LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

2311.10131

Alexander Frenkel

Entanglement Edge Modes of General Noncommutative Matrix Backgrounds

35 pages, 11 figures, one appendix

null

hep-th

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

We explore the structure of entanglement edge modes on noncommutative backgrounds that arise from matrix quantum mechanics. For the fuzzy sphere, despite nonlocality and UV/IR mixing, we find area law behavior in the dominant $U(N)$ representations governing the state of the edge modes. For general noncommutative backgrounds with no global symmetry, nonlocal effects resum into a smoothly varying coupling constant that deforms the metric to a different frame. The effect is analogous to the relationship between string frame and Einstein frame in string theory.

[ { "created": "Thu, 16 Nov 2023 19:00:00 GMT", "version": "v1" } ]

2023-11-20

[ [ "Frenkel", "Alexander", "" ] ]

We explore the structure of entanglement edge modes on noncommutative backgrounds that arise from matrix quantum mechanics. For the fuzzy sphere, despite nonlocality and UV/IR mixing, we find area law behavior in the dominant $U(N)$ representations governing the state of the edge modes. For general noncommutative backgrounds with no global symmetry, nonlocal effects resum into a smoothly varying coupling constant that deforms the metric to a different frame. The effect is analogous to the relationship between string frame and Einstein frame in string theory.

16.268673

14.988432

17.066214

14.599098

15.160416

14.582566

14.925694

14.3318

14.28318

18.454039

14.199406

15.720421

16.319008

15.193347

14.182673

14.957788

15.733469

14.897229

14.519589

16.18812

14.520631

hep-th/0506053

Andreas Karch

Andreas Karch, Lisa Randall

Relaxing to Three Dimensions

4 pages; minor improvements, references added

Phys.Rev.Lett.95:161601,2005

10.1103/PhysRevLett.95.161601

HUTP-05/A0029, UW/PT-05-14

hep-th

null

We propose a new selection principle for distinguishing among possible vacua that we call the "relaxation principle". The idea is that the universe will naturally select among possible vacua through its cosmological evolution, and the configuration with the biggest filling fraction is the likeliest. We apply this idea to the question of the number of dimensions of space. We show that under conventional (but higher-dimensional) FRW evolution, a universe filled with equal numbers of branes and antibranes will naturally come to be dominated by 3-branes and 7-branes. We show why this might help explain the number of dimensions that are experienced in our visible universe.

[ { "created": "Mon, 6 Jun 2005 20:35:32 GMT", "version": "v1" }, { "created": "Wed, 31 Aug 2005 19:25:36 GMT", "version": "v2" } ]

2008-11-26

[ [ "Karch", "Andreas", "" ], [ "Randall", "Lisa", "" ] ]

We propose a new selection principle for distinguishing among possible vacua that we call the "relaxation principle". The idea is that the universe will naturally select among possible vacua through its cosmological evolution, and the configuration with the biggest filling fraction is the likeliest. We apply this idea to the question of the number of dimensions of space. We show that under conventional (but higher-dimensional) FRW evolution, a universe filled with equal numbers of branes and antibranes will naturally come to be dominated by 3-branes and 7-branes. We show why this might help explain the number of dimensions that are experienced in our visible universe.

11.226452

11.813386

11.133448

10.344001

11.648088

11.023154

10.574097

11.008759

10.95894

12.074549

11.01117

10.662802

11.317725

10.698653

10.843747

10.985276

10.884913

10.607434

11.028367

11.179328

10.726485

2304.04878

Kazuhiro Sakai

E-strings, $F_4$, and $D_4$ triality

40 pages, v2: a footnote and references added

null

10.1007/JHEP07(2023)192

null

hep-th

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

We study the E-string theory on $\mathbb{R}^4\times T^2$ with Wilson lines. We consider two examples where interesting automorphisms arise. In the first example, the spectrum is invariant under the $F_4$ Weyl group acting on the Wilson line parameters. We obtain the Seiberg-Witten curve expressed in terms of Weyl invariant $F_4$ Jacobi forms. We also clarify how it is related to the thermodynamic limit of the Nekrasov-type formula. In the second example, the spectrum is invariant under the $D_4$ triality combined with modular transformations, the automorphism originally found in the 4d $\mathcal{N}=2$ supersymmetric $\mathrm{SU}(2)$ gauge theory with four massive flavors. We introduce the notion of triality invariant Jacobi forms and present the Seiberg-Witten curve in terms of them. We show that this Seiberg-Witten curve reduces precisely to that of the 4d theory with four flavors in the limit of $T^2$ shrinking to zero size.

[ { "created": "Mon, 10 Apr 2023 21:58:00 GMT", "version": "v1" }, { "created": "Mon, 17 Apr 2023 22:13:29 GMT", "version": "v2" } ]

2023-08-09

[ [ "Sakai", "Kazuhiro", "" ] ]

We study the E-string theory on $\mathbb{R}^4\times T^2$ with Wilson lines. We consider two examples where interesting automorphisms arise. In the first example, the spectrum is invariant under the $F_4$ Weyl group acting on the Wilson line parameters. We obtain the Seiberg-Witten curve expressed in terms of Weyl invariant $F_4$ Jacobi forms. We also clarify how it is related to the thermodynamic limit of the Nekrasov-type formula. In the second example, the spectrum is invariant under the $D_4$ triality combined with modular transformations, the automorphism originally found in the 4d $\mathcal{N}=2$ supersymmetric $\mathrm{SU}(2)$ gauge theory with four massive flavors. We introduce the notion of triality invariant Jacobi forms and present the Seiberg-Witten curve in terms of them. We show that this Seiberg-Witten curve reduces precisely to that of the 4d theory with four flavors in the limit of $T^2$ shrinking to zero size.

4.97406

4.862525

5.42069

4.937286

4.895694

4.982732

5.076121

4.838385

4.995372

5.618929

4.870397

4.70175

5.110868

4.83451

4.807831

4.729386

4.734072

4.657638

4.803239

5.090744

4.757712

hep-th/9205103

null

Leonardo Castellani

Gauge theories of quantum groups

12 pages, DFTT-19/92

Phys.Lett. B292 (1992) 93-98

10.1016/0370-2693(92)90613-9

null

hep-th

null

We find two different q-generalizations of Yang-Mills theories. The corresponding lagrangians are invariant under the q-analogue of infinitesimal gauge transformations. We explicitly give the lagrangian and the transformation rules for the bicovariant q-deformation of $SU(2) \times U(1)$. The gauge potentials satisfy q-commutations, as one expects from the differential geometry of quantum groups. However, in one of the two schemes we present, the field strengths do commute.

[ { "created": "Thu, 28 May 1992 11:26:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "Castellani", "Leonardo", "" ] ]

We find two different q-generalizations of Yang-Mills theories. The corresponding lagrangians are invariant under the q-analogue of infinitesimal gauge transformations. We explicitly give the lagrangian and the transformation rules for the bicovariant q-deformation of $SU(2) \times U(1)$. The gauge potentials satisfy q-commutations, as one expects from the differential geometry of quantum groups. However, in one of the two schemes we present, the field strengths do commute.

9.741421

9.129586

10.270423

8.498308

7.57712

9.193692

8.159852

8.298623

8.21577

8.996476

8.971124

8.418578

8.909584

8.315343

8.762468

8.757424

8.892138

8.797726

8.522487

9.28539

8.552689

2109.07187

Ronnie Rodgers

Ronnie Rodgers, Enea Mauri, Umut G\"ursoy, Henk T. C. Stoof

Thermodynamics and transport of holographic nodal line semimetals

48 pages + appendices, 38 figure files

null

10.1007/JHEP11(2021)191

null

hep-th cond-mat.str-el

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

We study various thermodynamic and transport properties of a holographic model of a nodal line semimetal (NLSM) at finite temperature, including the quantum phase transition to a topologically trivial phase, with Dirac semimetal-like conductivity. At zero temperature, composite fermion spectral functions obtained from holography are known to exhibit multiple Fermi surfaces. Similarly, for the holographic NLSM we observe multiple nodal lines instead of just one. We show, however, that as the temperature is raised these nodal lines broaden and disappear into the continuum one by one, so there is a finite range of temperatures for which there is only a single nodal line visible in the spectrum. We compute several transport coefficients in the holographic NLSM as a function of temperature, namely the charge and thermal conductivities, and the shear viscosities. By adding a new non-linear coupling to the model we are able to control the low frequency limit of the electrical conductivity in the direction orthogonal to the plane of the nodal line, allowing us to better match the conductivity of real NLSMs. The boundary quantum field theory is anisotropic and therefore has explicitly broken Lorentz invariance, which leads to a stress tensor that is not symmetric. This has important consequences for the energy and momentum transport: the thermal conductivity at vanishing charge density is not simply fixed by a Ward identity, and there are a much larger number of independent shear viscosities than in a Lorentz-invariant system.

[ { "created": "Wed, 15 Sep 2021 10:04:02 GMT", "version": "v1" } ]

2021-12-08

[ [ "Rodgers", "Ronnie", "" ], [ "Mauri", "Enea", "" ], [ "Gürsoy", "Umut", "" ], [ "Stoof", "Henk T. C.", "" ] ]

We study various thermodynamic and transport properties of a holographic model of a nodal line semimetal (NLSM) at finite temperature, including the quantum phase transition to a topologically trivial phase, with Dirac semimetal-like conductivity. At zero temperature, composite fermion spectral functions obtained from holography are known to exhibit multiple Fermi surfaces. Similarly, for the holographic NLSM we observe multiple nodal lines instead of just one. We show, however, that as the temperature is raised these nodal lines broaden and disappear into the continuum one by one, so there is a finite range of temperatures for which there is only a single nodal line visible in the spectrum. We compute several transport coefficients in the holographic NLSM as a function of temperature, namely the charge and thermal conductivities, and the shear viscosities. By adding a new non-linear coupling to the model we are able to control the low frequency limit of the electrical conductivity in the direction orthogonal to the plane of the nodal line, allowing us to better match the conductivity of real NLSMs. The boundary quantum field theory is anisotropic and therefore has explicitly broken Lorentz invariance, which leads to a stress tensor that is not symmetric. This has important consequences for the energy and momentum transport: the thermal conductivity at vanishing charge density is not simply fixed by a Ward identity, and there are a much larger number of independent shear viscosities than in a Lorentz-invariant system.

7.223184

7.19837

7.859712

7.079936

6.994031

7.393691

7.265152

6.966945

7.251151

7.797374

6.728289

6.909237

7.451341

6.901957

6.962907

6.819547

7.083879

6.967859

6.83222

7.169678

6.936734

2106.09735

Anayeli Ramirez

AdS$_2$ geometries and non-Abelian T-duality in non-compact spaces

30 pages, 6 figures, minor improvements

null

10.1007/JHEP10(2021)020

null

hep-th

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

We obtain an AdS$_{2}$ solution to Type IIA supergravity with 4 Poincare supersymmetries, via non-Abelian T-duality with respect to a freely acting SL(2,$\mathbf{R}$) isometry group, operating on the AdS$_3\times$S$^3\times$CY$_2$ solution to Type IIB. That is, non-Abelian T-duality on AdS$_3$. The dual background obtained fits in the class of AdS$_2\times$S$^3\times$CY$_2$ solutions to massive Type IIA constructed in [1]. We propose and study a quiver quantum mechanics dual to this solution that we interpret as describing the backreaction of the baryon vertex of a D4-D8 brane intersection.

[ { "created": "Thu, 17 Jun 2021 18:00:03 GMT", "version": "v1" }, { "created": "Tue, 22 Jun 2021 10:35:47 GMT", "version": "v2" } ]

2022-01-06

[ [ "Ramirez", "Anayeli", "" ] ]

We obtain an AdS$_{2}$ solution to Type IIA supergravity with 4 Poincare supersymmetries, via non-Abelian T-duality with respect to a freely acting SL(2,$\mathbf{R}$) isometry group, operating on the AdS$_3\times$S$^3\times$CY$_2$ solution to Type IIB. That is, non-Abelian T-duality on AdS$_3$. The dual background obtained fits in the class of AdS$_2\times$S$^3\times$CY$_2$ solutions to massive Type IIA constructed in [1]. We propose and study a quiver quantum mechanics dual to this solution that we interpret as describing the backreaction of the baryon vertex of a D4-D8 brane intersection.

5.81933

4.768158

6.648587

5.163463

5.621867

5.220218

5.426033

4.884857

5.113059

7.03792

5.18894

5.538592

6.108196

5.603484

5.50011

5.549415

5.523339

5.488138

5.661876

6.137134

5.760668

1104.5241

Pavel Bolokhov

Pavel A. Bolokhov, Mikhail Shifman and Alexei Yung

BPS Spectrum of Supersymmetric CP(N-1) Theory with Z_N Twisted Masses

40 pages, 14 figures; minor corrections

null

10.1103/PhysRevD.84.085004

FTPI-MINN-11/09, UMN-TH-2942/11

hep-th hep-ph

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

We revisit the BPS spectrum of the supersymmetric CP(N-1) two-dimensional model with Z_N-symmetric twisted masses m_l (l=0,1, ..., N-1). A related issue we address is that of the curves of marginal stability (CMS) in this theory. Previous analyses were incomplete. We close the gap by exploiting a number of consistency conditions. In particular, we amend the Dorey formula for the BPS spectrum. Our analysis is based on the exact Veneziano--Yankielowicz-type superpotential and on the strong-coupling spectrum of the theory found from the mirror representation at small masses, |m_l| << \Lambda . We show that at weak coupling the spectrum, with necessity, must include N-1 BPS towers of states, instead of just one, as was thought before. Only one of the towers is seen in the quasiclassical limit. We find the corresponding CMS for these towers, and argue that in the large-N limit they become circles, filling out a band on the plane of a single mass parameter of the model at hand. Inside the CMS, N-1 towers collapse into N stable states.

[ { "created": "Wed, 27 Apr 2011 20:26:54 GMT", "version": "v1" }, { "created": "Thu, 1 Sep 2011 16:04:26 GMT", "version": "v2" } ]

2013-05-29

[ [ "Bolokhov", "Pavel A.", "" ], [ "Shifman", "Mikhail", "" ], [ "Yung", "Alexei", "" ] ]

We revisit the BPS spectrum of the supersymmetric CP(N-1) two-dimensional model with Z_N-symmetric twisted masses m_l (l=0,1, ..., N-1). A related issue we address is that of the curves of marginal stability (CMS) in this theory. Previous analyses were incomplete. We close the gap by exploiting a number of consistency conditions. In particular, we amend the Dorey formula for the BPS spectrum. Our analysis is based on the exact Veneziano--Yankielowicz-type superpotential and on the strong-coupling spectrum of the theory found from the mirror representation at small masses, |m_l| << \Lambda . We show that at weak coupling the spectrum, with necessity, must include N-1 BPS towers of states, instead of just one, as was thought before. Only one of the towers is seen in the quasiclassical limit. We find the corresponding CMS for these towers, and argue that in the large-N limit they become circles, filling out a band on the plane of a single mass parameter of the model at hand. Inside the CMS, N-1 towers collapse into N stable states.

11.541708

11.404279

13.871692

11.262491

12.006852

11.642364

11.484963

10.708598

11.229056

14.744857

11.688786

11.261938

12.069936

10.96727

11.017494

11.305749

11.238739

11.047901

11.294934

11.632718

10.74727

hep-th/9903075

Takao Koikawa

Soliton formulation by Moyal algebra

9 pages

Prog.Theor.Phys. 102 (1999) 29-35

10.1143/PTP.102.29

null

hep-th

null

We formulate the soliton equations on the lattice in terms of the reduced Moyal algebra which includes one parameter. The vanishing limit of the parameter leads to the continuous soliton equations.

[ { "created": "Tue, 9 Mar 1999 11:05:53 GMT", "version": "v1" } ]

2009-10-31

[ [ "Koikawa", "Takao", "" ] ]

We formulate the soliton equations on the lattice in terms of the reduced Moyal algebra which includes one parameter. The vanishing limit of the parameter leads to the continuous soliton equations.

16.520975

15.001892

20.288687

14.477835

13.713031

14.802359

11.78501

13.035263

13.155886

16.838036

13.521222

13.906704

15.164103

13.914289

13.406796

13.122468

13.523768

13.354443

14.323492

14.921899

13.703094

2306.04380

Seckin Kurkcuoglu

S. K\"urk\c{c}\"uo\u{g}lu, B. \"Ozcan, G. \"Unal

Non-Abelian Magnetic Field and Curvature Effects on Pair Production

Corrected typos, added a figure, 44 pages, 10 figures

null

hep-th

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

We calculate the Schwinger pair production rates in $\mathbb{R}^{3,1}$ as well as in the positively curved space $S^2 \times \mathbb{R}^{1,1}$ for both spin-$0$ and spin-$\frac{1}{2}$ particles under the influence of an external $SU(2) \times U(1)$ gauge field producing an additional uniform non-abelian magnetic field besides the usual uniform abelian electric field. To this end, we determine and subsequently make use of the spectrum of the gauged Laplace and Dirac operators on both the flat and the curved geometries. We find that there are regimes in which the purely non-abelian and the abelian parts of the gauge field strength have either a counterplaying or reinforcing role, whose overall effect may be to enhance or suppress the pair production rates. Positive curvature tends to enhance the latter for spin-$0$ and suppress it for spin-$\frac{1}{2}$ fields, while the details of the couplings to the purely abelian and the non-abelian parts of the magnetic field, which are extracted from the spectrum of the Laplace and Dirac operators on $S^2$, determine the cumulative effect on the pair production rates. These features are elaborated in detail.

[ { "created": "Wed, 7 Jun 2023 12:23:52 GMT", "version": "v1" }, { "created": "Sun, 30 Jul 2023 18:18:34 GMT", "version": "v2" } ]

2023-08-01

[ [ "Kürkçüoğlu", "S.", "" ], [ "Özcan", "B.", "" ], [ "Ünal", "G.", "" ] ]

We calculate the Schwinger pair production rates in $\mathbb{R}^{3,1}$ as well as in the positively curved space $S^2 \times \mathbb{R}^{1,1}$ for both spin-$0$ and spin-$\frac{1}{2}$ particles under the influence of an external $SU(2) \times U(1)$ gauge field producing an additional uniform non-abelian magnetic field besides the usual uniform abelian electric field. To this end, we determine and subsequently make use of the spectrum of the gauged Laplace and Dirac operators on both the flat and the curved geometries. We find that there are regimes in which the purely non-abelian and the abelian parts of the gauge field strength have either a counterplaying or reinforcing role, whose overall effect may be to enhance or suppress the pair production rates. Positive curvature tends to enhance the latter for spin-$0$ and suppress it for spin-$\frac{1}{2}$ fields, while the details of the couplings to the purely abelian and the non-abelian parts of the magnetic field, which are extracted from the spectrum of the Laplace and Dirac operators on $S^2$, determine the cumulative effect on the pair production rates. These features are elaborated in detail.

5.881082

6.211722

5.742346

5.582781

5.940926

5.958479

6.103803

5.784385

5.587011

6.150136

5.496776

5.629045

5.632382

5.552878

5.511391

5.518036

5.508003

5.583689

5.500495

5.743743

5.624109

2404.07522

Athanasios Bakopoulos

Athanasios Bakopoulos, Nikos Chatzifotis, Thanasis Karakasis

Thermodynamics of black holes featuring primary scalar hair

8 pages, 1 figure

null

hep-th astro-ph.HE gr-qc

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

In this work, we embark on the thermodynamic investigation concerning a family of primary charged black holes within the context of shift and parity symmetric Beyond Horndeski gravity. Employing the Euclidean approach, we derive the functional expression for the free energy and derive the first thermodynamic law, offering a methodology to address the challenge of extracting the thermal quantities in shift-symmetric scalar tensor theories characterized by linear time dependence in the scalar field. Following the formal analysis, we provide some illustrative examples focusing on the thermal evaporation of these fascinating objects.

[ { "created": "Thu, 11 Apr 2024 07:29:43 GMT", "version": "v1" } ]

2024-04-12

[ [ "Bakopoulos", "Athanasios", "" ], [ "Chatzifotis", "Nikos", "" ], [ "Karakasis", "Thanasis", "" ] ]

In this work, we embark on the thermodynamic investigation concerning a family of primary charged black holes within the context of shift and parity symmetric Beyond Horndeski gravity. Employing the Euclidean approach, we derive the functional expression for the free energy and derive the first thermodynamic law, offering a methodology to address the challenge of extracting the thermal quantities in shift-symmetric scalar tensor theories characterized by linear time dependence in the scalar field. Following the formal analysis, we provide some illustrative examples focusing on the thermal evaporation of these fascinating objects.

17.868177

17.100716

14.083078

13.42978

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15.389431

17.208977

13.515504

15.661366

14.874689

15.970155

16.294296

15.110888

15.386349

16.109739

15.843392

16.626284

15.605092

15.596443

15.470348

15.404548

hep-th/0109037

Marcelo de Moura Leite

Marcelo M. Leite

New renormalization group approach and scaling laws for the Lifshitz critical behavior

Revtex, 12 pages, one reference added, some typos fixed, comparison with other treatments clarified, results unchanged

null

hep-th

null

A new renormalization group treatment is proposed for the critical exponents of an m-fold Lifshitz point. The anisotropic cases (m not equal 8) are described by two independent fixed points associated to two independent momentum flow along the quadratic and quartic directions, respectively. The isotropic case is described separately. In that case, the fixed point is due to renormalization group transformations along the quartic directions. The new scaling laws are derived for both cases and generalize the ones previously reported.

[ { "created": "Wed, 5 Sep 2001 17:34:18 GMT", "version": "v1" }, { "created": "Tue, 27 Nov 2001 19:10:18 GMT", "version": "v2" }, { "created": "Tue, 6 Aug 2002 02:02:47 GMT", "version": "v3" } ]

2007-05-23

[ [ "Leite", "Marcelo M.", "" ] ]

A new renormalization group treatment is proposed for the critical exponents of an m-fold Lifshitz point. The anisotropic cases (m not equal 8) are described by two independent fixed points associated to two independent momentum flow along the quadratic and quartic directions, respectively. The isotropic case is described separately. In that case, the fixed point is due to renormalization group transformations along the quartic directions. The new scaling laws are derived for both cases and generalize the ones previously reported.

13.03635

16.822126

15.639832

13.147298

14.365271

16.013594

14.517541

14.057132

13.102091

15.495743

14.217829

13.058365

13.160472

13.377571

13.432946

13.218273

13.255276

12.951961

13.352052

13.921379

13.204873

hep-th/0511032

Andrea Quadri

Ruggero Ferrari, Andrea Quadri (Universita' degli Studi di Milano & INFN, Sez. di Milano)

Renormalization of the Non-Linear Sigma Model in Four Dimensions. A two-loop example

Latex, 3 figures, 19 pages

JHEP0601:003,2006

10.1088/1126-6708/2006/01/003

IFUM-852-FT

hep-th

null

The renormalization procedure of the non-linear SU(2) sigma model in D=4 proposed in hep-th/0504023 and hep-th/0506220 is here tested in a truly non-trivial case where the non-linearity of the functional equation is crucial. The simplest example, where the non-linear term contributes, is given by the two-loop amplitude involving the insertion of two \phi_0 (the constraint of the non-linear sigma model) and two flat connections. In this case we verify the validity of the renormalization procedure: the recursive subtraction of the pole parts at D=4 yields amplitudes that satisfy the defining functional equation. As a by-product we give a formal proof that in D dimensions (without counterterms) the Feynman rules provide a perturbative symmetric solution.

[ { "created": "Thu, 3 Nov 2005 09:14:49 GMT", "version": "v1" } ]

2009-11-11

[ [ "Ferrari", "Ruggero", "", "Universita' degli Studi di Milano &\n INFN, Sez. di Milano" ], [ "Quadri", "Andrea", "", "Universita' degli Studi di Milano &\n INFN, Sez. di Milano" ] ]

The renormalization procedure of the non-linear SU(2) sigma model in D=4 proposed in hep-th/0504023 and hep-th/0506220 is here tested in a truly non-trivial case where the non-linearity of the functional equation is crucial. The simplest example, where the non-linear term contributes, is given by the two-loop amplitude involving the insertion of two \phi_0 (the constraint of the non-linear sigma model) and two flat connections. In this case we verify the validity of the renormalization procedure: the recursive subtraction of the pole parts at D=4 yields amplitudes that satisfy the defining functional equation. As a by-product we give a formal proof that in D dimensions (without counterterms) the Feynman rules provide a perturbative symmetric solution.

11.176532

12.595088

12.193307

11.242486

11.476249

11.81653

11.573617

10.87913

11.038626

13.095148

10.806376

10.6547

11.325902

11.052373

11.078988

10.536084

10.686127

10.99451

10.824149

11.539765

10.486724

2206.06002

David Vercauteren

D. Dudal, D.M. van Egmond, U. Reinosa, D. Vercauteren

Polyakov loop, gluon mass, gluon condensate and its asymmetry near deconfinement

31 pages, 12 figures

null

10.1103/PhysRevD.106.054007

null

hep-th

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

We consider a BRST invariant generalization of the "massive background Landau gauge", resembling the original Curci-Ferrari model that saw a revived interest due to its phenomenological success in modeling infrared Yang-Mills dynamics, including that of the phase transition. Unlike the Curci-Ferrari model, however, the mass parameter is no longer a phenomenological input but it enters as a result of dimensional transmutation via a BRST invariant dimension two gluon condensate. The associated renormalization constant is dealt with using Zimmermann's reduction of constants program which fixes the value of the mass parameter to values close to those obtained within the Curci-Ferrari approach. Using a self-consistent background field, we can include the Polyakov loop and probe the deconfinement transition, including its interplay with the condensate and its electric-magnetic asymmetry. We report a continuous phase transition at Tc ~ 0.230 GeV in the SU(2) case and a first order one at Tc ~ 0.164 GeV in the SU(3) case, values which are again rather close to those obtained within the Curci-Ferrari model at one-loop order.

[ { "created": "Mon, 13 Jun 2022 09:44:10 GMT", "version": "v1" }, { "created": "Wed, 15 Jun 2022 12:53:08 GMT", "version": "v2" } ]

2022-09-21

[ [ "Dudal", "D.", "" ], [ "van Egmond", "D. M.", "" ], [ "Reinosa", "U.", "" ], [ "Vercauteren", "D.", "" ] ]

We consider a BRST invariant generalization of the "massive background Landau gauge", resembling the original Curci-Ferrari model that saw a revived interest due to its phenomenological success in modeling infrared Yang-Mills dynamics, including that of the phase transition. Unlike the Curci-Ferrari model, however, the mass parameter is no longer a phenomenological input but it enters as a result of dimensional transmutation via a BRST invariant dimension two gluon condensate. The associated renormalization constant is dealt with using Zimmermann's reduction of constants program which fixes the value of the mass parameter to values close to those obtained within the Curci-Ferrari approach. Using a self-consistent background field, we can include the Polyakov loop and probe the deconfinement transition, including its interplay with the condensate and its electric-magnetic asymmetry. We report a continuous phase transition at Tc ~ 0.230 GeV in the SU(2) case and a first order one at Tc ~ 0.164 GeV in the SU(3) case, values which are again rather close to those obtained within the Curci-Ferrari model at one-loop order.

9.587326

9.574838

9.707062

9.032451

9.82912

9.784609

9.651524

9.520836

9.416124

10.491033

8.870105

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9.383863

8.913031

9.071876

9.221136

9.316553

9.326632

9.190878

9.29362

9.209268

hep-th/0502093

Hyun Min Lee

Softness of Supersymmetry Breaking on the Orbifold $T^2/Z_2$

JHEP style file of 16 pages, no figures, published version

JHEP 0506 (2005) 044

10.1088/1126-6708/2005/06/044

DESY 05-025

hep-th hep-ph

null

We consider supersymmetry breaking due to a Scherk-Schwarz twist or localized mass terms in 6d ${\cal N}=1$ supersymmetric gauge theory compactified on the orbifold $T^2/Z_2$. We show that the Scherk-Schwarz breaking in 6d is equivalent to the localized breaking with mass terms along the lines in extra dimensions. In the presence of the considered supersymmetry breaking, we find that there arises a finite one-loop mass correction to a brane scalar due to the KK modes of bulk gauge fields.

[ { "created": "Wed, 9 Feb 2005 14:16:55 GMT", "version": "v1" }, { "created": "Fri, 25 Feb 2005 09:11:07 GMT", "version": "v2" }, { "created": "Fri, 27 May 2005 14:29:21 GMT", "version": "v3" } ]

2009-11-11

[ [ "Lee", "Hyun Min", "" ] ]

We consider supersymmetry breaking due to a Scherk-Schwarz twist or localized mass terms in 6d ${\cal N}=1$ supersymmetric gauge theory compactified on the orbifold $T^2/Z_2$. We show that the Scherk-Schwarz breaking in 6d is equivalent to the localized breaking with mass terms along the lines in extra dimensions. In the presence of the considered supersymmetry breaking, we find that there arises a finite one-loop mass correction to a brane scalar due to the KK modes of bulk gauge fields.

7.180666

6.752198

6.042755

6.171426

6.453026

6.867324

6.113875

6.253639

6.087137

6.817022

6.603273

6.409735

6.566374

6.391614

6.710062

6.408515

6.589922

6.450452

6.353534

6.623336

6.24292

hep-th/0209008

Anca Tureanu

M. Chaichian, K. Nishijima and A. Tureanu

Spin-Statistics and CPT Theorems in Noncommutative Field Theory

5 pages, latex, no figures

Phys.Lett.B568:146-152,2003

10.1016/j.physletb.2003.06.009

HIP-2002-36/TH

hep-th

null

We show that Pauli's spin-statistics relation remains valid in noncommutative quantum field theories (NC QFT), with the exception of some peculiar cases of noncommutativity between space and time. We also prove that, while the individual symmetries C and T, and in some cases also P, are broken, the CPT theorem still holds in general for noncommutative field theories, in spite of the inherent nonlocality and violation of Lorentz invariance.

[ { "created": "Sun, 1 Sep 2002 10:55:14 GMT", "version": "v1" } ]

2008-11-26

[ [ "Chaichian", "M.", "" ], [ "Nishijima", "K.", "" ], [ "Tureanu", "A.", "" ] ]

We show that Pauli's spin-statistics relation remains valid in noncommutative quantum field theories (NC QFT), with the exception of some peculiar cases of noncommutativity between space and time. We also prove that, while the individual symmetries C and T, and in some cases also P, are broken, the CPT theorem still holds in general for noncommutative field theories, in spite of the inherent nonlocality and violation of Lorentz invariance.

6.985073

6.455807

6.398103

5.959878

6.433942

6.650371

6.877627

6.122497

6.584321

7.214193

6.334577

6.702519

6.697297

6.634307

6.426561

6.568364

6.576039

6.470492

6.733243

6.831875

6.643563

hep-th/9611132

Vipul Periwal

Robert C. Myers and Vipul Periwal

Flow of low energy couplings in the Wilson renormalization group

9 pages, RevTeX. Version to appear in Phys. Rev. D

null

PUPT-1567

hep-th

null

A new form of the Wilson renormalization group equation is derived, in which the flow equations are, up to linear terms, proportional to a gradient flow. A set of co\"ordinates is found in which the flow of marginal, low-energy, couplings takes a gradient form, if relevant couplings are tuned to vanish.

[ { "created": "Mon, 18 Nov 1996 14:30:26 GMT", "version": "v1" }, { "created": "Sat, 28 Dec 1996 17:16:48 GMT", "version": "v2" }, { "created": "Thu, 26 Feb 1998 20:08:04 GMT", "version": "v3" } ]

2008-02-03

[ [ "Myers", "Robert C.", "" ], [ "Periwal", "Vipul", "" ] ]

A new form of the Wilson renormalization group equation is derived, in which the flow equations are, up to linear terms, proportional to a gradient flow. A set of co\"ordinates is found in which the flow of marginal, low-energy, couplings takes a gradient form, if relevant couplings are tuned to vanish.

16.322775

15.159916

15.430055

12.965199

13.813628

13.066169

13.948085

13.683493

13.683412

16.63216

14.201258

14.296744

14.63148

14.351454

14.804717

15.111597

14.557295

14.525459

14.173339

14.710737

13.979795

1405.2437

Gianluca Inverso

Gianguido Dall'Agata, Gianluca Inverso and Alessio Marrani

Symplectic Deformations of Gauged Maximal Supergravity

30 pages. v2 minor clarifications. v3 extra acknowledgements, version published in JHEP

null

10.1007/JHEP07(2014)133

DFPD/2014-TH/06, Nikhef-2014-010

hep-th

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

We identify the space of symplectic deformations of maximal gauged supergravity theories. Coordinates of such space parametrize inequivalent supergravity models with the same gauge group. We apply our procedure to the SO(8) gauging, extending recent analyses. We also study other interesting cases, including Cremmer-Scherk-Schwarz models and gaugings of groups contained in SL(8,R) and in SU*(8).

[ { "created": "Sat, 10 May 2014 14:14:11 GMT", "version": "v1" }, { "created": "Wed, 4 Jun 2014 17:09:16 GMT", "version": "v2" }, { "created": "Wed, 27 Aug 2014 19:52:10 GMT", "version": "v3" } ]

2015-06-19

[ [ "Dall'Agata", "Gianguido", "" ], [ "Inverso", "Gianluca", "" ], [ "Marrani", "Alessio", "" ] ]

We identify the space of symplectic deformations of maximal gauged supergravity theories. Coordinates of such space parametrize inequivalent supergravity models with the same gauge group. We apply our procedure to the SO(8) gauging, extending recent analyses. We also study other interesting cases, including Cremmer-Scherk-Schwarz models and gaugings of groups contained in SL(8,R) and in SU*(8).

10.686325

9.014499

11.835479

9.271071

9.405417

9.078327

8.699966

9.238963

9.501257

14.01079

8.418486

9.311446

10.439847

9.165247

8.672929

9.003381

9.071595

8.999867

9.187686

9.750238

8.893987

hep-th/9110001

Elias Kiritsis

M.B. Halpern, E.B. Kiritsis, N.A. Obers

The Lie h-Invariant Conformal Field Theories and the Lie h-Invariant Graphs

38pp

Int.J.Mod.Phys.A7S1A:339-375,1992

10.1142/S0217751X92003847

null

hep-th

null

We use the Virasoro master equation to study the space of Lie h-invariant conformal field theories, which includes the standard rational conformal field theories as a small subspace. In a detailed example, we apply the general theory to characterize and study the Lie h-invariant graphs, which classify the Lie h-invariant conformal field theories of the diagonal ansatz on SO(n). The Lie characterization of these graphs is another aspect of the recently observed Lie group-theoretic structure of graph theory.

[ { "created": "Tue, 1 Oct 1991 11:38:51 GMT", "version": "v1" } ]

2015-06-26

[ [ "Halpern", "M. B.", "" ], [ "Kiritsis", "E. B.", "" ], [ "Obers", "N. A.", "" ] ]

We use the Virasoro master equation to study the space of Lie h-invariant conformal field theories, which includes the standard rational conformal field theories as a small subspace. In a detailed example, we apply the general theory to characterize and study the Lie h-invariant graphs, which classify the Lie h-invariant conformal field theories of the diagonal ansatz on SO(n). The Lie characterization of these graphs is another aspect of the recently observed Lie group-theoretic structure of graph theory.

15.840231

15.903751

18.0387

14.495233

15.155008

14.555009

15.698668

15.037609

13.627097

17.91398

14.523395

14.381439

15.898706

14.225532

14.560673

15.009009

14.99881

13.939497

14.254758

15.279466

13.766862

hep-th/9805173

Arne Lykke Larsen

A.L. Larsen and N. S\'anchez

From the WZWN Model to the Liouville Equation: Exact String Dynamics in Conformally Invariant AdS Background

24 pages including 4 postscript figures. Enlarged version including a section on string solutions in 2+1 black hole background. To be published in Phys. Rev. D., December 1998

Phys.Rev. D58 (1998) 126002

10.1103/PhysRevD.58.126002

null

hep-th gr-qc

null

It has been known for some time that the SL(2,R) WZWN model reduces to Liouville theory. Here we give a direct and physical derivation of this result based on the classical string equations of motion and the proper string size. This allows us to extract precisely the physical effects of the metric and antisymmetric tensor, respectively, on the {\it exact} string dynamics in the SL(2,R) background. The general solution to the proper string size is also found. We show that the antisymmetric tensor (corresponding to conformal invariance) generally gives rise to repulsion, and it precisely cancels the dominant attractive term arising from the metric. Both the sinh-Gordon and the cosh-Gordon sectors of the string dynamics in non-conformally invariant AdS spacetime reduce here to the Liouville equation (with different signs of the potential), while the original Liouville sector reduces to the free wave equation. Only the very large classical string size is affected by the torsion. Medium and small size string behaviours are unchanged. We also find illustrative classes of string solutions in the SL(2,R) background: dynamical closed as well as stationary open spiralling strings, for which the effect of torsion is somewhat like the effect of rotation in the metric. Similarly, the string solutions in the 2+1 BH-AdS background with torsion and angular momentum are fully analyzed.

[ { "created": "Tue, 26 May 1998 13:26:05 GMT", "version": "v1" }, { "created": "Mon, 23 Nov 1998 10:57:38 GMT", "version": "v2" } ]

2016-08-15

[ [ "Larsen", "A. L.", "" ], [ "Sánchez", "N.", "" ] ]

It has been known for some time that the SL(2,R) WZWN model reduces to Liouville theory. Here we give a direct and physical derivation of this result based on the classical string equations of motion and the proper string size. This allows us to extract precisely the physical effects of the metric and antisymmetric tensor, respectively, on the {\it exact} string dynamics in the SL(2,R) background. The general solution to the proper string size is also found. We show that the antisymmetric tensor (corresponding to conformal invariance) generally gives rise to repulsion, and it precisely cancels the dominant attractive term arising from the metric. Both the sinh-Gordon and the cosh-Gordon sectors of the string dynamics in non-conformally invariant AdS spacetime reduce here to the Liouville equation (with different signs of the potential), while the original Liouville sector reduces to the free wave equation. Only the very large classical string size is affected by the torsion. Medium and small size string behaviours are unchanged. We also find illustrative classes of string solutions in the SL(2,R) background: dynamical closed as well as stationary open spiralling strings, for which the effect of torsion is somewhat like the effect of rotation in the metric. Similarly, the string solutions in the 2+1 BH-AdS background with torsion and angular momentum are fully analyzed.

12.00769

12.032503

11.974775

11.778589

11.677586

12.150879

12.076424

11.144282

11.556505

13.232248

11.293898

11.250181

11.441158

11.184528

11.283875

11.410004

11.129864

11.427485

11.289353

11.921102

11.249912

1510.05051

Vincent Lahoche

Constructive Tensorial Group Field Theory II: The $U(1)-T^4_4$ Model

21 pages, 3 figures. The latest versions differ in minor language corrections and the accuracy of some notations

null

hep-th

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

In this paper we continue our program of non-pertubative constructions of tensorial group field theories (TGFT). We prove analyticity and Borel summability in a suitable domain of the coupling constant of the simplest super-renormalizable TGFT which contains some ultraviolet divergencies, namely the color-symmetric quartic melonic rank-four model with Abelian $U(1)$ gauge invariance, nicknamed $U(1)-T^4_4$. We use a multiscale loop vertex expansion. It is an extension of the loop vertex expansion (the basic constructive technique for non-local theories) which is required for theories that involve non-trivial renormalization.

[ { "created": "Fri, 16 Oct 2015 23:56:00 GMT", "version": "v1" }, { "created": "Tue, 12 Feb 2019 16:39:18 GMT", "version": "v2" }, { "created": "Fri, 15 Feb 2019 18:03:30 GMT", "version": "v3" }, { "created": "Sun, 24 Feb 2019 10:37:28 GMT", "version": "v4" } ]

2019-02-26

[ [ "Lahoche", "Vincent", "" ] ]

In this paper we continue our program of non-pertubative constructions of tensorial group field theories (TGFT). We prove analyticity and Borel summability in a suitable domain of the coupling constant of the simplest super-renormalizable TGFT which contains some ultraviolet divergencies, namely the color-symmetric quartic melonic rank-four model with Abelian $U(1)$ gauge invariance, nicknamed $U(1)-T^4_4$. We use a multiscale loop vertex expansion. It is an extension of the loop vertex expansion (the basic constructive technique for non-local theories) which is required for theories that involve non-trivial renormalization.

9.794727

11.217758

12.95904

10.727767

11.153793

10.615148

11.309458

9.818541

9.649551

11.229067

10.755033

9.095386

9.722306

9.341764

9.599476

9.185128

9.408566

9.647617

9.439875

9.977894

9.926236

1806.02871

G\'abor S\'arosi

Vijay Balasubramanian, Ben Craps, Tim De Jonckheere, G\'abor S\'arosi

Entanglement versus entwinement in symmetric product orbifolds

21 pages, v2: short entwinement review section added, and prev. section 2 rewritten to increase clarity. Matches published version

null

10.1007/JHEP01(2019)190

null

hep-th quant-ph

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

We study the entanglement entropy of gauged internal degrees of freedom in a two dimensional symmetric product orbifold CFT, whose configurations consist of $N$ strands sewn together into "long" strings, with wavefunctions symmetrized under permutations. In earlier work a related notion of "entwinement" was introduced. Here we treat this system analogously to a system of $N$ identical particles. From an algebraic point of view, we point out that the reduced density matrix on $k$ out of $N$ particles is not associated with a subalgebra of operators, but rather with a linear subspace, which we explain is sufficient. In the orbifold CFT, we compute the entropy of a single strand in states holographically dual in the D1/D5 system to a conical defect geometry or a massless BTZ black hole and find a result identical to entwinement. We also calculate the entropy of two strands in the state that represents the conical defect; the result differs from entwinement. In this case, matching entwinement would require finding a gauge-invariant way to impose continuity across strands.

[ { "created": "Thu, 7 Jun 2018 19:15:53 GMT", "version": "v1" }, { "created": "Wed, 30 Jan 2019 16:14:33 GMT", "version": "v2" } ]

2019-02-20

[ [ "Balasubramanian", "Vijay", "" ], [ "Craps", "Ben", "" ], [ "De Jonckheere", "Tim", "" ], [ "Sárosi", "Gábor", "" ] ]

We study the entanglement entropy of gauged internal degrees of freedom in a two dimensional symmetric product orbifold CFT, whose configurations consist of $N$ strands sewn together into "long" strings, with wavefunctions symmetrized under permutations. In earlier work a related notion of "entwinement" was introduced. Here we treat this system analogously to a system of $N$ identical particles. From an algebraic point of view, we point out that the reduced density matrix on $k$ out of $N$ particles is not associated with a subalgebra of operators, but rather with a linear subspace, which we explain is sufficient. In the orbifold CFT, we compute the entropy of a single strand in states holographically dual in the D1/D5 system to a conical defect geometry or a massless BTZ black hole and find a result identical to entwinement. We also calculate the entropy of two strands in the state that represents the conical defect; the result differs from entwinement. In this case, matching entwinement would require finding a gauge-invariant way to impose continuity across strands.

10.928928

11.368173

12.065148

10.636958

11.627575

10.488259

10.816946

10.779378

10.684692

13.590917

10.718519

10.804327

10.862519

10.414465

10.73594

10.764025

10.748717

10.809563

10.560063

11.275527

10.542221

1903.05618

Javier Mas

Anxo Biasi, Javier Mas and Alexandre Serantes

Gravitational wave driving of a gapped holographic system

25 pages, 13 figures, minor changes in v2. Final versions to appear in JHEP

null

10.1007/JHEP05(2019)161

null

hep-th gr-qc quant-ph

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

This work addresses the response of a holographic conformal field theory to a homogeneous gravitational periodic driving. The dual geometry is the AdS-soliton, which models a strongly coupled quantum system in a gapped phase, on a compact domain. The response is a time-periodic geometry up to a driving amplitude threshold which decreases with the driving frequency. Beyond that, collapse to a black hole occurs, signaling decoherence and thermalization in the dual theory. At some frequencies, we also find a resonant coupling to the gravitational normal modes of the AdS-soliton, yielding a nonlinearly bound state. We also speculate on the possible uses of quantum strongly coupled systems to build resonant gravitational wave detectors.

[ { "created": "Wed, 13 Mar 2019 17:32:51 GMT", "version": "v1" }, { "created": "Thu, 6 Jun 2019 09:18:29 GMT", "version": "v2" } ]

2019-06-26

[ [ "Biasi", "Anxo", "" ], [ "Mas", "Javier", "" ], [ "Serantes", "Alexandre", "" ] ]

This work addresses the response of a holographic conformal field theory to a homogeneous gravitational periodic driving. The dual geometry is the AdS-soliton, which models a strongly coupled quantum system in a gapped phase, on a compact domain. The response is a time-periodic geometry up to a driving amplitude threshold which decreases with the driving frequency. Beyond that, collapse to a black hole occurs, signaling decoherence and thermalization in the dual theory. At some frequencies, we also find a resonant coupling to the gravitational normal modes of the AdS-soliton, yielding a nonlinearly bound state. We also speculate on the possible uses of quantum strongly coupled systems to build resonant gravitational wave detectors.

14.874352

14.178209

14.114346

13.647202

13.14785

13.632197

13.57737

12.65968

13.869846

16.039505

12.854384

12.618306

13.401345

13.166947

12.981627

12.938778

12.660543

12.427601

12.630229

13.414474

12.993148

1502.04164

Sylvester Gates Jr.

Mathew Calkins, D. E. A. Gates, S. James Gates, Jr., and William M. Golding

Think Different: Applying the Old Macintosh Mantra to the Computability of the SUSY Auxiliary Field Problem

28 pages, 1 figure

null

10.1007/JHEP04(2015)056

Univ. of Maryland Preprint # UMDEPP-015-003

hep-th

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

Starting with valise supermultiplets obtained from 0-branes plus field redefinitions, valise adinkra networks, and the "Garden Algebra," we discuss an architecture for algorithms that (starting from on-shell theories and, through a well-defined computation procedure), search for off-shell completions. We show in one dimension how to directly attack the notorious "off-shell auxiliary field" problem of supersymmetry with algorithms in the adinkra network-world formulation.

[ { "created": "Sat, 14 Feb 2015 03:25:45 GMT", "version": "v1" }, { "created": "Tue, 24 Feb 2015 16:19:21 GMT", "version": "v2" } ]

2015-06-23

[ [ "Calkins", "Mathew", "" ], [ "Gates", "D. E. A.", "" ], [ "Gates,", "S. James", "Jr." ], [ "Golding", "William M.", "" ] ]

Starting with valise supermultiplets obtained from 0-branes plus field redefinitions, valise adinkra networks, and the "Garden Algebra," we discuss an architecture for algorithms that (starting from on-shell theories and, through a well-defined computation procedure), search for off-shell completions. We show in one dimension how to directly attack the notorious "off-shell auxiliary field" problem of supersymmetry with algorithms in the adinkra network-world formulation.

52.127327

48.670166

56.475597

44.926613

50.26239

49.917542

52.312199

48.827866

45.17363

75.849281

45.301533

45.768368

48.165195

46.191151

48.819366

46.722412

48.240067

47.804352

47.898808

49.66888

47.596596

1711.08182

Anshul Saini

Anshul Saini, Dejan Stojkovic

Gravitational collapse and Hawking-like radiation of the shell in AdS spacetime

null

Phys. Rev. D 97, 025020 (2018)

10.1103/PhysRevD.97.025020

null

hep-th

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

In this paper, we study the collapse of a massive shell in 2+1 and 3+1 dimensional gravity with Anti-de Sitter asymptotics. Using the Gauss-Codazzi method, we derive gravitational equations of motion of the shell. We then use the functional Schrodinger formalism to calculate the spectrum of particles produced during the collapse. At the late time, radiation agrees very well with the standard Hawking results. In 3+1 dimensions, we reproduce the Hawking-Page transition. We then construct the density matrix of this collapsing system and analyze the information content in the emitted radiation. We find that the off-diagonal elements of the density matrix are very important in preserving the unitarity of the system.

[ { "created": "Wed, 22 Nov 2017 09:12:09 GMT", "version": "v1" } ]

2018-05-31

[ [ "Saini", "Anshul", "" ], [ "Stojkovic", "Dejan", "" ] ]

In this paper, we study the collapse of a massive shell in 2+1 and 3+1 dimensional gravity with Anti-de Sitter asymptotics. Using the Gauss-Codazzi method, we derive gravitational equations of motion of the shell. We then use the functional Schrodinger formalism to calculate the spectrum of particles produced during the collapse. At the late time, radiation agrees very well with the standard Hawking results. In 3+1 dimensions, we reproduce the Hawking-Page transition. We then construct the density matrix of this collapsing system and analyze the information content in the emitted radiation. We find that the off-diagonal elements of the density matrix are very important in preserving the unitarity of the system.

7.890007

6.982997

7.225852

6.67184

7.71066

7.383121

7.221754

6.283388

7.169751

7.788071

7.196359

7.050329

6.749648

6.970802

6.936177

6.861761

6.82212

6.932295

7.168801

7.111656

7.345308

0705.2430

George Siopsis

Poincare recurrences of Schwarzschild black holes

15 pages

Class.Quant.Grav.24:4133-4146,2007

10.1088/0264-9381/24/16/009

UTHET-07-0201

hep-th gr-qc

null

We discuss massive scalar perturbations of a Schwarzschild black hole. We argue that quantum effects alter the effective potential near the horizon resulting in Poincare recurrences in Green functions. Results at the semi-classical level are independent of the details of the modification of the potential provided its minimum near the horizon is inversely proportional to the square of the Poincare time. This modification may be viewed as a change in the near-horizon geometry. We consider explicitly the examples of a brick wall, a smooth cutoff and a wormhole-like modification showing that they all lead to the same results at leading order.

[ { "created": "Wed, 16 May 2007 20:34:10 GMT", "version": "v1" } ]

2008-11-26

[ [ "Siopsis", "George", "" ] ]

We discuss massive scalar perturbations of a Schwarzschild black hole. We argue that quantum effects alter the effective potential near the horizon resulting in Poincare recurrences in Green functions. Results at the semi-classical level are independent of the details of the modification of the potential provided its minimum near the horizon is inversely proportional to the square of the Poincare time. This modification may be viewed as a change in the near-horizon geometry. We consider explicitly the examples of a brick wall, a smooth cutoff and a wormhole-like modification showing that they all lead to the same results at leading order.

11.052007

11.09188

10.134306

10.380142

10.680187

12.040521

10.753962

9.613591

10.33859

10.63207

10.457943

10.674251

10.857892

10.434087

10.759992

10.525577

10.945557

10.472572

10.815291

10.887449

10.308084

1106.3043

Petr Moravek

Petr Moravek, Jiri Horejsi

Vector boson scattering and boundary conditions in Kaluza-Klein toy model

11 pages, v2: minor refinements, references added, styled according to MPLA guidelines

Mod. Phys. Lett. A 27, 1250098 (2012)

10.1142/S0217732312500988

null

hep-th hep-ph

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

We study a simple higher-dimensional toy model of electroweak symmetry breaking, in particular a pure gauge 5D theory on flat background with one extra finite space dimension. The principle of least action and the requirement of gauge independence of scattering amplitudes are used to determine the possible choices of boundary conditions. We demonstrate that for any of these choices the scattering amplitudes of vector bosons do not exhibit power-like growth in the high energy limit. Our analysis is an extension and generalization of the results obtained previously by other authors.

[ { "created": "Wed, 15 Jun 2011 18:09:00 GMT", "version": "v1" }, { "created": "Fri, 18 May 2012 10:39:12 GMT", "version": "v2" } ]

2012-06-07

[ [ "Moravek", "Petr", "" ], [ "Horejsi", "Jiri", "" ] ]

We study a simple higher-dimensional toy model of electroweak symmetry breaking, in particular a pure gauge 5D theory on flat background with one extra finite space dimension. The principle of least action and the requirement of gauge independence of scattering amplitudes are used to determine the possible choices of boundary conditions. We demonstrate that for any of these choices the scattering amplitudes of vector bosons do not exhibit power-like growth in the high energy limit. Our analysis is an extension and generalization of the results obtained previously by other authors.

10.449501

9.490266

8.806822

8.830303

9.405249

9.878452

9.466932

9.589499

8.910966

9.808555

8.995463

9.686974

8.918287

8.995601

9.441401

9.491746

9.341479

9.600604

8.89995

8.954758

9.484527

hep-th/0401156

Dieter Luest H.

Dieter Lust

Intersecting Brane Worlds -- A Path to the Standard Model ?

31 pages, To appear in the proceedings of the RTN-workshop ``The quantum structure of spacetime and the geometric nature of fundamental interactions'', September 2003 in Copenhagen, revised version contains new refs and one corrected equation

Class.Quant.Grav.21:S1399-1424,2004

10.1088/0264-9381/21/10/013

HU-EP-04/04, MPP-2004-8

hep-th

null

In this review we describe the general geometrical framework of brane world constructions in orientifolds of type IIA string theory with D6-branes wrapping 3-cycles in a Calabi-Yau 3-fold. These branes generically intersect in points on the internal space, and the patterns of intersections govern the chiral fermion spectra. We discuss how the open string spectra in intersecting brane models are constructed, how the Standard Model can be embedded, and also how supersymmetry can be realized in this class of string vacua. After the general considerations we specialize the discussion to the case of orbifold backgrounds with intersecting D6-branes and to the quintic Calabi-Yau manifold. Then, we discuss parts of the effective action of intersecting brane world models. Specifically we compute from the Born-Infeld action of the wrapped D-branes the tree-level, D-term scalar potential, which is important for the stability of the considered backgrounds as well as for questions related to supersymmetry breaking. Second, we review the recent computation concerning of gauge coupling unification and also of one-loop gauge threshold corrections in intersecting brane world models. Finally we also discuss some aspects of proton decay in intersecting brane world models.

[ { "created": "Thu, 22 Jan 2004 15:00:06 GMT", "version": "v1" }, { "created": "Tue, 24 Feb 2004 15:43:18 GMT", "version": "v2" } ]

2009-11-10

[ [ "Lust", "Dieter", "" ] ]

In this review we describe the general geometrical framework of brane world constructions in orientifolds of type IIA string theory with D6-branes wrapping 3-cycles in a Calabi-Yau 3-fold. These branes generically intersect in points on the internal space, and the patterns of intersections govern the chiral fermion spectra. We discuss how the open string spectra in intersecting brane models are constructed, how the Standard Model can be embedded, and also how supersymmetry can be realized in this class of string vacua. After the general considerations we specialize the discussion to the case of orbifold backgrounds with intersecting D6-branes and to the quintic Calabi-Yau manifold. Then, we discuss parts of the effective action of intersecting brane world models. Specifically we compute from the Born-Infeld action of the wrapped D-branes the tree-level, D-term scalar potential, which is important for the stability of the considered backgrounds as well as for questions related to supersymmetry breaking. Second, we review the recent computation concerning of gauge coupling unification and also of one-loop gauge threshold corrections in intersecting brane world models. Finally we also discuss some aspects of proton decay in intersecting brane world models.

7.166279

7.422009

7.883631

6.903823

7.495673

7.639328

7.465716

7.043788

7.110416

8.280708

7.252921

6.92167

7.022434

6.796448

6.875083

6.98576

6.836328

6.802461

6.89219

6.945428

6.776218

hep-th/9703204

Mirjam Cvetic

Miguel S. Costa and Mirjam Cvetic

Non-threshold D-brane bound states and black holes with non-zero entropy

RevTeX, 20 pages, minor corrections, version to appear in PRD

Phys.Rev.D56:4834-4843,1997

10.1103/PhysRevD.56.4834

UPR-741-T

hep-th

null

We start with BPS-saturated configurations of two (orthogonally) intersecting M-branes and use the electro-magnetic duality or dimensional reduction along a boost, in order to obtain new p-brane bound states. In the first case the resulting configurations are interpreted as BPS-saturated non-threshold bound states of intersecting p-branes, and in the second case as p-branes intersecting at angles and their duals. As a by-product we deduce the enhancement of supersymmetry as the angle approaches zero. We also comment on the D-brane theory describing these new bound states, and a connection between the angle and the world-volume gauge fields of the D-brane system. We use these configurations to find new embeddings of the four and five dimensional black holes with non-zero entropy, whose entropy now also depends on the angle and world-volume gauge fields. The corresponding D-brane configuration sheds light on the microscopic entropy of such black holes.

[ { "created": "Fri, 28 Mar 1997 00:54:25 GMT", "version": "v1" }, { "created": "Fri, 28 Mar 1997 01:18:13 GMT", "version": "v2" }, { "created": "Wed, 16 Apr 1997 21:55:16 GMT", "version": "v3" }, { "created": "Mon, 14 Jul 1997 23:13:23 GMT", "version": "v4" } ]

2009-09-17

[ [ "Costa", "Miguel S.", "" ], [ "Cvetic", "Mirjam", "" ] ]

We start with BPS-saturated configurations of two (orthogonally) intersecting M-branes and use the electro-magnetic duality or dimensional reduction along a boost, in order to obtain new p-brane bound states. In the first case the resulting configurations are interpreted as BPS-saturated non-threshold bound states of intersecting p-branes, and in the second case as p-branes intersecting at angles and their duals. As a by-product we deduce the enhancement of supersymmetry as the angle approaches zero. We also comment on the D-brane theory describing these new bound states, and a connection between the angle and the world-volume gauge fields of the D-brane system. We use these configurations to find new embeddings of the four and five dimensional black holes with non-zero entropy, whose entropy now also depends on the angle and world-volume gauge fields. The corresponding D-brane configuration sheds light on the microscopic entropy of such black holes.

8.891515

8.729452

9.893952

8.224905

8.530992

8.895718

8.533776

8.618855

8.495877

10.106714

8.586456

8.674174

9.215007

8.558663

8.50625

8.597309

8.565094

8.638729

8.649326

8.930745

8.496216

hep-th/9912072

Shiraz Minwalla

Shiraz Minwalla, Mark Van Raamsdonk and Nathan Seiberg

Noncommutative Perturbative Dynamics

33 pages, 17 figures, harvmac; v2 minor changes

JHEP 0002:020,2000

10.1088/1126-6708/2000/02/020

PUPT-1905 IASSNS-HEP-99-112

hep-th

null

We study the perturbative dynamics of noncommutative field theories on R^d, and find an intriguing mixing of the UV and the IR. High energies of virtual particles in loops produce non-analyticity at low momentum. Consequently, the low energy effective action is singular at zero momentum even when the original noncommutative field theory is massive. Some of the nonplanar diagrams of these theories are divergent, but we interpret these divergences as IR divergences and deal with them accordingly. We explain how this UV/IR mixing arises from the underlying noncommutativity. This phenomenon is reminiscent of the channel duality of the double twist diagram in open string theory.

[ { "created": "Wed, 8 Dec 1999 23:03:50 GMT", "version": "v1" }, { "created": "Tue, 21 Dec 1999 22:13:54 GMT", "version": "v2" } ]

2009-10-31

[ [ "Minwalla", "Shiraz", "" ], [ "Van Raamsdonk", "Mark", "" ], [ "Seiberg", "Nathan", "" ] ]

We study the perturbative dynamics of noncommutative field theories on R^d, and find an intriguing mixing of the UV and the IR. High energies of virtual particles in loops produce non-analyticity at low momentum. Consequently, the low energy effective action is singular at zero momentum even when the original noncommutative field theory is massive. Some of the nonplanar diagrams of these theories are divergent, but we interpret these divergences as IR divergences and deal with them accordingly. We explain how this UV/IR mixing arises from the underlying noncommutativity. This phenomenon is reminiscent of the channel duality of the double twist diagram in open string theory.

9.092539

9.488573

10.385875

9.084097

8.839554

9.698511

9.598524

8.77438

8.731512

10.412022

8.894137

9.004716

9.253038

9.143706

8.796281

8.765102

9.15411

8.770395

8.847631

9.100824

8.78329

hep-th/0307224

Joel Giedt

Joel Giedt, Brent D. Nelson

Instanton effects and linear-chiral duality

1+18 pages, 1 figure, comments and references added

JHEP 0405 (2004) 069

10.1088/1126-6708/2004/05/069

MCTP 03-35

hep-th

null

We discuss duality between the linear and chiral dilaton formulations, in the presence of super-Yang-Mills instanton corrections to the effective action. In contrast to previous work on the subject, our approach appeals directly to explicit instanton calculations and does not rely on the introduction of an auxiliary Veneziano-Yankielowicz superfield. We discuss duality in the case of an axion that has a periodic scalar potential, and find that the bosonic fields of the dual linear multiplet have a modified interpretation. We note that symmetries of the axion potential manifest themselves as symmetries of the equations of motion for the linear multiplet. We also make some brief remarks regarding dilaton stabilization. We point out that corrections recently studied by Dijkgraaf and Vafa can be used to stabilize the axion in the case of a single super-Yang-Mills condensate.

[ { "created": "Tue, 22 Jul 2003 22:00:53 GMT", "version": "v1" }, { "created": "Wed, 27 Aug 2003 15:09:02 GMT", "version": "v2" }, { "created": "Wed, 19 May 2004 17:53:45 GMT", "version": "v3" } ]

2009-11-10

[ [ "Giedt", "Joel", "" ], [ "Nelson", "Brent D.", "" ] ]

We discuss duality between the linear and chiral dilaton formulations, in the presence of super-Yang-Mills instanton corrections to the effective action. In contrast to previous work on the subject, our approach appeals directly to explicit instanton calculations and does not rely on the introduction of an auxiliary Veneziano-Yankielowicz superfield. We discuss duality in the case of an axion that has a periodic scalar potential, and find that the bosonic fields of the dual linear multiplet have a modified interpretation. We note that symmetries of the axion potential manifest themselves as symmetries of the equations of motion for the linear multiplet. We also make some brief remarks regarding dilaton stabilization. We point out that corrections recently studied by Dijkgraaf and Vafa can be used to stabilize the axion in the case of a single super-Yang-Mills condensate.

8.7644

8.955075

9.524021

7.78589

8.750115

8.506808

8.370638

8.545068

8.190474

9.309773

8.545942

8.148192

8.804669

8.194986

8.584853

8.607677

8.502605

8.374407

8.116788

8.839558

8.570895

2112.13116

Ankit Aggarwal

Ankit Aggarwal, Luca Ciambelli, St\'ephane Detournay, Antoine Somerhausen

Boundary Conditions for Warped AdS$_3$ in Quadratic Ensemble

v1: 23 pages; Mathematica file with all the computations available as an ancillary file. v2: Minor changes in language, references added, matches published version

JHEP 2022, 13 (2022)

10.1007/JHEP05(2022)013

null

hep-th gr-qc

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

In the context of warped conformal field theories (WCFT), the derivation of the warped Cardy formula relies on the zero mode spectrum being bounded from below. Generically, this is not true for holographic WCFTs in "canonical" ensemble, whereas this condition is satisfied in the "quadratic" ensemble, making it more natural in holographic setups. In this work, we find a new set of boundary conditions in three-dimensional Topologically Massive Gravity (TMG) such that the putative dual theory is a WCFT in quadratic ensemble. Surprisingly, imposing the equations of motion, we obtain a closed form metric spanned by two arbitrary chiral functions, analogous to the Ba\~nados metrics in Einstein gravity. Surface charges for these boundary conditions are not a priori integrable and we discuss two choices of boundary conditions to make them so. We obtain the bulk thermodynamic entropy of warped BTZ black holes by making use of the warped Cardy formula, in its regime of validity. We also discuss the issue of identifying the vacuum in our solution space: demanding the enhancement of global symmetries selects only a family of solutions, out of which the unique vacuum must be carefully singled out.

[ { "created": "Fri, 24 Dec 2021 18:02:32 GMT", "version": "v1" }, { "created": "Thu, 5 May 2022 09:10:28 GMT", "version": "v2" } ]

2022-05-06

[ [ "Aggarwal", "Ankit", "" ], [ "Ciambelli", "Luca", "" ], [ "Detournay", "Stéphane", "" ], [ "Somerhausen", "Antoine", "" ] ]

In the context of warped conformal field theories (WCFT), the derivation of the warped Cardy formula relies on the zero mode spectrum being bounded from below. Generically, this is not true for holographic WCFTs in "canonical" ensemble, whereas this condition is satisfied in the "quadratic" ensemble, making it more natural in holographic setups. In this work, we find a new set of boundary conditions in three-dimensional Topologically Massive Gravity (TMG) such that the putative dual theory is a WCFT in quadratic ensemble. Surprisingly, imposing the equations of motion, we obtain a closed form metric spanned by two arbitrary chiral functions, analogous to the Ba\~nados metrics in Einstein gravity. Surface charges for these boundary conditions are not a priori integrable and we discuss two choices of boundary conditions to make them so. We obtain the bulk thermodynamic entropy of warped BTZ black holes by making use of the warped Cardy formula, in its regime of validity. We also discuss the issue of identifying the vacuum in our solution space: demanding the enhancement of global symmetries selects only a family of solutions, out of which the unique vacuum must be carefully singled out.

10.73924

10.13042

10.785102

9.894298

10.142237

10.130255

9.802205

10.236368

10.136099

12.333012

10.520192

9.833587

10.850018

10.161363

10.04689

10.031749

9.916419

9.916059

10.003701

10.670883

9.905037

1806.06619

Alvaro Veliz-Osorio

Piermarco Fonda, Diego Liska and Alvaro Veliz-Osorio

Entanglement, anomalies and Mathisson's helices

Version 2, typos corrected, one figure added

Phys. Rev. D 99, 046007 (2019)

10.1103/PhysRevD.99.046007

null

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

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

We study the physical properties of a length-torsion functional which encodes the holographic entanglement entropy for 1+1 dimensional theories with chiral anomalies. Previously, we have shown that its extremal curves correspond to the mysterious Mathisson's helical motions for the centroids of spinning bodies. We explore the properties of these helices in domain-wall backgrounds using both analytic and numerical techniques. Using these insights we derive an entropic $c$-function $c_{\mathrm{Hel}}(\ell)$ which can be succinctly expressed in terms of Noether charges conserved along these helical motions. While for generic values of the anomaly there is some ambiguity in the definition of $c_{\mathrm{Hel}}(\ell)$, we argue that at the chiral point this ambiguity is absent.

[ { "created": "Mon, 18 Jun 2018 12:11:26 GMT", "version": "v1" }, { "created": "Tue, 26 Jun 2018 16:27:17 GMT", "version": "v2" } ]

2019-02-20

[ [ "Fonda", "Piermarco", "" ], [ "Liska", "Diego", "" ], [ "Veliz-Osorio", "Alvaro", "" ] ]

We study the physical properties of a length-torsion functional which encodes the holographic entanglement entropy for 1+1 dimensional theories with chiral anomalies. Previously, we have shown that its extremal curves correspond to the mysterious Mathisson's helical motions for the centroids of spinning bodies. We explore the properties of these helices in domain-wall backgrounds using both analytic and numerical techniques. Using these insights we derive an entropic $c$-function $c_{\mathrm{Hel}}(\ell)$ which can be succinctly expressed in terms of Noether charges conserved along these helical motions. While for generic values of the anomaly there is some ambiguity in the definition of $c_{\mathrm{Hel}}(\ell)$, we argue that at the chiral point this ambiguity is absent.

10.562881

10.797535

12.412434

9.929568

10.838892

10.249196

10.600229

10.308868

10.216662

12.798043

10.100093

10.364491

10.899766

10.233323

10.756248

10.339588

10.305779

10.360656

10.364691

11.075705

10.126817

hep-th/0108178

Steven Corley

Steven Corley and David A. Lowe

Forces between stable non-BPS branes

17 pages, 2 figures, revtex

Phys.Lett. B528 (2002) 139-148

10.1016/S0370-2693(02)01186-3

BROWN-HET-1287

hep-th

null

As a step toward constructing realistic brane world models in string theory, we consider the interactions of a pair of non-BPS branes. We construct a dyonic generalization of the non-BPS branes first constructed by Bergman, Gaberdiel and Sen as orbifolds of D-branes on $T^4/\BZ_2$. The force between a dyonic brane and an electric brane is computed and is found to vanish at a nontrivial critical separation. This equilibrium point is unstable. For smaller separations the branes coalesce to form a composite dyonic state, while for larger separations the branes run off to infinity. We suggest generalizations that will lead to potentials with stable local minima.

[ { "created": "Thu, 23 Aug 2001 18:53:41 GMT", "version": "v1" }, { "created": "Wed, 10 Oct 2001 20:34:24 GMT", "version": "v2" }, { "created": "Fri, 21 Dec 2001 17:18:45 GMT", "version": "v3" } ]

2009-11-07

[ [ "Corley", "Steven", "" ], [ "Lowe", "David A.", "" ] ]

As a step toward constructing realistic brane world models in string theory, we consider the interactions of a pair of non-BPS branes. We construct a dyonic generalization of the non-BPS branes first constructed by Bergman, Gaberdiel and Sen as orbifolds of D-branes on $T^4/\BZ_2$. The force between a dyonic brane and an electric brane is computed and is found to vanish at a nontrivial critical separation. This equilibrium point is unstable. For smaller separations the branes coalesce to form a composite dyonic state, while for larger separations the branes run off to infinity. We suggest generalizations that will lead to potentials with stable local minima.

7.964887

6.856846

9.562105

7.252887

7.215983

7.553675

7.104083

7.547839

6.988606

9.835993

6.867135

7.02481

7.323626

7.153818

6.998032

7.140611

7.128233

7.238444

6.969783

7.880384

7.117563

0802.2173

Jun-Bao Wu

Bin Chen, Jun-Bao Wu

Wilson-Polyakov surfaces and M-theory branes

26 pages, 3 figures; v2 minor changes

JHEP 0805:046,2008

10.1088/1126-6708/2008/05/046

SISSA-07/2008/EP

hep-th

null

In this paper, we study the M-brane description of the Wilson-Polyakov surfaces in six-dimensional (2, 0) field theory at finite temperature. We investigate the membrane solution dual to a straight Wilons-Polyakov surface and compute the interaction potential between two parallel straight strings by using AdS/CFT correspondence. Furthermore we discuss the M5-brane solutions dual to various Wilson-Polyakov surfaces. Finally we obtain an universal result about M5-brane solutions in generic backgrounds.

[ { "created": "Fri, 15 Feb 2008 15:27:23 GMT", "version": "v1" }, { "created": "Thu, 6 Mar 2008 09:27:20 GMT", "version": "v2" } ]

2014-11-18

[ [ "Chen", "Bin", "" ], [ "Wu", "Jun-Bao", "" ] ]

In this paper, we study the M-brane description of the Wilson-Polyakov surfaces in six-dimensional (2, 0) field theory at finite temperature. We investigate the membrane solution dual to a straight Wilons-Polyakov surface and compute the interaction potential between two parallel straight strings by using AdS/CFT correspondence. Furthermore we discuss the M5-brane solutions dual to various Wilson-Polyakov surfaces. Finally we obtain an universal result about M5-brane solutions in generic backgrounds.

10.516471

9.670923

11.560669

9.184164

10.462776

9.968704

9.886306

9.333766

9.445655

13.416721

9.685381

9.325538

11.186697

9.691954

9.864859

9.917471

9.658105

9.59543

9.553073

11.111371

9.393206

hep-th/0104243

Koichi Murakami

K. Murakami

p-p' System with B Field and Projection Operator Noncommutative Solitons

22 pages, LaTeX2e

JHEP 0108:042,2001

10.1088/1126-6708/2001/08/042

OU-HET 383

hep-th

null

We study the system of the Dp'-brane with Dp-brane (p<p') inside, in the case where B_{ij} field is a nonvanishing constant. In order to understand how the Dp-brane is viewed from the Dp'-brane worldvolume theory, we investigate the process in which the Dp-brane is probed with p'-p' open string. We calculate the scattering amplitudes among p-p' open strings and p'-p' open strings and show that not only the Weyl transform of the projection operator onto the ground state but also those onto higher excited states emerge as multiplicative factors of the amplitudes.

[ { "created": "Fri, 27 Apr 2001 12:17:59 GMT", "version": "v1" } ]

2010-02-03

[ [ "Murakami", "K.", "" ] ]

We study the system of the Dp'-brane with Dp-brane (p<p') inside, in the case where B_{ij} field is a nonvanishing constant. In order to understand how the Dp-brane is viewed from the Dp'-brane worldvolume theory, we investigate the process in which the Dp-brane is probed with p'-p' open string. We calculate the scattering amplitudes among p-p' open strings and p'-p' open strings and show that not only the Weyl transform of the projection operator onto the ground state but also those onto higher excited states emerge as multiplicative factors of the amplitudes.

7.974144

8.013261

8.220083

7.450517

8.424136

8.397872

7.982654

8.167408

7.435758

8.176251

7.716238

7.281555

8.062318

7.217978

7.552811

7.632451

7.543821

7.131718

7.444015

7.978493

7.031216

1907.13607

Salah Haouat

Basma Ainouz and Salah Haouat

On the Klein's paradox in the presence of a scalar potential

null

10.1142/S0217732320500042

null

hep-th

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

In this paper, we have studied the Klein's paradox in the presence of both scalar and vector potential barriers. From the corresponding Dirac equation we have calculated the transmission and reflection coefficients. It is shown that the presence of a scalar barrier the scalar potential wides the gap between positive and negative energies and so the forbidden region. Accordingly, the Klein's paradox disappears when the scalar barrier exceeds a critical value. Considering the problem within the framework of quantum field theory, we have calculated the related pair creation probability, the mean number of created particles and the probability of a vacuum to remain a vacuum. Then it is shown that the scalar potential cut down the Klein range and minimizes the creation of particles; The particle creation decreases as the scalar potential increases and ceases definitely when the scalar potential reaches the critical value.

[ { "created": "Wed, 31 Jul 2019 17:20:09 GMT", "version": "v1" } ]

2020-02-26

[ [ "Ainouz", "Basma", "" ], [ "Haouat", "Salah", "" ] ]

In this paper, we have studied the Klein's paradox in the presence of both scalar and vector potential barriers. From the corresponding Dirac equation we have calculated the transmission and reflection coefficients. It is shown that the presence of a scalar barrier the scalar potential wides the gap between positive and negative energies and so the forbidden region. Accordingly, the Klein's paradox disappears when the scalar barrier exceeds a critical value. Considering the problem within the framework of quantum field theory, we have calculated the related pair creation probability, the mean number of created particles and the probability of a vacuum to remain a vacuum. Then it is shown that the scalar potential cut down the Klein range and minimizes the creation of particles; The particle creation decreases as the scalar potential increases and ceases definitely when the scalar potential reaches the critical value.

10.387086

9.68314

9.860591

9.829933

10.433706

10.380961

10.116922

10.389136

9.743504

11.645617

9.81688

9.885123

9.462789

9.466759

9.625653

9.868618

9.949205

9.645421

9.486263

9.70524

9.637564

1002.0911

Soonkeon Nam

Yongjoon Kwon and Soonkeon Nam

Area spectra versus entropy spectra in black holes in topologically massive gravity

16 pages

Class.Quant.Grav.27:165011,2010

10.1088/0264-9381/27/16/165011

null

hep-th gr-qc

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

We consider the area and entropy spectra of black holes in topologically massive gravity with gravitational Chern-Simons term. The examples we consider are the BTZ black hole and the warped AdS black hole. For the non-rotating BTZ black hole, the area and entropy spectra are equally spaced and independent of the coupling constant $\v$ of the Chern-Simons term. For the rotating BTZ black hole case, the spectra of the inner and outer horizon areas are not equally spaced in general and dependent of the coupling constant $\v$. However the entropy spectrum is equally spaced and independent of the coupling constant $\v$. For the warped AdS black holes for $\v >1$ by using the quasinormal modes obtained without imposing the boundary condition at radial infinity we find again that the entropy spectrum is equally spaced and independent of the coupling constant $\v$, while the spectra of the inner and outer horizon areas are not equally spaced and dependent of the coupling constant $\v$. Our result implies that the entropy spectrum has a universal behavior regardless of the presence of the gravitational Chern-Simons term, and therefore it implies that the entropy is more `fundamental' than the horizon area.

[ { "created": "Thu, 4 Feb 2010 17:29:07 GMT", "version": "v1" }, { "created": "Thu, 24 Jun 2010 08:26:17 GMT", "version": "v2" } ]

2014-11-20

[ [ "Kwon", "Yongjoon", "" ], [ "Nam", "Soonkeon", "" ] ]

We consider the area and entropy spectra of black holes in topologically massive gravity with gravitational Chern-Simons term. The examples we consider are the BTZ black hole and the warped AdS black hole. For the non-rotating BTZ black hole, the area and entropy spectra are equally spaced and independent of the coupling constant $\v$ of the Chern-Simons term. For the rotating BTZ black hole case, the spectra of the inner and outer horizon areas are not equally spaced in general and dependent of the coupling constant $\v$. However the entropy spectrum is equally spaced and independent of the coupling constant $\v$. For the warped AdS black holes for $\v >1$ by using the quasinormal modes obtained without imposing the boundary condition at radial infinity we find again that the entropy spectrum is equally spaced and independent of the coupling constant $\v$, while the spectra of the inner and outer horizon areas are not equally spaced and dependent of the coupling constant $\v$. Our result implies that the entropy spectrum has a universal behavior regardless of the presence of the gravitational Chern-Simons term, and therefore it implies that the entropy is more `fundamental' than the horizon area.

4.519505

4.358996

4.156627

3.980453

4.175348

4.195349

4.118478

3.958765

4.129972

4.250908

4.005216

4.149957

4.082214

4.145279

4.199001

4.208269

4.213466

4.132704

4.202136

4.206447

4.123815

2008.00904

Shuta Ishigaki

Shuta Ishigaki, Shin Nakamura

Mechanism for Negative Differential Conductivity in Holographic Conductors

v1: 14 pages, 5 figures, v2: minor corrections; version accepted in JHEP

J. High Energ. Phys. 2020, 124 (2020)

10.1007/JHEP12(2020)124

null

hep-th cond-mat.str-el

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

We clarify the mechanism for negative differential conductivity in holographic conductors. Negative differential conductivity is a phenomenon in which the electric field decreses with the increase of the current. This phenomenon is widely observed in strongly correlated insulators, and it has been known that some models of AdS/CFT correspondence (holographic conductors) reproduces this behaviour. We study the mechanism for negative differential conductivity in holographic conductors by analyzing the lifetime of the bound states of the charge carriers. We find that when the system exhibits negative differential conductivity, the lifetime of the bound states grows as the electric field increases. This suggests that the negative differential conductivity in this system is realized by the supression of the ionization of the bound states that supplies the free carriers.

[ { "created": "Mon, 3 Aug 2020 14:34:11 GMT", "version": "v1" }, { "created": "Wed, 23 Dec 2020 09:04:32 GMT", "version": "v2" } ]

2020-12-24

[ [ "Ishigaki", "Shuta", "" ], [ "Nakamura", "Shin", "" ] ]

We clarify the mechanism for negative differential conductivity in holographic conductors. Negative differential conductivity is a phenomenon in which the electric field decreses with the increase of the current. This phenomenon is widely observed in strongly correlated insulators, and it has been known that some models of AdS/CFT correspondence (holographic conductors) reproduces this behaviour. We study the mechanism for negative differential conductivity in holographic conductors by analyzing the lifetime of the bound states of the charge carriers. We find that when the system exhibits negative differential conductivity, the lifetime of the bound states grows as the electric field increases. This suggests that the negative differential conductivity in this system is realized by the supression of the ionization of the bound states that supplies the free carriers.

6.519872

6.384164

6.786477

6.197065

6.708365

6.28299

6.793678

6.520284

6.032717

6.874918

6.102038

6.066006

6.151819

5.862473

6.009935

6.127831

5.999156

6.023223

5.971515

6.099743

6.072581

hep-th/9903104

Govindan Rajesh

Duiliu-Emanuel Diaconescu, Govindan Rajesh

Geometrical Aspects of Fivebranes in Heterotic/F-Theory Duality in Four Dimensions

34 pages, TeX, uses harvmac (big). v3 minor changes in references

JHEP 9906 (1999) 002

10.1088/1126-6708/1999/06/002

IASSNS-HEP-99-28

hep-th

null

We use the method of stable degenerations to study the local geometry of Calabi-Yau fourfolds for F-theory compactifications dual to heterotic compactifications on a Calabi-Yau threefold with fivebranes wrapping holomorphic curves in the threefold. When fivebranes wrap intersecting curves, or when many fivebranes wrap the same curve, the dual fourfolds degenerate in interesting ways. We find that some of these can be usefully described in terms of degenerations of the base of the elliptic fibrations of these fourfolds. We use Witten's criterion to determine which of the fivebranes can lead to the generation of a non-perturbative superpotential.

[ { "created": "Thu, 11 Mar 1999 17:11:01 GMT", "version": "v1" }, { "created": "Tue, 23 Mar 1999 18:23:41 GMT", "version": "v2" }, { "created": "Tue, 13 Apr 1999 18:22:33 GMT", "version": "v3" } ]

2009-10-31

[ [ "Diaconescu", "Duiliu-Emanuel", "" ], [ "Rajesh", "Govindan", "" ] ]

We use the method of stable degenerations to study the local geometry of Calabi-Yau fourfolds for F-theory compactifications dual to heterotic compactifications on a Calabi-Yau threefold with fivebranes wrapping holomorphic curves in the threefold. When fivebranes wrap intersecting curves, or when many fivebranes wrap the same curve, the dual fourfolds degenerate in interesting ways. We find that some of these can be usefully described in terms of degenerations of the base of the elliptic fibrations of these fourfolds. We use Witten's criterion to determine which of the fivebranes can lead to the generation of a non-perturbative superpotential.

6.350332

5.522778

7.994738

5.941013

5.961021

5.709079

5.534964

6.30314

5.744844

7.100894

5.958269

5.947134

6.574329

5.991233

5.93947

5.761242

5.744433

5.842651

6.072486

6.557841

6.134751

hep-th/0106021

Itzhak Bars

2T-Physics 2001

15 pages, LaTeX

null

10.1063/1.1454353

CITUSC/00-018, NSF-ITP-01-56

hep-th

null

The physics that is traditionally formulated in one--time-physics (1T-physics) can also be formulated in two-time-physics (2T-physics). The physical phenomena in 1T or 2T physics are not different, but the spacetime formalism used to describe them is. The 2T description involves two extra dimensions (one time and one space), is more symmetric, and makes manifest many hidden features of 1T-physics. One such hidden feature is that families of apparently different 1T-dynamical systems in d dimensions holographically describe the same 2T system in d+2 dimensions. In 2T-physics there are two timelike dimensions, but there is also a crucial gauge symmetry that thins out spacetime, thus making 2T-physics effectively equivalent to 1T-physics. The gauge symmetry is also responsible for ensuring causality and unitarity in a spacetime with two timelike dimensions. What is gained through 2T-physics is a unification of diverse 1T dynamics by making manifest hidden symmetries and relationships among them. Such symmetries and relationships is the evidence for the presence of the underlying higher dimensional spacetime structure. 2T-physics could be viewed as a device for gaining a better understanding of 1T-physics, but beyond this, 2T-physics offers new vistas in the search of the unified theory while raising deep questions about the meaning of spacetime. In these lectures, the recent developments in the powerful gauge field theory formulation of 2T-physics will be described after a brief review of the results obtained so far in the more intuitive worldline approach.

[ { "created": "Sat, 2 Jun 2001 19:19:51 GMT", "version": "v1" }, { "created": "Mon, 4 Jun 2001 23:50:34 GMT", "version": "v2" }, { "created": "Wed, 29 Aug 2001 23:41:31 GMT", "version": "v3" } ]

2009-11-07

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

The physics that is traditionally formulated in one--time-physics (1T-physics) can also be formulated in two-time-physics (2T-physics). The physical phenomena in 1T or 2T physics are not different, but the spacetime formalism used to describe them is. The 2T description involves two extra dimensions (one time and one space), is more symmetric, and makes manifest many hidden features of 1T-physics. One such hidden feature is that families of apparently different 1T-dynamical systems in d dimensions holographically describe the same 2T system in d+2 dimensions. In 2T-physics there are two timelike dimensions, but there is also a crucial gauge symmetry that thins out spacetime, thus making 2T-physics effectively equivalent to 1T-physics. The gauge symmetry is also responsible for ensuring causality and unitarity in a spacetime with two timelike dimensions. What is gained through 2T-physics is a unification of diverse 1T dynamics by making manifest hidden symmetries and relationships among them. Such symmetries and relationships is the evidence for the presence of the underlying higher dimensional spacetime structure. 2T-physics could be viewed as a device for gaining a better understanding of 1T-physics, but beyond this, 2T-physics offers new vistas in the search of the unified theory while raising deep questions about the meaning of spacetime. In these lectures, the recent developments in the powerful gauge field theory formulation of 2T-physics will be described after a brief review of the results obtained so far in the more intuitive worldline approach.

7.843876

7.627441

8.419395

7.657478

7.824929

7.916702

7.878402

7.811069

7.89378

8.843764

7.617712

7.630164

7.9046

7.70446

7.801643

7.534465

7.765285

7.669923

7.723953

7.90649

7.507178

2403.19756

Victor Eugen Ambru\c{s}

Sergio Morales-Tejera, Victor E. Ambru\c{s}, Maxim N. Chernodub

Vortical waves in a quantum fluid with vector, axial and helical charges. II. Dissipative effects

56 pages, 14 figures. Part 2

null

hep-th nucl-th physics.flu-dyn

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

In this paper, we consider the effect of interactions on the local, average polarization of a quantum plasma of massless fermion particles characterized by vector, axial, and helical quantum numbers. Due to the helical and axial vortical effects, perturbations in the vector charge in a rotating plasma can lead to chiral and helical charge transfer along the direction of the vorticity vector. At the same time, interactions between the plasma constituents lead to the dissipation of the helical charge through helicity-violating pair annihilation (HVPA) processes and of the axial charge through the axial anomaly. We will discuss separately a QED-like plasma, in which we ignore background electromagnetic fields and thus the axial charge is roughly conserved, as well as a QCD-like plasma, where instanton effects lead to the violation of the axial charge conservation, even in the absence of background chromomagnetic fields. The non-conservation of helicity and chirality leads to a gapping of the Helical, Axial and mixed, Axial-Helical vortical waves that prevents their infrared modes from propagating. On the other hand, usual dissipative effects, such as charge diffusion, lead to significant damping of ultraviolet modes. We end this paper with a discussion of the regimes where these vortical waves may propagate.

[ { "created": "Thu, 28 Mar 2024 18:11:53 GMT", "version": "v1" } ]

2024-04-01

[ [ "Morales-Tejera", "Sergio", "" ], [ "Ambruş", "Victor E.", "" ], [ "Chernodub", "Maxim N.", "" ] ]

In this paper, we consider the effect of interactions on the local, average polarization of a quantum plasma of massless fermion particles characterized by vector, axial, and helical quantum numbers. Due to the helical and axial vortical effects, perturbations in the vector charge in a rotating plasma can lead to chiral and helical charge transfer along the direction of the vorticity vector. At the same time, interactions between the plasma constituents lead to the dissipation of the helical charge through helicity-violating pair annihilation (HVPA) processes and of the axial charge through the axial anomaly. We will discuss separately a QED-like plasma, in which we ignore background electromagnetic fields and thus the axial charge is roughly conserved, as well as a QCD-like plasma, where instanton effects lead to the violation of the axial charge conservation, even in the absence of background chromomagnetic fields. The non-conservation of helicity and chirality leads to a gapping of the Helical, Axial and mixed, Axial-Helical vortical waves that prevents their infrared modes from propagating. On the other hand, usual dissipative effects, such as charge diffusion, lead to significant damping of ultraviolet modes. We end this paper with a discussion of the regimes where these vortical waves may propagate.

10.911819

10.377907

10.886985

10.765066

11.079014

10.909692

11.309714

10.832808

10.174225

12.001735

10.470757

10.025138

10.393299

10.15624

9.941585

10.336504

9.959661

10.309834

10.057478

10.508618

10.03186

hep-th/9307060

null

Jan Sladkowski

Trace anomaly of the conformal gauge field

9 pages, LaTeX file, BI-TP 93/34

Z.Phys. C60 (1993) 695-696

10.1007/BF01558399

null

hep-th

null

The proposed by Bastianelli and van Nieuwenhuizen new method of calculations of trace anomalies is applied in the conformal gauge field case. The result is then reproduced by the heat equation method. An error in previous calculation is corrected. It is pointed out that the introducing gauge symmetries into a given system by a field-enlarging transformation can result in unexpected quantum effects even for trivial configurations.

[ { "created": "Fri, 9 Jul 1993 09:28:07 GMT", "version": "v1" } ]

2009-10-22

[ [ "Sladkowski", "Jan", "" ] ]

The proposed by Bastianelli and van Nieuwenhuizen new method of calculations of trace anomalies is applied in the conformal gauge field case. The result is then reproduced by the heat equation method. An error in previous calculation is corrected. It is pointed out that the introducing gauge symmetries into a given system by a field-enlarging transformation can result in unexpected quantum effects even for trivial configurations.

27.550087

22.527002

23.90975

20.188787

23.398348

20.637527

23.115732

20.700386

20.639032

26.977327

22.34178

20.943237

20.277792

20.490496

20.805944

20.956009

21.107624

20.186016

20.733475

20.718975

21.727043

2207.00567

Filippo Revello

Joseph P. Conlon, Filippo Revello

Catch-Me-If-You-Can: The Overshoot Problem and the Weak/Inflation Hierarchy

Added references, corrected typos and improved discussion on the validity of the EFT approach. Matches published version

null

10.1007/JHEP11(2022)155

null

hep-th astro-ph.CO hep-ph

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

We study the overshoot problem in the context of post-inflationary string cosmology (in particular LVS). LVS cosmology features a long kination epoch as the volume modulus rolls down the exponential slope towards the final minimum, with an energy density that scales as $m_s^4$. This roll admits attractor tracker solutions, and if these are located the overshoot problem is solved. We show that, provided a sufficiently large hierarchy exists between the inflationary scale and the weak scale, this will always occur in LVS as initial seed radiation grows into the tracker solution. The consistency requirement of ending in a stable vacuum containing the weak hierarchy therefore gives a preference for high inflationary scales -- an anthropic argument, if one likes, for a large inflation/weak hierarchy. We discuss various origins, both universal and model-dependent, of the initial seed radiation (or matter). One particularly interesting case is that of a fundamental string network arising from brane inflation -- this may lead to an early epoch in which the universe energy density principally consists of gravitational waves, while an LVS fundamental string network survives into the present universe.

[ { "created": "Fri, 1 Jul 2022 17:42:18 GMT", "version": "v1" }, { "created": "Mon, 25 Jul 2022 16:32:56 GMT", "version": "v2" }, { "created": "Thu, 15 Dec 2022 14:40:33 GMT", "version": "v3" } ]

2022-12-16

[ [ "Conlon", "Joseph P.", "" ], [ "Revello", "Filippo", "" ] ]

We study the overshoot problem in the context of post-inflationary string cosmology (in particular LVS). LVS cosmology features a long kination epoch as the volume modulus rolls down the exponential slope towards the final minimum, with an energy density that scales as $m_s^4$. This roll admits attractor tracker solutions, and if these are located the overshoot problem is solved. We show that, provided a sufficiently large hierarchy exists between the inflationary scale and the weak scale, this will always occur in LVS as initial seed radiation grows into the tracker solution. The consistency requirement of ending in a stable vacuum containing the weak hierarchy therefore gives a preference for high inflationary scales -- an anthropic argument, if one likes, for a large inflation/weak hierarchy. We discuss various origins, both universal and model-dependent, of the initial seed radiation (or matter). One particularly interesting case is that of a fundamental string network arising from brane inflation -- this may lead to an early epoch in which the universe energy density principally consists of gravitational waves, while an LVS fundamental string network survives into the present universe.

20.28314

22.040138

22.379774

18.736166

22.6448

23.45344

21.060251

21.670757

19.946037

23.365088

19.992022

20.412498

20.281515

19.519871

20.783672

19.749144

20.077799

19.371605

19.586937

20.499702

19.445219

hep-th/9606162

Jorjadze George

George Jorjadze

Constrained Quantization on Symplectic Manifolds and Quantum Distribution Functions

42 pages

J.Math.Phys. 38 (1997) 2851-2879

10.1063/1.532052

null

hep-th

null

A quantization scheme based on the extension of phase space with application of constrained quantization technic is considered. The obtained method is similar to the geometric quantization. For constrained systems the problem of scalar product on the reduced Hilbert space is investigated and possible solution of this problem is done. Generalization of the Gupta-Bleuler like conditions is done by the minimization of quadratic fluctuations of quantum constraints. The scheme for the construction of generalized coherent states is considered and relation with Berezin quantization is found. The quantum distribution functions are introduced and their physical interpretation is discussed.

[ { "created": "Tue, 25 Jun 1996 17:02:42 GMT", "version": "v1" } ]

2009-10-30

[ [ "Jorjadze", "George", "" ] ]

A quantization scheme based on the extension of phase space with application of constrained quantization technic is considered. The obtained method is similar to the geometric quantization. For constrained systems the problem of scalar product on the reduced Hilbert space is investigated and possible solution of this problem is done. Generalization of the Gupta-Bleuler like conditions is done by the minimization of quadratic fluctuations of quantum constraints. The scheme for the construction of generalized coherent states is considered and relation with Berezin quantization is found. The quantum distribution functions are introduced and their physical interpretation is discussed.

15.14397

15.519102

13.38767

13.178445

14.027783

13.861394

14.289534

14.663849

13.877057

14.12641

13.66677

14.099666

13.425784

13.41346

13.309506

13.395573

13.711347

13.339741

13.678055

13.927776

13.44576

1205.1941

Hugh Osborn

H. Osborn

Conformal Blocks for Arbitrary Spins in Two Dimensions

7 pages, version 2 extra references and small changes, version 3 small corrections and extra material, version to be published

null

10.1016/j.physletb.2012.09.045

DAMTP/12-37

hep-th

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

Conformal blocks for four point functions for fields with arbitrary spins in two dimensions are obtained by evaluating an appropriate integral. The results are just products of hypergeometric functions of the conformally invariant cross ratios formed from the four complex coordinates. Results for scalars previously obtained are a special case. Applications to four point functions involving the energy momentum tensor are discussed.

[ { "created": "Wed, 9 May 2012 11:28:03 GMT", "version": "v1" }, { "created": "Thu, 17 May 2012 10:51:06 GMT", "version": "v2" }, { "created": "Fri, 26 Oct 2012 14:44:14 GMT", "version": "v3" } ]

2015-06-05

[ [ "Osborn", "H.", "" ] ]

Conformal blocks for four point functions for fields with arbitrary spins in two dimensions are obtained by evaluating an appropriate integral. The results are just products of hypergeometric functions of the conformally invariant cross ratios formed from the four complex coordinates. Results for scalars previously obtained are a special case. Applications to four point functions involving the energy momentum tensor are discussed.

13.064291

11.764559

11.848845

10.03259

10.688043

10.149298

10.528154

9.590778

9.100494

12.777961

9.835533

10.260127

10.808548

10.305688

9.831187

10.164757

10.188674

10.242373

10.170325

11.085678

10.232844

2208.03671

Wei-Zhong Zhao

Rui Wang, Fan Liu, Min-Li Li, Wei-Zhong Zhao

Supersymmetric partition function hierarchies and character expansions

21 pages. Revised version accepted for publication in Eur. Phys. J. C

Eur. Phys. J. C 83 (2023) 776

null

hep-th

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

We construct the supersymmetric $\beta$ and $(q,t)$-deformed Hurwitz-Kontsevich partition functions through $W$-representations and present the corresponding character expansions with respect to the Jack and Macdonald superpolynomials, respectively. Based on the constructed $\beta$ and $(q,t)$-deformed superoperators, we further give the supersymmetric $\beta$ and $(q,t)$-deformed partition function hierarchies through $W$-representations. We also present the generalized super Virasoro constraints, where the constraint operators obey the generalized super Virasoro algebra and null super 3-algebra. Moreover, the superintegrability for these (non-deformed) supersymmetric hierarchies is shown by their character expansions, i.e., $<character>\sim character$.

[ { "created": "Sun, 7 Aug 2022 08:29:50 GMT", "version": "v1" }, { "created": "Thu, 23 Mar 2023 13:50:41 GMT", "version": "v2" }, { "created": "Wed, 10 May 2023 15:37:35 GMT", "version": "v3" }, { "created": "Tue, 5 Sep 2023 00:53:08 GMT", "version": "v4" } ]

2023-09-06

[ [ "Wang", "Rui", "" ], [ "Liu", "Fan", "" ], [ "Li", "Min-Li", "" ], [ "Zhao", "Wei-Zhong", "" ] ]

We construct the supersymmetric $\beta$ and $(q,t)$-deformed Hurwitz-Kontsevich partition functions through $W$-representations and present the corresponding character expansions with respect to the Jack and Macdonald superpolynomials, respectively. Based on the constructed $\beta$ and $(q,t)$-deformed superoperators, we further give the supersymmetric $\beta$ and $(q,t)$-deformed partition function hierarchies through $W$-representations. We also present the generalized super Virasoro constraints, where the constraint operators obey the generalized super Virasoro algebra and null super 3-algebra. Moreover, the superintegrability for these (non-deformed) supersymmetric hierarchies is shown by their character expansions, i.e., $<character>\sim character$.

10.222269

8.234961

11.665477

8.54551

8.572231

8.571001

8.4238

8.603662

7.985533

13.55726

8.353575

9.078816

10.853019

9.737072

9.300605

9.790695

9.443318

9.459996

9.429552

11.117824

9.240252

hep-th/0311124

J. Mourad

C. Deffayet, J. Mourad

Multigravity from a discrete extra dimension

14 pages, v.2 reference added, footnote removed

Phys.Lett.B589:48-58,2004

10.1016/j.physletb.2004.03.053

null

hep-th gr-qc

null

Multigravity theories are constructed from the discretization of the extra dimension of five dimensional gravity. Using an ADM decomposition, the discretization is performed while maintaining the four dimensional diffeomorphism invariance on each site. We relate the Goldstone bosons used to realize nonlinearly general covariance in discretized gravity to the shift fields of the higher dimensional metric. We investigate the scalar excitations of the resulting theory and show the absence of ghosts and massive modes; this is due to a local symmetry inherited from the reparametrization invariance along the fifth dimension.

[ { "created": "Fri, 14 Nov 2003 16:42:55 GMT", "version": "v1" }, { "created": "Thu, 20 Nov 2003 11:36:18 GMT", "version": "v2" } ]

2009-10-07

[ [ "Deffayet", "C.", "" ], [ "Mourad", "J.", "" ] ]

Multigravity theories are constructed from the discretization of the extra dimension of five dimensional gravity. Using an ADM decomposition, the discretization is performed while maintaining the four dimensional diffeomorphism invariance on each site. We relate the Goldstone bosons used to realize nonlinearly general covariance in discretized gravity to the shift fields of the higher dimensional metric. We investigate the scalar excitations of the resulting theory and show the absence of ghosts and massive modes; this is due to a local symmetry inherited from the reparametrization invariance along the fifth dimension.

14.284696

14.542085

14.362106

12.70164

13.217791

12.849917

13.973527

13.466443

13.68375

14.906406

13.461211

12.687113

13.3499

12.896916

13.345711

13.172605

12.338925

12.774529

12.385032

13.166256

12.708444

1807.07357

Jarkko J\"arvel\"a

Jan de Boer, Jarkko J\"arvel\"a, Esko Keski-Vakkuri

Aspects of capacity of entanglement

v2: typo fixes, additional references; an upper bound on the variance of Shannon information and comparison with Popoviciu's inequality on variances

Phys. Rev. D 99, 066012 (2019)

10.1103/PhysRevD.99.066012

HIP-2018-25/TH

hep-th cond-mat.str-el quant-ph

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

Many quantum information theoretic quantities are similar to and/or inspired by thermodynamic quantities, with entanglement entropy being a well-known example. In this paper, we study a less well-known example, capacity of entanglement, which is the quantum information theoretic counterpart of heat capacity. It can be defined as the second cumulant of the entanglement spectrum and can be loosely thought of as the variance in the entanglement entropy. We review the definition of capacity of entanglement and its relation to various other quantities such as fidelity susceptibility and Fisher information. We then calculate the capacity of entanglement for various quantum systems, conformal and non-conformal quantum field theories in various dimensions, and examine their holographic gravity duals. Resembling the relation between response coefficients and order parameter fluctuations in Landau-Ginzburg theories, the capacity of entanglement in field theory is related to integrated gravity fluctuations in the bulk. We address the question of measurability, in the context of proposals to measure entanglement and R\'enyi entropies by relating them to $U(1)$ charges fluctuating in and out of a subregion, for systems equivalent to non-interacting fermions. From our analysis, we find universal features in conformal field theories, in particular the area dependence of the capacity of entanglement appears to track that of the entanglement entropy. This relation is seen to be modified under perturbations from conformal invariance. In quenched 1+1 dimensional CFTs, we compute the rate of growth of the capacity of entanglement. The result may be used to refine the interpretation of entanglement spreading being carried by ballistic propagation of entangled quasiparticle pairs created at the quench.

[ { "created": "Thu, 19 Jul 2018 12:04:31 GMT", "version": "v1" }, { "created": "Fri, 23 Nov 2018 13:10:11 GMT", "version": "v2" } ]

2019-04-03

[ [ "de Boer", "Jan", "" ], [ "Järvelä", "Jarkko", "" ], [ "Keski-Vakkuri", "Esko", "" ] ]

Many quantum information theoretic quantities are similar to and/or inspired by thermodynamic quantities, with entanglement entropy being a well-known example. In this paper, we study a less well-known example, capacity of entanglement, which is the quantum information theoretic counterpart of heat capacity. It can be defined as the second cumulant of the entanglement spectrum and can be loosely thought of as the variance in the entanglement entropy. We review the definition of capacity of entanglement and its relation to various other quantities such as fidelity susceptibility and Fisher information. We then calculate the capacity of entanglement for various quantum systems, conformal and non-conformal quantum field theories in various dimensions, and examine their holographic gravity duals. Resembling the relation between response coefficients and order parameter fluctuations in Landau-Ginzburg theories, the capacity of entanglement in field theory is related to integrated gravity fluctuations in the bulk. We address the question of measurability, in the context of proposals to measure entanglement and R\'enyi entropies by relating them to $U(1)$ charges fluctuating in and out of a subregion, for systems equivalent to non-interacting fermions. From our analysis, we find universal features in conformal field theories, in particular the area dependence of the capacity of entanglement appears to track that of the entanglement entropy. This relation is seen to be modified under perturbations from conformal invariance. In quenched 1+1 dimensional CFTs, we compute the rate of growth of the capacity of entanglement. The result may be used to refine the interpretation of entanglement spreading being carried by ballistic propagation of entangled quasiparticle pairs created at the quench.

7.587109

7.972998

8.014334

7.629756

7.534994

7.731299

8.13608

7.76467

7.280504

8.853033

7.546179

7.161651

7.406002

7.291924

7.228098

7.443651

7.221204

7.227904

7.259521

7.564142

7.181561

0707.0015

G\'abor Zsolt T\'oth

Gabor Zsolt Toth (Hungarian Acad. Sci., Budapest)

Investigations in Two-Dimensional Quantum Field Theory by the Bootstrap and TCSA Methods

PhD thesis, 195 pages, v2: minor correction in section 3.4.1

null

hep-th

null

This thesis contains three main parts, which are largely independent. In the first part we deal with the boundary bootstrap in supersymmetric factorized scattering theory. We give a description of supersymmetry in the case when the space is a half-line and present rules for the determination of the representations in which higher level boundary bound states transform, and for the determination of the supersymmetric one-particle reflection matrix factors for the higher level boundary bound states. These rules apply under the condition that the bulk particles transform in the kink or in the boson-fermion representation. Examples for the application of these rules to specific models are also given. In the second part we investigate the problem whether the TCSA spectrum can be approximated by the spectrum of the original Hamiltonian operator in which the coefficients of the terms are suitably changed. The investigation is done in the case of the critical Ising model on a strip with an external magnetic field on one of the boundaries. Another truncation method that preserves the solvability of the model is also considered. The results of perturbative and numerical calculations show that the above approximation is possible and that the qualitative behaviour of the truncated spectrum as a function of the coupling constant depends on the truncation method. In the third part we investigate the phase structure of the two- and three-frequency sine-Gordon models using the TCSA. In the case of the three-frequency model the tricritical point, several points of the critical line and a few points of the line of first order transition are found.

[ { "created": "Sat, 30 Jun 2007 19:26:57 GMT", "version": "v1" }, { "created": "Wed, 21 Nov 2007 18:08:53 GMT", "version": "v2" } ]

2007-11-21

[ [ "Toth", "Gabor Zsolt", "", "Hungarian Acad. Sci., Budapest" ] ]

This thesis contains three main parts, which are largely independent. In the first part we deal with the boundary bootstrap in supersymmetric factorized scattering theory. We give a description of supersymmetry in the case when the space is a half-line and present rules for the determination of the representations in which higher level boundary bound states transform, and for the determination of the supersymmetric one-particle reflection matrix factors for the higher level boundary bound states. These rules apply under the condition that the bulk particles transform in the kink or in the boson-fermion representation. Examples for the application of these rules to specific models are also given. In the second part we investigate the problem whether the TCSA spectrum can be approximated by the spectrum of the original Hamiltonian operator in which the coefficients of the terms are suitably changed. The investigation is done in the case of the critical Ising model on a strip with an external magnetic field on one of the boundaries. Another truncation method that preserves the solvability of the model is also considered. The results of perturbative and numerical calculations show that the above approximation is possible and that the qualitative behaviour of the truncated spectrum as a function of the coupling constant depends on the truncation method. In the third part we investigate the phase structure of the two- and three-frequency sine-Gordon models using the TCSA. In the case of the three-frequency model the tricritical point, several points of the critical line and a few points of the line of first order transition are found.

8.131276

8.29471

9.680977

8.024763

8.139731

7.766482

8.228259

8.498026

7.74806

9.903511

8.021039

7.707919

8.334568

7.928177

7.945698

7.818215

8.075115

7.957852

7.872756

8.305022

7.737632

2109.03363

M\'aria \v{S}ubjakov\'a

M\'aria \v{S}ubjakov\'a, Juraj Tekel

Beyond second-moment approximation in fuzzy-field-theory-like matrix models

Minor typos corrected, published version

J. High Energ. Phys. 2022, 65 (2022)

10.1007/JHEP02(2022)065

null

hep-th

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

We investigate the phase structure of a special class of multi-trace hermitian matrix models, which are candidates for the description of scalar field theory on fuzzy spaces. We include up to the fourth moment of the eigenvalue distribution into the multi-trace part of the probability distribution, which stems from the kinetic term of the field theory action. We show that by considering different multi-trace behavior in the large moment and in the small moment regimes of the model, it is possible to obtain a matrix model, which describes the numerically observed phase structure of fuzzy field theories. Including the existence of uniform order phase, triple point, and an approximately straight transition line between the uniform and non-uniform order phases.

[ { "created": "Tue, 7 Sep 2021 22:48:06 GMT", "version": "v1" }, { "created": "Sun, 19 Sep 2021 11:10:18 GMT", "version": "v2" }, { "created": "Thu, 16 Dec 2021 18:50:56 GMT", "version": "v3" }, { "created": "Thu, 10 Feb 2022 16:38:36 GMT", "version": "v4" } ]

2022-02-11

[ [ "Šubjaková", "Mária", "" ], [ "Tekel", "Juraj", "" ] ]

We investigate the phase structure of a special class of multi-trace hermitian matrix models, which are candidates for the description of scalar field theory on fuzzy spaces. We include up to the fourth moment of the eigenvalue distribution into the multi-trace part of the probability distribution, which stems from the kinetic term of the field theory action. We show that by considering different multi-trace behavior in the large moment and in the small moment regimes of the model, it is possible to obtain a matrix model, which describes the numerically observed phase structure of fuzzy field theories. Including the existence of uniform order phase, triple point, and an approximately straight transition line between the uniform and non-uniform order phases.

12.109369

11.984709

13.368322

10.889786

12.112915

11.101846

11.267492

10.904748

10.545484

13.76294

10.844579

10.371548

12.558861

11.266847

11.505771

11.430378

10.878471

11.169978

11.206066

12.719126

11.288083

0808.1244

Alberto Zaffaroni

Amihay Hanany and Alberto Zaffaroni

Tilings, Chern-Simons Theories and M2 Branes

23 pages, minor changes, references added

JHEP 0810:111,2008

10.1088/1126-6708/2008/10/111

null

hep-th

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

A new infinite class of Chern-Simons theories is presented using brane tilings. The new class reproduces all known cases so far and introduces many new models that are dual to M2 brane theories which probe a toric non-compact CY 4-fold. The master space of the quiver theory is used as a tool to construct the moduli space for this class and the Hilbert Series is computed for a selected set of examples.

[ { "created": "Fri, 8 Aug 2008 17:01:51 GMT", "version": "v1" }, { "created": "Mon, 29 Sep 2008 14:46:38 GMT", "version": "v2" } ]

2014-11-18

[ [ "Hanany", "Amihay", "" ], [ "Zaffaroni", "Alberto", "" ] ]

A new infinite class of Chern-Simons theories is presented using brane tilings. The new class reproduces all known cases so far and introduces many new models that are dual to M2 brane theories which probe a toric non-compact CY 4-fold. The master space of the quiver theory is used as a tool to construct the moduli space for this class and the Hilbert Series is computed for a selected set of examples.

12.34711

9.139297

13.637896

10.082298

11.76907

10.9988

10.376925

10.3036

9.982967

12.28851

10.083029

10.511844

12.588944

10.807793

10.806729

10.678129

10.520464

10.657787

10.96608

12.445216

10.032827

hep-th/9704073

Alexander Kusenko

Alexander Kusenko (CERN)

Small Q balls

10 pages, latex, epsf, 2 figures included

Phys.Lett. B404 (1997) 285

10.1016/S0370-2693(97)00582-0

CERN-TH/97-69

hep-th hep-ph

null

We develop an adequate description of non-topological solitons with a small charge, for which the thin-wall approximation is not valid. There is no classical lower limit on the charge of a stable Q-ball. We examine the parameters of these small-charge solitons and discuss the limits of applicability of the semiclassical approximation.

[ { "created": "Wed, 9 Apr 1997 15:01:58 GMT", "version": "v1" } ]

2009-10-30

[ [ "Kusenko", "Alexander", "", "CERN" ] ]

We develop an adequate description of non-topological solitons with a small charge, for which the thin-wall approximation is not valid. There is no classical lower limit on the charge of a stable Q-ball. We examine the parameters of these small-charge solitons and discuss the limits of applicability of the semiclassical approximation.

10.743982

9.147051

8.167172

8.771138

9.716469

9.345448

8.77255

9.569833

8.593384

9.5951

9.364361

9.500448

9.384444

9.423985

9.629491

9.699639

9.437091

9.891736

9.582866

9.622814

9.655604

hep-th/9712118

Mirjam Cvetic

Mirjam Cvetic and Finn Larsen

Greybody Factors for Black Holes in Four Dimensions: Particles with Spin

25 pages, Latex

Phys.Rev.D57:6297-6310,1998

10.1103/PhysRevD.57.6297

UPR-786-T

hep-th

null

We compute the emission spectrum of minimally coupled particles with spin that are Hawking radiated from four dimensional black holes in string theory. For a range of the black hole parameters the result has a product structure that may be interpreted in terms of the respective right- and left-moving thermal correlation functions of an effective string model. For spin-one and spin-two particles a novel cancellation between contributions to the wave function is needed to ensure this outcome. The form of the spectra suggests that the four-dimensional effective string description is ``heterotic'': particles with spin are emitted from the right-moving sector, only.

[ { "created": "Thu, 11 Dec 1997 23:03:39 GMT", "version": "v1" } ]

2009-09-17

[ [ "Cvetic", "Mirjam", "" ], [ "Larsen", "Finn", "" ] ]

We compute the emission spectrum of minimally coupled particles with spin that are Hawking radiated from four dimensional black holes in string theory. For a range of the black hole parameters the result has a product structure that may be interpreted in terms of the respective right- and left-moving thermal correlation functions of an effective string model. For spin-one and spin-two particles a novel cancellation between contributions to the wave function is needed to ensure this outcome. The form of the spectra suggests that the four-dimensional effective string description is ``heterotic'': particles with spin are emitted from the right-moving sector, only.

16.575214

15.141685

16.541607

14.126304

16.32424

14.232228

14.665395

14.133838

13.904031

17.638786

13.64168

14.331756

15.81361

14.598378

14.828742

14.256763

13.922946

14.536846

14.630196

14.963542

13.884357

2404.10810

Hong Zhe Chen

Disentanglement as a strong cosmic censor

Gravity Research Foundation essay, details added as footnotes and appendix, 27 pages, 5 figures

null

hep-th gr-qc

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

If entanglement builds spacetime, then conversely, disentanglement ought to destroy spacetime. From the quantum null energy condition and quantum focusing conjecture, we obtain disentanglement criteria which necessitate infinite energies and strong spacetime singularities. We apply our results to the strong cosmic censorship proposal, where strong singularities at the Cauchy horizons in black holes are desirable. Using our disentanglement criteria and without resorting to any detailed calculations, we provide an exceedingly general and physically transparent discussion of strong cosmic censorship in semiclassical black holes. We argue that strong cosmic censorship is enforced in asymptotically flat and de Sitter black holes by disentanglement and describe how similar disentanglement might be avoided in some anti-de Sitter cases.

[ { "created": "Tue, 16 Apr 2024 18:00:00 GMT", "version": "v1" } ]

2024-04-18

[ [ "Chen", "Hong Zhe", "" ] ]

If entanglement builds spacetime, then conversely, disentanglement ought to destroy spacetime. From the quantum null energy condition and quantum focusing conjecture, we obtain disentanglement criteria which necessitate infinite energies and strong spacetime singularities. We apply our results to the strong cosmic censorship proposal, where strong singularities at the Cauchy horizons in black holes are desirable. Using our disentanglement criteria and without resorting to any detailed calculations, we provide an exceedingly general and physically transparent discussion of strong cosmic censorship in semiclassical black holes. We argue that strong cosmic censorship is enforced in asymptotically flat and de Sitter black holes by disentanglement and describe how similar disentanglement might be avoided in some anti-de Sitter cases.

10.518244

10.680478

11.141009

9.175755

9.999299

12.065277

11.08441

10.459791

10.500582

11.228802

9.810404

10.363552

10.000093

9.988341

10.473327

10.443004

10.750648

10.066136

10.383689

10.650148

9.744283

2405.13706

William Delplanque

William Delplanque and Evgeny Skvortsov

Symmetric vs. chiral approaches to massive fields with spin

37 pages

null

hep-th

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

Massive higher spin fields are notoriously difficult to introduce interactions when they are described by symmetric (spin)-tensors. An alternative approach is to use chiral description that does not have unphysical longitudinal modes. For low spin fields we show that chiral and symmetric approaches can be related via a family of invertible change of variables (equivalent to parent actions), which should facilitate introduction of consistent interactions in the symmetric approach and help to control parity in the chiral one. We consider some examples of electromagnetic and gravitational interactions and their transmutations when going to the chiral formulation. An interesting feature of the relation is how second class constraints get eliminated while preserving Lorentz invariance.

[ { "created": "Wed, 22 May 2024 14:54:44 GMT", "version": "v1" } ]

2024-05-24

[ [ "Delplanque", "William", "" ], [ "Skvortsov", "Evgeny", "" ] ]

Massive higher spin fields are notoriously difficult to introduce interactions when they are described by symmetric (spin)-tensors. An alternative approach is to use chiral description that does not have unphysical longitudinal modes. For low spin fields we show that chiral and symmetric approaches can be related via a family of invertible change of variables (equivalent to parent actions), which should facilitate introduction of consistent interactions in the symmetric approach and help to control parity in the chiral one. We consider some examples of electromagnetic and gravitational interactions and their transmutations when going to the chiral formulation. An interesting feature of the relation is how second class constraints get eliminated while preserving Lorentz invariance.

19.975868

16.371893

19.074863

17.353193

17.866596

18.794399

17.285044

17.170275

16.097046

18.620846

16.921417

16.467182

17.746931

16.615

16.708481

16.341734

16.557161

16.968662

16.435881

18.010149

16.378519

hep-th/0210223

Par Arvidsson

Par Arvidsson, Erik Flink and Mans Henningson

Thomson scattering of chiral tensors and scalars against a self-dual string

24 pages, LaTeX, 2 figures. v2: added discussion on supersymmetry in Ch. 4

JHEP0212:010,2002

10.1088/1126-6708/2002/12/010

null

hep-th

null

We give a non-technical outline of a program to study the (2,0) theories in six space-time dimensions. Away from the origin of their moduli space, these theories describe the interactions of tensor multiplets and self-dual spinning strings. We argue that if the ratio between the square of the energy of a process and the string tension is taken to be small, it should be possible to study the dynamics of such a system perturbatively in this parameter. As a first step in this direction, we perform a classical computation of the amplitude for scattering chiral tensor and scalar fields (i.e. the bosonic part of a tensor multiplet) against a self-dual spinnless string.

[ { "created": "Wed, 23 Oct 2002 13:31:47 GMT", "version": "v1" }, { "created": "Tue, 17 Dec 2002 15:03:51 GMT", "version": "v2" } ]

2009-11-07

[ [ "Arvidsson", "Par", "" ], [ "Flink", "Erik", "" ], [ "Henningson", "Mans", "" ] ]

We give a non-technical outline of a program to study the (2,0) theories in six space-time dimensions. Away from the origin of their moduli space, these theories describe the interactions of tensor multiplets and self-dual spinning strings. We argue that if the ratio between the square of the energy of a process and the string tension is taken to be small, it should be possible to study the dynamics of such a system perturbatively in this parameter. As a first step in this direction, we perform a classical computation of the amplitude for scattering chiral tensor and scalar fields (i.e. the bosonic part of a tensor multiplet) against a self-dual spinnless string.

7.639813

7.181179

9.195436

7.361597

7.387083

8.485567

7.985932

7.582997

7.362277

7.817725

7.584948

7.513017

7.291886

7.100877

7.140323

7.347284

7.313879

7.52721

7.259719

7.163126

7.211124

hep-th/0501035

Wen-Fa Lu

A Variational Perturbation Approach to One-Point Functions in QFT

revised version, 42 pages, 14 EPS-figures, LaTex, adding an analysis on divergences in the Gaussian smearing formulae and a comparison with a perturbative result

null

hep-th

null

In this paper, we develop a variational perturbation (VP) scheme for calculating vacuum expectation values (VEVs) of local fields in quantum field theories. For a comparatively general scalar field model, the VEV of a comparatively general local field is expanded and truncated at second order in the VP scheme. The resultant truncated expressions (we call Gaussian smearing formulae) consist mainly of Gaussian transforms of the local-field function, the model-potential function and their derivatives, and so can be used to skip calculations on path integrals in a concrete theory. As an application, the VP expansion series of the VEV of a local exponential field in the sine- and sinh-Gordon field theories is truncated and derived up to second order equivalently by directly performing the VP scheme, by finishing ordinary integrations in the Gaussian smearing formulae, and by borrowing Feynman diagrammatic technique, respectively. Furthermore, the one-order VP results of the VEV in the two-dimensional sine- and sinh-Gordon field theories are numerically calculated and compared with the exact results conjectured by Lukyanov, Zamolodchikov $et al.$, or with the one-order perturbative results obtained by Poghossian. The comparisons provide a strong support to the conjectured exact formulae and illustrate non-perturbability of the VP scheme.

[ { "created": "Thu, 6 Jan 2005 15:38:48 GMT", "version": "v1" }, { "created": "Fri, 10 Jun 2005 15:29:29 GMT", "version": "v2" } ]

2007-05-23

[ [ "Lu", "Wen-Fa", "" ] ]

In this paper, we develop a variational perturbation (VP) scheme for calculating vacuum expectation values (VEVs) of local fields in quantum field theories. For a comparatively general scalar field model, the VEV of a comparatively general local field is expanded and truncated at second order in the VP scheme. The resultant truncated expressions (we call Gaussian smearing formulae) consist mainly of Gaussian transforms of the local-field function, the model-potential function and their derivatives, and so can be used to skip calculations on path integrals in a concrete theory. As an application, the VP expansion series of the VEV of a local exponential field in the sine- and sinh-Gordon field theories is truncated and derived up to second order equivalently by directly performing the VP scheme, by finishing ordinary integrations in the Gaussian smearing formulae, and by borrowing Feynman diagrammatic technique, respectively. Furthermore, the one-order VP results of the VEV in the two-dimensional sine- and sinh-Gordon field theories are numerically calculated and compared with the exact results conjectured by Lukyanov, Zamolodchikov $et al.$, or with the one-order perturbative results obtained by Poghossian. The comparisons provide a strong support to the conjectured exact formulae and illustrate non-perturbability of the VP scheme.

10.016037

10.200668

11.733608

9.808639

9.8067

9.711973

10.160638

11.000337

9.844774

12.199096

10.251574

9.312813

9.634529

9.565825

9.730527

9.64526

9.904496

9.654225

9.647507

9.819556

9.831126

1607.01316

Victor Rivelles

Victor O. Rivelles

Remarks on a Gauge Theory for Continuous Spin Particles

21 pages, typos corrected, improved presentation of section VI, final version

null

10.1140/epjc/s10052-017-4927-1

null

hep-th

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

We discuss in a systematic way the gauge theory for a continuous spin particle proposed by Schuster and Toro. We show that it is naturally formulated in a cotangent bundle over Minkowski spacetime where the gauge field depends on the spacetime coordinate ${x^\mu}$ and on a covector $\eta_\mu$. We discuss how fields can be expanded in $\eta_\mu$ in different ways and how these expansions are related to each other. The field equation has a derivative of a Dirac delta function with support on the $\eta$-hyperboloid $\eta^2+1=0$ and we show how it restricts the dynamics of the gauge field to the $\eta$-hyperboloid. We then show that on-shell the field carries one single irreducible unitary representation of the Poincar\'e group for a continuous spin particle. We also show how the field can be used to build a set of covariant equations found by Wigner describing the wave function of one-particle states for a continuous spin particle. Finally we show that it is not possible to couple minimally a continuous spin particle to a background abelian gauge field, and make some comments about the coupling to gravity.

[ { "created": "Tue, 5 Jul 2016 16:26:25 GMT", "version": "v1" }, { "created": "Mon, 11 Jul 2016 18:30:50 GMT", "version": "v2" }, { "created": "Tue, 1 Nov 2016 13:20:49 GMT", "version": "v3" }, { "created": "Wed, 28 Jun 2017 23:21:02 GMT", "version": "v4" } ]

2017-08-02

[ [ "Rivelles", "Victor O.", "" ] ]

We discuss in a systematic way the gauge theory for a continuous spin particle proposed by Schuster and Toro. We show that it is naturally formulated in a cotangent bundle over Minkowski spacetime where the gauge field depends on the spacetime coordinate ${x^\mu}$ and on a covector $\eta_\mu$. We discuss how fields can be expanded in $\eta_\mu$ in different ways and how these expansions are related to each other. The field equation has a derivative of a Dirac delta function with support on the $\eta$-hyperboloid $\eta^2+1=0$ and we show how it restricts the dynamics of the gauge field to the $\eta$-hyperboloid. We then show that on-shell the field carries one single irreducible unitary representation of the Poincar\'e group for a continuous spin particle. We also show how the field can be used to build a set of covariant equations found by Wigner describing the wave function of one-particle states for a continuous spin particle. Finally we show that it is not possible to couple minimally a continuous spin particle to a background abelian gauge field, and make some comments about the coupling to gravity.

6.334062

6.537951

7.069486

6.281807

6.467185

6.398993

7.071603

6.291292

6.22973

6.887737

6.451812

6.217789

6.49993

6.222589

6.392893

6.28986

6.342191

6.169152

6.246987

6.442573

6.080918

hep-th/0003215

Jaume Gomis

Jaume Gomis, Matthew Kleban, Thomas Mehen, Mukund Rangamani and Stephen Shenker

Noncommutative Gauge Dynamics From The String Worldsheet

19 pages, harvmac.tex, 2 figures, references added, typos corrected

JHEP 0008:011,2000

10.1088/1126-6708/2000/08/011

null

hep-th

null

We show how string theory can be used to reproduce the one-loop two-point photon amplitude in noncommutative U(1) gauge theory. Using a simple realization of the gauge theory in bosonic string theory, we extract from a string cylinder computation in the decoupling limit the exact one loop field theory result. The result is obtained entirely from the region of moduli space where massless open strings dominate. Our computation indicates that the unusual IR/UV singularities of noncommutative field theory do not come from closed string modes in any simple way.

[ { "created": "Thu, 23 Mar 2000 22:14:50 GMT", "version": "v1" }, { "created": "Sun, 14 May 2000 23:54:31 GMT", "version": "v2" } ]

2010-11-26

[ [ "Gomis", "Jaume", "" ], [ "Kleban", "Matthew", "" ], [ "Mehen", "Thomas", "" ], [ "Rangamani", "Mukund", "" ], [ "Shenker", "Stephen", "" ] ]

We show how string theory can be used to reproduce the one-loop two-point photon amplitude in noncommutative U(1) gauge theory. Using a simple realization of the gauge theory in bosonic string theory, we extract from a string cylinder computation in the decoupling limit the exact one loop field theory result. The result is obtained entirely from the region of moduli space where massless open strings dominate. Our computation indicates that the unusual IR/UV singularities of noncommutative field theory do not come from closed string modes in any simple way.

10.451114

9.333823

10.650334

9.076591

9.403724

9.399984

9.777064

9.472124

9.131385

11.021583

8.854802

9.603947

10.321684

9.256653

9.261068

9.181562

9.229114

9.476509

9.253055

10.113894

9.352026

hep-th/0212205

Luis Alejandro Correa Borbonet

Elcio Abdalla, L.Alejandro Correa-Borbonet

The Elliptic Solutions to the Friedmann equation and the Verlinde's Maps

9 pages, latex

null

hep-th

null

We considered the solutions of the Friedmann equation in several setups, arguing that the Weierstra$\ss$ form of the solutions leads to connections with some Conformal Field Theory on a torus. Thus a link with the Cardy entropy formula is obtained in a quite natural way. The argument is shown to be valid in a four dimensional radiation dominated universe with a cosmological constant as well as in four further different Universes.

[ { "created": "Tue, 17 Dec 2002 18:07:47 GMT", "version": "v1" } ]

2007-05-23

[ [ "Abdalla", "Elcio", "" ], [ "Correa-Borbonet", "L. Alejandro", "" ] ]

We considered the solutions of the Friedmann equation in several setups, arguing that the Weierstra$\ss$ form of the solutions leads to connections with some Conformal Field Theory on a torus. Thus a link with the Cardy entropy formula is obtained in a quite natural way. The argument is shown to be valid in a four dimensional radiation dominated universe with a cosmological constant as well as in four further different Universes.

19.706348

18.318863

15.771368

16.536789

17.558498

17.155609

16.991774

15.486953

18.044886

17.636238

16.120562

17.040613

16.567589

16.633961

16.833235

17.228554

16.546099

16.640078

16.882645

16.965706

17.081434

hep-th/9503030

Constantin Bachas

C. Bachas (Ecole Polytechnique)

A WAY TO BREAK SUPERSYMMETRY

20 pages, Latex file

null

CPTH/RR.349.0395

hep-th

null

I study the spontaneous breakdown of supersymmetry when higher-dimensional Yang-Mills or the type-I $SO(32)$ string theory are compactified on magnetized tori. Because of the universal gyromagnetic ratio $g=2$, the splittings of all multiplets are given by the product of charge times internal helicity operators. As a result such compactifications have two remarkable and robust features: {\it (a)} they can reconcile {\it chirality} with {\it extended} low-energy supersymmetry in the limit of large tori, and {\it (b)} they can trigger gauge-symmetry breaking, via Nielsen-Olesen instabilities, at a scale tied classically to $m_{SUSY}$. I exhibit a compactification of the $SO(32)$ superstring, in which magnetic fields break spontaneously $N=4$ supersymmetry, produce the standard-model gauge group with three chiral families of quarks and leptons, and trigger electroweak symmetry breaking. I discuss supertrace relations and the ensuing ultraviolet softness. As with other known mechanisms of supersymmetry breaking, the one proposed here faces two open problems: the threat to perturbative calculability in the decompactification limit, and the problem of gravitational stability and in particular of the cosmological constant. I explain, however, why a good classical description of the vacuum may require small tadpoles for the dilaton, moduli and metric.

[ { "created": "Mon, 6 Mar 1995 08:10:39 GMT", "version": "v1" } ]

2016-09-06

[ [ "Bachas", "C.", "", "Ecole Polytechnique" ] ]

I study the spontaneous breakdown of supersymmetry when higher-dimensional Yang-Mills or the type-I $SO(32)$ string theory are compactified on magnetized tori. Because of the universal gyromagnetic ratio $g=2$, the splittings of all multiplets are given by the product of charge times internal helicity operators. As a result such compactifications have two remarkable and robust features: {\it (a)} they can reconcile {\it chirality} with {\it extended} low-energy supersymmetry in the limit of large tori, and {\it (b)} they can trigger gauge-symmetry breaking, via Nielsen-Olesen instabilities, at a scale tied classically to $m_{SUSY}$. I exhibit a compactification of the $SO(32)$ superstring, in which magnetic fields break spontaneously $N=4$ supersymmetry, produce the standard-model gauge group with three chiral families of quarks and leptons, and trigger electroweak symmetry breaking. I discuss supertrace relations and the ensuing ultraviolet softness. As with other known mechanisms of supersymmetry breaking, the one proposed here faces two open problems: the threat to perturbative calculability in the decompactification limit, and the problem of gravitational stability and in particular of the cosmological constant. I explain, however, why a good classical description of the vacuum may require small tadpoles for the dilaton, moduli and metric.

11.324193

12.387446

12.300278

11.125792

12.435465

11.744362

11.998781

11.858754

10.682477

12.433001

10.953148

11.124063

11.552631

11.050447

11.24828

11.397233

11.392403

11.363624

11.266176

11.569037

11.052183

2004.10722

Davide Fioravanti

Davide Fioravanti, Marco Rossi, Hongfei Shu

$QQ$-system and non-linear integral equations for scattering amplitudes at strong coupling

Latex, 22 pages

null

10.1007/JHEP12(2020)086

NORDITA 2020-035

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

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

We provide the two fundamental sets of functional relations which describe the strong coupling limit of scattering amplitudes in $\mathcal{N} = 4$ SYM dual to Wilson loops in $AdS_3$: the basic $QQ$-system and the derived $TQ$-system. We use the $TQ$ relations and the knowledge of the main properties of the $Q$-function (eigenvalue of some $Q$-operator) to write the Bethe Ansatz equations, {\it viz.} a set of ('complex') non-linear-integral equations, whose solutions give exact values to the strong coupling amplitudes/Wilson loops. Moreover, they have some advantages with respect to the ('real') non-linear-integral equations of Thermodynamic Bethe Ansatz and still reproduce, both analytically and numerically, the findings coming from the latter. In any case, these new functional and integral equations give a larger perspective on the topic.

[ { "created": "Wed, 22 Apr 2020 17:23:44 GMT", "version": "v1" } ]

2020-12-30

[ [ "Fioravanti", "Davide", "" ], [ "Rossi", "Marco", "" ], [ "Shu", "Hongfei", "" ] ]

We provide the two fundamental sets of functional relations which describe the strong coupling limit of scattering amplitudes in $\mathcal{N} = 4$ SYM dual to Wilson loops in $AdS_3$: the basic $QQ$-system and the derived $TQ$-system. We use the $TQ$ relations and the knowledge of the main properties of the $Q$-function (eigenvalue of some $Q$-operator) to write the Bethe Ansatz equations, {\it viz.} a set of ('complex') non-linear-integral equations, whose solutions give exact values to the strong coupling amplitudes/Wilson loops. Moreover, they have some advantages with respect to the ('real') non-linear-integral equations of Thermodynamic Bethe Ansatz and still reproduce, both analytically and numerically, the findings coming from the latter. In any case, these new functional and integral equations give a larger perspective on the topic.

10.760489

10.607699

11.139179

9.868328

10.450655

11.267691

10.232874

9.999121

9.607437

11.852991

9.959307

10.22008

10.52171

10.113266

9.992076

9.59911

9.791063

10.024794

9.918294

11.122882

9.99052

0805.1950

Clifford V. Johnson

Veselin G. Filev, Clifford V. Johnson

Universality in the Large N_c Dynamics of Flavour: Thermal Vs. Quantum Induced Phase Transitions

22 pages, 4 figures, pdfLaTeX

JHEP 0810:058,2008

10.1088/1126-6708/2008/10/058

null

hep-th

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

We show how two important types of phase transition in large N_c gauge theory with fundamental flavours can be cast into the same classifying framework as the meson-melting phase transition. These are quantum fluctuation induced transitions in the presence of an external electric field, or a chemical potential for R-charge. The classifying framework involves the study of the local geometry of a special D-brane embedding, which seeds a self-similar spiral structure in the space of embeddings. The properties of this spiral, characterized by a pair of numbers, capture some key universal features of the transition. Computing these numbers for these non-thermal cases, we find that these transitions are in the same universality class as each other, but have different universal features from the thermal case. We present a natural generalization that yields new universality classes that may pertain to other types of transition.

[ { "created": "Tue, 13 May 2008 22:43:54 GMT", "version": "v1" } ]

2009-01-06

[ [ "Filev", "Veselin G.", "" ], [ "Johnson", "Clifford V.", "" ] ]

We show how two important types of phase transition in large N_c gauge theory with fundamental flavours can be cast into the same classifying framework as the meson-melting phase transition. These are quantum fluctuation induced transitions in the presence of an external electric field, or a chemical potential for R-charge. The classifying framework involves the study of the local geometry of a special D-brane embedding, which seeds a self-similar spiral structure in the space of embeddings. The properties of this spiral, characterized by a pair of numbers, capture some key universal features of the transition. Computing these numbers for these non-thermal cases, we find that these transitions are in the same universality class as each other, but have different universal features from the thermal case. We present a natural generalization that yields new universality classes that may pertain to other types of transition.

12.853597

11.096358

13.129981

11.135794

11.427378

10.957708

11.190023

10.726038

11.525385

14.967959

11.495706

11.120212

11.72386

11.320883

11.214189

11.359571

11.239518

11.282973

11.366813

12.266232

11.216119

1810.12311

Olaf Hohm

Olaf Hohm and Henning Samtleben

Reviving 3D ${\cal N}=8$ superconformal field theories

32 pages, v2: minor changes, version to appear in JHEP

null

10.1007/JHEP04(2019)047

HU-EP-18/31

hep-th math-ph math.MP

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

We present a Lagrangian formulation for ${\cal N}=8$ superconformal field theories in three spacetime dimensions that is general enough to encompass infinite-dimensional gauge algebras that generally go beyond Lie algebras. To this end we employ Chern-Simons theories based on Leibniz algebras, which give rise to L$_{\infty}$ algebras and are defined on the dual space $\frak{g}^*$ of a Lie algebra $\frak{g}$ by means of an embedding tensor map $\vartheta :\frak{g}^*\rightarrow \frak{g}$. We show that for the Lie algebra $\frak{sdiff}_3$ of volume-preserving diffeomorphisms on a 3-manifold there is a natural embedding tensor defining a Leibniz algebra on the space of one-forms. Specifically, we show that the cotangent bundle to any 3-manifold with a volume-form carries the structure of a (generalized) Courant algebroid. The resulting ${\cal N}=8$ superconformal field theories are shown to be equivalent to Bandos-Townsend theories. We show that the theory based on $S^3$ is an infinite-dimensional generalization of the Bagger-Lambert-Gustavsson model that in turn is a consistent truncation of the full theory. We also review a Scherk-Schwarz reduction on $S^2\times S^1$, which gives the super-Yang-Mills theory with gauge algebra $\frak{sdiff}_2$, and we construct massive deformations.

[ { "created": "Mon, 29 Oct 2018 18:00:08 GMT", "version": "v1" }, { "created": "Wed, 3 Apr 2019 12:47:23 GMT", "version": "v2" } ]

2019-05-01

[ [ "Hohm", "Olaf", "" ], [ "Samtleben", "Henning", "" ] ]

We present a Lagrangian formulation for ${\cal N}=8$ superconformal field theories in three spacetime dimensions that is general enough to encompass infinite-dimensional gauge algebras that generally go beyond Lie algebras. To this end we employ Chern-Simons theories based on Leibniz algebras, which give rise to L$_{\infty}$ algebras and are defined on the dual space $\frak{g}^*$ of a Lie algebra $\frak{g}$ by means of an embedding tensor map $\vartheta :\frak{g}^*\rightarrow \frak{g}$. We show that for the Lie algebra $\frak{sdiff}_3$ of volume-preserving diffeomorphisms on a 3-manifold there is a natural embedding tensor defining a Leibniz algebra on the space of one-forms. Specifically, we show that the cotangent bundle to any 3-manifold with a volume-form carries the structure of a (generalized) Courant algebroid. The resulting ${\cal N}=8$ superconformal field theories are shown to be equivalent to Bandos-Townsend theories. We show that the theory based on $S^3$ is an infinite-dimensional generalization of the Bagger-Lambert-Gustavsson model that in turn is a consistent truncation of the full theory. We also review a Scherk-Schwarz reduction on $S^2\times S^1$, which gives the super-Yang-Mills theory with gauge algebra $\frak{sdiff}_2$, and we construct massive deformations.

5.002911

5.218088

5.463717

4.731788

5.177768

4.939169

4.878998

4.895759

4.936041

5.775218

4.773308

4.67516

5.06707

4.801015

4.885673

4.757949

4.80841

4.834495

4.789885

5.043036

4.844959

hep-th/9305080

Stephen Chung

Stephen-wei Chung, Masafumi Fukuma and Alfred Shapere

Structure of Topological Lattice Field Theories in Three Dimensions

63 pages, 46 figures

Int.J.Mod.Phys. A9 (1994) 1305-1360

10.1142/S0217751X94000595

CLNS 93/1200

hep-th math.QA

null

We construct and classify topological lattice field theories in three dimensions. After defining a general class of local lattice field theories, we impose invariance under arbitrary topology-preserving deformations of the underlying lattice, which are generated by two new local lattice moves. Invariant solutions are in one--to--one correspondence with Hopf algebras satisfying a certain constraint. As an example, we study in detail the topological lattice field theory corresponding to the Hopf algebra based on the group ring $\C[G]$, and show that it is equivalent to lattice gauge theory at zero coupling, and to the Ponzano--Regge theory for $G=$SU(2).

[ { "created": "Wed, 19 May 1993 01:20:08 GMT", "version": "v1" }, { "created": "Wed, 19 May 1993 20:38:13 GMT", "version": "v2" } ]

2009-10-22

[ [ "Chung", "Stephen-wei", "" ], [ "Fukuma", "Masafumi", "" ], [ "Shapere", "Alfred", "" ] ]

We construct and classify topological lattice field theories in three dimensions. After defining a general class of local lattice field theories, we impose invariance under arbitrary topology-preserving deformations of the underlying lattice, which are generated by two new local lattice moves. Invariant solutions are in one--to--one correspondence with Hopf algebras satisfying a certain constraint. As an example, we study in detail the topological lattice field theory corresponding to the Hopf algebra based on the group ring $\C[G]$, and show that it is equivalent to lattice gauge theory at zero coupling, and to the Ponzano--Regge theory for $G=$SU(2).

7.095276

7.650701

9.388173

7.577837

7.400262

7.296006

7.184145

7.031866

7.542658

9.046652

7.585121

6.777396

7.516746

6.924931

6.877161

6.880944

6.873027

6.851119

6.846963

7.668959

7.062242

hep-th/0703203

Marco Frasca

Spectrum in the broken phase of a $\lambda\phi^4$ theory

4 pages, 1 figure. Accepted for publication in International Journal of Modern Physics A

Int.J.Mod.Phys.A22:5345-5350,2007

10.1142/S0217751X07037986

null

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

null

We derive the spectrum in the broken phase of a $\lambda\phi^4$ theory, in the limit $\lambda\to\infty$, showing that this goes as even integers of a renormalized mass in agreement with recent lattice computations.

[ { "created": "Thu, 22 Mar 2007 22:42:31 GMT", "version": "v1" }, { "created": "Fri, 13 Apr 2007 05:06:02 GMT", "version": "v2" }, { "created": "Mon, 27 Aug 2007 10:44:28 GMT", "version": "v3" } ]

2008-11-26

[ [ "Frasca", "Marco", "" ] ]

We derive the spectrum in the broken phase of a $\lambda\phi^4$ theory, in the limit $\lambda\to\infty$, showing that this goes as even integers of a renormalized mass in agreement with recent lattice computations.

11.951559

9.622473

9.289665

9.105705

8.788198

9.819787

10.124385

9.929937

9.477445

10.175663

8.754447

9.58048

9.410282

9.599785

9.162822

9.576497

9.540877

9.296146

9.72398

9.177521

9.711538

0710.3429

Navin Sivanandam

Renata Kallosh, Navin Sivanandam, Masoud Soroush

Axion Inflation and Gravity Waves in String Theory

30 + 16 pages, 5 figures. Added references, corrected typos

Phys.Rev.D77:043501,2008

10.1103/PhysRevD.77.043501

SU-ITP-07/16

hep-th astro-ph hep-ph

null

The majority of models of inflation in string theory predict an absence of measurable gravitational waves, r << 10^{-3}. The most promising proposals for making string theoretic models that yield measurable tensor fluctuations involve axion fields with slightly broken shift symmetry. We consider such models in detail, with a particular focus on the N-flation scenario and on axion valley/natural inflation models. We find that in Calabi-Yau threefold compactifications with logarithmic Kahler potentials K it appears to be difficult to meet the conditions required for axion inflation in the supergravity regime. However, in supergravities with an (approximately) quadratic shift-symmetric K, axion inflation may be viable. Such Kahler potentials do arise in some string models, in specific limits of the moduli space. We describe the most promising classes of models; more detailed study will be required before one can conclude that working models exist.

[ { "created": "Thu, 18 Oct 2007 16:58:07 GMT", "version": "v1" }, { "created": "Wed, 31 Oct 2007 18:32:05 GMT", "version": "v2" } ]

2008-11-26

[ [ "Kallosh", "Renata", "" ], [ "Sivanandam", "Navin", "" ], [ "Soroush", "Masoud", "" ] ]

The majority of models of inflation in string theory predict an absence of measurable gravitational waves, r << 10^{-3}. The most promising proposals for making string theoretic models that yield measurable tensor fluctuations involve axion fields with slightly broken shift symmetry. We consider such models in detail, with a particular focus on the N-flation scenario and on axion valley/natural inflation models. We find that in Calabi-Yau threefold compactifications with logarithmic Kahler potentials K it appears to be difficult to meet the conditions required for axion inflation in the supergravity regime. However, in supergravities with an (approximately) quadratic shift-symmetric K, axion inflation may be viable. Such Kahler potentials do arise in some string models, in specific limits of the moduli space. We describe the most promising classes of models; more detailed study will be required before one can conclude that working models exist.

13.307704

13.772614

13.418975

12.053543

13.293403

13.847602

12.958802

13.323832

12.419313

14.22776

13.277958

13.059772

12.704356

12.477916

12.759217

12.522318

12.564323

12.131949

12.348099

12.889483

12.40411

1610.01480

Gustavo Brito

G.P. de Brito, P.I.C. Caneda, Y.M.P. Gomes, J.T. Guaitolini Junior, V. Nikoofard

Effective models of quantum gravity induced by Planck scale modifications in the covariant quantum algebra

Small corrections were made; improved figures; results unchanged; published version

null

10.1155/2017/4768341

null

hep-th

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

In this paper we introduce a modified covariant quantum algebra based in the so-called Quesne-Tkachuk algebra. By means of a deformation procedure we arrive at a class of higher derivative models of gravity. The study of the particle spectra of these models reveals an equivalence with the physical content of the well-known renormalizable and super-renormalizable higher derivative gravities. The particle spectrum exhibits the presence of spurious complex ghosts and, in light of this problem, we suggest an interesting interpretation in the context of minimal length theories. Also, a discussion regarding the non-relativistic potential energy is proposed.

[ { "created": "Wed, 5 Oct 2016 15:24:45 GMT", "version": "v1" }, { "created": "Wed, 15 Feb 2017 22:38:24 GMT", "version": "v2" }, { "created": "Wed, 4 Oct 2017 21:19:47 GMT", "version": "v3" } ]

2017-10-06

[ [ "de Brito", "G. P.", "" ], [ "Caneda", "P. I. C.", "" ], [ "Gomes", "Y. M. P.", "" ], [ "Junior", "J. T. Guaitolini", "" ], [ "Nikoofard", "V.", "" ] ]

In this paper we introduce a modified covariant quantum algebra based in the so-called Quesne-Tkachuk algebra. By means of a deformation procedure we arrive at a class of higher derivative models of gravity. The study of the particle spectra of these models reveals an equivalence with the physical content of the well-known renormalizable and super-renormalizable higher derivative gravities. The particle spectrum exhibits the presence of spurious complex ghosts and, in light of this problem, we suggest an interesting interpretation in the context of minimal length theories. Also, a discussion regarding the non-relativistic potential energy is proposed.

11.366677

10.890798

13.32495

10.911354

11.804449

11.164009

10.84634

11.983986

11.702362

14.983712

10.894179

10.752549

10.967957

10.908383

10.249768

10.803081

10.909403

10.771822

10.857714

11.375203

11.062449

2309.07454

Marco Pasini

Matthew Edmonds, Antonino Flachi, Marco Pasini

Quantum vacuum effects in non-relativistic quantum field theory

10 pages, 3 figures

Phys. Rev. D 108, L121702 (2023)

10.1103/PhysRevD.108.L121702

null

hep-th cond-mat.quant-gas quant-ph

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

Nonlinearities in the dispersion relations associated with different interactions designs, boundary conditions and the existence of a physical cut-off scale can alter the quantum vacuum energy of a nonrelativistic system nontrivially. As a material realization of this, we consider a 1D-periodic rotating, interacting non-relativistic setup. The quantum vacuum energy of such a system is expected to comprise two contributions: a fluctuation-induced quantum contribution and a repulsive centrifugal-like term. We analyze the problem in detail within a complex Schoedinger quantum field theory with a quartic interaction potential and perform the calculations non-perturbatively in the interaction strength by exploiting the nonlinear structure of the associated nonlinear Schroedinger equation. Calculations are done in both zeta-regularization, as well as by introducing a cut-off scale. We find a generic, regularization-independent behavior, where the competition between the interaction and rotation can be balanced at some critical ring-size, where the quantum vacuum energy has a maxima and the force changes sign. The inclusion of a cut-off smoothes out the vacuum energy at small distance but leaves unaltered the long distance behavior. We discuss how this behavior can be tested with ultracold-atoms.

[ { "created": "Thu, 14 Sep 2023 06:27:16 GMT", "version": "v1" } ]

2024-01-08

[ [ "Edmonds", "Matthew", "" ], [ "Flachi", "Antonino", "" ], [ "Pasini", "Marco", "" ] ]

Nonlinearities in the dispersion relations associated with different interactions designs, boundary conditions and the existence of a physical cut-off scale can alter the quantum vacuum energy of a nonrelativistic system nontrivially. As a material realization of this, we consider a 1D-periodic rotating, interacting non-relativistic setup. The quantum vacuum energy of such a system is expected to comprise two contributions: a fluctuation-induced quantum contribution and a repulsive centrifugal-like term. We analyze the problem in detail within a complex Schoedinger quantum field theory with a quartic interaction potential and perform the calculations non-perturbatively in the interaction strength by exploiting the nonlinear structure of the associated nonlinear Schroedinger equation. Calculations are done in both zeta-regularization, as well as by introducing a cut-off scale. We find a generic, regularization-independent behavior, where the competition between the interaction and rotation can be balanced at some critical ring-size, where the quantum vacuum energy has a maxima and the force changes sign. The inclusion of a cut-off smoothes out the vacuum energy at small distance but leaves unaltered the long distance behavior. We discuss how this behavior can be tested with ultracold-atoms.

15.449336

15.308465

16.2323

15.26334

15.646283

15.273401

15.063194

15.074594

14.820333

17.385294

14.409836

14.212904

15.400089

14.550262

14.311343

14.428978

14.701757

14.408101

14.666478

15.421536

14.365038

hep-th/9603172

Sergei Odintsov

B. Geyer and S.D. Odintsov

Gauged NJL model at strong curvature

null

Phys.Lett.B376:260-265,1996

10.1016/0370-2693(96)00322-X

NTZ 05, 1996, Leipzig

hep-th

null

We investigate the gauged NJL--model in curved spacetime using the RG formulation and the equivalency with the gauge Higgs--Yukawa model in a modified 1/N_c -expansion. The strong curvature induced chiral symmetry breaking is found in the non-perturbative RG approach (presumably equivalent to the ladder Schwinger--Dyson equations). Dynamically generated fermion mass is explicitly calculated and inducing of Einstein gravity is briefly discussed. This approach shows the way to the non-perturbative study of the dynamical symmetry breaking at external fields.

[ { "created": "Tue, 26 Mar 1996 12:08:01 GMT", "version": "v1" } ]

2009-09-17

[ [ "Geyer", "B.", "" ], [ "Odintsov", "S. D.", "" ] ]

We investigate the gauged NJL--model in curved spacetime using the RG formulation and the equivalency with the gauge Higgs--Yukawa model in a modified 1/N_c -expansion. The strong curvature induced chiral symmetry breaking is found in the non-perturbative RG approach (presumably equivalent to the ladder Schwinger--Dyson equations). Dynamically generated fermion mass is explicitly calculated and inducing of Einstein gravity is briefly discussed. This approach shows the way to the non-perturbative study of the dynamical symmetry breaking at external fields.

14.4115

12.44591

13.36765

12.502256

12.544168

13.526784

12.68104

11.296653

11.989685

13.152188

11.559399

12.94978

13.090934

13.187048

13.731685

13.22365

13.131543

13.216234

13.001707

13.196335

13.572968

hep-th/9410027

Martin Koehler

New Examples for Wightman Fields on a Manifold

16

Class.Quant.Grav.12:1413-1428,1995; Erratum-ibid.12:2355,1995

10.1088/0264-9381/12/6/008

DESY 94-161

hep-th

null

The product of two free scalar fields on a manifold is shown to be a well defined operator valued distribution on the GNS Hilbert space of a globally Hadamard product state. Viewed as a new field all n-point distributions exist, giving a new example for a Wightman field on a manifold.

[ { "created": "Wed, 5 Oct 1994 12:48:34 GMT", "version": "v1" } ]

2010-04-06

[ [ "Koehler", "Martin", "" ] ]

The product of two free scalar fields on a manifold is shown to be a well defined operator valued distribution on the GNS Hilbert space of a globally Hadamard product state. Viewed as a new field all n-point distributions exist, giving a new example for a Wightman field on a manifold.

18.671995

14.273663

13.487399

14.01916

17.065153

17.290167

16.559151

17.644201

15.533957

17.880766

16.584152

15.783303

14.574555

13.720663

15.235646

14.47044

15.16688

15.564645

14.769387

16.867054

14.755893

0803.1467

Juan Maldacena

Diego M. Hofman and Juan Maldacena

Conformal collider physics: Energy and charge correlations

73 pages, 8 figures; v2: minor changes and added references; v3: more references added

JHEP 0805:012,2008

10.1088/1126-6708/2008/05/012

null

hep-th hep-ph

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

We study observables in a conformal field theory which are very closely related to the ones used to describe hadronic events at colliders. We focus on the correlation functions of the energies deposited on calorimeters placed at a large distance from the collision. We consider initial states produced by an operator insertion and we study some general properties of the energy correlation functions for conformal field theories. We argue that the small angle singularities of energy correlation functions are controlled by the twist of non-local light-ray operators with a definite spin. We relate the charge two point function to a particular moment of the parton distribution functions appearing in deep inelastic scattering. The one point energy correlation functions are characterized by a few numbers. For ${\cal N}=1$ superconformal theories the one point function for states created by the R-current or the stress tensor are determined by the two parameters $a$ and $c$ characterizing the conformal anomaly. Demanding that the measured energies are positive we get bounds on $a/c$. We also give a prescription for computing the energy and charge correlation functions in theories that have a gravity dual. The prescription amounts to probing the falling string state as it crosses the $AdS$ horizon with gravitational shock waves. In the leading, two derivative, gravity approximation the energy is uniformly distributed on the sphere at infinity, with no fluctuations. We compute the stringy corrections and we show that they lead to small, non-gaussian, fluctuations in the energy distribution. Corrections to the one point functions or antenna patterns are related to higher derivative corrections in the bulk.

[ { "created": "Mon, 10 Mar 2008 18:02:11 GMT", "version": "v1" }, { "created": "Wed, 2 Apr 2008 23:42:53 GMT", "version": "v2" }, { "created": "Sun, 4 May 2008 16:45:22 GMT", "version": "v3" } ]

2009-10-16

[ [ "Hofman", "Diego M.", "" ], [ "Maldacena", "Juan", "" ] ]

We study observables in a conformal field theory which are very closely related to the ones used to describe hadronic events at colliders. We focus on the correlation functions of the energies deposited on calorimeters placed at a large distance from the collision. We consider initial states produced by an operator insertion and we study some general properties of the energy correlation functions for conformal field theories. We argue that the small angle singularities of energy correlation functions are controlled by the twist of non-local light-ray operators with a definite spin. We relate the charge two point function to a particular moment of the parton distribution functions appearing in deep inelastic scattering. The one point energy correlation functions are characterized by a few numbers. For ${\cal N}=1$ superconformal theories the one point function for states created by the R-current or the stress tensor are determined by the two parameters $a$ and $c$ characterizing the conformal anomaly. Demanding that the measured energies are positive we get bounds on $a/c$. We also give a prescription for computing the energy and charge correlation functions in theories that have a gravity dual. The prescription amounts to probing the falling string state as it crosses the $AdS$ horizon with gravitational shock waves. In the leading, two derivative, gravity approximation the energy is uniformly distributed on the sphere at infinity, with no fluctuations. We compute the stringy corrections and we show that they lead to small, non-gaussian, fluctuations in the energy distribution. Corrections to the one point functions or antenna patterns are related to higher derivative corrections in the bulk.

9.685315

10.744308

10.960952

9.60878

10.687475

10.525873

10.261948

10.410862

9.949991

11.209361

9.739697

9.992214

10.244943

9.861897

9.623322

10.154428

9.991916

9.745068

9.765216

9.865875

9.79987

1603.06310

Evgeniy Kurianovych

Vladimir Bychkov, Michael Kreshchuk and Evgeniy Kurianovych

Strings and skyrmions on domain walls

22 pages, 7 figures; stylistic editing, name changed, references and clarifications added

International Journal of Modern Physics A Vol. 33, No. 18 & 19 (2018) 1850111

10.1142/S0217751X18501117

null

hep-th cond-mat.other cond-mat.str-el nlin.PS

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

We address a simple model allowing the existence of domain walls with orientational moduli localized on them. Within this model, we discuss an analytic solution and explore it in the context of previously known results. We discuss the existence of one-dimensional domain walls localized on two-dimensional ones, and construct the corresponding effective action. In the low-energy limit, which is the $\mathbb{O}(3)$ sigma-model, we discuss the existence of skyrmions localized on domain walls, and provide a solution for a skyrmion configuration, based on an analogy with instantons. We perform symmetry analysis of the initial model and of the low-energy theory on the domain wall world volume.

[ { "created": "Mon, 21 Mar 2016 02:16:49 GMT", "version": "v1" }, { "created": "Sun, 19 Jun 2016 21:28:45 GMT", "version": "v2" }, { "created": "Wed, 24 Jan 2018 19:28:54 GMT", "version": "v3" }, { "created": "Thu, 12 Jul 2018 17:33:05 GMT", "version": "v4" } ]

2018-07-13

[ [ "Bychkov", "Vladimir", "" ], [ "Kreshchuk", "Michael", "" ], [ "Kurianovych", "Evgeniy", "" ] ]

We address a simple model allowing the existence of domain walls with orientational moduli localized on them. Within this model, we discuss an analytic solution and explore it in the context of previously known results. We discuss the existence of one-dimensional domain walls localized on two-dimensional ones, and construct the corresponding effective action. In the low-energy limit, which is the $\mathbb{O}(3)$ sigma-model, we discuss the existence of skyrmions localized on domain walls, and provide a solution for a skyrmion configuration, based on an analogy with instantons. We perform symmetry analysis of the initial model and of the low-energy theory on the domain wall world volume.

11.711082

10.544399

11.96903

11.145018

10.955089

10.802656

11.619576

10.730928

10.987389

12.103974

10.831142

11.082237

12.149818

11.189911

10.905941

11.24664

11.245255

11.500639

11.387677

11.485552

11.406852

hep-th/0507113

Yassen Stanev

G.C. Rossi, E. Sokatchev and Ya.S. Stanev

New results in the deformed N=4 SYM theory

LaTeX, 16 pages, 1 figure; references added; typos corrected; final version to appear in Nucl. Phys. B

Nucl.Phys. B729 (2005) 581-593

10.1016/j.nuclphysb.2005.09.017

DESY 05-120, LAPTH-1107/05, ROM2F/2005/12

hep-th

null

We investigate various perturbative properties of the deformed N=4 SYM theory. We carry out a three-loops calculation of the chiral matter superfield propagator and derive the condition on the couplings for maintaining finiteness at this order. We compute the 2-, 3- and 4-point functions of composite operators of dimension 2 at two loops. We identify all the scalar operators (chiral and non-chiral) of bare dimension 4 with vanishing one-loop anomalous dimension. We compute some 2- and 3-point functions of these operators at two loops and argue that the observed finite corrections cannot be absorbed by a finite renormalization of the operators.

[ { "created": "Tue, 12 Jul 2005 15:31:09 GMT", "version": "v1" }, { "created": "Thu, 4 Aug 2005 15:33:13 GMT", "version": "v2" }, { "created": "Thu, 13 Oct 2005 17:43:25 GMT", "version": "v3" } ]

2009-11-11

[ [ "Rossi", "G. C.", "" ], [ "Sokatchev", "E.", "" ], [ "Stanev", "Ya. S.", "" ] ]

We investigate various perturbative properties of the deformed N=4 SYM theory. We carry out a three-loops calculation of the chiral matter superfield propagator and derive the condition on the couplings for maintaining finiteness at this order. We compute the 2-, 3- and 4-point functions of composite operators of dimension 2 at two loops. We identify all the scalar operators (chiral and non-chiral) of bare dimension 4 with vanishing one-loop anomalous dimension. We compute some 2- and 3-point functions of these operators at two loops and argue that the observed finite corrections cannot be absorbed by a finite renormalization of the operators.

6.926148

6.496583

7.641446

6.413854

6.633034

6.430172

6.196909

6.075405

6.501611

8.438143

6.191081

6.562882

7.100298

6.576747

6.621856

6.659366

6.593415

6.61895

6.562619

7.176252

6.564509

2101.03602

Roldao da Rocha

Deploying heavier $\eta$ meson states: configurational entropy hybridizing AdS/QCD

7 pages, 3 figs, additional results; published version

Phys. Lett. B 814 (2021) 136112

10.1016/j.physletb.2021.136112

null

hep-th hep-ph

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

The meson family of $\eta$ pseudoscalars is studied in the context of the AdS/QCD correspondence and the differential configurational entropy (DCE). For it, two forms of configurational-entropic Regge-like trajectories are engendered, relating the $\eta$ mesonic states excitation number to both their experimental mass spectrum in the Particle Data Group (PDG) and the DCE as well. Hence, the mass spectrum of $\eta$ pseudoscalar mesonic states, beyond the already detected states $\eta(550)$, $\eta'(958)$, $\eta(1295)$, $\eta(1405)$, $\eta(1475)$, $\eta(1760)$, $\eta(2225)$, and $\eta(2320)$, is derived for any excitation number. The three first ulterior members of this family are then analyzed and also compared to existing candidates in PDG.

[ { "created": "Sun, 10 Jan 2021 18:57:27 GMT", "version": "v1" }, { "created": "Wed, 3 Feb 2021 17:49:48 GMT", "version": "v2" } ]

2021-02-04

[ [ "da Rocha", "Roldao", "" ] ]

The meson family of $\eta$ pseudoscalars is studied in the context of the AdS/QCD correspondence and the differential configurational entropy (DCE). For it, two forms of configurational-entropic Regge-like trajectories are engendered, relating the $\eta$ mesonic states excitation number to both their experimental mass spectrum in the Particle Data Group (PDG) and the DCE as well. Hence, the mass spectrum of $\eta$ pseudoscalar mesonic states, beyond the already detected states $\eta(550)$, $\eta'(958)$, $\eta(1295)$, $\eta(1405)$, $\eta(1475)$, $\eta(1760)$, $\eta(2225)$, and $\eta(2320)$, is derived for any excitation number. The three first ulterior members of this family are then analyzed and also compared to existing candidates in PDG.

8.272468

9.255616

8.054443

7.527925

8.858418

9.058369

8.060646

8.259477

7.664655

8.914525

8.185088

7.884731

8.095338

7.966805

8.142963

8.241354

7.8012

8.059629

7.923075

8.167808

8.202238

hep-th/0612266

Makoto Kobayashi

Electric Dipole Moment of Magnetic Monopole

10 pages, PTPTeX.cls, typos corrected, some phrases improved

null

10.1143/PTP.117.479

KEK-TH-1130

hep-th

null

The electric dipole moment of magnetic monopoles with spin is studied in the N=2 supersymmetric gauge theory. The dipole moments of the electric charge distributions, as well as the dipole moments due to the magnetic currents, are calculated. The contribution of charge distribution of the fermion to the gyroelectric ratio is expressed by using zeta(3).

[ { "created": "Tue, 26 Dec 2006 05:22:14 GMT", "version": "v1" }, { "created": "Wed, 7 Mar 2007 07:27:52 GMT", "version": "v2" } ]

2015-06-26

[ [ "Kobayashi", "Makoto", "" ] ]

The electric dipole moment of magnetic monopoles with spin is studied in the N=2 supersymmetric gauge theory. The dipole moments of the electric charge distributions, as well as the dipole moments due to the magnetic currents, are calculated. The contribution of charge distribution of the fermion to the gyroelectric ratio is expressed by using zeta(3).

12.934768

10.46117

11.111851

10.152896

9.861708

10.675406

10.075642

10.453015

9.91963

10.471401

10.49701

11.580697

11.563509

11.304527

12.009259

11.670226

10.565516

10.853748

10.958255

11.398298

10.827564

1207.4513

Rouven Frassek

Rouven Frassek and Carlo Meneghelli

From Baxter Q-Operators to Local Charges

24 pages, several figures; v2: references added and typos fixed; v3: accepted in J. Stat. Mech

J. Stat. Mech. (2013) P02019

10.1088/1742-5468/2013/02/P02019

null

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

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

We discuss how the shift operator and the Hamiltonian enter the hierarchy of Baxter Q-operators in the example of gl(n) homogeneous spin-chains. Building on the construction that was recently carried out by the authors and their collaborators, we find that a reduced set of Q-operators can be used to obtain local charges. The mechanism relies on projection properties of the corresponding R-operators on a highest/lowest weight state of the quantum space. It is intimately related to the ordering of the oscillators in the auxiliary space. Furthermore, we introduce a diagrammatic language that makes these properties manifest and the results transparent. Our approach circumvents the paradigm of constructing the transfer matrix with equal representations in quantum and auxiliary space and underlines the strength of the Q-operator construction.

[ { "created": "Wed, 18 Jul 2012 22:22:59 GMT", "version": "v1" }, { "created": "Fri, 14 Sep 2012 16:13:02 GMT", "version": "v2" }, { "created": "Fri, 22 Feb 2013 09:29:02 GMT", "version": "v3" } ]

2013-02-25

[ [ "Frassek", "Rouven", "" ], [ "Meneghelli", "Carlo", "" ] ]

We discuss how the shift operator and the Hamiltonian enter the hierarchy of Baxter Q-operators in the example of gl(n) homogeneous spin-chains. Building on the construction that was recently carried out by the authors and their collaborators, we find that a reduced set of Q-operators can be used to obtain local charges. The mechanism relies on projection properties of the corresponding R-operators on a highest/lowest weight state of the quantum space. It is intimately related to the ordering of the oscillators in the auxiliary space. Furthermore, we introduce a diagrammatic language that makes these properties manifest and the results transparent. Our approach circumvents the paradigm of constructing the transfer matrix with equal representations in quantum and auxiliary space and underlines the strength of the Q-operator construction.

16.227129

16.834873

18.857471

15.431629

17.484858

17.763863

18.109936

15.517559

15.861383

20.129984

15.850904

15.599638

16.877131

15.779348

16.218967

16.117599

15.634042

15.309137

15.513261

16.886868

15.955628

1002.2884

Christoph Uhlemann

Thorsten Ohl, Alexander Schenkel, Christoph F. Uhlemann (W\"urzburg University)

Spacetime Noncommutativity in Models with Warped Extradimensions

15 pages, LaTeX, pdf figures included, to appear in JHEP

JHEP 1007:029,2010

10.1007/JHEP07(2010)029

null

hep-th hep-ph

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

We construct consistent noncommutative (NC) deformations of the Randall-Sundrum spacetime that solve the NC Einstein equations with a non-trivial Poisson tensor depending on the fifth coordinate. In a class of these deformations where the Poisson tensor is exponentially localized on one of the branes (the NC-brane), we study the effects on bulk particles in terms of Lorentz-violating operators induced by NC-brane interactions. We sketch two models in which massive bulk particles mediate NC effects to an almost-commutative SM-brane, such that observables at high energy colliders are enhanced with respect to low energy and astrophysical observables.

[ { "created": "Mon, 15 Feb 2010 20:33:33 GMT", "version": "v1" }, { "created": "Wed, 14 Jul 2010 22:02:26 GMT", "version": "v2" } ]

2014-11-20

[ [ "Ohl", "Thorsten", "", "Würzburg\n University" ], [ "Schenkel", "Alexander", "", "Würzburg\n University" ], [ "Uhlemann", "Christoph F.", "", "Würzburg\n University" ] ]

We construct consistent noncommutative (NC) deformations of the Randall-Sundrum spacetime that solve the NC Einstein equations with a non-trivial Poisson tensor depending on the fifth coordinate. In a class of these deformations where the Poisson tensor is exponentially localized on one of the branes (the NC-brane), we study the effects on bulk particles in terms of Lorentz-violating operators induced by NC-brane interactions. We sketch two models in which massive bulk particles mediate NC effects to an almost-commutative SM-brane, such that observables at high energy colliders are enhanced with respect to low energy and astrophysical observables.

10.416752

10.459614

9.741804

10.132069

10.975271

11.033496

11.018713

9.978435

9.944142

12.21734

10.373128

10.156029

10.100123

10.184421

10.145241

10.533297

10.455174

10.089808

10.098609

10.239956

9.941934

1002.1001

Liu Zhao

Huan-Xiong Yang, Liu Zhao

Warped embeddings between Einstein manifolds

12 pages, to appear in Mod. Phys. Lett. A

Mod.Phys.Lett.A25:1521-1530,2010

10.1142/S0217732310032780

null

hep-th

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

Warped embeddings from a lower dimensional Einstein manifold into a higher dimensional one are analyzed. Explicit solutions for the embedding metrics are obtained for all cases of codimension 1 embeddings and some of the codimension n>1 cases. Some of the interesting features of the embedding metrics are pointed out and potential applications of the embeddings are discussed.

[ { "created": "Thu, 4 Feb 2010 15:11:42 GMT", "version": "v1" } ]

2014-11-20

[ [ "Yang", "Huan-Xiong", "" ], [ "Zhao", "Liu", "" ] ]

Warped embeddings from a lower dimensional Einstein manifold into a higher dimensional one are analyzed. Explicit solutions for the embedding metrics are obtained for all cases of codimension 1 embeddings and some of the codimension n>1 cases. Some of the interesting features of the embedding metrics are pointed out and potential applications of the embeddings are discussed.

10.226115

9.463181

8.965651

8.71287

9.479379

9.471506

9.725754

8.974632

8.546375

8.651523

8.774357

8.937014

8.608036

8.557197

8.502832

8.567849

8.713956

8.345186

8.44259

8.665718

8.929303

hep-th/0502218

Dorje C. Brody

Dorje C. Brody (Imperial), Lane. P. Hughston (King's)

Twistor cosmology and quantum space-time

40 pages, 12 figures, to appear in the Proceedings of the XIX-th Max Born Symposium

null

10.1063/1.1923330

null

hep-th quant-ph

null

The purpose of this paper is to present a model of a quantum space-time in which the global symmetries of space-time are unified in a coherent manner with the internal symmetries associated with the state space of quantum-mechanics. If we take into account the fact that these distinct families of symmetries should in some sense merge and become essentially indistinguishable in the unified regime, our framework may provide an approximate description of or elementary model for the structure of the universe at early times.

[ { "created": "Thu, 24 Feb 2005 15:49:13 GMT", "version": "v1" } ]

2007-05-23

[ [ "Brody", "Dorje C.", "", "Imperial" ], [ "Hughston", "Lane. P.", "", "King's" ] ]

The purpose of this paper is to present a model of a quantum space-time in which the global symmetries of space-time are unified in a coherent manner with the internal symmetries associated with the state space of quantum-mechanics. If we take into account the fact that these distinct families of symmetries should in some sense merge and become essentially indistinguishable in the unified regime, our framework may provide an approximate description of or elementary model for the structure of the universe at early times.

11.025064

10.877159

9.977134

10.682642

10.718065

10.521043

10.954266

11.614926

10.445852

10.620112

11.177118

10.773568

10.098287

10.389972

10.287293

10.60906

10.594684

10.723988

10.557317

10.576878

10.710697

2408.04855

Gordon Semenoff

Gordon W. Semenoff and Riley A. Stewart

Parity Violating Marginal Deformation of the 3D Gross-Neveu-Thirring Model

null

hep-th

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

A hybrid of the critical three dimensional Gross-Neveu and Thirring models deformed by explicit parity breaking operators is studied in the large N expansion and using the renormalization group. Two stable solutions are found. One solution is a stable charge-gapped phase with a massless photon-like vector field, massive fermions and a parametrically light scalar field which acts as a dilaton for a spontaneously broken approximate scale invariance. A second solution is a conformal window where the fermion spectrum is not gapped and the theory flows between infrared and ultraviolet fixed points, becoming a conformal field theory at the infrared fixed point. The latter is an analog of the Wilson-Fisher fixed point and it supports a novel parity and time reversal violating three dimensional conformal field theory with scalar, spinor and vector fields.

[ { "created": "Fri, 9 Aug 2024 04:18:50 GMT", "version": "v1" } ]

2024-08-12

[ [ "Semenoff", "Gordon W.", "" ], [ "Stewart", "Riley A.", "" ] ]

A hybrid of the critical three dimensional Gross-Neveu and Thirring models deformed by explicit parity breaking operators is studied in the large N expansion and using the renormalization group. Two stable solutions are found. One solution is a stable charge-gapped phase with a massless photon-like vector field, massive fermions and a parametrically light scalar field which acts as a dilaton for a spontaneously broken approximate scale invariance. A second solution is a conformal window where the fermion spectrum is not gapped and the theory flows between infrared and ultraviolet fixed points, becoming a conformal field theory at the infrared fixed point. The latter is an analog of the Wilson-Fisher fixed point and it supports a novel parity and time reversal violating three dimensional conformal field theory with scalar, spinor and vector fields.

9.135942

9.096665

9.373899

8.456494

9.725487

9.005366

9.47895

9.382767

8.456599

10.768781

9.126429

8.810957

8.710038

8.677917

8.63288

8.745195

8.687451

8.643466

8.773188

9.120332

8.943701

0904.2915

Yu-Xiao Liu

Shao-Wen Wei, Ran Li, Yu-Xiao Liu, Ji-Rong Ren

Anomaly analysis of Hawking radiation from 2+1 dimensional spinning black hole

v2: 5 pages, typos corrected, references added

null

hep-th

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

Considering gravitational and gauge anomalies at the horizon, a new successful method that to derive Hawking radiations from black holes has been developed recently by Wilczek et al.. By using the dimensional reduction technique, we apply this method to a non-vacuum solution, the 2+1 dimensional spinning black hole. The Hawking temperature and angular velocity on the horizon are obtained. The results may partially imply that this method is independent of the gravity theory, the dimension of spacetime and the topological structure of the event horizon.

[ { "created": "Sun, 19 Apr 2009 13:45:56 GMT", "version": "v1" }, { "created": "Fri, 1 May 2009 02:31:34 GMT", "version": "v2" } ]

2009-05-01

[ [ "Wei", "Shao-Wen", "" ], [ "Li", "Ran", "" ], [ "Liu", "Yu-Xiao", "" ], [ "Ren", "Ji-Rong", "" ] ]

Considering gravitational and gauge anomalies at the horizon, a new successful method that to derive Hawking radiations from black holes has been developed recently by Wilczek et al.. By using the dimensional reduction technique, we apply this method to a non-vacuum solution, the 2+1 dimensional spinning black hole. The Hawking temperature and angular velocity on the horizon are obtained. The results may partially imply that this method is independent of the gravity theory, the dimension of spacetime and the topological structure of the event horizon.

12.051546

9.793949

10.009441

10.213449

10.350948

11.415792

10.742085

10.229937

9.723222

11.362973

10.12279

10.741577

10.544456

10.436184

10.617867

10.90061

10.641086

10.515015

10.691639

10.758919

10.60839

hep-th/0407161

Jose M. Isidro

J.M. Isidro

A Quantum is a Complex Structure on Classical Phase Space

null

Int.J.Geom.Meth.Mod.Phys. 2 (2005) 633-655

10.1142/S0219887805000673

null

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

null

Duality transformations within the quantum mechanics of a finite number of degrees of freedom can be regarded as the dependence of the notion of a quantum, i.e., an elementary excitation of the vacuum, on the observer on classical phase space. Under an observer we understand, as in general relativity, a local coordinate chart. While classical mechanics can be formulated using a symplectic structure on classical phase space, quantum mechanics requires a complex-differentiable structure on that same space. Complex-differentiable structures on a given real manifold are often not unique. This article is devoted to analysing the dependence of the notion of a quantum on the complex-differentiable structure chosen on classical phase space.

[ { "created": "Mon, 19 Jul 2004 08:38:39 GMT", "version": "v1" } ]

2015-06-26

[ [ "Isidro", "J. M.", "" ] ]

Duality transformations within the quantum mechanics of a finite number of degrees of freedom can be regarded as the dependence of the notion of a quantum, i.e., an elementary excitation of the vacuum, on the observer on classical phase space. Under an observer we understand, as in general relativity, a local coordinate chart. While classical mechanics can be formulated using a symplectic structure on classical phase space, quantum mechanics requires a complex-differentiable structure on that same space. Complex-differentiable structures on a given real manifold are often not unique. This article is devoted to analysing the dependence of the notion of a quantum on the complex-differentiable structure chosen on classical phase space.

8.342946

8.14511

8.606677

8.361623

8.002496

8.51662

8.687466

8.451552

8.136603

8.817548

7.680299

7.740952

7.959033

7.83796

7.661181

7.881553

7.955617

7.982441

7.788088

7.948548

7.845657

1004.3466

P. S. Howe

P.S. Howe, U. Lindstrom and L. Wulff

D=10 supersymmetric Yang-Mills theory at alpha'^4

27 pages. Minor changes to text; references added.

JHEP 1007:028,2010

10.1007/JHEP07(2010)028

KCL-TH-10-05, UUITP-13/10

hep-th

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

The $\alpha'^2$ deformation of D=10 SYM is the natural generalisation of the $F^4$ term in the abelian Born-Infeld theory. It is shown that this deformation can be extended to $\alpha'^4$ in a way which is consistent with supersymmetry. The latter requires the presence of higher-derivative and commutator terms as well as the symmetrised trace of the Born-Infeld $\alpha'^4$ term.

[ { "created": "Tue, 20 Apr 2010 14:38:43 GMT", "version": "v1" }, { "created": "Tue, 4 May 2010 16:18:59 GMT", "version": "v2" } ]

2014-11-20

[ [ "Howe", "P. S.", "" ], [ "Lindstrom", "U.", "" ], [ "Wulff", "L.", "" ] ]

The $\alpha'^2$ deformation of D=10 SYM is the natural generalisation of the $F^4$ term in the abelian Born-Infeld theory. It is shown that this deformation can be extended to $\alpha'^4$ in a way which is consistent with supersymmetry. The latter requires the presence of higher-derivative and commutator terms as well as the symmetrised trace of the Born-Infeld $\alpha'^4$ term.

6.791288

6.384596

7.096231

5.99188

6.219633

5.71499

6.03443

5.97769

6.032243

7.831433

5.707006

6.418954

6.480626

6.275981

6.299603

6.286339

6.068438

6.36504

6.076418

6.39615

6.100471

1909.11118

Akikazu Hashimoto

Akikazu Hashimoto and David Kutasov

Strings, Symmetric Products, $T \bar{T}$ deformations and Hecke Operators

10 pages. v2: reference added

null

10.1016/j.physletb.2020.135479

null

hep-th

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

We derive a formula for the torus partition sum of the symmetric product of $T\bar T$ deformed CFT's, using previous work on long strings in (deformed) $AdS_3$, and universality. The result is given by an integral transform of the partition function for the block of the symmetric product, summed over its Hecke transforms, and is manifestly modular invariant. The spectrum is interpretable as a gas of multiply wound long strings with a particular orientation.

[ { "created": "Tue, 24 Sep 2019 18:46:39 GMT", "version": "v1" }, { "created": "Tue, 10 Dec 2019 17:40:20 GMT", "version": "v2" } ]

2020-05-20

[ [ "Hashimoto", "Akikazu", "" ], [ "Kutasov", "David", "" ] ]

We derive a formula for the torus partition sum of the symmetric product of $T\bar T$ deformed CFT's, using previous work on long strings in (deformed) $AdS_3$, and universality. The result is given by an integral transform of the partition function for the block of the symmetric product, summed over its Hecke transforms, and is manifestly modular invariant. The spectrum is interpretable as a gas of multiply wound long strings with a particular orientation.

15.301157

11.996353

16.49831

11.122343

12.616595

13.73289

11.376327

11.848103

11.720727

16.189024

11.385864

12.044059

14.175995

12.424937

12.40266

11.91117

12.112519

11.833626

12.083961

13.866871

12.059169

hep-th/0303125

null

V.A. Rubakov (INR, Moscow)

Strong coupling in brane-induced gravity in five dimensions

null

INR-TH/03-24

hep-th

null

Brane-induced gravity in five dimensions (Dvali--Gabadadze--Porrati model) exhibits modification of gravity at ultra-large distances, $r\gg r_c = M_{Pl}^2/M^3$ where $M$ is the five-dimensional gravity scale. This makes the model potentially interesting for explaining the observed acceleration of the Universe. We argue, however, that it has an intrinsic intermediate energy scale $(M^9/M_{Pl}^4)^{1/5}$. At higher energies, the model is strongly coupled. For $r_c$ of order of the present Hubble size, the strong coupling regime occurs at distanced below tens of metres.

[ { "created": "Thu, 13 Mar 2003 22:41:48 GMT", "version": "v1" } ]

2007-05-23

[ [ "Rubakov", "V. A.", "", "INR, Moscow" ] ]

Brane-induced gravity in five dimensions (Dvali--Gabadadze--Porrati model) exhibits modification of gravity at ultra-large distances, $r\gg r_c = M_{Pl}^2/M^3$ where $M$ is the five-dimensional gravity scale. This makes the model potentially interesting for explaining the observed acceleration of the Universe. We argue, however, that it has an intrinsic intermediate energy scale $(M^9/M_{Pl}^4)^{1/5}$. At higher energies, the model is strongly coupled. For $r_c$ of order of the present Hubble size, the strong coupling regime occurs at distanced below tens of metres.

7.631252

7.013581

7.262393

6.995161

7.278802

7.168724

7.190034

6.705462

6.802102

7.591225

7.335251

6.644865

7.41627

7.024004

6.808644

6.691675

6.769731

6.773544

6.536875

7.219645

6.903249

1706.03667

Andrei Mironov

A. Mironov, A. Morozov

Correlators in tensor models from character calculus

9 pages

Phys.Lett. B774 (2017) 210-216

10.1016/j.physletb.2017.09.063

FIAN/TD-14/17; IITP/TH-09/17; ITEP/TH-15/17

hep-th

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

We explain how the calculations of arXiv:1704.08648, which provided the first evidence for non-trivial structures of Gaussian correlators in tensor models, are efficiently performed with the help of the (Hurwitz) character calculus. This emphasizes a close similarity between technical methods in matrix and tensor models and supports a hope to understand the emerging structures in very similar terms. We claim that the $2m$-fold Gaussian correlators of rank $r$ tensors are given by $r$-linear combinations of dimensions with the Young diagrams of size $m$. The coefficients are made from the characters of the symmetric group $S_m$ and their exact form depends on the symmetries of the model. As the simplest application of this new knowledge, we provide simple expressions for correlators in the Aristotelian tensor model as tri-linear combinations of dimensions.

[ { "created": "Mon, 12 Jun 2017 14:47:42 GMT", "version": "v1" }, { "created": "Sat, 15 Jul 2017 07:07:12 GMT", "version": "v2" } ]

2017-11-15

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

We explain how the calculations of arXiv:1704.08648, which provided the first evidence for non-trivial structures of Gaussian correlators in tensor models, are efficiently performed with the help of the (Hurwitz) character calculus. This emphasizes a close similarity between technical methods in matrix and tensor models and supports a hope to understand the emerging structures in very similar terms. We claim that the $2m$-fold Gaussian correlators of rank $r$ tensors are given by $r$-linear combinations of dimensions with the Young diagrams of size $m$. The coefficients are made from the characters of the symmetric group $S_m$ and their exact form depends on the symmetries of the model. As the simplest application of this new knowledge, we provide simple expressions for correlators in the Aristotelian tensor model as tri-linear combinations of dimensions.

12.843023

12.903065

13.948743

11.402612

11.661654

11.733286

11.422344

12.564834

11.558406

15.718817

11.084983

11.55354

12.703921

11.999554

11.504292

11.760299

11.842912

11.534351

11.685971

12.484239

11.391327

1412.6002

Emilia da Silva

Emilia da Silva, Esperanza Lopez, Javier Mas and Alexandre Serantes

Collapse and Revival in Holographic Quenches

null

10.1007/JHEP04(2015)038

null

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

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

We study holographic models related to global quantum quenches in finite size systems. The holographic set up describes naturally a CFT, which we consider on a circle and a sphere. The enhanced symmetry of the conformal group on the circle motivates us to compare the evolution in both cases. Depending on the initial conditions, the dual geometry exhibits oscillations that we holographically interpret as revivals of the initial field theory state. On the sphere, this only happens when the energy density created by the quench is small compared to the system size. However on the circle considerably larger energy densities are compatible with revivals. Two different timescales emerge in this latter case. A collapse time, when the system appears to have dephased, and the revival time, when after rephasing the initial state is partially recovered. The ratio of these two times depends upon the initial conditions in a similar way to what is observed in some experimental setups exhibiting collapse and revivals.

[ { "created": "Thu, 18 Dec 2014 19:00:18 GMT", "version": "v1" } ]

2015-06-23

[ [ "da Silva", "Emilia", "" ], [ "Lopez", "Esperanza", "" ], [ "Mas", "Javier", "" ], [ "Serantes", "Alexandre", "" ] ]

We study holographic models related to global quantum quenches in finite size systems. The holographic set up describes naturally a CFT, which we consider on a circle and a sphere. The enhanced symmetry of the conformal group on the circle motivates us to compare the evolution in both cases. Depending on the initial conditions, the dual geometry exhibits oscillations that we holographically interpret as revivals of the initial field theory state. On the sphere, this only happens when the energy density created by the quench is small compared to the system size. However on the circle considerably larger energy densities are compatible with revivals. Two different timescales emerge in this latter case. A collapse time, when the system appears to have dephased, and the revival time, when after rephasing the initial state is partially recovered. The ratio of these two times depends upon the initial conditions in a similar way to what is observed in some experimental setups exhibiting collapse and revivals.

10.316386

11.15608

10.720723

10.069835

10.503214

10.291245

10.967707

9.849035

9.719513

12.422716

9.943161

9.486705

10.399605

9.933482

9.841137

9.903252

9.657534

10.106736

9.708877

10.884948

9.788911

hep-th/9510157

V. P. Nair

Dimitra Karabali and V.P.Nair

A gauge-invariant Hamiltonian analysis for non-Abelian gauge theories in (2+1) dimensions

22 pages, Plain TeX, modifications in sections 3 and 4 to include change of regularization. (This version will be published in Nucl.Phys.B)

Nucl.Phys. B464 (1996) 135-152

10.1016/0550-3213(96)00034-X

CCNY-HEP 95/6, IASSNS-HEP 95/82, RU-95-7-B

hep-th hep-ph

null

The Hamiltonian formulation for a non-Abelian gauge theory in two spatial dimensions is carried out in terms of a gauge-invariant matrix parametrization of the fields. The Jacobian for the relevant transformation of variables is given in terms of the WZW-action for a hermitian matrix field. Some gauge-invariant eigenstates of the kinetic term of the Hamiltonian are given; these have zero charge and exhibit a mass gap.

[ { "created": "Sun, 22 Oct 1995 01:45:08 GMT", "version": "v1" }, { "created": "Thu, 26 Oct 1995 03:41:23 GMT", "version": "v2" }, { "created": "Tue, 27 Feb 1996 16:50:55 GMT", "version": "v3" } ]

2009-10-28

[ [ "Karabali", "Dimitra", "" ], [ "Nair", "V. P.", "" ] ]

The Hamiltonian formulation for a non-Abelian gauge theory in two spatial dimensions is carried out in terms of a gauge-invariant matrix parametrization of the fields. The Jacobian for the relevant transformation of variables is given in terms of the WZW-action for a hermitian matrix field. Some gauge-invariant eigenstates of the kinetic term of the Hamiltonian are given; these have zero charge and exhibit a mass gap.

10.480038

9.430922

10.142878

10.028821

8.62471

9.053941

8.646825

8.753486

8.883525

11.24635

9.253634

9.493775

9.559222

9.201609

9.175994

9.371025

9.362578

9.667096

9.401236

9.990742

9.639246

hep-th/9704167

Laurent Baulieu

L. Baulieu, H. Kanno and I. M. Singer

Special Quantum Field Theories In Eight And Other Dimensions

36 pages, latex. References have been added together with a note

Commun.Math.Phys. 194 (1998) 149-175

10.1007/s002200050353

PAR--LPTHE 97/07

hep-th

null

We build nearly topological quantum field theories in various dimensions. We give special attention to the case of 8 dimensions for which we first consider theories depending only on Yang-Mills fields. Two classes of gauge functions exist which correspond to the choices of two different holonomy groups in SO(8), namely SU(4) and Spin(7). The choice of SU(4) gives a quantum field theory for a Calabi-Yau fourfold. The expectation values for the observables are formally holomorphic Donaldson invariants. The choice of Spin(7) defines another eight dimensional theory for a Joyce manifold which could be of relevance in M- and F-theories. Relations to the eight dimensional supersymmetric Yang-Mills theory are presented. Then, by dimensional reduction, we obtain other theories, in particular a four dimensional one whose gauge conditions are identical to the non-abelian Seiberg-Witten equations. The latter are thus related to pure Yang-Mills self-duality equations in 8 dimensions as well as to the N=1, D=10 super Yang-Mills theory. We also exhibit a theory that couples 3-form gauge fields to the second Chern class in eight dimensions, and interesting theories in other dimensions.

[ { "created": "Thu, 24 Apr 1997 14:12:50 GMT", "version": "v1" }, { "created": "Wed, 30 Jul 1997 14:14:29 GMT", "version": "v2" } ]

2009-10-30

[ [ "Baulieu", "L.", "" ], [ "Kanno", "H.", "" ], [ "Singer", "I. M.", "" ] ]

We build nearly topological quantum field theories in various dimensions. We give special attention to the case of 8 dimensions for which we first consider theories depending only on Yang-Mills fields. Two classes of gauge functions exist which correspond to the choices of two different holonomy groups in SO(8), namely SU(4) and Spin(7). The choice of SU(4) gives a quantum field theory for a Calabi-Yau fourfold. The expectation values for the observables are formally holomorphic Donaldson invariants. The choice of Spin(7) defines another eight dimensional theory for a Joyce manifold which could be of relevance in M- and F-theories. Relations to the eight dimensional supersymmetric Yang-Mills theory are presented. Then, by dimensional reduction, we obtain other theories, in particular a four dimensional one whose gauge conditions are identical to the non-abelian Seiberg-Witten equations. The latter are thus related to pure Yang-Mills self-duality equations in 8 dimensions as well as to the N=1, D=10 super Yang-Mills theory. We also exhibit a theory that couples 3-form gauge fields to the second Chern class in eight dimensions, and interesting theories in other dimensions.

9.410726

8.603642

10.087749

8.720849

9.696303

9.344336

9.428189

9.212456

8.879054

10.048071

8.848351

8.744174

9.515314

9.100665

9.148155

9.136381

8.943568

8.977453

8.964449

9.664843

8.932355

hep-th/0211062

Alan Coley

A. A. Coley

A Class of Exact Classical Solutions to String Theory

To appear in Phys. Rev. Letters

Phys.Rev.Lett. 89 (2002) 281601

10.1103/PhysRevLett.89.281601

null

hep-th gr-qc

null

We show that the recently obtained class of spacetimes for which all of the scalar curvature invariants vanish (which can be regarded as generalizations of pp-wave spacetimes) are exact solutions in string theory to all perturbative orders in the string tension scale. As a result the spectrum of the theory can be explicitly obtained, and these spacetimes are expected to provide some hints for the study of superstrings on more general backgrounds. Since these Lorentzian spacetimes suffer no quantum corrections to all loop orders they may also offer insights into quantum gravity.

[ { "created": "Thu, 7 Nov 2002 19:23:10 GMT", "version": "v1" } ]

2009-11-07

[ [ "Coley", "A. A.", "" ] ]

We show that the recently obtained class of spacetimes for which all of the scalar curvature invariants vanish (which can be regarded as generalizations of pp-wave spacetimes) are exact solutions in string theory to all perturbative orders in the string tension scale. As a result the spectrum of the theory can be explicitly obtained, and these spacetimes are expected to provide some hints for the study of superstrings on more general backgrounds. Since these Lorentzian spacetimes suffer no quantum corrections to all loop orders they may also offer insights into quantum gravity.

10.91214

10.342753

11.265348

9.915348

10.052895

10.905656

11.046832

10.189927

9.755942

11.017174

10.017884

9.441848

9.841766

9.531501

9.779058

9.250486

9.262786

9.840375

9.833768

9.922334

9.884448

1305.3148

Jan Ambjorn

J. Ambjorn and A. Ipsen

2d CDT with gauge fields

13 pages, 3 figures. Paragraph describing classical action added

null

10.1103/PhysRevD.88.067502

null

hep-th gr-qc hep-lat

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

Two-dimensional Causal Dynamical Triangulations provides a definition of the path integral for projectable two-dimensional Horava-Lifshitz quantum gravity. We solve the theory coupled to gauge fields.

[ { "created": "Tue, 14 May 2013 13:15:23 GMT", "version": "v1" }, { "created": "Wed, 29 May 2013 15:38:20 GMT", "version": "v2" } ]

2013-10-02

[ [ "Ambjorn", "J.", "" ], [ "Ipsen", "A.", "" ] ]

Two-dimensional Causal Dynamical Triangulations provides a definition of the path integral for projectable two-dimensional Horava-Lifshitz quantum gravity. We solve the theory coupled to gauge fields.

18.954166

9.298428

11.282013

9.302263

9.946549

8.984185

9.262279

10.721642

10.226726

15.398588

9.505079

11.044357

12.132678

11.251248

11.285133

10.632882

10.358246

10.944858

10.944939

14.263831

11.146501

1308.4072

Gabriel Luchini

H. E. Baron, G. Luchini, W. J. Zakrzewski

Collective coordinate approximation to the scattering of solitons in the (1+1) dimensional NLS model

null

Journal of Physics A: Mathematical and Theoretical, v. 47, n. 26, 2014

10.1088/1751-8113/47/26/265201

null

hep-th nlin.SI

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

We present a collective coordinate approximation to model the dynamics of two interacting nonlinear Schr\"odinger (NLS) solitons. We discuss the accuracy of this approximation by comparing our results to those of the full numerical simulations and find that it is remarkably accurate not only when the solitons are some distance apart but also during their interaction.

[ { "created": "Mon, 19 Aug 2013 16:35:59 GMT", "version": "v1" }, { "created": "Tue, 3 Mar 2015 12:31:40 GMT", "version": "v2" } ]

2015-03-04

[ [ "Baron", "H. E.", "" ], [ "Luchini", "G.", "" ], [ "Zakrzewski", "W. J.", "" ] ]

We present a collective coordinate approximation to model the dynamics of two interacting nonlinear Schr\"odinger (NLS) solitons. We discuss the accuracy of this approximation by comparing our results to those of the full numerical simulations and find that it is remarkably accurate not only when the solitons are some distance apart but also during their interaction.

7.122275

6.305956

6.871585

6.183756

5.996824

6.411341

6.444485

6.593981

5.943974

6.763395

5.57454

6.430282

7.002489

6.442821

6.297432

6.578306

6.212097

6.390175

6.589113

7.233396

6.269878

2308.04349

Thomas Fl\"oss

Thomas Fl\"oss, Diederik Roest, Tom Westerdijk

Non-linear Electrodynamics from Massive Gravity

7 pages. v2 matches version accepted for JHEP

null

10.1007/JHEP02(2024)194

null

hep-th

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

As a counterpart to the four-fermion interaction, which describes massive vector exchange at low energies, we investigate the low energy effective action of photons under exchange of a massive graviton. We show how integrating out a massive graviton leads to the most general duality-invariant vector interactions in 4D or, vice versa, how any such interactions have a natural interpretation within massive gravity. Moreover, we demonstrate how the special case of Born-Infeld theory arises from arguably the simplest graviton potential within ghost-free dRGT massive gravity.

[ { "created": "Tue, 8 Aug 2023 15:53:12 GMT", "version": "v1" }, { "created": "Wed, 7 Feb 2024 19:53:54 GMT", "version": "v2" } ]

2024-02-27

[ [ "Flöss", "Thomas", "" ], [ "Roest", "Diederik", "" ], [ "Westerdijk", "Tom", "" ] ]

As a counterpart to the four-fermion interaction, which describes massive vector exchange at low energies, we investigate the low energy effective action of photons under exchange of a massive graviton. We show how integrating out a massive graviton leads to the most general duality-invariant vector interactions in 4D or, vice versa, how any such interactions have a natural interpretation within massive gravity. Moreover, we demonstrate how the special case of Born-Infeld theory arises from arguably the simplest graviton potential within ghost-free dRGT massive gravity.

12.431151

11.903306

12.949855

11.348505

12.441192

12.86388

12.834773

10.758283

12.046631

13.820513

11.032509

11.22148

11.861156

11.544713

12.035108

11.015288

11.247343

11.169302

11.251882

11.453473

11.27574

2108.05310

Albrecht Klemm

Kilian B\"onisch, Claude Duhr, Fabian Fischbach, Albrecht Klemm and Christoph Nega

Feynman Integrals in Dimensional Regularization and Extensions of Calabi-Yau Motives

112 pages, 3 figures

null

10.1007/JHEP09(2022)156

BONN-TH-2021-05

hep-th hep-ph math.AG

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

We provide a comprehensive summary of concepts from Calabi-Yau motives relevant to the computation of multi-loop Feynman integrals. From this we derive several consequences for multi-loop integrals in general, and we illustrate them on the example of multi-loop banana integrals. For example, we show how Griffiths transversality, known from the theory of variation of mixed Hodge structures, leads quite generically to a set of quadratic relations among maximal cut integrals associated to Calabi-Yau motives. These quadratic relations then naturally lead to a compact expression for $l$-loop banana integrals in $D=2$ dimensions in terms of an integral over a period of a Calabi-Yau $(l-1)$-fold. This new integral representation generalizes in a natural way the known representations for $l\le 3$ involving logarithms with square root arguments and iterated integrals of Eisenstein series. In a second part, we show how the results obtained by some of the authors in earlier work can be extended to dimensional regularization. We present a method to obtain the differential equations for banana integrals with an arbitrary number of loops in dimensional regularization without the need to solve integration-by-parts relations. We also present a compact formula for the leading asymptotics of banana integrals with an arbitrary number of loops in the large momentum limit. This generalizes the novel $\widehat{\Gamma}$-class introduced by some of the authors to dimensional regularization and provides a convenient boundary condition to solve the differential equations for the banana integrals. As an application, we present for the first time numerical results for equal-mass banana integrals with up to four loops and up to second order in the dimensional regulator.

[ { "created": "Wed, 11 Aug 2021 16:39:23 GMT", "version": "v1" } ]

2022-10-19

[ [ "Bönisch", "Kilian", "" ], [ "Duhr", "Claude", "" ], [ "Fischbach", "Fabian", "" ], [ "Klemm", "Albrecht", "" ], [ "Nega", "Christoph", "" ] ]

We provide a comprehensive summary of concepts from Calabi-Yau motives relevant to the computation of multi-loop Feynman integrals. From this we derive several consequences for multi-loop integrals in general, and we illustrate them on the example of multi-loop banana integrals. For example, we show how Griffiths transversality, known from the theory of variation of mixed Hodge structures, leads quite generically to a set of quadratic relations among maximal cut integrals associated to Calabi-Yau motives. These quadratic relations then naturally lead to a compact expression for $l$-loop banana integrals in $D=2$ dimensions in terms of an integral over a period of a Calabi-Yau $(l-1)$-fold. This new integral representation generalizes in a natural way the known representations for $l\le 3$ involving logarithms with square root arguments and iterated integrals of Eisenstein series. In a second part, we show how the results obtained by some of the authors in earlier work can be extended to dimensional regularization. We present a method to obtain the differential equations for banana integrals with an arbitrary number of loops in dimensional regularization without the need to solve integration-by-parts relations. We also present a compact formula for the leading asymptotics of banana integrals with an arbitrary number of loops in the large momentum limit. This generalizes the novel $\widehat{\Gamma}$-class introduced by some of the authors to dimensional regularization and provides a convenient boundary condition to solve the differential equations for the banana integrals. As an application, we present for the first time numerical results for equal-mass banana integrals with up to four loops and up to second order in the dimensional regulator.

6.497889

6.847857

6.983091

6.437218

7.045074

6.6104

6.55631

6.469373

6.319296

7.372445

6.372309

6.439088

6.491985

6.30515

6.567416

6.460461

6.211522

6.366939

6.333584

6.598903

6.426841

1412.2162

Adil Belhaj Rogani

A. Belhaj, M. Chabab, H. El Moumni, K. Masmar, M. B. Sedra

Maxwell's equal-area law for Gauss-Bonnet Anti-de Sitter black holes

18 pages, 4 figures, latex. References added and typos corrected. Minor changes. Final version accepted in European Physical Journal C

null

10.1140/epjc/s10052-015-3299-7

null

hep-th

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

Interpreting the cosmological constant \Lambda as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume, we study the Maxwell's equal area law of higher dimensional Gauss-Bonnet-AdS black holes in extended phase space. These black hole solutions critically behave like Van der Waals systems. It has been realized that below the critical temperature T_c the stable equilibrium is violated. We show through calculations that the critical behaviors for the uncharged black holes only appear in d=5. For the charged case, we analyse solutions in d = 5 and d = 6 separately and find that, up to some constrains, the critical behaviors only appear in the spherical topology. Using the Maxwell's construction, we also find the isobar line for which the liquid-gas-like phases coexist.

[ { "created": "Fri, 5 Dec 2014 21:57:01 GMT", "version": "v1" }, { "created": "Sun, 14 Dec 2014 22:21:08 GMT", "version": "v2" }, { "created": "Sun, 1 Feb 2015 23:03:51 GMT", "version": "v3" } ]

2015-06-23

[ [ "Belhaj", "A.", "" ], [ "Chabab", "M.", "" ], [ "Moumni", "H. El", "" ], [ "Masmar", "K.", "" ], [ "Sedra", "M. B.", "" ] ]

Interpreting the cosmological constant \Lambda as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume, we study the Maxwell's equal area law of higher dimensional Gauss-Bonnet-AdS black holes in extended phase space. These black hole solutions critically behave like Van der Waals systems. It has been realized that below the critical temperature T_c the stable equilibrium is violated. We show through calculations that the critical behaviors for the uncharged black holes only appear in d=5. For the charged case, we analyse solutions in d = 5 and d = 6 separately and find that, up to some constrains, the critical behaviors only appear in the spherical topology. Using the Maxwell's construction, we also find the isobar line for which the liquid-gas-like phases coexist.

11.256221

8.873975

9.5509

8.921996

9.321699

9.788409

9.688649

8.808552

9.318321

10.822624

9.582185

9.508313

9.947052

9.746012

9.681891

9.71995

9.978385

9.241973

9.730975

9.936241

9.844291

hep-th/9307181

M. Yoshimura

M.Hotta and M.Yoshimura

Wormhole and Hawking Radiation

9 pages, TU-93-440

Prog.Theor.Phys. 91 (1994) 181-186

10.1143/ptp/91.1.181

null

hep-th gr-qc

null

It is shown in a variant of two dimensional dilaton gravity theories that an arbitrary, localized massive source put in an initially regular spacetime gives rise to formation of the wormhole classically, without accompanying the curvature singularity. The semiclassical quantum correction under this wormhole spacetime yields Hawking radiation. It is expected, with the quantum back reaction added to the classical equation, that the information loss paradox may be resolved in this model.

[ { "created": "Thu, 29 Jul 1993 08:29:18 GMT", "version": "v1" }, { "created": "Mon, 2 Aug 1993 10:02:36 GMT", "version": "v2" }, { "created": "Wed, 11 Aug 1993 04:28:21 GMT", "version": "v3" }, { "created": "Thu, 12 Aug 1993 07:14:20 GMT", "version": "v4" } ]

2017-02-01

[ [ "Hotta", "M.", "" ], [ "Yoshimura", "M.", "" ] ]

It is shown in a variant of two dimensional dilaton gravity theories that an arbitrary, localized massive source put in an initially regular spacetime gives rise to formation of the wormhole classically, without accompanying the curvature singularity. The semiclassical quantum correction under this wormhole spacetime yields Hawking radiation. It is expected, with the quantum back reaction added to the classical equation, that the information loss paradox may be resolved in this model.

20.86488

17.155069

16.857445

17.76951

16.103733

17.126373

17.430029

16.145206

15.900731

19.007915

16.565987

17.558485

18.099314

17.203823

18.060659

17.728239

16.887764

17.168257

18.055035

18.241243

17.335823

hep-th/0108119

null

Andrew J. Tolley and Neil Turok

Quantization of the massless minimally coupled scalar field and the dS/CFT correspondence

14 pages, LaTex file, one PostScript figure

null

hep-th

null

We consider the quantization of the massless minimally coupled scalar field in de Sitter spacetime. The no-boundary Euclidean prescription naturally picks out the de Sitter invariant vacuum state of Kirsten and Garriga. We extend Strominger's dS/CFT correspondence to this case which allows us to interpret the massless field in terms of a Euclidean CFT. The extension is non-trivial and requires careful treatment of the zero mode. Since the graviton is massless, this work may also be considered a step towards a theory of gravity in de Sitter space.

[ { "created": "Thu, 16 Aug 2001 14:27:24 GMT", "version": "v1" }, { "created": "Tue, 23 Jul 2002 18:00:10 GMT", "version": "v2" } ]

2007-05-23

[ [ "Tolley", "Andrew J.", "" ], [ "Turok", "Neil", "" ] ]

We consider the quantization of the massless minimally coupled scalar field in de Sitter spacetime. The no-boundary Euclidean prescription naturally picks out the de Sitter invariant vacuum state of Kirsten and Garriga. We extend Strominger's dS/CFT correspondence to this case which allows us to interpret the massless field in terms of a Euclidean CFT. The extension is non-trivial and requires careful treatment of the zero mode. Since the graviton is massless, this work may also be considered a step towards a theory of gravity in de Sitter space.

7.93577

8.057981

7.358721

7.123576

7.698647

7.686974

6.978777

6.641819

7.269725

7.515414

7.344088

7.841733

7.483294

7.464264

7.66027

7.896946

7.843127

7.439838

7.447196

7.527675

7.302315

2202.04334

Wenliang Li

Null bootstrap for non-Hermitian Hamiltonians

v4: 8 pages, 3 figures, title changed in accord to the published version (but also applies to Hermitian Hamiltonians!), Fig.3 added about the relation between the positive and the null bootstrap, footnote 19 added about the double well potential, discussion improved; v3: a new section added about ladder operators and matrix elements, minor improvements, typos corrected, references added

null

10.1103/PhysRevD.106.125021

null

hep-th cond-mat.stat-mech cond-mat.str-el hep-lat quant-ph

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

A stable physical system has an energy spectrum that is bounded from below. For quantum systems, the dangerous states of unboundedly low energies should decouple and become null. We propose the principle of nullness and apply it to the bootstrap study of Hermitian and non-Hermitian anharmonic oscillators.

[ { "created": "Wed, 9 Feb 2022 08:41:59 GMT", "version": "v1" }, { "created": "Thu, 7 Jul 2022 06:49:40 GMT", "version": "v2" }, { "created": "Thu, 18 Aug 2022 03:26:19 GMT", "version": "v3" }, { "created": "Sat, 31 Dec 2022 00:39:47 GMT", "version": "v4" } ]

2023-01-03

[ [ "Li", "Wenliang", "" ] ]

A stable physical system has an energy spectrum that is bounded from below. For quantum systems, the dangerous states of unboundedly low energies should decouple and become null. We propose the principle of nullness and apply it to the bootstrap study of Hermitian and non-Hermitian anharmonic oscillators.

16.779421

13.043037

18.370159

14.192231

14.26863

17.310415

12.792388

12.817416

13.603129

20.648197

11.926996

12.643415

15.131203

14.260593

13.482805

13.224209

13.484792

13.972817

14.53963

15.127858

12.973813

1110.0861

Shan Hu

Shan Hu, Dimitri Nanopoulos

Hopf-Wess-Zumino term in the effective action of the 6d, (2, 0) field theory revisted

24 pages, accepted by JHEP; v2: references added

JHEP 1110:054, 2011

10.1007/JHEP10(2011)054

ACT-16-11; MIFPA-11-46

hep-th

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

We discuss the Hopf-Wess-Zumino term in the effective action of the 6d (2, 0) theory of the type A_{N-1} in a generic Coulomb branch. For such terms, the supergravity calculation could be trusted. We calculate the WZ term on supergravity side and show that it could compensate the anomaly deficit, as is required by the anomaly matching condition. In contrast with the SYM theory, in which each WZ term involves one root e_{i}-e_{j}, here, the typical WZ term involves two roots e_{i}-e_{j} and e_{k}-e_{j}. Such kind of triple interaction may come from the integrating out of the massive states carrying three indices. A natural candidate is the recently proposed 1/4 BPS objects in the Coulomb phase of the 6d (2, 0) theories. The WZ term could be derived from the field theory by the integration out of massive degrees of freedom. Without the 6d (2, 0) theory at hand, we take the supersymmetric equations for the 3-algebra valued (2, 0) tensor multiplet as the prototype to see how far we can go. The H_{3}\wedge A_{3} part of the WZ term is obtained, while the A_{3}\wedge F_{4} part, which is the term accounting for the anomaly matching, cannot be produced by the standard fermion loop integration.

[ { "created": "Tue, 4 Oct 2011 22:01:53 GMT", "version": "v1" }, { "created": "Mon, 10 Oct 2011 17:07:54 GMT", "version": "v2" } ]

2011-11-17

[ [ "Hu", "Shan", "" ], [ "Nanopoulos", "Dimitri", "" ] ]

We discuss the Hopf-Wess-Zumino term in the effective action of the 6d (2, 0) theory of the type A_{N-1} in a generic Coulomb branch. For such terms, the supergravity calculation could be trusted. We calculate the WZ term on supergravity side and show that it could compensate the anomaly deficit, as is required by the anomaly matching condition. In contrast with the SYM theory, in which each WZ term involves one root e_{i}-e_{j}, here, the typical WZ term involves two roots e_{i}-e_{j} and e_{k}-e_{j}. Such kind of triple interaction may come from the integrating out of the massive states carrying three indices. A natural candidate is the recently proposed 1/4 BPS objects in the Coulomb phase of the 6d (2, 0) theories. The WZ term could be derived from the field theory by the integration out of massive degrees of freedom. Without the 6d (2, 0) theory at hand, we take the supersymmetric equations for the 3-algebra valued (2, 0) tensor multiplet as the prototype to see how far we can go. The H_{3}\wedge A_{3} part of the WZ term is obtained, while the A_{3}\wedge F_{4} part, which is the term accounting for the anomaly matching, cannot be produced by the standard fermion loop integration.

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