LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

2407.11114

Rathindra Nath Das Mr.

Vijay Balasubramanian, Rathindra Nath Das, Johanna Erdmenger, and Zhuo-Yu Xian

Chaos and integrability in triangular billiards

25 pages, 12 figures

null

hep-th cond-mat.stat-mech math-ph math.MP nlin.CD quant-ph

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

We characterize quantum dynamics in triangular billiards in terms of five properties: (1) the level spacing ratio (LSR), (2) spectral complexity (SC), (3) Lanczos coefficient variance, (4) energy eigenstate localisation in the Krylov basis, and (5) dynamical growth of spread complexity. The billiards we study are classified as integrable, pseudointegrable or non-integrable, depending on their internal angles which determine properties of classical trajectories and associated quantum spectral statistics. A consistent picture emerges when transitioning from integrable to non-integrable triangles: (1) LSRs increase; (2) spectral complexity growth slows down; (3) Lanczos coefficient variances decrease; (4) energy eigenstates delocalize in the Krylov basis; and (5) spread complexity increases, displaying a peak prior to a plateau instead of recurrences. Pseudo-integrable triangles deviate by a small amount in these charactertistics from non-integrable ones, which in turn approximate models from the Gaussian Orthogonal Ensemble (GOE). Isosceles pseudointegrable and non-integrable triangles have independent sectors that are symmetric and antisymmetric under a reflection symmetry. These sectors separately reproduce characteristics of the GOE, even though the combined system approximates characteristics expected from integrable theories with Poisson distributed spectra.

[ { "created": "Mon, 15 Jul 2024 18:00:00 GMT", "version": "v1" } ]

2024-07-17

[ [ "Balasubramanian", "Vijay", "" ], [ "Das", "Rathindra Nath", "" ], [ "Erdmenger", "Johanna", "" ], [ "Xian", "Zhuo-Yu", "" ] ]

We characterize quantum dynamics in triangular billiards in terms of five properties: (1) the level spacing ratio (LSR), (2) spectral complexity (SC), (3) Lanczos coefficient variance, (4) energy eigenstate localisation in the Krylov basis, and (5) dynamical growth of spread complexity. The billiards we study are classified as integrable, pseudointegrable or non-integrable, depending on their internal angles which determine properties of classical trajectories and associated quantum spectral statistics. A consistent picture emerges when transitioning from integrable to non-integrable triangles: (1) LSRs increase; (2) spectral complexity growth slows down; (3) Lanczos coefficient variances decrease; (4) energy eigenstates delocalize in the Krylov basis; and (5) spread complexity increases, displaying a peak prior to a plateau instead of recurrences. Pseudo-integrable triangles deviate by a small amount in these charactertistics from non-integrable ones, which in turn approximate models from the Gaussian Orthogonal Ensemble (GOE). Isosceles pseudointegrable and non-integrable triangles have independent sectors that are symmetric and antisymmetric under a reflection symmetry. These sectors separately reproduce characteristics of the GOE, even though the combined system approximates characteristics expected from integrable theories with Poisson distributed spectra.

9.938288

9.929642

10.23936

9.356996

10.197604

9.83285

9.803625

9.966146

9.4478

11.581194

9.011991

9.58649

9.709318

9.645094

9.51872

9.625611

9.563736

9.859579

9.149384

10.242156

9.545539

hep-th/0606118

Vijay Balasubramanian

Vijay Balasubramanian, Eric G. Gimon, Thomas S. Levi

Four Dimensional Black Hole Microstates: From D-branes to Spacetime Foam

32 pages, LaTeX, 3 eps figures. References added, example fixed, extra appendix

JHEP 0801:056,2008

10.1088/1126-6708/2008/01/056

UPR-1154-T, LBNL-60486

hep-th

null

We propose that every supersymmetric four dimensional black hole of finite area can be split up into microstates made up of primitive half-BPS "atoms''. The mutual non-locality of the charges of these "atoms'' binds the state together. In support of this proposal, we display a class of smooth, horizon-free, four dimensional supergravity solutions carrying the charges of black holes, with multiple centers each carrying the charge of a half-BPS state. At vanishing string coupling the solutions collapse to a bound system of intersecting D-branes. At weak coupling the system expands into the non-compact directions forming a topologically complex geometry. At strong coupling, a new dimension opens up, and the solutions form a "foam'' of spheres threaded by flux in M-theory. We propose that this transverse growth of the underlying bound state of constitutent branes is responsible for the emergence of black hole horizons for coarse-grained observables. As such, it suggests the link between the D-brane and "spacetime foam'' approaches to black hole entropy.

[ { "created": "Wed, 14 Jun 2006 17:48:44 GMT", "version": "v1" }, { "created": "Thu, 5 Apr 2007 22:04:50 GMT", "version": "v2" } ]

2014-11-18

[ [ "Balasubramanian", "Vijay", "" ], [ "Gimon", "Eric G.", "" ], [ "Levi", "Thomas S.", "" ] ]

We propose that every supersymmetric four dimensional black hole of finite area can be split up into microstates made up of primitive half-BPS "atoms''. The mutual non-locality of the charges of these "atoms'' binds the state together. In support of this proposal, we display a class of smooth, horizon-free, four dimensional supergravity solutions carrying the charges of black holes, with multiple centers each carrying the charge of a half-BPS state. At vanishing string coupling the solutions collapse to a bound system of intersecting D-branes. At weak coupling the system expands into the non-compact directions forming a topologically complex geometry. At strong coupling, a new dimension opens up, and the solutions form a "foam'' of spheres threaded by flux in M-theory. We propose that this transverse growth of the underlying bound state of constitutent branes is responsible for the emergence of black hole horizons for coarse-grained observables. As such, it suggests the link between the D-brane and "spacetime foam'' approaches to black hole entropy.

13.680303

15.350694

14.843057

12.514325

14.293598

13.446737

12.751791

13.484294

12.518164

15.65035

12.593731

13.459702

13.826498

13.148689

12.999671

12.805464

13.374143

13.453529

13.067245

13.705103

12.994555

0908.1972

Steven Gubser

Steven S. Gubser and Abhinav Nellore

Ground states of holographic superconductors

36 pages, 7 figures

null

10.1103/PhysRevD.80.105007

PUPT-2309

hep-th

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

We investigate the ground states of the Abelian Higgs model in AdS_4 with various choices of parameters, and with no deformations in the ultraviolet other than a chemical potential for the electric charge under the Abelian gauge field. For W-shaped potentials with symmetry-breaking minima, an analysis of infrared asymptotics suggests that the ground state has emergent conformal symmetry in the infrared when the charge of the complex scalar is large enough. But when this charge is too small, the likeliest ground state has Lifshitz-like scaling in the infrared. For positive mass quadratic potentials, Lifshitz-like scaling is the only possible infrared behavior for constant nonzero values of the scalar. The approach to Lifshitz-like scaling is shown in many cases to be oscillatory.

[ { "created": "Fri, 14 Aug 2009 19:48:41 GMT", "version": "v1" } ]

2013-05-29

[ [ "Gubser", "Steven S.", "" ], [ "Nellore", "Abhinav", "" ] ]

We investigate the ground states of the Abelian Higgs model in AdS_4 with various choices of parameters, and with no deformations in the ultraviolet other than a chemical potential for the electric charge under the Abelian gauge field. For W-shaped potentials with symmetry-breaking minima, an analysis of infrared asymptotics suggests that the ground state has emergent conformal symmetry in the infrared when the charge of the complex scalar is large enough. But when this charge is too small, the likeliest ground state has Lifshitz-like scaling in the infrared. For positive mass quadratic potentials, Lifshitz-like scaling is the only possible infrared behavior for constant nonzero values of the scalar. The approach to Lifshitz-like scaling is shown in many cases to be oscillatory.

10.199954

11.539248

10.662367

10.220383

10.823653

11.920352

11.638597

10.508338

10.350751

11.114116

10.129248

9.59735

9.640749

9.421164

9.438177

10.082911

10.064653

9.403724

9.635852

10.151836

9.83344

2408.08287

Maxim Grigoriev

Maxim Grigoriev and Dmitry Rudinsky

Weak gauge PDEs

null

hep-th math-ph math.MP

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

Gauge PDEs generalise AKSZ sigma models to the case of general local gauge theories. Despite being very flexible and invariant these geometrical objects are usually infinite-dimensional and are difficult to define explicitly, just like standard infinitely-prolonged PDEs. We propose a notion of a weak gauge PDE where the nilpotency of the BRST differential is relaxed in a controllable way. In this approach a nontopological local gauge theory can be described in terms of a finite-dimensional geometrical object. Moreover, among such objects one can find a minimal one which is unique in a certain sense. In the case of a Lagrangian system, the respective weak gauge PDE naturally arise from its weak presymplectic formulation. We prove that any weak gauge PDE determines the standard jet-bundle BV formulation of the underlying gauge theory, giving an unambiguous physical interpretation of these objects. The formalism is illustrated by a few examples including the non-Lagrangian self-dual Yang-Mills theory. We also discuss possible applications of the approach to characterisation of those infinite-dimensional gauge PDEs which correspond to local theories.

[ { "created": "Thu, 15 Aug 2024 17:41:40 GMT", "version": "v1" } ]

2024-08-16

[ [ "Grigoriev", "Maxim", "" ], [ "Rudinsky", "Dmitry", "" ] ]

Gauge PDEs generalise AKSZ sigma models to the case of general local gauge theories. Despite being very flexible and invariant these geometrical objects are usually infinite-dimensional and are difficult to define explicitly, just like standard infinitely-prolonged PDEs. We propose a notion of a weak gauge PDE where the nilpotency of the BRST differential is relaxed in a controllable way. In this approach a nontopological local gauge theory can be described in terms of a finite-dimensional geometrical object. Moreover, among such objects one can find a minimal one which is unique in a certain sense. In the case of a Lagrangian system, the respective weak gauge PDE naturally arise from its weak presymplectic formulation. We prove that any weak gauge PDE determines the standard jet-bundle BV formulation of the underlying gauge theory, giving an unambiguous physical interpretation of these objects. The formalism is illustrated by a few examples including the non-Lagrangian self-dual Yang-Mills theory. We also discuss possible applications of the approach to characterisation of those infinite-dimensional gauge PDEs which correspond to local theories.

10.508787

9.52672

11.981401

10.274763

10.299602

10.590736

11.012505

10.367031

9.716744

12.671538

10.118266

10.128632

10.220281

9.837234

10.141567

10.008339

10.253634

10.041296

10.095605

10.384706

9.921303

1202.4182

Osvaldo Pablo Santillan

O. P. Santillan

A common scenario for an small vacuum energy and long lived super heavy dark matter

figures in the text

null

hep-th astro-ph.HE hep-ph

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

A toy model giving rise to long lived super heavy particles and an small vacuum density energy, of the order of the one measured in the present universe, is constructed. This model consists in hidden sector invariant under an $SU(2)_L$ gauge symmetry, whose masses are provided by the standard Higgs mechanism. It is assumed that the standard model particles are also charged under this interaction. The hidden fermions and the hidden Higgs are super-heavy, which mass values close to the GUT scale. In addition, there is an spontaneously broken U(1) chiral symmetry, giving rise to a pseudoscalar Goldstone boson which we refer as a "hidden axion". We model the vacuum energy of the universe as the potential energy of this pseudoscalar, and this fixes several scales of the model. In particular, it is shown that the interaction between the hidden and the ordinary sector is very weak, of the order of the gravitational one. The approach to the vacuum energy problem presented here is a quintessence like mechanism, in which it is assumed that the true vacuum density energy is zero for some unknown reason, except for the contribution of the light axion. As consequence of the weakness of this interaction, the hidden Higgs is long lived and may act as a super heavy component of the dark matter at present times.

[ { "created": "Sun, 19 Feb 2012 19:55:18 GMT", "version": "v1" }, { "created": "Mon, 27 Aug 2012 21:18:04 GMT", "version": "v2" } ]

2012-08-29

[ [ "Santillan", "O. P.", "" ] ]

A toy model giving rise to long lived super heavy particles and an small vacuum density energy, of the order of the one measured in the present universe, is constructed. This model consists in hidden sector invariant under an $SU(2)_L$ gauge symmetry, whose masses are provided by the standard Higgs mechanism. It is assumed that the standard model particles are also charged under this interaction. The hidden fermions and the hidden Higgs are super-heavy, which mass values close to the GUT scale. In addition, there is an spontaneously broken U(1) chiral symmetry, giving rise to a pseudoscalar Goldstone boson which we refer as a "hidden axion". We model the vacuum energy of the universe as the potential energy of this pseudoscalar, and this fixes several scales of the model. In particular, it is shown that the interaction between the hidden and the ordinary sector is very weak, of the order of the gravitational one. The approach to the vacuum energy problem presented here is a quintessence like mechanism, in which it is assumed that the true vacuum density energy is zero for some unknown reason, except for the contribution of the light axion. As consequence of the weakness of this interaction, the hidden Higgs is long lived and may act as a super heavy component of the dark matter at present times.

9.674758

10.523073

9.234345

9.158888

10.063316

9.976448

9.556474

9.442661

9.055326

9.592754

9.487351

9.528559

9.229796

8.94642

9.205404

9.392154

9.132615

9.400601

9.199647

9.13569

9.156897

1811.03660

Jorge Russo

J.G. Russo and P.K. Townsend

Late-time Cosmic Acceleration from Compactification

23 pages. New subsections and references added

null

10.1088/1361-6382/ab0804

ICCUB-18-020

hep-th astro-ph.CO gr-qc

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

We investigate the implications of energy conditions on cosmological compactification solutions of the higher-dimensional Einstein field equations. It is known that the Strong Energy Condition forbids time-independent compactifications to de Sitter space but allows time-dependent compactifications to other (homogeneous and isotropic) expanding universes that undergo a {\it transient} period of acceleration. Here we show that the same assumptions allow compactification to FLRW universes undergoing {late-time} accelerated expansion; the late-time stress tensor is a perfect fluid but with a lower bound on the pressure/energy-density ratio that excludes de Sitter but allows accelerated power-law expansion. The compact space undergoes a decelerating expansion that leads to decompactification, but on an arbitrarily long timescale.

[ { "created": "Thu, 8 Nov 2018 19:49:06 GMT", "version": "v1" }, { "created": "Wed, 14 Nov 2018 18:31:36 GMT", "version": "v2" }, { "created": "Fri, 8 Mar 2019 12:34:19 GMT", "version": "v3" } ]

2019-05-22

[ [ "Russo", "J. G.", "" ], [ "Townsend", "P. K.", "" ] ]

We investigate the implications of energy conditions on cosmological compactification solutions of the higher-dimensional Einstein field equations. It is known that the Strong Energy Condition forbids time-independent compactifications to de Sitter space but allows time-dependent compactifications to other (homogeneous and isotropic) expanding universes that undergo a {\it transient} period of acceleration. Here we show that the same assumptions allow compactification to FLRW universes undergoing {late-time} accelerated expansion; the late-time stress tensor is a perfect fluid but with a lower bound on the pressure/energy-density ratio that excludes de Sitter but allows accelerated power-law expansion. The compact space undergoes a decelerating expansion that leads to decompactification, but on an arbitrarily long timescale.

12.077051

11.324115

12.69814

11.592802

12.200463

12.873446

12.162078

11.780052

11.367603

12.704121

10.917042

11.272713

11.889842

11.756074

10.929061

11.351295

10.915709

11.411412

11.342002

11.765058

10.769633

hep-th/9305060

null

Huazhong Zhang

Global Quantization of Vacuum Angle and Magnetic Monopoles as a New Solution to the Strong CP Problem

JSUHEP921201, LaTeX 10 pages. To be published in "Fundamental Aspects of Quantum Theory", (World Scientific, Singapore), Proceedings of the International Symposium, Columbia, SC, USA., Dec. 1992)

null

hep-th

null

The non-perturbative solution to the strong CP problem with magnetic monopoles as originally proposed by the author is described. It is shown that the gauge orbit space with gauge potentials and gauge tranformations restricted on the space boundary and the globally well-defined gauge subgroup in gauge theories with a $\theta$ term has a monopole structure if there is a magnetic monopole in the ordinary space. The Dirac's quantization condition then ensures that the vacuum angle $\theta$ in the gauge theories must be quantized to have a well-defined physical wave functional. The quantization rule for $\theta$ is derived as $\theta=0, 2\pi/n~(n\neq 0)$ with n being the topological charge of the magnetic monopole. Therefore, the strong CP problem is automatically solved with the existence of a magnetic monopole of charge $\pm 1$ with $\theta=\pm 2\pi$. This is also true when the total magnetic charge of monopoles are very large ($|n|\geq 10^92\pi$). The fact that the strong CP violation can be only so small or vanishing may be a signal for the existence of magnetic monopoles and the universe is open.

[ { "created": "Thu, 13 May 1993 16:03:08 GMT", "version": "v1" } ]

2007-05-23

[ [ "Zhang", "Huazhong", "" ] ]

The non-perturbative solution to the strong CP problem with magnetic monopoles as originally proposed by the author is described. It is shown that the gauge orbit space with gauge potentials and gauge tranformations restricted on the space boundary and the globally well-defined gauge subgroup in gauge theories with a $\theta$ term has a monopole structure if there is a magnetic monopole in the ordinary space. The Dirac's quantization condition then ensures that the vacuum angle $\theta$ in the gauge theories must be quantized to have a well-defined physical wave functional. The quantization rule for $\theta$ is derived as $\theta=0, 2\pi/n~(n\neq 0)$ with n being the topological charge of the magnetic monopole. Therefore, the strong CP problem is automatically solved with the existence of a magnetic monopole of charge $\pm 1$ with $\theta=\pm 2\pi$. This is also true when the total magnetic charge of monopoles are very large ($|n|\geq 10^92\pi$). The fact that the strong CP violation can be only so small or vanishing may be a signal for the existence of magnetic monopoles and the universe is open.

8.39283

9.029889

6.691507

6.972053

7.563325

9.230142

6.99618

9.318848

7.797381

9.821431

8.369473

8.261529

8.062474

7.534883

7.803782

8.116775

8.066236

8.229923

7.826101

8.43635

8.114608

hep-th/0108183

D. M. Ghilencea

D.M. Ghilencea, H.P. Nilles, S. Stieberger

Divergences in Kaluza-Klein Models and their String Regularization

50 pages, LaTeX

NewJ.Phys.4:15,2002

10.1088/1367-2630/4/1/315

null

hep-th hep-ph

null

Effective field theories with (large) extra dimensions are studied within a physical regularization scheme provided by string theory. Explicit string calculations then allow us to consistently analyze the ultraviolet sensitivity of Kaluza--Klein theories in the presence or absence of low energy supersymmetry.

[ { "created": "Fri, 24 Aug 2001 12:54:49 GMT", "version": "v1" } ]

2008-11-26

[ [ "Ghilencea", "D. M.", "" ], [ "Nilles", "H. P.", "" ], [ "Stieberger", "S.", "" ] ]

Effective field theories with (large) extra dimensions are studied within a physical regularization scheme provided by string theory. Explicit string calculations then allow us to consistently analyze the ultraviolet sensitivity of Kaluza--Klein theories in the presence or absence of low energy supersymmetry.

14.110111

12.51996

12.339173

10.767387

11.363485

12.444131

11.811736

11.560586

11.16713

13.116921

12.442783

12.613915

12.384579

13.027638

12.572354

12.865821

12.78986

12.978198

11.952521

12.947462

13.506736

1305.0271

Lasha Berezhiani Ph.D.

L. Berezhiani, G. Chkareuli, C. de Rham, G. Gabadadze and A.J. Tolley

Mixed Galileons and Spherically Symmetric Solutions

19 pages

null

10.1088/0264-9381/30/18/184003

null

hep-th gr-qc

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

It was previously found that in a certain parameter subspace of scalar-tensor theories emerging from massive gravity, the only stable field configuration created by static spherically symmetric sources was one with cosmological asymptotics. Moreover, these backgrounds were shown to be sub-luminal everywhere in the space; in contrast to the common believe that these theories are necessarily superluminal in the vicinity of a static source. In this work we complete that analysis by extending it to cover the whole parameter space of these scalar-tensor theories. We find that the stability argument renders the asymptotically flat backgrounds unrealizable, forcing once again for cosmological asymptotics. In the case of pressureless sources these backgrounds are stable. However, they get destabilized in the presence of positive pressure, larger than a critical density. Even on the self-accelerated background, on which the scalar mode decouples from sources, in the region occupied by the source it acquires an elliptic equation of motion. Therefore, we conclude that the only parameter space which is not ruled out, by solar system measurements, is the one considered in Berezhiani {\it et al.} (arXiv:1302.0549), namely the one for which the scalar and tensor modes can be diagonalized via local transformations. We also reinvestigate the scale at which perturbation theory breaks down in a general Galileon theory. We show that the Vainshtein mechanism successfully redresses the strong coupling scale to a small one, just like in the cubic Galileon, despite the cancellations occurring in the special spherically symmetric case. We emphasize that even if these tests were performed at scales at which perturbation theory broke down, these could not be interpreted as a lower bound for the graviton mass.

[ { "created": "Wed, 1 May 2013 20:00:15 GMT", "version": "v1" } ]

2015-06-15

[ [ "Berezhiani", "L.", "" ], [ "Chkareuli", "G.", "" ], [ "de Rham", "C.", "" ], [ "Gabadadze", "G.", "" ], [ "Tolley", "A. J.", "" ] ]

It was previously found that in a certain parameter subspace of scalar-tensor theories emerging from massive gravity, the only stable field configuration created by static spherically symmetric sources was one with cosmological asymptotics. Moreover, these backgrounds were shown to be sub-luminal everywhere in the space; in contrast to the common believe that these theories are necessarily superluminal in the vicinity of a static source. In this work we complete that analysis by extending it to cover the whole parameter space of these scalar-tensor theories. We find that the stability argument renders the asymptotically flat backgrounds unrealizable, forcing once again for cosmological asymptotics. In the case of pressureless sources these backgrounds are stable. However, they get destabilized in the presence of positive pressure, larger than a critical density. Even on the self-accelerated background, on which the scalar mode decouples from sources, in the region occupied by the source it acquires an elliptic equation of motion. Therefore, we conclude that the only parameter space which is not ruled out, by solar system measurements, is the one considered in Berezhiani {\it et al.} (arXiv:1302.0549), namely the one for which the scalar and tensor modes can be diagonalized via local transformations. We also reinvestigate the scale at which perturbation theory breaks down in a general Galileon theory. We show that the Vainshtein mechanism successfully redresses the strong coupling scale to a small one, just like in the cubic Galileon, despite the cancellations occurring in the special spherically symmetric case. We emphasize that even if these tests were performed at scales at which perturbation theory broke down, these could not be interpreted as a lower bound for the graviton mass.

11.849809

13.188019

12.362947

11.748686

13.029154

12.200736

13.516919

11.842553

11.306379

13.033392

11.629773

11.691581

11.679183

11.471497

11.659771

11.545461

11.818434

11.251876

11.29474

11.577745

11.308504

0708.1399

Anastasios Petkou

A. Fotopoulos, N. Irges, A. C. Petkou and M. Tsulaia

Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic Vertex

26 pages, v2: references added

JHEP 0710:021,2007

10.1088/1126-6708/2007/10/021

null

hep-th

null

We apply a recently presented BRST procedure to construct the Largangian cubic vertex of higher-spin gauge field triplets interacting with massive free scalars. In flat space, the spin-s triplet propagates the series of irreducible spin-s, s-2,..,0/1 modes which couple independently to corresponding conserved currents constructed from the scalars. The simple covariantization of the flat space result is not enough in AdS, as new interaction vertices appear. We present in detail the cases of spin-2 and spin-3 triplets coupled to scalars. Restricting to a single irreducible spin-s mode we uncover previously obtained results. We also present an alternative derivation of the lower spin results based on the idea that higher-spin gauge fields arise from the gauging of higher derivative symmetries of free matter Lagrangians. Our results can be readily applied to holographic studies of higher-spin gauge theories.

[ { "created": "Fri, 10 Aug 2007 11:17:47 GMT", "version": "v1" }, { "created": "Mon, 8 Oct 2007 15:42:39 GMT", "version": "v2" } ]

2009-06-11

[ [ "Fotopoulos", "A.", "" ], [ "Irges", "N.", "" ], [ "Petkou", "A. C.", "" ], [ "Tsulaia", "M.", "" ] ]

We apply a recently presented BRST procedure to construct the Largangian cubic vertex of higher-spin gauge field triplets interacting with massive free scalars. In flat space, the spin-s triplet propagates the series of irreducible spin-s, s-2,..,0/1 modes which couple independently to corresponding conserved currents constructed from the scalars. The simple covariantization of the flat space result is not enough in AdS, as new interaction vertices appear. We present in detail the cases of spin-2 and spin-3 triplets coupled to scalars. Restricting to a single irreducible spin-s mode we uncover previously obtained results. We also present an alternative derivation of the lower spin results based on the idea that higher-spin gauge fields arise from the gauging of higher derivative symmetries of free matter Lagrangians. Our results can be readily applied to holographic studies of higher-spin gauge theories.

11.533596

11.216968

12.442051

10.981751

12.478662

10.969995

12.096257

11.21277

11.856024

12.90737

11.037847

11.318403

11.252778

10.851065

11.294045

11.06383

11.111673

11.029946

10.676749

11.678429

11.029816

2312.08923

Yann Proto

Dan Israel, Ilarion V. Melnikov, Ruben Minasian, Yann Proto

Topology change and heterotic flux vacua

69 pages; typos fixed, comments added

null

hep-th

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

We investigate the interrelation between topology and Narain T-duality of heterotic flux vacua. We present evidence that all 5 and 4-dimensional Minkowski space heterotic flux backgrounds with 8 supercharges have a locus in the moduli space with a T-dual description in terms of a compactification on the product of a K3 surface with a circle or a torus. A test of this equivalence is provided by calculating the new supersymmetric index on both sides of the duality. We examine the implications of these dualities for CHL-like orbifolds that reduce the rank of the gauge group, as well as those that lead to minimal supersymmetry in 4 dimensions. We also discuss properties of flux vacua that preserve minimal supersymmetry in 4 dimensions that cannot be related to conventional compactifications by Narain T-duality. Along the way we point out a number of properties of these vacua, including the role played by non-trivial flat gerbes, the appearance of rational worldsheet CFTs in decompactification limits, and the role of attractive K3 surfaces in backgrounds with minimal supersymmetry. Finally, we discuss the dual pairs from the perspective of M-theory/heterotic duality.

[ { "created": "Thu, 14 Dec 2023 13:30:28 GMT", "version": "v1" }, { "created": "Mon, 27 May 2024 14:18:23 GMT", "version": "v2" } ]

2024-05-28

[ [ "Israel", "Dan", "" ], [ "Melnikov", "Ilarion V.", "" ], [ "Minasian", "Ruben", "" ], [ "Proto", "Yann", "" ] ]

We investigate the interrelation between topology and Narain T-duality of heterotic flux vacua. We present evidence that all 5 and 4-dimensional Minkowski space heterotic flux backgrounds with 8 supercharges have a locus in the moduli space with a T-dual description in terms of a compactification on the product of a K3 surface with a circle or a torus. A test of this equivalence is provided by calculating the new supersymmetric index on both sides of the duality. We examine the implications of these dualities for CHL-like orbifolds that reduce the rank of the gauge group, as well as those that lead to minimal supersymmetry in 4 dimensions. We also discuss properties of flux vacua that preserve minimal supersymmetry in 4 dimensions that cannot be related to conventional compactifications by Narain T-duality. Along the way we point out a number of properties of these vacua, including the role played by non-trivial flat gerbes, the appearance of rational worldsheet CFTs in decompactification limits, and the role of attractive K3 surfaces in backgrounds with minimal supersymmetry. Finally, we discuss the dual pairs from the perspective of M-theory/heterotic duality.

7.540674

7.102018

8.86652

7.188248

7.866114

7.533867

7.538147

7.508279

7.400454

9.827819

7.360373

7.560581

8.178279

7.48588

7.724658

7.575058

7.644518

7.582623

7.433372

8.12362

7.440854

1912.10532

Artymowski Michal

Michal Artymowski, Ido Ben-Dayan, Utkarsh Kumar

Banks-Zaks Cosmology, Inflation, and the Big Bang Singularity

14 Figures , 34 pages, matches the published version

JCAP05(2020)015

10.1088/1475-7516/2020/05/015

null

hep-th astro-ph.CO gr-qc

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

We consider the thermodynamical behavior of Banks-Zaks theory close to the conformal point in a cosmological setting. Due to the anomalous dimension, the resulting pressure and energy density deviate from that of radiation and result in various interesting cosmological scenarios. Specifically, for a given range of parameters one avoids the cosmological singularity. We provide a full "phase diagram" of possible Universe evolution for the given parameters. For a certain range of parameters, the thermal averaged Banks-Zaks theory alone results in an exponentially contracting universe followed by a non-singular bounce and an exponentially expanding universe, i.e. \textit{Inflation without a Big Bang singularity}, or shortly termed "dS Bounce". The temperature of such a universe is bounded from above and below. The result is a theory violating the classical Null Energy Condition (NEC). Considering the Banks-Zaks theory with an additional perfect fluid, yields an even richer phase diagram that includes the standard Big Bang model, stable single "normal" bounce, dS Bounce and stable cyclic solutions. The bouncing and cyclic solutions are with no singularities, and the violation of the NEC happens only near the bounce. We also provide simple analytical conditions for the existence of these non-singular solutions. Hence, within effective field theory, we have a new alternative non-singular cosmology based on the anomalous dimension of Bank-Zaks theory that may include inflation and without resorting to scalar fields.

[ { "created": "Sun, 22 Dec 2019 21:01:30 GMT", "version": "v1" }, { "created": "Wed, 13 May 2020 03:43:59 GMT", "version": "v2" } ]

2020-05-14

[ [ "Artymowski", "Michal", "" ], [ "Ben-Dayan", "Ido", "" ], [ "Kumar", "Utkarsh", "" ] ]

We consider the thermodynamical behavior of Banks-Zaks theory close to the conformal point in a cosmological setting. Due to the anomalous dimension, the resulting pressure and energy density deviate from that of radiation and result in various interesting cosmological scenarios. Specifically, for a given range of parameters one avoids the cosmological singularity. We provide a full "phase diagram" of possible Universe evolution for the given parameters. For a certain range of parameters, the thermal averaged Banks-Zaks theory alone results in an exponentially contracting universe followed by a non-singular bounce and an exponentially expanding universe, i.e. \textit{Inflation without a Big Bang singularity}, or shortly termed "dS Bounce". The temperature of such a universe is bounded from above and below. The result is a theory violating the classical Null Energy Condition (NEC). Considering the Banks-Zaks theory with an additional perfect fluid, yields an even richer phase diagram that includes the standard Big Bang model, stable single "normal" bounce, dS Bounce and stable cyclic solutions. The bouncing and cyclic solutions are with no singularities, and the violation of the NEC happens only near the bounce. We also provide simple analytical conditions for the existence of these non-singular solutions. Hence, within effective field theory, we have a new alternative non-singular cosmology based on the anomalous dimension of Bank-Zaks theory that may include inflation and without resorting to scalar fields.

12.352442

13.050982

11.735874

11.350675

12.228437

13.016111

12.828621

12.458609

11.909063

11.64841

12.060701

12.096571

11.263978

11.248242

11.828061

11.569653

12.076772

11.507247

11.471724

11.537017

11.738939

hep-th/9804173

Ivo Sachs

I. Sachs

On Universality in Black Hole Thermodynamics

Talk given at PASCOS98, LaTex, 4 pages

null

hep-th

null

The low energy decay rates of four- and five dimensional dyonic black holes in string theory are equivalently described in terms of an effective near horizon AdS_3 (BTZ) black hole. It is then argued that AdS_3 gravity provides an universal microscopic description of the low energy dynamics these black holes.

[ { "created": "Mon, 27 Apr 1998 21:14:52 GMT", "version": "v1" } ]

2007-05-23

[ [ "Sachs", "I.", "" ] ]

The low energy decay rates of four- and five dimensional dyonic black holes in string theory are equivalently described in terms of an effective near horizon AdS_3 (BTZ) black hole. It is then argued that AdS_3 gravity provides an universal microscopic description of the low energy dynamics these black holes.

14.331373

10.221467

13.58052

11.575017

11.979618

11.43839

10.699059

11.367628

11.877945

13.228935

10.576878

11.524135

13.383942

11.664351

11.850473

11.057871

11.860396

12.097604

11.611906

12.506499

12.040745

2403.07307

Min-Seok Seo

Asymptotic behavior of saxion-axion system in stringy quintessence model

16 pages, 3 figures

null

hep-th

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

We study the late time behavior of the slow-roll parameter in the stringy quintessence model when axion as well as saxion is allowed to move. Even though the potential is independent of the axion at tree level, the axion can move through its coupling to the saxion and the background geometry. Then the contributions of the axion kinetic energy to the slow-roll parameter and the vacuum energy density are not negligible when the slow-roll approximation does not hold. As the dimension of the field space is doubled, the fixed point at which the time variation of the slow-roll parameter vanishes is not always stable. We find that the fixed point in the saxion-axion system is at most partially stable, in particular when the volume modulus and the axio-dilaton, the essential ingredients of the string compactification, are taken into account. It seems that as we consider more saxion-axion pairs, the stability of the fixed point becomes difficult to achieve.

[ { "created": "Tue, 12 Mar 2024 04:27:34 GMT", "version": "v1" } ]

2024-03-13

[ [ "Seo", "Min-Seok", "" ] ]

We study the late time behavior of the slow-roll parameter in the stringy quintessence model when axion as well as saxion is allowed to move. Even though the potential is independent of the axion at tree level, the axion can move through its coupling to the saxion and the background geometry. Then the contributions of the axion kinetic energy to the slow-roll parameter and the vacuum energy density are not negligible when the slow-roll approximation does not hold. As the dimension of the field space is doubled, the fixed point at which the time variation of the slow-roll parameter vanishes is not always stable. We find that the fixed point in the saxion-axion system is at most partially stable, in particular when the volume modulus and the axio-dilaton, the essential ingredients of the string compactification, are taken into account. It seems that as we consider more saxion-axion pairs, the stability of the fixed point becomes difficult to achieve.

8.265172

9.04028

8.934883

8.019398

8.901649

8.473995

8.900153

8.276224

8.328712

8.417795

8.24259

8.084381

8.270975

8.091014

8.218811

8.317127

8.373129

8.035111

7.975104

8.443703

7.960359

hep-th/9803091

David Broadhurst

D. J. Broadhurst

Massive 3-loop Feynman diagrams reducible to SC* primitives of algebras of the sixth root of unity

41 pages, LaTeX

Eur.Phys.J.C8:311-333,1999

10.1007/s100529900935

OUT--4102--72

hep-th hep-ph math.CA

null

In each of the 10 cases with propagators of unit or zero mass, the finite part of the scalar 3-loop tetrahedral vacuum diagram is reduced to 4-letter words in the 7-letter alphabet of the 1-forms $\Omega:=dz/z$ and $\omega_p:=dz/ (\lambda^{-p}-z)$, where $\lambda$ is the sixth root of unity. Three diagrams yield only $\zeta(\Omega^3\omega_0)=1/90\pi^4$. In two cases $\pi^4$ combines with the Euler-Zagier sum $\zeta(\Omega^2\omega_3\omega_0)=\sum_{m> n>0}(-1)^{m+n}/m^3n$; in three cases it combines with the square of Clausen's $Cl_2(\pi/3)=\Im \zeta(\Omega\omega_1)=\sum_{n>0}\sin(\pi n/3)/n^2$. The case with 6 masses involves no further constant; with 5 masses a Deligne-Euler-Zagier sum appears: $\Re \zeta(\Omega^2\omega_3\omega_1)= \sum_{m>n>0}(-1)^m\cos(2\pi n/3)/m^3n$. The previously unidentified term in the 3-loop rho-parameter of the standard model is merely $D_3=6\zeta(3)-6 Cl_2^2(\pi/3)-{1/24}\pi^4$. The remarkable simplicity of these results stems from two shuffle algebras: one for nested sums; the other for iterated integrals. Each diagram evaluates to 10 000 digits in seconds, because the primitive words are transformable to exponentially convergent single sums, as recently shown for $\zeta(3)$ and $\zeta(5)$, familiar in QCD. Those are SC$^*(2)$ constants, whose base of super-fast computation is 2. Mass involves the novel base-3 set SC$^*(3)$. All 10 diagrams reduce to SC$^*(3)\cup$SC$^* (2)$ constants and their products. Only the 6-mass case entails both bases.

[ { "created": "Wed, 11 Mar 1998 09:33:09 GMT", "version": "v1" } ]

2011-09-13

[ [ "Broadhurst", "D. J.", "" ] ]

In each of the 10 cases with propagators of unit or zero mass, the finite part of the scalar 3-loop tetrahedral vacuum diagram is reduced to 4-letter words in the 7-letter alphabet of the 1-forms $\Omega:=dz/z$ and $\omega_p:=dz/ (\lambda^{-p}-z)$, where $\lambda$ is the sixth root of unity. Three diagrams yield only $\zeta(\Omega^3\omega_0)=1/90\pi^4$. In two cases $\pi^4$ combines with the Euler-Zagier sum $\zeta(\Omega^2\omega_3\omega_0)=\sum_{m> n>0}(-1)^{m+n}/m^3n$; in three cases it combines with the square of Clausen's $Cl_2(\pi/3)=\Im \zeta(\Omega\omega_1)=\sum_{n>0}\sin(\pi n/3)/n^2$. The case with 6 masses involves no further constant; with 5 masses a Deligne-Euler-Zagier sum appears: $\Re \zeta(\Omega^2\omega_3\omega_1)= \sum_{m>n>0}(-1)^m\cos(2\pi n/3)/m^3n$. The previously unidentified term in the 3-loop rho-parameter of the standard model is merely $D_3=6\zeta(3)-6 Cl_2^2(\pi/3)-{1/24}\pi^4$. The remarkable simplicity of these results stems from two shuffle algebras: one for nested sums; the other for iterated integrals. Each diagram evaluates to 10 000 digits in seconds, because the primitive words are transformable to exponentially convergent single sums, as recently shown for $\zeta(3)$ and $\zeta(5)$, familiar in QCD. Those are SC$^*(2)$ constants, whose base of super-fast computation is 2. Mass involves the novel base-3 set SC$^*(3)$. All 10 diagrams reduce to SC$^*(3)\cup$SC$^* (2)$ constants and their products. Only the 6-mass case entails both bases.

9.385859

10.532342

10.153352

9.594023

10.242308

10.7986

11.035382

9.47519

9.557549

11.385085

9.724423

9.386432

9.194918

9.302161

9.052321

9.393307

9.68383

9.248502

9.155582

9.673794

9.12379

1501.07819

Mario Herrero-Valea

Enrique \'Alvarez, Sergio Gonz\'alez-Martin and Mario Herrero-Valea

Some Cosmological Consequences of Weyl Invariance

8 pages, explanation extended, a particular example has been added. This version matches the one to be published in JCAP

null

10.1088/1475-7516/2015/03/035

IFT-UAM/CSIC-15-011, FTUAM-15-4

hep-th gr-qc

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

We examine some Weyl invariant cosmological models in the framework of generalized dilaton gravity, in which the action is made of a set of $N$ conformally coupled scalar fields. It will be shown that when the FRW ansatz for the spacetime metric is assumed, the Ward identity for conformal invariance guarantees that the gravitational equations hold whenever the scalar fields EM do so. It follows that any scale factor can solve the theory provided a non-trivial profile for a dilaton field. In particular, accelerated expansion is a natural solution to the full set of equations.

[ { "created": "Fri, 30 Jan 2015 16:08:05 GMT", "version": "v1" }, { "created": "Mon, 23 Feb 2015 10:40:12 GMT", "version": "v2" } ]

2015-06-23

[ [ "Álvarez", "Enrique", "" ], [ "González-Martin", "Sergio", "" ], [ "Herrero-Valea", "Mario", "" ] ]

We examine some Weyl invariant cosmological models in the framework of generalized dilaton gravity, in which the action is made of a set of $N$ conformally coupled scalar fields. It will be shown that when the FRW ansatz for the spacetime metric is assumed, the Ward identity for conformal invariance guarantees that the gravitational equations hold whenever the scalar fields EM do so. It follows that any scale factor can solve the theory provided a non-trivial profile for a dilaton field. In particular, accelerated expansion is a natural solution to the full set of equations.

12.094174

11.904609

12.332876

10.81445

12.668983

12.959077

12.798963

12.160755

11.9531

13.551025

11.260923

11.488486

10.949349

11.199119

11.670765

11.881287

11.669263

11.573137

11.532507

11.197862

11.417688

hep-th/0405005

Tomas Ortin

Agujeros negros clasicos y cuanticos en teoria de cuerdas

LaTeX2e file, 164 pages, 14 figures, in Spanish

null

hep-th

null

Introductory lectures on classical and quantum string black holes (supergravity, branes and dualities) given at the VII School "La Hechicera" of Relativity, Fields and Astrophysics, held in the University of Los Andes, Merida (Venezuela) 2001. Fully in Spanish.

[ { "created": "Fri, 30 Apr 2004 22:20:28 GMT", "version": "v1" } ]

2007-05-23

[ [ "Ortin", "Tomas", "" ] ]

Introductory lectures on classical and quantum string black holes (supergravity, branes and dualities) given at the VII School "La Hechicera" of Relativity, Fields and Astrophysics, held in the University of Los Andes, Merida (Venezuela) 2001. Fully in Spanish.

16.38802

15.019572

18.802404

15.521659

16.349957

15.949657

16.507624

18.276831

14.917488

20.295208

14.764511

15.092874

13.951124

13.696108

12.461083

14.564773

14.371653

14.008623

14.088986

14.251538

13.906948

0706.0409

Isao Kishimoto

Isao Kishimoto, Yoji Michishita

Comments on Solutions for Nonsingular Currents in Open String Field Theories

23 pages; v2: PTPTeX, typos corrected

Prog.Theor.Phys.118:347-369,2007

10.1143/PTP.118.347

KEK-TH-1156, RIKEN-TH-102

hep-th

null

We investigate analytic solutions to Witten's bosonic string field theory and Berkovits' WZW-type superstring field theory. We construct solutions with parameters out of simpler ones, using a commutative monoid that includes the family of wedge states. Our solutions are generalizations of solutions for marginal deformations by nonsingular currents, and can also reproduce Schnabl's tachyon vacuum solution in bosonic string field theory. This implies that such known solutions are generated from simple solutions which are based on the identity state. We also discuss gauge transformations and induced field redefinitions for our solutions in both bosonic and super string field theory.

[ { "created": "Mon, 4 Jun 2007 10:27:48 GMT", "version": "v1" }, { "created": "Thu, 2 Aug 2007 11:19:17 GMT", "version": "v2" } ]

2008-11-26

[ [ "Kishimoto", "Isao", "" ], [ "Michishita", "Yoji", "" ] ]

We investigate analytic solutions to Witten's bosonic string field theory and Berkovits' WZW-type superstring field theory. We construct solutions with parameters out of simpler ones, using a commutative monoid that includes the family of wedge states. Our solutions are generalizations of solutions for marginal deformations by nonsingular currents, and can also reproduce Schnabl's tachyon vacuum solution in bosonic string field theory. This implies that such known solutions are generated from simple solutions which are based on the identity state. We also discuss gauge transformations and induced field redefinitions for our solutions in both bosonic and super string field theory.

14.169765

14.815115

18.049938

12.081095

13.898871

13.643887

14.423717

12.239229

12.917208

18.226788

13.302502

13.097802

13.728807

12.624165

12.678284

13.765401

13.074218

12.698079

13.821446

14.321704

12.210322

hep-th/9305055

Quevedo

Fernando Quevedo

Abelian and Non-Abelian Dualities in String Bacgrounds

12 pages, harvmac, 2 figures included. NEIP-003/93

null

hep-th

null

We present a brief discussion of recent work on duality symmetries in non-trivial string backgrounds. Duality is obtained from a gauged non-linear sigma-model with vanishing gauge field strength. Standard results are reproduced for abelian gauge groups, whereas a new type of duality is identified for non--abelian gauge groups. Examples of duals of WZW models and 4-d black holes are given. (Presented at `From Superstrings to Supergravity', Erice 1992)

[ { "created": "Thu, 13 May 1993 09:14:37 GMT", "version": "v1" } ]

2009-09-25

[ [ "Quevedo", "Fernando", "" ] ]

We present a brief discussion of recent work on duality symmetries in non-trivial string backgrounds. Duality is obtained from a gauged non-linear sigma-model with vanishing gauge field strength. Standard results are reproduced for abelian gauge groups, whereas a new type of duality is identified for non--abelian gauge groups. Examples of duals of WZW models and 4-d black holes are given. (Presented at `From Superstrings to Supergravity', Erice 1992)

11.209769

8.097482

10.444585

7.94635

8.437863

7.665035

7.977782

8.590459

8.241677

10.747007

7.826435

8.75797

9.876439

8.854233

9.18806

8.945104

9.489615

9.279293

9.02437

10.318247

9.124469

2111.02072

Luca Santoni

Lam Hui, Alessandro Podo, Luca Santoni and Enrico Trincherini

Effective Field Theory for the Perturbations of a Slowly Rotating Black Hole

null

10.1007/JHEP12(2021)183

null

hep-th gr-qc

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

We develop the effective theory for perturbations around black holes with scalar hair, in two directions. First, we show that the scalar-Gauss--Bonnet theory, often used as an example exhibiting scalar black hole hair, can be deformed by galileon operators leading to order unity changes to its predictions. The effective theory for perturbations thus provides an efficient framework for describing and constraining broad classes of scalar-tensor theories, of which the addition of galileon operators is an example. Second, we extend the effective theory to perturbations around an axisymmetric, slowly rotating black hole, at linear order in the black hole spin. We also discuss the inclusion of parity-breaking operators in the effective theory.

[ { "created": "Wed, 3 Nov 2021 08:42:28 GMT", "version": "v1" }, { "created": "Fri, 14 Jan 2022 09:03:14 GMT", "version": "v2" } ]

2022-01-17

[ [ "Hui", "Lam", "" ], [ "Podo", "Alessandro", "" ], [ "Santoni", "Luca", "" ], [ "Trincherini", "Enrico", "" ] ]

We develop the effective theory for perturbations around black holes with scalar hair, in two directions. First, we show that the scalar-Gauss--Bonnet theory, often used as an example exhibiting scalar black hole hair, can be deformed by galileon operators leading to order unity changes to its predictions. The effective theory for perturbations thus provides an efficient framework for describing and constraining broad classes of scalar-tensor theories, of which the addition of galileon operators is an example. Second, we extend the effective theory to perturbations around an axisymmetric, slowly rotating black hole, at linear order in the black hole spin. We also discuss the inclusion of parity-breaking operators in the effective theory.

9.535901

9.33812

9.065968

8.681869

9.698865

9.849249

9.403894

8.689798

9.605307

10.383147

9.500476

9.450355

8.762422

9.292247

9.01858

9.498381

9.44628

8.981024

9.39981

9.288605

9.187137

hep-th/0607081

Mohammad Ansari

Mohammad H. Ansari

Spectroscopy of a canonically quantized horizon

49 pages, 8 figures. Published in section: Field Theory And Statistical Systems

Nucl.Phys.B783:179-212,2007

10.1016/j.nuclphysb.2007.01.009

null

hep-th gr-qc

null

Deviations from Hawking's thermal black hole spectrum, observable for macroscopic black holes, are derived from a model of a quantum horizon in loop quantum gravity. These arise from additional area eigenstates present in quantum surfaces excluded by the classical isolated horizon boundary conditions. The complete spectrum of area unexpectedly exhibits evenly spaced symmetry. This leads to an enhancement of some spectral lines on top of the thermal spectrum. This can imprint characteristic features into the spectra of black hole systems. It most notably gives the signature of quantum gravity observability in radiation from primordial black holes, and makes it possible to test loop quantum gravity with black holes well above Planck scale.

[ { "created": "Wed, 12 Jul 2006 19:52:11 GMT", "version": "v1" }, { "created": "Thu, 13 Jul 2006 14:28:25 GMT", "version": "v2" }, { "created": "Wed, 6 Dec 2006 17:32:25 GMT", "version": "v3" }, { "created": "Wed, 9 Apr 2008 00:30:52 GMT", "version": "v4" } ]

2008-11-26

[ [ "Ansari", "Mohammad H.", "" ] ]

Deviations from Hawking's thermal black hole spectrum, observable for macroscopic black holes, are derived from a model of a quantum horizon in loop quantum gravity. These arise from additional area eigenstates present in quantum surfaces excluded by the classical isolated horizon boundary conditions. The complete spectrum of area unexpectedly exhibits evenly spaced symmetry. This leads to an enhancement of some spectral lines on top of the thermal spectrum. This can imprint characteristic features into the spectra of black hole systems. It most notably gives the signature of quantum gravity observability in radiation from primordial black holes, and makes it possible to test loop quantum gravity with black holes well above Planck scale.

21.196424

22.718187

19.192829

17.601318

21.924862

19.017933

21.97554

17.651525

21.911865

19.739809

20.811224

20.982809

19.262354

19.734976

20.140247

20.081697

19.384651

20.179405

20.415405

19.172251

20.289351

2006.12054

Evgenii Ievlev

E. Ievlev, M. Shifman, A. Yung

String "Baryon'' in Four-Dimensional $\mathcal{N} = 2$ Supersymmetric QCD from 2D-4D Correspondence

53 pages, 9 figures

Phys. Rev. D 102, 054026 (2020)

10.1103/PhysRevD.102.054026

FTPI-MINN-20-19, UMN-TH-3920/20

hep-th

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

We study non-Abelian vortex strings in four-dimensional (4D) $\mathcal{N} = 2$ supersymmetric QCD with U$(N=2)$ gauge group and $N_f=4$ flavors of quark hypermultiplets. It has been recently shown that these vortices behave as critical superstrings. The spectrum of closed string states in the associated string theory was found and interpreted as a spectrum of hadrons in 4D $\mathcal{N} = 2$ supersymmetric QCD. In particular, the lowest string state appears to be a massless BPS "baryon." Here we show the occurrence of this stringy baryon using a purely field-theoretic method. To this end we study the conformal world-sheet theory on the non-Abelian string -- the so called weighted $\mathcal{N} = (2,2)$ supersymmetric $\mathbb{CP}$ model. Its target space is given by the six-dimensional non-compact Calabi-Yau space $Y_6$, the conifold. We use mirror description of the model to study the BPS kink spectrum and its transformations on curves (walls) of marginal stability. Then we use the 2D-4D correspondence to show that the deformation of the complex structure of the conifold is associated with the emergence of a non-perturbative Higgs branch in 4D theory which opens up at strong coupling. The modulus parameter on this Higgs branch is the vacuum expectation value of the massless BPS "baryon" previously found in string theory.

[ { "created": "Mon, 22 Jun 2020 08:06:29 GMT", "version": "v1" } ]

2020-10-07

[ [ "Ievlev", "E.", "" ], [ "Shifman", "M.", "" ], [ "Yung", "A.", "" ] ]

We study non-Abelian vortex strings in four-dimensional (4D) $\mathcal{N} = 2$ supersymmetric QCD with U$(N=2)$ gauge group and $N_f=4$ flavors of quark hypermultiplets. It has been recently shown that these vortices behave as critical superstrings. The spectrum of closed string states in the associated string theory was found and interpreted as a spectrum of hadrons in 4D $\mathcal{N} = 2$ supersymmetric QCD. In particular, the lowest string state appears to be a massless BPS "baryon." Here we show the occurrence of this stringy baryon using a purely field-theoretic method. To this end we study the conformal world-sheet theory on the non-Abelian string -- the so called weighted $\mathcal{N} = (2,2)$ supersymmetric $\mathbb{CP}$ model. Its target space is given by the six-dimensional non-compact Calabi-Yau space $Y_6$, the conifold. We use mirror description of the model to study the BPS kink spectrum and its transformations on curves (walls) of marginal stability. Then we use the 2D-4D correspondence to show that the deformation of the complex structure of the conifold is associated with the emergence of a non-perturbative Higgs branch in 4D theory which opens up at strong coupling. The modulus parameter on this Higgs branch is the vacuum expectation value of the massless BPS "baryon" previously found in string theory.

5.970656

5.119578

6.63463

5.376567

5.511731

5.389322

5.149753

5.03554

5.334668

7.206297

5.291698

5.64888

6.346631

5.693101

5.885999

5.776774

5.754112

5.75176

5.907169

6.304502

5.729212

hep-th/0002022

M. Blagojevic

M. Blagojevic and I. A. Nikolic

Hamiltonian structure of the teleparallel formulation of GR

17 pages, RevTex

Phys.Rev.D62:024021,2000

10.1103/PhysRevD.62.024021

null

hep-th gr-qc

null

We apply Dirac's Hamiltonian approach to study the canonical structure of the teleparallel form of general relativity without matter fields. It is shown, without any gauge fixing, that the Hamiltonian has the generalized Dirac-ADM form, and constraints satisfy all the consistency requirements. The set of constraints involves some extra first class constraints, which are used to find additional gauge symmetries and clarify the gauge structure of the theory.

[ { "created": "Wed, 2 Feb 2000 21:44:41 GMT", "version": "v1" } ]

2010-01-27

[ [ "Blagojevic", "M.", "" ], [ "Nikolic", "I. A.", "" ] ]

We apply Dirac's Hamiltonian approach to study the canonical structure of the teleparallel form of general relativity without matter fields. It is shown, without any gauge fixing, that the Hamiltonian has the generalized Dirac-ADM form, and constraints satisfy all the consistency requirements. The set of constraints involves some extra first class constraints, which are used to find additional gauge symmetries and clarify the gauge structure of the theory.

11.223481

10.112803

10.148112

9.268205

10.283169

9.957106

10.01652

9.722306

9.72654

11.586466

9.758842

9.602317

9.634065

9.602456

9.689142

9.255462

9.813005

9.742233

9.901157

10.198812

9.632905

1410.2311

Jun-Bao Wu

Bin Chen, Jun-Bao Wu, Meng-Qi Zhu

Holographical Description of BPS Wilson Loops in Flavored ABJM Theory

v3, 19 pages, no figures, typoes fixed

JHEP 12 (2014) 143

10.1007/JHEP12(2014)143

null

hep-th

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

As holographic description of BPS Wilson loops in ${\cal N}=3$ flavored ABJM theory with $N_f=k=1$, BPS M2-branes in $AdS_4\times N(1, 1)$ are studied in details. Two $1/3$-BPS membrane configurations are found. One of them is dual to the $1/3$-BPS Wilson loop of Gaiotto-Yin type. The regulated membrane action captures precisely the leading exponential behavior of the vacuum expectation values of $1/3$-BPS Wilson loops in the strong coupling limit, which was computed before using supersymmetric localization technique. Moreover, there is no BPS membrane with more supersymmetries in the background, under quite natural assumption on the membrane worldvolume. This suggests that there is no Wilson loop preserving more than 1/3 supersymmetries in such flavored ABJM theory.

[ { "created": "Wed, 8 Oct 2014 23:20:23 GMT", "version": "v1" }, { "created": "Sun, 28 Dec 2014 16:11:23 GMT", "version": "v2" }, { "created": "Tue, 9 Jun 2015 09:02:44 GMT", "version": "v3" } ]

2015-06-10

[ [ "Chen", "Bin", "" ], [ "Wu", "Jun-Bao", "" ], [ "Zhu", "Meng-Qi", "" ] ]

As holographic description of BPS Wilson loops in ${\cal N}=3$ flavored ABJM theory with $N_f=k=1$, BPS M2-branes in $AdS_4\times N(1, 1)$ are studied in details. Two $1/3$-BPS membrane configurations are found. One of them is dual to the $1/3$-BPS Wilson loop of Gaiotto-Yin type. The regulated membrane action captures precisely the leading exponential behavior of the vacuum expectation values of $1/3$-BPS Wilson loops in the strong coupling limit, which was computed before using supersymmetric localization technique. Moreover, there is no BPS membrane with more supersymmetries in the background, under quite natural assumption on the membrane worldvolume. This suggests that there is no Wilson loop preserving more than 1/3 supersymmetries in such flavored ABJM theory.

8.05751

7.690075

9.19559

7.291645

7.907976

7.363636

8.072863

7.514438

7.867304

9.8738

7.848437

7.740477

8.181055

7.674152

7.502363

7.816394

7.801486

7.626312

7.500528

8.426954

7.711971

1405.1862

Daniele Steer

J.Mourad, D.A.Steer

Translation invariant time-dependent solutions to massive gravity II

19 pages, 1 figure

null

10.1088/1475-7516/2014/06/058

null

hep-th gr-qc

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

This paper is a sequel to arXiv:1310.6560 [hep-th] and is also devoted to translation-invariant solutions of ghost-free massive gravity in its moving frame formulation. Here we consider a mass term which is linear in the vielbein (corresponding to a $\beta_3$ term in the 4D metric formulation) in addition to the cosmological constant. We determine explicitly the constraints, and from the initial value formulation show that the time-dependent solutions can have singularities at a finite time. Although the constraints give, as in the $\beta_1$ case, the correct number of degrees of freedom for a massive spin two field, we show that the lapse function can change sign at a finite time causing a singular time evolution. This is very different to the $\beta_1$ case where time evolution is always well defined. We conclude that the $\beta_3$ mass term can be pathological and should be treated with care.

[ { "created": "Thu, 8 May 2014 10:07:24 GMT", "version": "v1" } ]

2015-06-19

[ [ "Mourad", "J.", "" ], [ "Steer", "D. A.", "" ] ]

This paper is a sequel to arXiv:1310.6560 [hep-th] and is also devoted to translation-invariant solutions of ghost-free massive gravity in its moving frame formulation. Here we consider a mass term which is linear in the vielbein (corresponding to a $\beta_3$ term in the 4D metric formulation) in addition to the cosmological constant. We determine explicitly the constraints, and from the initial value formulation show that the time-dependent solutions can have singularities at a finite time. Although the constraints give, as in the $\beta_1$ case, the correct number of degrees of freedom for a massive spin two field, we show that the lapse function can change sign at a finite time causing a singular time evolution. This is very different to the $\beta_1$ case where time evolution is always well defined. We conclude that the $\beta_3$ mass term can be pathological and should be treated with care.

7.084471

7.445253

7.411328

6.86011

7.616535

7.682886

7.515251

7.413087

7.187837

7.717338

7.089726

6.860857

7.017462

6.825557

6.876733

6.731385

6.828724

6.845054

6.829825

6.808525

6.830862

hep-th/0309192

Marco Bertola

M. Bertola

Second and Third Order Observables of the Two-Matrix Model

22 pages, v2 with added references and minor corrections

JHEP 0311 (2003) 062

10.1088/1126-6708/2003/11/062

CRM-2931

hep-th nlin.SI

null

In this paper we complement our recent result on the explicit formula for the planar limit of the free energy of the two-matrix model by computing the second and third order observables of the model in terms of canonical structures of the underlying genus g spectral curve. In particular we provide explicit formulas for any three-loop correlator of the model. Some explicit examples are worked out.

[ { "created": "Fri, 19 Sep 2003 16:46:22 GMT", "version": "v1" }, { "created": "Thu, 19 Feb 2004 20:17:07 GMT", "version": "v2" } ]

2009-11-10

[ [ "Bertola", "M.", "" ] ]

In this paper we complement our recent result on the explicit formula for the planar limit of the free energy of the two-matrix model by computing the second and third order observables of the model in terms of canonical structures of the underlying genus g spectral curve. In particular we provide explicit formulas for any three-loop correlator of the model. Some explicit examples are worked out.

12.357912

12.195912

13.574421

10.729087

11.666918

10.904844

10.653512

11.386233

9.980536

12.962721

10.237364

11.535094

12.186968

10.403307

11.029229

11.232802

10.55663

10.729177

10.509042

11.460947

10.830089

1509.07876

Adam Brown

Adam R. Brown, Daniel A. Roberts, Leonard Susskind, Brian Swingle, and Ying Zhao

Complexity Equals Action

published as "Holographic Complexity Equals Bulk Action?"

Phys. Rev. Lett. 116, 191301 (2016)

10.1103/PhysRevLett.116.191301

null

hep-th

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

We conjecture that the quantum complexity of a holographic state is dual to the action of a certain spacetime region that we call a Wheeler-DeWitt patch. We illustrate and test the conjecture in the context of neutral, charged, and rotating black holes in AdS, as well as black holes perturbed with static shells and with shock waves. This conjecture evolved from a previous conjecture that complexity is dual to spatial volume, but appears to be a major improvement over the original. In light of our results, we discuss the hypothesis that black holes are the fastest computers in nature.

[ { "created": "Fri, 25 Sep 2015 20:06:58 GMT", "version": "v1" }, { "created": "Tue, 15 Dec 2015 23:10:00 GMT", "version": "v2" }, { "created": "Tue, 10 May 2016 21:49:25 GMT", "version": "v3" } ]

2016-05-12

[ [ "Brown", "Adam R.", "" ], [ "Roberts", "Daniel A.", "" ], [ "Susskind", "Leonard", "" ], [ "Swingle", "Brian", "" ], [ "Zhao", "Ying", "" ] ]

We conjecture that the quantum complexity of a holographic state is dual to the action of a certain spacetime region that we call a Wheeler-DeWitt patch. We illustrate and test the conjecture in the context of neutral, charged, and rotating black holes in AdS, as well as black holes perturbed with static shells and with shock waves. This conjecture evolved from a previous conjecture that complexity is dual to spatial volume, but appears to be a major improvement over the original. In light of our results, we discuss the hypothesis that black holes are the fastest computers in nature.

8.066354

6.492997

7.935657

7.131347

6.451796

6.8574

7.389758

7.068466

7.606375

8.486961

7.588214

7.452274

7.618085

7.178477

7.16848

7.16415

7.098801

7.517306

7.313029

7.891401

7.124665

hep-th/9706055

Hans-Christian Pauli

U. Trittmann (MPI Kernphysik, Heidelberg, Germany)

Front form QED(3+1): The spin-multiplet structure of the positronium spectrum at strong coupling

Latex, 8 pages, 5 figures

Proc. Les Houches School, France, Feb. 24-March 7, 1997, eds. P. Grange, A. Neveu, H.-C. Pauli, S. Pinsky, E. Werner, (Berlin, Germany: Springer, Les Ulis, France: EDP Sciences, 1998) pp. 89-96

null

hep-th hep-ph

null

Numerical results on the positronium spectrum in the front form of QED at large coupling constant are presented. Emphasis is put on the question whether one can derive an effective interaction at all, and whether this effective interaction is rotationally invariant. (Proceedings of Les Houches 1997)

[ { "created": "Mon, 9 Jun 1997 11:12:56 GMT", "version": "v1" } ]

2007-05-23

[ [ "Trittmann", "U.", "", "MPI Kernphysik, Heidelberg, Germany" ] ]

Numerical results on the positronium spectrum in the front form of QED at large coupling constant are presented. Emphasis is put on the question whether one can derive an effective interaction at all, and whether this effective interaction is rotationally invariant. (Proceedings of Les Houches 1997)

13.514045

10.295059

11.548862

10.260809

12.244545

11.225033

11.977517

10.783745

9.464373

11.479244

11.740626

11.119729

10.54663

10.353954

11.278616

11.6823

10.454009

11.204503

10.254661

11.295557

11.167497

1403.5469

Alexandre Kisselev

A.V. Kisselev

Physical models within the framework of the Randall-Sundrum scenario

13 pages, new comments and two equations are added, one formula is corrected

null

hep-th hep-ph

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

The Randall-Sundrum scenario with non-factorizable geometry and fifth dimension y being an orbifold, is studied. It has two branes located at fixed points of the orbifold. The four-dimensional metric is multiplied by a warp factor exp[sigma(y)]. Recently, a new general expression for sigma(y) was derived which has the orbifold symmetry y -> - y and explicitly reproduces jumps of its derivative on both branes. It is symmetric with respect to the branes. The function sigma(y) is determined by the Einstein-Hilbert's equations up to a constant C. In the present paper we demonstrate that different values of C result in quite different physical schemes. Three schemes are considered, among which are: (i) the RS1 model; (ii) the RSSC model with a small curvature of the five-dimensional space-time; (iii) the "symmetric" scheme with C=0. The latter scenario is studied in detail.

[ { "created": "Fri, 21 Mar 2014 14:12:49 GMT", "version": "v1" }, { "created": "Sat, 12 Apr 2014 16:15:51 GMT", "version": "v2" }, { "created": "Thu, 29 May 2014 15:27:37 GMT", "version": "v3" } ]

2014-05-30

[ [ "Kisselev", "A. V.", "" ] ]

The Randall-Sundrum scenario with non-factorizable geometry and fifth dimension y being an orbifold, is studied. It has two branes located at fixed points of the orbifold. The four-dimensional metric is multiplied by a warp factor exp[sigma(y)]. Recently, a new general expression for sigma(y) was derived which has the orbifold symmetry y -> - y and explicitly reproduces jumps of its derivative on both branes. It is symmetric with respect to the branes. The function sigma(y) is determined by the Einstein-Hilbert's equations up to a constant C. In the present paper we demonstrate that different values of C result in quite different physical schemes. Three schemes are considered, among which are: (i) the RS1 model; (ii) the RSSC model with a small curvature of the five-dimensional space-time; (iii) the "symmetric" scheme with C=0. The latter scenario is studied in detail.

10.166813

8.257888

9.821666

8.877436

8.525626

8.498292

8.390309

8.390253

8.518454

10.927104

8.88773

9.124503

9.437581

8.992957

9.018129

9.277065

9.500527

9.07303

9.012457

9.368438

8.976194

1702.02324

Yu Nakayama

Can we change $c$ in four-dimensional CFTs by exactly marginal deformations?

18 pages, v2: minor corrections, appendix added

null

10.1007/JHEP07(2017)004

RUP-17-3

hep-th

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

There is no known obstructions, but we have not been aware of any concrete examples, either. The Wess-Zumino consistency condition for the conformal anomaly says that $a$ cannot change but does not say anything about $c$. In supersymmetric models, both $a$ and $c$ are determined from the triangle t'Hooft anomalies and the unitarity demands that both must be fixed, so the unitary supersymmetric conformal field theories do not admit such a possibility. Given this field theory situation, we construct an effective AdS/CFT model without supersymmetry in which $c$ changes under exactly marginal deformations. So, yes, we can.

[ { "created": "Wed, 8 Feb 2017 08:37:08 GMT", "version": "v1" }, { "created": "Tue, 21 Feb 2017 02:06:19 GMT", "version": "v2" } ]

2017-08-02

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

There is no known obstructions, but we have not been aware of any concrete examples, either. The Wess-Zumino consistency condition for the conformal anomaly says that $a$ cannot change but does not say anything about $c$. In supersymmetric models, both $a$ and $c$ are determined from the triangle t'Hooft anomalies and the unitarity demands that both must be fixed, so the unitary supersymmetric conformal field theories do not admit such a possibility. Given this field theory situation, we construct an effective AdS/CFT model without supersymmetry in which $c$ changes under exactly marginal deformations. So, yes, we can.

14.675303

14.339442

13.732127

13.037062

13.772013

12.866946

14.77143

13.393956

13.029546

16.398537

12.911087

12.691444

12.904646

12.143885

12.579473

13.25248

12.244595

12.042607

12.321547

12.652037

12.71925

hep-th/9808145

Hagen Kleinert

Variational Resummation of $\epsilon$-Expansions of Critical Exponents of Nonlinear O(N)-Symmetric $\sigma$-Model in $2+\epsilon$ Dimensions

Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper also at http://www.physik.fu-berlin.de/~kleinert/kleiner_re275

Phys.Lett. A264 (2000) 357-365

10.1016/S0375-9601(99)00833-6

null

hep-th cond-mat

null

We develop a method for extracting accurate critical exponents from perturbation expansions of the O(n)-symmetric nonlinear sigma-model in D=2+ epsilon dimensions. This is possible by considering the epsilon-expansions in this model as strong-coupling expansions of functions of the variable tildevarepsilon = 2(4-D)/(D-2), whose first five weak-coupling expansion coefficients of powers of tildevarepsilon are known from varepsilon-expansions of critical exponents in O(n)-symmetric phi^4-theory in D=4-epsilon dimensions.

[ { "created": "Mon, 24 Aug 1998 13:43:10 GMT", "version": "v1" }, { "created": "Sun, 28 Nov 1999 07:27:28 GMT", "version": "v2" } ]

2009-10-31

[ [ "Kleinert", "Hagen", "" ] ]

We develop a method for extracting accurate critical exponents from perturbation expansions of the O(n)-symmetric nonlinear sigma-model in D=2+ epsilon dimensions. This is possible by considering the epsilon-expansions in this model as strong-coupling expansions of functions of the variable tildevarepsilon = 2(4-D)/(D-2), whose first five weak-coupling expansion coefficients of powers of tildevarepsilon are known from varepsilon-expansions of critical exponents in O(n)-symmetric phi^4-theory in D=4-epsilon dimensions.

8.589386

9.192087

9.100481

8.273143

8.629095

9.076899

9.219765

8.544624

8.122211

10.531816

7.983553

8.472094

8.295259

8.105583

8.26452

8.206532

8.400309

8.110089

8.311235

8.697911

8.098052

1508.05926

Qiyuan Pan

Chuyu Lai, Qiyuan Pan, Jiliang Jing and Yongjiu Wang

On analytical study of holographic superconductors with Born-Infeld electrodynamics

13 pages, 4 tables, accepted for publication in Phys. Lett. B

Phys. Lett. B 749 (2015) 437

10.1016/j.physletb.2015.08.014

null

hep-th gr-qc

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

Based on the Sturm-Liouville eigenvalue problem, Banerjee \emph{et al.} proposed a perturbative approach to analytically investigate the properties of the ($2+1$)-dimensional superconductor with Born-Infeld electrodynamics [Phys. Rev. D {\bf 87}, 104001 (2013)]. By introducing an iterative procedure, we will further improve the analytical results and the consistency with the numerical findings, and can easily extend the analytical study to the higher-dimensional superconductor with Born-Infeld electrodynamics. We observe that the higher Born-Infeld corrections make it harder for the condensation to form but do not affect the critical phenomena of the system. Our analytical results can be used to back up the numerical computations for the holographic superconductors with various condensates in Born-Infeld electrodynamics.

[ { "created": "Mon, 24 Aug 2015 19:43:37 GMT", "version": "v1" } ]

2015-08-25

[ [ "Lai", "Chuyu", "" ], [ "Pan", "Qiyuan", "" ], [ "Jing", "Jiliang", "" ], [ "Wang", "Yongjiu", "" ] ]

Based on the Sturm-Liouville eigenvalue problem, Banerjee \emph{et al.} proposed a perturbative approach to analytically investigate the properties of the ($2+1$)-dimensional superconductor with Born-Infeld electrodynamics [Phys. Rev. D {\bf 87}, 104001 (2013)]. By introducing an iterative procedure, we will further improve the analytical results and the consistency with the numerical findings, and can easily extend the analytical study to the higher-dimensional superconductor with Born-Infeld electrodynamics. We observe that the higher Born-Infeld corrections make it harder for the condensation to form but do not affect the critical phenomena of the system. Our analytical results can be used to back up the numerical computations for the holographic superconductors with various condensates in Born-Infeld electrodynamics.

7.319386

6.087404

6.414124

5.975821

6.103358

6.328544

6.148466

6.094964

5.811436

6.699783

6.20671

6.591057

6.474784

6.4265

6.60371

6.52295

6.424054

6.355684

6.786916

6.617284

6.344786

hep-th/0403069

Mohammad M. Sheikh-Jabbari

Stephon H. S. Alexander, Michael E. Peskin, and M. M. Sheikh-Jabbari

Leptogenesis from Gravity Waves in Models of Inflation

4 pages, RevTeX4.1 format; an error in computations corrected

Phys.Rev.Lett.96:081301,2006

10.1103/PhysRevLett.96.081301

SU-ITP-04/08, SLAC-PUB-10226

hep-th astro-ph hep-ph

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

We present a new mechanism for creating the observed cosmic matter-antimatter asymmetry which satisfies all three Sakharov conditions from one common thread, gravitational waves. We generate lepton number through the gravitational anomaly in the lepton number current. The source term comes from elliptically polarizated gravity waves that are produced during inflation if the inflaton field contains a CP-odd component. In simple inflationary scenarios, the generated matter asymmetry is very small. We describe some special conditions in which our mechanism can give a matter asymmetry of realistic size.

[ { "created": "Fri, 5 Mar 2004 20:07:42 GMT", "version": "v1" }, { "created": "Fri, 5 Mar 2004 22:06:55 GMT", "version": "v2" }, { "created": "Fri, 19 Mar 2004 20:13:12 GMT", "version": "v3" }, { "created": "Sat, 15 Mar 2014 06:17:32 GMT", "version": "v4" } ]

2014-03-18

[ [ "Alexander", "Stephon H. S.", "" ], [ "Peskin", "Michael E.", "" ], [ "Sheikh-Jabbari", "M. M.", "" ] ]

We present a new mechanism for creating the observed cosmic matter-antimatter asymmetry which satisfies all three Sakharov conditions from one common thread, gravitational waves. We generate lepton number through the gravitational anomaly in the lepton number current. The source term comes from elliptically polarizated gravity waves that are produced during inflation if the inflaton field contains a CP-odd component. In simple inflationary scenarios, the generated matter asymmetry is very small. We describe some special conditions in which our mechanism can give a matter asymmetry of realistic size.

13.854412

13.219124

13.79875

12.623719

12.644181

13.441702

12.136385

12.052221

13.130591

13.958477

12.47016

12.654079

12.564582

12.085375

12.578894

12.784571

12.551943

12.48362

12.196936

12.860164

12.141831

2110.11388

Yu-Ting Liu

Lance J. Dixon, Yu-Ting Liu, Julian Miczajka

Heptagon Functions and Seven-Gluon Amplitudes in Multi-Regge Kinematics

33 pages, 3 figures, added details and fixed refs

null

10.1007/JHEP12(2021)218

null

hep-th

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

We compute all $2\to5$ gluon scattering amplitudes in planar $\mathcal{N}=4$ super-Yang-Mills theory in the multi-Regge limit that is sensitive to the non-trivial ("long") Regge cut. We provide the amplitudes through four loops and to all logarithmic accuracy at leading power, in terms of single-valued multiple polylogarithms of two variables. To obtain these results, we leverage the function-level results for the amplitudes in the Steinmann cluster bootstrap. To high powers in the series expansion in the two variables, our results agree with the recently conjectured all-order central emission vertex used in the Fourier-Mellin representation of amplitudes in multi-Regge kinematics. Our results therefore provide a resummation of the Fourier-Mellin residues into single-valued polylogarithms, and constitute an important cross-check between the bootstrap approach and the all-orders multi-Regge proposal.

[ { "created": "Thu, 21 Oct 2021 18:14:13 GMT", "version": "v1" }, { "created": "Mon, 13 Dec 2021 20:25:14 GMT", "version": "v2" } ]

2022-01-19

[ [ "Dixon", "Lance J.", "" ], [ "Liu", "Yu-Ting", "" ], [ "Miczajka", "Julian", "" ] ]

We compute all $2\to5$ gluon scattering amplitudes in planar $\mathcal{N}=4$ super-Yang-Mills theory in the multi-Regge limit that is sensitive to the non-trivial ("long") Regge cut. We provide the amplitudes through four loops and to all logarithmic accuracy at leading power, in terms of single-valued multiple polylogarithms of two variables. To obtain these results, we leverage the function-level results for the amplitudes in the Steinmann cluster bootstrap. To high powers in the series expansion in the two variables, our results agree with the recently conjectured all-order central emission vertex used in the Fourier-Mellin representation of amplitudes in multi-Regge kinematics. Our results therefore provide a resummation of the Fourier-Mellin residues into single-valued polylogarithms, and constitute an important cross-check between the bootstrap approach and the all-orders multi-Regge proposal.

8.636316

8.368499

9.572946

8.317141

8.643708

8.270753

8.415049

7.879601

7.366456

9.831243

8.036961

8.007587

8.138556

7.315701

7.871956

7.882302

7.816661

8.085256

7.663697

8.240356

8.017766

hep-th/9801027

null

Giuseppe Carlino, Kenichi Konishi and Haruhiko Terao

Quark Number Fractionalization in N=2 Supersymmetric $SU(2) \times U(1)^{N_f}$ Gauge Theories

Latex file, 14 pages, 1 Postscript figure

JHEP 9804:003,1998

10.1088/1126-6708/1998/04/003

GEF-Th-11/1997; Kanazawa 97-21

hep-th hep-ph

null

Physical quark-number charges of dyons are determined, via a formula which generalizes that of Witten for the electric charge, in N=2 supersymmetric theories with $SU(2) \times U(1)^{N_f} $ gauge group. The quark numbers of the massless monopole at a nondegenerate singularity of QMS turn out to vanish in all cases. A puzzle related to CP invariant cases is solved. Generalization of our results to $SU(N_c)\times U(1)^{N_f}$ gauge theories is straightforward.

[ { "created": "Wed, 7 Jan 1998 17:12:02 GMT", "version": "v1" } ]

2010-02-03

[ [ "Carlino", "Giuseppe", "" ], [ "Konishi", "Kenichi", "" ], [ "Terao", "Haruhiko", "" ] ]

Physical quark-number charges of dyons are determined, via a formula which generalizes that of Witten for the electric charge, in N=2 supersymmetric theories with $SU(2) \times U(1)^{N_f} $ gauge group. The quark numbers of the massless monopole at a nondegenerate singularity of QMS turn out to vanish in all cases. A puzzle related to CP invariant cases is solved. Generalization of our results to $SU(N_c)\times U(1)^{N_f}$ gauge theories is straightforward.

12.385873

11.17577

12.98831

10.474537

10.724176

10.646516

10.576202

11.124596

10.416771

12.940589

11.73049

11.299278

11.209072

10.774824

10.985004

11.24233

10.937285

10.600843

10.799768

11.047285

11.116912

0804.2121

Antonios Papazoglou

Christos Charmousis (Orsay, LPT) and Antonios Papazoglou (Portsmouth U., ICG)

Self-properties of codimension-2 braneworlds

38 pages, 7 figures, journal version

JHEP 0807:062,2008

10.1088/1126-6708/2008/07/062

LPT08-37

hep-th gr-qc

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

We consider four-dimensional de Sitter, flat and anti de Sitter branes embedded in a six-dimensional bulk spacetime whose dynamics is dictated by Lovelock theory. We find, applying a generalised version of Birkhoff's theorem, that all possible maximally symmetric braneworld solutions are embedded in Wick-rotated black hole spacetimes of Lovelock theory. These are warped solitonic spaces, where the horizons of the black hole geometries correspond to the possible positions of codimension-2 branes. The horizon temperature is related via conical singularities to the tension or vacuum energy of the branes. We classify the braneworld solutions for certain combinations of bulk parameters, according to their induced curvature, their vacuum energy and their effective compactness in the extra dimensions. The bulk Lovelock theory gives an induced gravity term on the brane, which, we argue, generates four-dimensional gravity up to some distance scale. As a result, some simple solutions, such as the Lovelock corrected Schwarzschild black hole in six dimensions, are shown to give rise to self-accelerating braneworlds. We also find that several other solutions have self-tuning properties. Finally, we present regular gravitational instantons of Lovelock gravity and comment on their significance.

[ { "created": "Mon, 14 Apr 2008 09:10:12 GMT", "version": "v1" }, { "created": "Fri, 18 Jul 2008 12:34:28 GMT", "version": "v2" } ]

2009-12-04

[ [ "Charmousis", "Christos", "", "Orsay, LPT" ], [ "Papazoglou", "Antonios", "", "Portsmouth\n U., ICG" ] ]

We consider four-dimensional de Sitter, flat and anti de Sitter branes embedded in a six-dimensional bulk spacetime whose dynamics is dictated by Lovelock theory. We find, applying a generalised version of Birkhoff's theorem, that all possible maximally symmetric braneworld solutions are embedded in Wick-rotated black hole spacetimes of Lovelock theory. These are warped solitonic spaces, where the horizons of the black hole geometries correspond to the possible positions of codimension-2 branes. The horizon temperature is related via conical singularities to the tension or vacuum energy of the branes. We classify the braneworld solutions for certain combinations of bulk parameters, according to their induced curvature, their vacuum energy and their effective compactness in the extra dimensions. The bulk Lovelock theory gives an induced gravity term on the brane, which, we argue, generates four-dimensional gravity up to some distance scale. As a result, some simple solutions, such as the Lovelock corrected Schwarzschild black hole in six dimensions, are shown to give rise to self-accelerating braneworlds. We also find that several other solutions have self-tuning properties. Finally, we present regular gravitational instantons of Lovelock gravity and comment on their significance.

9.316333

9.689721

9.420645

8.99949

8.895433

9.605202

9.267303

9.005867

9.083245

10.197554

9.606669

8.886082

9.050651

8.778965

8.729784

8.731762

8.957501

8.83375

8.85907

9.167697

8.852668

hep-th/0702214

teschner

J. Teschner

On the spectrum of the Sinh-Gordon model in finite volume

33 pages, the new version corrects a mistake in the lattice TBA of the previous versions

Nucl.Phys.B799:403-429,2008

10.1016/j.nuclphysb.2008.01.021

null

hep-th

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

We derive a characterization of the spectrum of the Sinh-Gordon model in terms of certain nonlinear integral equations. There exists a large class of solutions to these equations which allows a continuation between the infrared and the ultraviolet limits, respectively. We present nontrivial evidence for the claim that the class of solutions in question describes the spectrum of the Sinh-Gordon model completely in both of these limits. The evidence includes some nontrivial relations to Liouville theory.

[ { "created": "Tue, 27 Feb 2007 17:34:28 GMT", "version": "v1" }, { "created": "Wed, 28 Feb 2007 17:40:13 GMT", "version": "v2" }, { "created": "Tue, 13 Mar 2007 11:33:21 GMT", "version": "v3" }, { "created": "Thu, 26 Apr 2007 09:52:41 GMT", "version": "v4" }, { "created": "Mon, 21 Jan 2008 15:33:42 GMT", "version": "v5" }, { "created": "Mon, 8 May 2017 16:39:43 GMT", "version": "v6" } ]

2017-05-09

[ [ "Teschner", "J.", "" ] ]

We derive a characterization of the spectrum of the Sinh-Gordon model in terms of certain nonlinear integral equations. There exists a large class of solutions to these equations which allows a continuation between the infrared and the ultraviolet limits, respectively. We present nontrivial evidence for the claim that the class of solutions in question describes the spectrum of the Sinh-Gordon model completely in both of these limits. The evidence includes some nontrivial relations to Liouville theory.

10.427177

9.635294

11.209014

8.6846

9.738613

9.465048

9.158925

9.229019

9.126092

11.178214

8.840141

9.356243

10.53633

9.434482

9.564646

9.6436

9.598819

9.646959

9.399982

10.57837

9.483579

2104.13403

Jean-Luc Lehners

George Lavrelashvili, Jean-Luc Lehners and Marc Schneider

Scalar lumps with a horizon

21 pages, 10 figures, v2: replaced with published version

Phys. Rev. D 104, 044007 (2021)

10.1103/PhysRevD.104.044007

null

hep-th gr-qc

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

We study a self-interacting scalar field theory coupled to gravity and are interested in spherically symmetric solutions with a regular origin surrounded by a horizon. For a scalar potential containing a barrier, and using the most general spherically symmetric ansatz, we show that in addition to the known static, oscillating solutions discussed earlier in the literature there exist new classes of solutions which appear in the strong field case. For these solutions the spatial sphere shrinks either beyond the horizon, implying a collapsing universe outside of the cosmological horizon, or it shrinks already inside of the horizon, implying the existence of a black hole surrounding the scalar lump in all directions. Crucial for the existence of all such solutions is the presence of a scalar field potential with a barrier that satisfies the swampland conjectures.

[ { "created": "Tue, 27 Apr 2021 18:04:15 GMT", "version": "v1" }, { "created": "Wed, 4 Aug 2021 08:50:50 GMT", "version": "v2" } ]

2021-08-11

[ [ "Lavrelashvili", "George", "" ], [ "Lehners", "Jean-Luc", "" ], [ "Schneider", "Marc", "" ] ]

We study a self-interacting scalar field theory coupled to gravity and are interested in spherically symmetric solutions with a regular origin surrounded by a horizon. For a scalar potential containing a barrier, and using the most general spherically symmetric ansatz, we show that in addition to the known static, oscillating solutions discussed earlier in the literature there exist new classes of solutions which appear in the strong field case. For these solutions the spatial sphere shrinks either beyond the horizon, implying a collapsing universe outside of the cosmological horizon, or it shrinks already inside of the horizon, implying the existence of a black hole surrounding the scalar lump in all directions. Crucial for the existence of all such solutions is the presence of a scalar field potential with a barrier that satisfies the swampland conjectures.

10.154576

11.584074

10.679248

10.221663

11.299651

10.876099

11.894724

10.391126

10.578345

10.794396

10.634415

10.470403

9.957205

9.961417

10.017052

10.368769

10.052286

9.841057

10.008945

10.133328

9.879694

hep-th/9810153

M. B. Green

Matthias R. Gaberdiel and Michael B. Green

An SL(2,Z) anomaly in IIB supergravity and its F-theory interpretation

Argument has been streamlined and references have been added. 18 pages, harvmac (b)

JHEP 9811 (1998) 026

10.1088/1126-6708/1998/11/026

DAMTP-98-102

hep-th

null

The SL(2,Z) duality transformations of type IIB supergravity are shown to be anomalous in generic F-theory backgrounds due to the anomalous transformation of the phase of the chiral fermion determinant. The anomaly is partially cancelled provided the ten-dimensional type IIB theory lagrangian contains a term that is a ten-form made out of the composite U(1) field strength and four powers of the curvature. A residual anomaly remains uncancelled, and this implies a certain topological restriction on consistent backgrounds of the euclidean theory. A similar, but slightly stronger, restriction is also derived from an explicit F-theory compactification on K3 x M8 (where M8 is an eight-manifold with a nowhere vanishing chiral spinor) where the cancellation of tadpoles for Ramond--Ramond fields is only possible if M8 has an Euler character that is a positive multiple of 24. The interpretation of this restriction in the dual heterotic theory on T2 x M8 is also given.

[ { "created": "Tue, 20 Oct 1998 20:46:05 GMT", "version": "v1" }, { "created": "Fri, 30 Oct 1998 13:27:27 GMT", "version": "v2" }, { "created": "Tue, 4 May 1999 11:32:18 GMT", "version": "v3" } ]

2009-10-31

[ [ "Gaberdiel", "Matthias R.", "" ], [ "Green", "Michael B.", "" ] ]

The SL(2,Z) duality transformations of type IIB supergravity are shown to be anomalous in generic F-theory backgrounds due to the anomalous transformation of the phase of the chiral fermion determinant. The anomaly is partially cancelled provided the ten-dimensional type IIB theory lagrangian contains a term that is a ten-form made out of the composite U(1) field strength and four powers of the curvature. A residual anomaly remains uncancelled, and this implies a certain topological restriction on consistent backgrounds of the euclidean theory. A similar, but slightly stronger, restriction is also derived from an explicit F-theory compactification on K3 x M8 (where M8 is an eight-manifold with a nowhere vanishing chiral spinor) where the cancellation of tadpoles for Ramond--Ramond fields is only possible if M8 has an Euler character that is a positive multiple of 24. The interpretation of this restriction in the dual heterotic theory on T2 x M8 is also given.

9.996415

9.451355

11.306652

9.109082

9.552369

9.012756

9.908601

9.369153

8.891707

11.655777

8.777033

8.781822

9.405769

8.906953

8.97425

8.581771

8.957416

9.052056

9.194108

9.6025

8.795486

hep-th/0402196

Tadashi Takayanagi

Notes on D-branes in 2D Type 0 String Theory

harvmac, 18 pages, 2 figures, references added

JHEP 0405:063,2004

10.1088/1126-6708/2004/05/063

HUTP-04/A010

hep-th

null

In this paper we construct complete macroscopic operators in two dimensional type 0 string theory. They represent D-branes localized in the time direction. We give another equivalent description of them as deformed Fermi surfaces. We also discuss a continuous array of such D-branes and show that it can be described by a matrix model with a deformed potential. For appropriate values of parameters, we find that it has an additional new sector hidden inside its strongly coupled region.

[ { "created": "Wed, 25 Feb 2004 15:04:37 GMT", "version": "v1" }, { "created": "Fri, 12 Mar 2004 21:30:40 GMT", "version": "v2" } ]

2010-02-03

[ [ "Takayanagi", "Tadashi", "" ] ]

In this paper we construct complete macroscopic operators in two dimensional type 0 string theory. They represent D-branes localized in the time direction. We give another equivalent description of them as deformed Fermi surfaces. We also discuss a continuous array of such D-branes and show that it can be described by a matrix model with a deformed potential. For appropriate values of parameters, we find that it has an additional new sector hidden inside its strongly coupled region.

17.981508

12.141641

19.195108

12.186556

12.301648

12.190705

12.93512

12.364609

12.402113

19.199308

12.884171

12.504587

15.603361

13.570509

12.796781

12.689167

13.038352

13.209817

12.881302

16.717663

12.795249

hep-th/0001103

S. Prem Kumar

Nick Dorey and S. Prem Kumar

Softly-Broken {\cal N} = 4 Supersymmetry in the Large-N Limit

18 pages, LaTeX, modified discussion on the gluino condensate

JHEP 0002:006,2000

10.1088/1126-6708/2000/02/006

SWAT-249, UW/PT 00-02

hep-th

null

We calculate the exact values of the holomorphic observables of {\cal N}=4 supersymmetric SU(N) Yang-Mills theory deformed by mass terms which preserve {\cal N}=1 SUSY. These include the chiral condensates in each massive vacuum of the theory as well as the central charge which determines the tension of BPS saturated domain walls interpolating between these vacua. Several unexpected features emerge in the large-N limit, including anomalous modular properties under an SL(2,Z) duality group which acts on a complexification of the 't Hooft coupling \lambda=g^{2}N/4\pi. We discuss our results in the context of the AdS/CFT correspondence.

[ { "created": "Mon, 17 Jan 2000 23:25:19 GMT", "version": "v1" }, { "created": "Tue, 18 Jan 2000 23:47:43 GMT", "version": "v2" } ]

2011-04-15

[ [ "Dorey", "Nick", "" ], [ "Kumar", "S. Prem", "" ] ]

We calculate the exact values of the holomorphic observables of {\cal N}=4 supersymmetric SU(N) Yang-Mills theory deformed by mass terms which preserve {\cal N}=1 SUSY. These include the chiral condensates in each massive vacuum of the theory as well as the central charge which determines the tension of BPS saturated domain walls interpolating between these vacua. Several unexpected features emerge in the large-N limit, including anomalous modular properties under an SL(2,Z) duality group which acts on a complexification of the 't Hooft coupling \lambda=g^{2}N/4\pi. We discuss our results in the context of the AdS/CFT correspondence.

6.743047

6.806687

8.114379

6.289997

6.50657

6.453018

6.368042

6.247886

6.345284

8.560169

5.97654

6.316807

6.777171

6.212204

6.393594

6.404032

6.300427

6.414581

6.476652

6.788407

6.248132

hep-th/0504033

Spyros Avramis

Spyros D. Avramis, Alex Kehagias, S. Randjbar-Daemi

A New Anomaly-Free Gauged Supergravity in Six Dimensions

9 pages, RevTeX4

JHEP 0505 (2005) 057

10.1088/1126-6708/2005/05/057

null

hep-th

null

We present a new anomaly-free gauged N=1 supergravity model in six dimensions. The gauge group is E_7xG_2xU(1)_R, with all hyperinos transforming in the product representation {56,14). The theory admits monopole compactifications to R^4xS^2, leading to D=4 effective theories with broken supersymmetry and massless fermions.

[ { "created": "Mon, 4 Apr 2005 20:00:27 GMT", "version": "v1" }, { "created": "Fri, 8 Apr 2005 12:02:51 GMT", "version": "v2" } ]

2009-11-11

[ [ "Avramis", "Spyros D.", "" ], [ "Kehagias", "Alex", "" ], [ "Randjbar-Daemi", "S.", "" ] ]

We present a new anomaly-free gauged N=1 supergravity model in six dimensions. The gauge group is E_7xG_2xU(1)_R, with all hyperinos transforming in the product representation {56,14). The theory admits monopole compactifications to R^4xS^2, leading to D=4 effective theories with broken supersymmetry and massless fermions.

10.278336

11.049862

12.53008

10.848737

10.205159

10.728982

11.616954

10.499763

11.015498

11.739988

10.301287

9.89376

10.371276

10.001359

9.368782

10.241848

9.747133

9.71045

9.716509

10.251251

8.915351

hep-th/9303117

null

Franco Ferrari

On the Quantization of the Chern-Simons Fields Theory on Curved Space-Times: the Coulomb Gauge Approach

15 pp., Preprint LMU-TPW 93-5, (Plain TeX + Harvmac)

Phys.Rev. D50 (1994) 7578-7583

10.1103/PhysRevD.50.7578

null

hep-th

null

We consider here the Chern-Simons field theory with gauge group SU(N) in the presence of a gravitational background that describes a two-dimensional expanding ``universe". Two special cases are treated here in detail: the spatially flat {\it Robertson-Walker} space-time and the conformally static space-times having a general closed and orientable Riemann surface as spatial section. The propagator and the vertices are explicitely computed at the lowest order in perturbation theory imposing the Coulomb gauge fixing.

[ { "created": "Fri, 19 Mar 1993 20:45:33 GMT", "version": "v1" } ]

2009-10-22

[ [ "Ferrari", "Franco", "" ] ]

We consider here the Chern-Simons field theory with gauge group SU(N) in the presence of a gravitational background that describes a two-dimensional expanding ``universe". Two special cases are treated here in detail: the spatially flat {\it Robertson-Walker} space-time and the conformally static space-times having a general closed and orientable Riemann surface as spatial section. The propagator and the vertices are explicitely computed at the lowest order in perturbation theory imposing the Coulomb gauge fixing.

12.237902

12.290701

12.073063

10.286612

10.84418

11.175124

10.438936

11.452299

10.443928

12.616622

10.441216

11.685073

12.168366

11.109665

12.567344

11.64605

11.879069

11.492088

11.739977

11.920025

11.364485

hep-th/0702016

Sabine Hossenfelder

S. Hossenfelder

Multi-Particle States in Deformed Special Relativity

replaced with published version

Phys.Rev.D75:105005,2007

10.1103/PhysRevD.75.105005

null

hep-th gr-qc

null

We investigate the properties of multi-particle states in Deformed Special Relativity (DSR). Starting from the Lagrangian formalism with an energy dependent metric, the conserved Noether current can be derived which is additive in the usual way. The integrated Noether current had previously been discarded as a conserved quantity, because it was correctly realized that it does no longer obey the DSR transformations. We identify the reason for this mismatch in the fact that DSR depends only on the extensive quantity of total four-momentum instead of the energy-momentum densities as would be appropriate for a field theory. We argue that the reason for the failure of DSR to reproduce the standard transformation behavior in the well established limits is due to the missing sensitivity to the volume inside which energy is accumulated. We show that the soccer-ball problem is absent if one formulates DSR instead for the field densities. As a consequence, estimates for predicted effects have to be corrected by many orders of magnitude. Further, we derive that the modified quantum field theory implies a locality bound.

[ { "created": "Fri, 2 Feb 2007 01:46:43 GMT", "version": "v1" }, { "created": "Thu, 10 May 2007 14:46:04 GMT", "version": "v2" } ]

2008-11-26

[ [ "Hossenfelder", "S.", "" ] ]

We investigate the properties of multi-particle states in Deformed Special Relativity (DSR). Starting from the Lagrangian formalism with an energy dependent metric, the conserved Noether current can be derived which is additive in the usual way. The integrated Noether current had previously been discarded as a conserved quantity, because it was correctly realized that it does no longer obey the DSR transformations. We identify the reason for this mismatch in the fact that DSR depends only on the extensive quantity of total four-momentum instead of the energy-momentum densities as would be appropriate for a field theory. We argue that the reason for the failure of DSR to reproduce the standard transformation behavior in the well established limits is due to the missing sensitivity to the volume inside which energy is accumulated. We show that the soccer-ball problem is absent if one formulates DSR instead for the field densities. As a consequence, estimates for predicted effects have to be corrected by many orders of magnitude. Further, we derive that the modified quantum field theory implies a locality bound.

13.17744

15.482599

14.52416

13.085667

14.139294

13.055472

14.878587

13.065035

13.430792

14.238711

13.192242

12.837056

13.148126

12.512515

12.953556

13.053932

12.93331

12.938543

12.934319

13.473791

12.608932

2110.13898

Yoshinori Matsuo

Entanglement entropy and vacuum states in Schwarzschild geometry

31 pages, 1 figure; v2: 33 pages, minor corrections, references added

null

10.1007/JHEP06(2022)109

KUNS-2898

hep-th

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

Recently, it was proposed that there must be either large violation of the additivity conjecture or a set of disentangled states of the black hole in the AdS/CFT correspondence. In this paper, we study the additivity conjecture for quantum states of fields around the Schwarzschild black hole. In the eternal Schwarzschild spacetime, the entanglement entropy of the Hawking radiation is calculated assuming that the vacuum state is the Hartle-Hawking vacuum. In the additivity conjecture, we need to consider the state which gives minimal output entropy of a quantum channel. The Hartle-Hawking vacuum state does not give the minimal output entropy which is consistent with the additivity conjecture. We study the entanglement entropy in other static vacua and show that it is consistent with the additivity conjecture.

[ { "created": "Tue, 26 Oct 2021 17:51:57 GMT", "version": "v1" }, { "created": "Fri, 28 Jan 2022 15:52:35 GMT", "version": "v2" } ]

2022-07-06

[ [ "Matsuo", "Yoshinori", "" ] ]

Recently, it was proposed that there must be either large violation of the additivity conjecture or a set of disentangled states of the black hole in the AdS/CFT correspondence. In this paper, we study the additivity conjecture for quantum states of fields around the Schwarzschild black hole. In the eternal Schwarzschild spacetime, the entanglement entropy of the Hawking radiation is calculated assuming that the vacuum state is the Hartle-Hawking vacuum. In the additivity conjecture, we need to consider the state which gives minimal output entropy of a quantum channel. The Hartle-Hawking vacuum state does not give the minimal output entropy which is consistent with the additivity conjecture. We study the entanglement entropy in other static vacua and show that it is consistent with the additivity conjecture.

6.164405

6.121657

6.038366

5.733492

5.793585

5.955691

5.95724

5.784687

5.661722

5.970511

5.961816

5.757079

5.759774

5.791173

6.065179

6.093902

5.948039

5.912829

5.797272

5.920052

5.944161

2210.13910

Riccardo Martini

Riccardo Martini, Gian Paolo Vacca, Omar Zanusso

Perturbative approaches to non-perturbative quantum gravity

45 pages, Invited chapter for the "Handbook of Quantum Gravity" (Eds. C. Bambi, L. Modesto and I.L. Shapiro, Springer Singapore, expected in 2023)

null

hep-th gr-qc

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

We discuss the birth of the non-perturbative approach to quantum gravity known as quantum Einstein gravity, in which the gravitational interactions are conjectured to be asymptotically safe. The interactions are assumed to be finite and consistent at high energies thanks to a scale-invariant ultraviolet completion. We present the framework on the basis of perturbative arguments that originally motivated it, paying special attention to the $\epsilon$-expansion in $d=2+\epsilon$ dimensions and the large-$N$ expansion for $N$ the number of flavors of matter fields. The chapter is organized in such a way that each section is mostly independent and can offer several ideas for both conceptual and technical future developments.

[ { "created": "Tue, 25 Oct 2022 10:59:17 GMT", "version": "v1" } ]

2022-10-26

[ [ "Martini", "Riccardo", "" ], [ "Vacca", "Gian Paolo", "" ], [ "Zanusso", "Omar", "" ] ]

We discuss the birth of the non-perturbative approach to quantum gravity known as quantum Einstein gravity, in which the gravitational interactions are conjectured to be asymptotically safe. The interactions are assumed to be finite and consistent at high energies thanks to a scale-invariant ultraviolet completion. We present the framework on the basis of perturbative arguments that originally motivated it, paying special attention to the $\epsilon$-expansion in $d=2+\epsilon$ dimensions and the large-$N$ expansion for $N$ the number of flavors of matter fields. The chapter is organized in such a way that each section is mostly independent and can offer several ideas for both conceptual and technical future developments.

10.439111

10.617596

10.145164

10.128639

9.882738

11.235901

10.97369

10.319546

10.232246

11.667365

10.460225

10.352012

10.426032

9.923361

10.176693

10.445908

10.207728

10.206172

9.67002

9.760173

10.151764

1805.10015

Julien Serreau

Jan Maelger, Urko Reinosa, Julien Serreau

Universal aspects of the phase diagram of QCD with heavy quarks

4 pages, 1 figure ; published version

Phys. Rev. D 98, 094020 (2018)

10.1103/PhysRevD.98.094020

null

hep-th hep-ph nucl-th

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

The flavor dependence of the QCD phase diagram presents universal properties in the heavy quark limit. For the wide class of models where the quarks are treated at the one-loop level, we show, for arbitrary chemical potential, that the flavor dependence of the critical quark masses-for which the confinement-deconfinement transition is second order-is insensitive to the details of the (confining) gluon dynamics and that the critical temperature is constant along the corresponding critical line. We illustrate this with explicit results in various such one-loop models studied in the literature: effective matrix models for the Polyakov loop, the Curci-Ferrari model, and a recently proposed Gribov-Zwanziger-type model. We further observe that the predictions which follow from this one-loop universality property are well satisfied by different calculations beyond one-loop order, including lattice simulations. For degenerate quarks, we propose a simple universal law for the flavor dependence of the critical mass, satisfied by all approaches.

[ { "created": "Fri, 25 May 2018 07:40:47 GMT", "version": "v1" }, { "created": "Mon, 10 Dec 2018 15:08:33 GMT", "version": "v2" } ]

2018-12-11

[ [ "Maelger", "Jan", "" ], [ "Reinosa", "Urko", "" ], [ "Serreau", "Julien", "" ] ]

The flavor dependence of the QCD phase diagram presents universal properties in the heavy quark limit. For the wide class of models where the quarks are treated at the one-loop level, we show, for arbitrary chemical potential, that the flavor dependence of the critical quark masses-for which the confinement-deconfinement transition is second order-is insensitive to the details of the (confining) gluon dynamics and that the critical temperature is constant along the corresponding critical line. We illustrate this with explicit results in various such one-loop models studied in the literature: effective matrix models for the Polyakov loop, the Curci-Ferrari model, and a recently proposed Gribov-Zwanziger-type model. We further observe that the predictions which follow from this one-loop universality property are well satisfied by different calculations beyond one-loop order, including lattice simulations. For degenerate quarks, we propose a simple universal law for the flavor dependence of the critical mass, satisfied by all approaches.

10.125411

10.756641

10.433213

9.957495

11.086227

10.991205

10.435308

10.205882

9.502111

9.952192

9.496363

9.534629

9.673411

9.644269

9.954511

9.801991

9.605994

9.745082

9.882986

9.60788

9.440437

hep-th/9909171

Boris Pioline

C. Bachas (ENS) and B. Pioline (Ecole Polytechnique)

High Energy Scattering on Distant Branes

JHEP class, 18 pages, 8 figures

JHEP 9912 (1999) 004

10.1088/1126-6708/1999/12/004

CPTH-S726.0799, LPTENS-99/26

hep-th hep-ph

null

We consider the elastic scattering of two open strings living on two D-branes separated by a distance $r$. We compute the high-energy behavior of the amplitude, to leading order in string coupling, as a function of the scattering angle $\phi$ and of the dimensionless parameter $v= r/(\pi\alpha^\prime\sqrt{s})$ with $\sqrt{s}$ the center-of-mass energy. The result exhibits an interesting phase diagram in the $(v,\phi)$ plane, with a transition at the production threshold for stretched strings at $v=1$. We also discuss some more general features of the open-string semiclassical world-sheets, and use T-duality to give a quantum tunneling interpretation of the exponential suppression at high-energy.

[ { "created": "Thu, 23 Sep 1999 16:27:55 GMT", "version": "v1" } ]

2009-10-31

[ [ "Bachas", "C.", "", "ENS" ], [ "Pioline", "B.", "", "Ecole Polytechnique" ] ]

We consider the elastic scattering of two open strings living on two D-branes separated by a distance $r$. We compute the high-energy behavior of the amplitude, to leading order in string coupling, as a function of the scattering angle $\phi$ and of the dimensionless parameter $v= r/(\pi\alpha^\prime\sqrt{s})$ with $\sqrt{s}$ the center-of-mass energy. The result exhibits an interesting phase diagram in the $(v,\phi)$ plane, with a transition at the production threshold for stretched strings at $v=1$. We also discuss some more general features of the open-string semiclassical world-sheets, and use T-duality to give a quantum tunneling interpretation of the exponential suppression at high-energy.

7.997921

7.558379

7.95495

7.765523

7.438164

7.491165

7.62703

7.397124

7.25418

9.235966

7.348679

7.314933

7.949313

7.322774

7.295569

7.26651

7.414281

7.333397

7.222972

7.711972

7.27019

1605.05483

Josep M. Pons

Biel Cardona, Joaquim Gomis and Josep M Pons

Dynamics of Carroll Strings

Footnote and references added

null

10.1007/JHEP07(2016)050

ICCUB-16-018

hep-th

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

We construct the canonical action of a Carroll string doing the Carroll limit of a canonical relativistic string. We also study the Killing symmetries of the Carroll string, which close under an infinite dimensional algebra. The tensionless limit and the Carroll $p$-brane action are also discussed.

[ { "created": "Wed, 18 May 2016 09:00:10 GMT", "version": "v1" }, { "created": "Mon, 30 May 2016 14:31:03 GMT", "version": "v2" } ]

2016-08-03

[ [ "Cardona", "Biel", "" ], [ "Gomis", "Joaquim", "" ], [ "Pons", "Josep M", "" ] ]

We construct the canonical action of a Carroll string doing the Carroll limit of a canonical relativistic string. We also study the Killing symmetries of the Carroll string, which close under an infinite dimensional algebra. The tensionless limit and the Carroll $p$-brane action are also discussed.

15.73411

12.548583

17.084623

12.380195

11.645775

11.659363

13.287972

13.163168

12.056546

19.394619

14.28984

12.820197

14.28365

12.904942

12.587375

13.244634

13.620066

12.757702

12.13755

14.685654

13.353431

hep-th/0307148

Fuchs Ehud

Ehud Fuchs, Michael Kroyter, Alon Marcus

Continuous Half-String Representation of String Field Theory

29 pages, latex. v2: New calculation of the VSFT tachyon mass added to section 4.3, numerical integrals evaluated analytically, typos corrected, ref added

JHEP 0311 (2003) 039

10.1088/1126-6708/2003/11/039

TAUP-2715-02

hep-th

null

We give the explicit form of the half-string representation in the continuous kappa basis. We show the comma structure of the three-vertex, when expanded around an arbitrary projector, and that the zero-mode must be replaced by the mid-point degree of freedom in the half-string representation. The treatment of the ghost sector enables us to calculate the normalization of the vertices. The simplicity of this formalism is demonstrated with some applications, such as gauge transformations and identification of subalgebras.

[ { "created": "Wed, 16 Jul 2003 15:13:31 GMT", "version": "v1" }, { "created": "Wed, 26 Nov 2003 15:07:20 GMT", "version": "v2" } ]

2007-05-23

[ [ "Fuchs", "Ehud", "" ], [ "Kroyter", "Michael", "" ], [ "Marcus", "Alon", "" ] ]

We give the explicit form of the half-string representation in the continuous kappa basis. We show the comma structure of the three-vertex, when expanded around an arbitrary projector, and that the zero-mode must be replaced by the mid-point degree of freedom in the half-string representation. The treatment of the ghost sector enables us to calculate the normalization of the vertices. The simplicity of this formalism is demonstrated with some applications, such as gauge transformations and identification of subalgebras.

24.490057

20.115105

24.217566

20.488111

22.473608

21.409866

21.346445

19.839512

20.28903

24.3459

19.702919

19.622259

22.282825

19.953278

20.439766

20.252253

19.072395

20.163496

20.098845

23.559031

19.900455

hep-th/0310095

H. M. Fried

Possibilities of a QED-Based Vacuum Energy

20 pages, 1 table

Int.J.Mod.Phys.A19:5515-5520,2004

10.1142/S0217751X04022773

Brown-HET-1377

hep-th

null

A QED-based bootstrap mechanism, appearing at sufficiently small space-time scales, is suggested as an explanation for the "dark" vacuum energy that may be able to accelerate the universe. Very small-scale vacuum currents are allowed to generate small-scale electromagnetic fields, which become significant near the light cone. The resulting lepton-pair production, some of which may be tachyonic, has ramifications for the convergence of all QED perturbative processes, as well as providing possible mechanisms for "dark" matter, galactic gamma-ray bursts, and ultra-high-energy cosmic rays.

[ { "created": "Thu, 9 Oct 2003 15:02:29 GMT", "version": "v1" } ]

2011-04-11

[ [ "Fried", "H. M.", "" ] ]

A QED-based bootstrap mechanism, appearing at sufficiently small space-time scales, is suggested as an explanation for the "dark" vacuum energy that may be able to accelerate the universe. Very small-scale vacuum currents are allowed to generate small-scale electromagnetic fields, which become significant near the light cone. The resulting lepton-pair production, some of which may be tachyonic, has ramifications for the convergence of all QED perturbative processes, as well as providing possible mechanisms for "dark" matter, galactic gamma-ray bursts, and ultra-high-energy cosmic rays.

16.238268

14.499276

13.878175

13.753893

14.105949

14.577798

13.162045

14.86349

12.625237

14.511933

14.35205

14.067317

13.907947

13.970316

13.933808

14.064194

13.83882

14.076127

14.347958

13.688279

14.053586

hep-th/0506135

Minoru Eto

Minoru Eto, Youichi Isozumi, Muneto Nitta, Keisuke Ohashi, Norisuke Sakai

Webs of Walls

39 pages, 19 figures, a minor change, a reference added

Phys.Rev. D72 (2005) 085004

10.1103/PhysRevD.72.085004

TIT/HEP-538

hep-th astro-ph nlin.PS

null

Webs of domain walls are constructed as 1/4 BPS states in d=4, N=2 supersymmetric U(Nc) gauge theories with Nf hypermultiplets in the fundamental representation. Web of walls can contain any numbers of external legs and loops like (p,q) string/5-brane webs. We find the moduli space M of a 1/4 BPS equation for wall webs to be the complex Grassmann manifold. When moduli spaces of 1/2 BPS states (parallel walls) and the vacua are removed from M, the non-compact moduli space of genuine 1/4 BPS wall webs is obtained. All the solutions are obtained explicitly and exactly in the strong gauge coupling limit. In the case of Abelian gauge theory, we work out the correspondence between configurations of wall web and the moduli space CP^{Nf-1}.

[ { "created": "Thu, 16 Jun 2005 11:52:27 GMT", "version": "v1" }, { "created": "Mon, 20 Jun 2005 10:57:17 GMT", "version": "v2" } ]

2007-05-23

[ [ "Eto", "Minoru", "" ], [ "Isozumi", "Youichi", "" ], [ "Nitta", "Muneto", "" ], [ "Ohashi", "Keisuke", "" ], [ "Sakai", "Norisuke", "" ] ]

Webs of domain walls are constructed as 1/4 BPS states in d=4, N=2 supersymmetric U(Nc) gauge theories with Nf hypermultiplets in the fundamental representation. Web of walls can contain any numbers of external legs and loops like (p,q) string/5-brane webs. We find the moduli space M of a 1/4 BPS equation for wall webs to be the complex Grassmann manifold. When moduli spaces of 1/2 BPS states (parallel walls) and the vacua are removed from M, the non-compact moduli space of genuine 1/4 BPS wall webs is obtained. All the solutions are obtained explicitly and exactly in the strong gauge coupling limit. In the case of Abelian gauge theory, we work out the correspondence between configurations of wall web and the moduli space CP^{Nf-1}.

8.433456

7.372545

10.454393

7.52648

7.959554

7.826128

7.708632

7.541757

7.478561

9.812374

7.757394

7.674316

8.301401

7.834741

7.941615

7.833162

7.752977

7.647425

7.938737

8.115536

7.389338

1401.5773

Stanislaw Mrowczynski

Alina Czajka and Stanislaw Mrowczynski

Ghosts in Keldysh-Schwinger Formalism

14 pages, 2 figures, minor changes, to appear in Phys. Rev. D

Phys. Rev. D 89, 085035 (2014)

10.1103/PhysRevD.89.085035

null

hep-th hep-ph nucl-th

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

We discuss how to introduce Faddeev-Popov ghosts to the Keldysh-Schwinger formalism describing equilibrium and non-equilibrium statistical systems of quantum fields such as the quark-gluon plasma which is considered. The plasma is assumed to be homogeneous in a coordinate space but the momentum distribution of plasma constituents is arbitrary. Using the technique of generating functional, we derive the Slavnov-Taylor identities and one of them expresses the ghost Green's function, which we look for, through the gluon one. As an application, the Green's function of ghosts is used to compute the gluon polarization tensor in the hard loop approximation which appears to be automatically transverse, as required by the gauge invariance.

[ { "created": "Wed, 22 Jan 2014 20:08:59 GMT", "version": "v1" }, { "created": "Thu, 13 Feb 2014 16:03:40 GMT", "version": "v2" }, { "created": "Fri, 14 Mar 2014 13:44:33 GMT", "version": "v3" } ]

2014-04-30

[ [ "Czajka", "Alina", "" ], [ "Mrowczynski", "Stanislaw", "" ] ]

We discuss how to introduce Faddeev-Popov ghosts to the Keldysh-Schwinger formalism describing equilibrium and non-equilibrium statistical systems of quantum fields such as the quark-gluon plasma which is considered. The plasma is assumed to be homogeneous in a coordinate space but the momentum distribution of plasma constituents is arbitrary. Using the technique of generating functional, we derive the Slavnov-Taylor identities and one of them expresses the ghost Green's function, which we look for, through the gluon one. As an application, the Green's function of ghosts is used to compute the gluon polarization tensor in the hard loop approximation which appears to be automatically transverse, as required by the gauge invariance.

8.461895

9.000726

7.789531

7.761904

9.361278

8.324219

8.623945

7.947424

7.675486

7.972136

7.959437

8.024844

7.709283

7.787406

8.020651

8.075758

8.404573

8.248329

7.690752

7.610052

7.985696

hep-th/0010085

Cyril Cartier

Relic gravitons from non-singular string cosmologies

Contribution to CAPP2000, Verbier (Switzerland),July 2000. To appear in the Proceedings (American Institute of Physics publication)

null

10.1063/1.1363572

null

hep-th

null

In the context of the pre-Big Bang scenario of string cosmology, we propose a modified equation for the evolution of the tensor perturbations, which includes the full contribution of possible higher-order curvature and coupling corrections required to regularise the background evolution. We then discuss the high-frequency branch of the spectrum of primordial gravitons.

[ { "created": "Wed, 11 Oct 2000 16:04:25 GMT", "version": "v1" } ]

2009-10-31

[ [ "Cartier", "Cyril", "" ] ]

In the context of the pre-Big Bang scenario of string cosmology, we propose a modified equation for the evolution of the tensor perturbations, which includes the full contribution of possible higher-order curvature and coupling corrections required to regularise the background evolution. We then discuss the high-frequency branch of the spectrum of primordial gravitons.

13.944344

11.713209

9.953573

10.119827

9.947768

9.693315

12.300238

10.608982

11.871068

10.610072

10.09475

11.012505

10.183678

9.920224

10.245974

10.167787

10.287878

9.927916

9.94768

9.977102

10.297919

1506.05838

M. B. Paranjape

Mareike Haberichter, Richard MacKenzie, M. B. Paranjape and Yvan Ung

Tunneling decay of false domain walls: the silence of the lambs

20 pages, 9 figures

null

10.1063/1.4947263

UdeM-GPP-TH-15-242, DAMTP-2015-30

hep-th gr-qc hep-ph

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

We study the decay of "false" domain walls, which are metastable states of the quantum theory where the true vacuum is trapped inside the wall, with the false vacuum outside. We consider a theory with two scalar fields, a shepherd field and a field of sheep. The shepherd field serves to herd the solitons of the sheep field so that they are nicely bunched together. However, quantum tunnelling of the shepherd field releases the sheep to spread out uncontrollably. We show how to calculate the tunnelling amplitude for such a disintegration.

[ { "created": "Thu, 18 Jun 2015 22:34:54 GMT", "version": "v1" } ]

2016-05-25

[ [ "Haberichter", "Mareike", "" ], [ "MacKenzie", "Richard", "" ], [ "Paranjape", "M. B.", "" ], [ "Ung", "Yvan", "" ] ]

We study the decay of "false" domain walls, which are metastable states of the quantum theory where the true vacuum is trapped inside the wall, with the false vacuum outside. We consider a theory with two scalar fields, a shepherd field and a field of sheep. The shepherd field serves to herd the solitons of the sheep field so that they are nicely bunched together. However, quantum tunnelling of the shepherd field releases the sheep to spread out uncontrollably. We show how to calculate the tunnelling amplitude for such a disintegration.

10.709482

10.999517

10.003222

10.02881

10.905263

12.425965

10.10836

9.270698

9.497783

11.023409

9.516431

10.051919

10.504959

9.974545

9.846474

9.785516

8.958076

9.731494

10.203449

10.165285

9.562443

1009.5985

Slava Rychkov

Riccardo Rattazzi, Slava Rychkov, Alessandro Vichi

Bounds in 4D Conformal Field Theories with Global Symmetry

30 pages

J.Phys.A44:035402,2011

10.1088/1751-8113/44/3/035402

LPTENS-10/39

hep-th hep-lat hep-ph

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

We explore the constraining power of OPE associativity in 4D Conformal Field Theory with a continuous global symmetry group. We give a general analysis of crossing symmetry constraints in the 4-point function <Phi Phi Phi* Phi*>, where Phi is a primary scalar operator in a given representation R. These constraints take the form of 'vectorial sum rules' for conformal blocks of operators whose representations appear in R x R and R x Rbar. The coefficients in these sum rules are related to the Fierz transformation matrices for the R x R x Rbar x Rbar invariant tensors. We show that the number of equations is always equal to the number of symmetry channels to be constrained. We also analyze in detail two cases - the fundamental of SO(N) and the fundamental of SU(N). We derive the vectorial sum rules explicitly, and use them to study the dimension of the lowest singlet scalar in the Phi x Phi* OPE. We prove the existence of an upper bound on the dimension of this scalar. The bound depends on the conformal dimension of Phi and approaches 2 in the limit dim(Phi)-->1. For several small groups, we compute the behavior of the bound at dim(Phi)>1. We discuss implications of our bound for the Conformal Technicolor scenario of electroweak symmetry breaking.

[ { "created": "Wed, 29 Sep 2010 19:57:35 GMT", "version": "v1" } ]

2010-12-17

[ [ "Rattazzi", "Riccardo", "" ], [ "Rychkov", "Slava", "" ], [ "Vichi", "Alessandro", "" ] ]

We explore the constraining power of OPE associativity in 4D Conformal Field Theory with a continuous global symmetry group. We give a general analysis of crossing symmetry constraints in the 4-point function <Phi Phi Phi* Phi*>, where Phi is a primary scalar operator in a given representation R. These constraints take the form of 'vectorial sum rules' for conformal blocks of operators whose representations appear in R x R and R x Rbar. The coefficients in these sum rules are related to the Fierz transformation matrices for the R x R x Rbar x Rbar invariant tensors. We show that the number of equations is always equal to the number of symmetry channels to be constrained. We also analyze in detail two cases - the fundamental of SO(N) and the fundamental of SU(N). We derive the vectorial sum rules explicitly, and use them to study the dimension of the lowest singlet scalar in the Phi x Phi* OPE. We prove the existence of an upper bound on the dimension of this scalar. The bound depends on the conformal dimension of Phi and approaches 2 in the limit dim(Phi)-->1. For several small groups, we compute the behavior of the bound at dim(Phi)>1. We discuss implications of our bound for the Conformal Technicolor scenario of electroweak symmetry breaking.

7.504408

8.503267

8.358853

7.191649

8.475403

8.02423

8.138408

8.14333

7.415943

8.67964

7.584161

7.622512

7.595925

7.283349

7.324999

7.615464

7.585027

7.235351

7.53101

7.366108

7.336302

1407.4757

Roberto Maluf

R. V. Maluf, J. E. G. Silva, W. T. Cruz, C. A. S. Almeida

Dirac equation in very special relativity for hydrogen atom

Revtex style, 13 pages, 1 table, references added, improved text, published in PLB

Phys. Lett. B 738, 341-345 (2014)

10.1016/j.physletb.2014.09.059

null

hep-th

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

In this work, we study the modified Dirac equation in the framework of very special relativity (VSR). The low-energy regime is accessed and the nonrelativistic Hamiltonian is obtained. It turns out that this Hamiltonian is similar to that achieved from the Standard Model Extension (SME) via coupling of the spinor field to a Lorentz-violating term, but new features arise inherited from the non-local character of the VSR. In addition, the implications of the VSR-modified Lorentz symmetry on the spectrum of a hydrogen atom are determined by calculating the first-order energy corrections in the context of standard quantum mechanics. Among the results, we highlight that the modified Hamiltonian provides non-vanishing corrections which lift the degeneracy of the energy levels and allow us to find an upper bound upon the VSR-parameter.

[ { "created": "Thu, 17 Jul 2014 17:58:05 GMT", "version": "v1" }, { "created": "Mon, 20 Oct 2014 20:43:21 GMT", "version": "v2" } ]

2014-10-22

[ [ "Maluf", "R. V.", "" ], [ "Silva", "J. E. G.", "" ], [ "Cruz", "W. T.", "" ], [ "Almeida", "C. A. S.", "" ] ]

In this work, we study the modified Dirac equation in the framework of very special relativity (VSR). The low-energy regime is accessed and the nonrelativistic Hamiltonian is obtained. It turns out that this Hamiltonian is similar to that achieved from the Standard Model Extension (SME) via coupling of the spinor field to a Lorentz-violating term, but new features arise inherited from the non-local character of the VSR. In addition, the implications of the VSR-modified Lorentz symmetry on the spectrum of a hydrogen atom are determined by calculating the first-order energy corrections in the context of standard quantum mechanics. Among the results, we highlight that the modified Hamiltonian provides non-vanishing corrections which lift the degeneracy of the energy levels and allow us to find an upper bound upon the VSR-parameter.

7.945614

7.268953

7.797959

7.535386

7.762972

7.478379

7.394415

7.171256

7.655056

8.108392

7.694668

7.334702

7.472626

7.286583

7.542172

7.328351

7.340843

7.291661

7.440044

7.67109

7.404277

1506.07176

Jerome P. Gauntlett

Elliot Banks and Jerome P. Gauntlett

A new phase for the anisotropic N=4 super Yang-Mills plasma

26 pages, 5 figure. Minor changes; version published in JHEP

null

10.1007/JHEP09(2015)126

Imperial/TP/2015/JG/02

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

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

Black hole solutions of type IIB supergravity have been previously constructed that describe the N=4 supersymmetric Yang-Mills plasma with an anisotropic spatial deformation. The zero temperature limit of these black holes approach a Lifshitz-like scaling solution in the infrared. We show that these black holes become unstable at low temperature and we construct a new class of black hole solutions which are thermodynamically preferred. The phase transition is third order and incorporates a spontaneous breaking of the $SO(6)$ global symmetry down to $SO(4)\times SO(2)$. The critical exponents for the phase transition are given by $(\alpha,\beta,\gamma,\delta)=(-1,1,1,2)$ which differ from the standard mean-field exponents usually seen in holography. At low temperatures the black holes approach a novel kind of scaling behaviour in the far IR with spatial anisotropy and hyperscaling violation. We show that the new ground states are thermal insulators in the direction of the anisotropy.

[ { "created": "Tue, 23 Jun 2015 20:00:52 GMT", "version": "v1" }, { "created": "Wed, 26 Aug 2015 10:32:48 GMT", "version": "v2" } ]

2015-10-28

[ [ "Banks", "Elliot", "" ], [ "Gauntlett", "Jerome P.", "" ] ]

Black hole solutions of type IIB supergravity have been previously constructed that describe the N=4 supersymmetric Yang-Mills plasma with an anisotropic spatial deformation. The zero temperature limit of these black holes approach a Lifshitz-like scaling solution in the infrared. We show that these black holes become unstable at low temperature and we construct a new class of black hole solutions which are thermodynamically preferred. The phase transition is third order and incorporates a spontaneous breaking of the $SO(6)$ global symmetry down to $SO(4)\times SO(2)$. The critical exponents for the phase transition are given by $(\alpha,\beta,\gamma,\delta)=(-1,1,1,2)$ which differ from the standard mean-field exponents usually seen in holography. At low temperatures the black holes approach a novel kind of scaling behaviour in the far IR with spatial anisotropy and hyperscaling violation. We show that the new ground states are thermal insulators in the direction of the anisotropy.

6.412664

5.440295

6.978557

5.588867

5.962496

5.976306

4.889418

5.829844

5.515179

7.178726

5.513689

5.669378

6.312087

5.738829

5.946819

5.94025

5.665009

5.86144

5.774621

6.351163

5.812541

2106.15451

Mostafa Ghasemi

Mostafa Ghasemi, Ali Naseh and Reza Pirmoradian

Odd Entanglement Entropy and Logarithmic Negativity for Thermofield Double States

44 pages, 17 figures, Comments about memory effect and some references are added

null

10.1007/JHEP10(2021)128

null

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

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

We investigate the time evolution of odd entanglement entropy (OEE) and logarithmic negativity (LN) for the thermofield double (TFD) states in free scalar quantum field theories using the covariance matrix approach. To have mixed states, we choose non-complementary subsystems, either adjacent or disjoint intervals on each side of the TFD. We find that the time evolution pattern of OEE is a linear growth followed by saturation. On a circular lattice, for longer times the finite size effect demonstrates itself as oscillatory behavior. In the limit of vanishing mass, for a subsystem containing a single degree of freedom on each side of the TFD, we analytically find the effect of zero-mode on the time evolution of OEE which leads to logarithmic growth in the intermediate times. Moreover, for adjacent intervals we find that the LN is zero for times $t < \beta/2$ (half of the inverse temperature) and after that, it begins to grow linearly. For disjoint intervals at fixed temperature, the vanishing of LN is observed for times $t<d/2$ (half of the distance between intervals). We also find a similar delay to see linear growth of $\Delta S=S_{\text{OEE}}-S_{\text{EE}}$. All these results show that the dynamics of these measures are consistent with the quasi-particle picture, of course apart from the logarithmic growth.

[ { "created": "Tue, 29 Jun 2021 14:40:04 GMT", "version": "v1" }, { "created": "Sun, 11 Jul 2021 09:14:11 GMT", "version": "v2" } ]

2021-11-03

[ [ "Ghasemi", "Mostafa", "" ], [ "Naseh", "Ali", "" ], [ "Pirmoradian", "Reza", "" ] ]

We investigate the time evolution of odd entanglement entropy (OEE) and logarithmic negativity (LN) for the thermofield double (TFD) states in free scalar quantum field theories using the covariance matrix approach. To have mixed states, we choose non-complementary subsystems, either adjacent or disjoint intervals on each side of the TFD. We find that the time evolution pattern of OEE is a linear growth followed by saturation. On a circular lattice, for longer times the finite size effect demonstrates itself as oscillatory behavior. In the limit of vanishing mass, for a subsystem containing a single degree of freedom on each side of the TFD, we analytically find the effect of zero-mode on the time evolution of OEE which leads to logarithmic growth in the intermediate times. Moreover, for adjacent intervals we find that the LN is zero for times $t < \beta/2$ (half of the inverse temperature) and after that, it begins to grow linearly. For disjoint intervals at fixed temperature, the vanishing of LN is observed for times $t<d/2$ (half of the distance between intervals). We also find a similar delay to see linear growth of $\Delta S=S_{\text{OEE}}-S_{\text{EE}}$. All these results show that the dynamics of these measures are consistent with the quasi-particle picture, of course apart from the logarithmic growth.

8.40469

7.978083

9.435347

7.572621

7.525593

7.884776

7.69879

7.37349

7.494935

8.902378

7.587966

7.810739

8.436884

7.927591

8.024635

8.237331

8.086301

8.043008

8.026231

8.044998

7.813265

0710.3933

Sergey Gavrilov P

S.P. Gavrilov and D.M. Gitman

Energy-momentum tensor in thermal strong-field QED with unstable vacuum

7 pages, Talk presented at Workshop "Quantum Field Theory under the Influence of External Conditions", Leipzig, September 17-21, 2007; introduction extended, version accepted for publication in J.Phys.A

J.Phys.A41:164046,2008

10.1088/1751-8113/41/16/164046

null

hep-th

null

The mean value of the one-loop energy-momentum tensor in thermal QED with electric-like background that creates particles from vacuum is calculated. The problem differes essentially from calculations of effective actions (similar to that of Heisenberg--Euler) in backgrounds that do not violate the stability of vacuum. The role of a constant electric background in the violation of both the stability of vacuum and the thermal character of particle distribution is investigated. Restrictions on the electric field and its duration under which one can neglect the back-reaction of created particles are established.

[ { "created": "Sun, 21 Oct 2007 14:07:02 GMT", "version": "v1" }, { "created": "Tue, 11 Dec 2007 15:22:44 GMT", "version": "v2" } ]

2008-11-26

[ [ "Gavrilov", "S. P.", "" ], [ "Gitman", "D. M.", "" ] ]

The mean value of the one-loop energy-momentum tensor in thermal QED with electric-like background that creates particles from vacuum is calculated. The problem differes essentially from calculations of effective actions (similar to that of Heisenberg--Euler) in backgrounds that do not violate the stability of vacuum. The role of a constant electric background in the violation of both the stability of vacuum and the thermal character of particle distribution is investigated. Restrictions on the electric field and its duration under which one can neglect the back-reaction of created particles are established.

15.032405

12.956577

14.534892

13.393669

13.636579

12.934164

15.178242

11.4527

13.063799

16.144428

12.9955

13.855607

15.299507

14.859415

14.031493

14.194183

13.89902

14.201779

14.827236

15.902625

14.084264

hep-th/9910044

Michael Kuchiev

M.Yu. Kuchiev

Gravity and instantons

7 pages, Latex, sprocl style (sprocl.sty file attached)

Nonperturbative Methods in Quantum Field Theory. Proceedings of the Workshop, Adelaide 1998. Eds. A.W.Schreiber, A.G.Williams and A.W.Thomas, pp.326-332

null

hep-th

null

Conventional non-Abelian SO(4) gauge theory is able to describe gravity provided the gauge field possesses a specific polarized vacuum state in which the instantons have a preferred orientation. Their orientation plays the role of the order parameter for the polarized phase of the gauge field. The interaction of a weak and smooth gauge field with the polarized vacuum is described by an effective long-range action which is identical to the Hilbert action of general relativity. In the classical limit this action results in the Einstein equations of general relativity. Gravitons appear as the mode describing propagation of the gauge field which strongly interacts with the oriented instantons. The Newton gravitational constant describes the density of the considered phase of the gauge field. The radius of the instantons under consideration is comparable with the Planck radius.

[ { "created": "Wed, 6 Oct 1999 09:42:18 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kuchiev", "M. Yu.", "" ] ]

Conventional non-Abelian SO(4) gauge theory is able to describe gravity provided the gauge field possesses a specific polarized vacuum state in which the instantons have a preferred orientation. Their orientation plays the role of the order parameter for the polarized phase of the gauge field. The interaction of a weak and smooth gauge field with the polarized vacuum is described by an effective long-range action which is identical to the Hilbert action of general relativity. In the classical limit this action results in the Einstein equations of general relativity. Gravitons appear as the mode describing propagation of the gauge field which strongly interacts with the oriented instantons. The Newton gravitational constant describes the density of the considered phase of the gauge field. The radius of the instantons under consideration is comparable with the Planck radius.

10.231858

8.028738

11.04064

8.885457

7.738019

7.404032

7.471195

8.188649

8.964752

11.508175

8.563799

9.305249

9.825863

9.416084

9.47194

9.402679

9.355956

9.275856

9.574271

10.274709

9.608646

1410.1048

Masao Ninomiya

Holger B. Nielsen and Masao Ninomiya

Deriving Veneziano Model in a Novel String Field Theory Solving String Theory by Liberating Right and Left Movers

43 pages, 7 figures, To be published in Proc.of 17th Bled Workshop 2014

null

OIQP-14-10

hep-th

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

Bosonic string theory with the possibility for an arbitrary number of strings - i.e. a string field theory - is formulated by a Hilbert space (a Fock space), which is just that for massless noninteracting scalars. We earlier presented this novel type of string field theory, but now we show that it leads to scattering just given by the Veneziano model amplitude. Generalization to strings with fermion modes would presumably be rather easy. It is characteristic for our formulation /model that: 1) We have thrown away some null set of information compared to usual string field theory, 2)Formulated in terms of our \objects" (= the non-interacting scalars) there is no interaction and essentially no time development(Heisenberg picture), 3) so that the S-matrix is in our Hilbert space given as the unit matrix, S=1, and 4) the Veneziano scattering amplitude appear as the overlap between the initial and the final state described in terms of the \objects". 5) The integration in the Euler beta function making up the Veneziano model appear from the summation over the number of \objects" from one of the incoming strings which goes into a certain one of the two outgoing strings. A correction from Weyl anomaly is needed to get the correct form of the Veneziano amplitude and it only fits for 26 dimensions.

[ { "created": "Sat, 4 Oct 2014 13:34:02 GMT", "version": "v1" }, { "created": "Tue, 10 Mar 2015 16:12:01 GMT", "version": "v2" } ]

2016-11-04

[ [ "Nielsen", "Holger B.", "" ], [ "Ninomiya", "Masao", "" ] ]

Bosonic string theory with the possibility for an arbitrary number of strings - i.e. a string field theory - is formulated by a Hilbert space (a Fock space), which is just that for massless noninteracting scalars. We earlier presented this novel type of string field theory, but now we show that it leads to scattering just given by the Veneziano model amplitude. Generalization to strings with fermion modes would presumably be rather easy. It is characteristic for our formulation /model that: 1) We have thrown away some null set of information compared to usual string field theory, 2)Formulated in terms of our \objects" (= the non-interacting scalars) there is no interaction and essentially no time development(Heisenberg picture), 3) so that the S-matrix is in our Hilbert space given as the unit matrix, S=1, and 4) the Veneziano scattering amplitude appear as the overlap between the initial and the final state described in terms of the \objects". 5) The integration in the Euler beta function making up the Veneziano model appear from the summation over the number of \objects" from one of the incoming strings which goes into a certain one of the two outgoing strings. A correction from Weyl anomaly is needed to get the correct form of the Veneziano amplitude and it only fits for 26 dimensions.

14.620043

15.794838

17.587114

15.028975

15.1543

16.428947

14.646173

16.425508

14.773364

18.026508

15.177233

14.16415

15.091416

14.313531

14.582286

15.386437

14.335953

14.278158

14.322325

14.774614

14.224956

1011.1245

Yi-Fu Cai

Yi-Fu Cai, Emmanuel N. Saridakis

Inflation in Entropic Cosmology: Primordial Perturbations and non-Gaussianities

10 pages, 3 figures, references added, accepted by PLB

Phys.Lett.B697:280-287,2011

10.1016/j.physletb.2011.02.020

null

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

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

We investigate thermal inflation in double-screen entropic cosmology. We find that its realization is general, resulting from the system evolution from non-equilibrium to equilibrium. Furthermore, going beyond the background evolution, we study the primordial curvature perturbations arising from the universe interior, as well as from the thermal fluctuations generated on the holographic screens. We show that the power spectrum is nearly scale-invariant with a red tilt, while the tensor-to-scalar ratio is in agreement with observations. Finally, we examine the non-Gaussianities of primordial curvature perturbations, and we find that a sizable value of the non-linearity parameter is possible due to holographic statistics on the outer screen.

[ { "created": "Thu, 4 Nov 2010 19:41:20 GMT", "version": "v1" }, { "created": "Sun, 6 Feb 2011 23:41:24 GMT", "version": "v2" } ]

2011-05-26

[ [ "Cai", "Yi-Fu", "" ], [ "Saridakis", "Emmanuel N.", "" ] ]

We investigate thermal inflation in double-screen entropic cosmology. We find that its realization is general, resulting from the system evolution from non-equilibrium to equilibrium. Furthermore, going beyond the background evolution, we study the primordial curvature perturbations arising from the universe interior, as well as from the thermal fluctuations generated on the holographic screens. We show that the power spectrum is nearly scale-invariant with a red tilt, while the tensor-to-scalar ratio is in agreement with observations. Finally, we examine the non-Gaussianities of primordial curvature perturbations, and we find that a sizable value of the non-linearity parameter is possible due to holographic statistics on the outer screen.

9.697927

10.334298

9.500641

9.164976

9.726709

9.954587

9.582417

10.313861

9.452929

10.153671

9.265516

9.238544

9.045536

9.221057

9.460876

9.199965

9.330061

9.159434

9.602293

9.28417

9.014494

2006.06665

Mikhail Solon

Clifford Cheung, Mikhail P. Solon

Tidal Effects in the Post-Minkowskian Expansion

5 pages + references, 1 figure, 1 ancillary file

Phys. Rev. Lett. 125, 191601 (2020)

10.1103/PhysRevLett.125.191601

CALT-TH 2020-025

hep-th gr-qc hep-ph

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

Tools from scattering amplitudes and effective field theory have recently been repurposed to derive state-of-the-art results for the black hole binary inspiral in the post-Minkowskian expansion. In the present work we extend this approach to include the tidal effects of mass and current quadrupoles on the conservative dynamics of non-spinning neutron star mergers. We compute the leading and, for the first time, next-to-leading order post-Minkowskian finite size corrections to the conservative Hamiltonian, together with their associated scattering amplitudes and scattering angles. Our expressions are gauge invariant and, in the extreme mass ratio limit, consistent with the dynamics of a tidally deformed test body in a Schwarzschild background. Furthermore, they agree completely with existing results at leading post-Minkowskian and second post-Newtonian orders.

[ { "created": "Thu, 11 Jun 2020 17:57:41 GMT", "version": "v1" } ]

2020-11-11

[ [ "Cheung", "Clifford", "" ], [ "Solon", "Mikhail P.", "" ] ]

Tools from scattering amplitudes and effective field theory have recently been repurposed to derive state-of-the-art results for the black hole binary inspiral in the post-Minkowskian expansion. In the present work we extend this approach to include the tidal effects of mass and current quadrupoles on the conservative dynamics of non-spinning neutron star mergers. We compute the leading and, for the first time, next-to-leading order post-Minkowskian finite size corrections to the conservative Hamiltonian, together with their associated scattering amplitudes and scattering angles. Our expressions are gauge invariant and, in the extreme mass ratio limit, consistent with the dynamics of a tidally deformed test body in a Schwarzschild background. Furthermore, they agree completely with existing results at leading post-Minkowskian and second post-Newtonian orders.

6.401458

5.700348

5.799299

5.514538

6.073894

6.323226

5.984192

5.433386

5.865926

6.268134

5.821922

5.619401

5.565943

5.582025

5.633226

5.551003

5.623254

5.637642

5.516358

5.533055

5.703997

2211.10414

Silvia Pla Garc\'ia

Jos\'e Navarro-Salas and Silvia Pla

Particle creation and the Schwinger model

10 pages; This article belongs to the Special Issue Black Holes, Cosmology, Quantum Gravity, and Their Symmetries;

Symmetry 2022, 14(11), 2435

10.3390/sym14112435

null

hep-th gr-qc hep-ph

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

We study the particle creation process in the Schwinger model coupled with an external classical source. One can approach the problem by taking advantage that the full quantized model is solvable and equivalent to a (massive) gauge field with a non-local effective action. Alternatively, one can also face the problem following the standard semiclassical route. This means quantizing the massless Dirac field and considering the electromagnetic field as a classical background. We evaluate the energy created by a generic, homogeneous, and time-dependent source. The results exactly match in both approaches. This proves in a very direct and economical way the validity of the semiclassical approach for the (massless) Schwinger model, in agreement with previous analysis based on the linear response equation. Our discussion suggests that a similar analysis for the massive Schwinger model could be used as a non-trivial laboratory to confront a fully quantized solvable model with its semiclassical approximation, therefore mimicking the long-standing confrontation of quantum gravity with quantum field theory in curved spacetime.

[ { "created": "Fri, 18 Nov 2022 18:31:19 GMT", "version": "v1" } ]

2022-11-29

[ [ "Navarro-Salas", "José", "" ], [ "Pla", "Silvia", "" ] ]

We study the particle creation process in the Schwinger model coupled with an external classical source. One can approach the problem by taking advantage that the full quantized model is solvable and equivalent to a (massive) gauge field with a non-local effective action. Alternatively, one can also face the problem following the standard semiclassical route. This means quantizing the massless Dirac field and considering the electromagnetic field as a classical background. We evaluate the energy created by a generic, homogeneous, and time-dependent source. The results exactly match in both approaches. This proves in a very direct and economical way the validity of the semiclassical approach for the (massless) Schwinger model, in agreement with previous analysis based on the linear response equation. Our discussion suggests that a similar analysis for the massive Schwinger model could be used as a non-trivial laboratory to confront a fully quantized solvable model with its semiclassical approximation, therefore mimicking the long-standing confrontation of quantum gravity with quantum field theory in curved spacetime.

11.315643

12.485683

11.424356

10.278868

12.158109

12.028977

12.106835

11.516356

11.009877

11.851861

10.864771

10.889544

10.822023

10.796346

11.006249

10.866083

10.94884

10.466361

10.642387

10.559621

10.893644

2205.03675

Pratik Chattopadhyay

Aspects of self-dual Yang-Mills and self-dual gravity

PhD thesis, 192 pages

null

hep-th

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

In this thesis, we study the all same helicity loop amplitudes in self-dual Yang-Mills and self-dual gravity. These amplitudes have long been conjectured to be interpreted as an anomaly and are recently linked to the UV divergence of two-loop quantum gravity. In the first part of the thesis, we study the loop amplitudes in self-dual Yang-Mills. We show that the four point one-loop amplitude can be reduced to a computation of shifts, which strongly suggests a case for an anomaly interpretation. We next propose a new formula for the one-loop amplitudes at all multiplicity, in terms of the Berends-Giele currents connected by an effective propagator. We prove the formula by observing that it readily implies the correct collinear properties. To demonstrate the validity of our formula, we do an explicit computation at 3, 4 and 5 points and reproduce the known results. The region momenta variables play an important role in our formula and thus it points to both the worldsheet and the momentum twistor interpretations. In the second part of the thesis, we study the one loop behaviour of chiral Einstein-Cartan gravity and the one-loop amplitudes in self-dual gravity.

[ { "created": "Sat, 7 May 2022 16:08:55 GMT", "version": "v1" }, { "created": "Sat, 21 Oct 2023 10:21:11 GMT", "version": "v2" } ]

2023-10-24

[ [ "Chattopadhyay", "Pratik", "" ] ]

In this thesis, we study the all same helicity loop amplitudes in self-dual Yang-Mills and self-dual gravity. These amplitudes have long been conjectured to be interpreted as an anomaly and are recently linked to the UV divergence of two-loop quantum gravity. In the first part of the thesis, we study the loop amplitudes in self-dual Yang-Mills. We show that the four point one-loop amplitude can be reduced to a computation of shifts, which strongly suggests a case for an anomaly interpretation. We next propose a new formula for the one-loop amplitudes at all multiplicity, in terms of the Berends-Giele currents connected by an effective propagator. We prove the formula by observing that it readily implies the correct collinear properties. To demonstrate the validity of our formula, we do an explicit computation at 3, 4 and 5 points and reproduce the known results. The region momenta variables play an important role in our formula and thus it points to both the worldsheet and the momentum twistor interpretations. In the second part of the thesis, we study the one loop behaviour of chiral Einstein-Cartan gravity and the one-loop amplitudes in self-dual gravity.

9.023052

7.921988

9.810602

8.154124

9.124695

8.885069

8.859821

8.68874

8.568089

9.601657

8.362278

8.36087

8.611266

8.387525

8.491037

8.689449

8.475853

8.640293

8.220243

8.660585

8.652893

0907.0327

Michael M. Scherer

Holger Gies, Stefan Rechenberger and Michael M. Scherer

Towards an Asymptotic-Safety Scenario for Chiral Yukawa Systems

16 pages, 8 figures

Eur.Phys.J.C66:403-418,2010

10.1140/epjc/s10052-010-1257-y

null

hep-th hep-ph

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

We search for asymptotic safety in a Yukawa system with a chiral $U(N_L)_L\otimes U(1)_R$ symmetry, serving as a toy model for the standard-model Higgs sector. Using the functional RG as a nonperturbative tool, the leading-order derivative expansion exhibits admissible non-Ga\ssian fixed-points for $1 \leq N_L \leq 57$ which arise from a conformal threshold behavior induced by self-balanced boson-fermion fluctuations. If present in the full theory, the fixed-point would solve the triviality problem. Moreover, as one fixed point has only one relevant direction even with a reduced hierarchy problem, the Higgs mass as well as the top mass are a prediction of the theory in terms of the Higgs vacuum expectation value. In our toy model, the fixed point is destabilized at higher order due to massless Goldstone and fermion fluctuations, which are particular to our model and have no analogue in the standard model.

[ { "created": "Thu, 2 Jul 2009 09:56:45 GMT", "version": "v1" } ]

2014-11-20

[ [ "Gies", "Holger", "" ], [ "Rechenberger", "Stefan", "" ], [ "Scherer", "Michael M.", "" ] ]

We search for asymptotic safety in a Yukawa system with a chiral $U(N_L)_L\otimes U(1)_R$ symmetry, serving as a toy model for the standard-model Higgs sector. Using the functional RG as a nonperturbative tool, the leading-order derivative expansion exhibits admissible non-Ga\ssian fixed-points for $1 \leq N_L \leq 57$ which arise from a conformal threshold behavior induced by self-balanced boson-fermion fluctuations. If present in the full theory, the fixed-point would solve the triviality problem. Moreover, as one fixed point has only one relevant direction even with a reduced hierarchy problem, the Higgs mass as well as the top mass are a prediction of the theory in terms of the Higgs vacuum expectation value. In our toy model, the fixed point is destabilized at higher order due to massless Goldstone and fermion fluctuations, which are particular to our model and have no analogue in the standard model.

10.674647

10.905037

11.262792

10.797454

11.039363

11.246104

11.271122

11.554516

11.073667

13.763551

10.625626

11.114572

11.022399

10.740294

10.325551

10.478644

10.851086

10.894003

10.406728

11.674915

10.734081

2112.12751

Navid Abbasi

Long-time tails in the SYK chain from the effective field theory with a large number of derivatives

37 pages, 2 figures, 8 tables

null

10.1007/JHEP04(2022)181

null

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

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

We study the nonlinear energy diffusion through the SYK chain in the framework of Schwinger-Keldysh effective field theory. We analytically construct the interacting effective Lagrangian up to $40^{th}$ order in the derivative expansion. According to this effective Lagrangian, we calculate the first order loop correction of the energy density response function, the pole of which is the dispersion relation of energy diffusion. As expected, we see that the standard derivative expansion of that dispersion relation, $\omega=-i D_{(1)} k^2- i D_{(2)} k^4+\mathcal{O}(k^6)$, breaks down due to the long-time tails. However, we find that the nonlinear contribution of order $n$ to the self-energy is proportional to $\left(k^{2}\right)^{n+1/2}$. This suggests to modify the dispersion relation by splitting it into two dispersion relations and double the number of transport coefficients at any order as $\omega=-i k^2\big( D_{(1,1)}\pm i D_{(1,2)} \left(k^2\right)^{1/2}\big)-i k^4\big( D_{(2,1)}\pm i D_{(2,2)} \left(k^2\right)^{1/2}\big)+\mathcal{O}(k^6)$. We find that the modified series, which include the effect of long-time tails, are convergent. The radius of convergence is proportional to the ratio of thermal conductivity to diffusion constant.

[ { "created": "Thu, 23 Dec 2021 18:08:07 GMT", "version": "v1" } ]

2022-05-18

[ [ "Abbasi", "Navid", "" ] ]

We study the nonlinear energy diffusion through the SYK chain in the framework of Schwinger-Keldysh effective field theory. We analytically construct the interacting effective Lagrangian up to $40^{th}$ order in the derivative expansion. According to this effective Lagrangian, we calculate the first order loop correction of the energy density response function, the pole of which is the dispersion relation of energy diffusion. As expected, we see that the standard derivative expansion of that dispersion relation, $\omega=-i D_{(1)} k^2- i D_{(2)} k^4+\mathcal{O}(k^6)$, breaks down due to the long-time tails. However, we find that the nonlinear contribution of order $n$ to the self-energy is proportional to $\left(k^{2}\right)^{n+1/2}$. This suggests to modify the dispersion relation by splitting it into two dispersion relations and double the number of transport coefficients at any order as $\omega=-i k^2\big( D_{(1,1)}\pm i D_{(1,2)} \left(k^2\right)^{1/2}\big)-i k^4\big( D_{(2,1)}\pm i D_{(2,2)} \left(k^2\right)^{1/2}\big)+\mathcal{O}(k^6)$. We find that the modified series, which include the effect of long-time tails, are convergent. The radius of convergence is proportional to the ratio of thermal conductivity to diffusion constant.

5.303431

5.547084

5.574011

5.288802

5.910423

5.448023

5.620676

5.305265

5.448058

6.122437

5.142346

5.246492

5.244433

5.176788

5.250592

5.409362

5.139449

5.213053

5.156372

5.275646

5.27056

1504.00479

Yutaka Ookouchi

Aya Kasai and Yutaka Ookouchi

Gravitational Correction to Fuzzy String in Metastable Brane Configuration

21 pages, 9 figures

null

KYUSHU-HET-153

hep-th

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

We study dynamics of a cosmic string in a metastable brane configuration in Type IIA string theory. We first discuss a decay process of the cosmic string via a fuzzy brane (equivalently bubble/string bound state) by neglecting gravitational corrections in ten-dimension. We find that depending on the strength of the magnetic field induced on the bubble, the decay rate can be either larger or smaller than that of $O(4)$ symmetric bubble. Then, we investigate gravitational corrections to the fuzzy brane by using the extremal black $NS$-five brane solution, which makes the lifetime of the metastable state longer.

[ { "created": "Thu, 2 Apr 2015 09:02:51 GMT", "version": "v1" } ]

2015-04-03

[ [ "Kasai", "Aya", "" ], [ "Ookouchi", "Yutaka", "" ] ]

We study dynamics of a cosmic string in a metastable brane configuration in Type IIA string theory. We first discuss a decay process of the cosmic string via a fuzzy brane (equivalently bubble/string bound state) by neglecting gravitational corrections in ten-dimension. We find that depending on the strength of the magnetic field induced on the bubble, the decay rate can be either larger or smaller than that of $O(4)$ symmetric bubble. Then, we investigate gravitational corrections to the fuzzy brane by using the extremal black $NS$-five brane solution, which makes the lifetime of the metastable state longer.

12.619025

11.87854

12.399382

10.775716

12.158312

12.574582

11.201253

12.131759

11.569346

14.154324

11.689353

12.175212

12.233124

11.728697

12.143664

12.029859

12.101622

12.030515

11.870143

12.388846

11.986681

1805.03731

Konstantinos Siampos

George Georgiou, Pantelis Panopoulos, Eftychia Sagkrioti, Konstantinos Sfetsos, Konstantinos Siampos

The exact $C$-function in integrable $\lambda$-deformed theories

v1: 1+15 pages, Latex, v2: PLB version, v3: Correcting a typo in footnote 6

Phys.Lett. B782 (2018) 613-618

10.1016/j.physletb.2018.06.023

CERN-TH-2018-104

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

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

By employing CFT techniques, we show how to compute in the context of \lambda-deformations of current algebras and coset CFTs the exact in the deformation parameters C-function for a wide class of integrable theories that interpolate between a UV and an IR point. We explicitly consider RG flows for integrable deformations of left-right asymmetric current algebras and coset CFTs. In all cases, the derived exact C-functions obey all the properties asserted by Zamolodchikov's c-theorem in two-dimensions.

[ { "created": "Wed, 9 May 2018 21:02:03 GMT", "version": "v1" }, { "created": "Tue, 12 Jun 2018 13:29:02 GMT", "version": "v2" }, { "created": "Sun, 22 Dec 2019 13:39:28 GMT", "version": "v3" } ]

2019-12-24

[ [ "Georgiou", "George", "" ], [ "Panopoulos", "Pantelis", "" ], [ "Sagkrioti", "Eftychia", "" ], [ "Sfetsos", "Konstantinos", "" ], [ "Siampos", "Konstantinos", "" ] ]

By employing CFT techniques, we show how to compute in the context of \lambda-deformations of current algebras and coset CFTs the exact in the deformation parameters C-function for a wide class of integrable theories that interpolate between a UV and an IR point. We explicitly consider RG flows for integrable deformations of left-right asymmetric current algebras and coset CFTs. In all cases, the derived exact C-functions obey all the properties asserted by Zamolodchikov's c-theorem in two-dimensions.

9.140884

8.606864

12.250002

8.293541

9.581627

9.656355

9.59221

8.329021

8.601591

11.359021

8.434415

8.089571

9.6316

8.69324

8.495171

8.586362

8.549272

8.951282

8.533256

9.703568

8.290054

0804.2989

Othmar Steinmann

A New Look at the Higgs-Kibble Model

Based on a talk delivered at the `Ringberg Symposium' in honor of Wolfhart Zimmermann, February 2008

null

10.1142/9789812833556_0002

null

hep-th math-ph math.MP

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

An elementary perturbative method of handling the Higgs-Kibble models and deriving their relevant properties, is described. It is based on Wightman field theory and avoids some of the mathematical weaknesses of the standard treatments.

[ { "created": "Fri, 18 Apr 2008 10:31:49 GMT", "version": "v1" } ]

2017-08-23

[ [ "Steinmann", "Othmar", "" ] ]

An elementary perturbative method of handling the Higgs-Kibble models and deriving their relevant properties, is described. It is based on Wightman field theory and avoids some of the mathematical weaknesses of the standard treatments.

23.12191

14.958284

18.42507

16.989178

15.658718

15.255234

17.480595

14.599335

15.92216

21.46022

15.861734

17.179071

18.398369

17.385971

18.285408

17.817265

17.627356

18.253885

17.907785

17.950258

16.740088

2209.10856

Zhenjie Li

Song He, Zhenjie Li, Chi Zhang

A nice two-loop next-to-next-to-MHV amplitude in ${\cal N}=4$ super-Yang-Mills

20 pages, 2 figures and an ancillary file containing symbols of two-loop integrals and the ratio function

null

10.1007/JHEP12(2022)158

null

hep-th

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

We study a scalar component of the 8-point next-to-next-to-maximally-helicity-violating (N${}^2$MHV) amplitude at two-loop level in ${\cal N}=4$ super-Yang-Mills theory; it has a leading singularity proportional to the inverse of the four-mass-box square root and receives contributions from only two types of non-trivial integrals with one-loop infrared (IR) divergences. We compute such two-loop 8-point integrals by taking (double-)collinear limits of certain finite, dual-conformal-invariant integrals, and they nicely give the IR-safe ratio function after subtracting divergences. As the first genuine two-loop N${}^2$MHV amplitude computed explicitly, we find remarkable structures in its symbol and alphabet: similar to the next-to-MHV (NMHV) case, there are still 9 algebraic letters associated with the square root, and the latter also becomes a letter for the first time; unlike the NMHV case, such algebraic letters appear at either one or all of the second, third and last entry, and the part with three odd letters is particularly simple.

[ { "created": "Thu, 22 Sep 2022 08:42:29 GMT", "version": "v1" } ]

2023-01-18

[ [ "He", "Song", "" ], [ "Li", "Zhenjie", "" ], [ "Zhang", "Chi", "" ] ]

We study a scalar component of the 8-point next-to-next-to-maximally-helicity-violating (N${}^2$MHV) amplitude at two-loop level in ${\cal N}=4$ super-Yang-Mills theory; it has a leading singularity proportional to the inverse of the four-mass-box square root and receives contributions from only two types of non-trivial integrals with one-loop infrared (IR) divergences. We compute such two-loop 8-point integrals by taking (double-)collinear limits of certain finite, dual-conformal-invariant integrals, and they nicely give the IR-safe ratio function after subtracting divergences. As the first genuine two-loop N${}^2$MHV amplitude computed explicitly, we find remarkable structures in its symbol and alphabet: similar to the next-to-MHV (NMHV) case, there are still 9 algebraic letters associated with the square root, and the latter also becomes a letter for the first time; unlike the NMHV case, such algebraic letters appear at either one or all of the second, third and last entry, and the part with three odd letters is particularly simple.

10.664201

9.350474

11.97436

9.467182

9.742909

10.493127

9.676879

9.38337

9.143238

12.953263

9.293695

9.329178

10.420718

9.744909

9.644172

9.928912

9.868152

9.734738

9.660986

10.405622

9.603146

0812.3842

Markus Quandt

M.Quandt, G.Burgio, S.Chimchinda, H.Reinhardt

Coulomb gauge ghost propagator and the Coulomb potential

6 pages, 6 figures, talk presented at the 8th Conference on Quark Confinement and the Hadron Spectrum, September 1-6, 2008, Mainz, Germany

PoS Confinement8:066,2008

null

UNITU-THEP-42-2008

hep-th

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

The ghost propagator and the Coulomb potential are evaluated in Coulomb gauge on the lattice, using an improved gauge fixing scheme which includes the residual symmetry. This setting has been shown to be essential in order to explain the scaling violations in the instantaneous gluon propagator. We find that both the ghost propagator and the Coulomb potential are insensitive to the Gribov problem or the details of the residual gauge fixing, even if the Coulomb potential is evaluated from the A0--propagator instead of the Coulomb kernel. In particular, no signs of scaling violations could be found in either quantity, at least to well below the numerical accuracy where these violations were visible for the gluon propagator. The Coulomb potential from the A0-propagator is shown to be in qualitative agreement with the (formally equivalent) expression evaluated from the Coulomb kernel.

[ { "created": "Fri, 19 Dec 2008 16:36:11 GMT", "version": "v1" } ]

2009-06-25

[ [ "Quandt", "M.", "" ], [ "Burgio", "G.", "" ], [ "Chimchinda", "S.", "" ], [ "Reinhardt", "H.", "" ] ]

The ghost propagator and the Coulomb potential are evaluated in Coulomb gauge on the lattice, using an improved gauge fixing scheme which includes the residual symmetry. This setting has been shown to be essential in order to explain the scaling violations in the instantaneous gluon propagator. We find that both the ghost propagator and the Coulomb potential are insensitive to the Gribov problem or the details of the residual gauge fixing, even if the Coulomb potential is evaluated from the A0--propagator instead of the Coulomb kernel. In particular, no signs of scaling violations could be found in either quantity, at least to well below the numerical accuracy where these violations were visible for the gluon propagator. The Coulomb potential from the A0-propagator is shown to be in qualitative agreement with the (formally equivalent) expression evaluated from the Coulomb kernel.

8.388753

9.124912

8.840446

8.214705

9.167216

9.252803

8.750472

8.902761

8.397097

8.729905

8.901516

8.19048

8.225468

8.104766

8.06431

8.208391

8.225167

8.325771

7.987378

8.004457

8.486312

hep-th/0405242

Marta Gomez-Reino

Exact Superpotentials, Theories with Flavor and Confining Vacua

16 pages, no figures

JHEP 0406 (2004) 051

10.1088/1126-6708/2004/06/051

null

hep-th

null

In this paper we study some interesting properties of the effective superpotential of N=1 supersymmetric gauge theories with fundamental matter, with the help of the Dijkgraaf--Vafa proposal connecting supersymmetric gauge theories with matrix models. We find that the effective superpotential for theories with N_f fundamental flavors can be calculated in terms of quantities computed in the pure (N_f=0) gauge theory. Using this property we compute in a remarkably simple way the exact effective superpotential of N=1 supersymmetric theories with fundamental matter and gauge group SU(N_c), at the point in the moduli space where a maximal number of monopoles become massless (confining vacua). We extend the analysis to a generic point of the moduli space, and show how to compute the effective superpotential in this general case.

[ { "created": "Wed, 26 May 2004 19:10:27 GMT", "version": "v1" }, { "created": "Tue, 6 Jul 2004 14:47:52 GMT", "version": "v2" } ]

2009-11-10

[ [ "Gomez-Reino", "Marta", "" ] ]

In this paper we study some interesting properties of the effective superpotential of N=1 supersymmetric gauge theories with fundamental matter, with the help of the Dijkgraaf--Vafa proposal connecting supersymmetric gauge theories with matrix models. We find that the effective superpotential for theories with N_f fundamental flavors can be calculated in terms of quantities computed in the pure (N_f=0) gauge theory. Using this property we compute in a remarkably simple way the exact effective superpotential of N=1 supersymmetric theories with fundamental matter and gauge group SU(N_c), at the point in the moduli space where a maximal number of monopoles become massless (confining vacua). We extend the analysis to a generic point of the moduli space, and show how to compute the effective superpotential in this general case.

5.069695

4.468526

5.183384

4.598759

4.613226

4.748427

4.515722

4.518977

4.384096

5.897877

4.638976

4.427836

4.801985

4.528456

4.457431

4.567906

4.488257

4.473974

4.508347

4.700782

4.547989

hep-th/0602030

Michel de Haan

Mechanical momentum in nonequilibrium quantum electrodynamics

102 pages (55 in appendix), misleading notation corrected

null

hep-th

null

The reformulation of field theory in which self-energy processes are no longer present [Annals of Physics, {\bf311} (2004), 314.], [ Progr. Theor. Phys., {\bf 109} (2003), 881.], [Trends in Statistical Physics {\bf 3} (2000), 115.] provides an adequate tool to transform Swinger-Dyson equations into a kinetic description outside any approximation scheme. Usual approaches in quantum electrodynamics (QED) are unable to cope with the mechanical momentum of the electron and replace it by the canonical momentum. The use of that unphysical momentum is responsible for the divergences that are removed by the renormalization procedure in the $S$-matrix theory. The connection between distribution functions in terms of the canonical and those in terms of the mechanical momentum is now provided by a dressing operator [Annals of Physics, {\bf314} (2004), 10] that allows the elimination of the above divergences, as the first steps are illustrated here.

[ { "created": "Fri, 3 Feb 2006 08:34:07 GMT", "version": "v1" }, { "created": "Mon, 23 Oct 2006 09:23:51 GMT", "version": "v2" } ]

2007-05-23

[ [ "de Haan", "Michel", "" ] ]

The reformulation of field theory in which self-energy processes are no longer present [Annals of Physics, {\bf311} (2004), 314.], [ Progr. Theor. Phys., {\bf 109} (2003), 881.], [Trends in Statistical Physics {\bf 3} (2000), 115.] provides an adequate tool to transform Swinger-Dyson equations into a kinetic description outside any approximation scheme. Usual approaches in quantum electrodynamics (QED) are unable to cope with the mechanical momentum of the electron and replace it by the canonical momentum. The use of that unphysical momentum is responsible for the divergences that are removed by the renormalization procedure in the $S$-matrix theory. The connection between distribution functions in terms of the canonical and those in terms of the mechanical momentum is now provided by a dressing operator [Annals of Physics, {\bf314} (2004), 10] that allows the elimination of the above divergences, as the first steps are illustrated here.

12.186157

14.157979

13.015474

12.019837

13.975057

13.318544

12.816852

13.163373

12.793904

15.465986

12.215313

12.002498

12.00459

11.601501

11.889808

11.782482

11.98023

11.742404

11.924107

12.301188

11.50124

2010.07325

Jingxiang Wu

Davide Gaiotto, Ji Hoon Lee, Benoit Vicedo, Jingxiang Wu

Kondo line defects and affine Gaudin models

46+43 pages, 10 figures

null

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

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

We describe the relation between integrable Kondo problems in products of chiral $SU(2)$ WZW models and affine $SU(2)$ Gaudin models. We propose a full ODE/IM solution of the spectral problem for these models.

[ { "created": "Wed, 14 Oct 2020 18:00:35 GMT", "version": "v1" }, { "created": "Sat, 27 Nov 2021 11:50:01 GMT", "version": "v2" } ]

2021-11-30

[ [ "Gaiotto", "Davide", "" ], [ "Lee", "Ji Hoon", "" ], [ "Vicedo", "Benoit", "" ], [ "Wu", "Jingxiang", "" ] ]

We describe the relation between integrable Kondo problems in products of chiral $SU(2)$ WZW models and affine $SU(2)$ Gaudin models. We propose a full ODE/IM solution of the spectral problem for these models.

12.289154

9.772979

15.857374

9.657057

9.206585

10.267697

11.384466

9.451889

8.835936

16.27704

9.939179

10.486944

13.920975

10.960439

10.385175

10.641057

10.568562

10.712955

10.621922

13.377869

11.426085

hep-th/0210097

Christian Brouder

Christian Brouder and William Schmitt

Renormalization as a functor on bialgebras

24 pages, no figure. Several changes in the connection with standard renormalization

J.Pure.Appl.Algebra209:477,2007

10.1016/j.jpaa.2006.06.013

null

hep-th

null

The Hopf algebra of renormalization in quantum field theory is described at a general level. The products of fields at a point are assumed to form a bialgebra B and renormalization endows T(T(B)^+), the double tensor algebra of B, with the structure of a noncommutative bialgebra. When the bialgebra B is commutative, renormalization turns S(S(B)^+), the double symmetric algebra of B, into a commutative bialgebra. The usual Hopf algebra of renormalization is recovered when the elements of B are not renormalised, i.e. when Feynman diagrams containing one single vertex are not renormalised. When B is the Hopf algebra of a commutative group, a homomorphism is established between the bialgebra S(S(B)^+) and the Faa di Bruno bialgebra of composition of series. The relation with the Connes-Moscovici Hopf algebra of diffeomorphisms is given. Finally, the bialgebra S(S(B)^+) is shown to give the same results as the standard renormalisation procedure for the scalar field.

[ { "created": "Thu, 10 Oct 2002 13:56:54 GMT", "version": "v1" }, { "created": "Tue, 10 Apr 2007 21:58:28 GMT", "version": "v2" } ]

2008-11-26

[ [ "Brouder", "Christian", "" ], [ "Schmitt", "William", "" ] ]

The Hopf algebra of renormalization in quantum field theory is described at a general level. The products of fields at a point are assumed to form a bialgebra B and renormalization endows T(T(B)^+), the double tensor algebra of B, with the structure of a noncommutative bialgebra. When the bialgebra B is commutative, renormalization turns S(S(B)^+), the double symmetric algebra of B, into a commutative bialgebra. The usual Hopf algebra of renormalization is recovered when the elements of B are not renormalised, i.e. when Feynman diagrams containing one single vertex are not renormalised. When B is the Hopf algebra of a commutative group, a homomorphism is established between the bialgebra S(S(B)^+) and the Faa di Bruno bialgebra of composition of series. The relation with the Connes-Moscovici Hopf algebra of diffeomorphisms is given. Finally, the bialgebra S(S(B)^+) is shown to give the same results as the standard renormalisation procedure for the scalar field.

5.599235

5.537505

5.668651

5.494319

6.178825

6.247657

5.709894

6.012726

5.520557

6.677952

5.497671

5.758816

5.845327

5.656262

5.647412

5.493103

5.528748

5.459302

5.555821

5.713367

5.419959

2109.10189

Giovanni Cabass

Giovanni Cabass, Enrico Pajer, David Stefanyszyn, Jakub Supe{\l}

Bootstrapping Large Graviton non-Gaussianities

58 pages, 2 tables, 5 figures, added section on "Perturbativity, naturalness and strong coupling", matches JHEP version

null

10.1007/JHEP05(2022)077

null

hep-th astro-ph.CO gr-qc

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

Gravitational interferometers and cosmological observations of the cosmic microwave background offer us the prospect to probe the laws of gravity in the primordial universe. To study and interpret these datasets we need to know the possible graviton non-Gaussianities. To this end, we derive the most general tree-level three-point functions (bispectra) for a massless graviton to all orders in derivatives, assuming scale invariance. Instead of working with explicit Lagrangians, we take a bootstrap approach and obtain our results using the recently derived constraints from unitarity, locality and the choice of vacuum. Since we make no assumptions about de Sitter boosts, our results capture the phenomenology of large classes of models such as the effective field theory of inflation and solid inflation. We present formulae for the infinite number of parity-even bispectra. Remarkably, for parity-odd bispectra, we show that unitarity allows for only a handful of possible shapes: three for graviton-graviton-graviton, three for scalar-graviton-graviton and one for scalar-scalar-graviton, which we bootstrap explicitly. These parity-odd non-Gaussianities can be large, for example in solid inflation, and therefore constitute a concrete and well-motivated target for future observations.

[ { "created": "Tue, 21 Sep 2021 14:16:36 GMT", "version": "v1" }, { "created": "Wed, 11 May 2022 15:20:59 GMT", "version": "v2" } ]

2022-06-01

[ [ "Cabass", "Giovanni", "" ], [ "Pajer", "Enrico", "" ], [ "Stefanyszyn", "David", "" ], [ "Supeł", "Jakub", "" ] ]

Gravitational interferometers and cosmological observations of the cosmic microwave background offer us the prospect to probe the laws of gravity in the primordial universe. To study and interpret these datasets we need to know the possible graviton non-Gaussianities. To this end, we derive the most general tree-level three-point functions (bispectra) for a massless graviton to all orders in derivatives, assuming scale invariance. Instead of working with explicit Lagrangians, we take a bootstrap approach and obtain our results using the recently derived constraints from unitarity, locality and the choice of vacuum. Since we make no assumptions about de Sitter boosts, our results capture the phenomenology of large classes of models such as the effective field theory of inflation and solid inflation. We present formulae for the infinite number of parity-even bispectra. Remarkably, for parity-odd bispectra, we show that unitarity allows for only a handful of possible shapes: three for graviton-graviton-graviton, three for scalar-graviton-graviton and one for scalar-scalar-graviton, which we bootstrap explicitly. These parity-odd non-Gaussianities can be large, for example in solid inflation, and therefore constitute a concrete and well-motivated target for future observations.

6.918918

6.615918

7.515036

6.488178

6.807491

6.833172

6.973422

6.813508

6.786761

8.300685

6.705719

6.770076

7.157614

6.702304

6.748793

6.80292

6.740969

6.741614

6.592201

7.053624

6.697873

1905.04381

Dmitri Khveshchenko

D.V.Khveshchenko

True SYK or (con)sequences

Latex, no figures

Lith. J. of Phys. v.59, p.104 (2019)

10.3952/physics.v59i2.4013

null

hep-th cond-mat.str-el

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

Some generalizations of the Sachdev-Ye-Kitaev (SYK) model and different patterns of their reparametrization symmetry breaking are discussed. The analysis of such (pseudo)holographic systems relates their generalized one-dimensional Schwarzian dynamics to (quasi) two-dimensional Liouvillian quantum mechanics. As compared to the original SYK case, the latter might be dissipative or have discrete states in its spectrum, either of which properties alters thermodynamics and correlations while preserving the underlying $SL(2,R)$ symmetry.

[ { "created": "Thu, 2 May 2019 16:34:50 GMT", "version": "v1" } ]

2023-11-17

[ [ "Khveshchenko", "D. V.", "" ] ]

Some generalizations of the Sachdev-Ye-Kitaev (SYK) model and different patterns of their reparametrization symmetry breaking are discussed. The analysis of such (pseudo)holographic systems relates their generalized one-dimensional Schwarzian dynamics to (quasi) two-dimensional Liouvillian quantum mechanics. As compared to the original SYK case, the latter might be dissipative or have discrete states in its spectrum, either of which properties alters thermodynamics and correlations while preserving the underlying $SL(2,R)$ symmetry.

16.177719

14.574436

17.697424

15.204403

15.808953

15.863981

16.283392

14.95274

14.844348

18.923073

14.564013

14.792791

15.146289

14.842823

15.510623

14.861616

15.101347

14.50088

14.552173

15.694868

14.689579

1104.4463

Massimo Siani

On inhomogeneous holographic superconductors

10 pages, 4 figures

null

hep-th cond-mat.supr-con gr-qc

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

We study a model describing a four-dimensional holographic superconductor whose properties depend non-trivially on a particular spatial direction, namely a Josephson junction. We analyze the parameter dependence of the condensate and compare it to the condensed matter expectations.

[ { "created": "Fri, 22 Apr 2011 15:12:36 GMT", "version": "v1" } ]

2015-03-19

[ [ "Siani", "Massimo", "" ] ]

We study a model describing a four-dimensional holographic superconductor whose properties depend non-trivially on a particular spatial direction, namely a Josephson junction. We analyze the parameter dependence of the condensate and compare it to the condensed matter expectations.

13.496428

10.227935

12.914988

10.18001

11.01492

10.222595

9.561892

8.764297

10.400251

14.069578

9.780315

11.092647

13.240457

11.443368

11.672461

11.76757

10.76902

11.297729

11.046848

12.62344

10.671084

hep-th/9910225

Mariano Cadoni

Mariano Cadoni and Salvatore Mignemi

Reply Comment on "Entropy of 2D black holes from counting microstates"

3 pages, LaTex file, reply to comment hep-th/9910213

Phys.Rev. D61 (2000) 088502

10.1103/PhysRevD.61.088502

INFNCA-TH9909

hep-th

null

We show that the arguments proposed by Park and Yee against our recent derivation of the statistical entropy of 2D black holes do not apply to the case under consideration

[ { "created": "Thu, 28 Oct 1999 10:36:12 GMT", "version": "v1" } ]

2009-10-31

[ [ "Cadoni", "Mariano", "" ], [ "Mignemi", "Salvatore", "" ] ]

We show that the arguments proposed by Park and Yee against our recent derivation of the statistical entropy of 2D black holes do not apply to the case under consideration

18.512316

11.894169

10.767641

11.376541

10.114652

10.935418

12.678068

12.349618

10.015529

11.095884

11.182824

12.838954

13.162665

11.696627

12.472383

12.295722

12.800131

12.218937

12.706826

13.913034

13.086256

2010.13736

David Wu

David H. Wu

Resurgent Analysis of SU(2) Chern-Simons Partition Function on Brieskorn Spheres $\Sigma(2,3,6n+5)$

18 pages; v2: minor revision, added references

J. High Energ. Phys. 2021, 8 (2021)

10.1007/JHEP02(2021)008

null

hep-th

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

$\hat{Z}$-invariants, which can reconstruct the analytic continuation of the SU(2) Chern-Simons partition functions via Borel resummation, were discovered by GPV and have been conjectured to be a new homological invariant of 3-manifolds which can shed light onto the superconformal and topologically twisted index of 3d $\mathcal{N}=2$ theories proposed by GPPV. In particular, the resurgent analysis of $\hat{Z}$ has been fruitful in discovering analytic properties of the WRT invariants. The resurgent analysis of these $\hat{Z}$-invariants has been performed for the cases of $\Sigma(2,3,5),\ \Sigma(2,3,7)$ by GMP, $\Sigma(2,5,7)$ by Chun, and, more recently, some additional Seifert manifolds by Chung and Kucharski, independently. In this paper, we extend and generalize the resurgent analysis of $\hat{Z}$ on a family of Brieskorn homology spheres $\Sigma(2,3,6n+5)$ where $n\in\mathbb{Z}_+$ and $6n+5$ is a prime. By deriving $\hat{Z}$ for $\Sigma(2,3,6n+5)$ according to GPPV and Hikami, we provide a formula where one can quickly compute the non-perturbative contributions to the full analytic continuation of SU(2) Chern-Simons partition function.

[ { "created": "Mon, 26 Oct 2020 17:23:28 GMT", "version": "v1" }, { "created": "Mon, 30 Nov 2020 10:41:27 GMT", "version": "v2" } ]

2021-02-08

[ [ "Wu", "David H.", "" ] ]

$\hat{Z}$-invariants, which can reconstruct the analytic continuation of the SU(2) Chern-Simons partition functions via Borel resummation, were discovered by GPV and have been conjectured to be a new homological invariant of 3-manifolds which can shed light onto the superconformal and topologically twisted index of 3d $\mathcal{N}=2$ theories proposed by GPPV. In particular, the resurgent analysis of $\hat{Z}$ has been fruitful in discovering analytic properties of the WRT invariants. The resurgent analysis of these $\hat{Z}$-invariants has been performed for the cases of $\Sigma(2,3,5),\ \Sigma(2,3,7)$ by GMP, $\Sigma(2,5,7)$ by Chun, and, more recently, some additional Seifert manifolds by Chung and Kucharski, independently. In this paper, we extend and generalize the resurgent analysis of $\hat{Z}$ on a family of Brieskorn homology spheres $\Sigma(2,3,6n+5)$ where $n\in\mathbb{Z}_+$ and $6n+5$ is a prime. By deriving $\hat{Z}$ for $\Sigma(2,3,6n+5)$ according to GPPV and Hikami, we provide a formula where one can quickly compute the non-perturbative contributions to the full analytic continuation of SU(2) Chern-Simons partition function.

5.988727

5.792451

7.310538

5.620368

6.502168

6.066392

6.094868

6.466201

5.950814

7.507984

5.926315

5.645265

6.339413

5.734447

5.849535

5.621741

5.789418

5.783518

5.864826

6.309735

5.723247

2001.09480

Alon Faraggi

Alon E Faraggi

Novel Perspectives in String Phenomenology

21 pages. 5 figures. Talk presented at the Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2019), 31 August - 25 September 2019, Corfu, Greece. Reference added

null

LTH-1227

hep-th hep-ph

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

String theory is the leading contemporary framework to explore the synthesis of quantum mechanics with gravity. String phenomenology aims to study string theory while maintaining contact with observational data. The fermionic $Z_2\times Z_2$ orbifold provides a case study that yielded a rich space of phenomenological models. String theory in ten dimensions gives rise to non--supersymmetric tachyonic vacua that may serve as good starting points for the construction of phenomenologically viable models. I discuss an example of such a three generation standard--like model in which all the moduli, aside from the dilaton, are frozen. The M\"obius symmetry may turn out to play a central role in the synthesis of quantum mechanics and gravity. In a local version it plays a central role in string theory. In a global version it underlies the Equivalence Postulate of Quantum Mechanics (EPOQM) formalism, which implies that spatial space is compact. It was recently proposed that evidence that the universe is closed exists in the Cosmic Microwave Background Radiation \cite{DiVMS}.

[ { "created": "Sun, 26 Jan 2020 16:28:54 GMT", "version": "v1" }, { "created": "Tue, 17 Mar 2020 12:53:10 GMT", "version": "v2" } ]

2020-03-18

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

String theory is the leading contemporary framework to explore the synthesis of quantum mechanics with gravity. String phenomenology aims to study string theory while maintaining contact with observational data. The fermionic $Z_2\times Z_2$ orbifold provides a case study that yielded a rich space of phenomenological models. String theory in ten dimensions gives rise to non--supersymmetric tachyonic vacua that may serve as good starting points for the construction of phenomenologically viable models. I discuss an example of such a three generation standard--like model in which all the moduli, aside from the dilaton, are frozen. The M\"obius symmetry may turn out to play a central role in the synthesis of quantum mechanics and gravity. In a local version it plays a central role in string theory. In a global version it underlies the Equivalence Postulate of Quantum Mechanics (EPOQM) formalism, which implies that spatial space is compact. It was recently proposed that evidence that the universe is closed exists in the Cosmic Microwave Background Radiation \cite{DiVMS}.

11.987152

11.812544

12.880903

11.106714

11.505864

11.911125

11.619128

11.396065

11.461955

13.150509

11.144123

11.57901

11.626982

11.542508

11.582845

11.604535

11.496279

11.582196

11.450292

11.909121

11.104028

2001.00023

David Tong

Pietro Benetti Genolini, Masazumi Honda, Hee-Cheol Kim, David Tong, Cumrun Vafa

Evidence for a Non-Supersymmetric 5d CFT from Deformations of 5d $SU(2)$ SYM

18 pages, 2 figures. v2: minor typos fixed, references added

JHEP 2020, 58 (2020)

10.1007/JHEP05(2020)058

null

hep-th

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

We study supersymmetry breaking deformations of the $\mathcal{N}=1$ 5d fixed point known as $E_1$, the UV completion of $SU(2)$ super-Yang-Mills. The phases of the non-supersymmetric theory can be characterized by Chern-Simons terms involving background $U(1)$ gauge fields, allowing us to identify a phase transition at strong coupling. We propose that this may signify the emergence of a non-trivial, non-supersymmetric CFT in $d=4+1$ dimensions.

[ { "created": "Tue, 31 Dec 2019 19:00:02 GMT", "version": "v1" }, { "created": "Sat, 14 Mar 2020 08:57:01 GMT", "version": "v2" } ]

2022-02-03

[ [ "Genolini", "Pietro Benetti", "" ], [ "Honda", "Masazumi", "" ], [ "Kim", "Hee-Cheol", "" ], [ "Tong", "David", "" ], [ "Vafa", "Cumrun", "" ] ]

We study supersymmetry breaking deformations of the $\mathcal{N}=1$ 5d fixed point known as $E_1$, the UV completion of $SU(2)$ super-Yang-Mills. The phases of the non-supersymmetric theory can be characterized by Chern-Simons terms involving background $U(1)$ gauge fields, allowing us to identify a phase transition at strong coupling. We propose that this may signify the emergence of a non-trivial, non-supersymmetric CFT in $d=4+1$ dimensions.

7.356335

6.432154

7.834707

6.522092

6.885451

7.004163

6.540755

6.554335

6.929678

8.595364

6.237987

7.047592

8.122021

6.873771

6.87966

6.985028

6.846188

6.720902

6.751071

7.948599

6.755481

2305.11793

Stefano Massai

Maxim Emelin, Stefano Massai

A note on integrability loss in fuzzball geometries

21 pages

null

hep-th

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

We study the dynamics of certain string configurations in a class of fivebrane supertube backgrounds. In the decoupling limit of the fivebranes, these solutions are known to admit an exact description in worldsheet string theory and string propagation is integrable. For the asymptotically flat solutions, we prove, by using analytic tools of classical Hamiltonian systems, the non-integrability of classical string motion. This suggests that string dynamics in circular supertube geometries exhibit a regime of chaotic behaviour.

[ { "created": "Fri, 19 May 2023 16:29:08 GMT", "version": "v1" } ]

2023-05-22

[ [ "Emelin", "Maxim", "" ], [ "Massai", "Stefano", "" ] ]

We study the dynamics of certain string configurations in a class of fivebrane supertube backgrounds. In the decoupling limit of the fivebranes, these solutions are known to admit an exact description in worldsheet string theory and string propagation is integrable. For the asymptotically flat solutions, we prove, by using analytic tools of classical Hamiltonian systems, the non-integrability of classical string motion. This suggests that string dynamics in circular supertube geometries exhibit a regime of chaotic behaviour.

11.807881

10.040221

11.996093

10.471306

11.809612

10.784154

10.60374

10.10041

10.294824

14.077822

9.671414

10.995071

11.631395

10.897627

11.131175

11.388701

10.861527

11.052077

10.553264

11.440142

10.443278

1101.0026

Nemanja Kaloper

Nemanja Kaloper, Albion Lawrence and Lorenzo Sorbo

An Ignoble Approach to Large Field Inflation

39 pages LaTeX with bibtex, 5 .eps figures

JCAP 1103:023,2011

10.1088/1475-7516/2011/03/023

null

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

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

We study an inflationary model developed by Kaloper and Sorbo, in which the inflaton is an axion with a sub-Planckian decay constant, whose potential is generated by mixing with a topological 4-form field strength. This gives a 4d construction of "axion monodromy inflation": the axion winds many times over the course of inflation and draws energy from the 4-form. The classical theory is equivalent to chaotic inflation with a quadratic inflaton potential. Such models can produce "high scale" inflation driven by energy densities of the order of $(10^{16}\ GeV)^4$, which produces primordial gravitational waves potentially accessible to CMB polarization experiments. We analyze the possible corrections to this scenario from the standpoint of 4d effective field theory, identifying the physics which potentially suppresses dangerous corrections to the slow-roll potential. This yields a constraint relation between the axion decay constant, the inflaton mass, and the 4-form charge. We show how these models can evade the fundamental constraints which typically make high-scale inflation difficult to realize. Specifically, the moduli coupling to the axion-four-form sector must have masses higher than the inflationary Hubble scale ($\la\ 10^{14}\ GeV$). There are also constraints from states that become light due to multiple windings of the axion, as happens in explicit string theory constructions of this scenario. Further, such models generally have a quantum-mechanical "tunneling mode" in which the axion jumps between windings, which must be suppressed. Finally, we outline possible observational signatures.

[ { "created": "Thu, 30 Dec 2010 01:21:45 GMT", "version": "v1" } ]

2011-03-18

[ [ "Kaloper", "Nemanja", "" ], [ "Lawrence", "Albion", "" ], [ "Sorbo", "Lorenzo", "" ] ]

We study an inflationary model developed by Kaloper and Sorbo, in which the inflaton is an axion with a sub-Planckian decay constant, whose potential is generated by mixing with a topological 4-form field strength. This gives a 4d construction of "axion monodromy inflation": the axion winds many times over the course of inflation and draws energy from the 4-form. The classical theory is equivalent to chaotic inflation with a quadratic inflaton potential. Such models can produce "high scale" inflation driven by energy densities of the order of $(10^{16}\ GeV)^4$, which produces primordial gravitational waves potentially accessible to CMB polarization experiments. We analyze the possible corrections to this scenario from the standpoint of 4d effective field theory, identifying the physics which potentially suppresses dangerous corrections to the slow-roll potential. This yields a constraint relation between the axion decay constant, the inflaton mass, and the 4-form charge. We show how these models can evade the fundamental constraints which typically make high-scale inflation difficult to realize. Specifically, the moduli coupling to the axion-four-form sector must have masses higher than the inflationary Hubble scale ($\la\ 10^{14}\ GeV$). There are also constraints from states that become light due to multiple windings of the axion, as happens in explicit string theory constructions of this scenario. Further, such models generally have a quantum-mechanical "tunneling mode" in which the axion jumps between windings, which must be suppressed. Finally, we outline possible observational signatures.

8.900105

8.843707

10.38796

9.058097

9.180817

9.168418

9.002205

9.407341

9.185154

9.900251

8.720554

9.021479

9.018982

9.050239

8.953576

9.196735

8.878882

8.914257

8.928774

9.213607

8.752027

0801.0218

In Yong Park

I. Y. Park

One loop scattering on D-branes

17 pages, 1 figure, refs added and adjusted, minor typos corrected, a version that will appear in EPJC

Eur.Phys.J.C62:783-791,2009

10.1140/epjc/s10052-009-1065-4

null

hep-th

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

We analyze one loop scattering amplitudes of the massless states on a stack of D3-branes. We use the vertex operators that have been obtained in the direct open string analysis developed in arXiv:0708.3452. The method does not have the obstacle of the D9 computation which is associated with the appearance of an $\e$-tensor. The divergence structure is not the same as the D9 brane case. What makes the analysis deviate from the D9 brane case is that the momenta of the states have non-zero components only along the brane directions. We ponder on the possibility that the one-loop divergence may be canceled by adding additional vertex operators at the tree level. We anticipate that they will be "exponentiated" to the free string action, with the resulting action to constitute a non-linear sigma model of the D-brane/AdS geometry.

[ { "created": "Mon, 31 Dec 2007 16:01:00 GMT", "version": "v1" }, { "created": "Tue, 1 Jul 2008 01:09:27 GMT", "version": "v2" }, { "created": "Sat, 2 May 2009 16:17:33 GMT", "version": "v3" } ]

2009-11-05

[ [ "Park", "I. Y.", "" ] ]

We analyze one loop scattering amplitudes of the massless states on a stack of D3-branes. We use the vertex operators that have been obtained in the direct open string analysis developed in arXiv:0708.3452. The method does not have the obstacle of the D9 computation which is associated with the appearance of an $\e$-tensor. The divergence structure is not the same as the D9 brane case. What makes the analysis deviate from the D9 brane case is that the momenta of the states have non-zero components only along the brane directions. We ponder on the possibility that the one-loop divergence may be canceled by adding additional vertex operators at the tree level. We anticipate that they will be "exponentiated" to the free string action, with the resulting action to constitute a non-linear sigma model of the D-brane/AdS geometry.

14.384356

13.413904

13.733489

13.122783

15.047617

14.486257

14.78784

12.98384

12.874176

15.000348

13.301896

13.297688

13.6204

12.972252

13.405438

13.149799

13.007562

13.180249

13.402266

13.764844

13.327546

hep-th/0002061

Sachs

Neil D. Lambert and Ivo Sachs

Non-Abelian Field Theory of stable non-BPS Branes

1 reference added

JHEP 0003 (2000) 028

10.1088/1126-6708/2000/03/028

LPT-ENS 00/03

hep-th

null

We derive the action for the non-abelian field theory living on parallel non-BPS D3-branes in type IIA theory on the orbifold T^4/I_4(-1)^F_L. The classical moduli space for the massless scalars originating in the ``would be'' tachyonic sector shows an interesting structure. In particular, it contains non-abelian flat directions. At a generic point in this branch of the moduli space the scalars corresponding to the the separations of the branes acquire masses and the branes condense. Although these tree level flat directions are removed by quantum corrections we argue that within the loop approximation the branes still condense.

[ { "created": "Tue, 8 Feb 2000 19:16:42 GMT", "version": "v1" }, { "created": "Tue, 21 Mar 2000 10:34:12 GMT", "version": "v2" }, { "created": "Mon, 27 Mar 2000 16:44:30 GMT", "version": "v3" } ]

2009-10-31

[ [ "Lambert", "Neil D.", "" ], [ "Sachs", "Ivo", "" ] ]

We derive the action for the non-abelian field theory living on parallel non-BPS D3-branes in type IIA theory on the orbifold T^4/I_4(-1)^F_L. The classical moduli space for the massless scalars originating in the ``would be'' tachyonic sector shows an interesting structure. In particular, it contains non-abelian flat directions. At a generic point in this branch of the moduli space the scalars corresponding to the the separations of the branes acquire masses and the branes condense. Although these tree level flat directions are removed by quantum corrections we argue that within the loop approximation the branes still condense.

11.268905

11.495154

13.536179

10.455744

11.597178

10.361257

12.140139

10.554564

10.561947

15.079174

11.341582

11.068698

11.538464

10.342499

11.59074

11.290482

10.93915

11.217098

10.457986

11.765779

10.210742

hep-th/9702134

Park Mu In

Mu-In Park and Young-Jai Park

Non-Abelian Proca model based on the improved BFT formalism

Notable improvements in Sec. IV

Int.J.Mod.Phys. A13 (1998) 2179-2199

10.1142/S0217751X98000986

SOGANG-HEP-212-97

hep-th

null

We present the newly improved Batalin-Fradkin-Tyutin (BFT) Hamiltonian formalism and the generalization to the Lagrangian formulation, which provide the much more simple and transparent insight to the usual BFT method, with application to the non-Abelian Proca model which has been an difficult problem in the usual BFT method. The infinite terms of the effectively first class constraints can be made to be the regular power series forms by ingenious choice of $X_{\alpha \beta}$ and $\omega^{\alpha \beta}$-matrices. In this new method, the first class Hamiltonian, which also needs infinite correction terms is obtained simply by replacing the original variables in the original Hamiltonian with the BFT physical variables. Remarkably all the infinite correction terms can be expressed in the compact exponential form. We also show that in our model the Poisson brackets of the BFT physical variables in the extended phase space are the same structure as the Dirac brackets of the original phase space variables. With the help of both our newly developed Lagrangian formulation and Hamilton's equations of motion, we obtain the desired classical Lagrangian corresponding to the first class Hamiltonian which can be reduced to the generalized St\"uckelberg Lagrangian which is non-trivial conjecture in our infinitely many terms involved in Hamiltonian and Lagrangian.

[ { "created": "Mon, 17 Feb 1997 23:33:14 GMT", "version": "v1" }, { "created": "Wed, 19 Mar 1997 06:36:22 GMT", "version": "v2" }, { "created": "Fri, 19 Jun 1998 02:08:09 GMT", "version": "v3" } ]

2009-10-30

[ [ "Park", "Mu-In", "" ], [ "Park", "Young-Jai", "" ] ]

We present the newly improved Batalin-Fradkin-Tyutin (BFT) Hamiltonian formalism and the generalization to the Lagrangian formulation, which provide the much more simple and transparent insight to the usual BFT method, with application to the non-Abelian Proca model which has been an difficult problem in the usual BFT method. The infinite terms of the effectively first class constraints can be made to be the regular power series forms by ingenious choice of $X_{\alpha \beta}$ and $\omega^{\alpha \beta}$-matrices. In this new method, the first class Hamiltonian, which also needs infinite correction terms is obtained simply by replacing the original variables in the original Hamiltonian with the BFT physical variables. Remarkably all the infinite correction terms can be expressed in the compact exponential form. We also show that in our model the Poisson brackets of the BFT physical variables in the extended phase space are the same structure as the Dirac brackets of the original phase space variables. With the help of both our newly developed Lagrangian formulation and Hamilton's equations of motion, we obtain the desired classical Lagrangian corresponding to the first class Hamiltonian which can be reduced to the generalized St\"uckelberg Lagrangian which is non-trivial conjecture in our infinitely many terms involved in Hamiltonian and Lagrangian.

10.618358

10.212364

11.275433

9.771477

10.76616

10.43925

10.534986

10.460826

9.848047

11.523791

10.299169

10.129615

10.565181

10.076733

10.210674

10.101644

10.291392

10.378228

10.316074

10.64158

10.221376

0908.1552

Oswaldo Monteiro Del Cima

Oswaldo M. Del Cima, Daniel H.T. Franco, Olivier Piguet and Manfred Schweda

No parity anomaly in massless QED3: a BPHZL approach

4 pages, no figures, to appear in Physics Letters B

Phys.Lett.B680:108-110,2009

10.1016/j.physletb.2009.08.018

null

hep-th

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

In this letter we call into question the perturbatively parity breakdown at 1-loop for the massless QED_3 frequently claimed in the literature. As long as perturbative quantum field theory is concerned, whether a parity anomaly owing to radiative corrections exists or not will be definitely proved by using a renormalization method independent of any regularization scheme. Such a problem has been investigated in the framework of BPHZL renormalization method, by adopting the Lowenstein-Zimmermann subtraction scheme. The 1-loop parity-odd contribution to the vacuum-polarization tensor is explicitly computed in the framework of the BPHZL renormalization method. It is shown that a Chern-Simons term is generated at that order induced through the infrared subtractions -- which violate parity. We show then that, what is called parity anomaly, is in fact a parity-odd counterterm needed for restauring parity.

[ { "created": "Tue, 11 Aug 2009 17:57:55 GMT", "version": "v1" } ]

2009-10-29

[ [ "Del Cima", "Oswaldo M.", "" ], [ "Franco", "Daniel H. T.", "" ], [ "Piguet", "Olivier", "" ], [ "Schweda", "Manfred", "" ] ]

In this letter we call into question the perturbatively parity breakdown at 1-loop for the massless QED_3 frequently claimed in the literature. As long as perturbative quantum field theory is concerned, whether a parity anomaly owing to radiative corrections exists or not will be definitely proved by using a renormalization method independent of any regularization scheme. Such a problem has been investigated in the framework of BPHZL renormalization method, by adopting the Lowenstein-Zimmermann subtraction scheme. The 1-loop parity-odd contribution to the vacuum-polarization tensor is explicitly computed in the framework of the BPHZL renormalization method. It is shown that a Chern-Simons term is generated at that order induced through the infrared subtractions -- which violate parity. We show then that, what is called parity anomaly, is in fact a parity-odd counterterm needed for restauring parity.

10.312703

9.858003

11.825204

10.062843

9.830721

9.582205

10.284662

9.344939

9.317601

12.214128

9.443194

10.004729

10.225245

10.032447

9.735507

9.831144

9.992771

9.710124

9.918336

10.190928

9.610051

1001.0394

Oren Bergman Dr.

Oren Bergman, Gilad Lifschytz

Branes and massive IIA duals of 3d CFT's

20 pages, 12 figures

JHEP 1004:114,2010

10.1007/JHEP04(2010)114

null

hep-th

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

We describe brane configurations that interpolate between the N=6 AdS4xCP3 background of Type IIA supergravity and the N=0 AdS4xCP3 background of massive Type IIA supergravity. Using the T-dual Type IIB configurations we prove that this leads to unequal Chern-Simons levels in the dual gauge theory, and find the precise relation between the parameters of the gauge theory and the RR fluxes of the background. This provides further evidence for the conjecture of Gaiotto and Tomasiello about the CFT dual of the massive Type IIA background.

[ { "created": "Sun, 3 Jan 2010 18:34:12 GMT", "version": "v1" } ]

2010-05-12

[ [ "Bergman", "Oren", "" ], [ "Lifschytz", "Gilad", "" ] ]

We describe brane configurations that interpolate between the N=6 AdS4xCP3 background of Type IIA supergravity and the N=0 AdS4xCP3 background of massive Type IIA supergravity. Using the T-dual Type IIB configurations we prove that this leads to unequal Chern-Simons levels in the dual gauge theory, and find the precise relation between the parameters of the gauge theory and the RR fluxes of the background. This provides further evidence for the conjecture of Gaiotto and Tomasiello about the CFT dual of the massive Type IIA background.

6.72495

5.691137

8.289603

5.69916

5.857772

6.06012

6.035538

5.75601

5.322652

8.502808

5.542044

6.103251

6.819508

5.990992

5.908327

5.607054

5.823842

5.9368

5.973673

6.811116

5.84657

1906.05979

Jairo Martin Rojas Huaman\'i

Freddy Cachazo and Jairo M. Rojas

Notes on Biadjoint Amplitudes, ${\rm Trop}\,G(3,7)$ and $X(3,7)$ Scattering Equations

13 pages, 1 figure and 6 ancillary files; minor revision

null

10.1007/JHEP04(2020)176

null

hep-th math.CO

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

In these notes we use the recently found relation between facets of tropical Grassmannians and generalizations of Feynman diagrams to compute all "biadjoint amplitudes" for $n=7$ and $k=3$. We also study scattering equations on $X(3,7)$, the configuration space of seven points on $\mathbb{CP}^2$. We prove that the number of solutions is $1272$ in a two-step process. In the first step we obtain $1162$ explicit solutions to high precision using near-soft kinematics. In the second step we compute the matrix of $360\times 360$ biadjoint amplitudes obtained by using the facets of ${\rm Trop}\, G(3,7)$, subtract the result from using the $1162$ solutions and compute the rank of the resulting matrix. The rank turns out to be $110$, which proves that the number of solutions in addition to the $1162$ explicit ones is exactly $110$.

[ { "created": "Fri, 14 Jun 2019 01:38:46 GMT", "version": "v1" }, { "created": "Wed, 13 Nov 2019 18:30:34 GMT", "version": "v2" }, { "created": "Sun, 23 Feb 2020 18:09:32 GMT", "version": "v3" } ]

2020-05-20

[ [ "Cachazo", "Freddy", "" ], [ "Rojas", "Jairo M.", "" ] ]

In these notes we use the recently found relation between facets of tropical Grassmannians and generalizations of Feynman diagrams to compute all "biadjoint amplitudes" for $n=7$ and $k=3$. We also study scattering equations on $X(3,7)$, the configuration space of seven points on $\mathbb{CP}^2$. We prove that the number of solutions is $1272$ in a two-step process. In the first step we obtain $1162$ explicit solutions to high precision using near-soft kinematics. In the second step we compute the matrix of $360\times 360$ biadjoint amplitudes obtained by using the facets of ${\rm Trop}\, G(3,7)$, subtract the result from using the $1162$ solutions and compute the rank of the resulting matrix. The rank turns out to be $110$, which proves that the number of solutions in addition to the $1162$ explicit ones is exactly $110$.

8.105005

8.331437

9.862276

7.602308

7.601176

7.40937

7.598912

7.31548

7.711693

10.398345

7.166835

7.104275

7.751576

7.371098

7.311512

7.555568

7.426291

6.9843

7.343407

7.961202

7.412117

1501.00757

Wu-zhong Guo

Wu-Zhong Guo and Song He

R\'enyi entropy of locally excited states with thermal and boundary effect in 2D CFTs

Published version

JHEP04(2015)099

10.1007/JHEP04(2015)099

null

hep-th

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

We study R\'enyi entropy of locally excited states with considering the thermal and boundary effects respectively in two dimensional conformal field theories (CFTs). Firstly we consider locally excited states obtained by acting primary operators on a thermal state in low temperature limit. The R\'enyi entropy is summation of contribution from thermal effect and local excitation. Secondly, we mainly study the R\'enyi entropy of locally excited states in 2D CFT with a boundary. We show that the evolution of R\'enyi entropy does not depend on the choice of boundary conditions and boundary will change the time evolution of R\'enyi entropy. Moreover, in 2D rational CFTs with a boundary, we show that the R\'enyi entropy always coincides with the log of quantum dimension of the primary operator during some periods of the evolution. We make use of a quasi-particle picture to understand this phenomenon. In terms of quasi-particle interpretation, the boundary behaves as an infinite potential barrier which reflects any energy moving towards the boundary.

[ { "created": "Mon, 5 Jan 2015 03:59:46 GMT", "version": "v1" }, { "created": "Sun, 17 May 2015 08:25:42 GMT", "version": "v2" } ]

2015-05-20

[ [ "Guo", "Wu-Zhong", "" ], [ "He", "Song", "" ] ]

We study R\'enyi entropy of locally excited states with considering the thermal and boundary effects respectively in two dimensional conformal field theories (CFTs). Firstly we consider locally excited states obtained by acting primary operators on a thermal state in low temperature limit. The R\'enyi entropy is summation of contribution from thermal effect and local excitation. Secondly, we mainly study the R\'enyi entropy of locally excited states in 2D CFT with a boundary. We show that the evolution of R\'enyi entropy does not depend on the choice of boundary conditions and boundary will change the time evolution of R\'enyi entropy. Moreover, in 2D rational CFTs with a boundary, we show that the R\'enyi entropy always coincides with the log of quantum dimension of the primary operator during some periods of the evolution. We make use of a quasi-particle picture to understand this phenomenon. In terms of quasi-particle interpretation, the boundary behaves as an infinite potential barrier which reflects any energy moving towards the boundary.

7.157284

7.068214

7.684161

6.642525

6.896879

7.057914

7.228315

6.706605

6.735294

7.986378

6.794835

7.014929

7.169139

6.853961

6.903532

6.923236

6.807468

6.814045

6.889486

7.160251

6.698077

hep-th/9611112

Antoine Van Proeyen

N=2 Supergravity and Special Geometry

9 pages, latex, no figures. Contribution to the workshop "Gauge Theories, Applied Supersymmetry and Quantum Gravity", London Imperial College, july 1996

null

10.1142/9781848160927_0033

KUL-TF-96/23

hep-th

null

The essential elements in the construction of the couplings of vector multiplets to supergravity using the conformal approach are repeated. This approach leads automatically to the basic quantities on which the symplectic transformations, the basic tools for duality transformations, are defined. A recent theorem about the existence of a basis allowing for a prepotential is discussed.

[ { "created": "Thu, 14 Nov 1996 15:54:20 GMT", "version": "v1" } ]

2016-12-21

[ [ "Van Proeyen", "Antoine", "" ] ]

The essential elements in the construction of the couplings of vector multiplets to supergravity using the conformal approach are repeated. This approach leads automatically to the basic quantities on which the symplectic transformations, the basic tools for duality transformations, are defined. A recent theorem about the existence of a basis allowing for a prepotential is discussed.

22.700371

14.59931

20.368837

16.43474

15.005131

15.380907

14.947043

14.812428

15.330845

20.115734

16.752333

15.549839

18.314266

15.841678

15.664061

15.430486

15.642781

15.964277

15.963604

17.598385

16.309244

hep-th/0603176

Horatiu Stefan Nastase

Horatiu Nastase

More on the RHIC fireball and dual black holes

22 pages, 4 figures, latex

null

hep-th hep-ph

null

We revisit the issue of the RHIC ``fireball'' as a dual black hole, and explain some of the details. We discuss the nature of the (black hole) information paradox as a purely field theory (gauge theory) phenomenon and how the paradox can be formulated in exactly the same way for the RHIC fireball and a black hole. We stress the differences between the black holes produced in the gravity dual and the equilibrium situation of the Witten construction for finite temperature AdS-CFT. We analyze the thermodynamics of the fireball, give more arguments why $T_{fireball}\propto m_{\pi}$, including an effective field theory one, and explain what entropy=area/4 means experimentally for the fireball.

[ { "created": "Wed, 22 Mar 2006 21:29:29 GMT", "version": "v1" } ]

2007-05-23

[ [ "Nastase", "Horatiu", "" ] ]

We revisit the issue of the RHIC ``fireball'' as a dual black hole, and explain some of the details. We discuss the nature of the (black hole) information paradox as a purely field theory (gauge theory) phenomenon and how the paradox can be formulated in exactly the same way for the RHIC fireball and a black hole. We stress the differences between the black holes produced in the gravity dual and the equilibrium situation of the Witten construction for finite temperature AdS-CFT. We analyze the thermodynamics of the fireball, give more arguments why $T_{fireball}\propto m_{\pi}$, including an effective field theory one, and explain what entropy=area/4 means experimentally for the fireball.

14.754416

15.29294

15.588357

13.994869

13.941534

14.423895

15.032904

13.706538

14.011362

15.819518

13.29956

13.560198

14.761534

13.811485

13.497181

13.153481

13.291393

13.624968

13.471514

14.098405

13.753742

1210.6348

Jaime Varela

Yasunori Nomura, Jaime Varela, and Sean J. Weinberg

Black Holes, Information, and Hilbert Space for Quantum Gravity

31 pages, 8 figures; minor revisions

null

10.1103/PhysRevD.87.084050

MIT-CTP-4405; UCB-PTH-12/17

hep-th gr-qc

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

A coarse-grained description for the formation and evaporation of a black hole is given within the framework of a unitary theory of quantum gravity preserving locality, without dropping the information that manifests as macroscopic properties of the state at late times. The resulting picture depends strongly on the reference frame one chooses to describe the process. In one description based on a reference frame in which the reference point stays outside the black hole horizon for sufficiently long time, a late black hole state becomes a superposition of black holes in different locations and with different spins, even if the back hole is formed from collapsing matter that had a well-defined classical configuration with no angular momentum. The information about the initial state is partly encoded in relative coefficients---especially phases---of the terms representing macroscopically different geometries. In another description in which the reference point enters into the black hole horizon at late times, an S-matrix description in the asymptotically Minkowski spacetime is not applicable, but it sill allows for an "S-matrix" description in the full quantum gravitational Hilbert space including singularity states. Relations between different descriptions are given by unitary transformations acting on the full Hilbert space, and they in general involve superpositions of "distant" and "infalling" descriptions. Despite the intrinsically quantum mechanical nature of the black hole state, measurements performed by a classical physical observer are consistent with those implied by general relativity. In particular, the recently-considered firewall phenomenon can occur only for an exponentially fine-tuned (and intrinsically quantum mechanical) initial state, analogous to an entropy decreasing process in a system with large degrees of freedom.

[ { "created": "Tue, 23 Oct 2012 20:00:00 GMT", "version": "v1" }, { "created": "Sat, 8 Dec 2012 22:33:47 GMT", "version": "v2" }, { "created": "Fri, 29 Mar 2013 20:11:28 GMT", "version": "v3" } ]

2013-04-24

[ [ "Nomura", "Yasunori", "" ], [ "Varela", "Jaime", "" ], [ "Weinberg", "Sean J.", "" ] ]

A coarse-grained description for the formation and evaporation of a black hole is given within the framework of a unitary theory of quantum gravity preserving locality, without dropping the information that manifests as macroscopic properties of the state at late times. The resulting picture depends strongly on the reference frame one chooses to describe the process. In one description based on a reference frame in which the reference point stays outside the black hole horizon for sufficiently long time, a late black hole state becomes a superposition of black holes in different locations and with different spins, even if the back hole is formed from collapsing matter that had a well-defined classical configuration with no angular momentum. The information about the initial state is partly encoded in relative coefficients---especially phases---of the terms representing macroscopically different geometries. In another description in which the reference point enters into the black hole horizon at late times, an S-matrix description in the asymptotically Minkowski spacetime is not applicable, but it sill allows for an "S-matrix" description in the full quantum gravitational Hilbert space including singularity states. Relations between different descriptions are given by unitary transformations acting on the full Hilbert space, and they in general involve superpositions of "distant" and "infalling" descriptions. Despite the intrinsically quantum mechanical nature of the black hole state, measurements performed by a classical physical observer are consistent with those implied by general relativity. In particular, the recently-considered firewall phenomenon can occur only for an exponentially fine-tuned (and intrinsically quantum mechanical) initial state, analogous to an entropy decreasing process in a system with large degrees of freedom.

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11.1972

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11.327922

hep-th/0205114

J. K. Slingerland

F.A. Bais, B.J. Schroers and J.K. Slingerland

Hopf symmetry breaking and confinement in (2+1)-dimensional gauge theory

57 pages, 2 figures, LaTeX

JHEP 0305 (2003) 068

10.1088/1126-6708/2003/05/068

ITFA-2002-13, EMPG-02-08, HWM-02-16

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

null

Gauge theories in 2+1 dimensions whose gauge symmetry is spontaneously broken to a finite group enjoy a quantum group symmetry which includes the residual gauge symmetry. This symmetry provides a framework in which fundamental excitations (electric charges) and topological excitations (magnetic fluxes) can be treated on equal footing. In order to study symmetry breaking by both electric and magnetic condensates we develop a theory of symmetry breaking which is applicable to models whose symmetry is described by a quantum group (quasitriangular Hopf algebra). Using this general framework we investigate the symmetry breaking and confinement phenomena which occur in (2+1)-dimensional gauge theories. Confinement of particles is linked to the formation of string-like defects. Symmetry breaking by an electric condensate leads to magnetic confinement and vice-versa. We illustrate the general formalism with examples where the symmetry is broken by electric, magnetic and dyonic condensates.

[ { "created": "Mon, 13 May 2002 14:57:41 GMT", "version": "v1" } ]

2009-11-07

[ [ "Bais", "F. A.", "" ], [ "Schroers", "B. J.", "" ], [ "Slingerland", "J. K.", "" ] ]

Gauge theories in 2+1 dimensions whose gauge symmetry is spontaneously broken to a finite group enjoy a quantum group symmetry which includes the residual gauge symmetry. This symmetry provides a framework in which fundamental excitations (electric charges) and topological excitations (magnetic fluxes) can be treated on equal footing. In order to study symmetry breaking by both electric and magnetic condensates we develop a theory of symmetry breaking which is applicable to models whose symmetry is described by a quantum group (quasitriangular Hopf algebra). Using this general framework we investigate the symmetry breaking and confinement phenomena which occur in (2+1)-dimensional gauge theories. Confinement of particles is linked to the formation of string-like defects. Symmetry breaking by an electric condensate leads to magnetic confinement and vice-versa. We illustrate the general formalism with examples where the symmetry is broken by electric, magnetic and dyonic condensates.

6.293312

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6.164145

5.694017

5.767319

5.776825

5.792667

5.664947

5.843809

6.288376

5.675973

hep-th/0204083

Ysmyung

H. W. Lee, Y. S. Myung (Inje Univ)

Dynamical Behavior of dilaton in de Sitter space

11 pages, reference added and a version to appear in PLB

Phys.Lett. B537 (2002) 117-124

10.1016/S0370-2693(02)01880-4

INJE-TP-02-02

hep-th

null

We study the dynamical behavior of the dilaton in the background of three-dimensional Kerr-de Sitter space which is inspired from the low-energy string effective action. The perturbation analysis around the cosmological horizon of Kerr-de Sitter space reveals a mixing between the dilaton and other fields. Introducing a gauge (dilaton gauge), we can disentangle this mixing completely and obtain one decoupled dilaton equation. However it turns out that this belongs to the tachyon. The stability of de Sitter solution with J=0 is discussed. Finally we compute the dilaton absorption cross section to extract information on the cosmological horizon of de Sitter space.

[ { "created": "Wed, 10 Apr 2002 01:08:29 GMT", "version": "v1" }, { "created": "Sat, 27 Apr 2002 01:33:08 GMT", "version": "v2" } ]

2009-11-07

[ [ "Lee", "H. W.", "", "Inje Univ" ], [ "Myung", "Y. S.", "", "Inje Univ" ] ]

We study the dynamical behavior of the dilaton in the background of three-dimensional Kerr-de Sitter space which is inspired from the low-energy string effective action. The perturbation analysis around the cosmological horizon of Kerr-de Sitter space reveals a mixing between the dilaton and other fields. Introducing a gauge (dilaton gauge), we can disentangle this mixing completely and obtain one decoupled dilaton equation. However it turns out that this belongs to the tachyon. The stability of de Sitter solution with J=0 is discussed. Finally we compute the dilaton absorption cross section to extract information on the cosmological horizon of de Sitter space.

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10.167327

9.593239

1701.00998

Arutyunov Gleb E

Gleb Arutyunov, Sergey Frolov, Rob Klabbers and Sergei Savin

Towards 4-point correlation functions of any 1/2-BPS operators from supergravity

12 pages

null

10.1007/JHEP04(2017)005

TCD-MATH-17-01, ZMP-HH-17-01

hep-th

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

The quartic effective action for Kaluza-Klein modes that arises upon compactification of type IIB supergravity on the five-sphere S^5 is a starting point for computing the four-point correlation functions of arbitrary weight 1/2-BPS operators in N=4 super Yang-Mills theory in the supergravity approximation. The apparent structure of this action is rather involved, in particular it contains quartic terms with four derivatives which cannot be removed by field redefinitions. By exhibiting intricate identities between certain integrals involving spherical harmonics of S^5 we show that the net contribution of these four-derivative terms to the effective action vanishes. Our result is in agreement with and provides further support to the recent conjecture on the Mellin space representation of the four-point correlation function of any 1/2-BPS operators in the supergravity approximation.

[ { "created": "Wed, 4 Jan 2017 13:25:07 GMT", "version": "v1" } ]

2017-04-26

[ [ "Arutyunov", "Gleb", "" ], [ "Frolov", "Sergey", "" ], [ "Klabbers", "Rob", "" ], [ "Savin", "Sergei", "" ] ]

The quartic effective action for Kaluza-Klein modes that arises upon compactification of type IIB supergravity on the five-sphere S^5 is a starting point for computing the four-point correlation functions of arbitrary weight 1/2-BPS operators in N=4 super Yang-Mills theory in the supergravity approximation. The apparent structure of this action is rather involved, in particular it contains quartic terms with four derivatives which cannot be removed by field redefinitions. By exhibiting intricate identities between certain integrals involving spherical harmonics of S^5 we show that the net contribution of these four-derivative terms to the effective action vanishes. Our result is in agreement with and provides further support to the recent conjecture on the Mellin space representation of the four-point correlation function of any 1/2-BPS operators in the supergravity approximation.

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6.452457

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6.450719

6.41044

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6.314873

6.787767

6.240193

1401.0004

Yu-Xiao Liu

Yuan Zhong, Yu-Xiao Liu, Zhen-Hua Zhao

Non-perturbative procedure for stable $K$-brane

7 pages, 3 figures

Phys. Rev. D 89, 104034 (2014)

10.1103/PhysRevD.89.104034

null

hep-th gr-qc

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

We propose a novel first-order formalism for a type of $K$-brane systems. An example solution is presented and studied. We illustrate how the noncanonical kinetic term can affect the properties of the model, such as the stability of the solutions, the localization of fermion and graviton. We argue that our solution is stable against linear perturbations. The tensor zero mode of graviton can be localized while the scalar zero mode cannot. The localization condition for fermion is also discussed.

[ { "created": "Mon, 30 Dec 2013 21:00:02 GMT", "version": "v1" } ]

2014-05-28

[ [ "Zhong", "Yuan", "" ], [ "Liu", "Yu-Xiao", "" ], [ "Zhao", "Zhen-Hua", "" ] ]

We propose a novel first-order formalism for a type of $K$-brane systems. An example solution is presented and studied. We illustrate how the noncanonical kinetic term can affect the properties of the model, such as the stability of the solutions, the localization of fermion and graviton. We argue that our solution is stable against linear perturbations. The tensor zero mode of graviton can be localized while the scalar zero mode cannot. The localization condition for fermion is also discussed.

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