6.287646

6.501536

6.396765

6.286046

6.407353

7.124694

6.221799

1003.2599

Horatiu Stefan Nastase

Asadig Mohammed, Jeff Murugan and Horatiu Nastase

Looking for a Matrix model of ABJM

41 pages, latex; reference added

Phys.Rev.D82:086004,2010

10.1103/PhysRevD.82.086004

null

hep-th

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

Encouraged by the recent construction of fuzzy sphere solutions in the ABJM theory, we re-analyze the latter from the perspective of a Matrix-like model. In particular, we argue that a vortex solution exhibits properties of a supergraviton, while a kink represents a 2-brane. Other solutions are also consistent with the Matrix-type interpretation. We study vortex scattering and compare with graviton scattering in the massive ABJM background, however our results are inconclusive. We speculate on how to extend our results to construct a Matrix theory of ABJM.

[ { "created": "Fri, 12 Mar 2010 19:13:29 GMT", "version": "v1" }, { "created": "Tue, 18 May 2010 17:49:28 GMT", "version": "v2" } ]

2014-11-20

[ [ "Mohammed", "Asadig", "" ], [ "Murugan", "Jeff", "" ], [ "Nastase", "Horatiu", "" ] ]

Encouraged by the recent construction of fuzzy sphere solutions in the ABJM theory, we re-analyze the latter from the perspective of a Matrix-like model. In particular, we argue that a vortex solution exhibits properties of a supergraviton, while a kink represents a 2-brane. Other solutions are also consistent with the Matrix-type interpretation. We study vortex scattering and compare with graviton scattering in the massive ABJM background, however our results are inconclusive. We speculate on how to extend our results to construct a Matrix theory of ABJM.

15.299351

13.081287

14.340602

12.814147

13.268515

13.10759

11.952151

12.728864

12.501616

14.850048

12.141149

12.049849

12.921823

11.92048

11.927215

11.978288

12.556442

11.983626

12.444612

13.103187

12.368615

2302.03688

Thomas Van Riet

Gregory J. Loges, Gary Shiu, Thomas Van Riet

A 10d construction of Euclidean axion wormholes in flat and AdS space

33 pages, 9 figures

null

10.1007/JHEP06(2023)079

KEK-TH-2495

hep-th

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

Euclidean wormhole geometries sourced by axions and dilatons are puzzling objects in quantum gravity. From one side of the wormhole to the other, the scalar fields traverse a few Planck lengths in field space and so corrections from the UV might potentially affect the consistency of the solution, even when the wormholes are large. Motivated by this, we carry out the first explicit 10d lifts of regular Euclidean axion wormholes. We start off with the lift of Giddings-Strominger wormholes in $N=8$ Euclidean supergravity over a 6-torus to 10d type IIA supergravity and find the solution can be everywhere tuned into the parametrically controlled supergravity regime. Secondly, we construct explicit wormholes in AdS spaces and find them again to be under parametric control. We find the first wormhole solutions in massive type IIA on $S^3\times S^3$ and in type IIB on $T^{1,1}$. The latter has an explicit holographic dual, and similar to the earlier constructions in $AdS_5 \times S^5/Z_k$, the wormholes violate operator positivity since $Tr(F\pm{\star F})^2<0$. This puzzle might arise from subtleties related to computing holographic $n$-point functions in the presence of multiple boundaries.

[ { "created": "Tue, 7 Feb 2023 18:59:59 GMT", "version": "v1" } ]

2023-07-05

[ [ "Loges", "Gregory J.", "" ], [ "Shiu", "Gary", "" ], [ "Van Riet", "Thomas", "" ] ]

Euclidean wormhole geometries sourced by axions and dilatons are puzzling objects in quantum gravity. From one side of the wormhole to the other, the scalar fields traverse a few Planck lengths in field space and so corrections from the UV might potentially affect the consistency of the solution, even when the wormholes are large. Motivated by this, we carry out the first explicit 10d lifts of regular Euclidean axion wormholes. We start off with the lift of Giddings-Strominger wormholes in $N=8$ Euclidean supergravity over a 6-torus to 10d type IIA supergravity and find the solution can be everywhere tuned into the parametrically controlled supergravity regime. Secondly, we construct explicit wormholes in AdS spaces and find them again to be under parametric control. We find the first wormhole solutions in massive type IIA on $S^3\times S^3$ and in type IIB on $T^{1,1}$. The latter has an explicit holographic dual, and similar to the earlier constructions in $AdS_5 \times S^5/Z_k$, the wormholes violate operator positivity since $Tr(F\pm{\star F})^2<0$. This puzzle might arise from subtleties related to computing holographic $n$-point functions in the presence of multiple boundaries.

10.579549

10.439567

12.108272

9.887826

10.376071

10.6317

10.241882

9.473504

9.966418

13.096678

10.02804

9.920273

10.708796

10.19568

9.882906

10.087606

10.148252

10.11363

9.775496

10.836062

9.950081

2110.15356

Allic Sivaramakrishnan

Towards Color-Kinematics Duality in Generic Spacetimes

30 pages, no figures; v2: minor reference adjustments, typos corrected

null

10.1007/JHEP04(2022)036

null

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

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

In this note, we study color-kinematics duality in generic spacetimes. We work with a contact representation for on shell correlators. The position-space integrand is encoded by enumerated differential operators. This setup generalizes certain features of S-matrix kinematics to curved space. Differences between flat and curved space are captured by commutators. We study the nonlinear sigma model at four points as an explicit example and find that color-kinematics duality holds in generic spacetimes. We illustrate our approach in the AdS transition amplitude, a type of on shell correlation function. We find a double copy procedure at four points that connects the nonlinear sigma model, the biadjoint scalar theory, and the special Galileon theory.

[ { "created": "Thu, 28 Oct 2021 17:59:08 GMT", "version": "v1" }, { "created": "Tue, 30 Nov 2021 06:54:16 GMT", "version": "v2" } ]

2022-04-27

[ [ "Sivaramakrishnan", "Allic", "" ] ]

In this note, we study color-kinematics duality in generic spacetimes. We work with a contact representation for on shell correlators. The position-space integrand is encoded by enumerated differential operators. This setup generalizes certain features of S-matrix kinematics to curved space. Differences between flat and curved space are captured by commutators. We study the nonlinear sigma model at four points as an explicit example and find that color-kinematics duality holds in generic spacetimes. We illustrate our approach in the AdS transition amplitude, a type of on shell correlation function. We find a double copy procedure at four points that connects the nonlinear sigma model, the biadjoint scalar theory, and the special Galileon theory.

14.5485

13.648941

14.244307

11.697227

11.813836

12.198427

11.936687

12.467716

11.822388

17.771709

12.639004

11.774274

13.211137

11.914291

11.892691

12.239808

11.618219

12.086029

11.724321

12.853024

12.273088

hep-th/0509177

Mark C. Wyman

Benjamin Shlaer and Mark Wyman

Cosmic Superstring Gravitational Lensing Phenomena: Predictions for Networks of (p,q) Strings

11 Pages, 6 Figures

Phys.Rev. D72 (2005) 123504

10.1103/PhysRevD.72.123504

null

hep-th astro-ph gr-qc

null

The unique, conical spacetime created by cosmic strings brings about distinctive gravitational lensing phenomena. The variety of these distinctive phenomena is increased when the strings have non-trivial mutual interactions. In particular, when strings bind and create junctions, rather than intercommute, the resulting configurations can lead to novel gravitational lensing patterns. In this brief note, we use exact solutions to characterize these phenomena, the detection of which would be strong evidence for the existence of complex cosmic string networks of the kind predicted by string theory-motivated cosmic string models. We also correct some common errors in the lensing phenomenology of straight cosmic strings.

[ { "created": "Thu, 22 Sep 2005 17:27:32 GMT", "version": "v1" } ]

2013-05-29

[ [ "Shlaer", "Benjamin", "" ], [ "Wyman", "Mark", "" ] ]

The unique, conical spacetime created by cosmic strings brings about distinctive gravitational lensing phenomena. The variety of these distinctive phenomena is increased when the strings have non-trivial mutual interactions. In particular, when strings bind and create junctions, rather than intercommute, the resulting configurations can lead to novel gravitational lensing patterns. In this brief note, we use exact solutions to characterize these phenomena, the detection of which would be strong evidence for the existence of complex cosmic string networks of the kind predicted by string theory-motivated cosmic string models. We also correct some common errors in the lensing phenomenology of straight cosmic strings.

13.542267

14.191413

14.512585

13.441339

12.843154

14.530241

13.300771

13.11415

12.915837

14.454706

13.020698

14.342072

13.917811

13.021794

13.884096

13.948855

13.956453

13.872257

13.400996

13.695216

13.36888

hep-th/0208131

Christian Brouder

Quantum groups and interacting quantum fields

4 pages, proceedings of the 24th International Colloquium on Group Theoretical Methods in Physics

null

hep-th

null

If C is a cocommutative coalgebra, a bialgebra structure can be given to the symmetric algebra S(C). The symmetric product is twisted by a Laplace pairing and the twisted product of any number of elements of S(C) is calculated explicitly. This is used to recover important identities in the quantum field theory of interacting scalar bosons.

[ { "created": "Mon, 19 Aug 2002 11:24:45 GMT", "version": "v1" } ]

2007-05-23

[ [ "Brouder", "Christian", "" ] ]

If C is a cocommutative coalgebra, a bialgebra structure can be given to the symmetric algebra S(C). The symmetric product is twisted by a Laplace pairing and the twisted product of any number of elements of S(C) is calculated explicitly. This is used to recover important identities in the quantum field theory of interacting scalar bosons.

11.686138

12.569757

11.292045

12.138098

13.380251

12.560949

14.211724

13.740746

13.540526

12.837497

10.482762

12.969329

12.302807

13.165271

12.341962

12.665129

12.981791

11.84165

12.907773

13.274229

10.698452

hep-th/9210165

null

Gerald Gilbert and Eric Raiten

All Or Nothing: On the Small Fluctuations of Two-Dimensional String-Theoretic Black Holes

36 pages, (Note 1 completely replaced, Note 3 revised and extended. Also minor typo corrections.)

null

UMDEPP 93-061 ; FERMI-PUB-92/272-T

hep-th gr-qc

null

A comprehensive analysis of small fluctuations about two-dimensional string-theoretic and string-inspired black holes is presented. It is shown with specific examples that two-dimensional black holes behave in a radically different way from all known black holes in four dimensions. For both the $SL(2,R)/U(1)$ black hole and the two-dimensional black hole coupled to a massive dilaton with constant field strength, it is shown that there are a {\it continuous infinity} of solutions to the linearized equations of motion, which are such that it is impossible to ascertain the classical linear response. It is further shown that the two-dimensional black hole coupled to a massive, linear dilaton admits {\it no small fluctuations at all}. We discuss possible implications of our results for the Callan-Giddings-Harvey-Strominger black hole.

[ { "created": "Sat, 31 Oct 1992 05:24:00 GMT", "version": "v1" }, { "created": "Sun, 8 Nov 1992 05:18:00 GMT", "version": "v2" }, { "created": "Sun, 8 Nov 1992 05:28:00 GMT", "version": "v3" } ]

2008-02-03

[ [ "Gilbert", "Gerald", "" ], [ "Raiten", "Eric", "" ] ]

A comprehensive analysis of small fluctuations about two-dimensional string-theoretic and string-inspired black holes is presented. It is shown with specific examples that two-dimensional black holes behave in a radically different way from all known black holes in four dimensions. For both the $SL(2,R)/U(1)$ black hole and the two-dimensional black hole coupled to a massive dilaton with constant field strength, it is shown that there are a {\it continuous infinity} of solutions to the linearized equations of motion, which are such that it is impossible to ascertain the classical linear response. It is further shown that the two-dimensional black hole coupled to a massive, linear dilaton admits {\it no small fluctuations at all}. We discuss possible implications of our results for the Callan-Giddings-Harvey-Strominger black hole.

7.618227

6.780925

7.891283

6.583193

7.060525

6.497978

6.661122

6.779838

6.907551

7.35695

6.82442

6.801301

7.338595

6.907811

6.750225

6.565871

6.865075

6.622197

6.804663

6.892192

6.789729

2208.00016

Indranil Halder

Indranil Halder, Daniel Louis Jafferis, David Kolchmeyer

A duality in string theory on AdS$_3$

26 pages

null

10.1007/JHEP07(2023)049

null

hep-th

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

We consider bosonic string theory on $\text{AdS}_3$ supported by Kalb-Ramond flux. It is well known that the $\alpha'$ exact worldsheet theory is described by the $\text{SL(2,R)}$ WZW model. In this note we perform checks of an $\alpha'$ exact dual description proposed in [arXiv:2104.07233] involving a winding condensate on a free theory background. We give the explicit map of vertex operators for normalizable states on both sides of the duality and demonstrate the equivalence of their two and three point functions by direct computation. The duality is of strong-weak nature in $\alpha'$.

[ { "created": "Fri, 29 Jul 2022 18:00:06 GMT", "version": "v1" }, { "created": "Tue, 31 Jan 2023 18:44:44 GMT", "version": "v2" }, { "created": "Sun, 10 Dec 2023 17:01:23 GMT", "version": "v3" } ]

2023-12-12

[ [ "Halder", "Indranil", "" ], [ "Jafferis", "Daniel Louis", "" ], [ "Kolchmeyer", "David", "" ] ]

We consider bosonic string theory on $\text{AdS}_3$ supported by Kalb-Ramond flux. It is well known that the $\alpha'$ exact worldsheet theory is described by the $\text{SL(2,R)}$ WZW model. In this note we perform checks of an $\alpha'$ exact dual description proposed in [arXiv:2104.07233] involving a winding condensate on a free theory background. We give the explicit map of vertex operators for normalizable states on both sides of the duality and demonstrate the equivalence of their two and three point functions by direct computation. The duality is of strong-weak nature in $\alpha'$.

8.158412

7.238309

9.368185

7.227532

7.401458

7.32019

7.437635

7.065227

7.27152

9.767419

6.681102

7.520545

8.48245

7.780362

7.744556

7.934482

7.778514

7.718913

7.601567

8.624754

7.607895

hep-th/9702149

Claude Bervillier

C. Bagnuls and C. Bervillier

Field-Theoretic Techniques in the Study of Critical Phenomena

32 pages, LaTeX, 9 figures, to appear in Journal of Physical Studies

J.Phys.Stud.1:366,1997

null

Saclay T94/026

hep-th cond-mat

null

We shortly illustrate how the field-theoretic approach to critical phenomena takes place in the more complete Wilson theory of renormalization and qualitatively discuss its domain of validity. By the way, we suggest that the differential renormalization functions (like the beta-function) of the perturbative scalar theory in four dimensions should be Borel summable provided they are calculated within a minimal subtraction scheme.

[ { "created": "Thu, 20 Feb 1997 12:41:04 GMT", "version": "v1" } ]

2014-11-18

[ [ "Bagnuls", "C.", "" ], [ "Bervillier", "C.", "" ] ]

We shortly illustrate how the field-theoretic approach to critical phenomena takes place in the more complete Wilson theory of renormalization and qualitatively discuss its domain of validity. By the way, we suggest that the differential renormalization functions (like the beta-function) of the perturbative scalar theory in four dimensions should be Borel summable provided they are calculated within a minimal subtraction scheme.

17.045441

13.958323

15.898188

15.036754

15.681134

16.357607

16.556345

14.910476

15.990662

18.194017

15.937504

16.508955

15.768796

16.365349

15.904007

16.280945

16.482002

15.943113

15.891575

16.357241

15.706805

1404.3040

Fernando Marchesano

Fernando Marchesano, Gary Shiu, Angel M. Uranga

F-term Axion Monodromy Inflation

minors corrections, references added

JHEP 1409 (2014) 184

10.1007/JHEP09(2014)184

IFT-UAM/CSIC-14-032; MAD-TH-04-01

hep-th astro-ph.CO hep-ph

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

The continuous shift symmetry of axions is at the heart of several realizations of inflationary models. In particular, axion monodromy inflation aims at achieving super-Planckian field ranges for the inflaton in the context of string theory. Despite the elegant underlying principle, explicit models constructed hitherto are exceedingly complicated. We propose a new and better axion monodromy inflationary scenario, where the inflaton potential arises from an F-term. We present several scenarios, where the axion arises from the Kaluza-Klein compactification of higher dimensional gauge fields (or p-form potentials) in the presence of fluxes and/or torsion homology. The monodromy corresponds to a change in the background fluxes, and its F-term nature manifests in the existence of domain walls interpolating among flux configurations. Our scenario leads to diverse inflaton potentials, including linear large field behaviour, chaotic inflation, as well as potentials with even higher powers. They provide an elegant set of constructions with properties in the ballpark of the recent BICEP2 observational data on primordial gravitational waves.

[ { "created": "Fri, 11 Apr 2014 09:01:29 GMT", "version": "v1" }, { "created": "Thu, 24 Apr 2014 09:17:44 GMT", "version": "v2" }, { "created": "Thu, 9 Oct 2014 06:35:56 GMT", "version": "v3" } ]

2014-11-05

[ [ "Marchesano", "Fernando", "" ], [ "Shiu", "Gary", "" ], [ "Uranga", "Angel M.", "" ] ]

The continuous shift symmetry of axions is at the heart of several realizations of inflationary models. In particular, axion monodromy inflation aims at achieving super-Planckian field ranges for the inflaton in the context of string theory. Despite the elegant underlying principle, explicit models constructed hitherto are exceedingly complicated. We propose a new and better axion monodromy inflationary scenario, where the inflaton potential arises from an F-term. We present several scenarios, where the axion arises from the Kaluza-Klein compactification of higher dimensional gauge fields (or p-form potentials) in the presence of fluxes and/or torsion homology. The monodromy corresponds to a change in the background fluxes, and its F-term nature manifests in the existence of domain walls interpolating among flux configurations. Our scenario leads to diverse inflaton potentials, including linear large field behaviour, chaotic inflation, as well as potentials with even higher powers. They provide an elegant set of constructions with properties in the ballpark of the recent BICEP2 observational data on primordial gravitational waves.

10.972673

10.504558

11.256928

10.318379

11.283358

10.777915

11.586552

10.951555

10.20432

11.113472

10.845172

10.29728

10.531722

10.468591

10.494374

10.38435

10.328116

10.198898

10.348286

10.774765

10.765536

hep-th/0212147

Amit Loewy

Amit Loewy, Yaron Oz

Large Spin Strings in AdS_3

14 pages, 2 figures, LaTex, added references, to appear in PLB

Phys.Lett.B557:253-262,2003

10.1016/S0370-2693(03)00196-5

UTTG-15-02, CERN-TH/2002-367

hep-th

null

We consider strings with large spin in AdS_3xS^3xM with NS-NS background. We construct the string configurations as solutions of SL(2,R) WZW theory. We compute the relation between the space-time energy and spin, and show that the anomalous correction is constant, and not logarithmic in the spin. This is in contrast to the S-dual background with R-R charge where the anomalous correction is logarithmic.

[ { "created": "Thu, 12 Dec 2002 21:16:53 GMT", "version": "v1" }, { "created": "Sun, 15 Dec 2002 13:48:30 GMT", "version": "v2" }, { "created": "Fri, 7 Mar 2003 16:52:12 GMT", "version": "v3" } ]

2009-09-29

[ [ "Loewy", "Amit", "" ], [ "Oz", "Yaron", "" ] ]

We consider strings with large spin in AdS_3xS^3xM with NS-NS background. We construct the string configurations as solutions of SL(2,R) WZW theory. We compute the relation between the space-time energy and spin, and show that the anomalous correction is constant, and not logarithmic in the spin. This is in contrast to the S-dual background with R-R charge where the anomalous correction is logarithmic.

8.247714

6.917881

10.367402

7.357178

6.925506

7.307168

7.76503

6.924214

7.906586

10.510084

7.184367

7.990723

8.457476

7.70142

7.687858

7.790328

7.480826

7.577925

7.777849

8.602162

7.755295

0909.4299

Daniel Persson

Ling Bao, Axel Kleinschmidt, Bengt E. W. Nilsson, Daniel Persson, Boris Pioline

Instanton Corrections to the Universal Hypermultiplet and Automorphic Forms on SU(2,1)

61 pages, (v2) typos corrected, references added, clarification regarding the fact that our analysis applies to rigid Calabi-Yau 3-folds that admit complex multiplication by the Gaussian integers Z[i], (v3) references added, one-loop discrepancy revised (but still discrepant), other cosmetic changes, (v4) final version, published in CNTP

Commun. Num. Theor. Phys. 4:187-266,2010

null

ULB-TH/09-32

hep-th math.NT

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

The hypermultiplet moduli space in Type IIA string theory compactified on a rigid Calabi-Yau threefold X, corresponding to the "universal hypermultiplet", is described at tree-level by the symmetric space SU(2,1)/(SU(2) x U(1)). To determine the quantum corrections to this metric, we posit that a discrete subgroup of the continuous tree-level isometry group SU(2,1), namely the Picard modular group SU(2,1;Z[i]), must remain unbroken in the exact metric -- including all perturbative and non perturbative quantum corrections. This assumption is expected to be valid when X admits complex multiplication by Z[i]. Based on this hypothesis, we construct an SU(2,1;Z[i])-invariant, non-holomorphic Eisenstein series, and tentatively propose that this Eisenstein series provides the exact contact potential on the twistor space over the universal hypermultiplet moduli space. We analyze its non-Abelian Fourier expansion, and show that the Abelian and non-Abelian Fourier coefficients take the required form for instanton corrections due to Euclidean D2-branes wrapping special Lagrangian submanifolds, and to Euclidean NS5-branes wrapping the entire Calabi-Yau threefold, respectively. While this tentative proposal fails to reproduce the correct one-loop correction, the consistency of the Fourier expansion with physics expectations provides strong support for the utility of the Picard modular group in constraining the quantum moduli space.

[ { "created": "Thu, 24 Sep 2009 15:38:43 GMT", "version": "v1" }, { "created": "Thu, 5 Nov 2009 21:00:24 GMT", "version": "v2" }, { "created": "Tue, 15 Dec 2009 13:27:13 GMT", "version": "v3" }, { "created": "Wed, 9 Jun 2010 10:11:03 GMT", "version": "v4" } ]

2014-11-20

[ [ "Bao", "Ling", "" ], [ "Kleinschmidt", "Axel", "" ], [ "Nilsson", "Bengt E. W.", "" ], [ "Persson", "Daniel", "" ], [ "Pioline", "Boris", "" ] ]

The hypermultiplet moduli space in Type IIA string theory compactified on a rigid Calabi-Yau threefold X, corresponding to the "universal hypermultiplet", is described at tree-level by the symmetric space SU(2,1)/(SU(2) x U(1)). To determine the quantum corrections to this metric, we posit that a discrete subgroup of the continuous tree-level isometry group SU(2,1), namely the Picard modular group SU(2,1;Z[i]), must remain unbroken in the exact metric -- including all perturbative and non perturbative quantum corrections. This assumption is expected to be valid when X admits complex multiplication by Z[i]. Based on this hypothesis, we construct an SU(2,1;Z[i])-invariant, non-holomorphic Eisenstein series, and tentatively propose that this Eisenstein series provides the exact contact potential on the twistor space over the universal hypermultiplet moduli space. We analyze its non-Abelian Fourier expansion, and show that the Abelian and non-Abelian Fourier coefficients take the required form for instanton corrections due to Euclidean D2-branes wrapping special Lagrangian submanifolds, and to Euclidean NS5-branes wrapping the entire Calabi-Yau threefold, respectively. While this tentative proposal fails to reproduce the correct one-loop correction, the consistency of the Fourier expansion with physics expectations provides strong support for the utility of the Picard modular group in constraining the quantum moduli space.

5.164338

5.657866

6.658605

5.299561

5.669888

5.760911

5.621644

5.678809

5.42149

7.553463

5.24885

5.312697

5.510662

5.244897

5.120708

5.381882

5.355777

5.34818

5.18229

5.460625

5.204945

hep-th/9911076

Forough Naseri

S. Khakshournia and R. Mansouri

Junction equations for two spherically symmetric spacetimes and the distributional method

14 pages, no figure, Latex file

null

IPM/P-99/080

hep-th astro-ph gr-qc

null

Applying the distributional formalism to study the dynamics of thin shells in general relativity, we regain the junction equations for matching of two spherically symmetric spacetimes separated by a singular hypersurface. In particular, we have shown how to define and insert the relevant sign functions in the junction equations corresponding to the signs of the extrinsic curvature tensor occurred in the Darmois-Israel method.

[ { "created": "Thu, 11 Nov 1999 08:16:17 GMT", "version": "v1" } ]

2007-05-23

[ [ "Khakshournia", "S.", "" ], [ "Mansouri", "R.", "" ] ]

Applying the distributional formalism to study the dynamics of thin shells in general relativity, we regain the junction equations for matching of two spherically symmetric spacetimes separated by a singular hypersurface. In particular, we have shown how to define and insert the relevant sign functions in the junction equations corresponding to the signs of the extrinsic curvature tensor occurred in the Darmois-Israel method.

16.318043

17.213453

12.549574

13.045734

14.463321

16.062956

16.711168

13.039993

16.135185

14.985381

17.217289

13.786333

13.083436

13.577558

14.179152

13.64656

13.68721

12.955478

13.814247

12.959402

15.382226

2208.06420

Olaf Lechtenfeld

Supersymmetric large-order perturbation with the Nicolai map

1+7 pages, v2: minor corrections, matches published version

null

10.1016/j.physletb.2022.137507

null

hep-th math-ph math.MP

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

In rigidly supersymmetric quantum theories, the Nicolai map allows one to turn on a coupling constant (from zero to a finite value) by keeping the (free) functional integration measure but subjecting the fields to a particular nonlocal and nonlinear transformation. A recursive perturbative construction of the Nicolai-transformed field configuration expresses it as a power series in the coupling, with its coefficient function at order $n$ being a sum of particular tree diagrams. For a quantum-mechanical example, the size of these tree diagrams (under a certain functional norm) is estimated by the $(n{+}1)$st power of the field size, and their number grows like $n^{-3/2}\times4.967^{\;n}$. Such an asymptotic behavior translates to a finite convergence radius for the formal perturbative expansion of the Nicolai map, which establishes its non-perturbative existence. The known factorial growth of the number of Feynman diagrams for quantum correlators is reproduced by the combinatorics of free-field Wick contractions as usual. We expect our results to extend to higher dimensions, including super Yang-Mills theory.

[ { "created": "Fri, 12 Aug 2022 18:00:01 GMT", "version": "v1" }, { "created": "Mon, 17 Oct 2022 18:20:53 GMT", "version": "v2" } ]

2022-10-19

[ [ "Lechtenfeld", "Olaf", "" ] ]

In rigidly supersymmetric quantum theories, the Nicolai map allows one to turn on a coupling constant (from zero to a finite value) by keeping the (free) functional integration measure but subjecting the fields to a particular nonlocal and nonlinear transformation. A recursive perturbative construction of the Nicolai-transformed field configuration expresses it as a power series in the coupling, with its coefficient function at order $n$ being a sum of particular tree diagrams. For a quantum-mechanical example, the size of these tree diagrams (under a certain functional norm) is estimated by the $(n{+}1)$st power of the field size, and their number grows like $n^{-3/2}\times4.967^{\;n}$. Such an asymptotic behavior translates to a finite convergence radius for the formal perturbative expansion of the Nicolai map, which establishes its non-perturbative existence. The known factorial growth of the number of Feynman diagrams for quantum correlators is reproduced by the combinatorics of free-field Wick contractions as usual. We expect our results to extend to higher dimensions, including super Yang-Mills theory.

10.990144

11.067492

13.194038

10.803271

11.500719

11.904716

10.883089

11.193975

10.626662

13.529381

10.700843

10.411198

11.149199

10.765498

10.759113

10.668109

10.744272

10.717319

10.250093

11.495422

10.586139

hep-th/9409082

Chi-Sing Lam

C.S. Lam

String Rearrangement of Gauge Theories

(Invited talk given at ICHEP, Glasgow, July 1994) 4 pages in LATEX (ichep style file appended to latex file), plus five postscript figures, also appended

null

hep-th hep-ph

null

Feynman diagram expressions in ordinary field theories can be written in a string-like manner. The methods and the advantages for doing so are briefly discussed.

[ { "created": "Wed, 14 Sep 1994 19:49:39 GMT", "version": "v1" } ]

2009-09-25

[ [ "Lam", "C. S.", "" ] ]

Feynman diagram expressions in ordinary field theories can be written in a string-like manner. The methods and the advantages for doing so are briefly discussed.

30.387655

18.65148

23.322027

20.438669

21.489805

18.839375

19.348614

21.146961

19.155588

22.313921

23.181929

19.402061

20.459219

18.015011

18.240303

18.574903

17.205114

18.016403

17.031401

20.635771

18.307846

1704.06282

Benjamin Lillard

Product Group S-Confinement in SUSY Gauge Theories

28 pages, 8 tables, one appendix

null

10.1007/JHEP10(2017)060

UCI-TR-2017-01

hep-th

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

We propose a new set of s-confining theories with product gauge groups and no tree-level superpotential, based on a model with one antisymmetric matter field and four flavors of quarks. For each product group we find a set of gauge-invariant operators which satisfy the 't Hooft anomaly matching conditions, and we identify the dynamically generated superpotential which reproduces the classical constraints between operators. Several of these product gauge theories confine without breaking chiral symmetry, even in cases where the classical moduli space is quantum-modified. These results may be useful for composite model building, particularly in cases where small meson operators are absent, or for theories with multiple natural energy scales, and may provide new ways to break supersymmetry dynamically.

[ { "created": "Thu, 20 Apr 2017 18:05:45 GMT", "version": "v1" } ]

2017-11-22

[ [ "Lillard", "Benjamin", "" ] ]

We propose a new set of s-confining theories with product gauge groups and no tree-level superpotential, based on a model with one antisymmetric matter field and four flavors of quarks. For each product group we find a set of gauge-invariant operators which satisfy the 't Hooft anomaly matching conditions, and we identify the dynamically generated superpotential which reproduces the classical constraints between operators. Several of these product gauge theories confine without breaking chiral symmetry, even in cases where the classical moduli space is quantum-modified. These results may be useful for composite model building, particularly in cases where small meson operators are absent, or for theories with multiple natural energy scales, and may provide new ways to break supersymmetry dynamically.

12.867098

11.212181

13.572153

10.464216

9.660198

11.335925

11.341302

10.977393

10.47447

13.849399

10.386826

11.28491

12.829922

11.339114

11.44428

11.529667

11.308124

11.359676

11.311063

12.741309

11.195665

1005.3533

Bertha Cuadros-Melgar

B. Cuadros-Melgar, E. Papantonopoulos, M. Tsoukalas, V. Zamarias

BTZ Solutions on Codimension-2 Braneworlds

6 pages. Talk given at Recent Developments in Gravity (NEB XIII), Thessaloniki, Greece, June 4-6, 2008.

J.Phys.Conf.Ser.189:012009,2009

10.1088/1742-6596/189/1/012009

null

hep-th gr-qc

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

We consider five-dimensional gravity with a Gauss-Bonnet term in the bulk and an induced gravity term on a 2-brane of codimension-2. We show that this system admits BTZ-like black holes on the 2-brane which are extended into the bulk with regular horizons.

[ { "created": "Wed, 19 May 2010 19:29:26 GMT", "version": "v1" } ]

2010-11-02

[ [ "Cuadros-Melgar", "B.", "" ], [ "Papantonopoulos", "E.", "" ], [ "Tsoukalas", "M.", "" ], [ "Zamarias", "V.", "" ] ]

We consider five-dimensional gravity with a Gauss-Bonnet term in the bulk and an induced gravity term on a 2-brane of codimension-2. We show that this system admits BTZ-like black holes on the 2-brane which are extended into the bulk with regular horizons.

7.526347

4.017016

5.24665

4.271977

4.020186

4.264343

4.119701

4.369654

4.761413

6.524132

4.647604

5.268795

5.826332

5.343008

5.689672

5.3745

5.558149

5.320103

5.53795

6.284745

5.550629

1207.6858

Kiyoshi Shiraishi

Nahomi Kan (Yamaguchi Junior College), Koichiro Kobayashi and Kiyoshi Shiraishi (Yamaguchi University)

Hosotani mechanism in higher dimensional Lee-Wick theory

12 pages, 5 figures. revtex format. revised version, references added

Acta Physica Polonica B, Vol. 44, No. 4, pp. 721-732 (2013)

10.5506/APhysPolB.44.721

null

hep-th

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

Hosotani mechanism in higher-dimensional Lee-Wick theory is investigated. The symmetry breaking mechanism proposed by Hosotani is studied at one-loop level through a toy model in this theory. We find that the phase diagram of symmetry and masses of fields are modified from the original one if masses of Lee-Wick particles are in the same order of the inverse of the compactification scale.

[ { "created": "Mon, 30 Jul 2012 08:02:05 GMT", "version": "v1" }, { "created": "Thu, 9 Aug 2012 07:44:15 GMT", "version": "v2" } ]

2013-04-26

[ [ "Kan", "Nahomi", "", "Yamaguchi Junior College" ], [ "Kobayashi", "Koichiro", "", "Yamaguchi University" ], [ "Shiraishi", "Kiyoshi", "", "Yamaguchi University" ] ]

Hosotani mechanism in higher-dimensional Lee-Wick theory is investigated. The symmetry breaking mechanism proposed by Hosotani is studied at one-loop level through a toy model in this theory. We find that the phase diagram of symmetry and masses of fields are modified from the original one if masses of Lee-Wick particles are in the same order of the inverse of the compactification scale.

15.224314

10.40906

10.963785

9.856191

9.566267

9.924491

9.65423

10.184479

10.396277

10.013618

9.464138

9.441611

9.957362

9.944036

9.660732

9.51276

9.951977

9.559675

9.770228

10.166482

10.320013

0904.0277

Aleksey Cherman

Paulo F. Bedaque, Michael I. Buchoff, Aleksey Cherman, Roxanne P. Springer

Can fermions save large N dimensional reduction?

24 pages, 3 figures. Added a postscript to discuss issues raised in arXiv:0905.2406

JHEP 0910:070,2009

10.1088/1126-6708/2009/10/070

null

hep-th hep-lat hep-ph

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

This paper explores whether Eguchi-Kawai reduction for gauge theories with adjoint fermions is valid. The Eguchi-Kawai reduction relates gauge theories in different numbers of dimensions in the large $N$ limit provided that certain conditions are met. In principle, this relation opens up the possibility of learning about the dynamics of 4D gauge theories through techniques only available in lower dimensions. Dimensional reduction can be understood as a special case of large $N$ equivalence between theories related by an orbifold projection. In this work, we focus on the simplest case of dimensional reduction, relating a 4D gauge theory to a 3D gauge theory via an orbifold projection. A necessary condition for the large N equivalence between the 4D and 3D theories to hold is that certain discrete symmetries in the two theories must not be broken spontaneously. In pure 4D Yang-Mills theory, these symmetries break spontaneously as the size of one of the spacetime dimensions shrinks. An analysis of the effect of adjoint fermions on the relevant symmetries of the 4D theory shows that the fermions help stabilize the symmetries. We consider the same problem from the point of view of the lower dimensional 3D theory and find that, surprisingly, adjoint fermions are not generally enough to stabilize the necessary symmetries of the 3D theory. In fact, a rich phase diagram arises, with a complicated pattern of symmetry breaking. We discuss the possible causes and consequences of this finding.

[ { "created": "Thu, 2 Apr 2009 19:07:40 GMT", "version": "v1" }, { "created": "Wed, 8 Apr 2009 22:58:39 GMT", "version": "v2" }, { "created": "Fri, 21 Aug 2009 01:13:44 GMT", "version": "v3" } ]

2010-12-17

[ [ "Bedaque", "Paulo F.", "" ], [ "Buchoff", "Michael I.", "" ], [ "Cherman", "Aleksey", "" ], [ "Springer", "Roxanne P.", "" ] ]

This paper explores whether Eguchi-Kawai reduction for gauge theories with adjoint fermions is valid. The Eguchi-Kawai reduction relates gauge theories in different numbers of dimensions in the large $N$ limit provided that certain conditions are met. In principle, this relation opens up the possibility of learning about the dynamics of 4D gauge theories through techniques only available in lower dimensions. Dimensional reduction can be understood as a special case of large $N$ equivalence between theories related by an orbifold projection. In this work, we focus on the simplest case of dimensional reduction, relating a 4D gauge theory to a 3D gauge theory via an orbifold projection. A necessary condition for the large N equivalence between the 4D and 3D theories to hold is that certain discrete symmetries in the two theories must not be broken spontaneously. In pure 4D Yang-Mills theory, these symmetries break spontaneously as the size of one of the spacetime dimensions shrinks. An analysis of the effect of adjoint fermions on the relevant symmetries of the 4D theory shows that the fermions help stabilize the symmetries. We consider the same problem from the point of view of the lower dimensional 3D theory and find that, surprisingly, adjoint fermions are not generally enough to stabilize the necessary symmetries of the 3D theory. In fact, a rich phase diagram arises, with a complicated pattern of symmetry breaking. We discuss the possible causes and consequences of this finding.

5.521425

5.677259

5.937901

5.346829

5.507529

5.703411

5.790602

5.807048

5.631668

5.974835

5.416812

5.455033

5.545659

5.480122

5.577867

5.549729

5.586219

5.468026

5.412771

5.59887

5.558512

hep-th/0212256

Hermann Nicolai

T. Damour (I.H.E.S., Bures-sur-Yvette), M. Henneaux (U.L.B., Bruxelles), H. Nicolai (AEI, Golm)

Cosmological Billiards

88 pages

Class.Quant.Grav.20:R145-R200,2003

null

IHES/P/02/08, AEI-2002-092, ULB-TH/02-33

hep-th astro-ph gr-qc

null

It is shown in detail that the dynamics of the Einstein-dilaton-p-form system in the vicinity of a spacelike singularity can be asymptotically described, at a generic spatial point, as a billiard motion in a region of Lobachevskii space (realized as an hyperboloid in the space of logarithmic scale factors). This is done within the Hamiltonian formalism, and for an arbitrary number of spacetime dimensions $D \geq 4$. A key role in the derivation is played by the Iwasawa decomposition of the spatial metric, and by the fact that the off-diagonal degrees of freedom, as well as the p-form degrees of freedom, get ``asymptotically frozen'' in this description. For those models admitting a Kac-Moody theoretic interpretation of the billiard dynamics we outline how to set up an asymptotically equivalent description in terms of a one-dimensional non-linear sigma-model formally invariant under the corresponding Kac-Moody group.

[ { "created": "Fri, 20 Dec 2002 12:49:57 GMT", "version": "v1" } ]

2014-11-18

[ [ "Damour", "T.", "", "I.H.E.S., Bures-sur-Yvette" ], [ "Henneaux", "M.", "", "U.L.B.,\n Bruxelles" ], [ "Nicolai", "H.", "", "AEI, Golm" ] ]

It is shown in detail that the dynamics of the Einstein-dilaton-p-form system in the vicinity of a spacelike singularity can be asymptotically described, at a generic spatial point, as a billiard motion in a region of Lobachevskii space (realized as an hyperboloid in the space of logarithmic scale factors). This is done within the Hamiltonian formalism, and for an arbitrary number of spacetime dimensions $D \geq 4$. A key role in the derivation is played by the Iwasawa decomposition of the spatial metric, and by the fact that the off-diagonal degrees of freedom, as well as the p-form degrees of freedom, get ``asymptotically frozen'' in this description. For those models admitting a Kac-Moody theoretic interpretation of the billiard dynamics we outline how to set up an asymptotically equivalent description in terms of a one-dimensional non-linear sigma-model formally invariant under the corresponding Kac-Moody group.

7.508533

7.569926

7.388048

6.798151

7.283024

6.953877

7.272999

6.704839

7.42601

7.952779

6.86807

7.004375

7.384206

6.957329

7.021858

7.110659

7.006203

6.894054

7.08527

7.088703

6.960634

1206.5176

Roel Andringa

Roel Andringa, Eric Bergshoeff, Joaquim Gomis and Mees de Roo

`Stringy' Newton-Cartan Gravity

44 pages

null

10.1088/0264-9381/29/23/235020

null

hep-th gr-qc

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

We construct a "stringy" version of Newton-Cartan gravity in which the concept of a Galilean observer plays a central role. We present both the geodesic equations of motion for a fundamental string and the bulk equations of motion in terms of a gravitational potential which is a symmetric tensor with respect to the longitudinal directions of the string. The extension to include a non-zero cosmological constant is given. We stress the symmetries and (partial) gaugings underlying our construction. Our results provide a convenient starting point to investigate applications of the AdS/CFT correspondence based on the non-relativistic "stringy" Galilei algebra.

[ { "created": "Fri, 22 Jun 2012 15:21:44 GMT", "version": "v1" } ]

2015-06-05

[ [ "Andringa", "Roel", "" ], [ "Bergshoeff", "Eric", "" ], [ "Gomis", "Joaquim", "" ], [ "de Roo", "Mees", "" ] ]

We construct a "stringy" version of Newton-Cartan gravity in which the concept of a Galilean observer plays a central role. We present both the geodesic equations of motion for a fundamental string and the bulk equations of motion in terms of a gravitational potential which is a symmetric tensor with respect to the longitudinal directions of the string. The extension to include a non-zero cosmological constant is given. We stress the symmetries and (partial) gaugings underlying our construction. Our results provide a convenient starting point to investigate applications of the AdS/CFT correspondence based on the non-relativistic "stringy" Galilei algebra.

9.094672

8.729011

9.021418

8.253176

9.07216

8.694566

8.864257

8.414601

8.27174

9.40379

8.764096

8.453857

8.779443

8.527226

8.67289

8.621415

8.611745

8.526138

8.501974

9.092407

8.560725

hep-th/9710242

Vatche Sahakian

On the Bound States of Matrix Strings

9 pages, Latex2e, 1 figure, uses epsf

null

EFI-97-50

hep-th

null

We investigate excitations in Matrix Theory on T^2 corresponding to bound states of strings. We demonstrate the Dirichlet aspect of R-R charged vacua through a non-trivial connection between the U(1) and SU(n) sectors of the matrix SYM.

[ { "created": "Thu, 30 Oct 1997 22:18:32 GMT", "version": "v1" } ]

2007-05-23

[ [ "Sahakian", "Vatche", "" ] ]

We investigate excitations in Matrix Theory on T^2 corresponding to bound states of strings. We demonstrate the Dirichlet aspect of R-R charged vacua through a non-trivial connection between the U(1) and SU(n) sectors of the matrix SYM.

30.513357

23.356945

26.304077

22.444971

24.989012

22.002199

24.894743

22.397972

22.730818

31.101048

23.666765

22.337725

26.752535

23.5226

23.376936

21.867504

23.213802

23.611382

23.199903

28.362551

22.784882

2204.08007

Sergey Larin

S.A. Larin

Renormalizable and unitary Lorentz invariant model of quantum gravity

12 pages

Universe 2021, 7, 435

10.3390/universe7110435

null

hep-th hep-ph

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

We analyze the R + R2 model of quantum gravity where terms quadratic in the curvature tensor are added to the General Relativity action. This model was recently proved to be a self-consistent quantum theory of gravitation, being both renormalizable and unitary. The model can be made practically indistinguishable from General Relativity at astrophysical and cosmological scales by the proper choice of parameters.

[ { "created": "Thu, 24 Mar 2022 08:10:39 GMT", "version": "v1" } ]

2022-04-19

[ [ "Larin", "S. A.", "" ] ]

We analyze the R + R2 model of quantum gravity where terms quadratic in the curvature tensor are added to the General Relativity action. This model was recently proved to be a self-consistent quantum theory of gravitation, being both renormalizable and unitary. The model can be made practically indistinguishable from General Relativity at astrophysical and cosmological scales by the proper choice of parameters.

6.466264

6.203374

6.444155

6.231772

6.057299

6.89465

6.388677

6.498108

6.455487

6.003591

6.122383

7.118196

5.954137

6.002361

6.259795

6.415946

6.878756

6.29329

6.48673

5.87122

6.631549

1002.2549

Taeyoon Moon

Taeyoon Moon, Phillial Oh, and Jongsu Sohn

Anisotropic Weyl symmetry and cosmology

15 pages, version to appear in JCAP

JCAP 1011:005,2010

10.1088/1475-7516/2010/11/005

null

hep-th astro-ph.CO gr-qc

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

We construct an anisotropic Weyl invariant theory in the ADM formalism and discuss its cosmological consequences. It extends the original anisotropic Weyl invariance of Ho\v{r}ava-Lifshitz gravity using an extra scalar field. The action is invariant under the anisotropic transformations of the space and time metric components with an arbitrary value of the critical exponent $z$. One of the interesting features is that the cosmological constant term maintains the anisotropic symmetry for $z=-3$. We also include the ordinary matter and show that it can preserve the anisotropic Weylinvariance if the equation of state satisfies $P_m= z\rho_m/3$. Then, we study cosmology of the Einstein-Hilbert-anisotropic Weyl (EHaW) action including the ordinary matter both with or without anisotropic Weyl invariance. The correlation of the critical exponent $z$ and the equation of state parameter $\omega_m$ provides a new perspective of the cosmology. It is also shown that for particular value of $z=-3$, the EHaW action admits a late time accelerating universe.

[ { "created": "Fri, 12 Feb 2010 13:44:18 GMT", "version": "v1" }, { "created": "Fri, 26 Feb 2010 05:47:19 GMT", "version": "v2" }, { "created": "Tue, 9 Nov 2010 04:28:07 GMT", "version": "v3" } ]

2010-12-01

[ [ "Moon", "Taeyoon", "" ], [ "Oh", "Phillial", "" ], [ "Sohn", "Jongsu", "" ] ]

We construct an anisotropic Weyl invariant theory in the ADM formalism and discuss its cosmological consequences. It extends the original anisotropic Weyl invariance of Ho\v{r}ava-Lifshitz gravity using an extra scalar field. The action is invariant under the anisotropic transformations of the space and time metric components with an arbitrary value of the critical exponent $z$. One of the interesting features is that the cosmological constant term maintains the anisotropic symmetry for $z=-3$. We also include the ordinary matter and show that it can preserve the anisotropic Weylinvariance if the equation of state satisfies $P_m= z\rho_m/3$. Then, we study cosmology of the Einstein-Hilbert-anisotropic Weyl (EHaW) action including the ordinary matter both with or without anisotropic Weyl invariance. The correlation of the critical exponent $z$ and the equation of state parameter $\omega_m$ provides a new perspective of the cosmology. It is also shown that for particular value of $z=-3$, the EHaW action admits a late time accelerating universe.

6.337141

6.581772

6.714812

5.783738

6.519757

6.301188

6.416129

6.155085

6.257926

6.451419

6.065357

6.255033

6.352003

6.090508

6.09747

6.230833

6.171141

6.204693

6.146258

6.197154

6.191242

1207.6958

Muneto Nitta

Josephson vortices and the Atiyah-Manton construction

15 pages, 1 figure, v2: published version

Phys.Rev.D86:125004,2012

10.1103/PhysRevD.86.125004

null

hep-th cond-mat.other hep-ph

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

We show that sine-Gordon solitons appear in the low-energy effective theory of a domain wall in a U(1) gauge theory with two charged complex scalar fields with masses, if we introduce the Josephson interaction term between the scalar fields. We identify these sine-Gordon solitons as vortices or CP(1) sigma model instantons in the bulk, which are absorbed into the domain wall world-volume. These vortices can be called as Josephson vortices since they appear in Josephson junctions of two superconductors. This set up gives a physical realization of a lower dimensional analogue of Atiyah-Manton construction of Skyrmions from instanton holonomy.

[ { "created": "Mon, 30 Jul 2012 15:07:58 GMT", "version": "v1" }, { "created": "Mon, 3 Dec 2012 22:16:13 GMT", "version": "v2" } ]

2012-12-05

[ [ "Nitta", "Muneto", "" ] ]

We show that sine-Gordon solitons appear in the low-energy effective theory of a domain wall in a U(1) gauge theory with two charged complex scalar fields with masses, if we introduce the Josephson interaction term between the scalar fields. We identify these sine-Gordon solitons as vortices or CP(1) sigma model instantons in the bulk, which are absorbed into the domain wall world-volume. These vortices can be called as Josephson vortices since they appear in Josephson junctions of two superconductors. This set up gives a physical realization of a lower dimensional analogue of Atiyah-Manton construction of Skyrmions from instanton holonomy.

8.078199

8.030218

8.737422

7.841066

8.25931

8.57947

7.894729

8.4761

8.039924

9.270726

8.194234

8.221417

8.201108

8.01816

7.751206

7.700548

7.887868

7.871284

7.834263

8.542027

7.874281

1810.02349

Paulo Carvalho

P. R. S. Carvalho

Critical exponents and amplitude ratios of scalar nonextensive $q$-field theories

17 pages, 14 figures

Phys. Rev. D 98, 085019 (2018)

10.1103/PhysRevD.98.085019

null

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

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

We compute the radiative quantum corrections to the critical exponents and amplitude ratios for O($N$) $\lambda\phi^{4}$ scalar high energy nonextensive $q$-field theories. We employ the field theoretic renormalization group approach through six methods for evaluating the high energy nonextensive critical exponents up to next-to-leading order while the high energy nonextensive amplitude ratios are computed up to leading level by applying three methods. Later we generalize these high energy nonextensive finite loop order results for any loop level. We find that the high energy nonextensive critical exponents are the same when obtained through all the methods employed. The same fact occurs for the high energy nonextensive amplitude ratios. Furthermore, we show that these high energy nonextensive universal quantities are equal to their low energy extensive counterparts, thus showing that the nonextensivity is broken down at high energies.

[ { "created": "Thu, 4 Oct 2018 17:52:00 GMT", "version": "v1" } ]

2019-10-03

[ [ "Carvalho", "P. R. S.", "" ] ]

We compute the radiative quantum corrections to the critical exponents and amplitude ratios for O($N$) $\lambda\phi^{4}$ scalar high energy nonextensive $q$-field theories. We employ the field theoretic renormalization group approach through six methods for evaluating the high energy nonextensive critical exponents up to next-to-leading order while the high energy nonextensive amplitude ratios are computed up to leading level by applying three methods. Later we generalize these high energy nonextensive finite loop order results for any loop level. We find that the high energy nonextensive critical exponents are the same when obtained through all the methods employed. The same fact occurs for the high energy nonextensive amplitude ratios. Furthermore, we show that these high energy nonextensive universal quantities are equal to their low energy extensive counterparts, thus showing that the nonextensivity is broken down at high energies.

8.473241

7.700162

8.389255

7.453816

7.881143

7.260985

7.566657

7.496654

7.645474

8.963435

7.265736

7.707114

8.081542

7.846153

7.566732

7.508794

7.574143

7.78074

7.694541

8.23811

7.717568

1912.11091

Patricio Gaete

Patricio Gaete and Jos\'e A. Helay\"el-Neto

Remarks on a compact Abelian Higgs model

5 pages

null

10.1209/0295-5075/129/21002

null

hep-th

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

Aspects of screening and confinement are re-examined for a recently proposed compact Abelian Higgs model with a $\theta$-term. Our discussion is accomplished using the gauge-invariant but path-dependent variables formalism, which is an alternative to the Wilson loop approach. We explicitly show that the static potential profile is the sum of an effective-Yukawa and a linear potential, leading to the confinement of static external charges. We point out the central r\^ole of the parameter measuring the stiffness of the vortex lines present in the model in both the Yukawa-like and the confining sectors of the effective inter-particle potential we have computed.

[ { "created": "Mon, 23 Dec 2019 20:08:19 GMT", "version": "v1" } ]

2020-04-22

[ [ "Gaete", "Patricio", "" ], [ "Helayël-Neto", "José A.", "" ] ]

Aspects of screening and confinement are re-examined for a recently proposed compact Abelian Higgs model with a $\theta$-term. Our discussion is accomplished using the gauge-invariant but path-dependent variables formalism, which is an alternative to the Wilson loop approach. We explicitly show that the static potential profile is the sum of an effective-Yukawa and a linear potential, leading to the confinement of static external charges. We point out the central r\^ole of the parameter measuring the stiffness of the vortex lines present in the model in both the Yukawa-like and the confining sectors of the effective inter-particle potential we have computed.

13.403096

8.761342

12.396546

9.326069

10.16603

9.10191

9.217637

8.822776

9.075418

13.062634

9.482702

10.418048

11.890344

10.671624

10.44724

10.783968

10.321687

10.327528

10.476885

11.723181

10.803777

1506.08172

Warren Siegel

W. Siegel

Parametrization of cosets for AdS5xS5 superstring action

3 pages

null

YITP-SB-15-22

hep-th

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

A formulation recently proposed [arXiv:1506.07706] as an alternative to the usual coset PSU(2,2|4)/USp(2,2)USp(4) for the superspace geometry of the Type IIB superstring on an AdS5xS5 background is shown to be a particular parametrization of this coset. Standard methods can then be applied.

[ { "created": "Fri, 26 Jun 2015 18:00:17 GMT", "version": "v1" } ]

2015-06-29

[ [ "Siegel", "W.", "" ] ]

A formulation recently proposed [arXiv:1506.07706] as an alternative to the usual coset PSU(2,2|4)/USp(2,2)USp(4) for the superspace geometry of the Type IIB superstring on an AdS5xS5 background is shown to be a particular parametrization of this coset. Standard methods can then be applied.

9.230936

7.409506

9.017813

8.425396

8.595876

7.84668

7.685666

7.877927

7.755478

9.853253

7.778162

7.872377

7.6634

7.98914

8.509879

8.350454

7.973802

8.172474

7.906599

7.967578

8.537889

1302.4737

Paolo Aschieri

Paolo Aschieri and Sergio Ferrara

Constitutive relations and Schroedinger's formulation of nonlinear electromagnetic theories

Revised version with: integrability conditions on equations of motion; equivalence between deformed twisted self-duality conditions and equations of motion from action functionals S[F] (Section 2.5); stressed universality of the quartic equation. References added. 31 pages. To appear in JHEP

null

10.1007/JHEP05(2013)087

CERN-PH-TH/2013-004

hep-th math-ph math.MP

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

We present a systematic study of nonlinear and higher derivatives extensions of electromagnetism. We clarify when action functionals S[F] can be explicitly obtained from arbitrary (not necessarily self-dual) nonlinear equations of motion. We show that the "Deformed twisted self-duality condition" proposal originated in the context of supergravity counterterms is actually the general framework needed to discuss self-dual theories starting from a variational principle. We generalize to nonlinear and higher derivatives theories Schroedinger formulation of Born-Infeld theory, and for the latter, and more in general for nonlinear theories, we derive a closed form expression of the corresponding deformed twisted self-duality conditions. This implies that the hypergeometric expression entering these duality conditions and leading to Born-Infeld theory satisfies a hidden quartic equation.

[ { "created": "Tue, 19 Feb 2013 20:54:24 GMT", "version": "v1" }, { "created": "Tue, 30 Apr 2013 22:43:43 GMT", "version": "v2" } ]

2015-06-15

[ [ "Aschieri", "Paolo", "" ], [ "Ferrara", "Sergio", "" ] ]

We present a systematic study of nonlinear and higher derivatives extensions of electromagnetism. We clarify when action functionals S[F] can be explicitly obtained from arbitrary (not necessarily self-dual) nonlinear equations of motion. We show that the "Deformed twisted self-duality condition" proposal originated in the context of supergravity counterterms is actually the general framework needed to discuss self-dual theories starting from a variational principle. We generalize to nonlinear and higher derivatives theories Schroedinger formulation of Born-Infeld theory, and for the latter, and more in general for nonlinear theories, we derive a closed form expression of the corresponding deformed twisted self-duality conditions. This implies that the hypergeometric expression entering these duality conditions and leading to Born-Infeld theory satisfies a hidden quartic equation.

16.789286

17.607433

20.32756

15.571141

18.4249

17.591564

16.844481

15.801726

16.152599

19.084175

15.593167

15.316267

16.568119

16.283054

16.498177

16.68861

15.738631

16.326887

15.837105

16.42778

16.076298

1207.0517

Christoph Adam

C. Adam, C. Naya, J. Sanchez-Guillen, A. Wereszczynski

The vector BPS baby Skyrme model

20 pages, 4 figures

null

10.1103/PhysRevD.86.045015

null

hep-th math-ph math.MP

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

We investigate the relation between the BPS baby Skyrme model and its vector meson formulation, where the baby Skyrme term is replaced by a coupling between the topological current $B_\mu$ and the vector meson field $\omega_\mu$. The vector model still possesses infinitely many symmetries leading to infinitely many conserved currents which stand behind its solvability. It turns out that the similarities and differences of the two models depend strongly on the specific form of the potential. We find, for instance, that compactons (which exist in the BPS baby Skyrme model) disappear from the spectrum of solutions of the vector counterpart. Specifically, for the vector model with the old baby Skyrme potential we find that it has compacton solutions only provided that a delta function source term effectively screening the topological charge is inserted at the compacton boundary. For the old baby Skyrme potential squared we find that the vector model supports exponentially localized solitons, like the BPS baby Skyrme model. These solitons, however, saturate a BPS bound which is a nonlinear function of the topological charge and, as a consequence, higher solitons are unstable w.r.t. decay into smaller ones, which is at variance with the more conventional situation (a linear BPS bound and stable solitons) in the BPS baby Skyrme model.

[ { "created": "Mon, 2 Jul 2012 20:14:26 GMT", "version": "v1" } ]

2013-05-30

[ [ "Adam", "C.", "" ], [ "Naya", "C.", "" ], [ "Sanchez-Guillen", "J.", "" ], [ "Wereszczynski", "A.", "" ] ]

We investigate the relation between the BPS baby Skyrme model and its vector meson formulation, where the baby Skyrme term is replaced by a coupling between the topological current $B_\mu$ and the vector meson field $\omega_\mu$. The vector model still possesses infinitely many symmetries leading to infinitely many conserved currents which stand behind its solvability. It turns out that the similarities and differences of the two models depend strongly on the specific form of the potential. We find, for instance, that compactons (which exist in the BPS baby Skyrme model) disappear from the spectrum of solutions of the vector counterpart. Specifically, for the vector model with the old baby Skyrme potential we find that it has compacton solutions only provided that a delta function source term effectively screening the topological charge is inserted at the compacton boundary. For the old baby Skyrme potential squared we find that the vector model supports exponentially localized solitons, like the BPS baby Skyrme model. These solitons, however, saturate a BPS bound which is a nonlinear function of the topological charge and, as a consequence, higher solitons are unstable w.r.t. decay into smaller ones, which is at variance with the more conventional situation (a linear BPS bound and stable solitons) in the BPS baby Skyrme model.

6.877263

6.788443

7.442892

6.35665

6.913028

7.385562

6.71097

6.509072

6.640517

7.925237

6.655888

6.63215

6.774089

6.5075

6.688582

6.402652

6.683876

6.4737

6.52295

6.812275

6.530979

1501.06770

Rudra Prakash Malik

A. Shukla, N. Srinivas, R. P. Malik

Nilpotent Symmetries of a 4D Model of the Hodge Theory: Augmented (Anti-)Chiral Superfield Formalism

LaTeX file, 28 pages, journal reference is given

Annals of Physics 394: 98-119 (22 pages), 2018

10.1016/j.aop.2018.04.031

null

hep-th

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

We derive the continuous nilpotent symmetries of the four (3 + 1)-dimensional (4D) model of the Hodge theory (i.e. 4D Abelian 2-form gauge theory) by exploiting the beauty and strength of the symmetry invariant restrictions on the (anti-)chiral superfields. The above off-shell nilpotent symmetries are the Becchi-Rouet-Stora-Tyutin (BRST), anti-BRST and (anti-)co-BRST transformations which turn up beautifully due to the (anti-)BRST and (anti-)co-BRST invariant restrictions on the (anti-)chiral superfields that are defined on the (4, 1)-dimensional (anti-)chiral super-submanifolds of the general (4, 2)-dimensional supermanifold on which our ordinary 4D theory is generalized. The latter supermanifold is characterized by the superspace coordinates $Z^M = (x^\mu,\, \theta,\, \bar\theta)$ where $x^\mu\, (\mu = 0, 1, 2, 3 )$ are the bosonic coordinates and a pair of Grassmannian variables $\theta$ and $\bar\theta$ are fermionic in nature as they obey the standard relationships: $\theta^2 = {\bar\theta}^2 = 0,\, \theta\,\bar\theta + \bar\theta\,\theta = 0$). The derivation of the {\it proper} (anti-)co-BRST symmetries and proof of the absolute anticommutativity property of the conserved (anti-)BRST and (anti-) co-BRST charges are novel results of our present investigation (where only the (anti-)chiral superfields and their super-expansions have been taken into account).

[ { "created": "Tue, 27 Jan 2015 14:18:09 GMT", "version": "v1" }, { "created": "Thu, 18 May 2017 14:01:55 GMT", "version": "v2" }, { "created": "Thu, 3 May 2018 01:36:29 GMT", "version": "v3" }, { "created": "Thu, 7 Jun 2018 12:59:25 GMT", "version": "v4" } ]

2018-06-08

[ [ "Shukla", "A.", "" ], [ "Srinivas", "N.", "" ], [ "Malik", "R. P.", "" ] ]

We derive the continuous nilpotent symmetries of the four (3 + 1)-dimensional (4D) model of the Hodge theory (i.e. 4D Abelian 2-form gauge theory) by exploiting the beauty and strength of the symmetry invariant restrictions on the (anti-)chiral superfields. The above off-shell nilpotent symmetries are the Becchi-Rouet-Stora-Tyutin (BRST), anti-BRST and (anti-)co-BRST transformations which turn up beautifully due to the (anti-)BRST and (anti-)co-BRST invariant restrictions on the (anti-)chiral superfields that are defined on the (4, 1)-dimensional (anti-)chiral super-submanifolds of the general (4, 2)-dimensional supermanifold on which our ordinary 4D theory is generalized. The latter supermanifold is characterized by the superspace coordinates $Z^M = (x^\mu,\, \theta,\, \bar\theta)$ where $x^\mu\, (\mu = 0, 1, 2, 3 )$ are the bosonic coordinates and a pair of Grassmannian variables $\theta$ and $\bar\theta$ are fermionic in nature as they obey the standard relationships: $\theta^2 = {\bar\theta}^2 = 0,\, \theta\,\bar\theta + \bar\theta\,\theta = 0$). The derivation of the {\it proper} (anti-)co-BRST symmetries and proof of the absolute anticommutativity property of the conserved (anti-)BRST and (anti-) co-BRST charges are novel results of our present investigation (where only the (anti-)chiral superfields and their super-expansions have been taken into account).

4.436484

3.064307

5.508124

3.532254

3.414661

3.319006

3.312871

3.235012

3.619048

5.740384

3.568419

3.864862

4.629244

3.989769

4.065797

4.000145

3.955538

3.939695

4.018592

4.622323

3.94092

1403.3699

Andrey Bagrov

Andrey Bagrov, Balazs Meszena, Koenraad Schalm

Pairing induced superconductivity in holography

38 pages; 24 figures; revtex4 v2: Acknowledgements added

null

10.1007/JHEP09(2014)106

null

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

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

We study pairing induced superconductivity in large $N$ strongly coupled systems at finite density using holography. In the weakly coupled dual gravitational theory the mechanism is conventional BCS theory. An IR hard wall cut-off is included to ensure that we can controllably address the dynamics of a single confined Fermi surface. We address in detail the interplay between the scalar order parameter field and fermion pairing. Adding an explicitly dynamical scalar operator with the same quantum numbers as the fermion-pair, the theory experiences a BCS/BEC crossover controlled by the relative scaling dimensions. We find the novel result that this BCS/BEC crossover exposes resonances in the canonical expectation value of the scalar operator. This occurs not only when the scaling dimension is degenerate with the Cooper pair, but also with that of higher derivative paired operators. We speculate that a proper definition of the order parameter which takes mixing with these operators into account stays finite nevertheless.

[ { "created": "Fri, 14 Mar 2014 20:04:36 GMT", "version": "v1" }, { "created": "Tue, 18 Mar 2014 19:44:36 GMT", "version": "v2" } ]

2015-06-19

[ [ "Bagrov", "Andrey", "" ], [ "Meszena", "Balazs", "" ], [ "Schalm", "Koenraad", "" ] ]

We study pairing induced superconductivity in large $N$ strongly coupled systems at finite density using holography. In the weakly coupled dual gravitational theory the mechanism is conventional BCS theory. An IR hard wall cut-off is included to ensure that we can controllably address the dynamics of a single confined Fermi surface. We address in detail the interplay between the scalar order parameter field and fermion pairing. Adding an explicitly dynamical scalar operator with the same quantum numbers as the fermion-pair, the theory experiences a BCS/BEC crossover controlled by the relative scaling dimensions. We find the novel result that this BCS/BEC crossover exposes resonances in the canonical expectation value of the scalar operator. This occurs not only when the scaling dimension is degenerate with the Cooper pair, but also with that of higher derivative paired operators. We speculate that a proper definition of the order parameter which takes mixing with these operators into account stays finite nevertheless.

14.231587

16.172953

16.103441

14.066996

15.450191

15.737528

16.06595

13.552028

14.356375

16.555489

14.98895

13.68346

15.184775

13.738129

13.464225

13.388177

13.499521

14.171629

13.401942

15.003946

13.850244

2009.02544

Yang-Hui He

Yang-Hui He, and Andre Lukas

Machine Learning Calabi-Yau Four-folds

6 pages, 2 figures; references added

null

10.1016/j.physletb.2021.136139

null

hep-th math.AG stat.ML

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

Hodge numbers of Calabi-Yau manifolds depend non-trivially on the underlying manifold data and they present an interesting challenge for machine learning. In this letter we consider the data set of complete intersection Calabi-Yau four-folds, a set of about 900,000 topological types, and study supervised learning of the Hodge numbers h^1,1 and h^3,1 for these manifolds. We find that h^1,1 can be successfully learned (to 96% precision) by fully connected classifier and regressor networks. While both types of networks fail for h^3,1, we show that a more complicated two-branch network, combined with feature enhancement, can act as an efficient regressor (to 98% precision) for h^3,1, at least for a subset of the data. This hints at the existence of an, as yet unknown, formula for Hodge numbers.

[ { "created": "Sat, 5 Sep 2020 14:54:25 GMT", "version": "v1" }, { "created": "Mon, 14 Sep 2020 11:11:55 GMT", "version": "v2" } ]

2021-02-17

[ [ "He", "Yang-Hui", "" ], [ "Lukas", "Andre", "" ] ]

Hodge numbers of Calabi-Yau manifolds depend non-trivially on the underlying manifold data and they present an interesting challenge for machine learning. In this letter we consider the data set of complete intersection Calabi-Yau four-folds, a set of about 900,000 topological types, and study supervised learning of the Hodge numbers h^1,1 and h^3,1 for these manifolds. We find that h^1,1 can be successfully learned (to 96% precision) by fully connected classifier and regressor networks. While both types of networks fail for h^3,1, we show that a more complicated two-branch network, combined with feature enhancement, can act as an efficient regressor (to 98% precision) for h^3,1, at least for a subset of the data. This hints at the existence of an, as yet unknown, formula for Hodge numbers.

7.322206

7.001856

7.880138

7.142142

7.746052

6.960862

7.057476

7.088604

7.041059

8.530095

6.543094

6.77702

7.029976

7.170752

6.835658

7.028491

6.718288

6.96407

6.950338

6.964076

6.660321

hep-th/9410040

V. F. Mueller

V.F M\"uller

Classical Non-Abelian Solitons

5 pages, KL-TH-94/23

null

hep-th

null

In two space-time dimensions a class of classical multicomponent scalar field theories with discrete, in general non-Abelian global symmetry is considered. The corresponding soliton solutions are given for the cases of 2, 3, and 4 components.

[ { "created": "Fri, 7 Oct 1994 09:56:12 GMT", "version": "v1" } ]

2007-05-23

[ [ "Müller", "V. F", "" ] ]

In two space-time dimensions a class of classical multicomponent scalar field theories with discrete, in general non-Abelian global symmetry is considered. The corresponding soliton solutions are given for the cases of 2, 3, and 4 components.

9.401825

6.966565

8.932478

7.270949

7.300216

7.02463

7.879899

7.185008

7.365223

7.501822

7.712224

7.510324

7.912051

7.660286

7.546365

7.700737

7.300255

7.645894

7.505764

7.908702

7.72177

0904.4897

Kei-Ichi Kondo

Kugo-Ojima color confinement criterion and Gribov-Zwanziger horizon condition

15 pages, 1 figure, a version accepted for publication in Phys.Lett.B: minor changes and addition of references in [8]

Phys.Lett.B678:322-330,2009

10.1016/j.physletb.2009.06.026

CHIBA-EP-175

hep-th hep-lat hep-ph

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

We rewrite the Zwanziger horizon condition in terms of the Kugo-Ojima parameter for color confinement. This enables one to explain which value of the Kugo-Ojima parameter is allowed if the horizon condition is imposed. Although all the calculations are performed in the limit of vanishing Gribov parameter for simplicity, the obtained value is consistent with the result of numerical simulations. Consequently, the ghost propagator behaves like free and the gluon propagator is non-vanishing at low momenta, in harmony with recent lattice results and decoupling solution of the Schwinger-Dyson equation. The Kugo-Ojima criterion is realized only when the restriction is removed.

[ { "created": "Thu, 30 Apr 2009 18:13:32 GMT", "version": "v1" }, { "created": "Thu, 14 May 2009 07:57:58 GMT", "version": "v2" }, { "created": "Fri, 19 Jun 2009 16:05:45 GMT", "version": "v3" } ]

2009-07-24

[ [ "Kondo", "Kei-Ichi", "" ] ]

We rewrite the Zwanziger horizon condition in terms of the Kugo-Ojima parameter for color confinement. This enables one to explain which value of the Kugo-Ojima parameter is allowed if the horizon condition is imposed. Although all the calculations are performed in the limit of vanishing Gribov parameter for simplicity, the obtained value is consistent with the result of numerical simulations. Consequently, the ghost propagator behaves like free and the gluon propagator is non-vanishing at low momenta, in harmony with recent lattice results and decoupling solution of the Schwinger-Dyson equation. The Kugo-Ojima criterion is realized only when the restriction is removed.

8.902931

8.314554

8.598499

7.923353

7.724766

7.796895

7.840804

7.733885

7.322256

9.304961

7.285035

7.839769

7.896135

7.676633

7.513474

7.716569

7.973281

8.043

7.620043

7.873917

7.821047

hep-th/0401016

Xiaojun Wang

Bin Chen, Xiao-Jun Wang and Yong-Shi Wu

Integrable Open Spin Chain in Super Yang-Mills and the Plane-wave/SYM duality

18 pages, one eps figure, v3: typos corrected, clarifying footnotes added, treatment of complex roots revised

JHEP 0402 (2004) 029

10.1088/1126-6708/2004/02/029

null

hep-th

null

We investigate the integrable structures in an N=2 superconfomal Sp(N) Yang-Mills theory with matter, which is dual to an open+closed string system. We restrict ourselves to the BMN operators that correspond to free string states. In the closed string sector, an integrable structure is inherited from its parent theory, N=4 SYM. For the open string sector, the planar one-loop mixing matrix for gauge invariant holomorphic operators is identified with the Hamiltonian of an integrable SU(3) open spin chain. Using the K-matrix formalism we identify the integrable open-chain boundary conditions that correspond to string boundary conditions. The solutions to the algebraic Bethe ansatz equations (ABAE) with a few impurities are shown to recover the anomalous dimensions that exactly match the spectrum of free open string in the plane-wave background. We also discuss the properties of the solutions of ABAE beyond the BMN regime.

[ { "created": "Mon, 5 Jan 2004 20:58:19 GMT", "version": "v1" }, { "created": "Sun, 11 Jan 2004 02:31:18 GMT", "version": "v2" }, { "created": "Sat, 31 Jan 2004 11:29:05 GMT", "version": "v3" } ]

2009-11-10

[ [ "Chen", "Bin", "" ], [ "Wang", "Xiao-Jun", "" ], [ "Wu", "Yong-Shi", "" ] ]

We investigate the integrable structures in an N=2 superconfomal Sp(N) Yang-Mills theory with matter, which is dual to an open+closed string system. We restrict ourselves to the BMN operators that correspond to free string states. In the closed string sector, an integrable structure is inherited from its parent theory, N=4 SYM. For the open string sector, the planar one-loop mixing matrix for gauge invariant holomorphic operators is identified with the Hamiltonian of an integrable SU(3) open spin chain. Using the K-matrix formalism we identify the integrable open-chain boundary conditions that correspond to string boundary conditions. The solutions to the algebraic Bethe ansatz equations (ABAE) with a few impurities are shown to recover the anomalous dimensions that exactly match the spectrum of free open string in the plane-wave background. We also discuss the properties of the solutions of ABAE beyond the BMN regime.

7.20029

7.515541

9.194466

7.63236

8.224992

7.810083

8.140529

7.864042

8.263285

10.133494

7.733093

7.417596

8.055922

7.413949

7.374995

7.502549

7.290831

7.525787

7.304456

7.877386

7.305027

0905.2389

Antonio Soares de Castro

T.R. Cardoso, L.B. Castro, A.S. de Castro

On the nonminimal vector coupling in the Duffin-Kemmer-Petiau theory and the confinement of massive bosons by a linear potential

6 figures

J.Phys.A43:055306,2010

10.1088/1751-8113/43/5/055306

null

hep-th quant-ph

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

Vector couplings in the Duffin-Kemmer-Petiau theory are revised. It is shown that minimal and nonminimal vector potentials behave differently under charge-conjugation and time-reversal transformations. In particular, it is shown that nonminimal vector potentials have been erroneously applied to the description of elastic meson-nucleus scatterings and that the space component of the nonminimal vector potential plays a crucial role for the confinement of bosons. The DKP equation with nonminimal vector linear potentials is mapped into the nonrelativistic harmonic oscillator problem and the behavior of the solutions for this sort of DKP oscillator is discussed in detail. Furthermore, the absence of Klein's paradox and the localization of bosons in the presence of nonminimal vector interactions are discussed.

[ { "created": "Thu, 14 May 2009 17:56:51 GMT", "version": "v1" }, { "created": "Thu, 15 Oct 2009 18:38:08 GMT", "version": "v2" } ]

2010-01-21

[ [ "Cardoso", "T. R.", "" ], [ "Castro", "L. B.", "" ], [ "de Castro", "A. S.", "" ] ]

Vector couplings in the Duffin-Kemmer-Petiau theory are revised. It is shown that minimal and nonminimal vector potentials behave differently under charge-conjugation and time-reversal transformations. In particular, it is shown that nonminimal vector potentials have been erroneously applied to the description of elastic meson-nucleus scatterings and that the space component of the nonminimal vector potential plays a crucial role for the confinement of bosons. The DKP equation with nonminimal vector linear potentials is mapped into the nonrelativistic harmonic oscillator problem and the behavior of the solutions for this sort of DKP oscillator is discussed in detail. Furthermore, the absence of Klein's paradox and the localization of bosons in the presence of nonminimal vector interactions are discussed.

8.582696

7.796067

9.219454

7.755173

8.759129

8.318277

7.966554

8.23018

7.5945

9.570944

8.421354

8.22466

8.588583

8.340533

8.359075

8.391724

8.255229

8.086482

7.992773

8.573096

8.22274

1305.1103

Minxin Huang

Min-xin Huang

Dijkgraaf-Vafa conjecture and beta-deformed matrix models

13 pages. v2: journal version

null

10.1007/JHEP07(2013)173

USTC-ICTS-13-08

hep-th

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

We study the beta-deformed matrix models using the method of refined topological string theory. The refined holomorphic anomaly equation and boundary conditions near the singular divisors of the underlying geometry fix the refined amplitudes recursively. We provide exact test of the quantum integrality conjecture in the Nekrasov-Shatashvili limit. We check the higher genus exact formulae with perturbative matrix model calculations.

[ { "created": "Mon, 6 May 2013 07:47:08 GMT", "version": "v1" }, { "created": "Tue, 30 Jul 2013 06:03:46 GMT", "version": "v2" } ]

2015-06-15

[ [ "Huang", "Min-xin", "" ] ]

We study the beta-deformed matrix models using the method of refined topological string theory. The refined holomorphic anomaly equation and boundary conditions near the singular divisors of the underlying geometry fix the refined amplitudes recursively. We provide exact test of the quantum integrality conjecture in the Nekrasov-Shatashvili limit. We check the higher genus exact formulae with perturbative matrix model calculations.

12.626269

10.308146

15.899294

10.649641

11.65039

11.761611

10.643661

11.060001

10.166665

19.010839

10.063679

10.948269

12.225898

11.382043

10.442322

11.032809

10.483159

11.05008

10.930408

13.0704

11.2313

hep-th/9310041

null

D.V. Boulatov

Wilson loop on a sphere

10 pages, NBI-HE-93-57

Mod.Phys.Lett. A9 (1994) 365-374

10.1142/S0217732394000381

null

hep-th

null

We give the formula for a simple Wilson loop on a sphere which is valid for an arbitrary QCD$_2$ saddle-point $\rho(x)$: \mbox{$W(A_1,A_2)=\oint \frac{dx}{2\pi i} \exp(\int dy \frac{\rho(y)}{y-x}+A_2x)$}. The strong-coupling-phase solution is investigated.

[ { "created": "Thu, 7 Oct 1993 16:14:10 GMT", "version": "v1" } ]

2009-10-22

[ [ "Boulatov", "D. V.", "" ] ]

We give the formula for a simple Wilson loop on a sphere which is valid for an arbitrary QCD$_2$ saddle-point $\rho(x)$: \mbox{$W(A_1,A_2)=\oint \frac{dx}{2\pi i} \exp(\int dy \frac{\rho(y)}{y-x}+A_2x)$}. The strong-coupling-phase solution is investigated.

13.660954

12.480477

14.949425

10.697268

11.477937

12.404337

13.30976

10.877078

11.614336

13.048729

12.070099

11.646111

13.519314

12.49053

12.416379

11.88752

12.363303

12.001062

12.768474

12.788851

12.886405

1601.05679

Fedor Levkovich-Maslyuk

Nikolay Gromov, Fedor Levkovich-Maslyuk

Quark--anti-quark potential in N=4 SYM

31 pages, 1 figure; v2: minor correctons

JHEP 1612 (2016) 122

10.1007/JHEP12(2016)122

NORDITA-2016-134

hep-th

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

We construct a closed system of equations describing the quark--anti-quark potential at any coupling in planar N=4 supersymmetric Yang-Mills theory. It is based on the Quantum Spectral Curve method supplemented with a novel type of asymptotics. We present a high precision numerical solution reproducing the classical and one-loop string predictions very accurately. We also analytically compute the first 7 nontrivial orders of the weak coupling expansion. Moreover, we study analytically the generalized quark--anti-quark potential in the limit of large imaginary twist to all orders in perturbation theory. We demonstrate how the QSC reduces in this case to a one-dimensional Schrodinger equation. In the process we establish a link between the Q-functions and the solution of the Bethe-Salpeter equation.

[ { "created": "Thu, 21 Jan 2016 15:35:29 GMT", "version": "v1" }, { "created": "Sat, 17 Jun 2017 10:02:37 GMT", "version": "v2" } ]

2017-06-20

[ [ "Gromov", "Nikolay", "" ], [ "Levkovich-Maslyuk", "Fedor", "" ] ]

We construct a closed system of equations describing the quark--anti-quark potential at any coupling in planar N=4 supersymmetric Yang-Mills theory. It is based on the Quantum Spectral Curve method supplemented with a novel type of asymptotics. We present a high precision numerical solution reproducing the classical and one-loop string predictions very accurately. We also analytically compute the first 7 nontrivial orders of the weak coupling expansion. Moreover, we study analytically the generalized quark--anti-quark potential in the limit of large imaginary twist to all orders in perturbation theory. We demonstrate how the QSC reduces in this case to a one-dimensional Schrodinger equation. In the process we establish a link between the Q-functions and the solution of the Bethe-Salpeter equation.

6.852546

7.441438

7.81308

6.782558

7.127182

6.773293

6.695781

6.922675

6.762722

8.220866

6.609066

6.591444

7.182365

6.488949

6.62563

6.755964

6.519601

6.687107

6.465837

6.85306

6.683483

hep-th/9809010

Hatem Widyan

Hatem Widyan, A. Mukherjee, N. Panchapakesan and R. P. Saxena (Department of Physics, University of Delhi, India)

Bounce solutions and the transition to thermal hopping in phi^4 theory with a phi^3 term

Latex file with 18 figures, 29 pages

Phys.Rev. D59 (1999) 045003

10.1103/PhysRevD.59.045003

null

hep-th

null

The nature of the transition from quantum tunneling at low temperatures to thermal hopping at high temperatures is investigated in a scalar field theory with cubic symmetry breaking. The bounce solution which interpolates between the zero-temperature and high-temperature solutions is obtained numerically, using a multigrid method. It is found that, for a small value of the symmetry-breaking coupling f, the transition is first-order. For higher values of f, the transition continues to be first-order, though weakly so.

[ { "created": "Wed, 2 Sep 1998 03:41:05 GMT", "version": "v1" } ]

2009-10-31

[ [ "Widyan", "Hatem", "", "Department of Physics, University of Delhi, India" ], [ "Mukherjee", "A.", "", "Department of Physics, University of Delhi, India" ], [ "Panchapakesan", "N.", "", "Department of Physics, University of Delhi, India" ], [ "Saxena", "R. P.", "", "Department of Physics, University of Delhi, India" ] ]

The nature of the transition from quantum tunneling at low temperatures to thermal hopping at high temperatures is investigated in a scalar field theory with cubic symmetry breaking. The bounce solution which interpolates between the zero-temperature and high-temperature solutions is obtained numerically, using a multigrid method. It is found that, for a small value of the symmetry-breaking coupling f, the transition is first-order. For higher values of f, the transition continues to be first-order, though weakly so.

7.015508

7.635024

6.44471

6.33683

6.518914

6.775579

7.205334

6.574132

5.754088

6.362597

6.63143

6.16622

6.391099

6.037684

6.300395

6.207165

6.147063

6.341484

6.051146

6.821982

6.180643

hep-th/0303011

Shin'ichi Nojiri

Shin'ichi Nojiri and Sergei D. Odintsov

Quantum effects in five-dimensional brane-world: creation of deSitter branes and particles and stabilization of induced cosmological constant

LaTeX file, 24 pages, version to appear in JCAP, some references added

JCAP 0306:004,2003

10.1088/1475-7516/2003/06/004

null

hep-th hep-ph

null

The role of quantum effects in brane-world cosmology is investigated. It is shown in time-independent formulation that quantum creation of deSitter branes in five-dimensional (A)dS bulk occurs with also account of brane quantum CFT contribution. The surface action is chosen to include cosmological constant and curvature term. (The time-dependent formulation of quantum-corrected brane FRW equations is shown to be convenient for comparison with Supernovae data). The particles creation on deSitter brane is estimated and is shown to be increased due to KK modes. The deSitter brane effective potential due to bulk quantum matter on 5d AdS space is found. It may be used to get the observable cosmological constant in the minimum of the potential (stabilization). The appearence of the entropy bounds from bulk field equation is also mentioned.

[ { "created": "Mon, 3 Mar 2003 05:02:10 GMT", "version": "v1" }, { "created": "Wed, 28 May 2003 13:00:46 GMT", "version": "v2" } ]

2009-09-17

[ [ "Nojiri", "Shin'ichi", "" ], [ "Odintsov", "Sergei D.", "" ] ]

The role of quantum effects in brane-world cosmology is investigated. It is shown in time-independent formulation that quantum creation of deSitter branes in five-dimensional (A)dS bulk occurs with also account of brane quantum CFT contribution. The surface action is chosen to include cosmological constant and curvature term. (The time-dependent formulation of quantum-corrected brane FRW equations is shown to be convenient for comparison with Supernovae data). The particles creation on deSitter brane is estimated and is shown to be increased due to KK modes. The deSitter brane effective potential due to bulk quantum matter on 5d AdS space is found. It may be used to get the observable cosmological constant in the minimum of the potential (stabilization). The appearence of the entropy bounds from bulk field equation is also mentioned.

15.566212

15.232011

15.870496

14.658771

16.237896

15.864166

15.608637

15.740076

13.971415

15.797459

15.071877

15.271356

16.00037

15.202202

15.159985

15.422099

15.046454

15.540585

15.546511

15.59908

15.33208

1009.3677

Fu-Wen Shu

Extended Ho\v{r}ava Gravity with Physical Ground-State Wavefunction

15 pages,no figure

null

hep-th gr-qc

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

We propose a new extended theory of Ho\v{r}ava gravity based on the following three conditions: (i) UV completion, (ii) healthy IR behavior and (iii) a stable vacuum state in quantized version of the theory. Compared with other extended theories, we stress that any realistic theory of gravity must have physical ground states when quantization is performed. To fulfill the three conditions, we softly break the detailed balance but keep its basic structure unchanged. It turns out that the new model constructed in this way can avoid the strong coupling problem and remains power-counting renormalizable, moreover, it has a stable vacuum state by an appropriate choice of parameters.

[ { "created": "Mon, 20 Sep 2010 01:51:56 GMT", "version": "v1" } ]

2010-09-21

[ [ "Shu", "Fu-Wen", "" ] ]

We propose a new extended theory of Ho\v{r}ava gravity based on the following three conditions: (i) UV completion, (ii) healthy IR behavior and (iii) a stable vacuum state in quantized version of the theory. Compared with other extended theories, we stress that any realistic theory of gravity must have physical ground states when quantization is performed. To fulfill the three conditions, we softly break the detailed balance but keep its basic structure unchanged. It turns out that the new model constructed in this way can avoid the strong coupling problem and remains power-counting renormalizable, moreover, it has a stable vacuum state by an appropriate choice of parameters.

10.756798

10.547153

10.386526

9.534457

11.384075

10.438684

11.412052

11.354459

9.903559

11.079006

10.247397

9.892215

10.222995

10.285806

10.534966

9.872458

10.162954

9.736867

10.421215

10.360152

9.908721

hep-th/9410177

Masaru Nagura

Masaru Nagura (Department of Phisics, The University of Tokyo, Japan)

Mirror Symmetry on Arbitrary Dimensional Calabi-Yau Manifold with a few moduli

10pages,UT-689, nagura@danjuro.pyhs.s.u-tokyo.ac.jp

Mod. Phys. Lett. A10 (1995) 1677

10.1142/S0217732395001794

null

hep-th

null

We calculate the B-model on the mirror pair of $X_{2N-2}(2,2,\cdots,2,1,1)$ , which is an $(N-2)$-dimensional Calabi-Yau manifold and has two marginal operators i.e. $h^{1,1}(X_{2N-2}(2,2,\cdots,2,1,1))=2$. In \cite{nagandjin} we have discussed about mirror symmetry on $X_N(1,1,\cdots,1)$ and its mirror pair. However, $X_N(1,1,\cdots,1)$ had only one moduli. In this paper we extend its methods to the case with a few moduli using toric geometry.

[ { "created": "Mon, 24 Oct 1994 13:45:36 GMT", "version": "v1" } ]

2015-06-26

[ [ "Nagura", "Masaru", "", "Department of Phisics, The University of Tokyo, Japan" ] ]

We calculate the B-model on the mirror pair of $X_{2N-2}(2,2,\cdots,2,1,1)$ , which is an $(N-2)$-dimensional Calabi-Yau manifold and has two marginal operators i.e. $h^{1,1}(X_{2N-2}(2,2,\cdots,2,1,1))=2$. In \cite{nagandjin} we have discussed about mirror symmetry on $X_N(1,1,\cdots,1)$ and its mirror pair. However, $X_N(1,1,\cdots,1)$ had only one moduli. In this paper we extend its methods to the case with a few moduli using toric geometry.

6.127761

6.553483

7.65064

6.1916

6.079315

6.517982

6.558303

6.354103

6.01171

8.070869

6.07692

6.015635

6.724979

6.16456

6.156091

5.967983

5.992815

5.989182

6.071883

6.441341

5.954578

2106.01470

Sanjaye Ramgoolam

Joseph Ben Geloun and Sanjaye Ramgoolam

All-orders asymptotics of tensor model observables from symmetries of restricted partitions

44 pages

null

10.1088/1751-8121/ac9b3b

QMUL-PH-21-20

hep-th math.CO math.RT

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

The counting of the dimension of the space of $U(N) \times U(N) \times U(N)$ polynomial invariants of a complex $3$-index tensor as a function of degree $n$ is known in terms of a sum of squares of Kronecker coefficients. For $n \le N$, the formula can be expressed in terms of a sum of symmetry factors of partitions of $n$ denoted $Z_3(n)$. We derive the large $n$ all-orders asymptotic formula for $ Z_3(n)$ making contact with high order results previously obtained numerically. The derivation relies on the dominance in the sum, of partitions with many parts of length $1$. The dominance of other small parts in restricted partition sums leads to related asymptotic results. The result for the $3$-index tensor observables gives the large $n$ asymptotic expansion for the counting of bipartite ribbon graphs with $n$ edges, and for the dimension of the associated Kronecker permutation centralizer algebra. We explain how the different terms in the asymptotics are associated with probability distributions over ribbon graphs. The large $n$ dominance of small parts also leads to conjectured formulae for the asymptotics of invariants for general $d$-index tensors. The coefficients of $ 1/n$ in these expansions involve Stirling numbers of the second kind along with restricted partition sums.

[ { "created": "Wed, 2 Jun 2021 21:10:06 GMT", "version": "v1" } ]

2022-11-23

[ [ "Geloun", "Joseph Ben", "" ], [ "Ramgoolam", "Sanjaye", "" ] ]

The counting of the dimension of the space of $U(N) \times U(N) \times U(N)$ polynomial invariants of a complex $3$-index tensor as a function of degree $n$ is known in terms of a sum of squares of Kronecker coefficients. For $n \le N$, the formula can be expressed in terms of a sum of symmetry factors of partitions of $n$ denoted $Z_3(n)$. We derive the large $n$ all-orders asymptotic formula for $ Z_3(n)$ making contact with high order results previously obtained numerically. The derivation relies on the dominance in the sum, of partitions with many parts of length $1$. The dominance of other small parts in restricted partition sums leads to related asymptotic results. The result for the $3$-index tensor observables gives the large $n$ asymptotic expansion for the counting of bipartite ribbon graphs with $n$ edges, and for the dimension of the associated Kronecker permutation centralizer algebra. We explain how the different terms in the asymptotics are associated with probability distributions over ribbon graphs. The large $n$ dominance of small parts also leads to conjectured formulae for the asymptotics of invariants for general $d$-index tensors. The coefficients of $ 1/n$ in these expansions involve Stirling numbers of the second kind along with restricted partition sums.

9.413843

10.072083

9.941824

9.450647

9.981212

10.322929

10.441189

9.843717

9.48951

10.767212

9.61574

9.755917

9.46481

9.266101

9.245317

9.577045

9.043867

9.42136

9.254506

9.440565

9.18037

hep-th/0209013

Hongsu Kim

Quantum Description for the Decay of NSNS Brane-Antibrane Systems

22 pages, 4 eps figures, Latex, comments and references added

Int. J. Mod. Phys. A19 (2004) 4861-4882

10.1142/S0217751X04017483

null

hep-th

null

The stringy description for the instabilities in the $RR$ charged $D_{p}-\bar{D}_{p}$ pairs is now well understood in terms of the open string tachyon condensation. The quantum interpretation presumably via the stringy description for the instabilities in the $NSNS$-charged $F1-\bar{F1}$ and $NS5-\bar{NS5}$ pairs in IIA/IIB theories, however, has not been established yet. This would be partly because of the absence (for the $F1-\bar{F1}$ case) or our relatively poor understanding (for the $NS5-\bar{NS5}$ case) of their worldvolume (gauge theory) dynamics. In the present work, using the well-known quantum description for instabilities in the $RR$-charged $D_{p}-\bar{D}_{p}$ systems and in the M-theory brane-antibrane systems and invoking appropriate string dualities, the stringy nature of the instabilities in the $NSNS$-charged $F1-\bar{F1}$ and $NS5-\bar{NS5}$ systems has been uncovered. For the annihilations to string vacua, the quantum, stringy interpretations are simple extensions of Sen's conjecture for those in $RR$-charged brane-antibrane systems.

[ { "created": "Mon, 2 Sep 2002 16:20:12 GMT", "version": "v1" }, { "created": "Wed, 4 Sep 2002 08:24:00 GMT", "version": "v2" }, { "created": "Wed, 23 Oct 2002 15:15:25 GMT", "version": "v3" }, { "created": "Thu, 12 Dec 2002 09:32:23 GMT", "version": "v4" }, { "created": "Fri, 19 Nov 2004 10:56:38 GMT", "version": "v5" } ]

2009-11-07

[ [ "Kim", "Hongsu", "" ] ]

The stringy description for the instabilities in the $RR$ charged $D_{p}-\bar{D}_{p}$ pairs is now well understood in terms of the open string tachyon condensation. The quantum interpretation presumably via the stringy description for the instabilities in the $NSNS$-charged $F1-\bar{F1}$ and $NS5-\bar{NS5}$ pairs in IIA/IIB theories, however, has not been established yet. This would be partly because of the absence (for the $F1-\bar{F1}$ case) or our relatively poor understanding (for the $NS5-\bar{NS5}$ case) of their worldvolume (gauge theory) dynamics. In the present work, using the well-known quantum description for instabilities in the $RR$-charged $D_{p}-\bar{D}_{p}$ systems and in the M-theory brane-antibrane systems and invoking appropriate string dualities, the stringy nature of the instabilities in the $NSNS$-charged $F1-\bar{F1}$ and $NS5-\bar{NS5}$ systems has been uncovered. For the annihilations to string vacua, the quantum, stringy interpretations are simple extensions of Sen's conjecture for those in $RR$-charged brane-antibrane systems.

5.998589

5.609268

6.108252

5.619143

5.758161

5.662204

5.730904

5.477768

5.605653

6.489961

5.304992

5.327243

5.551947

5.337833

5.306942

5.293838

5.258248

5.368884

5.287694

5.552182

5.246794

0906.1273

Guido Festuccia

Linda M. Carpenter, Michael Dine, Guido Festuccia

Dynamics of the Peccei Quinn Scale

17 pages, 1 figure

Phys.Rev.D80:125017,2009

10.1103/PhysRevD.80.125017

SCIPP 2009/05

hep-th hep-ph

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

Invoking the Peccei-Quinn (PQ) solution to the strong CP problem substitutes the puzzle of why $\theta_{qcd}$ is so small with the puzzle of why the PQ symmetry is of such high quality. Cosmological and astrophysical considerations raise further puzzles. This paper explores this issues in several contexts: string theory and field theory, and theories without and with low energy supersymmetry. Among the questions studied are whether requiring axion dark matter can account for the quality of the PQ symmetry, to which the answer is sometimes yes. In non-supersymmetric theories, we find $f_a = 10^{12}$ GeV is quite plausible. In gauge mediation, cosmological constraints on pseudomoduli place $f_a$ in this range, and require that the gravitino mass be of order an MeV.

[ { "created": "Sat, 6 Jun 2009 13:23:57 GMT", "version": "v1" }, { "created": "Tue, 23 Jun 2009 06:10:44 GMT", "version": "v2" }, { "created": "Thu, 9 Jul 2009 21:47:11 GMT", "version": "v3" } ]

2009-12-30

[ [ "Carpenter", "Linda M.", "" ], [ "Dine", "Michael", "" ], [ "Festuccia", "Guido", "" ] ]

Invoking the Peccei-Quinn (PQ) solution to the strong CP problem substitutes the puzzle of why $\theta_{qcd}$ is so small with the puzzle of why the PQ symmetry is of such high quality. Cosmological and astrophysical considerations raise further puzzles. This paper explores this issues in several contexts: string theory and field theory, and theories without and with low energy supersymmetry. Among the questions studied are whether requiring axion dark matter can account for the quality of the PQ symmetry, to which the answer is sometimes yes. In non-supersymmetric theories, we find $f_a = 10^{12}$ GeV is quite plausible. In gauge mediation, cosmological constraints on pseudomoduli place $f_a$ in this range, and require that the gravitino mass be of order an MeV.

9.424387

9.00161

8.222104

7.853976

9.104829

8.939527

9.294313

9.441308

8.028577

8.702991

8.442427

8.649713

8.203973

8.321982

8.507003

8.631375

8.760765

9.020121

8.1794

8.221947

8.522919

hep-th/0412129

Tom Banks

T.Banks

Landskepticism: or Why Effective Potentials Don't Count String Models

LaTeX-JHEP.cls, 22 pages

null

SCIPP-2004/54

hep-th

null

This paper is a synthesis of talks I gave at the Cargese Workshop in June 2004 and the Munich Conference on Superstring Vacua in November 2004. I present arguments which show that the landscape of string theory is not a well established feature of the theory, as well as a brief discussion of the phenomenological prospects of the landscape and the use of the anthropic principle.

[ { "created": "Mon, 13 Dec 2004 13:34:15 GMT", "version": "v1" } ]

2007-05-23

[ [ "Banks", "T.", "" ] ]

This paper is a synthesis of talks I gave at the Cargese Workshop in June 2004 and the Munich Conference on Superstring Vacua in November 2004. I present arguments which show that the landscape of string theory is not a well established feature of the theory, as well as a brief discussion of the phenomenological prospects of the landscape and the use of the anthropic principle.

8.837019

8.9534

8.463443

8.01568

8.315949

8.116361

7.76405

7.790158

8.56169

11.083076

7.599608

8.342976

8.373175

8.046201

8.43263

8.46972

8.194554

8.700871

8.038212

8.234435

8.303551

hep-th/0012066

P. Czerhoniak

P.Czerhoniak (Pedagogical Univ. in Zielona Gora, Poland)

Force in Kappa-Deformed Relativistic Dynamics

LaTeX, 9 pages

Mod.Phys.Lett.A15:1823-1831,2000

10.1142/S0217732300002413

null

hep-th math.QA

null

We consider the physical implications of various choices of the three-momentum basis in the kappa-deformed Poincare algebra. In particular, we find that the energy dependence of the velocity of a kappa-particle leads to unexpected features in kappa-deformed kinematics. We also discuss the notion of kappa-deformed dynamics, and as a tool example we investigate the motion of a kappa-deformed particle under the action of a constant force.

[ { "created": "Fri, 8 Dec 2000 00:40:47 GMT", "version": "v1" }, { "created": "Sat, 9 Dec 2000 02:02:28 GMT", "version": "v2" } ]

2014-11-18

[ [ "Czerhoniak", "P.", "", "Pedagogical Univ. in Zielona Gora, Poland" ] ]

We consider the physical implications of various choices of the three-momentum basis in the kappa-deformed Poincare algebra. In particular, we find that the energy dependence of the velocity of a kappa-particle leads to unexpected features in kappa-deformed kinematics. We also discuss the notion of kappa-deformed dynamics, and as a tool example we investigate the motion of a kappa-deformed particle under the action of a constant force.

9.675631

9.898637

9.026053

8.538386

8.60574

8.444079

9.051853

9.37098

8.387639

10.50913

8.936803

9.10093

9.568058

8.93988

9.269981

9.418495

8.913856

9.922166

9.281048

9.443332

9.070129

1803.07406

Francesco Toppan

Zhanna Kuznetsova and Francesco Toppan

On Light-like Deformations of the Poincar\'e Algebra

18 pages; final version to appear in Eur. Phys. J. C

Eur. Phys. J. C. (2019) 79:27

10.1140/epjc/s10052-019-6548-3

CBPF-NF-002/18

hep-th math-ph math.MP

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

We investigate the observational consequences of the light-like deformations of the Poincar\'e algebra induced by the jordanian and the extended jordanian classes of Drinfel'd twists. Twist-deformed generators belonging to a Universal Enveloping Algebra close nonlinear algebras. In some cases the nonlinear algebra is responsible for the existence of bounded domains of the deformed generators. The Hopf algebra coproduct implies associative nonlinear additivity of the multi-particle states. A subalgebra of twist-deformed observables is recovered whenever the twist-deformed generators are either hermitian or pseudo-hermitian with respect to a common invertible hermitian operator.

[ { "created": "Tue, 20 Mar 2018 13:12:49 GMT", "version": "v1" }, { "created": "Thu, 3 Jan 2019 15:35:07 GMT", "version": "v2" } ]

2019-02-12

[ [ "Kuznetsova", "Zhanna", "" ], [ "Toppan", "Francesco", "" ] ]

We investigate the observational consequences of the light-like deformations of the Poincar\'e algebra induced by the jordanian and the extended jordanian classes of Drinfel'd twists. Twist-deformed generators belonging to a Universal Enveloping Algebra close nonlinear algebras. In some cases the nonlinear algebra is responsible for the existence of bounded domains of the deformed generators. The Hopf algebra coproduct implies associative nonlinear additivity of the multi-particle states. A subalgebra of twist-deformed observables is recovered whenever the twist-deformed generators are either hermitian or pseudo-hermitian with respect to a common invertible hermitian operator.

13.532322

13.704405

15.649384

12.974348

15.570724

14.25764

15.158269

12.213562

12.875497

18.922804

14.01105

14.160014

13.548434

13.140231

13.393997

13.91606

13.710859

13.143408

13.462678

14.055564

13.105962

hep-th/9412112

null

J.-P. Derendinger

Anomaly Cancellations and String Symmetries in the Effective Field Theory

10 pages, LaTeX

null

NEIP-94-013

hep-th

null

This contribution briefly describes some developments of the use of string symmetries and anomaly cancellation mechanisms to include string loop corrections in the construction of the low-energy effective supergravity of superstrings. (Presented at the 27th International Conference on High Energy Physics, Glasgow, July 1994)

[ { "created": "Tue, 13 Dec 1994 08:46:05 GMT", "version": "v1" } ]

2016-09-06

[ [ "Derendinger", "J. -P.", "" ] ]

This contribution briefly describes some developments of the use of string symmetries and anomaly cancellation mechanisms to include string loop corrections in the construction of the low-energy effective supergravity of superstrings. (Presented at the 27th International Conference on High Energy Physics, Glasgow, July 1994)

11.860546

9.347325

11.667029

8.785729

11.509596

10.082262

9.846175

10.607616

8.092261

10.071627

9.101291

9.037311

9.494271

8.575572

9.2576

9.404879

8.981088

9.001449

9.071198

9.534733

9.125174

hep-th/0309031

Richard Szabo

Giovanni Landi, Fedele Lizzi and Richard J. Szabo

A New Matrix Model for Noncommutative Field Theory

14 pages, 2 figures

Phys.Lett. B578 (2004) 449-458

10.1016/j.physletb.2003.10.059

DSF-01-03, HWM-03-17, EMPG-03-16

hep-th math.OA

null

We describe a new regularization of quantum field theory on the noncommutative torus by means of one-dimensional matrix models. The construction is based on the Elliott-Evans inductive limit decomposition of the noncommutative torus algebra. The matrix trajectories are obtained via the expansion of fields in a basis of new noncommutative solitons described by projections and partial isometries. The matrix quantum mechanics are compared with the usual zero-dimensional matrix model regularizations and some applications are sketched.

[ { "created": "Tue, 2 Sep 2003 18:34:26 GMT", "version": "v1" } ]

2010-04-05

[ [ "Landi", "Giovanni", "" ], [ "Lizzi", "Fedele", "" ], [ "Szabo", "Richard J.", "" ] ]

We describe a new regularization of quantum field theory on the noncommutative torus by means of one-dimensional matrix models. The construction is based on the Elliott-Evans inductive limit decomposition of the noncommutative torus algebra. The matrix trajectories are obtained via the expansion of fields in a basis of new noncommutative solitons described by projections and partial isometries. The matrix quantum mechanics are compared with the usual zero-dimensional matrix model regularizations and some applications are sketched.

12.184688

11.894097

13.513503

10.830007

11.844211

10.627944

11.298966

10.714723

11.881148

13.051346

10.502575

10.393267

11.681212

10.888527

11.52405

10.766049

11.336432

10.85587

10.403685

12.071743

10.965967

hep-th/9904128

Gavin Polhemus

Eigenvalue Repulsion and Matrix Black Holes

10 pages, AMS-LaTeX

null

EFI-99-14

hep-th

null

Eigenvalue repulsion can explain the holographic growth of black holes in Matrix theory. The resulting picture is essentially the same as the Boltzman gas picture but avoids any assumption about the effective potential between the D0 branes. Further, eigenvalue repulsion extends the Boltzman gas picture past the BFKS point to N >> S. The use of Boltzman statistics is natural in this picture.

[ { "created": "Mon, 19 Apr 1999 17:50:36 GMT", "version": "v1" } ]

2007-05-23

[ [ "Polhemus", "Gavin", "" ] ]

Eigenvalue repulsion can explain the holographic growth of black holes in Matrix theory. The resulting picture is essentially the same as the Boltzman gas picture but avoids any assumption about the effective potential between the D0 branes. Further, eigenvalue repulsion extends the Boltzman gas picture past the BFKS point to N >> S. The use of Boltzman statistics is natural in this picture.

23.170496

18.837107

28.313332

20.173717

23.707771

19.601896

21.100044

19.893963

19.733871

26.713324

19.444256

20.624693

22.341257

19.741249

19.649876

21.661938

21.175661

20.359734

20.027725

22.729979

19.717373

2302.07247

Mehdi Sadeghi

Holographic Aspects of Non-minimal $RF^{(a)}_{\mu \alpha }F^{(a)\mu \alpha} $ Black Brane

13 pages, no figure, typo corrected, references added, minor modifications, to appear in MPLA

null

10.1142/S0217732323500980

null

hep-th

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

In this paper, we consider Einstein-Hilbert gravity in the presence of cosmological constant and an electric field of Yang-Mills type, which is minimally coupled to gravity. We couple the Ricci scalar to the Yang-Mills invariant to obtain a modified theory of gravity. The black brane solution of this model is introduced up to the first order of the $RF^{(a)}_{\mu \alpha }F^{(a)\mu \alpha} $ term. Then, the color non-abelian direct current (DC) conductivity and the ratio of shear viscosity to entropy density are calculated for this solution. Our results recover the Yang-Mills Schwarzschild AdS black brane in the limit of $q_2 \to 0$.

[ { "created": "Tue, 14 Feb 2023 18:43:29 GMT", "version": "v1" }, { "created": "Fri, 14 Jul 2023 09:25:58 GMT", "version": "v2" } ]

2023-08-21

[ [ "Sadeghi", "Mehdi", "" ] ]

In this paper, we consider Einstein-Hilbert gravity in the presence of cosmological constant and an electric field of Yang-Mills type, which is minimally coupled to gravity. We couple the Ricci scalar to the Yang-Mills invariant to obtain a modified theory of gravity. The black brane solution of this model is introduced up to the first order of the $RF^{(a)}_{\mu \alpha }F^{(a)\mu \alpha} $ term. Then, the color non-abelian direct current (DC) conductivity and the ratio of shear viscosity to entropy density are calculated for this solution. Our results recover the Yang-Mills Schwarzschild AdS black brane in the limit of $q_2 \to 0$.

8.101856

6.534738

7.742533

6.689878

6.232371

6.257435

6.968897

5.833715

6.534799

8.640429

6.082045

6.798498

7.20622

6.934281

6.741759

6.913385

6.879251

6.832028

6.977436

7.475516

7.059128

1202.4310

Larisa Jonke

Athanasios Chatzistavrakidis and Larisa Jonke

Matrix theory compactifications on twisted tori

1+31 pages, v2: some comments and clarifications added, accepted for publication in Physical Review D

null

10.1103/PhysRevD.85.106013

null

hep-th

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

We study compactifications of Matrix theory on twisted tori and non-commutative versions of them. As a first step, we review the construction of multidimensional twisted tori realized as nilmanifolds based on certain nilpotent Lie algebras. Subsequently, matrix compactifications on tori are revisited and the previously known results are supplemented with a background of a non-commutative torus with non-constant non-commutativity and an underlying non-associative structure on its phase space. Next we turn our attention to 3- and 6-dimensional twisted tori and we describe consistent backgrounds of Matrix theory on them by stating and solving the conditions which describe the corresponding compactification. Both commutative and non-commutative solutions are found in all cases. Finally, we comment on the correspondence among the obtained solutions and flux compactifications of 11-dimensional supergravity, as well as on relations among themselves, such as Seiberg-Witten maps and T-duality.

[ { "created": "Mon, 20 Feb 2012 12:58:34 GMT", "version": "v1" }, { "created": "Mon, 14 May 2012 14:50:57 GMT", "version": "v2" } ]

2013-05-30

[ [ "Chatzistavrakidis", "Athanasios", "" ], [ "Jonke", "Larisa", "" ] ]

We study compactifications of Matrix theory on twisted tori and non-commutative versions of them. As a first step, we review the construction of multidimensional twisted tori realized as nilmanifolds based on certain nilpotent Lie algebras. Subsequently, matrix compactifications on tori are revisited and the previously known results are supplemented with a background of a non-commutative torus with non-constant non-commutativity and an underlying non-associative structure on its phase space. Next we turn our attention to 3- and 6-dimensional twisted tori and we describe consistent backgrounds of Matrix theory on them by stating and solving the conditions which describe the corresponding compactification. Both commutative and non-commutative solutions are found in all cases. Finally, we comment on the correspondence among the obtained solutions and flux compactifications of 11-dimensional supergravity, as well as on relations among themselves, such as Seiberg-Witten maps and T-duality.

9.130736

7.920962

8.474146

8.124143

8.463211

8.368938

8.46037

8.263048

7.85834

9.974353

7.947104

8.065331

8.805904

8.202674

8.537016

8.01681

8.18295

7.994658

8.074008

9.261411

8.055065

2401.17489

Aleksey Cherman

Aleksey Cherman, Theodore Jacobson, Srimoyee Sen, Laurence G. Yaffe

Line operators, vortex statistics, and Higgs versus confinement dynamics

39 pages. v2: fix minor issue with equation rendering

null

hep-th hep-lat

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

We study a $2{+}1$D lattice gauge theory with fundamental representation scalar fields which has both Higgs and confining regimes with a spontaneously-broken $U(1)$ $0$-form symmetry. We show that the Higgs and confining regimes may be distinguished by a natural gauge invariant observable: the phase $\Omega$ of a correlation function of a vortex line operator linking with an electric Wilson line. We employ dualities and strong coupling expansions to analytically explore parameter regimes which were inaccessible in previous continuum calculations, and discuss possible implications for the phase diagram.

[ { "created": "Tue, 30 Jan 2024 22:51:20 GMT", "version": "v1" }, { "created": "Mon, 12 Feb 2024 19:26:27 GMT", "version": "v2" } ]

2024-02-14

[ [ "Cherman", "Aleksey", "" ], [ "Jacobson", "Theodore", "" ], [ "Sen", "Srimoyee", "" ], [ "Yaffe", "Laurence G.", "" ] ]

We study a $2{+}1$D lattice gauge theory with fundamental representation scalar fields which has both Higgs and confining regimes with a spontaneously-broken $U(1)$ $0$-form symmetry. We show that the Higgs and confining regimes may be distinguished by a natural gauge invariant observable: the phase $\Omega$ of a correlation function of a vortex line operator linking with an electric Wilson line. We employ dualities and strong coupling expansions to analytically explore parameter regimes which were inaccessible in previous continuum calculations, and discuss possible implications for the phase diagram.

12.917994

12.533196

14.329525

12.730594

15.829788

13.08933

14.376807

14.162513

12.24467

16.796072

12.815048

13.061267

13.049995

13.052877

13.01742

13.153782

13.287708

12.929974

13.071659

13.566275

12.238485

hep-th/9111001

Tohru Eguchi

Tohru Eguchi (Enrico Fermi Institute, University of Chicago and Department of Physics, University of Tokyo)

Topological Field Theories and Space-Time Singularity

10 pages

Mod.Phys.Lett. A7 (1992) 85-92

10.1142/S0217732392000021

null

hep-th

null

Based on a study of recently proposed solution of 2 dim. black hole we argue that the space-time singularities of general relativity may be described by topological field theories (TFTs). We also argue that in general TFT is a field theory which decsribes singular configurations with a reduced holonomy in its field space.

[ { "created": "Fri, 1 Nov 1991 21:10:18 GMT", "version": "v1" } ]

2009-10-22

[ [ "Eguchi", "Tohru", "", "Enrico Fermi Institute, University of Chicago and\n Department of Physics, University of Tokyo" ] ]

Based on a study of recently proposed solution of 2 dim. black hole we argue that the space-time singularities of general relativity may be described by topological field theories (TFTs). We also argue that in general TFT is a field theory which decsribes singular configurations with a reduced holonomy in its field space.

20.277647

15.024032

18.216131

14.824161

14.740594

14.321943

15.635876

15.558364

15.189044

15.867764

14.165184

16.130743

17.216518

15.745252

16.115097

16.005285

16.534092

15.994466

16.062101

16.87476

15.550231

2306.16118

Zhong-Ying Fan

Generalised Krylov complexity

16pages,5 figures; minor corrections

null

hep-th

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

In this paper, we studied a set of generalised Krylov complexity for operator growth. We demonstrate their universal features at both initial times and long times using half-analytical technique as well as numerical results. In particular, by using the logarithmic relation to the Krylov entropy, we establish an inequality (\ref{master}) between the variance of the K-complexity and the generalised notions which holds in the long time limit. Extending the result to finite (but long) times, we show that for fast scramblers, the K-complexity constrains the growth of generalised complexity more stringently than the dispersion bound. However, for slow scramblers, the growth rate of K-complexity is tighter bounded by the generalised complexity in the other way around. Our results enlarge the zoo of Krylov quantities and may shed new light on the future research in this field.

[ { "created": "Wed, 28 Jun 2023 11:41:04 GMT", "version": "v1" }, { "created": "Fri, 11 Aug 2023 08:28:02 GMT", "version": "v2" }, { "created": "Mon, 11 Dec 2023 02:47:41 GMT", "version": "v3" } ]

2023-12-12

[ [ "Fan", "Zhong-Ying", "" ] ]

In this paper, we studied a set of generalised Krylov complexity for operator growth. We demonstrate their universal features at both initial times and long times using half-analytical technique as well as numerical results. In particular, by using the logarithmic relation to the Krylov entropy, we establish an inequality (\ref{master}) between the variance of the K-complexity and the generalised notions which holds in the long time limit. Extending the result to finite (but long) times, we show that for fast scramblers, the K-complexity constrains the growth of generalised complexity more stringently than the dispersion bound. However, for slow scramblers, the growth rate of K-complexity is tighter bounded by the generalised complexity in the other way around. Our results enlarge the zoo of Krylov quantities and may shed new light on the future research in this field.

13.443251

12.436905

13.385427

11.239559

13.008263

12.069886

12.009193

12.818247

12.339124

13.300564

11.993018

11.915229

12.844915

11.566128

11.70169

12.13521

11.597466

11.788986

12.22537

12.664945

11.978173

hep-th/0608200

Andrei Linde

Nemanja Kaloper, Lev Kofman, Andrei Linde and Viatcheslav Mukhanov

On the new string theory inspired mechanism of generation of cosmological perturbations

11 pages, 1 figure

JCAP 0610:006,2006

10.1088/1475-7516/2006/10/006

null

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

null

Recently a non-inflationary mechanism of generation of scale-free cosmological perturbations of metric was proposed by Brandenberger, Nayeri, and Vafa in the context of the string gas cosmology. We discuss various problems of their model and argue that the cosmological perturbations of metric produced in this model have blue spectrum with a spectral index n = 5, which strongly disagrees with observations. We conclude that this model in its present form is not a viable alternative to inflationary cosmology.

[ { "created": "Mon, 28 Aug 2006 19:56:23 GMT", "version": "v1" } ]

2009-11-11

[ [ "Kaloper", "Nemanja", "" ], [ "Kofman", "Lev", "" ], [ "Linde", "Andrei", "" ], [ "Mukhanov", "Viatcheslav", "" ] ]

Recently a non-inflationary mechanism of generation of scale-free cosmological perturbations of metric was proposed by Brandenberger, Nayeri, and Vafa in the context of the string gas cosmology. We discuss various problems of their model and argue that the cosmological perturbations of metric produced in this model have blue spectrum with a spectral index n = 5, which strongly disagrees with observations. We conclude that this model in its present form is not a viable alternative to inflationary cosmology.

6.554621

6.541992

6.309797

6.02339

6.468218

5.902051

6.669388

5.565906

5.612073

7.007485

5.900248

5.905362

6.151989

5.777661

5.888607

5.748783

5.886282

5.882694

5.967682

6.039664

5.56072

hep-th/0005209

Jerome Martin

Jerome Martin and Robert H. Brandenberger

The Trans-Planckian Problem of Inflationary Cosmology

16 pages, 2 figures. One important correction in the Corley/Jacobson case with b_m>0 and some misprints corrected. Version published in PRD

Phys.Rev.D63:123501,2001

10.1103/PhysRevD.63.123501

null

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

null

In most current models of inflation based on a weakly self-coupled scalar matter field minimally coupled to gravity, the period of inflation lasts so long that, at the beginning of the inflationary period, the physical wavelengths of comoving scales which correspond to the present large-scale structure of the Universe were smaller than the Planck length. Thus, the usual computations of the spectrum of fluctuations in these models involve extrapolating low energy physics (both in the matter and gravitational sector) into regions where this physics is not applicable. In this paper we demonstrate that the usual predictions of inflation for the spectrum of cosmological fluctuations do indeed depend on the hidden assumptions about super-Planck scale physics. We introduce a class of modified dispersion relations to mimic possible effects of super-Planck scale physics, and show that in some cases important deviations from the usual predictions of inflation are obtained. Some implications of this result for the unification of fundamental physics and early Universe cosmology are discussed.

[ { "created": "Tue, 23 May 2000 12:57:30 GMT", "version": "v1" }, { "created": "Tue, 15 May 2001 18:52:59 GMT", "version": "v2" } ]

2008-11-26

[ [ "Martin", "Jerome", "" ], [ "Brandenberger", "Robert H.", "" ] ]

In most current models of inflation based on a weakly self-coupled scalar matter field minimally coupled to gravity, the period of inflation lasts so long that, at the beginning of the inflationary period, the physical wavelengths of comoving scales which correspond to the present large-scale structure of the Universe were smaller than the Planck length. Thus, the usual computations of the spectrum of fluctuations in these models involve extrapolating low energy physics (both in the matter and gravitational sector) into regions where this physics is not applicable. In this paper we demonstrate that the usual predictions of inflation for the spectrum of cosmological fluctuations do indeed depend on the hidden assumptions about super-Planck scale physics. We introduce a class of modified dispersion relations to mimic possible effects of super-Planck scale physics, and show that in some cases important deviations from the usual predictions of inflation are obtained. Some implications of this result for the unification of fundamental physics and early Universe cosmology are discussed.

7.171756

7.189244

7.232686

6.954553

7.526556

7.659227

6.987548

7.187332

7.434775

7.350908

6.902441

7.272548

6.900161

6.787438

7.050929

6.815831

6.917116

6.945691

6.893459

7.004944

6.896028

hep-th/0610112

Zoltan Keresztes

Zolt\'an Keresztes, Ibolya K\'ep\'ir\'o

Irradiated closed Friedmann brane-worlds

7 pages, 4 figures, in Proceedings of the FIKUT4 Conference

Publ.Astron.Dep.Eotvos Univ., PADEU 17, 205-211 (2006)

null

hep-th

null

We consider the evolution of a closed Friedmann brane irradiated by a bulk black hole. Both absorption on the brane and transmission across the brane are allowed, the latter representing a generalization over a previously studied model. Without transmission, a critical behaviour could be observed, when the acceleration due to radiation pressure and the deceleration introduced by the increasing self-gravity of the brane roughly compensate each other. We show here that increasing transmission leads to the disappearance of the critical behaviour.

[ { "created": "Tue, 10 Oct 2006 12:56:15 GMT", "version": "v1" } ]

2016-08-16

[ [ "Keresztes", "Zoltán", "" ], [ "Képíró", "Ibolya", "" ] ]

We consider the evolution of a closed Friedmann brane irradiated by a bulk black hole. Both absorption on the brane and transmission across the brane are allowed, the latter representing a generalization over a previously studied model. Without transmission, a critical behaviour could be observed, when the acceleration due to radiation pressure and the deceleration introduced by the increasing self-gravity of the brane roughly compensate each other. We show here that increasing transmission leads to the disappearance of the critical behaviour.

12.530018

9.882166

11.49633

10.615331

12.054291

11.869361

12.601392

9.76449

11.127359

12.383947

11.382121

11.898324

11.180412

11.15675

11.888912

11.955315

11.982455

11.630217

12.004868

11.497108

11.933745

hep-th/0701230

Humberto Belich

H. Belich, T. Costa-Soares, J.A. Helayel-Neto, M.T.D. Orlando and R.C. Paschoal

N=1 Supersymetric Quantum Mechanics in a Scenario with Lorentz-Symmetry Violation

6 pages, no figures

Phys.Lett.A370:126-130,2007

10.1016/j.physleta.2007.05.055

null

hep-th

null

We show in this paper that the dynamics of a non-relativistic particle with spin, coupled to an external electromagnetic field and to a background that breaks Lorentz symmetry, is naturally endowed with an N=1-supersymmetry. This result is achieved in a superspace approach where the particle coordinates and the spin degrees of freedom are components of the same supermultiplet.

[ { "created": "Wed, 24 Jan 2007 20:40:59 GMT", "version": "v1" } ]

2008-11-26

[ [ "Belich", "H.", "" ], [ "Costa-Soares", "T.", "" ], [ "Helayel-Neto", "J. A.", "" ], [ "Orlando", "M. T. D.", "" ], [ "Paschoal", "R. C.", "" ] ]

We show in this paper that the dynamics of a non-relativistic particle with spin, coupled to an external electromagnetic field and to a background that breaks Lorentz symmetry, is naturally endowed with an N=1-supersymmetry. This result is achieved in a superspace approach where the particle coordinates and the spin degrees of freedom are components of the same supermultiplet.

7.150284

5.553905

7.491079

6.299019

5.893793

5.851262

5.753926

6.117616

5.908582

6.935284

6.123552

6.688727

6.879565

6.375347

6.300964

6.220103

6.389811

6.246661

6.222368

6.904997

6.303731

2007.02121

Marco Boers

Marco Boers and Elisabetta Pallante

Conserved vector current in QCD-like theories and the gradient flow

42 pages, 7 figures

null

10.1007/JHEP10(2020)034

null

hep-th hep-lat

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

We present analytical results for the Euclidean 2-point correlator of the flavor-singlet vector current evolved by the gradient flow at next-to-leading order ($O(g^2)$) in perturbatively massless QCD-like theories. We show that the evolved 2-point correlator requires multiplicative renormalization, in contrast to the nonevolved case, and confirm, in agreement with other results in the literature, that such renormalization ought to be identified with a universal renormalization of the evolved elementary fermion field in all evolved fermion-bilinear currents, whereas the gauge coupling renormalizes as usual. We explicitly derive the asymptotic solution of the Callan-Symanzik equation for the connected 2-point correlators of these evolved currents in the limit of small gradient-flow time $\sqrt{t}$, at fixed separation $|x-y|$. Incidentally, this computation determines the leading coefficient of the operator-product expansion (OPE) in the small $t$ limit for the evolved currents in terms of their local nonevolved counterpart. Our computation also implies that, in the evolved case, conservation of the vector current, hence transversality of the corresponding 2-point correlator, is no longer related to the nonrenormalization, in contrast to the nonevolved case. Indeed, for small flow time the evolved vector current is conserved up to $O(t)$ softly violating effects, despite its $t$-dependent nonvanishing anomalous dimension.

[ { "created": "Sat, 4 Jul 2020 15:11:07 GMT", "version": "v1" } ]

2020-10-28

[ [ "Boers", "Marco", "" ], [ "Pallante", "Elisabetta", "" ] ]

We present analytical results for the Euclidean 2-point correlator of the flavor-singlet vector current evolved by the gradient flow at next-to-leading order ($O(g^2)$) in perturbatively massless QCD-like theories. We show that the evolved 2-point correlator requires multiplicative renormalization, in contrast to the nonevolved case, and confirm, in agreement with other results in the literature, that such renormalization ought to be identified with a universal renormalization of the evolved elementary fermion field in all evolved fermion-bilinear currents, whereas the gauge coupling renormalizes as usual. We explicitly derive the asymptotic solution of the Callan-Symanzik equation for the connected 2-point correlators of these evolved currents in the limit of small gradient-flow time $\sqrt{t}$, at fixed separation $|x-y|$. Incidentally, this computation determines the leading coefficient of the operator-product expansion (OPE) in the small $t$ limit for the evolved currents in terms of their local nonevolved counterpart. Our computation also implies that, in the evolved case, conservation of the vector current, hence transversality of the corresponding 2-point correlator, is no longer related to the nonrenormalization, in contrast to the nonevolved case. Indeed, for small flow time the evolved vector current is conserved up to $O(t)$ softly violating effects, despite its $t$-dependent nonvanishing anomalous dimension.

8.68413

9.246282

10.147263

8.923587

9.610802

10.476161

9.537004

9.646891

9.239287

9.980045

8.994929

8.85915

8.682442

8.76068

8.59742

8.700539

9.018764

8.869527

8.507857

9.011346

8.678433

hep-th/9111021

null

Sumit R. Das, Avinash Dhar, Gautam Mandal and Spenta R. Wadia

Bosonization of Nonrelativistic Fermions and W-infinity Algebra

17 pages

Mod.Phys.Lett. A7 (1992) 71-84

10.1142/S021773239200344X

null

hep-th

null

We discuss the bosonization of non-relativistic fermions in one space dimension in terms of bilocal operators which are naturally related to the generators of $W$-infinity algebra. The resulting system is analogous to the problem of a spin in a magnetic field for the group $W$-infinity. The new dynamical variables turn out to be $W$-infinity group elements valued in the coset $W$-infinity/$H$ where $H$ is a Cartan subalgebra. A classical action with an $H$ gauge invariance is presented. This action is three-dimensional. It turns out to be similiar to the action that describes the colour degrees of freedom of a Yang-Mills particle in a fixed external field. We also discuss the relation of this action with the one we recently arrived at in the Euclidean continuation of the theory using different coordinates.

[ { "created": "Mon, 11 Nov 1991 16:33:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "Das", "Sumit R.", "" ], [ "Dhar", "Avinash", "" ], [ "Mandal", "Gautam", "" ], [ "Wadia", "Spenta R.", "" ] ]

We discuss the bosonization of non-relativistic fermions in one space dimension in terms of bilocal operators which are naturally related to the generators of $W$-infinity algebra. The resulting system is analogous to the problem of a spin in a magnetic field for the group $W$-infinity. The new dynamical variables turn out to be $W$-infinity group elements valued in the coset $W$-infinity/$H$ where $H$ is a Cartan subalgebra. A classical action with an $H$ gauge invariance is presented. This action is three-dimensional. It turns out to be similiar to the action that describes the colour degrees of freedom of a Yang-Mills particle in a fixed external field. We also discuss the relation of this action with the one we recently arrived at in the Euclidean continuation of the theory using different coordinates.

8.420021

8.428485

9.284483

8.199492

8.811196

8.1117

8.948198

8.25394

8.841583

10.091485

8.225211

8.388332

8.621563

8.190456

8.408049

8.410233

8.47688

8.040928

8.395838

8.576776

8.376138

1308.5834

A. Yu. Petrov

F. S. Gama, J. R. Nascimento, A. Yu. Petrov

On the effective superpotential in the generic higher-derivative three-dimensional scalar superfield theory

13 pages

Phys. Rev. D 88, 065029 (2013)

10.1103/PhysRevD.88.065029

null

hep-th

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

We formulate a generic three-dimensional higher-derivative superfield theory for self-interacting scalar superfield action. We consider the cases of real and complex scalar superfields. For these theories, we explicitly calculate the one-loop effective potential.

[ { "created": "Tue, 27 Aug 2013 12:01:39 GMT", "version": "v1" } ]

2013-09-30

[ [ "Gama", "F. S.", "" ], [ "Nascimento", "J. R.", "" ], [ "Petrov", "A. Yu.", "" ] ]

We formulate a generic three-dimensional higher-derivative superfield theory for self-interacting scalar superfield action. We consider the cases of real and complex scalar superfields. For these theories, we explicitly calculate the one-loop effective potential.

14.08238

8.45591

12.800376

9.677695

8.998837

8.579312

8.449934

9.598915

9.43649

14.16818

9.878471

11.691578

12.021595

10.568436

11.114677

11.399973

10.99049

11.134748

10.858881

12.331488

10.266332

hep-th/0602203

Daniel Litim

Peter Fischer and Daniel F. Litim

Fixed points of quantum gravity in extra dimensions

Wording sharpened, refs added, to appear in PLB

Phys.Lett.B638:497-502,2006

10.1016/j.physletb.2006.05.073

CERN-PH/TH-2005-257, SHEP-04-32, PITHA 05/20

hep-th gr-qc hep-ph

null

We study quantum gravity in more than four dimensions with renormalisation group methods. We find a non-trivial ultraviolet fixed point in the Einstein-Hilbert action. The fixed point connects with the perturbative infrared domain through finite renormalisation group trajectories. We show that our results for fixed points and related scaling exponents are stable. If this picture persists at higher order, quantum gravity in the metric field is asymptotically safe. We discuss signatures of the gravitational fixed point in models with low-scale gravity and compact extra dimensions.

[ { "created": "Tue, 21 Feb 2006 19:16:40 GMT", "version": "v1" }, { "created": "Fri, 16 Jun 2006 14:07:39 GMT", "version": "v2" } ]

2008-11-26

[ [ "Fischer", "Peter", "" ], [ "Litim", "Daniel F.", "" ] ]

We study quantum gravity in more than four dimensions with renormalisation group methods. We find a non-trivial ultraviolet fixed point in the Einstein-Hilbert action. The fixed point connects with the perturbative infrared domain through finite renormalisation group trajectories. We show that our results for fixed points and related scaling exponents are stable. If this picture persists at higher order, quantum gravity in the metric field is asymptotically safe. We discuss signatures of the gravitational fixed point in models with low-scale gravity and compact extra dimensions.

8.095838

7.801393

8.686564

8.866502

7.694272

8.746528

8.025946

8.631558

8.337833

9.550085

8.327896

8.779361

8.171781

8.659792

8.526462

8.968068

8.509757

8.313469

8.353122

8.766656

8.523727

hep-th/0210283

Skachkov

N.B.Skachkov

A remark about unitary representations of Lorentz group and an equation for zero mass particles

4 pages, latex

null

hep-th

null

In the present note the expansion of the wave function of a massless particle (with the definite value of its helicity) over the untary irreducible representaions of the Lorentz group (defined on the light cone) is used as for the analog of the Fourier transformation for deriving of an equation in the relativistic configuration representation.

[ { "created": "Tue, 29 Oct 2002 17:33:16 GMT", "version": "v1" } ]

2007-05-23

[ [ "Skachkov", "N. B.", "" ] ]

In the present note the expansion of the wave function of a massless particle (with the definite value of its helicity) over the untary irreducible representaions of the Lorentz group (defined on the light cone) is used as for the analog of the Fourier transformation for deriving of an equation in the relativistic configuration representation.

19.29649

19.636599

16.327215

15.711723

17.985235

18.559599

21.850729

16.833584

17.606825

19.693995

17.342844

17.52103

16.109324

17.248512

17.297012

17.548777

17.83606

17.073528

17.027256

17.007469

17.883438

1012.5094

Sujay Ashok

Sujay K. Ashok and Eleonora Dell'Aquila

On the Classification of Residues of the Grassmannian

20 pages

null

10.1007/JHEP10(2011)097

pi-strings-206

hep-th

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

We study leading singularities of scattering amplitudes which are obtained as residues of an integral over a Grassmannian manifold. We recursively do the transformation from twistors to momentum twistors and obtain an iterative formula for Yangian invariants that involves a succession of dualized twistor variables. This turns out to be useful in addressing the problem of classifying the residues of the Grassmannian. The iterative formula leads naturally to new coordinates on the Grassmannian in terms of which both composite and non-composite residues appear on an equal footing. We write down residue theorems in these new variables and classify the independent residues for some simple examples. These variables also explicitly exhibit the distinct solutions one expects to find for a given set of vanishing minors from Schubert calculus.

[ { "created": "Wed, 22 Dec 2010 20:52:10 GMT", "version": "v1" } ]

2015-05-20

[ [ "Ashok", "Sujay K.", "" ], [ "Dell'Aquila", "Eleonora", "" ] ]

We study leading singularities of scattering amplitudes which are obtained as residues of an integral over a Grassmannian manifold. We recursively do the transformation from twistors to momentum twistors and obtain an iterative formula for Yangian invariants that involves a succession of dualized twistor variables. This turns out to be useful in addressing the problem of classifying the residues of the Grassmannian. The iterative formula leads naturally to new coordinates on the Grassmannian in terms of which both composite and non-composite residues appear on an equal footing. We write down residue theorems in these new variables and classify the independent residues for some simple examples. These variables also explicitly exhibit the distinct solutions one expects to find for a given set of vanishing minors from Schubert calculus.

13.57993

14.317749

15.913394

12.802964

12.695325

13.272707

14.221443

13.411602

13.390059

15.298924

12.525822

13.277173

13.936311

13.445647

13.474443

13.061743

13.364991

13.440827

13.173972

14.236552

13.259382

hep-th/0508230

Gerry McKeon

F. Chishtie, M. Gagn\'e-Portelance, T. Hanif, S. Homayouni, D. G. C. McKeon

Radiative Corrections in a Vector-Tensor Model

null

Phys.Lett. B632 (2006) 445-448

10.1016/j.physletb.2005.10.032

null

hep-th

null

In a recently proposed model in which a vector non-Abelian gauge field interacts with an antisymmetric tensor field, it has been shown that the tensor field possesses no physical degrees of freedom. This formal demonstration is tested by computing the one-loop contributions of the tensor field to the self-energy of the vector field. It is shown that despite the large number of Feynman diagrams in which the tensor field contributes, the sum of these diagrams vanishes, confirming that it is not physical. Furthermore, if the tensor field were to couple with a spinor field, it is shown at one-loop order that the spinor self-energy is not renormalizable, and hence this coupling must be excluded. In principle though, this tensor field does couple to the gravitational field.

[ { "created": "Tue, 30 Aug 2005 17:45:56 GMT", "version": "v1" } ]

2009-11-11

[ [ "Chishtie", "F.", "" ], [ "Gagné-Portelance", "M.", "" ], [ "Hanif", "T.", "" ], [ "Homayouni", "S.", "" ], [ "McKeon", "D. G. C.", "" ] ]

In a recently proposed model in which a vector non-Abelian gauge field interacts with an antisymmetric tensor field, it has been shown that the tensor field possesses no physical degrees of freedom. This formal demonstration is tested by computing the one-loop contributions of the tensor field to the self-energy of the vector field. It is shown that despite the large number of Feynman diagrams in which the tensor field contributes, the sum of these diagrams vanishes, confirming that it is not physical. Furthermore, if the tensor field were to couple with a spinor field, it is shown at one-loop order that the spinor self-energy is not renormalizable, and hence this coupling must be excluded. In principle though, this tensor field does couple to the gravitational field.

6.557872

6.031514

6.312087

6.089427

6.017721

6.359418

6.149424

5.88439

5.753894

6.477498

6.288313

6.198869

6.278789

6.00071

5.985931

6.185776

6.016623

6.06003

6.104428

6.194639

6.211404

hep-th/0610018

Zengguang Huang

Z. G. Huang, H. Q. Lu and W. Fang

Dilaton Coupled Quintessence Model in the $\omega-\omega'$ Plane

7 pages, 4 figures, some references added

Int.J.Mod.Phys.D16:1109-1117,2007

10.1142/S0218271807010614

null

hep-th astro-ph gr-qc

null

In this paper, we regard dilaton in Weyl-scaled induced gravitational theory as a coupled quintessence. Based on this consideration, we investigate the dilaton coupled quintessence(DCQ) model in $\omega-\omega'$ plane, which is defined by the equation of state parameter for the dark energy and its derivative with respect to $N$(the logarithm of the scale factor $a$). We find the scalar field equation of motion in $\omega-\omega'$ plane, and show mathematically the property of attractor solutions which correspond to $\omega_\sigma\sim-1$, $\Omega_\sigma=1$. Finally, we find that our model is a tracking one which belongs to "freezing" type model classified in $\omega-\omega'$ plane.

[ { "created": "Sun, 1 Oct 2006 09:44:12 GMT", "version": "v1" }, { "created": "Fri, 10 Nov 2006 04:32:10 GMT", "version": "v2" } ]

2008-11-26

[ [ "Huang", "Z. G.", "" ], [ "Lu", "H. Q.", "" ], [ "Fang", "W.", "" ] ]

In this paper, we regard dilaton in Weyl-scaled induced gravitational theory as a coupled quintessence. Based on this consideration, we investigate the dilaton coupled quintessence(DCQ) model in $\omega-\omega'$ plane, which is defined by the equation of state parameter for the dark energy and its derivative with respect to $N$(the logarithm of the scale factor $a$). We find the scalar field equation of motion in $\omega-\omega'$ plane, and show mathematically the property of attractor solutions which correspond to $\omega_\sigma\sim-1$, $\Omega_\sigma=1$. Finally, we find that our model is a tracking one which belongs to "freezing" type model classified in $\omega-\omega'$ plane.

9.430584

9.362488

8.547529

8.122919

9.33539

9.034344

9.418671

7.489304

8.38131

9.23523

8.583806

8.518962

8.749673

8.339183

9.12411

8.689168

9.044394

8.575831

8.959113

8.538791

8.715487

0812.0513

El Hassan Saidi

Lalla Btissam Drissi, Houda Jehjouh, El Hassan Saidi

Refining the Shifted Topological Vertex

Latex, 14 pages, 2 figures. To appear in Jour Math Phys

J.Math.Phys.50:013509,2009

10.1063/1.3040186

Lab/UFR-HEP-0803-GNPHE-0803

hep-th

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

We study aspects of the refining and shifting properties of the 3d MacMahon function $\mathcal{C}_{3}(q) $ used in topological string theory and BKP hierarchy. We derive the explicit expressions of the shifted topological vertex $\mathcal{S}_{\lambda \mu \nu}(q) $ and its refined version $\mathcal{T}_{\lambda \mu \nu}(q,t) $. These vertices complete results in literature.

[ { "created": "Tue, 2 Dec 2008 16:13:59 GMT", "version": "v1" } ]

2009-02-10

[ [ "Drissi", "Lalla Btissam", "" ], [ "Jehjouh", "Houda", "" ], [ "Saidi", "El Hassan", "" ] ]

We study aspects of the refining and shifting properties of the 3d MacMahon function $\mathcal{C}_{3}(q) $ used in topological string theory and BKP hierarchy. We derive the explicit expressions of the shifted topological vertex $\mathcal{S}_{\lambda \mu \nu}(q) $ and its refined version $\mathcal{T}_{\lambda \mu \nu}(q,t) $. These vertices complete results in literature.

12.557464

10.6624

12.536938

10.61783

12.128199

11.519418

12.478067

11.041011

10.212636

12.34786

10.466098

10.187087

10.976933

10.546529

10.025161

10.229897

9.888694

10.239594

10.241208

11.285978

9.540161

2203.12556

Olalla Castro Alvaredo

Luca Capizzi, Olalla A. Castro-Alvaredo, Cecilia De Fazio, Michele Mazzoni and Luc\'ia Santamar\'ia-Sanz

Symmetry Resolved Entanglement of Excited States in Quantum Field Theory I: Free Theories, Twist Fields and Qubits

36 pages, 2 figures. Small improvements and added references in version 2

null

10.1007/JHEP12(2022)127

null

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

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

The excess entanglement resulting from exciting a finite number of quasiparticles above the ground state of a free integrable quantum field theory has been investigated quite extensively in the literature. It has been found that it takes a very simple form, depending only on the number of excitations and their statistics. There is now mounting evidence that such formulae also apply to interacting and even higher-dimensional quantum theories. In this paper we study the entanglement content of such zero-density excited states focusing on the symmetry resolved entanglement, that is on 1+1D quantum field theories that possess an internal symmetry. The ratio of charged moments between the excited and grounds states, from which the symmetry resolved entanglement entropy can be obtained, takes a very simple and universal form, which in addition to the number and statistics of the excitations, now depends also on the symmetry charge. Using form factor techniques, we obtain both the ratio of moments and the symmetry resolved entanglement entropies in complex free theories which possess $U(1)$ symmetry. The same formulae are found for simple qubit states.

[ { "created": "Wed, 23 Mar 2022 17:15:44 GMT", "version": "v1" }, { "created": "Mon, 28 Mar 2022 14:20:58 GMT", "version": "v2" }, { "created": "Fri, 15 Jul 2022 15:09:56 GMT", "version": "v3" } ]

2023-01-18

[ [ "Capizzi", "Luca", "" ], [ "Castro-Alvaredo", "Olalla A.", "" ], [ "De Fazio", "Cecilia", "" ], [ "Mazzoni", "Michele", "" ], [ "Santamaría-Sanz", "Lucía", "" ] ]

The excess entanglement resulting from exciting a finite number of quasiparticles above the ground state of a free integrable quantum field theory has been investigated quite extensively in the literature. It has been found that it takes a very simple form, depending only on the number of excitations and their statistics. There is now mounting evidence that such formulae also apply to interacting and even higher-dimensional quantum theories. In this paper we study the entanglement content of such zero-density excited states focusing on the symmetry resolved entanglement, that is on 1+1D quantum field theories that possess an internal symmetry. The ratio of charged moments between the excited and grounds states, from which the symmetry resolved entanglement entropy can be obtained, takes a very simple and universal form, which in addition to the number and statistics of the excitations, now depends also on the symmetry charge. Using form factor techniques, we obtain both the ratio of moments and the symmetry resolved entanglement entropies in complex free theories which possess $U(1)$ symmetry. The same formulae are found for simple qubit states.

9.628253

8.811011

10.781064

8.732234

8.815284

8.946684

9.128518

8.371243

8.870979

10.980427

9.201489

9.214314

9.63412

9.561682

9.450623

8.919735

9.315622

9.238702

9.436749

9.918355

8.970279

2312.13347

Craig Lawrie

Florent Baume and Craig Lawrie

The Bestiary of 6d (1,0) SCFTs: Nilpotent Orbits and Anomalies

69 pages + exhaustive appendices, 6 figures, 25 tables

null

DESY-23-204, ZMP-HH/23-20

hep-th

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

Many six-dimensional $(1,0)$ SCFTs are known to fall into families labelled by nilpotent orbits of certain simple Lie algebras. For each of the three infinite series of such families, we show that the anomalies for the continuous zero-form global symmetries of a theory labelled by a nilpotent orbit $O$ of $\mathfrak{g}$ can be determined from the anomalies of the theory associated to the trivial nilpotent orbit (the parent theory), together with the data of $O$. In particular, knowledge of the tensor branch field theory is bypassed completely. We show that the known anomalies, previously determined from the geometric/atomic construction, are reproduced by analyzing the Nambu--Goldstone modes inside of the moment map associated to the $\mathfrak{g}$ flavor symmetry of the parent SCFT. This provides further evidence for the physics underlying the labelling of the SCFTs by nilpotent orbits. We remark on some consequences, such as the reinterpretation of the 6d $a$-theorem for such SCFTs in terms of group theory.

[ { "created": "Wed, 20 Dec 2023 19:00:01 GMT", "version": "v1" } ]

2023-12-22

[ [ "Baume", "Florent", "" ], [ "Lawrie", "Craig", "" ] ]

Many six-dimensional $(1,0)$ SCFTs are known to fall into families labelled by nilpotent orbits of certain simple Lie algebras. For each of the three infinite series of such families, we show that the anomalies for the continuous zero-form global symmetries of a theory labelled by a nilpotent orbit $O$ of $\mathfrak{g}$ can be determined from the anomalies of the theory associated to the trivial nilpotent orbit (the parent theory), together with the data of $O$. In particular, knowledge of the tensor branch field theory is bypassed completely. We show that the known anomalies, previously determined from the geometric/atomic construction, are reproduced by analyzing the Nambu--Goldstone modes inside of the moment map associated to the $\mathfrak{g}$ flavor symmetry of the parent SCFT. This provides further evidence for the physics underlying the labelling of the SCFTs by nilpotent orbits. We remark on some consequences, such as the reinterpretation of the 6d $a$-theorem for such SCFTs in terms of group theory.

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