LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1904.01042

Evgeny Skvortsov D

Dmitry Ponomarev, Ergin Sezgin and Evgeny Skvortsov

On one loop corrections in higher spin gravity

25 pages, several figures; few comments added, the discussion of the incompleteness of Vasiliev equations reduced; replaced with the published version

null

10.1007/JHEP11(2019)138

null

hep-th

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

We propose an approach to compute one-loop corrections to the four-point amplitude in the higher spin gravities that are holographically dual to free $O(N)$, $U(N)$ and $USp(N)$ vector models. We compute the double-particle cut of one-loop diagrams by expressing them in terms of tree level four-point amplitudes. We then discuss how the remaining contributions to the complete one-loop diagram can be computed. With certain assumptions we find nontrivial evidence for the shift in the identification of the bulk coupling constant and $1/N$ in accordance with the previously established result for the vacuum energy.

[ { "created": "Mon, 1 Apr 2019 18:11:28 GMT", "version": "v1" }, { "created": "Tue, 28 Jan 2020 12:16:26 GMT", "version": "v2" } ]

2020-01-29

[ [ "Ponomarev", "Dmitry", "" ], [ "Sezgin", "Ergin", "" ], [ "Skvortsov", "Evgeny", "" ] ]

We propose an approach to compute one-loop corrections to the four-point amplitude in the higher spin gravities that are holographically dual to free $O(N)$, $U(N)$ and $USp(N)$ vector models. We compute the double-particle cut of one-loop diagrams by expressing them in terms of tree level four-point amplitudes. We then discuss how the remaining contributions to the complete one-loop diagram can be computed. With certain assumptions we find nontrivial evidence for the shift in the identification of the bulk coupling constant and $1/N$ in accordance with the previously established result for the vacuum energy.

9.166895

7.943065

11.026214

8.360879

8.590389

8.272874

7.824726

8.388247

8.052473

10.887317

8.484416

8.703458

9.557538

8.647211

8.949526

8.630778

8.766042

8.720877

8.650079

9.504094

9.036227

1802.06022

Alessio Maiezza

Alessio Maiezza and Juan Carlos Vasquez

Resummation and renormalons in a general Quantum Field Theory

19 pages, 5 figures, matched with final version accepted in Annals of Physics

null

10.1016/j.aop.2018.04.027

null

hep-th hep-ph

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

We generalize the concept of Borel resummability and renormalons to a quantum field theory with an arbitrary number of fields and couplings, starting from the known notion based on the running coupling constants. An approach to identify the renormalons is provided by exploiting an analytic solution of the generic one-loop renormalization group equations in multi-field theories. Methods to evaluate the regions in coupling space where the theory is resummable are described. The generalization is then illustrated in a toy model with two coupled scalar fields, representing the simplest extension of the one-field analysis presented in the seminal works of the subject. Furthermore, possible links to realistic theories are briefly discussed.

[ { "created": "Fri, 16 Feb 2018 16:46:47 GMT", "version": "v1" }, { "created": "Thu, 22 Feb 2018 12:21:50 GMT", "version": "v2" }, { "created": "Wed, 25 Apr 2018 11:16:39 GMT", "version": "v3" } ]

2018-08-01

[ [ "Maiezza", "Alessio", "" ], [ "Vasquez", "Juan Carlos", "" ] ]

We generalize the concept of Borel resummability and renormalons to a quantum field theory with an arbitrary number of fields and couplings, starting from the known notion based on the running coupling constants. An approach to identify the renormalons is provided by exploiting an analytic solution of the generic one-loop renormalization group equations in multi-field theories. Methods to evaluate the regions in coupling space where the theory is resummable are described. The generalization is then illustrated in a toy model with two coupled scalar fields, representing the simplest extension of the one-field analysis presented in the seminal works of the subject. Furthermore, possible links to realistic theories are briefly discussed.

12.11569

12.124084

11.993834

11.495875

12.532817

11.846126

11.346259

11.776592

12.058769

13.656807

11.253765

10.921996

11.512456

11.454246

10.985991

11.022155

11.242956

11.407294

11.320076

11.612346

11.323833

0706.1082

Alfredo Suzuki T

Alfredo Takashi Suzuki

Analytic result for the one-loop massless triangle Feynman diagram

Added reference 4 pages, 1 figure Extended abstract, added reference, added figure with caption, 5 pages, 2 figures

null

hep-th

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

Different mathematical methods have been applied to obtain the analytic result for the massless triangle Feynman diagram yielding a sum of four linearly independent hypergeometric functions $F_4$. In this paper I work out the diagram and show that that result, though mathematically sound, is not physically correct, because it misses a fundamental physical constraint imposed by the conservation of momentum, which should reduce by one the total number of linearly independent (l.i.) functions $F_4$ in the overall solution. Taking into account that the momenta flowing along the three legs of the diagram are constrained by momentum conservation, the number of overall l.i. functions that enter the most general solution must reduce accordingly. To determine the exact structure and content of the analytic solution for the three-point function, I use the analogy that exists between Feynman diagrams and electric circuit networks, in which the electric current flowing in the network plays the role of the momentum flowing in the lines of a Feynman diagram. This analogy is employed to define exactly which three out of the four hypergeometric functions are relevant to the analytic solution for the Feynman diagram. The analogy is built based on the equivalence between electric resistance circuit networks of type "Y" and "Delta" in which flows a conserved current. The equivalence is established via the theorem of minimum energy dissipation within circuits having these structures.

[ { "created": "Thu, 7 Jun 2007 20:49:43 GMT", "version": "v1" }, { "created": "Tue, 16 Oct 2007 02:52:06 GMT", "version": "v2" }, { "created": "Tue, 12 Aug 2008 12:43:32 GMT", "version": "v3" } ]

2008-08-12

[ [ "Suzuki", "Alfredo Takashi", "" ] ]

Different mathematical methods have been applied to obtain the analytic result for the massless triangle Feynman diagram yielding a sum of four linearly independent hypergeometric functions $F_4$. In this paper I work out the diagram and show that that result, though mathematically sound, is not physically correct, because it misses a fundamental physical constraint imposed by the conservation of momentum, which should reduce by one the total number of linearly independent (l.i.) functions $F_4$ in the overall solution. Taking into account that the momenta flowing along the three legs of the diagram are constrained by momentum conservation, the number of overall l.i. functions that enter the most general solution must reduce accordingly. To determine the exact structure and content of the analytic solution for the three-point function, I use the analogy that exists between Feynman diagrams and electric circuit networks, in which the electric current flowing in the network plays the role of the momentum flowing in the lines of a Feynman diagram. This analogy is employed to define exactly which three out of the four hypergeometric functions are relevant to the analytic solution for the Feynman diagram. The analogy is built based on the equivalence between electric resistance circuit networks of type "Y" and "Delta" in which flows a conserved current. The equivalence is established via the theorem of minimum energy dissipation within circuits having these structures.

9.678885

10.226954

10.354011

10.168684

10.863478

11.383777

11.322733

10.605171

9.692194

10.421698

9.815043

9.671647

9.59532

9.640126

9.667225

9.596196

9.5701

9.691168

9.602309

9.592532

9.546138

hep-th/0210208

changrim Ahn

Changrim Ahn, Chanju Kim, Chaiho Rim, M. Stanishkov

Duality in N=2 Super-Liouville Theory

8 pages

Phys.Rev. D69 (2004) 106011

10.1103/PhysRevD.69.106011

null

hep-th

null

In this paper we consider a strong-weak coupling duality of the N=2 super-Liouville field theory (SLFT). Without the self-duality found in other Liouville theories, the N=2 SLFT, we claim, is associated with a `dual' action by a transformation $b\to 1/b$ where $b$ is the coupling constant. To justify our conjecture, we compute the reflection amplitudes (or two-point functions) of the (NS) and the (R) operators of the N=2 SLFT based on the conjectured dual action and show that the results are consistent with known results.

[ { "created": "Tue, 22 Oct 2002 07:16:14 GMT", "version": "v1" } ]

2009-11-07

[ [ "Ahn", "Changrim", "" ], [ "Kim", "Chanju", "" ], [ "Rim", "Chaiho", "" ], [ "Stanishkov", "M.", "" ] ]

In this paper we consider a strong-weak coupling duality of the N=2 super-Liouville field theory (SLFT). Without the self-duality found in other Liouville theories, the N=2 SLFT, we claim, is associated with a `dual' action by a transformation $b\to 1/b$ where $b$ is the coupling constant. To justify our conjecture, we compute the reflection amplitudes (or two-point functions) of the (NS) and the (R) operators of the N=2 SLFT based on the conjectured dual action and show that the results are consistent with known results.

7.540718

6.129139

7.427315

6.328313

6.168707

6.486382

6.413427

6.392002

5.944593

7.796473

6.275987

6.424535

7.382184

6.570029

6.52906

6.652071

6.386615

6.645058

6.348298

6.980044

6.673322

hep-th/9405143

null

Dmitri V. Fursaev

Spectral Geometry and One-loop Divergences on Manifolds with Conical Singularities

preprint DSF-13/94, 13 pages, latex file

Phys.Lett. B334 (1994) 53-60

10.1016/0370-2693(94)90590-8

null

hep-th

null

Geometrical form of the one-loop divergences induced by conical singularities of background manifolds is studied. To this aim the heat kernel asymptotic expansion on spaces having the structure $C_{\alpha}\times \Sigma$ near singular surface $\Sigma$ is analysed. Surface corrections to standard second and third heat coefficients are obtained explicitly in terms of angle $\alpha$ of a cone $C_{\alpha}$ and components of the Riemann tensor. These results are compared to ones to be already known for some particular cases. Physical aspects of the surface divergences are shortly discussed.

[ { "created": "Sun, 22 May 1994 13:21:02 GMT", "version": "v1" } ]

2009-10-28

[ [ "Fursaev", "Dmitri V.", "" ] ]

Geometrical form of the one-loop divergences induced by conical singularities of background manifolds is studied. To this aim the heat kernel asymptotic expansion on spaces having the structure $C_{\alpha}\times \Sigma$ near singular surface $\Sigma$ is analysed. Surface corrections to standard second and third heat coefficients are obtained explicitly in terms of angle $\alpha$ of a cone $C_{\alpha}$ and components of the Riemann tensor. These results are compared to ones to be already known for some particular cases. Physical aspects of the surface divergences are shortly discussed.

12.356297

10.526468

11.60637

10.65645

12.40526

11.682159

11.285349

10.831351

11.619701

13.164358

11.210134

11.146539

11.679605

10.496208

10.96872

11.296682

10.713884

10.920942

10.315222

11.733552

10.390821

1312.0622

Roberto Volpato

Daniel Persson and Roberto Volpato

Second Quantized Mathieu Moonshine

91 pages. Theorem 5.3 added; presentation improved, comments and explanations added

Comm. Number Theory and Phys. 8 (1) 403--509 (2014)

null

AEI-2013-269

hep-th math.RT

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

We study the second quantized version of the twisted twining genera of generalized Mathieu moonshine, and prove that they give rise to Siegel modular forms with infinite product representations. Most of these forms are expected to have an interpretation as twisted partition functions counting 1/4 BPS dyons in type II superstring theory on K3\times T^2 or in heterotic CHL-models. We show that all these Siegel modular forms, independently of their possible physical interpretation, satisfy an "S-duality" transformation and a "wall-crossing formula". The latter reproduces all the eta-products of an older version of generalized Mathieu moonshine proposed by Mason in the '90s. Surprisingly, some of the Siegel modular forms we find coincide with the multiplicative (Borcherds) lifts of Jacobi forms in umbral moonshine.

[ { "created": "Mon, 2 Dec 2013 21:08:43 GMT", "version": "v1" }, { "created": "Tue, 14 Jan 2014 15:30:47 GMT", "version": "v2" }, { "created": "Tue, 11 Nov 2014 22:01:33 GMT", "version": "v3" } ]

2014-11-13

[ [ "Persson", "Daniel", "" ], [ "Volpato", "Roberto", "" ] ]

We study the second quantized version of the twisted twining genera of generalized Mathieu moonshine, and prove that they give rise to Siegel modular forms with infinite product representations. Most of these forms are expected to have an interpretation as twisted partition functions counting 1/4 BPS dyons in type II superstring theory on K3\times T^2 or in heterotic CHL-models. We show that all these Siegel modular forms, independently of their possible physical interpretation, satisfy an "S-duality" transformation and a "wall-crossing formula". The latter reproduces all the eta-products of an older version of generalized Mathieu moonshine proposed by Mason in the '90s. Surprisingly, some of the Siegel modular forms we find coincide with the multiplicative (Borcherds) lifts of Jacobi forms in umbral moonshine.

7.200678

8.213823

11.786471

8.69954

10.080176

9.340107

9.448982

8.633559

9.183301

12.421114

8.760277

7.891155

8.886685

8.127074

7.756958

7.893741

8.060335

8.096886

8.15517

8.618152

7.799062

hep-th/0111139

Stuart Dowker

J.S.Dowker (University of Manchester, Manchester, UK)

The Theory of Invariants and Interaction Symmetries

7 pages. Uses JyTeX. Reissue of a 1965 report

null

hep-th hep-ph math.AG

null

An application of the Gordan-Hilbert finite algebraic basis theorem is suggested.

[ { "created": "Thu, 15 Nov 2001 10:25:57 GMT", "version": "v1" } ]

2008-05-16

[ [ "Dowker", "J. S.", "", "University of Manchester, Manchester, UK" ] ]

An application of the Gordan-Hilbert finite algebraic basis theorem is suggested.

42.759998

43.837303

34.080185

59.517582

53.410698

26.695934

36.938511

42.512241

47.163876

42.604721

33.341927

30.961676

43.943474

40.69537

32.471897

31.472895

33.124161

29.67915

41.81884

29.030464

30.865568

0809.3773

Thomas Klose

Igor Klebanov, Thomas Klose, Arvind Murugan

AdS_4/CFT_3 -- Squashed, Stretched and Warped

32 pages, v2: references added, minor changes, v3: some clarifications, published version

JHEP03(2009)140

10.1088/1126-6708/2009/03/140

null

hep-th

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

We use group theoretic methods to calculate the spectrum of short multiplets around the extremum of N=8 gauged supergravity potential which possesses N=2 supersymmetry and SU(3) global symmetry. Upon uplifting to M-theory, it describes a warped product of AdS_4 and a certain squashed and stretched 7-sphere. We find quantum numbers in agreement with those of the gauge invariant operators in the N=2 superconformal Chern-Simons theory recently proposed to be the dual of this M-theory background. This theory is obtained from the U(N)xU(N) theory through deforming the superpotential by a term quadratic in one of the superfields. To construct this model explicitly, one needs to employ monopole operators whose complete understanding is still lacking. However, for the U(2)xU(2) gauge theory we make a proposal for the form of the monopole operators which has a number of desired properties. In particular, this proposal implies enhanced symmetry of the U(2)xU(2) ABJM theory for k=1,2; it makes its similarity to and subtle difference from the BLG theory quite explicit.

[ { "created": "Mon, 22 Sep 2008 19:30:47 GMT", "version": "v1" }, { "created": "Thu, 20 Nov 2008 18:40:44 GMT", "version": "v2" }, { "created": "Tue, 31 Mar 2009 14:47:03 GMT", "version": "v3" } ]

2009-11-13

[ [ "Klebanov", "Igor", "" ], [ "Klose", "Thomas", "" ], [ "Murugan", "Arvind", "" ] ]

We use group theoretic methods to calculate the spectrum of short multiplets around the extremum of N=8 gauged supergravity potential which possesses N=2 supersymmetry and SU(3) global symmetry. Upon uplifting to M-theory, it describes a warped product of AdS_4 and a certain squashed and stretched 7-sphere. We find quantum numbers in agreement with those of the gauge invariant operators in the N=2 superconformal Chern-Simons theory recently proposed to be the dual of this M-theory background. This theory is obtained from the U(N)xU(N) theory through deforming the superpotential by a term quadratic in one of the superfields. To construct this model explicitly, one needs to employ monopole operators whose complete understanding is still lacking. However, for the U(2)xU(2) gauge theory we make a proposal for the form of the monopole operators which has a number of desired properties. In particular, this proposal implies enhanced symmetry of the U(2)xU(2) ABJM theory for k=1,2; it makes its similarity to and subtle difference from the BLG theory quite explicit.

8.354837

7.000772

9.839289

7.391243

7.369271

7.270708

7.552704

7.318602

7.328027

9.861312

7.441715

7.499725

8.382399

7.702458

7.346395

7.572825

7.471249

7.230511

7.638141

8.589359

7.415255

hep-th/0312197

Anatoly Konechny

Daniel Friedan and Anatoly Konechny

On the Boundary Entropy of One-dimensional Quantum Systems at Low Temperature

12 pages, Latex, 1 eps-figure; v2: some expository material added, a slightly more condensed version of the paper is publihed in Phys. Rev. Lett

Phys.Rev.Lett. 93 (2004) 030402

10.1103/PhysRevLett.93.030402

RU-NHETC-2003-39

hep-th cond-mat.stat-mech

null

The boundary beta-function generates the renormalization group acting on the universality classes of one-dimensional quantum systems with boundary which are critical in the bulk but not critical at the boundary. We prove a gradient formula for the boundary beta-function, expressing it as the gradient of the boundary entropy s at fixed non-zero temperature. The gradient formula implies that s decreases under renormalization except at critical points (where it stays constant). At a critical point, the number exp(s) is the ``ground-state degeneracy,'' g, of Affleck and Ludwig, so we have proved their long-standing conjecture that g decreases under renormalization, from critical point to critical point. The gradient formula also implies that s decreases with temperature except at critical points, where it is independent of temperature. The boundary thermodynamic energy u then also decreases with temperature. It remains open whether the boundary entropy of a 1-d quantum system is always bounded below. If s is bounded below, then u is also bounded below.

[ { "created": "Tue, 16 Dec 2003 21:59:29 GMT", "version": "v1" }, { "created": "Fri, 6 Aug 2004 11:03:42 GMT", "version": "v2" } ]

2009-11-10

[ [ "Friedan", "Daniel", "" ], [ "Konechny", "Anatoly", "" ] ]

The boundary beta-function generates the renormalization group acting on the universality classes of one-dimensional quantum systems with boundary which are critical in the bulk but not critical at the boundary. We prove a gradient formula for the boundary beta-function, expressing it as the gradient of the boundary entropy s at fixed non-zero temperature. The gradient formula implies that s decreases under renormalization except at critical points (where it stays constant). At a critical point, the number exp(s) is the ``ground-state degeneracy,'' g, of Affleck and Ludwig, so we have proved their long-standing conjecture that g decreases under renormalization, from critical point to critical point. The gradient formula also implies that s decreases with temperature except at critical points, where it is independent of temperature. The boundary thermodynamic energy u then also decreases with temperature. It remains open whether the boundary entropy of a 1-d quantum system is always bounded below. If s is bounded below, then u is also bounded below.

8.45076

9.51186

10.438103

8.838822

10.885085

9.24369

8.905704

9.615707

8.773575

9.869907

8.530083

8.326685

8.823181

8.356045

8.15539

8.438484

8.302007

8.445303

8.310481

9.079933

8.322228

hep-th/0412304

Ali Nayeri

Ali Nayeri and Tuan Tran

On the Stability of Anti-de Sitter Spacetime

13 pages, no figure

null

hep-th gr-qc hep-ph

null

We present a detailed analysis for the classical stability of a four dimensional Anti-de Sitter spacetime (AdS$_4$) by decomposing the first-order perturbations of a spherical symmetric gravitational field into the so called tensor harmonics which transform as irreducible representative of the rotation group (Regge-Wheeler decomposition). It is shown that there is no nontrivial stationary perturbation for the angular momentum $l < 2$. The stability analysis forces the frequency of the gravitational modes to be constrained in a way that the frequency of scalar modes are constrained.

[ { "created": "Mon, 27 Dec 2004 07:51:33 GMT", "version": "v1" } ]

2007-05-23

[ [ "Nayeri", "Ali", "" ], [ "Tran", "Tuan", "" ] ]

We present a detailed analysis for the classical stability of a four dimensional Anti-de Sitter spacetime (AdS$_4$) by decomposing the first-order perturbations of a spherical symmetric gravitational field into the so called tensor harmonics which transform as irreducible representative of the rotation group (Regge-Wheeler decomposition). It is shown that there is no nontrivial stationary perturbation for the angular momentum $l < 2$. The stability analysis forces the frequency of the gravitational modes to be constrained in a way that the frequency of scalar modes are constrained.

10.715027

10.834092

10.610853

10.502422

10.826372

11.017145

11.442998

10.599903

10.501258

10.527018

10.688642

10.465998

10.101145

10.409085

9.936351

10.376308

10.183869

10.371254

10.254439

9.968695

10.129103

hep-th/9303006

Ryuichi Nakayama

Hikaru Kawai and Ryuichi Nakayama

Quantum $R^2$ Gravity in Two Dimensions

12 pages, latex KEK-TH-355, KEK preprint 92-212, UT-634

Phys.Lett. B306 (1993) 224-232

10.1016/0370-2693(93)90072-P

null

hep-th

null

Two-dimensional quantum gravity with an $R^2$ term is investigated in the continuum framework. It is shown that the partition function for small area $A$ is highly suppressed by an exponential factor $exp \{ -2\pi (1-h)^2/(m^2A) \}$, where $1/m^2$ is the coefficient (times $32\pi$) of $R^2$ and $h$ is the genus of the surface. Although positivity is violated, at a short distance scale ( $\ll 1/m$) surfaces are smooth and the problem of the branched polymer is avoided.

[ { "created": "Tue, 2 Mar 1993 04:30:09 GMT", "version": "v1" } ]

2009-10-22

[ [ "Kawai", "Hikaru", "" ], [ "Nakayama", "Ryuichi", "" ] ]

Two-dimensional quantum gravity with an $R^2$ term is investigated in the continuum framework. It is shown that the partition function for small area $A$ is highly suppressed by an exponential factor $exp \{ -2\pi (1-h)^2/(m^2A) \}$, where $1/m^2$ is the coefficient (times $32\pi$) of $R^2$ and $h$ is the genus of the surface. Although positivity is violated, at a short distance scale ( $\ll 1/m$) surfaces are smooth and the problem of the branched polymer is avoided.

10.108656

9.601714

8.965837

8.890072

9.452744

9.691764

10.379947

8.817789

9.187887

10.260152

9.191588

8.732264

8.867588

8.707206

8.921427

8.736458

8.563246

8.487986

8.66288

8.677469

8.485328

1603.04216

George Moutsopoulos

Quarter-BPS solutions in three-dimensional N=16 supergravity and the Liouville equation

30 pages, minor cosmetic changes, to appear in PRD

Phys. Rev. D 94, 025013 (2016)

10.1103/PhysRevD.94.025013

null

hep-th

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

We show how by assuming at least 8 real timelike supersymmetries in the maximally supersymmetric three-dimensional ungauged supergravity and a further simplifying Ansatz, we are naturally led to a pair of Liouville field equations. We also show that there are no solutions that preserve only 6 real timelike supersymmetries. The solution relies on the classification of complex spinors of Spin(8) to which the problem quickly reduces.

[ { "created": "Mon, 14 Mar 2016 11:44:51 GMT", "version": "v1" }, { "created": "Fri, 1 Jul 2016 19:21:05 GMT", "version": "v2" } ]

2016-07-13

[ [ "Moutsopoulos", "George", "" ] ]

We show how by assuming at least 8 real timelike supersymmetries in the maximally supersymmetric three-dimensional ungauged supergravity and a further simplifying Ansatz, we are naturally led to a pair of Liouville field equations. We also show that there are no solutions that preserve only 6 real timelike supersymmetries. The solution relies on the classification of complex spinors of Spin(8) to which the problem quickly reduces.

13.147166

13.138918

15.462609

12.43542

12.503222

13.326952

13.227333

12.860406

12.646099

16.198565

12.216358

12.40809

13.425592

12.677156

12.197055

12.623644

12.698071

12.473143

13.110956

14.029462

12.353446

1407.6372

Omrie Ovdat

O. Ovdat and A. Yarom

A modulated shear to entropy ratio

38 pages, 2 figures; v2: added reference, minor correction

null

10.1007/JHEP11(2014)019

null

hep-th

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

We study correlation functions in an equilibrated spatially modulated phase of Einstein-Maxwell two-derivative gravity. We find that the ratio of the appropriate low frequency limit of the stress-stress two point function to the entropy density is modulated. The conductivity, the stress-current and current-stress correlation functions are also modulated. At temperatures close to the phase transition we obtain analytic expressions for some of the correlation functions.

[ { "created": "Wed, 23 Jul 2014 20:02:42 GMT", "version": "v1" }, { "created": "Wed, 3 Sep 2014 12:41:45 GMT", "version": "v2" } ]

2015-01-29

[ [ "Ovdat", "O.", "" ], [ "Yarom", "A.", "" ] ]

We study correlation functions in an equilibrated spatially modulated phase of Einstein-Maxwell two-derivative gravity. We find that the ratio of the appropriate low frequency limit of the stress-stress two point function to the entropy density is modulated. The conductivity, the stress-current and current-stress correlation functions are also modulated. At temperatures close to the phase transition we obtain analytic expressions for some of the correlation functions.

11.182156

11.018761

13.708597

10.853047

11.935302

11.006082

11.13233

10.573172

10.042333

15.090006

10.794128

10.17278

11.632674

10.010671

9.746425

9.959047

9.854894

10.478239

9.973568

11.395206

9.96858

2003.05662

Yuji Sugimoto

Yasuyuki Hatsuda, Yuji Sugimoto

Bloch electrons on honeycomb lattice and toric Calabi-Yau geometry

18 pages, 2 figures; v2 : Asymmetric hopping case added, some typos fixed, reference and clarifications added, published in JHEP

JHEP05(2020)026

10.1007/JHEP05(2020)026

RUP-20-7, USTC-ICTS/PCFT-20-10

hep-th

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

We find a new relation between the spectral problem for Bloch electrons on a two-dimensional honeycomb lattice in a uniform magnetic field and that for quantum geometry of a toric Calabi-Yau threefold. We show that a difference equation for the Bloch electron is identical to a quantum mirror curve of the Calabi-Yau threefold. As an application, we show that bandwidths of the electron spectra in the weak magnetic flux regime are systematically calculated by the topological string free energies at conifold singular points in the Nekrasov-Shatashvili limit.

[ { "created": "Thu, 12 Mar 2020 08:36:44 GMT", "version": "v1" }, { "created": "Sat, 9 May 2020 09:41:27 GMT", "version": "v2" } ]

2020-06-24

[ [ "Hatsuda", "Yasuyuki", "" ], [ "Sugimoto", "Yuji", "" ] ]

We find a new relation between the spectral problem for Bloch electrons on a two-dimensional honeycomb lattice in a uniform magnetic field and that for quantum geometry of a toric Calabi-Yau threefold. We show that a difference equation for the Bloch electron is identical to a quantum mirror curve of the Calabi-Yau threefold. As an application, we show that bandwidths of the electron spectra in the weak magnetic flux regime are systematically calculated by the topological string free energies at conifold singular points in the Nekrasov-Shatashvili limit.

8.148302

6.151182

9.261373

6.360789

6.614275

6.443618

6.856438

6.56161

6.295153

10.373009

6.458457

6.936418

8.349607

7.08974

7.076686

6.922181

6.628318

7.000482

7.027735

8.528716

7.068825

1101.0491

Frederic P. Schuller

Sergio Rivera, Frederic P. Schuller

Quantization of general linear electrodynamics

23 pages, 1 figure

Phys.Rev.D83:064036,2011

10.1103/PhysRevD.83.064036

AEI-2011-000

hep-th gr-qc

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

General linear electrodynamics allow for an arbitrary linear constitutive relation between the field strength two-form and induction two-form density if crucial hyperbolicity and energy conditions are satisfied, which render the theory predictive and physically interpretable. Taking into account the higher-order polynomial dispersion relation and associated causal structure of general linear electrodynamics, we carefully develop its Hamiltonian formulation from first principles. Canonical quantization of the resulting constrained system then results in a quantum vacuum which is sensitive to the constitutive tensor of the classical theory. As an application we calculate the Casimir effect in a bi-refringent linear optical medium.

[ { "created": "Mon, 3 Jan 2011 11:13:16 GMT", "version": "v1" } ]

2011-05-10

[ [ "Rivera", "Sergio", "" ], [ "Schuller", "Frederic P.", "" ] ]

General linear electrodynamics allow for an arbitrary linear constitutive relation between the field strength two-form and induction two-form density if crucial hyperbolicity and energy conditions are satisfied, which render the theory predictive and physically interpretable. Taking into account the higher-order polynomial dispersion relation and associated causal structure of general linear electrodynamics, we carefully develop its Hamiltonian formulation from first principles. Canonical quantization of the resulting constrained system then results in a quantum vacuum which is sensitive to the constitutive tensor of the classical theory. As an application we calculate the Casimir effect in a bi-refringent linear optical medium.

12.502399

12.587111

11.69569

11.420689

13.447337

13.956337

13.831968

12.328546

12.072549

12.444066

12.053739

11.996153

11.266713

11.057082

11.875319

11.483132

11.887144

11.192411

11.991552

11.369856

11.516584

2301.03203

Shanquan Lan

Shanquan Lan, Xin Li, Jiexiong Mo, Yu Tian, Yu-Kun Yan, Peng Yang, Hongbao Zhang

Splitting of doubly quantized vortices in holographic superfluid of finite temperature

21 pages, 9 figures, references added, clarifications made, typos corrected, version to appear in JHEP

null

10.1007/JHEP05(2023)223

null

hep-th cond-mat.quant-gas

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

The temperature effect on the linear instability and the splitting process of a doubly quantized vortex is studied. Using the linear perturbation theory to calculate out the quasi-normal modes of the doubly quantized vortex, we find that the imaginary part of the unstable mode increases with the temperature till some turning temperature, after which the imaginary part of the unstable mode decreases with the temperature. On the other hand, by the fully non-linear numerical simulations, we also examine the real time splitting process of the doubly quantized vortex, where not only do the split singly quantized vortex pair depart from each other, but also revolve around each other. In particular, the characteristic time scale for the splitting process is identified and its temperature dependence is found to be in good agreement with the linear instability analysis in the sense that the larger the imaginary part of the unstable mode is, the longer the splitting time is. Such a temperature effect is expected to be verified in the cold atom experiments in the near future.

[ { "created": "Mon, 9 Jan 2023 08:36:41 GMT", "version": "v1" }, { "created": "Tue, 16 May 2023 13:27:05 GMT", "version": "v2" } ]

2023-06-02

[ [ "Lan", "Shanquan", "" ], [ "Li", "Xin", "" ], [ "Mo", "Jiexiong", "" ], [ "Tian", "Yu", "" ], [ "Yan", "Yu-Kun", "" ], [ "Yang", "Peng", "" ], [ "Zhang", "Hongbao", "" ] ]

The temperature effect on the linear instability and the splitting process of a doubly quantized vortex is studied. Using the linear perturbation theory to calculate out the quasi-normal modes of the doubly quantized vortex, we find that the imaginary part of the unstable mode increases with the temperature till some turning temperature, after which the imaginary part of the unstable mode decreases with the temperature. On the other hand, by the fully non-linear numerical simulations, we also examine the real time splitting process of the doubly quantized vortex, where not only do the split singly quantized vortex pair depart from each other, but also revolve around each other. In particular, the characteristic time scale for the splitting process is identified and its temperature dependence is found to be in good agreement with the linear instability analysis in the sense that the larger the imaginary part of the unstable mode is, the longer the splitting time is. Such a temperature effect is expected to be verified in the cold atom experiments in the near future.

7.205165

7.024541

7.062333

6.323787

7.156332

7.11009

6.838149

6.593892

6.884853

7.579929

6.6254

6.669769

6.85613

6.608272

6.83705

6.810751

6.814652

6.990274

6.827207

6.806225

6.716196

hep-th/0312161

Bumseok Kyae

Bumseok Kyae (Bartol Research Inst.)

Einstein Gravity on a Brane in 5D Non-compact Flat Spacetime -DGP model revisited-

1+12 pages, no figure, to appear in JHEP

JHEP 0403:038,2004

10.1088/1126-6708/2004/03/038

BA-03-19

hep-th hep-ph

null

We revisit the 5D gravity model by Dvali, Gabadadze, and Porrati (DGP). Within their framework it was shown that even in 5D non-compact Minkowski space $(x^\mu,z)$, the Newtonian gravity can emerge on a brane at short distances by introducing a brane-localized 4D Einstein-Hilbert term $\delta(z)M_4^2\sqrt{|\bar{g}_4|}\bar{R}_4$ in the action. Based on this idea, we construct simple setups in which graviton standing waves can arise, and we introduce brane-localized $z$ derivative terms as a correction to $\delta(z)M_4^2\sqrt{|\bar{g}_4|}\bar{R}_4$. We show that the gravity potential of brane matter becomes $-\frac{1}{r}$ at {\it long} distances, because the brane-localized $z$ derivative terms allow only a smooth graviton wave function near the brane. Since the bulk gravity coupling may be arbitrarily small, strongly interacting modes from the 5D graviton do not appear. We note that the brane metric utilized to construct $\delta(z)M_4^2\sqrt{|\bar{g}_4|}\bar{R}_4$ can be relatively different from the bulk metric by a conformal factor, and show that the graviton tensor structure that the 4D Einstein gravity predicts are reproduced in DGP type models.

[ { "created": "Mon, 15 Dec 2003 19:32:46 GMT", "version": "v1" }, { "created": "Tue, 16 Dec 2003 00:55:14 GMT", "version": "v2" }, { "created": "Mon, 22 Dec 2003 19:55:09 GMT", "version": "v3" }, { "created": "Tue, 20 Jan 2004 20:55:43 GMT", "version": "v4" }, { "created": "Tue, 23 Mar 2004 20:04:56 GMT", "version": "v5" } ]

2011-05-12

[ [ "Kyae", "Bumseok", "", "Bartol Research Inst." ] ]

We revisit the 5D gravity model by Dvali, Gabadadze, and Porrati (DGP). Within their framework it was shown that even in 5D non-compact Minkowski space $(x^\mu,z)$, the Newtonian gravity can emerge on a brane at short distances by introducing a brane-localized 4D Einstein-Hilbert term $\delta(z)M_4^2\sqrt{|\bar{g}_4|}\bar{R}_4$ in the action. Based on this idea, we construct simple setups in which graviton standing waves can arise, and we introduce brane-localized $z$ derivative terms as a correction to $\delta(z)M_4^2\sqrt{|\bar{g}_4|}\bar{R}_4$. We show that the gravity potential of brane matter becomes $-\frac{1}{r}$ at {\it long} distances, because the brane-localized $z$ derivative terms allow only a smooth graviton wave function near the brane. Since the bulk gravity coupling may be arbitrarily small, strongly interacting modes from the 5D graviton do not appear. We note that the brane metric utilized to construct $\delta(z)M_4^2\sqrt{|\bar{g}_4|}\bar{R}_4$ can be relatively different from the bulk metric by a conformal factor, and show that the graviton tensor structure that the 4D Einstein gravity predicts are reproduced in DGP type models.

6.732549

7.631612

6.960329

6.913303

7.450025

7.637946

7.241518

7.82982

6.696335

8.048003

6.90536

6.732561

6.781408

6.629378

6.7118

6.875273

6.749764

6.645568

6.672246

6.838998

6.551088

1106.4675

Timothy J. Hollowood

Ross Stanley and Timothy J. Hollowood

Graviton Propagation and Vacuum Polarization in Curved Space

21 pages, typos corrected

null

10.1007/JHEP10(2011)096

null

hep-th

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

The effects of vacuum polarization arising from loops of massive scalar particles on graviton propagation in curved space are considered. Physically, they are due to curvature induced tidal forces acting on the cloud of virtual scalar particles surrounding the graviton. The effects are tractable in a WKB and large mass limit and the results can be written as an effective refractive index for the graviton modes with both a real and imaginary part. The imaginary part of the refractive index is a curvature induced contribution to the wavefunction renormalization of the graviton in real affine time and can have the effect of dressing or un-dressing the graviton. The real part of the refractive index increases logarithmically at high frequency as long as the null energy condition is satisfied by the background.

[ { "created": "Thu, 23 Jun 2011 10:25:04 GMT", "version": "v1" }, { "created": "Sat, 24 Sep 2011 18:01:12 GMT", "version": "v2" } ]

2015-05-28

[ [ "Stanley", "Ross", "" ], [ "Hollowood", "Timothy J.", "" ] ]

The effects of vacuum polarization arising from loops of massive scalar particles on graviton propagation in curved space are considered. Physically, they are due to curvature induced tidal forces acting on the cloud of virtual scalar particles surrounding the graviton. The effects are tractable in a WKB and large mass limit and the results can be written as an effective refractive index for the graviton modes with both a real and imaginary part. The imaginary part of the refractive index is a curvature induced contribution to the wavefunction renormalization of the graviton in real affine time and can have the effect of dressing or un-dressing the graviton. The real part of the refractive index increases logarithmically at high frequency as long as the null energy condition is satisfied by the background.

9.585317

10.301128

9.872115

9.159076

9.874332

10.62616

9.97986

9.687999

9.316791

10.575811

10.27998

9.785003

8.955338

9.206471

9.363124

9.33057

9.192103

9.360124

9.260569

8.887236

9.307365

hep-th/0007060

Andrew Chamblin

A. Chamblin, A. Karch, A. Nayeri (MIT)

Thermal Equilibration of Brane-Worlds

4 pages REVTeX. The basic argument is simplified. Version to appear in Physics Letters B

Phys.Lett. B509 (2001) 163-167

10.1016/S0370-2693(01)00535-4

CTP preprint 2998

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

null

We analyze the thermodynamical properties of brane-worlds, with a focus on the second model of Randall and Sundrum. We point out that during an inflationary phase on the brane, black holes will tend to be thermally nucleated in the bulk. This leads us to ask the question: Can the black hole - brane-world system evolve towards a configuration of thermal equilibrium? To answer this, we generalize the second Randall-Sundrum scenario to allow for non-static bulk regions on each side of the brane-world. Explicitly, we take the bulk to be a {\it Vaidya-AdS} metric, which describes the gravitational collapse of a spherically symmetric null dust fluid in Anti-de Sitter spacetime. Using the background subtraction technique to calculate the Euclidean action, we argue that at late times a sufficiently large black hole will relax to a point of thermal equilibrium with the brane-world environment. These results have interesting implications for early-universe cosmology.

[ { "created": "Fri, 7 Jul 2000 19:19:03 GMT", "version": "v1" }, { "created": "Sat, 28 Apr 2001 20:15:48 GMT", "version": "v2" } ]

2009-10-31

[ [ "Chamblin", "A.", "", "MIT" ], [ "Karch", "A.", "", "MIT" ], [ "Nayeri", "A.", "", "MIT" ] ]

We analyze the thermodynamical properties of brane-worlds, with a focus on the second model of Randall and Sundrum. We point out that during an inflationary phase on the brane, black holes will tend to be thermally nucleated in the bulk. This leads us to ask the question: Can the black hole - brane-world system evolve towards a configuration of thermal equilibrium? To answer this, we generalize the second Randall-Sundrum scenario to allow for non-static bulk regions on each side of the brane-world. Explicitly, we take the bulk to be a {\it Vaidya-AdS} metric, which describes the gravitational collapse of a spherically symmetric null dust fluid in Anti-de Sitter spacetime. Using the background subtraction technique to calculate the Euclidean action, we argue that at late times a sufficiently large black hole will relax to a point of thermal equilibrium with the brane-world environment. These results have interesting implications for early-universe cosmology.

7.560902

7.588911

7.868436

7.167309

7.182755

7.753474

7.505514

7.230097

7.42672

7.609722

7.362512

7.386564

7.672696

7.359678

7.385682

7.437731

7.367987

7.047645

7.388519

7.55615

7.320067

0912.4759

Carlo Ewerz

Jochen Bartels, Carlo Ewerz, Martin Hentschinski, Anna-Maria Mischler

High Energy Behavior of a Six-Point R-Current Correlator in N=4 Supersymmetric Yang-Mills Theory

47 pages

JHEP 1005:018,2010

10.1007/JHEP05(2010)018

DESY-09-200, HD-THEP-08-11, BI-TP 2009/27, ECT*-07-07

hep-th hep-ph

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

We study the high energy limit of a six-point R-current correlator in N=4 supersymmetric Yang-Mills theory for finite N_c. We make use of the framework of perturbative resummation of large logarithms of the energy. More specifically, we apply the (extended) generalized leading logarithmic approximation. We find that the same conformally invariant two-to-four gluon vertex occurs as in non-supersymmetric Yang-Mills theory. As a new feature we find a direct coupling of the four-gluon t-channel state to the R-current impact factor.

[ { "created": "Thu, 24 Dec 2009 00:33:16 GMT", "version": "v1" } ]

2010-05-12

[ [ "Bartels", "Jochen", "" ], [ "Ewerz", "Carlo", "" ], [ "Hentschinski", "Martin", "" ], [ "Mischler", "Anna-Maria", "" ] ]

We study the high energy limit of a six-point R-current correlator in N=4 supersymmetric Yang-Mills theory for finite N_c. We make use of the framework of perturbative resummation of large logarithms of the energy. More specifically, we apply the (extended) generalized leading logarithmic approximation. We find that the same conformally invariant two-to-four gluon vertex occurs as in non-supersymmetric Yang-Mills theory. As a new feature we find a direct coupling of the four-gluon t-channel state to the R-current impact factor.

7.817175

8.471508

7.743982

7.192663

7.871343

7.729716

7.836962

8.214435

7.346725

8.398709

7.919959

8.812129

7.676976

7.852716

7.88284

8.167388

7.642859

8.44036

7.531558

7.643407

7.854995

hep-th/0511011

Igor Kriz

Igor Kriz, Hao Xing

On effective F-theory action in type IIA compactifications

Some terminological clarifications, references added

Int.J.Mod.Phys.A22:1279-1300,2007

10.1142/S0217751X0703532X

null

hep-th

null

Diaconescu, Moore and Witten proved that the partition function of type IIA string theory coincides (to the extent checked) with the partition function of M-theory. One of us (Kriz) and Sati proposed in a previous paper a refinement of the IIA partition function using elliptic cohomology and conjectured that it coincides with a partition function coming from F-theory. In this paper, we define the geometric term of the F-theoretical effective action on type IIA compactifications. In the special case when the first Pontrjagin class of spacetime vanishes, we also prove a version of the Kriz-Sati conjecture by extending the arguments of Diaconescu-Moore-Witten. We also briefly discuss why even this special case contains interesting examples.

[ { "created": "Tue, 1 Nov 2005 18:29:39 GMT", "version": "v1" }, { "created": "Fri, 24 Mar 2006 18:03:20 GMT", "version": "v2" }, { "created": "Mon, 28 Aug 2006 17:02:05 GMT", "version": "v3" }, { "created": "Thu, 12 Oct 2006 22:30:54 GMT", "version": "v4" } ]

2008-11-26

[ [ "Kriz", "Igor", "" ], [ "Xing", "Hao", "" ] ]

Diaconescu, Moore and Witten proved that the partition function of type IIA string theory coincides (to the extent checked) with the partition function of M-theory. One of us (Kriz) and Sati proposed in a previous paper a refinement of the IIA partition function using elliptic cohomology and conjectured that it coincides with a partition function coming from F-theory. In this paper, we define the geometric term of the F-theoretical effective action on type IIA compactifications. In the special case when the first Pontrjagin class of spacetime vanishes, we also prove a version of the Kriz-Sati conjecture by extending the arguments of Diaconescu-Moore-Witten. We also briefly discuss why even this special case contains interesting examples.

8.807945

8.475641

11.776803

7.558399

8.653654

7.897818

7.828232

7.792473

7.789373

10.863084

8.111104

7.746318

7.936553

7.427398

7.2594

7.304011

7.478224

7.348195

7.531522

7.991056

7.429408

hep-th/9411217

Itzhak Bars

Classical Solutions of 2D String Theory in any Curved Spacetime

Latex, 31 pages, including 6 figures. Lecture at the "Journe'e Cosmologique", Observatoire de Paris, May 94

null

USC-94/HEP-B3

hep-th

null

The complete set of solutions of two dimensional classical string theory are constructed for any curved spacetime. They describe folded strings moving in curved spacetime. Surprizing stringy behavior becomes evident at singularities such as black holes.The solutions are given in the form ofa map from the world sheet to target spacetime, where the world sheet has to be divided into lattice -like patches corresponding to different maps. A recursion relation analogous to a transfer matrix connects these maps into a single continuous map. This ``transfer matrix'' encodes the properties of the world sheet lattice as well as the geometry of spacetime. The solutions are completely classified by their behavior in the asymptotically flat region of spacetime where they reduce, as boundary conditions, to the folded string solutions that have been known for 19 years.

[ { "created": "Tue, 29 Nov 1994 14:32:35 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bars", "Itzhak", "" ] ]

The complete set of solutions of two dimensional classical string theory are constructed for any curved spacetime. They describe folded strings moving in curved spacetime. Surprizing stringy behavior becomes evident at singularities such as black holes.The solutions are given in the form ofa map from the world sheet to target spacetime, where the world sheet has to be divided into lattice -like patches corresponding to different maps. A recursion relation analogous to a transfer matrix connects these maps into a single continuous map. This ``transfer matrix'' encodes the properties of the world sheet lattice as well as the geometry of spacetime. The solutions are completely classified by their behavior in the asymptotically flat region of spacetime where they reduce, as boundary conditions, to the folded string solutions that have been known for 19 years.

14.932881

13.201118

14.983872

13.185884

11.947704

13.070731

12.551908

13.108315

13.176123

16.70866

13.365601

14.022651

14.405107

13.950821

13.823331

13.719034

13.860878

13.937832

13.641951

14.766103

13.458663

1809.03957

Ryo Yokokura

Muneto Nitta, Ryo Yokokura

Higher derivative three-form gauge theories and their supersymmetric extension

46 pages; v2: references added, published version

JHEP 1810 (2018) 146

10.1007/JHEP10(2018)146

null

hep-th hep-ph

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

We investigate three-form gauge theories with higher derivative interactions and their supersymmetric extensions in four space-time dimensions. For the bosonic three-form gauge theories, we show that derivatives on the field strength of the 3-form gauge field yield a tachyon as far as the Lagrangian contains a quadratic kinetic term, while such the term with opposite sign gives rise to a ghost. We confirm that there is neither a tachyon nor a ghost when all higher derivative terms are given by functions of the field strength. For this ghost/tachyon-free Lagrangian, we determine the boundary term necessary for the consistency between the equation of motion and energy-momentum tensor. For supersymmetric extensions, we present ghost/tachyon-free higher derivative interactions of arbitrary order of the field strength and corresponding boundary terms as well.

[ { "created": "Tue, 11 Sep 2018 15:03:38 GMT", "version": "v1" }, { "created": "Fri, 26 Oct 2018 18:13:32 GMT", "version": "v2" } ]

2018-10-30

[ [ "Nitta", "Muneto", "" ], [ "Yokokura", "Ryo", "" ] ]

We investigate three-form gauge theories with higher derivative interactions and their supersymmetric extensions in four space-time dimensions. For the bosonic three-form gauge theories, we show that derivatives on the field strength of the 3-form gauge field yield a tachyon as far as the Lagrangian contains a quadratic kinetic term, while such the term with opposite sign gives rise to a ghost. We confirm that there is neither a tachyon nor a ghost when all higher derivative terms are given by functions of the field strength. For this ghost/tachyon-free Lagrangian, we determine the boundary term necessary for the consistency between the equation of motion and energy-momentum tensor. For supersymmetric extensions, we present ghost/tachyon-free higher derivative interactions of arbitrary order of the field strength and corresponding boundary terms as well.

7.746612

8.630188

8.815167

8.023158

8.088045

7.938667

8.459739

7.833243

7.936364

8.243544

7.804367

7.815735

7.934018

7.613429

7.900091

8.030174

7.607493

7.866858

7.89542

7.911023

7.791728

0807.0787

Midodashvili Pavle

Pavle Midodashvili

Physics of computation and light sheet concept in the measurement of (4+n)-dimensional spacetime geometry

5 pages

Europhys.Lett.83:50004,2008

10.1209/0295-5075/83/50004

null

hep-th

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

We analyze the limits that quantum mechanics imposes on the accuracy to which $(4+n)$-dimensional spacetime geometry can be measured. Using physics of computation and light sheet concept we derive explicit expressions for quantum fluctuations and explore their cumulative effects for various spacetime foam models.

[ { "created": "Fri, 4 Jul 2008 16:15:56 GMT", "version": "v1" } ]

2008-11-26

[ [ "Midodashvili", "Pavle", "" ] ]

We analyze the limits that quantum mechanics imposes on the accuracy to which $(4+n)$-dimensional spacetime geometry can be measured. Using physics of computation and light sheet concept we derive explicit expressions for quantum fluctuations and explore their cumulative effects for various spacetime foam models.

28.850822

28.398094

27.290464

24.548885

25.419579

27.788948

25.348993

22.974918

23.649952

27.713394

25.171955

27.330151

24.308977

24.423927

25.448988

25.79999

25.486544

24.326475

23.887928

22.962257

24.761122

2011.00024

Daniel Klaewer

Daniel Klaewer, Seung-Joo Lee, Timo Weigand, Max Wiesner

Quantum Corrections in 4d N=1 Infinite Distance Limits and the Weak Gravity Conjecture

75 pages, 7 figures; v2: references added, typos corrected, minor clarifications; v3: references added, version accepted for publication in JHEP

null

10.1007/JHEP03(2021)252

CTPU-PTC-20-24, IFT-UAM/CSIC-20-148, MITP/20-064, ZMP-HH/20-21

hep-th

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

We study quantum corrections in four-dimensional theories with $N=1$ supersymmetry in the context of Quantum Gravity Conjectures. According to the Emergent String Conjecture, infinite distance limits in quantum gravity either lead to decompactification of the theory or result in a weakly coupled string theory. We verify this conjecture in the framework of $N=1$ supersymmetric F-theory compactifications to four dimensions including perturbative $\alpha'$ as well as non-perturbative corrections. After proving uniqueness of the emergent critical string at the classical level, we show that quantum corrections obstruct precisely those limits in which the scale of the emergent critical string would lie parametrically below the Kaluza-Klein scale. Limits in which the tension of the asymptotically tensionless string sits at the Kaluza-Klein scale, by contrast, are not obstructed. In the second part of the paper we study the effect of quantum corrections for the Weak Gravity Conjecture away from the strict weak coupling limit. We propose that gauge threshold corrections and mass renormalisation effects modify the super-extremality bound in four dimensions. For the infinite distance limits in F-theory the classical super-extremality bound is generically satisfied by a sublattice of states in the tower of excitations of an emergent heterotic string. By matching the F-theory $\alpha'$ corrections to gauge threshold corrections of the dual heterotic theory we predict how the masses of this tower must be renormalised in order for the Weak Gravity Conjecture to hold at the quantum level.

[ { "created": "Fri, 30 Oct 2020 18:07:26 GMT", "version": "v1" }, { "created": "Thu, 5 Nov 2020 16:57:38 GMT", "version": "v2" }, { "created": "Thu, 18 Feb 2021 19:11:13 GMT", "version": "v3" } ]

2021-04-14

[ [ "Klaewer", "Daniel", "" ], [ "Lee", "Seung-Joo", "" ], [ "Weigand", "Timo", "" ], [ "Wiesner", "Max", "" ] ]

We study quantum corrections in four-dimensional theories with $N=1$ supersymmetry in the context of Quantum Gravity Conjectures. According to the Emergent String Conjecture, infinite distance limits in quantum gravity either lead to decompactification of the theory or result in a weakly coupled string theory. We verify this conjecture in the framework of $N=1$ supersymmetric F-theory compactifications to four dimensions including perturbative $\alpha'$ as well as non-perturbative corrections. After proving uniqueness of the emergent critical string at the classical level, we show that quantum corrections obstruct precisely those limits in which the scale of the emergent critical string would lie parametrically below the Kaluza-Klein scale. Limits in which the tension of the asymptotically tensionless string sits at the Kaluza-Klein scale, by contrast, are not obstructed. In the second part of the paper we study the effect of quantum corrections for the Weak Gravity Conjecture away from the strict weak coupling limit. We propose that gauge threshold corrections and mass renormalisation effects modify the super-extremality bound in four dimensions. For the infinite distance limits in F-theory the classical super-extremality bound is generically satisfied by a sublattice of states in the tower of excitations of an emergent heterotic string. By matching the F-theory $\alpha'$ corrections to gauge threshold corrections of the dual heterotic theory we predict how the masses of this tower must be renormalised in order for the Weak Gravity Conjecture to hold at the quantum level.

6.565211

6.497938

8.007324

6.546792

6.701395

6.557002

6.654771

6.447647

6.309674

8.285146

6.587823

6.492435

7.030296

6.651604

6.620384

6.449323

6.696938

6.583821

6.540841

7.140422

6.589772

1706.07724

Badis Ydri Professor

Badis Ydri, Cherine Soudani, Ahlam Rouag

Quantum Gravity as a Multitrace Matrix Model

19 pages, 9 figures, 62 references

null

10.1142/S0217751X17501809

null

hep-th gr-qc

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

We present a new model of quantum gravity as a theory of random geometries given explicitly in terms of a multitrace matrix model. This is a generalization of the usual discretized random surfaces of 2D quantum gravity which works away from two dimensions and captures a large class of spaces admiting a finite spectral triple. These multitrace matrix models sustain emergent geometry as well as growing dimensions and topology change.

[ { "created": "Fri, 23 Jun 2017 14:30:48 GMT", "version": "v1" } ]

2017-11-22

[ [ "Ydri", "Badis", "" ], [ "Soudani", "Cherine", "" ], [ "Rouag", "Ahlam", "" ] ]

We present a new model of quantum gravity as a theory of random geometries given explicitly in terms of a multitrace matrix model. This is a generalization of the usual discretized random surfaces of 2D quantum gravity which works away from two dimensions and captures a large class of spaces admiting a finite spectral triple. These multitrace matrix models sustain emergent geometry as well as growing dimensions and topology change.

16.394995

14.774726

17.028769

15.041773

15.386147

19.414955

16.007246

14.951221

14.624453

21.794151

13.837619

14.669245

15.6411

14.789907

14.413307

14.555189

14.131886

14.648624

15.241448

14.833851

14.779593

hep-th/0701224

Richard Szabo

Richard J. Szabo

Symmetries and Renormalization of Noncommutative Field Theory

9 pages; v2: Further comments and references added; Based on plenary lecture delivered at the VI Latin American Symposium on High Energy Physics, November 1-8, 2006, Puerto Vallarta, Mexico. To be published in the proceedings by American Institute of Physics

AIPConf.Proc.917:146-153,2007

10.1063/1.2751951

HWM-07-4, EMPG-07-03

hep-th

null

An overview of recent developments in the renormalization and in the implementation of spacetime symmetries of noncommutative field theory is presented, and argued to be intimately related.

[ { "created": "Wed, 24 Jan 2007 12:15:02 GMT", "version": "v1" }, { "created": "Thu, 1 Feb 2007 10:42:51 GMT", "version": "v2" } ]

2008-11-26

[ [ "Szabo", "Richard J.", "" ] ]

An overview of recent developments in the renormalization and in the implementation of spacetime symmetries of noncommutative field theory is presented, and argued to be intimately related.

11.439549

8.645655

8.746733

7.660288

7.544811

8.597905

8.348963

8.316769

7.586189

9.56413

8.383157

8.573096

9.251486

8.199917

8.446661

8.338587

8.490617

8.446552

8.249192

9.039435

8.481164

hep-th/9911024

Bodo Geyer

B. Geyer and M. Lazar

Twist decomposition of nonlocal light-ray operators and harmonic tensor functions

5 pages, LATEX; corrected misprint

null

hep-th

null

For arbitrary spacetime dimension a systematic procedure is carried on to uniquely decompose nonlocal light-cone operators into harmonic operators of well defined twist. Thereby, harmonic tensor polynomials up to rank 2 are introduced. Symmetric tensor operators of rank 2 are considered as an example.

[ { "created": "Thu, 4 Nov 1999 13:23:43 GMT", "version": "v1" }, { "created": "Wed, 9 Feb 2000 16:42:08 GMT", "version": "v2" } ]

2007-05-23

[ [ "Geyer", "B.", "" ], [ "Lazar", "M.", "" ] ]

For arbitrary spacetime dimension a systematic procedure is carried on to uniquely decompose nonlocal light-cone operators into harmonic operators of well defined twist. Thereby, harmonic tensor polynomials up to rank 2 are introduced. Symmetric tensor operators of rank 2 are considered as an example.

26.190901

24.639051

20.079481

20.072296

22.601036

25.985924

25.882627

21.611633

18.895401

21.862186

21.709703

21.68071

21.934874

21.394472

20.626955

22.227034

20.451056

21.076721

20.989225

21.638601

21.880585

hep-th/9311149

Yasui Yukinori

Norihito Sasaki

A Class of FRT Quantum Groups and Fun$_q$(G$_2$) as a Special Case

15 pages

null

OCU-150

hep-th math.QA

null

Citations are updated; referred papers are increased. An error right after the eq.~(27) is corrected, and several chages (not serious) are made.

[ { "created": "Thu, 25 Nov 1993 07:02:01 GMT", "version": "v1" }, { "created": "Wed, 22 Dec 1993 10:20:01 GMT", "version": "v2" } ]

2008-02-03

[ [ "Sasaki", "Norihito", "" ] ]

Citations are updated; referred papers are increased. An error right after the eq.~(27) is corrected, and several chages (not serious) are made.

52.208336

48.583496

48.611267

35.472069

47.617222

35.526535

36.467041

37.663322

42.578621

45.464668

37.60696

43.549068

42.277332

39.225349

47.866154

50.55817

47.11898

42.750805

38.589577

36.953476

46.781502

2208.04665

Ke Yang

Ke Yang, Shi-Fa Guo, Bao-Min Gu

A braneworld model in a massive gravity

24 pages, 2 figures, with some errors corrected

Eur. Phys. J. C (2023) 83:893

10.1140/epjc/s10052-023-12063-z

null

hep-th

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

A Randall-Sundrum-like braneworld scenario is constructed in a 5D extension of the Lorentz-violating massive gravity. The gauge hierarchy problem is solved in current model. The linear perturbations are calculated, and it is found that the tensor and vector perturbations are robust and free from the ghost and tachyonic instabilities, however, the scalar perturbation is a ghost filed. After Kaluza-Klein reduction, all the tensor, vector and scalar modes are massive and possess the mass splitting of order of TeV in their respective mass spectra. The massive ground states of tensor and scalar modes propagate only along the brane, however, the vector ground state is absent in the mass spectrum. By introducing the Goldberger-Wise mechanism to stabilize the extra dimension, the 4D effective theory on the brane includes a nearly massless graviton plus three towers of very massive spin-2, spin-1 and ghost spin-0 particles.

[ { "created": "Tue, 9 Aug 2022 11:18:23 GMT", "version": "v1" }, { "created": "Sun, 27 Aug 2023 11:01:36 GMT", "version": "v2" } ]

2023-10-09

[ [ "Yang", "Ke", "" ], [ "Guo", "Shi-Fa", "" ], [ "Gu", "Bao-Min", "" ] ]

A Randall-Sundrum-like braneworld scenario is constructed in a 5D extension of the Lorentz-violating massive gravity. The gauge hierarchy problem is solved in current model. The linear perturbations are calculated, and it is found that the tensor and vector perturbations are robust and free from the ghost and tachyonic instabilities, however, the scalar perturbation is a ghost filed. After Kaluza-Klein reduction, all the tensor, vector and scalar modes are massive and possess the mass splitting of order of TeV in their respective mass spectra. The massive ground states of tensor and scalar modes propagate only along the brane, however, the vector ground state is absent in the mass spectrum. By introducing the Goldberger-Wise mechanism to stabilize the extra dimension, the 4D effective theory on the brane includes a nearly massless graviton plus three towers of very massive spin-2, spin-1 and ghost spin-0 particles.

7.752315

7.254079

7.365511

6.642311

7.635303

7.486495

7.681751

7.482454

7.009976

7.89525

7.108614

7.283303

7.310398

7.141035

7.388425

7.270464

7.256858

7.250104

7.439488

7.275586

7.330193

hep-th/9802064

Daniel F. Litim

Daniel F. Litim (U. Barcelona), Jan M. Pawlowski (DIAS)

Flow Equations for Yang-Mills Theories in General Axial Gauges

10 pages, latex, no figures, 3 equations added, references updated, to be published in Phys. Lett. B

Phys.Lett. B435 (1998) 181-188

10.1016/S0370-2693(98)00761-8

DIAS-STP/98-03, ECM-UB-PF-98/03, FSUJ-TPI-01/98, Imperial/TP/97-98/22

hep-th hep-ph

null

We present a formulation of non-Abelian gauge theories in general axial gauges using a Wilsonian (or 'Exact') Renormalisation Group. No 'spurious' propagator divergencies are encountered in contrast to standard perturbation theory. Modified Ward identities, compatible with the flow equation, ensure gauge invariance of physical Green functions. The axial gauge $n A=0$ is shown to be a fixed point under the flow equation. Possible non-perturbative approximation schemes and further applications are outlined.

[ { "created": "Tue, 10 Feb 1998 19:54:53 GMT", "version": "v1" }, { "created": "Mon, 22 Jun 1998 17:26:33 GMT", "version": "v2" } ]

2009-10-31

[ [ "Litim", "Daniel F.", "", "U. Barcelona" ], [ "Pawlowski", "Jan M.", "", "DIAS" ] ]

We present a formulation of non-Abelian gauge theories in general axial gauges using a Wilsonian (or 'Exact') Renormalisation Group. No 'spurious' propagator divergencies are encountered in contrast to standard perturbation theory. Modified Ward identities, compatible with the flow equation, ensure gauge invariance of physical Green functions. The axial gauge $n A=0$ is shown to be a fixed point under the flow equation. Possible non-perturbative approximation schemes and further applications are outlined.

10.976808

9.575152

10.591428

9.283238

9.615815

9.259942

8.953841

9.773518

9.146072

11.520959

10.021696

9.62621

10.285307

9.992936

9.930769

10.087473

9.624598

9.895553

9.785145

10.619469

9.71293

1306.5440

Eric R. Sharpe

E. Sharpe

A few Ricci-flat stacks as phases of exotic GLSM's

14 pages, LaTeX; v2: typos corrected

Phys. Lett. B726 (2013) 390-395

10.1016/j.physletb.2013.08.013

null

hep-th

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

In this letter we follow up recent work of Halverson-Kumar-Morrison on some exotic examples of gauged linear sigma models (GLSM's). Specifically, they describe a set of U(1) x Z_2 GLSM's with superpotentials that are quadratic in p fields, rather than linear as is typically the case. These theories RG flow to sigma models on branched double covers, where the double cover is realized via a Z_2 gerbe. For that gerbe structure, and hence the double cover, the Z_2 factor in the gauge group is essential. In this letter we propose an analogous geometric understanding of phases without that Z_2, in terms of Ricci-flat (but not Calabi-Yau) stacks which look like Fano manifolds with hypersurfaces of Z_2 orbifolds.

[ { "created": "Sun, 23 Jun 2013 16:54:44 GMT", "version": "v1" }, { "created": "Mon, 8 Jul 2013 22:27:19 GMT", "version": "v2" } ]

2017-08-31

[ [ "Sharpe", "E.", "" ] ]

In this letter we follow up recent work of Halverson-Kumar-Morrison on some exotic examples of gauged linear sigma models (GLSM's). Specifically, they describe a set of U(1) x Z_2 GLSM's with superpotentials that are quadratic in p fields, rather than linear as is typically the case. These theories RG flow to sigma models on branched double covers, where the double cover is realized via a Z_2 gerbe. For that gerbe structure, and hence the double cover, the Z_2 factor in the gauge group is essential. In this letter we propose an analogous geometric understanding of phases without that Z_2, in terms of Ricci-flat (but not Calabi-Yau) stacks which look like Fano manifolds with hypersurfaces of Z_2 orbifolds.

12.221987

11.567087

13.036058

11.173428

11.964642

11.389416

11.758184

11.648182

10.917448

14.130933

11.069736

11.197534

11.939363

10.558875

10.619054

10.738133

10.715292

10.703195

10.855808

11.683537

10.36181

hep-th/9210141

Shahn Majid

S. Majid

Braided Momentum Structure of the q-Poincare Group

22 pages, LATEX

J.Math.Phys. 34 (1993) 2045-2058

10.1063/1.530154

DAMTP/92-65

hep-th

null

The $q$-Poincar\'e group of \cite{SWW:inh} is shown to have the structure of a semidirect product and coproduct $B\cocross \widetilde{SO_q(1,3)}$ where $B$ is a braided-quantum group structure on the $q$-Minkowski space of 4-momentum with braided-coproduct $\und\Delta \vecp=\vecp\tens 1+1\tens \vecp$. Here the necessary $B$ is not a usual kind of quantum group, but one with braid statistics. Similar braided-vectors and covectors $V(R')$, $V^*(R')$ exist for a general R-matrix. The abstract structure of the $q$-Lorentz group is also studied.

[ { "created": "Tue, 27 Oct 1992 21:54:41 GMT", "version": "v1" } ]

2009-10-22

[ [ "Majid", "S.", "" ] ]

The $q$-Poincar\'e group of \cite{SWW:inh} is shown to have the structure of a semidirect product and coproduct $B\cocross \widetilde{SO_q(1,3)}$ where $B$ is a braided-quantum group structure on the $q$-Minkowski space of 4-momentum with braided-coproduct $\und\Delta \vecp=\vecp\tens 1+1\tens \vecp$. Here the necessary $B$ is not a usual kind of quantum group, but one with braid statistics. Similar braided-vectors and covectors $V(R')$, $V^*(R')$ exist for a general R-matrix. The abstract structure of the $q$-Lorentz group is also studied.

12.274542

11.866142

11.414586

11.148479

12.108754

10.880795

12.560637

12.557098

10.849545

12.350649

11.147896

10.773291

11.666823

10.898552

10.745535

11.261314

10.684672

10.900952

10.63796

11.4693

10.798414

hep-th/0505160

Oliver DeWolfe

Oliver DeWolfe, Alexander Giryavets, Shamit Kachru and Washington Taylor

Type IIA Moduli Stabilization

48 pages, 2 figures, LaTeX. v2: references added. v3: minor comments & references added

JHEP 0507:066,2005

10.1088/1126-6708/2005/07/066

MIT-CTP-3640, PUPT-2161, SU-ITP-05/16, SLAC-PUB-11153

hep-th

null

We demonstrate that flux compactifications of type IIA string theory can classically stabilize all geometric moduli. For a particular orientifold background, we explicitly construct an infinite family of supersymmetric vacua with all moduli stabilized at arbitrarily large volume, weak coupling, and small negative cosmological constant. We obtain these solutions from both ten-dimensional and four-dimensional perspectives. For more general backgrounds, we study the equations for supersymmetric vacua coming from the effective superpotential and show that all geometric moduli can be stabilized by fluxes. We comment on the resulting picture of statistics on the landscape of vacua.

[ { "created": "Wed, 18 May 2005 15:00:32 GMT", "version": "v1" }, { "created": "Thu, 19 May 2005 19:23:53 GMT", "version": "v2" }, { "created": "Tue, 7 Jun 2005 03:15:09 GMT", "version": "v3" } ]

2009-11-11

[ [ "DeWolfe", "Oliver", "" ], [ "Giryavets", "Alexander", "" ], [ "Kachru", "Shamit", "" ], [ "Taylor", "Washington", "" ] ]

We demonstrate that flux compactifications of type IIA string theory can classically stabilize all geometric moduli. For a particular orientifold background, we explicitly construct an infinite family of supersymmetric vacua with all moduli stabilized at arbitrarily large volume, weak coupling, and small negative cosmological constant. We obtain these solutions from both ten-dimensional and four-dimensional perspectives. For more general backgrounds, we study the equations for supersymmetric vacua coming from the effective superpotential and show that all geometric moduli can be stabilized by fluxes. We comment on the resulting picture of statistics on the landscape of vacua.

8.097847

6.757006

8.630801

7.946081

7.788103

7.636925

7.453702

7.580827

7.394964

10.090212

7.468084

7.851241

8.739941

7.830912

7.853347

8.05444

7.953424

8.017424

7.839791

8.547821

7.772723

2402.04147

Wagner Oliveira dos Santos

E. R. Bezerra de Mello, W. Oliveira dos Santos

Finite temperature fermionic condensate and energy-momentum tensor in compactified cosmic string spacetime

38 pages, 5 figures

null

hep-th gr-qc

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

Here we analyze the expectation value of the fermionic condensate and the energy-momentum tensor associated with a massive charged fermionic quantum field with a nonzero chemical potential propagating in a magnetic-flux-carrying cosmic string with compactified dimension in thermal equilibrium at finite temperature $T$. We assume that, in addition to the magnetic field flux running along the string's core, a magnetic flux enclosed by the compact dimension is presented, and the field interacts with both. The expectation values of the fermionic condensate and the energy-momentum tensor are expressed as the sum of vacuum expectation values and the finite temperature contributions coming from the particles and antiparticles excitation. As consequence of the compactification, the thermal corrections of these observable are decomposed in a part induced by pure cosmic string spacetime, plus a contribution induced by the compactification. The thermal expectations values of the fermionic condensate and the energy-momentum tensor are even periodic functions of the magnetic flux with period being the quantum flux, and also even functions of the chemical potential. Because the analyses of vacuum expectation of the fermionic condensate and energy-momentum tensor have been developed in literature, here we are mainly interested in the investigation of the thermal corrections. In this way we explicitly study how these observable behaves in the limits of low and high temperatures, and also for points near the string. Besides the analytical discussions, we included some graphs that exhibit the behavior of these observable for different values of the physical parameters of the model.

[ { "created": "Tue, 6 Feb 2024 16:55:48 GMT", "version": "v1" } ]

2024-02-07

[ [ "de Mello", "E. R. Bezerra", "" ], [ "Santos", "W. Oliveira dos", "" ] ]

Here we analyze the expectation value of the fermionic condensate and the energy-momentum tensor associated with a massive charged fermionic quantum field with a nonzero chemical potential propagating in a magnetic-flux-carrying cosmic string with compactified dimension in thermal equilibrium at finite temperature $T$. We assume that, in addition to the magnetic field flux running along the string's core, a magnetic flux enclosed by the compact dimension is presented, and the field interacts with both. The expectation values of the fermionic condensate and the energy-momentum tensor are expressed as the sum of vacuum expectation values and the finite temperature contributions coming from the particles and antiparticles excitation. As consequence of the compactification, the thermal corrections of these observable are decomposed in a part induced by pure cosmic string spacetime, plus a contribution induced by the compactification. The thermal expectations values of the fermionic condensate and the energy-momentum tensor are even periodic functions of the magnetic flux with period being the quantum flux, and also even functions of the chemical potential. Because the analyses of vacuum expectation of the fermionic condensate and energy-momentum tensor have been developed in literature, here we are mainly interested in the investigation of the thermal corrections. In this way we explicitly study how these observable behaves in the limits of low and high temperatures, and also for points near the string. Besides the analytical discussions, we included some graphs that exhibit the behavior of these observable for different values of the physical parameters of the model.

7.692322

5.186468

7.628503

5.565774

5.649716

5.639554

5.337015

5.654209

5.694024

8.320733

5.626919

6.487195

7.371894

6.903445

6.861702

6.733471

6.592193

6.662224

6.747943

7.619846

6.829747

hep-th/0510003

Don N. Page

The Lifetime of the Universe

9 pages, submitted to the Journal of the Korean Physical Society for a special issue giving the proceedings of the 9th Italian-Korean Symposium on Relativistic Astrophysics, Seoul, South Korea, and Mt. Kumgang, North Korea, 2005 July 19-24; 1999 Starobinsky reference added October 5

J.Korean Phys.Soc. 49 (2006) 711-714

null

Alberta-Thy-14-05, MIFP-05-25

hep-th astro-ph gr-qc

null

Current observations of the fraction of dark energy and a lower limit on its tension, coupled with an assumption of the non-convexity of the dark energy potential, are used to derive a lower limit of 26 billion years for the future age of the universe. Conversely, our ordered observations, coupled with an assumption that observers are smaller than the universe, are used to argue for an upper limit of about e^10^50 years if the universe eventually undergoes power-law expansion, and an upper limit of only about 10^60 years left for our universe if it continues to expand exponentially at the current rate.

[ { "created": "Fri, 30 Sep 2005 22:43:39 GMT", "version": "v1" }, { "created": "Wed, 5 Oct 2005 15:25:13 GMT", "version": "v2" } ]

2016-09-06

[ [ "Page", "Don N.", "" ] ]

Current observations of the fraction of dark energy and a lower limit on its tension, coupled with an assumption of the non-convexity of the dark energy potential, are used to derive a lower limit of 26 billion years for the future age of the universe. Conversely, our ordered observations, coupled with an assumption that observers are smaller than the universe, are used to argue for an upper limit of about e^10^50 years if the universe eventually undergoes power-law expansion, and an upper limit of only about 10^60 years left for our universe if it continues to expand exponentially at the current rate.

12.927434

14.695972

13.227573

12.536906

14.039832

12.213021

12.493368

13.192752

13.428658

12.495522

12.812378

11.89325

12.467978

12.338918

11.883384

11.811721

11.789256

12.257771

12.366524

12.325025

11.932303

2101.11638

Dmitri Bykov

Ian Affleck, Dmitri Bykov, Kyle Wamer

Flag manifold sigma models: spin chains and integrable theories

146 pages, 22 figures

Phys.Rept. 953 (2022) 1-93

10.1016/j.physrep.2021.09.004

null

hep-th cond-mat.str-el math-ph math.DG math.MP

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

This review is dedicated to two-dimensional sigma models with flag manifold target spaces, which are generalizations of the familiar $CP^{n-1}$ and Grassmannian models. They naturally arise in the description of continuum limits of spin chains, and their phase structure is sensitive to the values of the topological angles, which are determined by the representations of spins in the chain. Gapless phases can in certain cases be explained by the presence of discrete 't Hooft anomalies in the continuum theory. We also discuss integrable flag manifold sigma models, which provide a generalization of the theory of integrable models with symmetric target spaces. These models, as well as their deformations, have an alternative equivalent formulation as bosonic Gross-Neveu models, which proves useful for demonstrating that the deformed geometries are solutions of the renormalization group (Ricci flow) equations, as well as for the analysis of anomalies and for describing potential couplings to fermions.

[ { "created": "Wed, 27 Jan 2021 19:01:04 GMT", "version": "v1" } ]

2022-02-02

[ [ "Affleck", "Ian", "" ], [ "Bykov", "Dmitri", "" ], [ "Wamer", "Kyle", "" ] ]

This review is dedicated to two-dimensional sigma models with flag manifold target spaces, which are generalizations of the familiar $CP^{n-1}$ and Grassmannian models. They naturally arise in the description of continuum limits of spin chains, and their phase structure is sensitive to the values of the topological angles, which are determined by the representations of spins in the chain. Gapless phases can in certain cases be explained by the presence of discrete 't Hooft anomalies in the continuum theory. We also discuss integrable flag manifold sigma models, which provide a generalization of the theory of integrable models with symmetric target spaces. These models, as well as their deformations, have an alternative equivalent formulation as bosonic Gross-Neveu models, which proves useful for demonstrating that the deformed geometries are solutions of the renormalization group (Ricci flow) equations, as well as for the analysis of anomalies and for describing potential couplings to fermions.

9.71353

9.731752

9.956591

9.061994

10.261937

10.276301

9.49191

9.529083

9.626355

11.814332

9.166648

8.962143

9.139637

9.049076

9.013937

8.798621

8.646778

9.123627

9.020707

9.322187

9.077717

2105.02101

Michael Strickland

Qianqian Du, Michael Strickland, and Ubaid Tantary

${\cal N}=4$ supersymmetric Yang-Mills thermodynamics to order $\lambda^2$

28 pages, 8 figures; v3: fix to soft contribution and final result, misc typos fixed, conclusions unchanged

J. High Energ. Phys. 2021, 64 (2021)

10.1007/JHEP08(2021)064

null

hep-th hep-ph nucl-th

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

We calculate the resummed perturbative free energy of ${\cal N}=4$ supersymmetric Yang-Mills in four spacetime dimensions ($\text{SYM}_{4,4}$) through second order in the 't Hooft coupling $\lambda$ at finite temperature and zero chemical potential. Our final result is ultraviolet finite and all infrared divergences generated at three-loop level are canceled by summing over $\text{SYM}_{4,4}$ ring diagrams. Non-analytic terms at ${\cal O}({\lambda}^{3/2}) $ and $ {\cal O}({\lambda}^2 \log\lambda )$ are generated by dressing the $A_0$ and scalar propagators. The gauge-field Debye mass $m_D$ and the scalar thermal mass $M$ are determined from their corresponding finite-temperature self-energies. Based on this, we obtain the three-loop thermodynamic functions of $\text{SYM}_{4,4}$ to ${\cal O}(\lambda^2)$. We compare our final result with prior results obtained in the weak- and strong-coupling limits and construct a generalized Pad\'{e} approximant that interpolates between the weak-coupling result and the large-$N_c$ strong-coupling result. Our results suggest that the ${\cal O}(\lambda^2)$ weak-coupling result for the scaled entropy density is a quantitatively reliable approximation to the scaled entropy density for $0 \leq \lambda \lesssim 2$.

[ { "created": "Wed, 5 May 2021 15:04:22 GMT", "version": "v1" }, { "created": "Fri, 20 Aug 2021 17:14:39 GMT", "version": "v2" }, { "created": "Tue, 23 Nov 2021 21:18:15 GMT", "version": "v3" } ]

2021-11-25

[ [ "Du", "Qianqian", "" ], [ "Strickland", "Michael", "" ], [ "Tantary", "Ubaid", "" ] ]

We calculate the resummed perturbative free energy of ${\cal N}=4$ supersymmetric Yang-Mills in four spacetime dimensions ($\text{SYM}_{4,4}$) through second order in the 't Hooft coupling $\lambda$ at finite temperature and zero chemical potential. Our final result is ultraviolet finite and all infrared divergences generated at three-loop level are canceled by summing over $\text{SYM}_{4,4}$ ring diagrams. Non-analytic terms at ${\cal O}({\lambda}^{3/2}) $ and $ {\cal O}({\lambda}^2 \log\lambda )$ are generated by dressing the $A_0$ and scalar propagators. The gauge-field Debye mass $m_D$ and the scalar thermal mass $M$ are determined from their corresponding finite-temperature self-energies. Based on this, we obtain the three-loop thermodynamic functions of $\text{SYM}_{4,4}$ to ${\cal O}(\lambda^2)$. We compare our final result with prior results obtained in the weak- and strong-coupling limits and construct a generalized Pad\'{e} approximant that interpolates between the weak-coupling result and the large-$N_c$ strong-coupling result. Our results suggest that the ${\cal O}(\lambda^2)$ weak-coupling result for the scaled entropy density is a quantitatively reliable approximation to the scaled entropy density for $0 \leq \lambda \lesssim 2$.

4.43465

4.328602

4.426026

4.19514

4.388155

4.403125

4.374776

4.377878

4.251734

4.578912

4.380621

4.330678

4.363793

4.293649

4.403487

4.232881

4.303242

4.37773

4.317739

4.339717

4.364648

hep-th/0411079

Oisin A. P. mac Conamhna

Marco Cariglia, Oisin A. P. Mac Conamhna

Null structure groups in eleven dimensions

25 pages, Latex. v2: substantially modified discussion of results. Generic N=2 structure group with one null Killing spinor is SU(2), not the identity. v3:typos corrected. v4: minor modifications in response to referee's comments, typos corrected. Final version to appear in Phys.Rev.D

Phys.Rev. D73 (2006) 045011

10.1103/PhysRevD.73.045011

DAMTP-2004-118

hep-th

null

We classify all the structure groups which arise as subgroups of the isotropy group, $(Spin(7)\ltimes\mathbb{R}^8)\times\mathbb{R}$, of a single null Killing spinor in eleven dimensions. We construct the spaces of spinors fixed by these groups. We determine the conditions under which structure subgroups of the maximal null strucuture group $(Spin(7)\ltimes\mathbb{R}^8)\times\mathbb{R}$ may also be embedded in SU(5), and hence the conditions under which a supersymmetric spacetime admits only null, or both timelike and null, Killing spinors. We discuss how this purely algebraic material will facilitate the direct analysis of the Killing spinor equation of eleven dimensional supergravity, and the classification of supersymmetric spacetimes therein.

[ { "created": "Mon, 8 Nov 2004 16:28:54 GMT", "version": "v1" }, { "created": "Tue, 12 Apr 2005 13:02:05 GMT", "version": "v2" }, { "created": "Fri, 24 Jun 2005 17:07:43 GMT", "version": "v3" }, { "created": "Fri, 3 Feb 2006 12:16:42 GMT", "version": "v4" } ]

2009-11-10

[ [ "Cariglia", "Marco", "" ], [ "Mac Conamhna", "Oisin A. P.", "" ] ]

We classify all the structure groups which arise as subgroups of the isotropy group, $(Spin(7)\ltimes\mathbb{R}^8)\times\mathbb{R}$, of a single null Killing spinor in eleven dimensions. We construct the spaces of spinors fixed by these groups. We determine the conditions under which structure subgroups of the maximal null strucuture group $(Spin(7)\ltimes\mathbb{R}^8)\times\mathbb{R}$ may also be embedded in SU(5), and hence the conditions under which a supersymmetric spacetime admits only null, or both timelike and null, Killing spinors. We discuss how this purely algebraic material will facilitate the direct analysis of the Killing spinor equation of eleven dimensional supergravity, and the classification of supersymmetric spacetimes therein.

6.668481

7.347473

8.053423

6.541409

7.169346

7.833459

6.824621

6.848805

6.718378

7.831452

7.099552

6.596869

6.835248

6.750586

6.9695

6.715015

6.735075

6.635275

6.704707

6.48937

6.688796

2102.01866

Jae-Hyuk Oh

Jae-Hyuk Oh and Phillial Oh

Aspects of $(d+D)$-dimensional Anisotropic Conformal Gravity

23+1 pages, a new section is added, a few typos are corrected. Several references are added

null

10.1007/s40042-021-00351-4

null

hep-th gr-qc

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

We discuss various aspects of anisotropic gravity in $(d+D)$-dimensional spacetime where $D$ dimensions are treated as extra dimensions. It is based on the foliation preserving diffeomorphism invariance and anisotropic conformal invariance. The anisotropy is embodied by introducing a factor $z$ which discriminates the scaling degree of the extra $D$ dimensions against the $d$-dimensional base spacetime and Weyl scalar field which mediates the anisotropic scaling symmetry. There is no intrinsic scale but a physical scale $M_*$ emerges as a consequence of spontaneous conformal symmetry breaking. Some vacuum solutions are obtained and we discuss an issue of `size separation' between the base spacetime and the extra dimensions. The size separation means large hierarchy between the scales appearing in the base spacetime and the extra dimensions respectively. We also discuss interesting theories obtained from our model. In the case of (4,1), we propose a resolution of hierarchy problem and discuss comparison with the results of the brane-world model. In a $(d,D)=(2,2)$ case, we suggest a UV-complete unitary quantum gravity which might become Einstein gravity in IR. In a certain (2,1) case, we obtain CGHS-model.

[ { "created": "Wed, 3 Feb 2021 04:11:21 GMT", "version": "v1" }, { "created": "Mon, 2 Aug 2021 07:58:27 GMT", "version": "v2" }, { "created": "Thu, 5 Aug 2021 06:00:43 GMT", "version": "v3" } ]

2022-01-05

[ [ "Oh", "Jae-Hyuk", "" ], [ "Oh", "Phillial", "" ] ]

We discuss various aspects of anisotropic gravity in $(d+D)$-dimensional spacetime where $D$ dimensions are treated as extra dimensions. It is based on the foliation preserving diffeomorphism invariance and anisotropic conformal invariance. The anisotropy is embodied by introducing a factor $z$ which discriminates the scaling degree of the extra $D$ dimensions against the $d$-dimensional base spacetime and Weyl scalar field which mediates the anisotropic scaling symmetry. There is no intrinsic scale but a physical scale $M_*$ emerges as a consequence of spontaneous conformal symmetry breaking. Some vacuum solutions are obtained and we discuss an issue of `size separation' between the base spacetime and the extra dimensions. The size separation means large hierarchy between the scales appearing in the base spacetime and the extra dimensions respectively. We also discuss interesting theories obtained from our model. In the case of (4,1), we propose a resolution of hierarchy problem and discuss comparison with the results of the brane-world model. In a $(d,D)=(2,2)$ case, we suggest a UV-complete unitary quantum gravity which might become Einstein gravity in IR. In a certain (2,1) case, we obtain CGHS-model.

10.400614

10.732327

10.896938

10.299614

10.904413

10.502349

10.210969

10.386979

10.152297

11.950376

10.265508

10.369421

10.322515

10.056174

10.240742

10.267348

10.556905

10.254312

10.401226

10.367293

10.263139

1403.0170

Thibault Delepouve

Thibault Delepouve, Razvan Gurau, Vincent Rivasseau

Universality and Borel Summability of Arbitrary Quartic Tensor Models

null

Annales de l'Institut Henri Poincar\'e - Probabilit\'es et Statistiques 2016, Vol. 52, No. 2, 821-848

null

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

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

We extend the study of \emph{melonic} quartic tensor models to models with arbitrary quartic interactions. This extension requires a new version of the loop vertex expansion using several species of intermediate fields and iterated Cauchy-Schwarz inequalities. Borel summability is proven, uniformly as the tensor size $N$ becomes large. Every cumulant is written as a sum of explicitly calculated terms plus a remainder, suppressed in $1/N$. Together with the existence of the large $N$ limit of the second cumulant, this proves that the corresponding sequence of probability measures is uniformly bounded and obeys the tensorial universality theorem.

[ { "created": "Sun, 2 Mar 2014 07:50:26 GMT", "version": "v1" }, { "created": "Sat, 29 Nov 2014 14:08:18 GMT", "version": "v2" } ]

2017-06-26

[ [ "Delepouve", "Thibault", "" ], [ "Gurau", "Razvan", "" ], [ "Rivasseau", "Vincent", "" ] ]

We extend the study of \emph{melonic} quartic tensor models to models with arbitrary quartic interactions. This extension requires a new version of the loop vertex expansion using several species of intermediate fields and iterated Cauchy-Schwarz inequalities. Borel summability is proven, uniformly as the tensor size $N$ becomes large. Every cumulant is written as a sum of explicitly calculated terms plus a remainder, suppressed in $1/N$. Together with the existence of the large $N$ limit of the second cumulant, this proves that the corresponding sequence of probability measures is uniformly bounded and obeys the tensorial universality theorem.

13.594531

13.814531

13.862491

12.546035

14.494126

13.947742

13.419029

13.305319

13.663131

16.538748

12.761934

13.140845

12.665618

12.575934

12.823518

13.193409

12.413159

12.932313

12.637882

12.999495

13.154193

1605.05484

Tonnis ter Veldhuis

T.E. Clark and T. ter Veldhuis

AdS-Carroll Branes

47 pages

null

10.1063/1.4967969

null

hep-th

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

Coset methods are used to determine the action of a co-dimension one brane (domain wall) embedded in (d+1)-dimensional AdS space in the Carroll limit in which the speed of light goes to zero. The action is invariant under the non-linearly realized symmetries of the AdS-Carroll spacetime. The Nambu-Goldstone field exhibits a static spatial distribution for the brane with a time varying momentum density related to the brane's spatial shape as well as the AdS-C geometry. The AdS-C vector field dual theory is obtained.

[ { "created": "Wed, 18 May 2016 09:00:47 GMT", "version": "v1" } ]

2016-12-21

[ [ "Clark", "T. E.", "" ], [ "ter Veldhuis", "T.", "" ] ]

Coset methods are used to determine the action of a co-dimension one brane (domain wall) embedded in (d+1)-dimensional AdS space in the Carroll limit in which the speed of light goes to zero. The action is invariant under the non-linearly realized symmetries of the AdS-Carroll spacetime. The Nambu-Goldstone field exhibits a static spatial distribution for the brane with a time varying momentum density related to the brane's spatial shape as well as the AdS-C geometry. The AdS-C vector field dual theory is obtained.

12.50159

9.359075

12.462786

10.19575

11.257167

10.05265

10.777093

10.398137

9.993903

14.440497

9.846013

10.6331

10.735194

10.205183

10.96182

10.424389

10.945032

10.447716

10.828047

10.970178

11.211994

2210.12033

Bruno Balthazar

Bruno Balthazar, Jinwei Chu, David Kutasov

On Small Black Holes in String Theory

20+7 pages, 4 figures

null

hep-th

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

We discuss the worldsheet sigma-model whose target space is the $d+1$ dimensional Euclidean Schwarzschild black hole. We argue that in the limit where the Hawking temperature of the black hole, $T$, approaches the Hagedorn temperature, $T_H$, it can be described in terms of a generalized version of the Horowitz-Polchinski effective theory. For $d\geq6$, where the Horowitz-Polchinski EFT [1,2] does not have suitable solutions, the modified effective Lagrangian allows one to study the black hole CFT in an expansion in powers of $d-6$ and $T_H-T$. At $T=T_H$, the sigma model is non-trivial for all $d>6$. It exhibits an enhanced $SU(2)$ symmetry, and is described by a non-abelian Thirring model with a radially dependent coupling. The resulting picture connects naturally to the results of [3-5], that relate Schwarzschild black holes in flat spacetime at large $d$ to the two dimensional black hole. We also discuss an analogous open string system, in which the black hole is replaced by a system of two separated D-branes connected by a throat. In this system, the asymptotic separation of the branes plays the role of the inverse temperature. At the critical separation, the system is described by a Kondo-type model, which again exhibits an enhanced $SU(2)$ symmetry. At large $d$, the brane system gives rise to the hairpin brane [6].

[ { "created": "Fri, 21 Oct 2022 15:27:18 GMT", "version": "v1" } ]

2022-10-24

[ [ "Balthazar", "Bruno", "" ], [ "Chu", "Jinwei", "" ], [ "Kutasov", "David", "" ] ]

We discuss the worldsheet sigma-model whose target space is the $d+1$ dimensional Euclidean Schwarzschild black hole. We argue that in the limit where the Hawking temperature of the black hole, $T$, approaches the Hagedorn temperature, $T_H$, it can be described in terms of a generalized version of the Horowitz-Polchinski effective theory. For $d\geq6$, where the Horowitz-Polchinski EFT [1,2] does not have suitable solutions, the modified effective Lagrangian allows one to study the black hole CFT in an expansion in powers of $d-6$ and $T_H-T$. At $T=T_H$, the sigma model is non-trivial for all $d>6$. It exhibits an enhanced $SU(2)$ symmetry, and is described by a non-abelian Thirring model with a radially dependent coupling. The resulting picture connects naturally to the results of [3-5], that relate Schwarzschild black holes in flat spacetime at large $d$ to the two dimensional black hole. We also discuss an analogous open string system, in which the black hole is replaced by a system of two separated D-branes connected by a throat. In this system, the asymptotic separation of the branes plays the role of the inverse temperature. At the critical separation, the system is described by a Kondo-type model, which again exhibits an enhanced $SU(2)$ symmetry. At large $d$, the brane system gives rise to the hairpin brane [6].

7.071274

7.012004

7.336693

6.704123

7.171423

6.597372

6.857705

6.909619

6.57621

8.555103

6.860453

6.801681

6.807727

6.648158

6.795002

6.754307

6.811813

6.754972

6.715714

7.126958

6.624469

2304.12806

Niccol\`o Cribiori

Niccol\`o Cribiori and Fotis Farakos

Supergravity EFTs and swampland constraints

51 pages; v2: typos corrected and references added; v3: references added. Contribution to the proceedings for Corfu Summer Institute 2022 "School and Workshops on Elementary Particle Physics and Gravity", (CORFU2022) 28 August - 1 October 2022 Corfu, Greece

null

hep-th

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

In these proceedings, we review recent progress in analyzing the behavior of lower-dimensional supergravity theories when combined with swampland conjectures. We show that within supergravity the effectiveness and usefulness of swampland conjectures gets amplified, existing criteria can be intertwined and also new ones can be uncovered. Furthermore, we elaborate on some previously unpublished work. This includes evidence for the possible existence of a novel conjecture on Yukawa couplings and an argument to constrain large classes of D-term inflationary models using known conjectures.

[ { "created": "Tue, 25 Apr 2023 13:35:17 GMT", "version": "v1" }, { "created": "Sat, 29 Apr 2023 22:13:14 GMT", "version": "v2" }, { "created": "Fri, 22 Sep 2023 10:00:59 GMT", "version": "v3" } ]

2023-09-25

[ [ "Cribiori", "Niccolò", "" ], [ "Farakos", "Fotis", "" ] ]

In these proceedings, we review recent progress in analyzing the behavior of lower-dimensional supergravity theories when combined with swampland conjectures. We show that within supergravity the effectiveness and usefulness of swampland conjectures gets amplified, existing criteria can be intertwined and also new ones can be uncovered. Furthermore, we elaborate on some previously unpublished work. This includes evidence for the possible existence of a novel conjecture on Yukawa couplings and an argument to constrain large classes of D-term inflationary models using known conjectures.

17.830851

15.622972

15.784429

14.818514

16.402481

16.46368

17.021442

15.709634

16.185404

16.367397

15.161994

15.234004

16.156345

15.453436

15.241968

15.588797

15.085775

15.136619

15.627048

15.491885

15.226292

2101.10000

Ashish Shukla

Hydrodynamic fluctuations and long-time tails in a fluid on an anisotropic background

v2: References added. Matches published version in Nuclear Physics B

Nuclear Physics B Volume 968, 115442 (2021)

10.1016/j.nuclphysb.2021.115442

null

hep-th cond-mat.str-el hep-ph nucl-th physics.flu-dyn

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

The effective low-energy late-time description of many body systems near thermal equilibrium provided by classical hydrodynamics in terms of dissipative transport phenomena receives important corrections once the effects of stochastic fluctuations are taken into account. One such physical effect is the occurrence of long-time power law tails in correlation functions of conserved currents. In the hydrodynamic regime $\vec{k} \rightarrow 0$ this amounts to non-analytic dependence of the correlation functions on the frequency $\omega$. In this article, we consider a relativistic fluid with a conserved global $U(1)$ charge in the presence of a strong background magnetic field, and compute the long-time tails in correlation functions of the stress tensor. The presence of the magnetic field renders the system anisotropic. In the absence of the magnetic field, there are three out-of-equilibrium transport parameters that arise at the first order in the hydrodynamic derivative expansion, all of which are dissipative. In the presence of a background magnetic field, there are ten independent out-of-equilibrium transport parameters at the first order, three of which are non-dissipative and the rest are dissipative. We provide the most general linearized equations about a given state of thermal equilibrium involving the various transport parameters in the presence of a magnetic field, and use them to compute the long-time tails for the fluid.

[ { "created": "Mon, 25 Jan 2021 10:34:24 GMT", "version": "v1" }, { "created": "Wed, 26 May 2021 17:08:03 GMT", "version": "v2" } ]

2021-05-27

[ [ "Shukla", "Ashish", "" ] ]

The effective low-energy late-time description of many body systems near thermal equilibrium provided by classical hydrodynamics in terms of dissipative transport phenomena receives important corrections once the effects of stochastic fluctuations are taken into account. One such physical effect is the occurrence of long-time power law tails in correlation functions of conserved currents. In the hydrodynamic regime $\vec{k} \rightarrow 0$ this amounts to non-analytic dependence of the correlation functions on the frequency $\omega$. In this article, we consider a relativistic fluid with a conserved global $U(1)$ charge in the presence of a strong background magnetic field, and compute the long-time tails in correlation functions of the stress tensor. The presence of the magnetic field renders the system anisotropic. In the absence of the magnetic field, there are three out-of-equilibrium transport parameters that arise at the first order in the hydrodynamic derivative expansion, all of which are dissipative. In the presence of a background magnetic field, there are ten independent out-of-equilibrium transport parameters at the first order, three of which are non-dissipative and the rest are dissipative. We provide the most general linearized equations about a given state of thermal equilibrium involving the various transport parameters in the presence of a magnetic field, and use them to compute the long-time tails for the fluid.

6.733676

6.437314

6.593782

5.922009

6.622734

6.336175

6.3126

6.285621

6.15769

7.163393

6.212452

6.211366

6.38146

6.277141

6.198082

6.161704

6.320717

6.214088

6.274338

6.501566

6.259817

0910.5195

Carlos Tamarit

C. Tamarit

Noncommutative GUT inspired theories with U(1), SU(N) groups and their renormalisability

33 pages, 7 figures. Version 2: Section 5 was simplified, Section 6 was expanded with more discussions, references were added

Phys.Rev.D81:025006,2010

10.1103/PhysRevD.81.025006

NSF-KITP-09-188,FTI/UCM 107-2009

hep-th

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

We consider the GUT compatible formulation of noncommutative QED, as well as noncommutative SU(N) GUTs, for N>2, with no scalars but with fermionic matter in an arbitrary, anomaly-free representation, in the enveloping algebra approach. We compute, to first order in the noncommutativity parameters theta, the UV divergent part of the one-loop background-field effective action involving at most two fermion fields and an arbitrary number of gauge fields. It turns out that, for special choices of the ambiguous trace over the gauge degrees of freedom, for which the O(theta) triple gauge-field interactions vanish, the divergences can be absorbed by means of multiplicative renormalisations and the inclusion of theta-dependent counterterms that vanish on-shell and are thus unphysical. For this to happen in the SU(N), N>2 case, the representations of the matter fields must have a common second Casimir; anomaly cancellation then requires the ordinary (commutative) matter content to be non-chiral. Together with the vanishing of the divergences of fermionic four point functions, this shows that GUT inspired theories with U(1) and SU(N), N>2 gauge groups and ordinary vector matter content not only have a renormalisable matter sector, but are on-shell one-loop multiplicatively renormalisable at order one in theta.

[ { "created": "Tue, 27 Oct 2009 18:29:11 GMT", "version": "v1" }, { "created": "Mon, 11 Jan 2010 19:18:17 GMT", "version": "v2" } ]

2010-04-06

[ [ "Tamarit", "C.", "" ] ]

We consider the GUT compatible formulation of noncommutative QED, as well as noncommutative SU(N) GUTs, for N>2, with no scalars but with fermionic matter in an arbitrary, anomaly-free representation, in the enveloping algebra approach. We compute, to first order in the noncommutativity parameters theta, the UV divergent part of the one-loop background-field effective action involving at most two fermion fields and an arbitrary number of gauge fields. It turns out that, for special choices of the ambiguous trace over the gauge degrees of freedom, for which the O(theta) triple gauge-field interactions vanish, the divergences can be absorbed by means of multiplicative renormalisations and the inclusion of theta-dependent counterterms that vanish on-shell and are thus unphysical. For this to happen in the SU(N), N>2 case, the representations of the matter fields must have a common second Casimir; anomaly cancellation then requires the ordinary (commutative) matter content to be non-chiral. Together with the vanishing of the divergences of fermionic four point functions, this shows that GUT inspired theories with U(1) and SU(N), N>2 gauge groups and ordinary vector matter content not only have a renormalisable matter sector, but are on-shell one-loop multiplicatively renormalisable at order one in theta.

9.919538

8.977907

10.596166

9.066594

9.66256

9.213512

9.698292

9.349906

9.21413

11.437989

9.064301

9.732759

9.731596

9.254947

9.274029

9.322906

9.171532

9.291327

9.284686

9.468199

9.169025

2301.04827

S. Ganesh

5-D thermal field theory, Einstein field equations and spontaneous symmetry breaking

10 pages, 1 figure. Accepted for publication in Classical and Quantum Gravity. Refer to the journal for the accepted/published version

Classical and Quantum Gravity, Vol 40, No. 4, 045008 (2023)

10.1088/1361-6382/acb24c

null

hep-th cond-mat.other gr-qc hep-ph math-ph math.MP

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

It has been shown previously, that the spatial thermal variation of a thermal medium can be recast as a variation in the Euclidean metric. It is now extended to temporal variations in temperature, for a non-relativistic thermal bath, which remains in local thermal equilibrium. This is achieved by examining the thermal field theory in a five-dimensional space-time-temperature. The bulk thermodynamic quantity, namely the energy density, is calculated for a neutral scalar field with a time-dependent Hamiltonian. Furthermore, the concept of recasting thermal variations as a variation in the metric is extended to thermal systems in a gravitational field. The Einstein field equations, in the 5-D space-time-temperature, is determined. It is shown that the resulting Ricci scalar can then lead to spontaneous symmetry breaking, leading to the Higgs mechanism. In essence, the asymmetry in the distribution of temperature in space-time can translate to spontaneous symmetry breaking of particle fields, in a very strong gravitational field.

[ { "created": "Thu, 12 Jan 2023 06:09:02 GMT", "version": "v1" } ]

2023-08-10

[ [ "Ganesh", "S.", "" ] ]

It has been shown previously, that the spatial thermal variation of a thermal medium can be recast as a variation in the Euclidean metric. It is now extended to temporal variations in temperature, for a non-relativistic thermal bath, which remains in local thermal equilibrium. This is achieved by examining the thermal field theory in a five-dimensional space-time-temperature. The bulk thermodynamic quantity, namely the energy density, is calculated for a neutral scalar field with a time-dependent Hamiltonian. Furthermore, the concept of recasting thermal variations as a variation in the metric is extended to thermal systems in a gravitational field. The Einstein field equations, in the 5-D space-time-temperature, is determined. It is shown that the resulting Ricci scalar can then lead to spontaneous symmetry breaking, leading to the Higgs mechanism. In essence, the asymmetry in the distribution of temperature in space-time can translate to spontaneous symmetry breaking of particle fields, in a very strong gravitational field.

10.965892

11.648783

11.371133

10.987825

11.793659

11.943198

11.386635

11.196694

11.493335

11.381722

11.125898

11.139416

10.666824

10.938315

10.708543

11.135106

11.163321

10.758711

11.102463

10.77847

11.041848

hep-th/9406002

null

J.S.Dowker

Heat kernels on curved cones

4p.,sign errors corrected and a small addition,uses JyTeX,MUTP/94/09

Class.Quant.Grav.11:L137-L140,1994

10.1088/0264-9381/11/11/003

null

hep-th gr-qc

null

A functorial derivation is presented of a heat-kernel expansion coefficient on a manifold with a singular fixed point set of codimension two. The existence of an extrinsic curvature term is pointed out.

[ { "created": "Wed, 1 Jun 1994 12:14:24 GMT", "version": "v1" }, { "created": "Fri, 3 Jun 1994 07:52:12 GMT", "version": "v2" } ]

2010-04-06

[ [ "Dowker", "J. S.", "" ] ]

A functorial derivation is presented of a heat-kernel expansion coefficient on a manifold with a singular fixed point set of codimension two. The existence of an extrinsic curvature term is pointed out.

19.142321

16.626966

16.435253

15.597649

16.075748

16.364101

16.780249

13.722557

14.346319

22.275879

16.473654

15.629952

16.204264

15.71924

15.425909

15.732048

15.301697

14.625065

16.349464

17.152632

15.690274

hep-th/0103031

Zurab Kakushadze

Olindo Corradini and Zurab Kakushadze

A Solitonic 3-Brane in 6D Bulk

12 pages, revtex; a minor misprint corrected (to appear in Phys. Lett. B)

Phys.Lett. B506 (2001) 167-176

10.1016/S0370-2693(01)00411-7

YITP-01-07

hep-th gr-qc hep-ph

null

We construct a solitonic 3-brane solution in the 6-dimensional Einstein-Hilbert-Gauss-Bonnet theory with a (negative) cosmological term. This solitonic brane world is delta-function-like. Near the brane the metric is that for a product of the 4-dimensional flat Minkowski space with a 2-dimensional ``wedge'' with a deficit angle (which depends on the solitonic brane tension). Far from the brane the metric approaches that for a product of the 5-dimensional AdS space and a circle. This solitonic solution exists for a special value of the Gauss-Bonnet coupling (for which we also have a delta-function-like codimension-1 solitonic solution), and the solitonic brane tension can take values in a continuous range. We discuss various properties of this solitonic brane world, including coupling between gravity and matter localized on the brane.

[ { "created": "Tue, 6 Mar 2001 04:57:41 GMT", "version": "v1" }, { "created": "Wed, 21 Mar 2001 17:07:34 GMT", "version": "v2" } ]

2009-11-07

[ [ "Corradini", "Olindo", "" ], [ "Kakushadze", "Zurab", "" ] ]

We construct a solitonic 3-brane solution in the 6-dimensional Einstein-Hilbert-Gauss-Bonnet theory with a (negative) cosmological term. This solitonic brane world is delta-function-like. Near the brane the metric is that for a product of the 4-dimensional flat Minkowski space with a 2-dimensional ``wedge'' with a deficit angle (which depends on the solitonic brane tension). Far from the brane the metric approaches that for a product of the 5-dimensional AdS space and a circle. This solitonic solution exists for a special value of the Gauss-Bonnet coupling (for which we also have a delta-function-like codimension-1 solitonic solution), and the solitonic brane tension can take values in a continuous range. We discuss various properties of this solitonic brane world, including coupling between gravity and matter localized on the brane.

5.3148

4.70772

5.492118

4.840559

4.603605

4.512399

4.601043

4.813473

4.73312

5.165962

4.638671

4.902158

5.082843

4.955682

4.863315

4.967415

4.862492

4.922788

4.801041

5.052236

4.948705

1812.09469

Kazumi Okuyama

Eigenvalue instantons in the spectral form factor of random matrix model

13 pages, 2 figures; v2: minor corrections, references added

null

10.1007/JHEP03(2019)147

null

hep-th

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

We study the late time plateau behavior of the spectral form factor in the Gaussian Unitary Ensemble (GUE) random matrix model. The time derivative of the spectral form factor in the plateau regime is not strictly zero, but non-zero due to a non-perturbative correction in the $1/N$ expansion. We argue that such a non-perturbative correction comes from the eigenvalue instanton of random matrix model and we explicitly compute the instanton correction as a function of time.

[ { "created": "Sat, 22 Dec 2018 07:29:50 GMT", "version": "v1" }, { "created": "Fri, 22 Feb 2019 04:03:45 GMT", "version": "v2" } ]

2019-05-01

[ [ "Okuyama", "Kazumi", "" ] ]

We study the late time plateau behavior of the spectral form factor in the Gaussian Unitary Ensemble (GUE) random matrix model. The time derivative of the spectral form factor in the plateau regime is not strictly zero, but non-zero due to a non-perturbative correction in the $1/N$ expansion. We argue that such a non-perturbative correction comes from the eigenvalue instanton of random matrix model and we explicitly compute the instanton correction as a function of time.

7.385069

6.117712

7.657278

6.365476

6.989625

6.421802

6.27144

6.850135

6.523605

7.606799

6.342789

6.589658

7.203548

6.620474

6.472095

6.546731

6.715403

6.785263

6.669491

7.683993

6.455724

hep-th/0302041

Mikhail Smolyakov

Mikhail N. Smolyakov, Igor P. Volobuev

Is there the radion in the RS2 model ?

9 pages

Central Eur.J.Phys. 2 (2004) 25-34

10.2478/BF02476271

NPI MSU 2003-6/719, February 2003

hep-th

null

We analyse the physical boundary conditions at infinity for metric fluctuations and gauge functions in the RS2 model with matter on the brane. We argue that due to these boundary conditions the radion field cannot be gauged out in this case. Thus, it represents a physical degree of freedom of the model.

[ { "created": "Thu, 6 Feb 2003 19:07:12 GMT", "version": "v1" } ]

2009-11-10

[ [ "Smolyakov", "Mikhail N.", "" ], [ "Volobuev", "Igor P.", "" ] ]

We analyse the physical boundary conditions at infinity for metric fluctuations and gauge functions in the RS2 model with matter on the brane. We argue that due to these boundary conditions the radion field cannot be gauged out in this case. Thus, it represents a physical degree of freedom of the model.

12.914849

10.578746

11.423633

9.982632

10.121909

10.06657

10.387754

9.848277

9.706932

11.867602

10.185978

10.966174

11.122802

11.082339

11.090611

10.810115

11.538667

11.063599

11.055048

11.668938

11.153708

1401.8051

Roberto Maluf

Victor Santos, R. V. Maluf and C. A. S. Almeida

Thermodynamical properties of graphene in noncommutative phase-space

12 pages, 6 figures, improvements and changes are added, published version

Annals of Physics 349, 402-410 (2014)

10.1016/j.aop.2014.07.005

null

hep-th

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

We investigated the thermodynamic properties of graphene in a noncommutative phase-space in the presence of a constant magnetic field. In particular, we determined the behaviour of the main thermodynamical functions: the Helmholtz free energy, the mean energy, the entropy and the specific heat. The high temperature limit is worked out and the thermodynamic quantities, such as mean energy and specific heat, exhibit the same features as the commutative case. Possible connections with the results already established in the literature are discussed briefly.

[ { "created": "Fri, 31 Jan 2014 03:20:33 GMT", "version": "v1" }, { "created": "Mon, 28 Jul 2014 18:51:38 GMT", "version": "v2" } ]

2014-07-29

[ [ "Santos", "Victor", "" ], [ "Maluf", "R. V.", "" ], [ "Almeida", "C. A. S.", "" ] ]

We investigated the thermodynamic properties of graphene in a noncommutative phase-space in the presence of a constant magnetic field. In particular, we determined the behaviour of the main thermodynamical functions: the Helmholtz free energy, the mean energy, the entropy and the specific heat. The high temperature limit is worked out and the thermodynamic quantities, such as mean energy and specific heat, exhibit the same features as the commutative case. Possible connections with the results already established in the literature are discussed briefly.

6.995027

6.3641

6.79428

6.092745

6.127512

5.938486

6.343349

5.995924

6.285884

6.962082

6.112014

6.131883

6.693167

6.272916

6.305621

6.342871

6.157907

6.145652

6.28792

6.355597

6.158805

2110.00405

Alexander Popov

Alexander D. Popov

Yang-Mills-Stueckelberg Theories, Framing and Local Breaking of Symmetries

19 pages

null

10.1142/S0129055X23500356

null

hep-th gr-qc

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

We consider Yang-Mills theory with a compact structure group $G$ on a Lorentzian 4-manifold $M={\mathbb R}\times\Sigma$ such that gauge transformations become identity on a submanifold $S$ of $\Sigma$ (framing over $S\subset\Sigma$). The space $S$ is not necessarily a boundary of $\Sigma$ and can have dimension $k\le 3$. Framing of gauge bundles over $S\subset\Sigma$ demands introduction of a $G$-valued function $\phi_S$ with support on $S$ and modification of Yang-Mills equations along ${\mathbb R}\times S\subset M$. The fields $\phi_S$ parametrize nonequivalent flat connections mapped into each other by a dynamical group ${\mathcal G}_S$ changing gauge frames over $S$. It is shown that the charged condensate $\phi_S$ is the Stueckelberg field generating an effective mass of gluons in the domain $S$ of space $\Sigma$ and keeping them massless outside $S$. We argue that the local Stueckelberg field $\phi_S$ can be responsible for color confinement. We also briefly discuss local breaking of symmetries in gravity. It is shown that framing of the tangent bundle over a subspace of space-time makes gravitons massive in this subspace.

[ { "created": "Fri, 1 Oct 2021 13:48:04 GMT", "version": "v1" }, { "created": "Tue, 5 Oct 2021 09:56:03 GMT", "version": "v2" }, { "created": "Tue, 19 Oct 2021 07:28:11 GMT", "version": "v3" } ]

2023-10-16

[ [ "Popov", "Alexander D.", "" ] ]

We consider Yang-Mills theory with a compact structure group $G$ on a Lorentzian 4-manifold $M={\mathbb R}\times\Sigma$ such that gauge transformations become identity on a submanifold $S$ of $\Sigma$ (framing over $S\subset\Sigma$). The space $S$ is not necessarily a boundary of $\Sigma$ and can have dimension $k\le 3$. Framing of gauge bundles over $S\subset\Sigma$ demands introduction of a $G$-valued function $\phi_S$ with support on $S$ and modification of Yang-Mills equations along ${\mathbb R}\times S\subset M$. The fields $\phi_S$ parametrize nonequivalent flat connections mapped into each other by a dynamical group ${\mathcal G}_S$ changing gauge frames over $S$. It is shown that the charged condensate $\phi_S$ is the Stueckelberg field generating an effective mass of gluons in the domain $S$ of space $\Sigma$ and keeping them massless outside $S$. We argue that the local Stueckelberg field $\phi_S$ can be responsible for color confinement. We also briefly discuss local breaking of symmetries in gravity. It is shown that framing of the tangent bundle over a subspace of space-time makes gravitons massive in this subspace.

7.334058

8.239022

7.847485

7.280682

7.367945

7.32532

7.578365

7.539642

7.175249

8.173398

6.950264

7.272527

7.313976

7.168037

7.37559

7.362917

7.365808

7.242784

7.550787

7.577107

7.191175

hep-th/9801142

null

A.V. Smilga, A.I. Veselov

BPS and non-BPS Domain Walls in Supersymmetric QCD with SU(3) Gauge Group

10 pages LaTeX, 5 postscript figures

Phys.Lett.B428:303-309,1998

10.1016/S0370-2693(98)00401-8

ITEP-TH-3/98

hep-th

null

We study the spectrum of the domain walls interpolating between different chirally asymmetric vacua in supersymmetric QCD with the SU(3) gauge group and including 2 pairs of chiral matter multiplets in fundamental and anti-fundamental representations. For small enough masses m < m* = .286... (in the units of \Lambda), there are two different domain wall solutions which are BPS-saturated and two types of ``wallsome sphalerons''. At m = m*, two BPS branches join together and, in the interval m* < m < m** = 3.704..., BPS equations have no solutions but there are solutions to the equations of motion describing a non-BPS domain wall and a sphaleron. For m > m**, there are no solutions whatsoever.

[ { "created": "Wed, 21 Jan 1998 15:23:11 GMT", "version": "v1" } ]

2016-09-06

[ [ "Smilga", "A. V.", "" ], [ "Veselov", "A. I.", "" ] ]

We study the spectrum of the domain walls interpolating between different chirally asymmetric vacua in supersymmetric QCD with the SU(3) gauge group and including 2 pairs of chiral matter multiplets in fundamental and anti-fundamental representations. For small enough masses m < m* = .286... (in the units of \Lambda), there are two different domain wall solutions which are BPS-saturated and two types of ``wallsome sphalerons''. At m = m*, two BPS branches join together and, in the interval m* < m < m** = 3.704..., BPS equations have no solutions but there are solutions to the equations of motion describing a non-BPS domain wall and a sphaleron. For m > m**, there are no solutions whatsoever.

9.283441

7.664814

9.504676

7.699862

6.989562

7.002247

7.623936

7.562018

7.638319

10.725477

7.648332

8.044337

8.992403

8.394379

8.46663

8.22533

8.196175

8.686525

8.16121

9.021877

8.292972

2307.15650

Yufan Wang

Zhaoting Guo, Yutong Li, Yiwen Pan, Yufan Wang

$\mathcal{N} = 2$ Schur index and line operators

72 pages, 9 figures, 5 tables

null

hep-th

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

4d $\mathcal{N} = 2$ SCFTs and their invariants can be often enriched by non-local BPS operators. In this paper we study the flavored Schur index of several types of N = 2 SCFTs with and without line operators, using a series of new integration formula of elliptic functions and Eisenstein series. We demonstrate how to evaluate analytically the Schur index for a series of $A_2$ class-$\mathcal{S}$ theories and the $\mathcal{N} = 4$ SO(7) theory. For all $A_1$ class-$\mathcal{S}$ theories we obtain closed-form expressions for SU(2) Wilson line index, and 't Hooft line index in some simple cases. We also observe the relation between the line operator index with the characters of the associated chiral algebras. Wilson line index for some other low rank gauge theories are also studied.

[ { "created": "Fri, 28 Jul 2023 16:14:03 GMT", "version": "v1" }, { "created": "Mon, 20 Nov 2023 00:51:57 GMT", "version": "v2" } ]

2023-11-21

[ [ "Guo", "Zhaoting", "" ], [ "Li", "Yutong", "" ], [ "Pan", "Yiwen", "" ], [ "Wang", "Yufan", "" ] ]

4d $\mathcal{N} = 2$ SCFTs and their invariants can be often enriched by non-local BPS operators. In this paper we study the flavored Schur index of several types of N = 2 SCFTs with and without line operators, using a series of new integration formula of elliptic functions and Eisenstein series. We demonstrate how to evaluate analytically the Schur index for a series of $A_2$ class-$\mathcal{S}$ theories and the $\mathcal{N} = 4$ SO(7) theory. For all $A_1$ class-$\mathcal{S}$ theories we obtain closed-form expressions for SU(2) Wilson line index, and 't Hooft line index in some simple cases. We also observe the relation between the line operator index with the characters of the associated chiral algebras. Wilson line index for some other low rank gauge theories are also studied.

8.715449

7.941454

9.178905

7.53254

8.331427

8.267016

7.950902

7.621669

7.478359

9.574838

7.801015

7.701686

8.296609

7.717511

7.525073

7.599217

7.497396

7.676965

7.778138

8.107816

7.307187

hep-th/0403283

Adriano Parodi

A. Parodi

K-theory in cutoff version of Vacuum String Field Theory

24 pages, no figures

null

SISSA 14/2004/fm

hep-th

null

Solutions of the Vacuum String Field Theory (VSFT) equation of motion involving matter part are given by projectors, and they represent nonperturbative solutions (e.g. the sliver) interpreted as D25-branes (or lower dimensional branes), but they are not mathematically well defined as they have zero norm. In this work we will use a regularization procedure based on the cutoff version of Moyal String Field Theory (MSFT), a particular version of VSFT, and we will see that both the sliver and the butterfly states, in this regime, have a good mathematical description. In particular they are exponential functions belonging to $\Sc(\RR^{2Nd})$, the space of Schwartzian functions equipped with the *-product. Then we prove that if we classify those regularized solutions with K-theory group built out of the C*-algebra $\bar{\Sc}(\RR^{2Nd})$ we find exactly the same result obtained considering a K-theoretic classification of D25-branes in usual string theory, using the topological K-theory of vector bundles over the D25-brane worldvolume. We then comment on the meaning of this result and possible physical implications.

[ { "created": "Tue, 30 Mar 2004 12:39:39 GMT", "version": "v1" } ]

2007-05-23

[ [ "Parodi", "A.", "" ] ]

Solutions of the Vacuum String Field Theory (VSFT) equation of motion involving matter part are given by projectors, and they represent nonperturbative solutions (e.g. the sliver) interpreted as D25-branes (or lower dimensional branes), but they are not mathematically well defined as they have zero norm. In this work we will use a regularization procedure based on the cutoff version of Moyal String Field Theory (MSFT), a particular version of VSFT, and we will see that both the sliver and the butterfly states, in this regime, have a good mathematical description. In particular they are exponential functions belonging to $\Sc(\RR^{2Nd})$, the space of Schwartzian functions equipped with the *-product. Then we prove that if we classify those regularized solutions with K-theory group built out of the C*-algebra $\bar{\Sc}(\RR^{2Nd})$ we find exactly the same result obtained considering a K-theoretic classification of D25-branes in usual string theory, using the topological K-theory of vector bundles over the D25-brane worldvolume. We then comment on the meaning of this result and possible physical implications.

10.147824

10.123775

12.062349

10.507767

11.505055

11.15911

11.185061

10.760006

10.349191

12.715115

10.225942

9.704895

11.07619

10.284651

10.255221

10.12842

9.936772

10.379414

10.17341

11.26135

10.243423

1210.7243

Marco Aurelio Cattacin Kneipp

Marco A. C. Kneipp and Paulo J. Liebgott

BPS Z(2) monopoles and N=2 SU(n) superconformal field theories on the Higgs branch

24 pages. Minor improvements in the text and typo corrections

Phys. Rev. D 87, 025024 (2013)

10.1103/PhysRevD.87.025024

null

hep-th

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

We obtain BPS Z(2) monopole solutions in Yang-Mills-Higgs theories with the gauge group SU(n) broken to Spin(n)/Z(2) by a scalar field in the nxn representation. We show that the magnetic weights of the so-called fundamental Z(2) monopoles correspond to the weights of the defining representation of the algebra dual to so(n), and the masses of the nonfundamental BPS Z(2) monopoles are equal to the sum of the masses of the constituent fundamental monopoles. We also show that the vacua responsible for the existence of these Z(2) monopoles are present in the Higgs branch of a class of N=2 SU(n) superconformal field theories. We analyze some dualities these monopoles may satisfy.

[ { "created": "Fri, 26 Oct 2012 20:04:38 GMT", "version": "v1" }, { "created": "Wed, 23 Jan 2013 17:25:30 GMT", "version": "v2" } ]

2013-01-24

[ [ "Kneipp", "Marco A. C.", "" ], [ "Liebgott", "Paulo J.", "" ] ]

We obtain BPS Z(2) monopole solutions in Yang-Mills-Higgs theories with the gauge group SU(n) broken to Spin(n)/Z(2) by a scalar field in the nxn representation. We show that the magnetic weights of the so-called fundamental Z(2) monopoles correspond to the weights of the defining representation of the algebra dual to so(n), and the masses of the nonfundamental BPS Z(2) monopoles are equal to the sum of the masses of the constituent fundamental monopoles. We also show that the vacua responsible for the existence of these Z(2) monopoles are present in the Higgs branch of a class of N=2 SU(n) superconformal field theories. We analyze some dualities these monopoles may satisfy.

6.262129

6.539329

7.21344

6.24319

6.098173

6.363823

6.596714

6.833985

6.020608

6.711504

6.008419

5.912768

6.159745

5.965054

6.031725

5.708846

5.744857

6.089556

5.899487

6.418237

5.863123

1906.02063

Runqiu Yang

Run-Qiu Yang, Yu-Sen An, Chao Niu, Cheng-Yong Zhang and Keun-Young Kim

To be unitary-invariant or not?: a simple but non-trivial proposal for the complexity between states in quantum mechanics/field theory

Added a section to argue that locality should be defined in an intrinsic way and invariant under unitary transformations; added references; fixed a few of typos

null

hep-th quant-ph

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

We make comments on some shortcomings of the non-unitary-invariant and non-bi-invariant complexity in quantum mechanics/field theory and argue that the unitary-invariant and bi-invariant complexity is still a competitive candidate in quantum mechanics/field theory, contrary to quantum circuits in quantum computation. Based on the unitary-invariance of the complexity and intuitions from the holographic complexity, we propose a novel complexity formula between two states. Our proposal shows that i) the complexity between certain states in two dimensional CFTs is given by the Liouville action, which is compatible with the path-integral complexity; ii) it also gives natural interpretation for both the CV and CA holographic conjectures and identify what the reference states are in both cases. Our proposal explicitly produces the conjectured time dependence of the complexity: linear growth in chaotic systems. Last but not least, we present interesting relations between the complexity and the Lyapunov exponent: the Lyapunov exponent is proportional to the complexity growth rate in linear growth region.

[ { "created": "Wed, 5 Jun 2019 15:03:46 GMT", "version": "v1" }, { "created": "Thu, 13 Jun 2019 15:27:24 GMT", "version": "v2" } ]

2019-06-14

[ [ "Yang", "Run-Qiu", "" ], [ "An", "Yu-Sen", "" ], [ "Niu", "Chao", "" ], [ "Zhang", "Cheng-Yong", "" ], [ "Kim", "Keun-Young", "" ] ]

We make comments on some shortcomings of the non-unitary-invariant and non-bi-invariant complexity in quantum mechanics/field theory and argue that the unitary-invariant and bi-invariant complexity is still a competitive candidate in quantum mechanics/field theory, contrary to quantum circuits in quantum computation. Based on the unitary-invariance of the complexity and intuitions from the holographic complexity, we propose a novel complexity formula between two states. Our proposal shows that i) the complexity between certain states in two dimensional CFTs is given by the Liouville action, which is compatible with the path-integral complexity; ii) it also gives natural interpretation for both the CV and CA holographic conjectures and identify what the reference states are in both cases. Our proposal explicitly produces the conjectured time dependence of the complexity: linear growth in chaotic systems. Last but not least, we present interesting relations between the complexity and the Lyapunov exponent: the Lyapunov exponent is proportional to the complexity growth rate in linear growth region.

10.87075

10.89246

12.670414

10.45892

11.170724

11.490885

12.060082

10.577508

10.898757

12.484135

10.903233

11.033642

10.913885

10.889153

11.401699

10.759314

10.646399

10.414403

10.642638

11.446384

10.54019

1609.04012

Brandon Robinson

Andreas Karch, Brandon Robinson, David Tong

More Abelian Dualities in 2+1 Dimensions

25 pages, 1 figure

null

10.1007/JHEP01(2017)017

null

hep-th

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

We expand on the recent derivation of 3d dualities using bosonization. We present in some detail a general class of Abelian duals.

[ { "created": "Tue, 13 Sep 2016 20:00:00 GMT", "version": "v1" }, { "created": "Thu, 17 Nov 2016 19:49:01 GMT", "version": "v2" } ]

2017-02-01

[ [ "Karch", "Andreas", "" ], [ "Robinson", "Brandon", "" ], [ "Tong", "David", "" ] ]

We expand on the recent derivation of 3d dualities using bosonization. We present in some detail a general class of Abelian duals.

20.314127

12.267097

18.681023

12.635141

11.988278

12.423228

12.288002

12.504752

12.137496

16.787878

13.308954

14.381483

19.608597

14.936763

13.912878

14.022072

15.210447

14.818234

14.653767

18.493961

14.172575

hep-th/9812240

Jan de Boer

Large N Elliptic Genus and AdS/CFT Correspondence

13 pages, LaTeX

JHEP 9905:017,1999

10.1088/1126-6708/1999/05/017

LBNL-42655

hep-th

null

According to one of Maldacena's dualities, type IIB string theory on AdS_3 X S^3 X K3 is equivalent to a certain N=(4,4) superconformal field theory. In this note we compute the elliptic genus of the boundary theory in the supergravity approximation. A finite quantity is obtained once we introduce a particular exclusion principle. In the regime where the supergravity approximation is reliable, we find exact agreement with the elliptic genus of a sigma model with target space K3^N/S_N.

[ { "created": "Tue, 29 Dec 1998 19:09:48 GMT", "version": "v1" } ]

2010-02-03

[ [ "de Boer", "Jan", "" ] ]

According to one of Maldacena's dualities, type IIB string theory on AdS_3 X S^3 X K3 is equivalent to a certain N=(4,4) superconformal field theory. In this note we compute the elliptic genus of the boundary theory in the supergravity approximation. A finite quantity is obtained once we introduce a particular exclusion principle. In the regime where the supergravity approximation is reliable, we find exact agreement with the elliptic genus of a sigma model with target space K3^N/S_N.

6.311783

4.865829

7.717483

5.432333

5.301435

5.717896

5.10923

5.564384

5.3236

7.798181

5.406724

5.56933

6.451003

5.402159

5.392381

5.417652

5.459584

5.288622

5.255155

6.091275

5.486434

2406.09033

Xin Jiang

Xin Jiang, Peng Wang, Houwen Wu and Haitang Yang

An alternative to purification in CFT

4 pages, 4 figures

null

CTU-SCU/2024005

hep-th

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

In conformal field theories, in contrast to \emph{adding} some auxiliary states into the bipartite mixed state $\rho_{AB}$ as the usual purifications do, we show a pure entangled state $\psi_{AB}$ can be constructed by \emph{subtracting} the undetectable regions. In this pure state $\psi_{AB}$, the von Neumann entropy $S_{\text{vN}}(A)$ naturally captures quantum entanglement between $A$ and $B$. We verify that $S_{\text{vN}}(A)$ is equal to the entanglement wedge cross-section $E_{W}$ in AdS spacetime, which is conjectured to be the holographic dual of the entanglement of purification. We show such constructed entanglement entropy has a phase transition. The ordinary entanglement entropies of critical and non-critical QFTs are simply limits of the two phases.

[ { "created": "Thu, 13 Jun 2024 12:07:03 GMT", "version": "v1" } ]

2024-06-14

[ [ "Jiang", "Xin", "" ], [ "Wang", "Peng", "" ], [ "Wu", "Houwen", "" ], [ "Yang", "Haitang", "" ] ]

In conformal field theories, in contrast to \emph{adding} some auxiliary states into the bipartite mixed state $\rho_{AB}$ as the usual purifications do, we show a pure entangled state $\psi_{AB}$ can be constructed by \emph{subtracting} the undetectable regions. In this pure state $\psi_{AB}$, the von Neumann entropy $S_{\text{vN}}(A)$ naturally captures quantum entanglement between $A$ and $B$. We verify that $S_{\text{vN}}(A)$ is equal to the entanglement wedge cross-section $E_{W}$ in AdS spacetime, which is conjectured to be the holographic dual of the entanglement of purification. We show such constructed entanglement entropy has a phase transition. The ordinary entanglement entropies of critical and non-critical QFTs are simply limits of the two phases.

6.975007

7.034255

7.633787

6.154162

6.78173

6.522264

7.034053

6.629797

6.002226

7.956321

6.41751

6.595057

6.978602

6.481748

6.400493

6.400568

6.53824

6.577093

6.416503

7.047482

6.513859

hep-th/9202082

null

Haye Hinrichsen and Vladimir Rittenberg

The Pokrovski-Talapov Phase Transitions and Quantum Groups

9 pages

null

hep-th

null

We show that the XY quantum chain in a magnetic field is invariant under a two parameter deformation of the $SU(1/1)$ superalgebra. One is led to an extension of the braid group and the Hecke algebras which reduce to the known ones when the two parameter coincide. The physical significance of the two parameters is discussed. When both are equal to one, one gets a Pokrovski-Talapov phase transition. We also show that the representation theory of the quantum superalgebras indicates how to take the appropriate thermodynamical limits.

[ { "created": "Mon, 24 Feb 1992 16:14:53 GMT", "version": "v1" } ]

2007-05-23

[ [ "Hinrichsen", "Haye", "" ], [ "Rittenberg", "Vladimir", "" ] ]

We show that the XY quantum chain in a magnetic field is invariant under a two parameter deformation of the $SU(1/1)$ superalgebra. One is led to an extension of the braid group and the Hecke algebras which reduce to the known ones when the two parameter coincide. The physical significance of the two parameters is discussed. When both are equal to one, one gets a Pokrovski-Talapov phase transition. We also show that the representation theory of the quantum superalgebras indicates how to take the appropriate thermodynamical limits.

11.059015

11.56332

14.284748

10.037621

12.147093

10.958992

12.001563

11.236687

11.832557

15.35248

10.647516

10.104544

10.866501

9.92068

10.408421

10.418936

11.067754

11.025738

10.311815

11.960703

10.722893

2005.12396

Arkady Tseytlin

Oscar Pasarin, Arkady A. Tseytlin

Generalised Schwarzschild metric from double copy of point-like charge solution in Born-Infeld theory

9 pages. v2: misprints corrected

null

10.1016/j.physletb.2020.135594

Imperial-TP-AT-2020-04

hep-th

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

We discuss possible application of classical double copy procedure to construction of a generalisation of the Schwarzschild metric starting from an $\alpha'$-corrected open string analogue of Coulomb solution. The latter is approximated by a point-like charge solution of the Born-Infeld action, which represents the open string effective action for an abelian vector field in the limit when derivatives of the field strength are small. The Born-Infeld solution has a regular electric field which is constant near the origin, suggesting that corrections from derivative terms in the open string effective action may be small there. The generalization of the Schwarschild metric obtained by the double copy construction from the Born-Infeld solution looks non-singular but the corresponding curvature invariants still blow up at $r=0$. We discuss the origin of this singularity and comment on possible generalisations.

[ { "created": "Mon, 25 May 2020 20:45:48 GMT", "version": "v1" }, { "created": "Thu, 25 Jun 2020 21:51:22 GMT", "version": "v2" } ]

2020-07-01

[ [ "Pasarin", "Oscar", "" ], [ "Tseytlin", "Arkady A.", "" ] ]

We discuss possible application of classical double copy procedure to construction of a generalisation of the Schwarzschild metric starting from an $\alpha'$-corrected open string analogue of Coulomb solution. The latter is approximated by a point-like charge solution of the Born-Infeld action, which represents the open string effective action for an abelian vector field in the limit when derivatives of the field strength are small. The Born-Infeld solution has a regular electric field which is constant near the origin, suggesting that corrections from derivative terms in the open string effective action may be small there. The generalization of the Schwarschild metric obtained by the double copy construction from the Born-Infeld solution looks non-singular but the corresponding curvature invariants still blow up at $r=0$. We discuss the origin of this singularity and comment on possible generalisations.

8.930144

8.139514

9.052097

7.915506

8.261471

8.618262

8.172403

8.071117

8.186615

8.720761

8.421717

8.453856

8.474572

8.271695

8.284067

8.536709

8.338466

8.363009

8.304107

8.740505

8.214534

1504.07955

Kumar Abhinav

Kumar Abhinav and Prasanta K. Panigrahi

Controlled Spin Transport in Planar Systems Through Topological Exciton

9 pages, 3 figures, References upgraded

null

hep-th cond-mat.other

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

It is shown that a charge-neutral spin-1 exciton, realizable only in planar systems like graphene, can effectively be used for controlled spin transport in such media. The excitonic bound state is destabilized by quantum fluctuations, characterized by a threshold for excitation and melts in a smooth manner under thermal fluctuations. This planar exciton differs from the conventional ones, as it owes its existence to the topological Chern-Simons (CS) term. The parity and time-reversal violating CS term can arise from quantum effects in systems with parity-breaking mass-gap. The spinning exciton naturally couples to magnetic field, leading to the possibility of controlled spin transport. Being neutral, it is immune to adverse effects, afflicting spin transport by charged fermions.

[ { "created": "Wed, 29 Apr 2015 18:39:07 GMT", "version": "v1" }, { "created": "Mon, 29 Jun 2015 17:09:49 GMT", "version": "v2" }, { "created": "Wed, 1 Jul 2015 10:42:56 GMT", "version": "v3" } ]

2015-07-02

[ [ "Abhinav", "Kumar", "" ], [ "Panigrahi", "Prasanta K.", "" ] ]

It is shown that a charge-neutral spin-1 exciton, realizable only in planar systems like graphene, can effectively be used for controlled spin transport in such media. The excitonic bound state is destabilized by quantum fluctuations, characterized by a threshold for excitation and melts in a smooth manner under thermal fluctuations. This planar exciton differs from the conventional ones, as it owes its existence to the topological Chern-Simons (CS) term. The parity and time-reversal violating CS term can arise from quantum effects in systems with parity-breaking mass-gap. The spinning exciton naturally couples to magnetic field, leading to the possibility of controlled spin transport. Being neutral, it is immune to adverse effects, afflicting spin transport by charged fermions.

16.75836

17.998337

17.220665

16.501741

16.959555

17.56859

18.11331

16.857698

15.73246

17.969185

15.773191

15.251877

16.414923

15.872814

15.856263

15.926162

15.442571

15.407741

15.330438

16.306114

15.755155

hep-th/0212103

H. Singh

Harvendra Singh

Note on (D6,D8) Bound State, Massive Duality and Non-commutativity

16 pages, JHEP3;v2: minor corrections & ref. added v3: paragraph added after eq.(3.6)

Nucl.Phys. B661 (2003) 394-408

10.1016/S0550-3213(03)00303-1

null

hep-th

null

In this paper we study half-supersymmetric (D6,D8) bound state brane configuration of massive type IIA supergravity. We show that this bound state can also be generated by using massive T-duality rules of type-II supergravities in D=9, starting from D7-branes. We write down corresponding Killing spinors and find that these backgrounds indeed preserve 16 supersymmetries like any other D$p$-brane bound state with $B$-field. We also make a point on the massive nature of the $B$-field in this background. The Seiberg-Witten limits to obtain 9-dimensional NCYMs are also discussed, but the full understanding of such gauge theories remains unanswered.

[ { "created": "Tue, 10 Dec 2002 14:47:20 GMT", "version": "v1" }, { "created": "Mon, 27 Jan 2003 08:41:59 GMT", "version": "v2" }, { "created": "Sat, 26 Apr 2003 05:20:45 GMT", "version": "v3" } ]

2010-04-05

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

In this paper we study half-supersymmetric (D6,D8) bound state brane configuration of massive type IIA supergravity. We show that this bound state can also be generated by using massive T-duality rules of type-II supergravities in D=9, starting from D7-branes. We write down corresponding Killing spinors and find that these backgrounds indeed preserve 16 supersymmetries like any other D$p$-brane bound state with $B$-field. We also make a point on the massive nature of the $B$-field in this background. The Seiberg-Witten limits to obtain 9-dimensional NCYMs are also discussed, but the full understanding of such gauge theories remains unanswered.

14.315504

12.267641

16.742065

12.286093

13.402303

12.41196

12.328111

11.824553

12.538777

17.113981

11.860705

11.912204

12.941

11.802561

11.824773

11.521251

11.51428

11.834895

11.951167

13.272977

11.970172

0902.1585

Bartosz Fornal

Bartosz Fornal, Benjamin Grinstein, Mark B. Wise

Lee-Wick Theories at High Temperature

14 pages, 2 figures

Phys.Lett.B674:330-335,2009

10.1016/j.physletb.2009.03.036

CALT 68-2720, UCSD PTH 09-02

hep-th astro-ph.CO hep-ph

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

An extension of the standard model, the Lee-Wick standard model, based on ideas of Lee and Wick was recently introduced. It does not contain quadratic divergences in the Higgs mass and hence solves the hierarchy puzzle. The Lee-Wick standard model contains new heavy Lee-Wick resonances at the TeV scale that decay to ordinary particles. In this paper we examine the behavior of Lee-Wick resonances at high temperature. We argue that they contribute negatively to the energy density rho and pressure p and at temperatures much greater than their mass M their O(T^4) contributions to rho and p cancel against those of the ordinary (light) particles. The remaining O(M^2*T^2) contributions are positive and result in an equation of state that approaches w=1 from below as T goes to infinity.

[ { "created": "Tue, 10 Feb 2009 20:52:31 GMT", "version": "v1" } ]

2009-05-18

[ [ "Fornal", "Bartosz", "" ], [ "Grinstein", "Benjamin", "" ], [ "Wise", "Mark B.", "" ] ]

An extension of the standard model, the Lee-Wick standard model, based on ideas of Lee and Wick was recently introduced. It does not contain quadratic divergences in the Higgs mass and hence solves the hierarchy puzzle. The Lee-Wick standard model contains new heavy Lee-Wick resonances at the TeV scale that decay to ordinary particles. In this paper we examine the behavior of Lee-Wick resonances at high temperature. We argue that they contribute negatively to the energy density rho and pressure p and at temperatures much greater than their mass M their O(T^4) contributions to rho and p cancel against those of the ordinary (light) particles. The remaining O(M^2*T^2) contributions are positive and result in an equation of state that approaches w=1 from below as T goes to infinity.

6.253701

6.106313

6.00771

5.560094

6.3396

6.088466

6.344314

6.288347

5.763442

6.701673

6.011041

6.059013

5.929918

5.827176

5.83192

6.175067

6.035789

6.195724

5.896297

6.107749

5.931094

hep-th/0501105

K. Alkalaev

K.B. Alkalaev

Mixed-symmetry massless gauge fields in AdS(5)

13 pages; v2: title changed, typos corrected, minor changes, reference added; v3: minor changes, published version

Theor.Math.Phys.149:1338-1348,2006; Teor.Mat.Fiz.149:47-59,2006

10.1007/s11232-006-0122-5

FIAN/TD/02/05

hep-th

null

Free AdS(5) mixed-symmetry massless bosonic and fermionic gauge fields of arbitrary spins are described by using su(2,2) spinor language. Manifestly covariant action functionals are constructed and field equations are derived.

[ { "created": "Fri, 14 Jan 2005 08:13:17 GMT", "version": "v1" }, { "created": "Mon, 7 Feb 2005 00:09:34 GMT", "version": "v2" }, { "created": "Mon, 14 Jan 2008 14:06:45 GMT", "version": "v3" } ]

2008-11-26

[ [ "Alkalaev", "K. B.", "" ] ]

Free AdS(5) mixed-symmetry massless bosonic and fermionic gauge fields of arbitrary spins are described by using su(2,2) spinor language. Manifestly covariant action functionals are constructed and field equations are derived.

10.734127

8.777678

10.459734

8.733877

8.991803

8.214188

8.03273

8.131366

7.716587

14.15407

8.68892

9.564531

9.087459

8.71173

8.742202

9.044335

8.375263

8.498548

8.5288

9.481068

8.625706

2206.00639

Alicia Herrero

Roberto Dale, Alicia Herrero and Juan Antonio Morales-Lladosa

Essential Fierz identities for a fermionic field

17 pages

null

10.1088/1402-4896/ace1b3

null

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

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

For a single fermionic field, an interpretation of the Fierz identities (which establish relations between the bilinear field observables) is given. They appear closely related to the algebraic class (regular or singular) of the spin 2-form $S$ associated to the spinor field. If $S \neq 0$, the Fierz identities follow from the 3+1 decomposition of the eigenvector equations for $S$ with respect to an inertial laboratory, which makes this interpretation suitable for fermionic particle physics models. When $S= 0$, the Fierz identities reduce to three constraints on the current densities associated with the spinor field, saying that they are orthogonal, equimodular, the vector current being timelike and the axial one being spacelike.

[ { "created": "Wed, 1 Jun 2022 17:20:17 GMT", "version": "v1" } ]

2023-07-26

[ [ "Dale", "Roberto", "" ], [ "Herrero", "Alicia", "" ], [ "Morales-Lladosa", "Juan Antonio", "" ] ]

For a single fermionic field, an interpretation of the Fierz identities (which establish relations between the bilinear field observables) is given. They appear closely related to the algebraic class (regular or singular) of the spin 2-form $S$ associated to the spinor field. If $S \neq 0$, the Fierz identities follow from the 3+1 decomposition of the eigenvector equations for $S$ with respect to an inertial laboratory, which makes this interpretation suitable for fermionic particle physics models. When $S= 0$, the Fierz identities reduce to three constraints on the current densities associated with the spinor field, saying that they are orthogonal, equimodular, the vector current being timelike and the axial one being spacelike.

11.55762

11.931651

11.391604

10.877216

12.831766

12.457625

11.819169

11.12639

11.204209

12.257768

11.339774

10.786038

10.646945

10.394278

11.07647

10.954767

11.297258

10.591817

10.556001

10.804701

10.618755

2102.00639

Mohammad R. Garousi

Minimal gauge invariant couplings at order $\ell_p^6$ in M-theory

41 pages, Latex file, no figure. arXiv admin note: substantial text overlap with arXiv:2006.09193; v2: the version appears in NPB

null

10.1016/j.nuclphysb.2022.115733

null

hep-th

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

Removing the field redefinitions, the Bianchi identities and the total derivative freedoms from the general form of the gauge invariant couplings at order $\ell_p^6$ for the bosonic fields of M-theory, we have found that the minimum number of independent couplings in the structures with even number of the three-form, is 1062. We find that there are schemes in which there is no coupling involving $R,\,R_{\mu\nu},\,\nabla_\mu F^{\mu\alpha\beta\gamma}$. In these schemes, there are sub-schemes in which, except one coupling which has the second derivative of $F^{(4)}$, the couplings can have no term with more than two derivatives. We find some of the parameters by dimensionally reducing the couplings on a circle and comparing them with the known couplings of the one-loop effective action of type IIA superstring theory. In particular, we find the coupling which has term with more than two derivatives is zero.

[ { "created": "Mon, 1 Feb 2021 05:12:50 GMT", "version": "v1" }, { "created": "Wed, 9 Mar 2022 05:31:22 GMT", "version": "v2" } ]

2022-04-06

[ [ "Garousi", "Mohammad R.", "" ] ]

Removing the field redefinitions, the Bianchi identities and the total derivative freedoms from the general form of the gauge invariant couplings at order $\ell_p^6$ for the bosonic fields of M-theory, we have found that the minimum number of independent couplings in the structures with even number of the three-form, is 1062. We find that there are schemes in which there is no coupling involving $R,\,R_{\mu\nu},\,\nabla_\mu F^{\mu\alpha\beta\gamma}$. In these schemes, there are sub-schemes in which, except one coupling which has the second derivative of $F^{(4)}$, the couplings can have no term with more than two derivatives. We find some of the parameters by dimensionally reducing the couplings on a circle and comparing them with the known couplings of the one-loop effective action of type IIA superstring theory. In particular, we find the coupling which has term with more than two derivatives is zero.

9.7307

7.870031

10.205274

8.327961

7.032863

7.577016

7.028863

7.949691

7.270148

10.700988

8.286781

8.304165

8.938382

8.270305

8.177801

8.10238

8.315577

8.1131

8.482468

9.118702

8.300619

1310.1421

William Long

William Long and Lucas Schuermann

Casimir Torque in Inhomogeneous Dielectric Plates

null

hep-th

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

In this work, we consider a torque caused by the well known quantum mechanical Casimir effect arising from quantized field fluctuations between plates with inhomogeneous, sharply discontinuous, dielectric properties. While the Casimir effect is a relatively well understood phenomenon, systems resulting in lateral or rotational forces are far less developed; to our knowledge, a theoretical study of discontinuous dielectric variants of such systems has not been attempted. We utilize a Proximity Force Approximation in conjunction with the Lifshitz dielectric formula to perform theoretical analyses of resultant torques in systems with bisected and quadrisected dielectric regions. We also develop a high precision Monte Carlo type numerical integrator to approximate our derived expressions. Our calculations of an energy density linear with the alignment angle result in a constant torque and have implications in NEMS (nano electromechanical systems) and MEMS (micro electromechanical systems), including a postulated nanoscale oscillating drive mechanism powered by quantum field interactions.

[ { "created": "Fri, 4 Oct 2013 23:05:42 GMT", "version": "v1" }, { "created": "Thu, 10 Oct 2013 15:47:51 GMT", "version": "v2" }, { "created": "Thu, 17 Apr 2014 10:28:16 GMT", "version": "v3" } ]

2014-04-18

[ [ "Long", "William", "" ], [ "Schuermann", "Lucas", "" ] ]

In this work, we consider a torque caused by the well known quantum mechanical Casimir effect arising from quantized field fluctuations between plates with inhomogeneous, sharply discontinuous, dielectric properties. While the Casimir effect is a relatively well understood phenomenon, systems resulting in lateral or rotational forces are far less developed; to our knowledge, a theoretical study of discontinuous dielectric variants of such systems has not been attempted. We utilize a Proximity Force Approximation in conjunction with the Lifshitz dielectric formula to perform theoretical analyses of resultant torques in systems with bisected and quadrisected dielectric regions. We also develop a high precision Monte Carlo type numerical integrator to approximate our derived expressions. Our calculations of an energy density linear with the alignment angle result in a constant torque and have implications in NEMS (nano electromechanical systems) and MEMS (micro electromechanical systems), including a postulated nanoscale oscillating drive mechanism powered by quantum field interactions.

15.616175

19.496857

17.32939

16.885164

18.019341

18.801924

17.233101

17.48019

17.544678

18.858177

16.343601

16.048399

15.645541

15.704215

16.033333

16.283825

15.865417

15.609902

15.918768

16.21129

15.490149

1704.00901

Johanna Knapp

David Erkinger, Johanna Knapp

Hemisphere Partition Function and Monodromy

32 pages, 4 figures

null

10.1007/JHEP05(2017)150

null

hep-th

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

We discuss D-brane monodromies from the point of view of the gauged linear sigma model. We give a prescription on how to extract monodromy matrices directly from the hemisphere partition function. We illustrate this procedure by recomputing the monodromy matrices associated to one-parameter Calabi-Yau hypersurfaces in weighted projected space.

[ { "created": "Tue, 4 Apr 2017 07:27:22 GMT", "version": "v1" } ]

2017-09-13

[ [ "Erkinger", "David", "" ], [ "Knapp", "Johanna", "" ] ]

We discuss D-brane monodromies from the point of view of the gauged linear sigma model. We give a prescription on how to extract monodromy matrices directly from the hemisphere partition function. We illustrate this procedure by recomputing the monodromy matrices associated to one-parameter Calabi-Yau hypersurfaces in weighted projected space.

6.179434

5.538408

8.404117

5.342504

5.357412

5.390344

5.224549

4.967842

5.07463

9.050332

5.850209

5.583081

6.967693

5.64175

5.90845

5.596466

5.572603

5.772657

5.648671

6.621615

5.720469

hep-th/0010164

Giuseppe Mussardo

Universal Ratios of the Renormalization Group

7 pages, JHEP proceedings style, talk presented at the TMR conference "Nonperturbative Quantum Effects 2000"

null

hep-th

null

The scaling form of the free--energy near a critical point allows for the definition of various universal ratios of thermodynamical amplitudes. Together with the critical exponents they characterize the universality classes and may be useful experimental quantities. We show how these universal quantities can be computed for a particular class of universality by using several Quantum Field Theory methods

[ { "created": "Thu, 19 Oct 2000 10:03:33 GMT", "version": "v1" } ]

2007-05-23

[ [ "Mussardo", "Giuseppe", "" ] ]

The scaling form of the free--energy near a critical point allows for the definition of various universal ratios of thermodynamical amplitudes. Together with the critical exponents they characterize the universality classes and may be useful experimental quantities. We show how these universal quantities can be computed for a particular class of universality by using several Quantum Field Theory methods

13.387441

10.094514

10.932955

10.980029

10.203186

11.491568

10.642441

10.571609

9.822514

13.030729

11.885483

11.372193

12.027366

11.138651

11.117365

11.580888

11.295001

11.480175

11.643373

12.428411

11.467521

2111.07453

Jacek Pawelczyk

Deforming integrable models of AdS$_3$ strings

16 pages, minor changes in layout and in grammar, some clarifications are added, new references

null

10.1142/S0217751X22500622

null

hep-th

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

We discuss an integrable model of string on AdS$_3$xS$^3$xT$^4$ in a thermodynamical bath. We show that scattering of the excitations above equilibrium states has some novel features. Thermodynamics points to interesting deformation of the original model for which we discuss finite size effect through mirror TBA equations.

[ { "created": "Sun, 14 Nov 2021 21:23:16 GMT", "version": "v1" }, { "created": "Fri, 17 Dec 2021 12:59:07 GMT", "version": "v2" } ]

2022-06-29

[ [ "Pawelczyk", "Jacek", "" ] ]

We discuss an integrable model of string on AdS$_3$xS$^3$xT$^4$ in a thermodynamical bath. We show that scattering of the excitations above equilibrium states has some novel features. Thermodynamics points to interesting deformation of the original model for which we discuss finite size effect through mirror TBA equations.

21.323931

17.175316

27.202341

19.838583

17.259367

19.112068

21.834126

18.092405

18.635098

28.477674

17.927555

19.108236

21.119202

18.940004

18.223207

17.94128

18.280117

18.531956

18.065811

21.92037

17.468132

1901.08038

Theodore Erler

Theodore Erler, Carlo Maccaferri, Ruggero Noris

Taming boundary condition changing operator anomalies with the tachyon vacuum

v3: 19 pages. Corrected error in (2.12)

null

hep-th

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

Motivated by the appearance of associativity anomalies in the context of superstring field theory, we give a generalized solution built from boundary condition changing operators which can be associated to a generic tachyon vacuum in the $KBc$ subalgebra of the Okawa form. We articulate sufficient conditions on the choice of tachyon vacuum to ensure that ambiguous products do not appear in the equations of motion.

[ { "created": "Wed, 23 Jan 2019 18:38:58 GMT", "version": "v1" }, { "created": "Thu, 30 May 2019 08:34:19 GMT", "version": "v2" }, { "created": "Wed, 26 Jun 2019 12:13:46 GMT", "version": "v3" } ]

2019-06-27

[ [ "Erler", "Theodore", "" ], [ "Maccaferri", "Carlo", "" ], [ "Noris", "Ruggero", "" ] ]

Motivated by the appearance of associativity anomalies in the context of superstring field theory, we give a generalized solution built from boundary condition changing operators which can be associated to a generic tachyon vacuum in the $KBc$ subalgebra of the Okawa form. We articulate sufficient conditions on the choice of tachyon vacuum to ensure that ambiguous products do not appear in the equations of motion.

19.682123

16.112923

21.772568

16.765678

20.120832

16.91976

18.173292

14.403324

16.380663

21.655264

16.597078

16.8748

21.0299

16.75441

17.012728

17.105511

17.259768

17.655439

17.358141

17.180542

17.134632

2005.07286

Edisom S. Moreira Jr.

E. S. Moreira Jr

Ambiguities in the local thermal behavior of the scalar radiation in one-dimensional boxes

26 pages, no figures. This version, except for stylistic changes, fits with the published version

Phys. Rev. D 102, 085014 (2020)

10.1103/PhysRevD.102.085014

null

hep-th gr-qc

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

This paper reports certain ambiguities in the calculation of the ensemble average $\left<T_\mu{}_\nu\right>$ of the stress-energy-momentum tensor of an arbitrarily coupled massless scalar field in one-dimensional boxes in flat spacetime. The study addresses a box with periodic boundary condition (a circle) and boxes with reflecting edges (with Dirichlet's or Neumann's boundary conditions at the endpoints). The expressions for $\left<T^\mu{}^\nu\right>$ are obtained from finite-temperature Green functions. In an appendix, in order to control divergences typical of two dimensions, these Green functions are calculated for related backgrounds with arbitrary number of dimensions and for scalar fields of arbitrary mass, and specialized in the text to two dimensions and for massless fields. The ambiguities arise due to the presence in $\left<T^\mu{}^\nu\right>$ of double series that are not absolutely convergent. The order in which the two associated summations are evaluated matters, leading to two different thermodynamics for each type of box. In the case of a circle, it is shown that the ambiguity corresponds to the classic controversy in the literature whether or not zero mode contributions should be taken into account in computations of partition functions. In the case of boxes with reflecting edges, it results that one of the thermodynamics corresponds to a total energy (obtained by integrating the non homogeneous energy density over space) that does not depend on the curvature coupling parameter $\xi$ as expected; whereas the other thermodynamics curiously corresponds to a total energy that does depend on $\xi$. Thermodynamic requirements (such as local and global stability) and their restrictions to the values of $\xi$ are considered.

[ { "created": "Thu, 14 May 2020 22:45:58 GMT", "version": "v1" }, { "created": "Tue, 27 Oct 2020 20:28:36 GMT", "version": "v2" } ]

2020-11-04

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

This paper reports certain ambiguities in the calculation of the ensemble average $\left<T_\mu{}_\nu\right>$ of the stress-energy-momentum tensor of an arbitrarily coupled massless scalar field in one-dimensional boxes in flat spacetime. The study addresses a box with periodic boundary condition (a circle) and boxes with reflecting edges (with Dirichlet's or Neumann's boundary conditions at the endpoints). The expressions for $\left<T^\mu{}^\nu\right>$ are obtained from finite-temperature Green functions. In an appendix, in order to control divergences typical of two dimensions, these Green functions are calculated for related backgrounds with arbitrary number of dimensions and for scalar fields of arbitrary mass, and specialized in the text to two dimensions and for massless fields. The ambiguities arise due to the presence in $\left<T^\mu{}^\nu\right>$ of double series that are not absolutely convergent. The order in which the two associated summations are evaluated matters, leading to two different thermodynamics for each type of box. In the case of a circle, it is shown that the ambiguity corresponds to the classic controversy in the literature whether or not zero mode contributions should be taken into account in computations of partition functions. In the case of boxes with reflecting edges, it results that one of the thermodynamics corresponds to a total energy (obtained by integrating the non homogeneous energy density over space) that does not depend on the curvature coupling parameter $\xi$ as expected; whereas the other thermodynamics curiously corresponds to a total energy that does depend on $\xi$. Thermodynamic requirements (such as local and global stability) and their restrictions to the values of $\xi$ are considered.

9.335186

9.953637

9.598636

9.123137

10.15645

9.813735

10.046629

9.51971

9.361717

10.18345

9.022035

9.302543

8.95268

9.113963

9.147243

9.304457

9.408507

9.150328

9.287424

9.079679

9.322573

hep-th/9811209

Christian Rupp

Johanna Erdmenger and Christian Rupp

Superconformal Ward Identities for Green Functions with Multiple Supercurrent Insertions

35 pages, AMSLaTeX Problems with older LaTeX versions fixed, no change of content

Annals Phys. 276 (1999) 152-187

10.1006/aphy.1999.5938

NTZ 34/1998

hep-th

null

Superconformal Ward identities for N=1 supersymmetric quantum field theories in four dimensions are convenienty obtained in the superfield formalism by combining diffeomorphisms and Weyl transformations on curved superspace. Using this approach we study the superconformal transformation properties of Green functions with one or more insertions of the supercurrent to all orders in perturbation theory. For the case of two insertions we pay particular attention to fixing the additional counterterms present, as well as to the purely geometrical anomalies which contribute to the transformation behaviour. Moreover we show in a scheme-independent way how the quasi-local terms in the Ward identities are related to similar terms which contribute to the supercurrent two and three point functions. Furthermore we relate our superfield approach to similar studies which use the component formalism by discussing the implications of our approach for the components of the supercurrent and of the supergravity prepotentials.

[ { "created": "Tue, 24 Nov 1998 15:37:59 GMT", "version": "v1" }, { "created": "Wed, 25 Nov 1998 14:22:09 GMT", "version": "v2" } ]

2009-10-31

[ [ "Erdmenger", "Johanna", "" ], [ "Rupp", "Christian", "" ] ]

Superconformal Ward identities for N=1 supersymmetric quantum field theories in four dimensions are convenienty obtained in the superfield formalism by combining diffeomorphisms and Weyl transformations on curved superspace. Using this approach we study the superconformal transformation properties of Green functions with one or more insertions of the supercurrent to all orders in perturbation theory. For the case of two insertions we pay particular attention to fixing the additional counterterms present, as well as to the purely geometrical anomalies which contribute to the transformation behaviour. Moreover we show in a scheme-independent way how the quasi-local terms in the Ward identities are related to similar terms which contribute to the supercurrent two and three point functions. Furthermore we relate our superfield approach to similar studies which use the component formalism by discussing the implications of our approach for the components of the supercurrent and of the supergravity prepotentials.

9.853442

9.153272

10.581594

8.950505

9.301347

8.623195

8.88736

8.788831

8.580206

10.400661

8.97096

8.966178

9.355889

9.05624

9.007215

8.608838

8.903747

8.831238

9.003241

9.424823

8.961695

1904.09141

Riccardo Conti

Riccardo Conti, Stefano Negro, Roberto Tateo

Conserved currents and $\text{T}\bar{\text{T}}_s$ irrelevant deformations of 2D integrable field theories

39 pages, 3 figures. v2: typos corrected, extended version with more results on the link between the classical and the quantum analysis

null

10.1007/JHEP11(2019)120

null

hep-th

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

It has been recently discovered that the $\text{T}\bar{\text{T}}$ deformation is closely-related to Jackiw-Teitelboim gravity. At classical level, the introduction of this perturbation induces an interaction between the stress-energy tensor and space-time and the deformed EoMs can be mapped, through a field-dependent change of coordinates, onto the corresponding undeformed ones. The effect of this perturbation on the quantum spectrum is non-perturbatively described by an inhomogeneous Burgers equation. In this paper, we point out that there exist infinite families of models where the geometry couples instead to generic combinations of local conserved currents labelled by the Lorentz spin. In spirit, these generalisations are similar to the $\text{J}\bar{\text{T}}$ model as the resulting theories and the corresponding scattering phase factors are not Lorentz invariant. The link with the $\text{J}\bar{\text{T}}$ model is discussed in detail. While the classical setup described here is very general, we shall use the sine-Gordon model and its CFT limit as explanatory quantum examples. Most of the final equations and considerations are, however, of broader validity or easily generalisable to more complicated systems.

[ { "created": "Fri, 19 Apr 2019 10:49:04 GMT", "version": "v1" }, { "created": "Thu, 12 Sep 2019 14:03:22 GMT", "version": "v2" } ]

2020-01-08

[ [ "Conti", "Riccardo", "" ], [ "Negro", "Stefano", "" ], [ "Tateo", "Roberto", "" ] ]

It has been recently discovered that the $\text{T}\bar{\text{T}}$ deformation is closely-related to Jackiw-Teitelboim gravity. At classical level, the introduction of this perturbation induces an interaction between the stress-energy tensor and space-time and the deformed EoMs can be mapped, through a field-dependent change of coordinates, onto the corresponding undeformed ones. The effect of this perturbation on the quantum spectrum is non-perturbatively described by an inhomogeneous Burgers equation. In this paper, we point out that there exist infinite families of models where the geometry couples instead to generic combinations of local conserved currents labelled by the Lorentz spin. In spirit, these generalisations are similar to the $\text{J}\bar{\text{T}}$ model as the resulting theories and the corresponding scattering phase factors are not Lorentz invariant. The link with the $\text{J}\bar{\text{T}}$ model is discussed in detail. While the classical setup described here is very general, we shall use the sine-Gordon model and its CFT limit as explanatory quantum examples. Most of the final equations and considerations are, however, of broader validity or easily generalisable to more complicated systems.

11.345981

11.095593

12.723408

10.552684

11.354735

10.853653

11.934385

10.066719

10.535069

12.535961

10.583626

10.048102

10.838969

10.524676

10.300564

10.172508

10.141623

10.152185

10.099367

11.131089

10.350583

hep-th/9704022

Cornwall John

John M. Cornwall (UCLA)

Speculations on Primordial Magnetic Helicity

Latex, 23 pages

Phys.Rev. D56 (1997) 6146-6154

10.1103/PhysRevD.56.6146

UCLA/97/TEP/7

hep-th astro-ph

null

We speculate that above or just below the electroweak phase transition magnetic fields are generated which have a net helicity (otherwise said, a Chern-Simons term) of order of magnitude $N_B + N_L$, where $N_{B,L}$ is the baryon or lepton number today. (To be more precise requires much more knowledge of B,L-generating mechanisms than we currently have.) Electromagnetic helicity generation is associated (indirectly) with the generation of electroweak Chern-Simons number through B+L anomalies. This helicity, which in the early universe is some 30 orders of magnitude greater than what would be expected from fluctuations alone in the absence of B+L violation, should be reasonably well-conserved through the evolution of the universe to around the times of matter dominance and decoupling, because the early universe is an excellent conductor. Possible consequences include early structure formation; macroscopic manifestations of CP violation in the cosmic magnetic field (measurable at least in principle, if not in practice); and an inverse-cascade dynamo mechanism in which magnetic fields and helicity are unstable to transfer to larger and larger spatial scales. We give a quasi-linear treatment of the general-relativistic MHD inverse cascade instability, finding substantial growth for helicity of the assumed magnitude out to scales $\sim l_M\epsilon^{-1}$, where $\epsilon$ is roughly the B+L to photon ratio and $l_M$ is the magnetic correlation length. We also elaborate further on an earlier proposal of the author for generation of magnetic fields above the EW phase transition.

[ { "created": "Thu, 3 Apr 1997 00:32:01 GMT", "version": "v1" } ]

2009-10-30

[ [ "Cornwall", "John M.", "", "UCLA" ] ]

We speculate that above or just below the electroweak phase transition magnetic fields are generated which have a net helicity (otherwise said, a Chern-Simons term) of order of magnitude $N_B + N_L$, where $N_{B,L}$ is the baryon or lepton number today. (To be more precise requires much more knowledge of B,L-generating mechanisms than we currently have.) Electromagnetic helicity generation is associated (indirectly) with the generation of electroweak Chern-Simons number through B+L anomalies. This helicity, which in the early universe is some 30 orders of magnitude greater than what would be expected from fluctuations alone in the absence of B+L violation, should be reasonably well-conserved through the evolution of the universe to around the times of matter dominance and decoupling, because the early universe is an excellent conductor. Possible consequences include early structure formation; macroscopic manifestations of CP violation in the cosmic magnetic field (measurable at least in principle, if not in practice); and an inverse-cascade dynamo mechanism in which magnetic fields and helicity are unstable to transfer to larger and larger spatial scales. We give a quasi-linear treatment of the general-relativistic MHD inverse cascade instability, finding substantial growth for helicity of the assumed magnitude out to scales $\sim l_M\epsilon^{-1}$, where $\epsilon$ is roughly the B+L to photon ratio and $l_M$ is the magnetic correlation length. We also elaborate further on an earlier proposal of the author for generation of magnetic fields above the EW phase transition.

11.092763

12.947971

11.634394

10.917139

12.886371

12.694534

12.292422

11.853601

10.909723

12.360518

11.595321

11.263932

10.853312

10.755095

10.882915

11.151384

11.047565

10.938521

10.716815

11.137413

10.855328

hep-th/0702081

Tonguc Rador

Tongu\c{c} Rador

f(R) Gravities \`a la Brans-Dicke

null

Phys.Lett.B652:228-232,2007

10.1016/j.physletb.2007.07.034

null

hep-th

null

We extend f(R) theories via the addition of a fundamental scalar field. The approach is reminiscent of the dilaton field of string theory and the Brans-Dicke model. f(R) theories attracted much attention recently in view of their potential to explain the acceleration of the universe. Extending f(R) models to theories with scalars can be motivated from the low energy effective action of string theory. There, a fundamental scalar (the dilaton), has a non-minimal coupling to the Ricci scalar. Furthermore beyond tree level actions will contain terms having higher (or lower) powers of R compared to the canonical Einstein-Hilbert term. Theories with f(R) will contain an extra scalar degree on top of the ad-hoc dilaton and mixing of these two modes around a stable solution is a concern. In this work we show that no mixing condition mandates the form $V_{1}(\phi)f(R)+V_{2}(\phi)R^{2}$ for the action.

[ { "created": "Sun, 11 Feb 2007 13:45:35 GMT", "version": "v1" }, { "created": "Fri, 4 May 2007 09:51:11 GMT", "version": "v2" }, { "created": "Tue, 10 Jul 2007 08:45:11 GMT", "version": "v3" } ]

2008-11-26

[ [ "Rador", "Tonguç", "" ] ]

We extend f(R) theories via the addition of a fundamental scalar field. The approach is reminiscent of the dilaton field of string theory and the Brans-Dicke model. f(R) theories attracted much attention recently in view of their potential to explain the acceleration of the universe. Extending f(R) models to theories with scalars can be motivated from the low energy effective action of string theory. There, a fundamental scalar (the dilaton), has a non-minimal coupling to the Ricci scalar. Furthermore beyond tree level actions will contain terms having higher (or lower) powers of R compared to the canonical Einstein-Hilbert term. Theories with f(R) will contain an extra scalar degree on top of the ad-hoc dilaton and mixing of these two modes around a stable solution is a concern. In this work we show that no mixing condition mandates the form $V_{1}(\phi)f(R)+V_{2}(\phi)R^{2}$ for the action.

10.189487

10.127925

10.067931

9.85226

10.993239

10.830631

11.259696

10.91969

10.541946

11.273462

10.215989

10.226067

10.030923

9.990689

10.141076

9.967345

10.163795

10.291999

10.137131

9.904879

9.747445

hep-th/0609168

Nicola Caporaso

Nicola Caporaso and Sara Pasquetti

Non-Commutative (Softly Broken) Supersymmetric Yang-Mills-Chern-Simons

42 pages, 11 figures, uses Axodraw. Bibliography revised

null

hep-th hep-ph

null

We study d=2+1 non-commutative U(1) YMCS, concentrating on the one-loop corrections to the propagator and to the dispersion relations. Unlike its commutative counterpart, this model presents divergences and hence an IR/UV mechanism, which we regularize by adding a Majorana gaugino of mass m_f, that provides (softly broken) supersymmetry. The perturbative vacuum becomes stable for a wide range of coupling and mass values, and tachyonic modes are generated only in two regions of the parameters space. One such region corresponds to removing the supersymmetric regulator (m_f >> m_g), restoring the well-known IR/UV mixing phenomenon. The other one (for m_f ~ m_g/2 and large \theta) is novel and peculiar of this model. The two tachyonic regions turn out to be very different in nature. We conclude with some remarks on the theory's off-shell unitarity.

[ { "created": "Mon, 25 Sep 2006 16:12:22 GMT", "version": "v1" }, { "created": "Tue, 26 Sep 2006 19:33:54 GMT", "version": "v2" }, { "created": "Fri, 6 Oct 2006 19:11:33 GMT", "version": "v3" } ]

2007-05-23

[ [ "Caporaso", "Nicola", "" ], [ "Pasquetti", "Sara", "" ] ]

We study d=2+1 non-commutative U(1) YMCS, concentrating on the one-loop corrections to the propagator and to the dispersion relations. Unlike its commutative counterpart, this model presents divergences and hence an IR/UV mechanism, which we regularize by adding a Majorana gaugino of mass m_f, that provides (softly broken) supersymmetry. The perturbative vacuum becomes stable for a wide range of coupling and mass values, and tachyonic modes are generated only in two regions of the parameters space. One such region corresponds to removing the supersymmetric regulator (m_f >> m_g), restoring the well-known IR/UV mixing phenomenon. The other one (for m_f ~ m_g/2 and large \theta) is novel and peculiar of this model. The two tachyonic regions turn out to be very different in nature. We conclude with some remarks on the theory's off-shell unitarity.

11.445486

11.706239

13.087028

11.295185

12.295941

12.256455

12.298211

12.438177

11.349495

13.828154

11.568489

10.87948

11.641733

11.167808

11.212592

10.880363

11.30548

11.199977

10.937283

11.547956

11.0189

1402.3652

Mohammad Reza Setare

M. R. Setare, and A. Seyedzahedi

Lateral Casimir Force between Two Sinusoidally Corrugated Eccentric Cylinders Using Proximity Force Approximation

12 pages, 1 figure

null

10.5506/APhysPolB.45.1119

null

hep-th

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

This paper is devoted to the presentation of the lateral Casimir force between two sinusoidally corrugated eccentric cylinders. Despite that applying scattering matrix method explains the problem exactly, procedure of applying this method is somehow complicated specially at nonzero temperature. Using the proximity force approximation (PFA) helps to achieve the lateral Casimir force in a truly explicit manner. We assume the cylinders to be slightly eccentric with similar radiuses and separations much smaller than corrugations' wave length for the validity of PFA. For such short distances the effect of finite conductivity would be non negligible. In addition to the effect of finite conductivity, we investigate thermal corrections of the lateral Casimir force to reduce the inaccuracy of the result obtained by PFA. Assuming the Casimir force density between two parallel plates, the normal Casimir force between two cylinders is obtained. With the aid of additive summation of the Casimir energy between cylinders without corrugation, we obtain the lateral Casimir force between corrugated cylinders.

[ { "created": "Sat, 15 Feb 2014 05:58:31 GMT", "version": "v1" } ]

2015-06-18

[ [ "Setare", "M. R.", "" ], [ "Seyedzahedi", "A.", "" ] ]

This paper is devoted to the presentation of the lateral Casimir force between two sinusoidally corrugated eccentric cylinders. Despite that applying scattering matrix method explains the problem exactly, procedure of applying this method is somehow complicated specially at nonzero temperature. Using the proximity force approximation (PFA) helps to achieve the lateral Casimir force in a truly explicit manner. We assume the cylinders to be slightly eccentric with similar radiuses and separations much smaller than corrugations' wave length for the validity of PFA. For such short distances the effect of finite conductivity would be non negligible. In addition to the effect of finite conductivity, we investigate thermal corrections of the lateral Casimir force to reduce the inaccuracy of the result obtained by PFA. Assuming the Casimir force density between two parallel plates, the normal Casimir force between two cylinders is obtained. With the aid of additive summation of the Casimir energy between cylinders without corrugation, we obtain the lateral Casimir force between corrugated cylinders.

11.36746

13.042381

11.737989

11.165712

13.073464

11.482102

13.046054

11.658081

11.482802

13.289648

11.946092

11.834785

11.735735

11.067174

11.613583

11.775408

11.436127

11.393025

11.457726

11.408478

11.604934

1104.2423

Ben Hoare

B. Hoare and A. A. Tseytlin

Towards the quantum S-matrix of the Pohlmeyer reduced version of AdS_5 x S^5 superstring theory

61 pages, 2 figures; v2: minor corrections and reference added; v3: minor corrections

Nucl.Phys.B851:161-237,2011

10.1016/j.nuclphysb.2011.05.016

Imperial-TP-BH-2011-01

hep-th

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

We investigate the structure of the quantum S-matrix for perturbative excitations of the Pohlmeyer reduced version of the AdS_5 x S^5 superstring following arXiv:0912.2958. The reduced theory is a fermionic extension of a gauged WZW model with an integrable potential. We use as an input the result of the one-loop perturbative scattering amplitude computation and an analogy with simpler reduced AdS_n x S^n theories with n=2,3. The n=2 theory is equivalent to the N=2 2-d supersymmetric sine-Gordon model for which the exact quantum S-matrix is known. In the n=3 case the one-loop perturbative S-matrix, improved by a contribution of a local counterterm, satisfies the group factorization property and the Yang-Baxter equation, and reveals the existence of a novel quantum-deformed 2-d supersymmetry which is not manifest in the action. The one-loop perturbative S-matrix of the reduced AdS_5 x S^5 theory has the group factorisation property but does not satisfy the Yang-Baxter equation suggesting some subtlety with the realisation of quantum integrability. As a possible resolution, we propose that the S-matrix of this theory may be identified with the quantum-deformed [psu(2|2)]^2 x R^2 symmetric R-matrix constructed in arXiv:1002.1097. We conjecture the exact all-order form of this S-matrix and discuss its possible relation to the perturbative S-matrix defined by the path integral. As in the AdS_3 x S^3 case the symmetry of the S-matrix may be interpreted as an extended quantum-deformed 2-d supersymmetry.

[ { "created": "Wed, 13 Apr 2011 09:23:47 GMT", "version": "v1" }, { "created": "Mon, 23 May 2011 14:55:17 GMT", "version": "v2" }, { "created": "Mon, 3 Dec 2012 17:07:43 GMT", "version": "v3" } ]

2015-03-19

[ [ "Hoare", "B.", "" ], [ "Tseytlin", "A. A.", "" ] ]

We investigate the structure of the quantum S-matrix for perturbative excitations of the Pohlmeyer reduced version of the AdS_5 x S^5 superstring following arXiv:0912.2958. The reduced theory is a fermionic extension of a gauged WZW model with an integrable potential. We use as an input the result of the one-loop perturbative scattering amplitude computation and an analogy with simpler reduced AdS_n x S^n theories with n=2,3. The n=2 theory is equivalent to the N=2 2-d supersymmetric sine-Gordon model for which the exact quantum S-matrix is known. In the n=3 case the one-loop perturbative S-matrix, improved by a contribution of a local counterterm, satisfies the group factorization property and the Yang-Baxter equation, and reveals the existence of a novel quantum-deformed 2-d supersymmetry which is not manifest in the action. The one-loop perturbative S-matrix of the reduced AdS_5 x S^5 theory has the group factorisation property but does not satisfy the Yang-Baxter equation suggesting some subtlety with the realisation of quantum integrability. As a possible resolution, we propose that the S-matrix of this theory may be identified with the quantum-deformed [psu(2|2)]^2 x R^2 symmetric R-matrix constructed in arXiv:1002.1097. We conjecture the exact all-order form of this S-matrix and discuss its possible relation to the perturbative S-matrix defined by the path integral. As in the AdS_3 x S^3 case the symmetry of the S-matrix may be interpreted as an extended quantum-deformed 2-d supersymmetry.

6.11747

5.692803

6.731232

5.77873

5.956748

5.894755

5.743957

5.653186

5.713336

6.854555

5.799205

5.904381

6.153455

5.943928

5.89667

5.881764

5.814338

6.016656

5.883888

6.215287

5.926876

0906.1255

Takahiro Kubota

Kyosuke Hotta, Yoshifumi Hyakutake, Takahiro Kubota, Takahiro Nishinaka and Hiroaki Tanida

Left-Right Asymmetric Holographic RG Flow with Gravitational Chern-Simons Term

14 pages, no figure, a few references added

Phys.Lett.B680:279-285,2009

10.1016/j.physletb.2009.08.060

OU-HET 630, KEK-TH-1316

hep-th

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

We consider the holographic renormalization group (RG) flow in three dimensional gravity with the gravitational Chern-Simons term coupled to some scalar fields. We apply the canonical approach to this higher derivative case and employ the Hamilton-Jacobi formalism to analyze the flow equations of two dimensional field theory. Especially we obtain flow equations of Weyl and gravitational anomalies, and derive $c$-functions for left and right moving modes. Both of them are monotonically non-increasing along the flow, and the difference between them is determined by the coefficient of the gravitational Chern-Simons term. This is completely consistent with the Zamolodchikov's $c$-theorem for parity-violating two-dimensional quantum field theories.

[ { "created": "Sat, 6 Jun 2009 08:09:12 GMT", "version": "v1" }, { "created": "Mon, 15 Jun 2009 10:07:48 GMT", "version": "v2" } ]

2014-11-20

[ [ "Hotta", "Kyosuke", "" ], [ "Hyakutake", "Yoshifumi", "" ], [ "Kubota", "Takahiro", "" ], [ "Nishinaka", "Takahiro", "" ], [ "Tanida", "Hiroaki", "" ] ]

We consider the holographic renormalization group (RG) flow in three dimensional gravity with the gravitational Chern-Simons term coupled to some scalar fields. We apply the canonical approach to this higher derivative case and employ the Hamilton-Jacobi formalism to analyze the flow equations of two dimensional field theory. Especially we obtain flow equations of Weyl and gravitational anomalies, and derive $c$-functions for left and right moving modes. Both of them are monotonically non-increasing along the flow, and the difference between them is determined by the coefficient of the gravitational Chern-Simons term. This is completely consistent with the Zamolodchikov's $c$-theorem for parity-violating two-dimensional quantum field theories.

6.955287

6.682689

7.383724

6.378509

6.519917

6.515134

6.87217

6.257526

6.273924

7.926883

6.384329

6.4146

6.793054

6.42076

6.609447

6.667971

6.627972

6.506146

6.546676

6.93971

6.554708

1412.5365

Arif Mohd

A note on asymptotic symmetries and soft-photon theorem

21 pages, 0 figures, references added, acknowledgments updated. This version accepted for publication in JHEP

null

10.1007/JHEP02(2015)060

null

hep-th gr-qc

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

We use the asymptotic data at conformal null-infinity $\mathscr{I}$ to formulate Weinberg's soft-photon theorem for Abelian gauge theories with massless charged particles. We show that the angle-dependent gauge transformations at $\mathscr{I}$ are not merely a gauge redundancy, instead they are genuine symmetries of the radiative phase space. In the presence of these symmetries, Poisson bracket between the gauge potentials is not well-defined. This does not pose an obstacle for the quantization of the radiative phase space, which proceeds by treating the conjugate electric field as the fundamental variable. Denoting by $\mathcal{G}_+$ and $\mathcal{G}_-$ as the group of gauge transformations at $\mathscr{I}^+$ and $\mathscr{I}^-$ respectively, Strominger has shown that a certain diagonal subgroup $ \mathcal{G}_{diag} \subset \mathcal{G}_+ \times \mathcal{G}_-$ is the symmetry of the S-matrix and Weinberg's soft-photon theorem is the corresponding Ward identity. We give a systematic derivation of this result for Abelian gauge theories with massless charged particles. Our derivation is a slight generalization of the existing derivations since it is applicable even when the bulk spacetime is not exactly flat, but is only "almost" Minkowskian.

[ { "created": "Wed, 17 Dec 2014 12:43:12 GMT", "version": "v1" }, { "created": "Tue, 13 Jan 2015 20:37:43 GMT", "version": "v2" } ]

2015-06-23

[ [ "Mohd", "Arif", "" ] ]

We use the asymptotic data at conformal null-infinity $\mathscr{I}$ to formulate Weinberg's soft-photon theorem for Abelian gauge theories with massless charged particles. We show that the angle-dependent gauge transformations at $\mathscr{I}$ are not merely a gauge redundancy, instead they are genuine symmetries of the radiative phase space. In the presence of these symmetries, Poisson bracket between the gauge potentials is not well-defined. This does not pose an obstacle for the quantization of the radiative phase space, which proceeds by treating the conjugate electric field as the fundamental variable. Denoting by $\mathcal{G}_+$ and $\mathcal{G}_-$ as the group of gauge transformations at $\mathscr{I}^+$ and $\mathscr{I}^-$ respectively, Strominger has shown that a certain diagonal subgroup $ \mathcal{G}_{diag} \subset \mathcal{G}_+ \times \mathcal{G}_-$ is the symmetry of the S-matrix and Weinberg's soft-photon theorem is the corresponding Ward identity. We give a systematic derivation of this result for Abelian gauge theories with massless charged particles. Our derivation is a slight generalization of the existing derivations since it is applicable even when the bulk spacetime is not exactly flat, but is only "almost" Minkowskian.

5.575763

5.757676

5.742351

5.323624

5.959223

5.786035

5.847713

5.241771

5.569305

5.826281

5.50482

5.425203

5.444709

5.262536

5.400091

5.365263

5.416848

5.267915

5.364038

5.421224

5.317264

1812.02495

A. Yu. Petrov

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

Effective Potential in the 3D Massive 2-form Gauge Superfield Theory

13 pages, version accepted to PLB

null

10.1016/j.physletb.2019.02.052

null

hep-th

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

In the $\mathcal{N}=1$, $d=3$ superspace, we propose a massive superfield theory formulated in terms of a spinor gauge superfield, whose component content includes a two-form field, and a real scalar matter superfield. For this model, we explicitly calculate the one-loop correction to the superfield effective potential. In particular, we show that the one-loop effective potential is independent the gauge-fixing parameters.

[ { "created": "Thu, 6 Dec 2018 12:34:02 GMT", "version": "v1" }, { "created": "Thu, 14 Feb 2019 20:46:09 GMT", "version": "v2" } ]

2019-07-11

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

In the $\mathcal{N}=1$, $d=3$ superspace, we propose a massive superfield theory formulated in terms of a spinor gauge superfield, whose component content includes a two-form field, and a real scalar matter superfield. For this model, we explicitly calculate the one-loop correction to the superfield effective potential. In particular, we show that the one-loop effective potential is independent the gauge-fixing parameters.

7.885718

5.754358

7.707951

5.832994

6.092241

6.123653

5.934664

6.007885

5.870548

8.92493

5.671436

6.462635

7.241252

6.447557

6.317159

6.353961

6.196898

6.122413

6.4241

7.055999

6.24155

hep-th/9801178

J. W. van Holten

P.D. Jarvis, J.W. van Holten and J. Kowalski-Glikman

Off shell $\kappa$-symmetry of the superparticle and the spinning superparticle

9 pages, no figs

Phys.Lett.B427:47-52,1998

10.1016/S0370-2693(98)00252-4

NIKHEF/98-002 and UTAS-PHYS-97-33

hep-th

null

The spinorial local world-line $\kappa$-symmetry of the covariant Brink-Schwarz formulation of the 4-$D$ superparticle is abelian in an off-shell phase-space formulation. The result is shown to generalize to the extended spinorial transformations of the spinning superparticle.

[ { "created": "Tue, 27 Jan 1998 10:39:12 GMT", "version": "v1" } ]

2009-11-05

[ [ "Jarvis", "P. D.", "" ], [ "van Holten", "J. W.", "" ], [ "Kowalski-Glikman", "J.", "" ] ]

The spinorial local world-line $\kappa$-symmetry of the covariant Brink-Schwarz formulation of the 4-$D$ superparticle is abelian in an off-shell phase-space formulation. The result is shown to generalize to the extended spinorial transformations of the spinning superparticle.

17.287727

18.331184

16.930683

16.006433

15.745425

17.076956

16.066132

17.818867

15.652936

21.193615

15.683067

14.66637

16.563791

14.816744

14.283119

14.560211

13.919475

15.086017

13.777143

17.86442

14.65971

0707.2149

Jochen Zahn

Dispersion relations in quantum electrodynamics on the noncommutative Minkowski space

137 pages, 2 figures, PhD thesis

null

DESY-THESIS-2006-037

hep-th

null

We study field theories on the noncommutative Minkowski space with noncommuting time. The focus lies on dispersion relations in quantized interacting models in the Yang-Feldman formalism. In particular, we compute the two-point correlation function of the field strength in noncommutative quantum electrodynamics to second order. At this, we take into account the covariant coordinates that allow the construction of local gauge invariant quantities (observables). It turns out that this does not remove the well-known severe infrared problem, as one might have hoped. Instead, things become worse, since nonlocal divergences appear. We also show that these cancel in a supersymmetric version of the theory if the covariant coordinates are adjusted accordingly. Furthermore, we study the phi^3 and the Wess-Zumino model and show that the distortion of the dispersion relations is moderate for parameters typical for the Higgs field. We also disuss the formulation of gauge theories on noncommutative spaces and study classical electrodynamics on the noncommutative Minkowski space using covariant coordinates. In particular, we compute the change of the speed of light due to nonlinear effects in the presence of a background field. Finally, we examine the so-called twist approach to quantum field theory on the noncommutative Minkowski space and point out some conceptual problems of this approach.

[ { "created": "Sat, 14 Jul 2007 11:16:04 GMT", "version": "v1" } ]

2007-07-17

[ [ "Zahn", "Jochen", "" ] ]

We study field theories on the noncommutative Minkowski space with noncommuting time. The focus lies on dispersion relations in quantized interacting models in the Yang-Feldman formalism. In particular, we compute the two-point correlation function of the field strength in noncommutative quantum electrodynamics to second order. At this, we take into account the covariant coordinates that allow the construction of local gauge invariant quantities (observables). It turns out that this does not remove the well-known severe infrared problem, as one might have hoped. Instead, things become worse, since nonlocal divergences appear. We also show that these cancel in a supersymmetric version of the theory if the covariant coordinates are adjusted accordingly. Furthermore, we study the phi^3 and the Wess-Zumino model and show that the distortion of the dispersion relations is moderate for parameters typical for the Higgs field. We also disuss the formulation of gauge theories on noncommutative spaces and study classical electrodynamics on the noncommutative Minkowski space using covariant coordinates. In particular, we compute the change of the speed of light due to nonlinear effects in the presence of a background field. Finally, we examine the so-called twist approach to quantum field theory on the noncommutative Minkowski space and point out some conceptual problems of this approach.

6.744842

7.393281

7.70644

7.291154

7.191905

6.821827

7.121615

7.036353

7.068567

7.879219

6.915718

7.153265

7.160708

7.087759

7.327616

7.247329

7.154238

7.228134

7.018547

7.216422

7.018568

hep-th/9311100

Kimyeong Lee

Ki-Myeong Lee

Vortex Dynamics in Selfdual Maxwell-Higgs Systems with Uniform Background Electric Charge Density

24 pages + 2 figures ( not included), Cu-TP-611, IASSNS-HEP-93/33, NSF-ITP-93-135

Phys.Rev. D49 (1994) 4265-4276

10.1103/PhysRevD.49.4265

null

hep-th

null

We introduce selfdual Maxwell-Higgs systems with uniform background electric charge density and show that the selfdual equations satisfied by topological vortices can be reduced to the original Bogomol'nyi equations without any background. These vortices are shown to carry no spin but to feel the Magnus force due to the shielding charge carried by the Higgs field. We also study the dynamics of slowly moving vortices and show that the spin-statistics theorem holds to our vortices.

[ { "created": "Wed, 17 Nov 1993 19:34:41 GMT", "version": "v1" } ]

2009-10-22

[ [ "Lee", "Ki-Myeong", "" ] ]

We introduce selfdual Maxwell-Higgs systems with uniform background electric charge density and show that the selfdual equations satisfied by topological vortices can be reduced to the original Bogomol'nyi equations without any background. These vortices are shown to carry no spin but to feel the Magnus force due to the shielding charge carried by the Higgs field. We also study the dynamics of slowly moving vortices and show that the spin-statistics theorem holds to our vortices.

12.604033

12.145353

13.902678

11.295277

14.480603

12.150006

12.651937

12.211813

11.577524

13.000276

12.131308

10.642275

11.670721

11.430353

11.503695

11.09294

11.303329

10.841738

11.038934

11.8248

11.785283

0806.4734

Hans Jockers

Ilka Brunner, Hans Jockers, Daniel Roggenkamp

Defects and D-Brane Monodromies

49 pages, 5 figures

Adv.Theor.Math.Phys.13:1077-1135,2009

null

hep-th

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

In this paper D-brane monodromies are studied from a world-sheet point of view. More precisely, defect lines are used to describe the parallel transport of D-branes along deformations of the underlying bulk conformal field theories. This method is used to derive B-brane monodromies in Kahler moduli spaces of non-linear sigma models on projective hypersurfaces. The corresponding defects are constructed at Landau-Ginzburg points in these moduli spaces where matrix factorisation techniques can be used. Transporting them to the large volume phase by means of the gauged linear sigma model we find that their action on B-branes at large volume can be described by certain Fourier-Mukai transformations which are known from target space geometric considerations to represent the corresponding monodromies.

[ { "created": "Mon, 30 Jun 2008 14:24:36 GMT", "version": "v1" } ]

2010-07-07

[ [ "Brunner", "Ilka", "" ], [ "Jockers", "Hans", "" ], [ "Roggenkamp", "Daniel", "" ] ]

In this paper D-brane monodromies are studied from a world-sheet point of view. More precisely, defect lines are used to describe the parallel transport of D-branes along deformations of the underlying bulk conformal field theories. This method is used to derive B-brane monodromies in Kahler moduli spaces of non-linear sigma models on projective hypersurfaces. The corresponding defects are constructed at Landau-Ginzburg points in these moduli spaces where matrix factorisation techniques can be used. Transporting them to the large volume phase by means of the gauged linear sigma model we find that their action on B-branes at large volume can be described by certain Fourier-Mukai transformations which are known from target space geometric considerations to represent the corresponding monodromies.

8.514249

9.178774

10.929538

7.849799

8.519088

8.693858

8.068597

8.507199

8.706743

12.105905

8.526309

8.357684

9.067142

8.24648

8.174335

8.067612

7.961995

8.438682

8.335448

9.011754

8.146646

hep-th/0102198

Paul S. Aspinwall

Some Navigation Rules for D-Brane Monodromy

LaTeX2e, 28 pages, 4 figures, some typos corrected and refs added

J.Math.Phys.42:5534-5552,2001

10.1063/1.1409963

DUKE-CGTP-01-01

hep-th math.AG

null

We explore some aspects of monodromies of D-branes in the Kahler moduli space of Calabi-Yau compactifications. Here a D-brane is viewed as an object of the derived category of coherent sheaves. We compute all the interesting monodromies in some nontrivial examples and link our work to recent results and conjectures concerning helices and mutations. We note some particular properties of the 0-brane.

[ { "created": "Tue, 27 Feb 2001 18:38:26 GMT", "version": "v1" }, { "created": "Thu, 8 Mar 2001 14:57:52 GMT", "version": "v2" } ]

2010-11-19

[ [ "Aspinwall", "Paul S.", "" ] ]

We explore some aspects of monodromies of D-branes in the Kahler moduli space of Calabi-Yau compactifications. Here a D-brane is viewed as an object of the derived category of coherent sheaves. We compute all the interesting monodromies in some nontrivial examples and link our work to recent results and conjectures concerning helices and mutations. We note some particular properties of the 0-brane.

9.793664

8.196175

11.36678

9.121902

8.387362

8.769814

8.841708

8.618587

8.332694

12.313991

8.691537

8.949278

10.413517

8.719626

8.664976

9.099279

8.549412

8.697825

8.821906

9.784667

8.64027

2211.01123

Alessio Miscioscia

M\'at\'e Lencs\'es, Alessio Miscioscia, Giuseppe Mussardo, G\'abor Tak\'acs

Multicriticality in Yang-Lee edge singularity

34 pages

null

10.1007/JHEP02(2023)046

DESY-22-162

hep-th cond-mat.stat-mech

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

In this paper we study the non-unitary deformations of the two-dimensional Tricritical Ising Model obtained by coupling its two spin Z2 odd operators to imaginary magnetic fields. Varying the strengths of these imaginary magnetic fields and adjusting correspondingly the coupling constants of the two spin Z2 even fields, we establish the presence of two universality classes of infrared fixed points on the critical surface. The first class corresponds to the familiar Yang-Lee edge singularity, while the second class to its tricritical version. We argue that these two universality classes are controlled by the conformal non-unitary minimal models M(2,5) and M(2,7) respectively, which is supported by considerations based on PT symmetry and the corresponding extension of Zamolodchikov's c-theorem, and also verified numerically using the truncated conformal space approach. Our results are in agreement with a previous numerical study of the lattice version of the Tricritical Ising Model [1]. We also conjecture the classes of universality corresponding to higher non-unitary multicritical points obtained by perturbing the conformal unitary models with imaginary coupling magnetic fields.

[ { "created": "Wed, 2 Nov 2022 13:57:08 GMT", "version": "v1" }, { "created": "Thu, 2 Feb 2023 14:17:47 GMT", "version": "v2" } ]

2023-02-22

[ [ "Lencsés", "Máté", "" ], [ "Miscioscia", "Alessio", "" ], [ "Mussardo", "Giuseppe", "" ], [ "Takács", "Gábor", "" ] ]

In this paper we study the non-unitary deformations of the two-dimensional Tricritical Ising Model obtained by coupling its two spin Z2 odd operators to imaginary magnetic fields. Varying the strengths of these imaginary magnetic fields and adjusting correspondingly the coupling constants of the two spin Z2 even fields, we establish the presence of two universality classes of infrared fixed points on the critical surface. The first class corresponds to the familiar Yang-Lee edge singularity, while the second class to its tricritical version. We argue that these two universality classes are controlled by the conformal non-unitary minimal models M(2,5) and M(2,7) respectively, which is supported by considerations based on PT symmetry and the corresponding extension of Zamolodchikov's c-theorem, and also verified numerically using the truncated conformal space approach. Our results are in agreement with a previous numerical study of the lattice version of the Tricritical Ising Model [1]. We also conjecture the classes of universality corresponding to higher non-unitary multicritical points obtained by perturbing the conformal unitary models with imaginary coupling magnetic fields.

7.282266

7.649796

8.805606

7.361907

7.57217

7.179391

7.400259

7.245511

7.124779

8.493466

7.068925

7.195543

7.534113

6.97755

7.107609

7.12631

6.982377

6.918232

7.009392

7.645141

7.072342

hep-th/0010155

Friedemann Brandt

An overview of new supersymmetric gauge theories with 2-form gauge potentials

11 pages; to appear in the proceedings of NATO ARW "Noncommutative structures in mathematics and physics" (Kiev 09/00); table in section 3 corrected

null

AEI-2000-068, MPI-MIS-65/2000

hep-th

null

An overview of new 4d supersymmetric gauge theories with 2-form gauge potentials constructed by various authors during the past five years is given. The key role of three particular types of interaction vertices is emphasized. These vertices are used to develop a connecting perspective on the new models and to distinguish between them. One example is presented in detail to illustrate characteristic features of the models. A new result on couplings of 2-form gauge potentials to Chern-Simons forms is presented.

[ { "created": "Wed, 18 Oct 2000 19:29:09 GMT", "version": "v1" }, { "created": "Mon, 13 Nov 2000 14:24:42 GMT", "version": "v2" } ]

2007-05-23

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

An overview of new 4d supersymmetric gauge theories with 2-form gauge potentials constructed by various authors during the past five years is given. The key role of three particular types of interaction vertices is emphasized. These vertices are used to develop a connecting perspective on the new models and to distinguish between them. One example is presented in detail to illustrate characteristic features of the models. A new result on couplings of 2-form gauge potentials to Chern-Simons forms is presented.

13.700768

14.255185

12.728964

12.881801

12.816152

13.476551

12.245589

11.945932

12.326462

14.065617

12.515862

11.972138

12.238273

11.583423

11.817513

11.49354

11.765841

11.710398

11.701109

12.438468

11.728302

2205.08337

Deyou Chen

Deyou Chen, Chuanhong Gao

Angular momentum and chaos bound of charged particles around Einstein-Euler-Heisenberg AdS black holes

22 pages

New J. Phys. 24 (2022) 123014

10.1088/1367-2630/aca820

null

hep-th

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

In this paper, we investigate influences of the charge and angular momentum of a particle around a charged Einstein-Euler-Heisenberg AdS black hole on a Lyapunov exponent, and find spatial regions where the chaos bound is violated. Positions of circular orbits are gotten by fixing the charge and angular momentum of the particle, respectively. The positions gradually move away from the event horizon with the increase of the angular momentum when the charge is fixed and with the decrease of the charge when the angular momentum is fixed. For certain values of the charge, angular momentum and Euler-Heisenberg parameter, the spatial regions where the bound is violated are found. When the charge is fixed and the Euler-Heisenberg parameter is large, a small angular momentum causes the violation. Although the angular momentum is small, the corresponding spatial region is not small. An interesting discovery is that the bound is violated by the black hole when the particle's charge is less than 1 and $\Lambda =0$, but this requires the black hole's charge to be large enough. This violation may be related to the dynamical stability of the black hole. The backreaction of the particle on the background spacetime isn't considered in the investigation.

[ { "created": "Tue, 17 May 2022 13:30:22 GMT", "version": "v1" }, { "created": "Wed, 29 Jun 2022 03:25:15 GMT", "version": "v2" }, { "created": "Mon, 8 Aug 2022 13:00:34 GMT", "version": "v3" }, { "created": "Thu, 15 Dec 2022 15:07:54 GMT", "version": "v4" } ]

2022-12-16

[ [ "Chen", "Deyou", "" ], [ "Gao", "Chuanhong", "" ] ]

In this paper, we investigate influences of the charge and angular momentum of a particle around a charged Einstein-Euler-Heisenberg AdS black hole on a Lyapunov exponent, and find spatial regions where the chaos bound is violated. Positions of circular orbits are gotten by fixing the charge and angular momentum of the particle, respectively. The positions gradually move away from the event horizon with the increase of the angular momentum when the charge is fixed and with the decrease of the charge when the angular momentum is fixed. For certain values of the charge, angular momentum and Euler-Heisenberg parameter, the spatial regions where the bound is violated are found. When the charge is fixed and the Euler-Heisenberg parameter is large, a small angular momentum causes the violation. Although the angular momentum is small, the corresponding spatial region is not small. An interesting discovery is that the bound is violated by the black hole when the particle's charge is less than 1 and $\Lambda =0$, but this requires the black hole's charge to be large enough. This violation may be related to the dynamical stability of the black hole. The backreaction of the particle on the background spacetime isn't considered in the investigation.

7.17654

7.093689

6.293783

6.192673

6.612134

7.174538

7.256669

6.162069

7.138188

6.609925

6.595859

6.594467

6.530478

6.300115

6.564524

6.637508

6.853237

6.135941

6.580761

6.28198

6.518553

1802.09813

Marco Bill\'o

M. Billo, F. Galvagno, P. Gregori and A. Lerda

Correlators between Wilson loop and chiral operators in N=2 conformal gauge theories

37 pages, 10 figures. v2: typo corrected, 3 references added. Version to appear on JHEP

null

10.1007/JHEP03(2018)193

ARC-18-03

hep-th

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

We consider conformal N=2 super Yang-Mills theories with gauge group SU(N) and Nf=2N fundamental hypermultiplets in presence of a circular 1/2-BPS Wilson loop. It is natural to conjecture that the matrix model which describes the expectation value of this system also encodes the one-point functions of chiral scalar operators in presence of the Wilson loop. We obtain evidence of this conjecture by successfully comparing, at finite N and at the two-loop order, the one-point functions computed in field theory with the vacuum expectation values of the corresponding normal-ordered operators in the matrix model. For the part of these expressions with transcendentality zeta(3), we also obtain results in the large-N limit that are exact in the 't Hooft coupling lambda.

[ { "created": "Tue, 27 Feb 2018 10:41:13 GMT", "version": "v1" }, { "created": "Thu, 29 Mar 2018 16:31:27 GMT", "version": "v2" } ]

2020-05-20

[ [ "Billo", "M.", "" ], [ "Galvagno", "F.", "" ], [ "Gregori", "P.", "" ], [ "Lerda", "A.", "" ] ]

We consider conformal N=2 super Yang-Mills theories with gauge group SU(N) and Nf=2N fundamental hypermultiplets in presence of a circular 1/2-BPS Wilson loop. It is natural to conjecture that the matrix model which describes the expectation value of this system also encodes the one-point functions of chiral scalar operators in presence of the Wilson loop. We obtain evidence of this conjecture by successfully comparing, at finite N and at the two-loop order, the one-point functions computed in field theory with the vacuum expectation values of the corresponding normal-ordered operators in the matrix model. For the part of these expressions with transcendentality zeta(3), we also obtain results in the large-N limit that are exact in the 't Hooft coupling lambda.

6.403611

6.262569

8.323884

6.466431

6.577965

6.348004

6.392874

6.613605

6.276739

7.599774

6.120473

6.003337

6.483273

5.999002

6.512935

5.878217

6.013664

6.085606

6.081218

6.722325

5.736861

2002.04824

Meseret Asrat

KdV Charges and the Generalized Torus Partition Sum in $T{\bar T}$ deformation

16 pages, published version

Nucl. Phys. B 958, 115119 (2020)

10.1016/j.nuclphysb.2020.115119

null

hep-th

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

We consider KdV currents in a quantum field theory obtained by deforming a two dimensional conformal field theory on a cylinder via the irrelevant operator $T{\bar T}$. In this paper we determine their one-point functions modular properties. We find that the one-point functions factorize into two components each with a definite modular weight. We also obtain a general differential equation that the generalized torus partition sum satisfies.

[ { "created": "Wed, 12 Feb 2020 07:27:54 GMT", "version": "v1" }, { "created": "Sat, 15 Aug 2020 23:57:15 GMT", "version": "v2" } ]

2020-08-18

[ [ "Asrat", "Meseret", "" ] ]

We consider KdV currents in a quantum field theory obtained by deforming a two dimensional conformal field theory on a cylinder via the irrelevant operator $T{\bar T}$. In this paper we determine their one-point functions modular properties. We find that the one-point functions factorize into two components each with a definite modular weight. We also obtain a general differential equation that the generalized torus partition sum satisfies.

13.818691

13.271126

17.826698

12.180786

12.052635

11.624702

13.687101

12.671792

11.71681

16.887688

12.369641

12.279536

14.118214

12.822824

12.453694

12.041227

12.822597

12.551884

12.783266

14.094216

12.703809

0711.3970

Alok Kumar

Chiral Symmetry Breaking in Gribov's Approach to QCD at Low Momentum

8 pages, 1 figure

null

hep-th

null

We consider Gribov's equation for inverse quark Green function with and without pion correction. With polar parametrization of inverse quark Green function, we relate the dynamical mass function without pion correction, $M_{0}(q^2)$ and with pion correction, $M(q^2)$ at low momentum. A graph is plotted for $M(q^2)$ and $M_{0}(q^2)$ with q for low momentum. It is found that at low momenta pion corrections are small.

[ { "created": "Mon, 26 Nov 2007 09:26:38 GMT", "version": "v1" } ]

2007-11-27

[ [ "Kumar", "Alok", "" ] ]

We consider Gribov's equation for inverse quark Green function with and without pion correction. With polar parametrization of inverse quark Green function, we relate the dynamical mass function without pion correction, $M_{0}(q^2)$ and with pion correction, $M(q^2)$ at low momentum. A graph is plotted for $M(q^2)$ and $M_{0}(q^2)$ with q for low momentum. It is found that at low momenta pion corrections are small.

8.571744

8.132002

8.038804

7.772352

8.373401

9.189811

8.421599

8.839478

7.817731

8.43383

8.05826

8.472596

8.033981

7.542005

8.48657

8.588692

8.134274

8.562272

7.893876

8.181973

8.415082

hep-th/0312002

Christopher Pope

H. Lu, C.N. Pope, K.S. Stelle and P.K. Townsend

Supersymmetric Deformations of G_2 Manifolds from Higher-Order Corrections to String and M-Theory

Latex, 25 pages. Typos corrected, and discussion of M-theory corrections improved

JHEP 0410:019,2004

10.1088/1126-6708/2004/10/019

MIFP-03-22, Imperial/TP/03-04/5, UB-ECM-PF-03/32

hep-th

null

The equations of 10 or 11 dimensional supergravity admit supersymmetric compactifications on 7-manifolds of $G_2$ holonomy, but these supergravity vacua are deformed away from special holonomy by the higher-order corrections of string or M-theory. We find simple expressions for the first-order corrections to the Einstein and Killing spinor equations in terms of the calibrating 3-form of the leading-order G_2-holonomy background. We thus obtain, and solve explicitly, systems of first-order equations describing the corrected metrics for most of the known classes of cohomogeneity-one 7-metrics with G_2 structures

[ { "created": "Fri, 28 Nov 2003 23:14:19 GMT", "version": "v1" }, { "created": "Mon, 1 Dec 2003 21:43:38 GMT", "version": "v2" }, { "created": "Thu, 8 Jan 2004 23:02:33 GMT", "version": "v3" }, { "created": "Wed, 13 Oct 2004 15:01:37 GMT", "version": "v4" } ]

2009-10-07

[ [ "Lu", "H.", "" ], [ "Pope", "C. N.", "" ], [ "Stelle", "K. S.", "" ], [ "Townsend", "P. K.", "" ] ]

The equations of 10 or 11 dimensional supergravity admit supersymmetric compactifications on 7-manifolds of $G_2$ holonomy, but these supergravity vacua are deformed away from special holonomy by the higher-order corrections of string or M-theory. We find simple expressions for the first-order corrections to the Einstein and Killing spinor equations in terms of the calibrating 3-form of the leading-order G_2-holonomy background. We thus obtain, and solve explicitly, systems of first-order equations describing the corrected metrics for most of the known classes of cohomogeneity-one 7-metrics with G_2 structures

7.798438

8.529108

10.172323

7.738559

8.027295

7.975532

8.3782

7.348956

7.557629

8.710839

7.770209

7.510058

8.226423

7.552726

7.526932

7.588607

7.592171

7.656001

7.615511

7.819058

7.304878

1510.00589

Alexander Prygarin

S. Bondarenko and A. Prygarin

Hermitian separability and transition from singlet to adjoint BFKL equations in $\mathcal{N}=4$ super Yang-Mills Theory

14 pages

null

hep-th

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

We revisit the next-to-leading order~(NLO) correction to the eigenvalue of the BFKL equation in the adjoint representation and investigate its properties in analogy with the singlet BFKL in planar $\mathcal{N}=4$ super Yang-Mills Theory~(SYM). We show that the adjoint NLO BFKL eigenvalue is needed to be slightly modified in order to have a property of hermitian separability present for the singlet BFKL. After this modification the adjoint NLO BFKL eigenvalue is expressed through holomorphic and antiholomophic parts of the leading order eigenvalue and their derivatives. The proposed choice of the modified NLO expression is supported by the fact that it is possible to obtain the same result in a relatively straightforward way directly from the singlet NLO BFKL eigenvalue replacing alternating sums by non-alternating ones. This transformation corresponds to changing cylindrical topology of the singlet BFKL to the planar topology of the adjoint BFKL. We believe that the original NLO calculation of Fadin and Lipatov is correct and valid for the computations of the remainder function of the BDS amplitude. However, the notion of the adjoint BFKL eigenvalue is vaguely defined due to removal of the infrared divergences as well as redistributing NLO corrections between the kernel and impact factors, and is to be modified to comply with properties of the singlet BFKL equation. This, at first sight, a purely semantic difference may become important in resolving the issue of the non-vanishing adjoint NNLO eigenvalue in the limit of zero anomalous dimension $\nu$ and conformal spin $n$, which contradicts the bootstrap condition of the BFKL equation.

[ { "created": "Fri, 2 Oct 2015 13:24:09 GMT", "version": "v1" }, { "created": "Sun, 25 Oct 2015 18:21:48 GMT", "version": "v2" } ]

2015-10-27

[ [ "Bondarenko", "S.", "" ], [ "Prygarin", "A.", "" ] ]

We revisit the next-to-leading order~(NLO) correction to the eigenvalue of the BFKL equation in the adjoint representation and investigate its properties in analogy with the singlet BFKL in planar $\mathcal{N}=4$ super Yang-Mills Theory~(SYM). We show that the adjoint NLO BFKL eigenvalue is needed to be slightly modified in order to have a property of hermitian separability present for the singlet BFKL. After this modification the adjoint NLO BFKL eigenvalue is expressed through holomorphic and antiholomophic parts of the leading order eigenvalue and their derivatives. The proposed choice of the modified NLO expression is supported by the fact that it is possible to obtain the same result in a relatively straightforward way directly from the singlet NLO BFKL eigenvalue replacing alternating sums by non-alternating ones. This transformation corresponds to changing cylindrical topology of the singlet BFKL to the planar topology of the adjoint BFKL. We believe that the original NLO calculation of Fadin and Lipatov is correct and valid for the computations of the remainder function of the BDS amplitude. However, the notion of the adjoint BFKL eigenvalue is vaguely defined due to removal of the infrared divergences as well as redistributing NLO corrections between the kernel and impact factors, and is to be modified to comply with properties of the singlet BFKL equation. This, at first sight, a purely semantic difference may become important in resolving the issue of the non-vanishing adjoint NNLO eigenvalue in the limit of zero anomalous dimension $\nu$ and conformal spin $n$, which contradicts the bootstrap condition of the BFKL equation.

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1808.00514

Matheus Araujo Marques

M.A. Marques

Novel lumplike structures

5 pages, 7 figures; motivation and references added, to appear in EPL

EPL 125 (2019) 11001

10.1209/0295-5075/125/11001

null

hep-th

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

We study the existence of new features in lumplike solutions in models of a real scalar field in two dimensional flat spacetime. We present new models and field configurations that exhibit a non standard decay, shrinking or stretching the tail of the solutions.

[ { "created": "Wed, 1 Aug 2018 19:09:40 GMT", "version": "v1" }, { "created": "Mon, 5 Nov 2018 19:39:46 GMT", "version": "v2" }, { "created": "Thu, 3 Jan 2019 01:22:08 GMT", "version": "v3" } ]

2019-01-29

[ [ "Marques", "M. A.", "" ] ]

We study the existence of new features in lumplike solutions in models of a real scalar field in two dimensional flat spacetime. We present new models and field configurations that exhibit a non standard decay, shrinking or stretching the tail of the solutions.

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31.472971

27.339075

26.595131

26.587067

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32.766827

23.555544

hep-th/0612033

Bernd Kniehl

Bernd A. Kniehl, Alberto Sirlin

Simple On-Shell Renormalization Framework for the Cabibbo-Kobayashi-Maskawa Matrix

26 pages, 2 figures, published version

Phys.Rev.D74:116003,2006

10.1103/PhysRevD.74.116003

DESY 06-207, MPP-2006-219, NYU-TH/06/10/20

hep-th hep-ph

null

We present an explicit on-shell framework to renormalize the Cabibbo-Kobayashi-Maskawa (CKM) quark mixing matrix at the one-loop level. It is based on a novel procedure to separate the external-leg mixing corrections into gauge-independent self-mass (sm) and gauge-dependent wave-function renormalization contributions, and to adjust non-diagonal mass counterterm matrices to cancel all the divergent sm contributions, and also their finite parts subject to constraints imposed by the hermiticity of the mass matrices. It is also shown that the proof of gauge independence and finiteness of the remaining one-loop corrections to W -> q_i + anti-q_j reduces to that in the unmixed, single-generation case. Diagonalization of the complete mass matrices leads then to an explicit expression for the CKM counterterm matrix, which is gauge independent, preserves unitarity, and leads to renormalized amplitudes that are non-singular in the limit in which any two fermions become mass degenerate.

[ { "created": "Tue, 5 Dec 2006 00:04:11 GMT", "version": "v1" }, { "created": "Mon, 22 Jan 2007 18:37:57 GMT", "version": "v2" } ]

2008-11-26

[ [ "Kniehl", "Bernd A.", "" ], [ "Sirlin", "Alberto", "" ] ]

We present an explicit on-shell framework to renormalize the Cabibbo-Kobayashi-Maskawa (CKM) quark mixing matrix at the one-loop level. It is based on a novel procedure to separate the external-leg mixing corrections into gauge-independent self-mass (sm) and gauge-dependent wave-function renormalization contributions, and to adjust non-diagonal mass counterterm matrices to cancel all the divergent sm contributions, and also their finite parts subject to constraints imposed by the hermiticity of the mass matrices. It is also shown that the proof of gauge independence and finiteness of the remaining one-loop corrections to W -> q_i + anti-q_j reduces to that in the unmixed, single-generation case. Diagonalization of the complete mass matrices leads then to an explicit expression for the CKM counterterm matrix, which is gauge independent, preserves unitarity, and leads to renormalized amplitudes that are non-singular in the limit in which any two fermions become mass degenerate.

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