LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1301.0882

Anatoly Kotikov Vassilievich

A.V. Kotikov, L.N. Lipatov

Pomeron in the N=4 supersymmetric gauge model at strong couplings

18 pages, 1 figure, fixed some typos

null

10.1016/j.nuclphysb.2013.06.018

null

hep-th

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

We find the BFKL Pomeron intercept at N=4 supersymmetric gauge theory in the form of the inverse coupling expansion j0=2-2/lambda**(1/2)-1/lambda + 1/4 1/lambda**(3/2) + 2(1+3zeta3)/lambda**(2) + O(1/lambda**(5/2)) with the use of the AdS/CFT correspondence in terms of string energies calculated recently. The corresponding slope gamma'(2) of the anomalous dimension calculated directly up to the fifth order of perturbation theory turns out to be in an agreement with the closed expression obtained from the recent Basso results.

[ { "created": "Sat, 5 Jan 2013 09:10:21 GMT", "version": "v1" }, { "created": "Fri, 3 Jan 2014 12:33:57 GMT", "version": "v2" } ]

2015-06-12

[ [ "Kotikov", "A. V.", "" ], [ "Lipatov", "L. N.", "" ] ]

We find the BFKL Pomeron intercept at N=4 supersymmetric gauge theory in the form of the inverse coupling expansion j0=2-2/lambda**(1/2)-1/lambda + 1/4 1/lambda**(3/2) + 2(1+3zeta3)/lambda**(2) + O(1/lambda**(5/2)) with the use of the AdS/CFT correspondence in terms of string energies calculated recently. The corresponding slope gamma'(2) of the anomalous dimension calculated directly up to the fifth order of perturbation theory turns out to be in an agreement with the closed expression obtained from the recent Basso results.

11.30017

8.813596

10.63992

8.508664

8.442582

8.305247

7.991715

8.405526

8.55004

12.708159

8.94068

9.873647

10.087486

9.44123

9.724539

9.636592

9.847895

9.57267

9.233121

10.330683

9.690614

2011.03486

Oleksandr Diatlyk

O.Diatlyk

Hawking radiation of massive fields in 2D

23 pages, shorter version of the paper to appear in PRD, minor corrections, the title has been changed to meet requirements of the journal

Phys. Rev. D 104, 065011 (2021)

10.1103/PhysRevD.104.065011

null

hep-th gr-qc

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

We extend the classic results of the paper P. C. W. Davies, S. A. Fulling, and W. G. Unruh "Energy-momentum tensor near an evaporating black hole" by considering a massive scalar field in a two dimensions in the presence of a thin shell collapse. We show that outside the shell the WKB approximation is valid for any value of $r$ if $mr_{g} \gg 1$, where $m$ is the mass of the field, and $r_{g}$ is the Schwarzschild radius. Thus, we use semiclassical modes to calculate the flux in the vicinity of the shell, and at spatial infinity, $r \rightarrow +\infty$ at the final stage of the collapse, $t \rightarrow +\infty$ with the use of the covariant point-splitting regularization. We get that near the shell and at the spatial infinity the radiation is thermal with Hawking temperature. We obtain the negative flux $T_{vv}$ in the vicinity of the shell, which is similar to the classic result in the massless case.

[ { "created": "Thu, 5 Nov 2020 12:32:32 GMT", "version": "v1" }, { "created": "Sun, 14 Feb 2021 11:37:49 GMT", "version": "v2" }, { "created": "Sun, 16 May 2021 15:49:53 GMT", "version": "v3" }, { "created": "Tue, 31 Aug 2021 09:12:54 GMT", "version": "v4" } ]

2021-09-22

[ [ "Diatlyk", "O.", "" ] ]

We extend the classic results of the paper P. C. W. Davies, S. A. Fulling, and W. G. Unruh "Energy-momentum tensor near an evaporating black hole" by considering a massive scalar field in a two dimensions in the presence of a thin shell collapse. We show that outside the shell the WKB approximation is valid for any value of $r$ if $mr_{g} \gg 1$, where $m$ is the mass of the field, and $r_{g}$ is the Schwarzschild radius. Thus, we use semiclassical modes to calculate the flux in the vicinity of the shell, and at spatial infinity, $r \rightarrow +\infty$ at the final stage of the collapse, $t \rightarrow +\infty$ with the use of the covariant point-splitting regularization. We get that near the shell and at the spatial infinity the radiation is thermal with Hawking temperature. We obtain the negative flux $T_{vv}$ in the vicinity of the shell, which is similar to the classic result in the massless case.

5.719104

7.527012

6.415799

6.1552

6.75974

7.113485

6.544894

6.620446

6.753761

7.27428

6.567144

6.116642

5.763417

5.656558

5.792896

5.760804

6.208091

5.92107

5.61666

5.618801

5.979669

hep-th/9706062

Visitor

L.N.Granda and S.D.Odintsov

Exact Renormalization Group for O(4) Gauged Supergravity

Latex file, 11 pages

Phys.Lett.B409:206-212,1997

10.1016/S0370-2693(97)00878-2

null

hep-th

null

We study exact renormalization group (RG) in O(4) gauged supergravity using the effective average action formalism. The nonperturbative RG equations for cosmological and newtonian coupling constants are found. It is shown the existence of (nonstable) fixed point of these equations. The solution of RG equation for newtonian coupling constant is qualitatively the same as in Einstein gravity(i.e. it is growing at large distances).

[ { "created": "Tue, 10 Jun 1997 07:00:53 GMT", "version": "v1" } ]

2009-09-17

[ [ "Granda", "L. N.", "" ], [ "Odintsov", "S. D.", "" ] ]

We study exact renormalization group (RG) in O(4) gauged supergravity using the effective average action formalism. The nonperturbative RG equations for cosmological and newtonian coupling constants are found. It is shown the existence of (nonstable) fixed point of these equations. The solution of RG equation for newtonian coupling constant is qualitatively the same as in Einstein gravity(i.e. it is growing at large distances).

8.729301

8.647182

7.834522

8.10323

8.316056

8.174953

7.298624

7.918454

8.613509

9.211331

7.290813

8.407062

8.287427

8.127091

8.572399

8.208252

8.169694

7.664026

8.354752

8.290266

7.840462

hep-th/9705099

Kenji Hotta

Kenji Hotta, Keiji Kikkawa and Hiroshi Kunitomo

Correlation between momentum modes and winding modes in Brandenberger-Vafa's string cosmological model

21 pages, LaTeX, five figures, minor errors corrected

Prog.Theor.Phys. 98 (1997) 687-706

10.1143/PTP.98.687

OU-HET 265

hep-th gr-qc

null

Brandenberger and Vafa have proposed the string cosmological model based on T-duality. In this model, they took the toroidal target space and introduced the new position \tilde{x} conjugate to the winding mode, in addition to the position x conjugate to the momentum mode. In this way they can describe a universe larger than the string scale with the coordinate x and one smaller with the coordinate \tilde{x}. Resultingly, they never encounter the singularity seen in the standard Big Bang scenario. The most interesting phenomenon in this model is the transition from \tilde{x}-space to x-space when the size of universe is nearly the string scale. Here, we define the dispersion of the momentum number m times the winding number w as the `correlation' of momentum modes and winding modes. Then using the statistical mechanics of strings on a torus, we calculate the correlation in low and high temperature limits, and we consider the possibility that we can observe this effect today, but we will see that this is unlikely.

[ { "created": "Wed, 14 May 1997 12:46:48 GMT", "version": "v1" }, { "created": "Thu, 11 Sep 1997 10:20:51 GMT", "version": "v2" }, { "created": "Wed, 17 Sep 2003 15:05:07 GMT", "version": "v3" } ]

2009-10-30

[ [ "Hotta", "Kenji", "" ], [ "Kikkawa", "Keiji", "" ], [ "Kunitomo", "Hiroshi", "" ] ]

Brandenberger and Vafa have proposed the string cosmological model based on T-duality. In this model, they took the toroidal target space and introduced the new position \tilde{x} conjugate to the winding mode, in addition to the position x conjugate to the momentum mode. In this way they can describe a universe larger than the string scale with the coordinate x and one smaller with the coordinate \tilde{x}. Resultingly, they never encounter the singularity seen in the standard Big Bang scenario. The most interesting phenomenon in this model is the transition from \tilde{x}-space to x-space when the size of universe is nearly the string scale. Here, we define the dispersion of the momentum number m times the winding number w as the `correlation' of momentum modes and winding modes. Then using the statistical mechanics of strings on a torus, we calculate the correlation in low and high temperature limits, and we consider the possibility that we can observe this effect today, but we will see that this is unlikely.

10.50799

10.637525

11.589061

9.786567

10.672977

10.557323

10.732835

10.013984

10.340749

12.613461

10.173098

9.856162

9.437824

9.163737

9.631089

9.325471

9.488344

9.505065

9.039468

9.511436

9.843373

2110.00234

Jarah Evslin

Jarah Evslin and Hengyuan Guo

Removing Tadpoles in a Soliton Sector

11+7 pages, no figures, v2: typo in (3.17) fixed

null

10.1007/JHEP11(2021)128

null

hep-th

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

It has long been known that perturbative calculations can be performed in a soliton sector of a quantum field theory by using a soliton Hamiltonian, which is constructed from the defining Hamiltonian by shifting the field by the classical soliton solution. It is also known that even if tadpoles are eliminated in the vacuum sector, they remain in the soliton sector. In this note we show, in the case of quantum kinks at two loops, that the soliton sector tadpoles may be removed by adding certain quantum corrections to the classical solution used in this construction. Stated differently, the renormalization condition that the soliton sector tadpoles vanish may be satisfied by renormalizing the soliton solution.

[ { "created": "Fri, 1 Oct 2021 06:59:12 GMT", "version": "v1" }, { "created": "Mon, 22 Nov 2021 11:39:22 GMT", "version": "v2" } ]

2021-12-01

[ [ "Evslin", "Jarah", "" ], [ "Guo", "Hengyuan", "" ] ]

It has long been known that perturbative calculations can be performed in a soliton sector of a quantum field theory by using a soliton Hamiltonian, which is constructed from the defining Hamiltonian by shifting the field by the classical soliton solution. It is also known that even if tadpoles are eliminated in the vacuum sector, they remain in the soliton sector. In this note we show, in the case of quantum kinks at two loops, that the soliton sector tadpoles may be removed by adding certain quantum corrections to the classical solution used in this construction. Stated differently, the renormalization condition that the soliton sector tadpoles vanish may be satisfied by renormalizing the soliton solution.

6.867492

6.585191

6.861092

6.403176

6.516259

6.922809

6.719677

6.618717

6.1746

7.378265

6.284903

6.451486

6.703508

6.555367

6.569764

6.499424

6.337426

6.43913

6.363521

6.48074

6.352123

0810.2382

Yeuk-Kwan Edna Cheung

Yeuk-Kwan E. Cheung and Feng Xu

Fitting the Galaxy Rotation Curves: Strings versus NFW profile

null

hep-th

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

Remarkable fit of galaxy rotation curves is achieved using a simple model from string theory. The rotation curves of the same group of galaxies are also fit using dark matter model with the generalized Navarro-Frenk-White profile for comparison. String model utilizes three free parameters vs five in the dark matter model. The average chi-squared of the string model fit is 1.649 while that of the dark matter model is 1.513. The generalized NFW profile fits marginally better at a price of two more free parameters.

[ { "created": "Tue, 14 Oct 2008 17:14:12 GMT", "version": "v1" } ]

2008-10-15

[ [ "Cheung", "Yeuk-Kwan E.", "" ], [ "Xu", "Feng", "" ] ]

Remarkable fit of galaxy rotation curves is achieved using a simple model from string theory. The rotation curves of the same group of galaxies are also fit using dark matter model with the generalized Navarro-Frenk-White profile for comparison. String model utilizes three free parameters vs five in the dark matter model. The average chi-squared of the string model fit is 1.649 while that of the dark matter model is 1.513. The generalized NFW profile fits marginally better at a price of two more free parameters.

9.842334

8.862839

8.961791

9.440439

11.192993

10.089003

9.960895

9.488403

9.6584

9.62426

9.202679

8.534045

8.376098

8.260919

8.649156

8.462475

8.472366

8.302129

8.549957

8.538761

8.665118

hep-th/0507049

Mikhail Krivoruchenko

M.I. Krivoruchenko (Moscow, ITEP & Tubingen U.), A.A. Raduta (Tubingen U. & Bucharest U. & Bucharest, IFIN-HH), Amand Faessler (Tubingen U.)

Quantum deformation of the Dirac bracket

18 pages, REVTeX

Phys.Rev. D73 (2006) 025008

10.1103/PhysRevD.73.025008

null

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

null

The quantum deformation of the Poisson bracket is the Moyal bracket. We construct quantum deformation of the Dirac bracket for systems which admit global symplectic basis for constraint functions. Equivalently, it can be considered as an extension of the Moyal bracket to second-class constraints systems and to gauge-invariant systems which become second class when gauge-fixing conditions are imposed.

[ { "created": "Wed, 6 Jul 2005 20:22:30 GMT", "version": "v1" }, { "created": "Wed, 18 Jan 2006 12:40:13 GMT", "version": "v2" } ]

2009-11-11

[ [ "Krivoruchenko", "M. I.", "", "Moscow, ITEP & Tubingen U." ], [ "Raduta", "A. A.", "", "Tubingen\n U. & Bucharest U. & Bucharest, IFIN-HH" ], [ "Faessler", "Amand", "", "Tubingen U." ] ]

The quantum deformation of the Poisson bracket is the Moyal bracket. We construct quantum deformation of the Dirac bracket for systems which admit global symplectic basis for constraint functions. Equivalently, it can be considered as an extension of the Moyal bracket to second-class constraints systems and to gauge-invariant systems which become second class when gauge-fixing conditions are imposed.

12.203032

9.327003

10.655198

9.693423

10.890152

10.854463

10.043217

9.776878

10.381892

11.704461

10.712251

10.312312

10.588073

10.143103

10.531308

9.659726

10.043602

10.560993

10.493514

11.168226

10.083428

hep-th/9412093

Hideaki Aoyama

Hideaki Aoyama and Toshiyuki Harano

Complex-time path-integral formalism for quantum tunneling

23 pages + 8 figures, phyzzx and epsf macros (ps files attached)

Nucl.Phys.B446:315-333,1995

10.1016/0550-3213(95)00163-M

KUCP-0075/KUNS-1311HE(TH)94/17

hep-th

null

The complex-time formalism is developed in the framework of the path-integral formalism, to be used for analysis of the quantum tunneling phenomena. We show that subleading complex-time saddle-points do not account for the right WKB result. Instead, we develop a reduction formula, which enables us to construct Green functions from simple components of the potential, for which saddle-point method is applicable. This method leads us to the valid WKB result, which incorporates imaginary-time instantons and bounces, as well as the real-time boundary conditions.

[ { "created": "Mon, 12 Dec 1994 07:43:59 GMT", "version": "v1" } ]

2011-07-19

[ [ "Aoyama", "Hideaki", "" ], [ "Harano", "Toshiyuki", "" ] ]

The complex-time formalism is developed in the framework of the path-integral formalism, to be used for analysis of the quantum tunneling phenomena. We show that subleading complex-time saddle-points do not account for the right WKB result. Instead, we develop a reduction formula, which enables us to construct Green functions from simple components of the potential, for which saddle-point method is applicable. This method leads us to the valid WKB result, which incorporates imaginary-time instantons and bounces, as well as the real-time boundary conditions.

14.638011

16.055153

15.391541

13.679585

15.814013

16.462063

14.949201

14.064457

13.9269

18.021019

13.238262

14.178459

14.184992

13.320814

13.607758

14.136018

13.581427

14.106081

13.974636

14.595061

14.011769

hep-th/9203031

Petr Horava

Two Dimensional Stringy Black Holes with One Asymptotically Flat Domain

-- 15 pages, no figures

Phys.Lett. B289 (1992) 293-301

10.1016/0370-2693(92)91222-U

null

hep-th

null

The exact black hole solution of 2D closed string theory has, as any other maximally extended Schwarzschild-like geometry, two asymptotically flat spacetime domains. One can get rid of the second domain by gauging the discrete symmetry on the SL(2,R)/U(1) coset that interchanges the two asymptotic domains and preserves the Kruskal time orientation everywhere in the Kruskal plane. Here it is shown that upon performing this orbifold procedure, we obtain a theory of unoriented open and closed strings in a black hole background, with just one asymptotically flat domain and a time-like orbifold singularity at the origin. All of the open string states of the model are confined to the orbifold singularity. We also discuss various physical aspects of the truncated black hole, in particular its target duality -- the model is dual to a conventional open string theory in the black hole geometry.

[ { "created": "Wed, 11 Mar 1992 20:18:39 GMT", "version": "v1" } ]

2009-10-22

[ [ "Horava", "Petr", "" ] ]

The exact black hole solution of 2D closed string theory has, as any other maximally extended Schwarzschild-like geometry, two asymptotically flat spacetime domains. One can get rid of the second domain by gauging the discrete symmetry on the SL(2,R)/U(1) coset that interchanges the two asymptotic domains and preserves the Kruskal time orientation everywhere in the Kruskal plane. Here it is shown that upon performing this orbifold procedure, we obtain a theory of unoriented open and closed strings in a black hole background, with just one asymptotically flat domain and a time-like orbifold singularity at the origin. All of the open string states of the model are confined to the orbifold singularity. We also discuss various physical aspects of the truncated black hole, in particular its target duality -- the model is dual to a conventional open string theory in the black hole geometry.

11.088419

10.870489

11.739614

10.42944

10.291131

11.84645

10.491293

10.318739

9.85199

12.813746

11.143613

10.466242

11.446193

10.528172

10.230683

10.525595

10.406257

10.477033

10.874574

12.080051

10.44949

1707.05003

Katsuki Aoki

Katsuki Aoki and Kei-ichi Maeda

Condensate of Massive Graviton and Dark Matter

25 pages, 3 figures; v2: minor improvements, references added, published version

Phys. Rev. D 97, 044002 (2018)

10.1103/PhysRevD.97.044002

WU-AP/1702/17

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

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

We study coherently oscillating massive gravitons in the ghost-free bigravity theory. This coherent field can be interpreted as a condensate of the massive gravitons. We first define the effective energy-momentum tensor of the coherent massive gravitons in a curved spacetime. We then study the background dynamics of the universe and the cosmic structure formation including the effects of the coherent massive gravitons. We find that the condensate of the massive graviton behaves as a dark matter component of the universe. From the geometrical point of view the condensate is regarded as a spacetime anisotropy. Hence, in our scenario, dark matter is originated from the tiny deformation of the spacetime. We also discuss a production of the spacetime anisotropy and find that the extragalactic magnetic field of a primordial origin can yield a sufficient amount for dark matter.

[ { "created": "Mon, 17 Jul 2017 05:02:09 GMT", "version": "v1" }, { "created": "Thu, 8 Feb 2018 06:50:51 GMT", "version": "v2" } ]

2018-02-09

[ [ "Aoki", "Katsuki", "" ], [ "Maeda", "Kei-ichi", "" ] ]

We study coherently oscillating massive gravitons in the ghost-free bigravity theory. This coherent field can be interpreted as a condensate of the massive gravitons. We first define the effective energy-momentum tensor of the coherent massive gravitons in a curved spacetime. We then study the background dynamics of the universe and the cosmic structure formation including the effects of the coherent massive gravitons. We find that the condensate of the massive graviton behaves as a dark matter component of the universe. From the geometrical point of view the condensate is regarded as a spacetime anisotropy. Hence, in our scenario, dark matter is originated from the tiny deformation of the spacetime. We also discuss a production of the spacetime anisotropy and find that the extragalactic magnetic field of a primordial origin can yield a sufficient amount for dark matter.

6.313938

6.556729

6.35627

5.720831

6.209574

6.382275

6.533737

5.993986

6.055406

6.216666

6.262532

6.243803

5.85328

5.963134

6.134322

6.210017

6.240999

5.966755

5.975461

6.137401

6.027532

1908.05791

Junya Yagi

Jihwan Oh and Junya Yagi

Poisson vertex algebras in supersymmetric field theories

30 pages. v2: references added. v3: references added. v4: various improvements; section 3.5 on 3d N=2 SCFTs added; references added; published version

Lett. Math. Phys. 110 (2020) 2245-2275

10.1007/s11005-020-01290-0

null

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

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

A large class of supersymmetric quantum field theories, including all theories with $\mathcal{N} = 2$ supersymmetry in three dimensions and theories with $\mathcal{N} = 2$ supersymmetry in four dimensions, possess topological-holomorphic sectors. We formulate Poisson vertex algebras in such topological-holomorphic sectors and discuss some examples. For a four-dimensional $\mathcal{N} = 2$ superconformal field theory, the associated Poisson vertex algebra is the classical limit of a vertex algebra generated by a subset of local operators of the theory.

[ { "created": "Thu, 15 Aug 2019 23:12:56 GMT", "version": "v1" }, { "created": "Sun, 1 Sep 2019 21:06:32 GMT", "version": "v2" }, { "created": "Sun, 27 Oct 2019 21:20:51 GMT", "version": "v3" }, { "created": "Mon, 4 May 2020 20:17:33 GMT", "version": "v4" } ]

2021-11-11

[ [ "Oh", "Jihwan", "" ], [ "Yagi", "Junya", "" ] ]

A large class of supersymmetric quantum field theories, including all theories with $\mathcal{N} = 2$ supersymmetry in three dimensions and theories with $\mathcal{N} = 2$ supersymmetry in four dimensions, possess topological-holomorphic sectors. We formulate Poisson vertex algebras in such topological-holomorphic sectors and discuss some examples. For a four-dimensional $\mathcal{N} = 2$ superconformal field theory, the associated Poisson vertex algebra is the classical limit of a vertex algebra generated by a subset of local operators of the theory.

4.424404

4.028559

5.002202

4.021931

4.087616

4.17879

4.128707

4.12832

4.026404

4.842706

3.992148

4.04335

4.589022

4.094496

4.18513

4.062883

4.176049

4.188383

4.137344

4.449605

3.99684

hep-th/9110053

Martin Rocek

Martin Rocek and Erik Verlinde

Duality, Quotients, and Currents

20 pages

Nucl.Phys. B373 (1992) 630-646

10.1016/0550-3213(92)90269-H

null

hep-th

null

We study the generalization of $R\to 1/R$ duality to arbitrary conformally invariant sigma models with an isometry. We show that any pair of dual sigma models can be represented as quotients of a self-dual sigma model obtained by gauging different combinations of chiral currents. This observation is used to clarify the interpretation of the generalized duality as a symmetry of conformal field theory. We extend these results to $N=2$ supersymmetric sigma models.

[ { "created": "Fri, 18 Oct 1991 15:34:46 GMT", "version": "v1" } ]

2009-10-22

[ [ "Rocek", "Martin", "" ], [ "Verlinde", "Erik", "" ] ]

We study the generalization of $R\to 1/R$ duality to arbitrary conformally invariant sigma models with an isometry. We show that any pair of dual sigma models can be represented as quotients of a self-dual sigma model obtained by gauging different combinations of chiral currents. This observation is used to clarify the interpretation of the generalized duality as a symmetry of conformal field theory. We extend these results to $N=2$ supersymmetric sigma models.

7.865913

6.560768

8.094234

6.814394

7.5046

6.483586

6.968638

6.48859

6.920865

8.369266

6.573247

6.580333

7.604754

7.098032

6.64558

6.889565

6.91437

6.403251

7.317325

7.536546

6.672787

1110.4967

Luigi Pilo

D. Comelli, M. Crisostomi, F. Nesti and L. Pilo

Spherically Symmetric Solutions in Ghost-Free Massive Gravity

15 pages. Some change in the references

null

10.1103/PhysRevD.85.024044

null

hep-th gr-qc hep-ph

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

Recently, a class of theories of massive gravity has been shown to be ghost-free. We study the spherically symmetric solutions in the bigravity formulation of such theories. In general, the solutions admit both a Lorentz invariant and a Lorentz breaking asymptotically flat behaviour and also fall in two branches. In the first branch, all solutions can be found analitycally and are Schwarzschild-like, with no modification as is found for other classes of theories. In the second branch, exact solutions are hard to find, and relying on perturbation theory, Yukawa-like modifications of the static potential are found. The general structure of the solutions suggests that the bigravity formulation of massive gravity is crucial and more than a tool.

[ { "created": "Sat, 22 Oct 2011 11:38:57 GMT", "version": "v1" }, { "created": "Tue, 8 Nov 2011 16:16:02 GMT", "version": "v2" } ]

2013-05-30

[ [ "Comelli", "D.", "" ], [ "Crisostomi", "M.", "" ], [ "Nesti", "F.", "" ], [ "Pilo", "L.", "" ] ]

Recently, a class of theories of massive gravity has been shown to be ghost-free. We study the spherically symmetric solutions in the bigravity formulation of such theories. In general, the solutions admit both a Lorentz invariant and a Lorentz breaking asymptotically flat behaviour and also fall in two branches. In the first branch, all solutions can be found analitycally and are Schwarzschild-like, with no modification as is found for other classes of theories. In the second branch, exact solutions are hard to find, and relying on perturbation theory, Yukawa-like modifications of the static potential are found. The general structure of the solutions suggests that the bigravity formulation of massive gravity is crucial and more than a tool.

9.883294

9.909465

9.678489

9.378938

10.036526

10.248685

9.966858

9.51663

9.566228

10.334294

9.059941

9.43499

9.453192

9.106359

9.325498

9.449235

9.245191

9.024807

9.340495

9.589637

9.184179

hep-th/0108223

Guilherme de Berredo-Peixoto

G. de Berredo-Peixoto

A note on the heat kernel method applied to fermions

5 pages, LaTeX, no figures. Revised version

Mod.Phys.Lett. A16 (2001) 2463-2468

10.1142/S0217732301005965

null

hep-th

null

The spectrum of the fermionic operators depending on external fields is an important object in Quantum Field Theory. In this paper we prove, using transition to the alternative basis for the $\gamma$-matrices, that this spectrum does not depend on the sign of the fermion mass, up to a constant factor. This assumption has been extensively used, but usually without proof. As an illustration, we calculated the coincidence limit of the coefficient $a_2(x,x^\prime)$ on the general metric background, vector and axial vector fields.

[ { "created": "Wed, 29 Aug 2001 22:47:23 GMT", "version": "v1" }, { "created": "Fri, 11 Jan 2002 21:55:43 GMT", "version": "v2" } ]

2009-11-07

[ [ "de Berredo-Peixoto", "G.", "" ] ]

The spectrum of the fermionic operators depending on external fields is an important object in Quantum Field Theory. In this paper we prove, using transition to the alternative basis for the $\gamma$-matrices, that this spectrum does not depend on the sign of the fermion mass, up to a constant factor. This assumption has been extensively used, but usually without proof. As an illustration, we calculated the coincidence limit of the coefficient $a_2(x,x^\prime)$ on the general metric background, vector and axial vector fields.

14.384553

14.025609

12.684393

13.136776

13.209833

14.187806

13.977892

12.809237

12.857983

14.523751

12.488898

13.47127

12.801193

12.601938

12.509864

12.761946

12.738585

12.919909

12.788579

12.864733

13.247643

hep-th/0003170

Xavier Bekaert

Xavier Bekaert, Bernard Knaepen and Christiane Schomblond

Couplings of gravity to antisymmetric gauge fields

11 pages, no figures, Latex2.09

Phys.Lett. B481 (2000) 89-96

10.1016/S0370-2693(00)00422-6

ULB-TH-00/08, DAMTP-2000-35

hep-th gr-qc

null

We classify all the first-order vertices of gravity consistently coupled to a system of 2-form gauge fields by computing the local BRST cohomology H(s|d) in ghost number 0 and form degree n. The consistent deformations are at most linear in the undifferentiated two-form, confirming the previous results of [1] that geometrical theories constructed from a nonsymmetric gravity theory are physically inconsistent or trivial. No assumption is made here on the degree of homogeneity in the derivatives nor on the form of the gravity action.

[ { "created": "Mon, 20 Mar 2000 15:51:15 GMT", "version": "v1" } ]

2009-10-31

[ [ "Bekaert", "Xavier", "" ], [ "Knaepen", "Bernard", "" ], [ "Schomblond", "Christiane", "" ] ]

We classify all the first-order vertices of gravity consistently coupled to a system of 2-form gauge fields by computing the local BRST cohomology H(s|d) in ghost number 0 and form degree n. The consistent deformations are at most linear in the undifferentiated two-form, confirming the previous results of [1] that geometrical theories constructed from a nonsymmetric gravity theory are physically inconsistent or trivial. No assumption is made here on the degree of homogeneity in the derivatives nor on the form of the gravity action.

18.792061

16.931374

20.592377

17.882719

18.975422

18.918539

16.806467

18.591797

17.870995

20.159616

17.590988

16.750942

16.388578

17.261692

18.078697

17.293436

17.345379

16.9825

17.129326

17.140972

17.822687

2205.01738

Benjamin Knorr

Benjamin Knorr, Samuel Pirlo, Chris Ripken, Frank Saueressig

Cartographing gravity-mediated scattering amplitudes: scalars and photons

null

hep-th gr-qc

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

The effective action includes all quantum corrections arising in a given quantum field theory. Thus it serves as a powerful generating functional from which quantum-corrected scattering amplitudes can be constructed via tree-level computations. In this work we use this framework for studying gravity-mediated two-to-two scattering processes involving scalars and photons as external particles. We construct a minimal basis of interaction monomials capturing all contributions to these processes. This classification goes beyond the expansions used in effective field theory since it retains the most general momentum dependence in the propagators and couplings. In this way, we derive the most general scattering amplitudes compatible with a relativistic quantum field theory. Comparing to tree-level scattering in general relativity, we identify the differential cross sections which are generated by the non-trivial momentum dependence of the interaction vertices.

[ { "created": "Tue, 3 May 2022 19:20:08 GMT", "version": "v1" } ]

2022-05-05

[ [ "Knorr", "Benjamin", "" ], [ "Pirlo", "Samuel", "" ], [ "Ripken", "Chris", "" ], [ "Saueressig", "Frank", "" ] ]

The effective action includes all quantum corrections arising in a given quantum field theory. Thus it serves as a powerful generating functional from which quantum-corrected scattering amplitudes can be constructed via tree-level computations. In this work we use this framework for studying gravity-mediated two-to-two scattering processes involving scalars and photons as external particles. We construct a minimal basis of interaction monomials capturing all contributions to these processes. This classification goes beyond the expansions used in effective field theory since it retains the most general momentum dependence in the propagators and couplings. In this way, we derive the most general scattering amplitudes compatible with a relativistic quantum field theory. Comparing to tree-level scattering in general relativity, we identify the differential cross sections which are generated by the non-trivial momentum dependence of the interaction vertices.

11.325974

11.222681

11.781852

11.473181

11.646292

11.605925

11.389234

11.274565

10.813373

11.610034

10.315367

10.84852

10.616615

10.435618

10.937053

10.608425

10.400747

10.465084

10.599307

10.7175

10.575766

hep-th/9411080

Tobias Hurth

Nonabelian Gauge Theories: The Causal Approach

77 pages, latex, no figures, final version

Annals Phys. 244 (1995) 340-425

10.1006/aphy.1995.1117

Zuerich University Preprint ZU-TH-36/94

hep-th hep-ph

null

We present the causal construction of perturbative Yang-Mills theories in four(3+1)-dimensional space-time. We work with free quantum fields throughout. The inductive causal method by Epstein and Glaser leads directly to a finite perturbation series and does not rely on an intermediary regularization of the theory. The causal method naturally separates the physical infrared problem of massless theories from ultraviolet-sensitive features like normalizability by regarding the distributional character of the S-matrix. We prove the normalizability of the Yang-Mills theory with fermionic matter fields and study the discrete symmetry transformations in the causal formalism. We introduce a definition of nonabelian gauge invariance which only involves the free asymptotic field operators and give mathematically rigorous and conceptually simple proofs of nonabelian gauge invariance and of the physical unitarity of the S-matrix in all orders of perturbation theory.

[ { "created": "Fri, 11 Nov 1994 09:39:19 GMT", "version": "v1" }, { "created": "Tue, 15 Nov 1994 11:35:13 GMT", "version": "v2" }, { "created": "Sat, 13 May 1995 16:19:28 GMT", "version": "v3" }, { "created": "Thu, 2 May 1996 06:01:43 GMT", "version": "v4" } ]

2009-10-28

[ [ "Hurth", "Tobias", "" ] ]

We present the causal construction of perturbative Yang-Mills theories in four(3+1)-dimensional space-time. We work with free quantum fields throughout. The inductive causal method by Epstein and Glaser leads directly to a finite perturbation series and does not rely on an intermediary regularization of the theory. The causal method naturally separates the physical infrared problem of massless theories from ultraviolet-sensitive features like normalizability by regarding the distributional character of the S-matrix. We prove the normalizability of the Yang-Mills theory with fermionic matter fields and study the discrete symmetry transformations in the causal formalism. We introduce a definition of nonabelian gauge invariance which only involves the free asymptotic field operators and give mathematically rigorous and conceptually simple proofs of nonabelian gauge invariance and of the physical unitarity of the S-matrix in all orders of perturbation theory.

11.328843

10.487276

11.75534

11.201229

10.8788

10.382169

10.658257

10.519094

10.827363

12.63778

10.275812

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11.099263

11.078353

10.996128

10.793846

10.912418

10.477427

10.905042

11.177294

10.668735

2102.13534

Olaf Lechtenfeld

Electromagnetic knots from de Sitter space

1+11 pages, 4 figures, presented at the RDP online workshop "Recent Advances in Mathematical Physics" - Regio2020, 06 December 2020; v2: annoying typo in eq.(12) corrected

PoS Regio2020 (2020) 011

null

hep-th math-ph math.MP

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

We find all analytic SU(2) Yang-Mills solutions on de Sitter space by reducing the field equations to Newton's equation for a particle in a particular 3d potential and solving the latter in a special case. In contrast, Maxwell's equations on de Sitter space can be solved in generality, by separating them in hysperspherical coordinates. Employing a well-known conformal map between (half of) de Sitter space and (the future half of) Minkowski space, the Maxwell solutions are mapped to a complete basis of rational electromagnetic knot configurations. We discuss some of their properties and illustrate the construction method with two nontrivial examples given by rational functions of increasing complexity. The material is partly based on [1,2].

[ { "created": "Fri, 26 Feb 2021 15:10:38 GMT", "version": "v1" }, { "created": "Sat, 3 Apr 2021 20:28:56 GMT", "version": "v2" } ]

2021-04-06

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

We find all analytic SU(2) Yang-Mills solutions on de Sitter space by reducing the field equations to Newton's equation for a particle in a particular 3d potential and solving the latter in a special case. In contrast, Maxwell's equations on de Sitter space can be solved in generality, by separating them in hysperspherical coordinates. Employing a well-known conformal map between (half of) de Sitter space and (the future half of) Minkowski space, the Maxwell solutions are mapped to a complete basis of rational electromagnetic knot configurations. We discuss some of their properties and illustrate the construction method with two nontrivial examples given by rational functions of increasing complexity. The material is partly based on [1,2].

12.449148

12.330736

12.324789

10.499496

13.222988

12.104799

12.246334

11.068429

11.76066

13.336552

11.109358

11.286913

11.4032

10.789876

11.340204

10.761007

11.010906

10.895127

11.257637

11.554081

10.943428

1211.3543

Alexander Monin

Alexander Monin, Mikhail Shaposhnikov

Comment on the paper "Minimal Fields of Canonical Dimensionality are Free" [arXiv:1210.3864] by S. Weinberg

null

hep-th

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

In this note we show that in a scale invariant relativistic field theory fields of canonical dimensionality are not necessarily free provided the scale invariance is spontaneously broken.

[ { "created": "Thu, 15 Nov 2012 09:34:57 GMT", "version": "v1" } ]

2012-11-16

[ [ "Monin", "Alexander", "" ], [ "Shaposhnikov", "Mikhail", "" ] ]

In this note we show that in a scale invariant relativistic field theory fields of canonical dimensionality are not necessarily free provided the scale invariance is spontaneously broken.

17.693449

13.018349

13.358267

13.32338

12.957235

13.891943

14.738731

13.102018

12.354851

16.277409

13.874757

13.350954

14.894566

14.073825

14.421027

14.881428

14.248179

14.099501

13.993754

14.441592

14.171474

1610.09793

Kiminad Mamo

Kiminad A. Mamo

Strongly coupled $\mathcal{N}=4$ super Yang-Mills plasma on the Coulomb branch II: Transport coefficients and hard probe parameters

7 pages, 6 figures; title changed

Phys. Rev. D 100, 066011 (2019)

10.1103/PhysRevD.100.066011

null

hep-th hep-ph nucl-th

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

We study $\mathcal{N} = 4$ super Yang-Mills theory on the Coulomb branch (cSYM) by using its Type IIB supergravity dual. We compute the transport coefficients, and hard probe parameters of $\mathcal{N} = 4$ cSYM at finite temperature $T$. We use the rotating black 3-brane solution of Type IIB supergravity with a single non-zero rotation parameter $r_{0}$ after analytically continuing $r_{0}\rightarrow -ir_{0}$, and in an ensemble where the Hawking temperature $T$ and a scalar condensate $<\mathcal{O}>\sim r_{0}^4$ are held fixed. We find that the bulk viscosity to entropy density ratio of the large black hole branch decreases with temperature and has a maxima around the critical temperature $T_{c}$ while, for the small black hole branch, it increases with temperature. The other transport coefficients and parameters of hard probes, such as the conductivity, jet quenching parameter, drag force, and momentum diffusion coefficients of the large black hole branch increase with temperature and asymptote to their conformal value while, for the small black hole branch, they decrease with temperature.

[ { "created": "Mon, 31 Oct 2016 05:49:17 GMT", "version": "v1" }, { "created": "Thu, 13 Jun 2019 05:16:16 GMT", "version": "v2" } ]

2019-09-18

[ [ "Mamo", "Kiminad A.", "" ] ]

We study $\mathcal{N} = 4$ super Yang-Mills theory on the Coulomb branch (cSYM) by using its Type IIB supergravity dual. We compute the transport coefficients, and hard probe parameters of $\mathcal{N} = 4$ cSYM at finite temperature $T$. We use the rotating black 3-brane solution of Type IIB supergravity with a single non-zero rotation parameter $r_{0}$ after analytically continuing $r_{0}\rightarrow -ir_{0}$, and in an ensemble where the Hawking temperature $T$ and a scalar condensate $<\mathcal{O}>\sim r_{0}^4$ are held fixed. We find that the bulk viscosity to entropy density ratio of the large black hole branch decreases with temperature and has a maxima around the critical temperature $T_{c}$ while, for the small black hole branch, it increases with temperature. The other transport coefficients and parameters of hard probes, such as the conductivity, jet quenching parameter, drag force, and momentum diffusion coefficients of the large black hole branch increase with temperature and asymptote to their conformal value while, for the small black hole branch, they decrease with temperature.

5.737247

5.065232

6.035415

5.161718

4.980402

5.428934

5.392096

5.42849

5.108491

6.115945

5.512578

5.3257

5.394333

5.360136

5.432742

5.373753

5.251963

5.291541

5.419291

5.596446

5.302907

1902.06747

Brian Henning

Brian Henning and Tom Melia

Conformal-helicity duality & the Hilbert space of free CFTs

6 pages + supplemental material

null

hep-th

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

We identify a means to explicitly construct primary operators of free conformal field theories (CFTs) in spacetime dimensions $d=2,~3$, and $4$. Working in momentum space with spinors, we find that the $N$-distinguishable-particle Hilbert space $\mathcal{H}_N$ exhibits a $U(N)$ action in $d=4$ ($O(N)$ in $d=2,3$) which dually describes the decomposition of $\mathcal{H}_N$ into irreducible representations of the conformal group. This $U(N)$ is a natural $N$-particle generalization of the single-particle $U(1)$ little group. The spectrum of primary operators is identified with the harmonics of $N$-particle phase space which, specifically, is shown to be the Stiefel manifold $V_2(\mathbb{C}^N) = U(N)/U(N-2)$ (respectively, $V_2(\mathbb{R}^N)$, $V_1(\mathbb{R}^N)$ in $d=3,2$). Lorentz scalar primaries are harmonics on the Grassmannian $G_2(\mathbb{C}^N) \subset V_2(\mathbb{C}^N)$. We provide a recipe to construct these harmonic polynomials using standard $U(N)$ ($O(N)$) representation theory. We touch upon applications to effective field theory and numerical methods in quantum field theory.

[ { "created": "Mon, 18 Feb 2019 19:00:01 GMT", "version": "v1" } ]

2019-02-20

[ [ "Henning", "Brian", "" ], [ "Melia", "Tom", "" ] ]

We identify a means to explicitly construct primary operators of free conformal field theories (CFTs) in spacetime dimensions $d=2,~3$, and $4$. Working in momentum space with spinors, we find that the $N$-distinguishable-particle Hilbert space $\mathcal{H}_N$ exhibits a $U(N)$ action in $d=4$ ($O(N)$ in $d=2,3$) which dually describes the decomposition of $\mathcal{H}_N$ into irreducible representations of the conformal group. This $U(N)$ is a natural $N$-particle generalization of the single-particle $U(1)$ little group. The spectrum of primary operators is identified with the harmonics of $N$-particle phase space which, specifically, is shown to be the Stiefel manifold $V_2(\mathbb{C}^N) = U(N)/U(N-2)$ (respectively, $V_2(\mathbb{R}^N)$, $V_1(\mathbb{R}^N)$ in $d=3,2$). Lorentz scalar primaries are harmonics on the Grassmannian $G_2(\mathbb{C}^N) \subset V_2(\mathbb{C}^N)$. We provide a recipe to construct these harmonic polynomials using standard $U(N)$ ($O(N)$) representation theory. We touch upon applications to effective field theory and numerical methods in quantum field theory.

4.697749

4.652483

4.914789

4.539734

4.687167

4.618826

4.598628

4.509086

4.658208

4.782845

4.416754

4.360286

4.56554

4.490863

4.470463

4.539048

4.48474

4.461472

4.439403

4.583838

4.507134

hep-th/0608212

Denis Dalmazi

D. Dalmazi and Elias L. Mendonca

Static potential in scalar QED$_3$ with non-minimal coupling

13 pages, 3 figures

J.Phys.A39:11091-11099,2006

10.1088/0305-4470/39/35/010

null

hep-th

null

Here we compute the static potential in scalar $QED_3$ at leading order in $1/N_f$. We show that the addition of a non-minimal coupling of Pauli-type ($\eps j^{\mu}\partial^{\nu}A^{\alpha}$), although it breaks parity, it does not change the analytic structure of the photon propagator and consequently the static potential remains logarithmic (confining) at large distances. The non-minimal coupling modifies the potential, however, at small charge separations giving rise to a repulsive force of short range between opposite sign charges, which is relevant for the existence of bound states. This effect is in agreement with a previous calculation based on M$\ddot{o}$ller scattering, but differently from such calculation we show here that the repulsion appears independently of the presence of a tree level Chern-Simons term which rather affects the large distance behavior of the potential turning it into constant.

[ { "created": "Wed, 30 Aug 2006 01:30:38 GMT", "version": "v1" } ]

2009-11-11

[ [ "Dalmazi", "D.", "" ], [ "Mendonca", "Elias L.", "" ] ]

Here we compute the static potential in scalar $QED_3$ at leading order in $1/N_f$. We show that the addition of a non-minimal coupling of Pauli-type ($\eps j^{\mu}\partial^{\nu}A^{\alpha}$), although it breaks parity, it does not change the analytic structure of the photon propagator and consequently the static potential remains logarithmic (confining) at large distances. The non-minimal coupling modifies the potential, however, at small charge separations giving rise to a repulsive force of short range between opposite sign charges, which is relevant for the existence of bound states. This effect is in agreement with a previous calculation based on M$\ddot{o}$ller scattering, but differently from such calculation we show here that the repulsion appears independently of the presence of a tree level Chern-Simons term which rather affects the large distance behavior of the potential turning it into constant.

9.151392

8.107653

9.995902

8.680981

9.157133

8.207424

9.282719

9.518354

9.122835

10.60668

8.422811

8.632075

8.61065

8.50043

8.641564

8.729048

8.98107

8.444262

8.322775

9.111856

8.533103

1110.4883

Volker Braun

Toric Elliptic Fibrations and F-Theory Compactifications

40 pages, 14 figures, 3 tables

null

10.1007/JHEP01(2013)016

null

hep-th math.AG

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

The 102581 flat toric elliptic fibrations over P^2 are identified among the Calabi-Yau hypersurfaces that arise from the 473800776 reflexive 4-dimensional polytopes. In order to analyze their elliptic fibration structure, we describe the precise relation between the lattice polytope and the elliptic fibration. The fiber-divisor-graph is introduced as a way to visualize the embedding of the Kodaira fibers in the ambient toric fiber. In particular in the case of non-split discriminant components, this description is far more accurate than previous studies. The discriminant locus and Kodaria fibers groups of all 102581 elliptic fibrations are computed. The maximal gauge group is SU(27), which would naively be in contradiction with 6-dimensional anomaly cancellation.

[ { "created": "Fri, 21 Oct 2011 19:52:47 GMT", "version": "v1" } ]

2015-05-30

[ [ "Braun", "Volker", "" ] ]

The 102581 flat toric elliptic fibrations over P^2 are identified among the Calabi-Yau hypersurfaces that arise from the 473800776 reflexive 4-dimensional polytopes. In order to analyze their elliptic fibration structure, we describe the precise relation between the lattice polytope and the elliptic fibration. The fiber-divisor-graph is introduced as a way to visualize the embedding of the Kodaira fibers in the ambient toric fiber. In particular in the case of non-split discriminant components, this description is far more accurate than previous studies. The discriminant locus and Kodaria fibers groups of all 102581 elliptic fibrations are computed. The maximal gauge group is SU(27), which would naively be in contradiction with 6-dimensional anomaly cancellation.

13.733649

13.47445

17.995096

12.361755

13.32583

12.870505

12.799304

12.982942

11.908858

18.007702

11.995458

12.255987

13.271205

12.354374

11.9338

12.273825

12.262517

12.591187

12.235927

13.020364

11.91497

1904.10746

Fotis Farakos

Aspects of the new Fayet-Iliopoulos terms

11 pages. Contribution to the proceedings for Corfu Summer Institute 2018 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2018), 31 August - 28 September, 2018, Corfu, Greece

null

hep-th

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

We review the properties of the new type of Fayet-Iliopoulos terms that do not require the gauging of the R-symmetry when embedded in N=1 supergravity, and we discuss recent developments.

[ { "created": "Wed, 24 Apr 2019 11:12:36 GMT", "version": "v1" } ]

2019-04-25

[ [ "Farakos", "Fotis", "" ] ]

We review the properties of the new type of Fayet-Iliopoulos terms that do not require the gauging of the R-symmetry when embedded in N=1 supergravity, and we discuss recent developments.

9.20114

6.665995

8.698834

7.098099

6.818895

6.468835

6.842997

6.026079

6.821277

8.152615

6.735111

7.214788

7.887235

7.339649

7.598704

6.877618

7.195171

7.409352

7.44468

7.947528

7.093937

1009.6032

Edward Witten

A New Look At The Path Integral Of Quantum Mechanics

77 pp

null

hep-th

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

The Feynman path integral of ordinary quantum mechanics is complexified and it is shown that possible integration cycles for this complexified integral are associated with branes in a two-dimensional A-model. This provides a fairly direct explanation of the relationship of the A-model to quantum mechanics; such a relationship has been explored from several points of view in the last few years. These phenomena have an analog for Chern-Simons gauge theory in three dimensions: integration cycles in the path integral of this theory can be derived from N=4 super Yang-Mills theory in four dimensions. Hence, under certain conditions, a Chern-Simons path integral in three dimensions is equivalent to an N=4 path integral in four dimensions.

[ { "created": "Thu, 30 Sep 2010 03:27:58 GMT", "version": "v1" } ]

2010-10-01

[ [ "Witten", "Edward", "" ] ]

The Feynman path integral of ordinary quantum mechanics is complexified and it is shown that possible integration cycles for this complexified integral are associated with branes in a two-dimensional A-model. This provides a fairly direct explanation of the relationship of the A-model to quantum mechanics; such a relationship has been explored from several points of view in the last few years. These phenomena have an analog for Chern-Simons gauge theory in three dimensions: integration cycles in the path integral of this theory can be derived from N=4 super Yang-Mills theory in four dimensions. Hence, under certain conditions, a Chern-Simons path integral in three dimensions is equivalent to an N=4 path integral in four dimensions.

8.192454

7.905363

9.072558

7.562658

7.926503

7.917633

7.88395

8.023523

7.728765

9.39674

7.599061

7.649096

8.017722

7.356654

7.607086

7.810674

7.577647

7.350253

7.631812

8.502775

7.314548

1002.3547

Anatoly Kotikov Vassilievich

A.V. Kotikov

The property of maximal transcendentality in the N=4 SYM

6 pages, published in the Proceedings of International Bogolyubov Conference "Problems of Theoretical and Mathematical Physics" (dedicated to the 100th anniversary of the birth of N.N. Bogolyubov (1909-1992)), Dubna, Russia, August 21 - 27, 2009 (Phys.Part.Nucl. in press)

Phys.Part.Nucl.41:951-953,2010

10.1134/S1063779610060274

null

hep-th

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

We show results for the universal anomalous dimension gamma_{uni}(j) of Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills theory in the first three orders of perturbation theory. These expressions are obtained by extracting the most complicated contributions from the corresponding anomalous dimensions in QCD.

[ { "created": "Thu, 18 Feb 2010 15:39:08 GMT", "version": "v1" } ]

2010-12-09

[ [ "Kotikov", "A. V.", "" ] ]

We show results for the universal anomalous dimension gamma_{uni}(j) of Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills theory in the first three orders of perturbation theory. These expressions are obtained by extracting the most complicated contributions from the corresponding anomalous dimensions in QCD.

10.565753

7.615121

8.881374

8.13638

9.370893

9.826378

10.267725

8.306978

8.210049

9.716657

8.783669

9.237266

9.461407

9.84312

9.28834

9.641795

9.770631

9.983048

9.463504

9.667329

9.366472

hep-th/0006070

Carmen Nunez

Gaston Giribet, Carmen Nunez

Aspects of the free field description of string theory on AdS_3

25 pages, typos corrected, references added, to appear in JHEP

JHEP 0006:033,2000

10.1088/1126-6708/2000/06/033

null

hep-th

null

The near boundary limit of string theory in AdS_3 is analysed using the Wakimoto free field representation of SL(2,R). The theory is considered as a direct product of the SL(2,R)/U(1) coset and a free boson. Correlation functions are constructed generalizing to the non-compact case the integral representation of conformal blocks introduced by Dotsenko in the compact SU(2) CFT. Sectors of the theory obtained by spectral flow manifestly appear. The formalism naturally leads to consider scattering processes violating winding number conservation. The consistency of the procedure is verified in the factorization limit.

[ { "created": "Fri, 9 Jun 2000 21:35:19 GMT", "version": "v1" }, { "created": "Wed, 21 Jun 2000 15:32:19 GMT", "version": "v2" } ]

2009-10-31

[ [ "Giribet", "Gaston", "" ], [ "Nunez", "Carmen", "" ] ]

The near boundary limit of string theory in AdS_3 is analysed using the Wakimoto free field representation of SL(2,R). The theory is considered as a direct product of the SL(2,R)/U(1) coset and a free boson. Correlation functions are constructed generalizing to the non-compact case the integral representation of conformal blocks introduced by Dotsenko in the compact SU(2) CFT. Sectors of the theory obtained by spectral flow manifestly appear. The formalism naturally leads to consider scattering processes violating winding number conservation. The consistency of the procedure is verified in the factorization limit.

10.70575

10.106849

12.757778

10.454926

9.343699

9.532485

9.210831

10.03801

9.66667

13.807728

9.093688

10.056118

10.54129

9.849282

10.230151

9.546959

10.014789

9.901547

10.06003

10.769341

10.079549

hep-th/0208184

Tonnis ter Veldhuis

T.E. Clark, Muneto Nitta, and T. ter Veldhuis

Brane Dynamics From Non-Linear Realizations

37 pages, no figures, revised version to appear in Phys. Rev. D

Phys.Rev.D67:085026,2003

10.1103/PhysRevD.67.085026

null

hep-th hep-ph

null

The action for a non-BPS p=2 brane embedded in a flat N=1, D=4 target superspace is obtained through the method of nonlinear realizations of the associated super-Poincare symmetries. The brane excitation modes correspond to the Nambu-Goldstone degrees of freedom resulting from the broken space translational symmetry and the target space supersymmetries. The action for this p=2 brane is found to be an invariant synthesis of the Akulov-Volkov and Nambu-Goto actions. The dual D2-brane Born-Infeld action is derived. The invariant coupling of matter fields localized on the brane to the Nambu-Goldstone modes is also obtained.

[ { "created": "Mon, 26 Aug 2002 04:13:43 GMT", "version": "v1" }, { "created": "Tue, 8 Apr 2003 22:54:32 GMT", "version": "v2" } ]

2008-11-26

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

The action for a non-BPS p=2 brane embedded in a flat N=1, D=4 target superspace is obtained through the method of nonlinear realizations of the associated super-Poincare symmetries. The brane excitation modes correspond to the Nambu-Goldstone degrees of freedom resulting from the broken space translational symmetry and the target space supersymmetries. The action for this p=2 brane is found to be an invariant synthesis of the Akulov-Volkov and Nambu-Goto actions. The dual D2-brane Born-Infeld action is derived. The invariant coupling of matter fields localized on the brane to the Nambu-Goldstone modes is also obtained.

7.626242

5.031312

7.124998

5.384403

5.438341

5.12987

4.811324

5.21103

5.288002

7.66725

5.411102

6.228379

6.631276

6.173019

6.072042

6.198164

6.287624

6.310283

6.320788

6.498919

6.183995

hep-th/0703271

Shunichiro Kinoshita

Shunichiro Kinoshita, Yuuiti Sendouda, Shinji Mukohyama

Instability of de Sitter brane and horizon entropy in a 6D braneworld

23 pages, 5 figures, REVTeX4; version accepted for publication in JCAP

JCAP 0705:018,2007

10.1088/1475-7516/2007/05/018

UTAP-575, RESCEU-2/07

hep-th gr-qc

null

We investigate thermodynamic and dynamical stability of a family of six-dimensional braneworld solutions with de Sitter branes. First, we investigate thermodynamic stability in terms of de Sitter entropy. We see that the family of solutions is divided into two distinct branches: the high-entropy branch and the low-entropy branch. By analogy with ordinary thermodynamics, the high-entropy branch is expected to be stable and the low-entropy branch to be unstable. Next, we investigate dynamical stability by analyzing linear perturbations around the solutions. Perturbations are decomposed into scalar, vector and tensor sectors according to the representation of the 4D de Sitter symmetry, and each sector is analyzed separately. It is found that when the Hubble expansion rates on the branes are too large, there appears a tachyonic mode in the scalar sector and the background solution becomes dynamically unstable. We show analytically that the onset of the thermodynamic instability and that of the dynamical instability exactly coincide. Therefore, the braneworld model provides a new example illustrating close relations between thermodynamic and dynamical instability.

[ { "created": "Thu, 29 Mar 2007 13:46:09 GMT", "version": "v1" }, { "created": "Thu, 12 Jul 2007 13:04:45 GMT", "version": "v2" } ]

2010-10-27

[ [ "Kinoshita", "Shunichiro", "" ], [ "Sendouda", "Yuuiti", "" ], [ "Mukohyama", "Shinji", "" ] ]

We investigate thermodynamic and dynamical stability of a family of six-dimensional braneworld solutions with de Sitter branes. First, we investigate thermodynamic stability in terms of de Sitter entropy. We see that the family of solutions is divided into two distinct branches: the high-entropy branch and the low-entropy branch. By analogy with ordinary thermodynamics, the high-entropy branch is expected to be stable and the low-entropy branch to be unstable. Next, we investigate dynamical stability by analyzing linear perturbations around the solutions. Perturbations are decomposed into scalar, vector and tensor sectors according to the representation of the 4D de Sitter symmetry, and each sector is analyzed separately. It is found that when the Hubble expansion rates on the branes are too large, there appears a tachyonic mode in the scalar sector and the background solution becomes dynamically unstable. We show analytically that the onset of the thermodynamic instability and that of the dynamical instability exactly coincide. Therefore, the braneworld model provides a new example illustrating close relations between thermodynamic and dynamical instability.

5.038436

4.618639

4.949486

4.555112

5.079991

4.987368

4.785932

4.752347

4.806062

5.221464

4.639627

4.825039

4.793376

4.646546

4.782436

4.730379

4.822118

4.617876

4.629903

4.680887

4.713305

2101.03227

Benjamin Percival Mr

Alon E. Faraggi, Benjamin Percival, Sven Schewe and Dominik Wojtczak

Satisfiability Modulo Theories and Chiral Heterotic String Vacua with Positive Cosmological Constant

16 pages, 2 Figures

null

10.1016/j.physletb.2021.136187

LTH 1250

hep-th hep-ph

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

We apply Boolean Satisfiability (SAT) and Satisfiability Modulo Theories (SMT) solvers in the context of finding chiral heterotic string models with positive cosmological constant from $\mathbb{Z}_2\times \mathbb{Z}_2$ orbifolds. The power of using SAT/SMT solvers to sift large parameter spaces quickly to decide satisfiability, both to declare and prove unsatisfiability and to declare satisfiability, are demonstrated in this setting. These models are partly chosen to be small enough to plot the performance against exhaustive search, which takes around 2 hours 20 minutes to comb through the parameter space. We show that making use of SMT based techniques with integer encoding is rather simple and effective, while a more careful Boolean SAT encoding provides a significant speed-up -- determining satisfiability or unsatisfiability has, in our experiments varied between 0.03 and 0.06 seconds, while determining all models (where models exist) took 19 seconds for a constraint system that allows for 2048 models and 8.4 seconds for a constraint system that admits 640 models. We thus gain several orders of magnitude in speed, and this advantage is set to grow with a growing parameter space. This holds the promise that the method scales well beyond the initial problem we have used it for in this paper.

[ { "created": "Fri, 8 Jan 2021 21:36:09 GMT", "version": "v1" } ]

2021-03-17

[ [ "Faraggi", "Alon E.", "" ], [ "Percival", "Benjamin", "" ], [ "Schewe", "Sven", "" ], [ "Wojtczak", "Dominik", "" ] ]

We apply Boolean Satisfiability (SAT) and Satisfiability Modulo Theories (SMT) solvers in the context of finding chiral heterotic string models with positive cosmological constant from $\mathbb{Z}_2\times \mathbb{Z}_2$ orbifolds. The power of using SAT/SMT solvers to sift large parameter spaces quickly to decide satisfiability, both to declare and prove unsatisfiability and to declare satisfiability, are demonstrated in this setting. These models are partly chosen to be small enough to plot the performance against exhaustive search, which takes around 2 hours 20 minutes to comb through the parameter space. We show that making use of SMT based techniques with integer encoding is rather simple and effective, while a more careful Boolean SAT encoding provides a significant speed-up -- determining satisfiability or unsatisfiability has, in our experiments varied between 0.03 and 0.06 seconds, while determining all models (where models exist) took 19 seconds for a constraint system that allows for 2048 models and 8.4 seconds for a constraint system that admits 640 models. We thus gain several orders of magnitude in speed, and this advantage is set to grow with a growing parameter space. This holds the promise that the method scales well beyond the initial problem we have used it for in this paper.

13.38491

15.242385

14.751655

13.129556

15.09811

13.667315

14.505286

14.473059

13.830376

14.998685

13.419023

13.081882

13.482342

12.97665

13.411554

13.243834

13.55534

13.030723

12.995505

13.606486

12.639865

1002.1435

Ahmad Sheykhi

Agegraphic Chaplygin gas model of dark energy

8 pages

Int.J.Mod.Phys.D18:2023-2034,2009

10.1142/S0218271809015825

null

hep-th

http://creativecommons.org/licenses/by/3.0/

We establish a connection between the agegraphic models of dark energy and Chaplygin gas energy density in non-flat universe. We reconstruct the potential of the agegraphic scalar field as well as the dynamics of the scalar field according to the evolution of the agegraphic dark energy. We also extend our study to the interacting agegraphic generalized Chaplygin gas dark energy model.

[ { "created": "Sun, 7 Feb 2010 07:45:24 GMT", "version": "v1" } ]

2010-02-18

[ [ "Sheykhi", "Ahmad", "" ] ]

We establish a connection between the agegraphic models of dark energy and Chaplygin gas energy density in non-flat universe. We reconstruct the potential of the agegraphic scalar field as well as the dynamics of the scalar field according to the evolution of the agegraphic dark energy. We also extend our study to the interacting agegraphic generalized Chaplygin gas dark energy model.

7.126081

5.463832

5.662603

5.235273

5.955186

5.727034

5.83539

4.879637

5.607656

5.898985

5.885695

6.10612

6.370944

5.902851

6.123755

5.849232

6.09723

6.117443

5.95377

6.401813

6.787891

hep-th/9306114

null

Jan Sladkowski

Field-enlarging transformations and chiral theories

14 pages, LaTeX-file, BI-TP 93/07

Int.J.Theor.Phys. 34 (1995) 1855-1862

10.1007/BF00674066

null

hep-th hep-ph

null

A field-enlarging transformation in the chiral electrodynamics is performed. This introduces an additional gauge symmetry to the model that is unitary and anomaly-free and allows for comparison of different models discussed in the literature. The problem of superfluous degrees of freedom and their influence on quantization is discussed. Several "mysteries" are explained from this point of view.

[ { "created": "Tue, 22 Jun 1993 14:59:23 GMT", "version": "v1" } ]

2015-06-26

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

A field-enlarging transformation in the chiral electrodynamics is performed. This introduces an additional gauge symmetry to the model that is unitary and anomaly-free and allows for comparison of different models discussed in the literature. The problem of superfluous degrees of freedom and their influence on quantization is discussed. Several "mysteries" are explained from this point of view.

19.152548

13.417451

14.948223

14.629024

14.57146

14.972603

15.523261

15.289222

13.087298

14.938512

15.063442

15.042594

14.186317

14.339384

14.32439

15.186636

14.842508

15.175097

14.87114

14.448164

14.762339

hep-th/0005036

Barton Zwiebach

Nicolas Moeller, Ashoke Sen and Barton Zwiebach

D-branes as Tachyon Lumps in String Field Theory

LaTeX file, epsf, 8 figures, 40 pages

JHEP 0008:039,2000

10.1088/1126-6708/2000/08/039

MIT-CTP-2975

hep-th

null

It has been conjectured that the tachyonic lump solution of the open bosonic string field theory describing a D-brane represents a D-brane of one lower dimension. We place the lump on a circle of finite radius and develop a variant of the level expansion scheme that allows systematic account of all higher derivative terms in the string field theory action, and gives a calculational scheme that can be carried to arbitrary accuracy. Using this approach we obtain lump masses that agree with expected D-brane masses to an accuracy of about 1%. We find convincing evidence that in string field theory the lump representing a D-brane is an extended object with a definite profile. A gaussian fit to the lump gives a 6-sigma size of 9.3 \sqrt{\alpha'}. The level truncation scheme developed here naturally gives rise to an infrared and ultraviolet cut-off, and may be useful in the study of quantum string field theory.

[ { "created": "Wed, 3 May 2000 20:01:18 GMT", "version": "v1" } ]

2009-10-31

[ [ "Moeller", "Nicolas", "" ], [ "Sen", "Ashoke", "" ], [ "Zwiebach", "Barton", "" ] ]

It has been conjectured that the tachyonic lump solution of the open bosonic string field theory describing a D-brane represents a D-brane of one lower dimension. We place the lump on a circle of finite radius and develop a variant of the level expansion scheme that allows systematic account of all higher derivative terms in the string field theory action, and gives a calculational scheme that can be carried to arbitrary accuracy. Using this approach we obtain lump masses that agree with expected D-brane masses to an accuracy of about 1%. We find convincing evidence that in string field theory the lump representing a D-brane is an extended object with a definite profile. A gaussian fit to the lump gives a 6-sigma size of 9.3 \sqrt{\alpha'}. The level truncation scheme developed here naturally gives rise to an infrared and ultraviolet cut-off, and may be useful in the study of quantum string field theory.

10.567816

9.595059

9.902756

9.807544

9.81389

10.250088

9.260812

9.572044

9.252459

11.183451

9.309412

9.703493

9.897741

9.712519

9.89607

9.793496

10.088388

10.080495

9.7209

10.502742

9.782857

1708.05313

Tapobrata Sarkar

Pratim Roy, Tapobrata Sarkar

On subregion holographic complexity and renormalization group flows

1 + 22 pages, 14 figures, substantially modified draft

Phys. Rev. D 97, 086018 (2018)

10.1103/PhysRevD.97.086018

null

hep-th

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

We investigate subregion holographic complexity in the context of renormalization group flow geometries. We use both the Poinca\'re slicing and the Janus ansatz as holographic duals to renormalization group flows in the boundary conformal field theory. In the former metric, subregion complexity is computed for a disc and a strip shaped entangling region. For the disc shaped region, consistent emergence of length scales for flow to the deep infra-red is established. For strip shaped regions, we find that complexity cannot locate holographic phase transitions in a sharp domain wall scenario. For smooth domain walls, we find that the complexity might be an indicator of such phase transitions, and give numerical evidence that its derivative changes sign across a transition. Finally, the complexity is computed numerically using the Janus ansatz.

[ { "created": "Thu, 17 Aug 2017 14:36:21 GMT", "version": "v1" }, { "created": "Mon, 27 Nov 2017 15:27:18 GMT", "version": "v2" } ]

2018-05-09

[ [ "Roy", "Pratim", "" ], [ "Sarkar", "Tapobrata", "" ] ]

We investigate subregion holographic complexity in the context of renormalization group flow geometries. We use both the Poinca\'re slicing and the Janus ansatz as holographic duals to renormalization group flows in the boundary conformal field theory. In the former metric, subregion complexity is computed for a disc and a strip shaped entangling region. For the disc shaped region, consistent emergence of length scales for flow to the deep infra-red is established. For strip shaped regions, we find that complexity cannot locate holographic phase transitions in a sharp domain wall scenario. For smooth domain walls, we find that the complexity might be an indicator of such phase transitions, and give numerical evidence that its derivative changes sign across a transition. Finally, the complexity is computed numerically using the Janus ansatz.

11.060179

11.406379

12.70586

11.427749

11.304808

11.519074

12.017657

11.671635

11.390035

15.909654

11.745823

11.275861

12.167835

11.370919

11.202732

11.411055

11.230433

11.575841

11.440673

12.015287

11.369979

1906.11489

Siddharth Dwivedi

Siddharth Dwivedi, Vivek Kumar Singh, P. Ramadevi, Yang Zhou, Saswati Dhara

Entanglement on multiple $S^2$ boundaries in Chern-Simons theory

62 pages, 20 figures. Four new references added. Matches with published version

JHEP 08 (2019) 034

10.1007/JHEP08(2019)034

CTP-SCU/2019010

hep-th cond-mat.mes-hall quant-ph

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

Topological entanglement structure amongst disjoint torus boundaries of three manifolds have already been studied within the context of Chern-Simons theory. In this work, we study the topological entanglement due to interaction between the quasiparticles inside three-manifolds with one or more disjoint $S^2$ boundaries in SU($N$) Chern-Simons theory. We focus on the world-lines of quasiparticles (Wilson lines), carrying SU($N$) representations, creating four punctures on every $S^2$. We compute the entanglement entropy by partial tracing some of the boundaries. In fact, the entanglement entropy depends on the SU($N$) representations on these four-punctured $S^2$ boundaries. Further, we observe interesting features on the GHZ-like and W-like entanglement structures. Such a distinction crucially depends on the multiplicity of the irreducible representations in the tensor product of SU($N$) representations.

[ { "created": "Thu, 27 Jun 2019 08:19:29 GMT", "version": "v1" }, { "created": "Wed, 7 Aug 2019 10:45:47 GMT", "version": "v2" } ]

2019-08-08

[ [ "Dwivedi", "Siddharth", "" ], [ "Singh", "Vivek Kumar", "" ], [ "Ramadevi", "P.", "" ], [ "Zhou", "Yang", "" ], [ "Dhara", "Saswati", "" ] ]

Topological entanglement structure amongst disjoint torus boundaries of three manifolds have already been studied within the context of Chern-Simons theory. In this work, we study the topological entanglement due to interaction between the quasiparticles inside three-manifolds with one or more disjoint $S^2$ boundaries in SU($N$) Chern-Simons theory. We focus on the world-lines of quasiparticles (Wilson lines), carrying SU($N$) representations, creating four punctures on every $S^2$. We compute the entanglement entropy by partial tracing some of the boundaries. In fact, the entanglement entropy depends on the SU($N$) representations on these four-punctured $S^2$ boundaries. Further, we observe interesting features on the GHZ-like and W-like entanglement structures. Such a distinction crucially depends on the multiplicity of the irreducible representations in the tensor product of SU($N$) representations.

8.138406

8.163615

8.689159

7.381329

8.397067

8.056935

8.154088

8.116552

7.904715

8.395247

7.731534

7.763529

7.609066

7.750231

7.559267

7.518681

7.561066

7.63343

7.650198

7.717997

7.806751

1703.05448

Andrew Strominger

Lectures on the Infrared Structure of Gravity and Gauge Theory

Revised version adds short section on IR divergences and corrects minor typos . To be published Princeon University Press

null

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

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

This is a redacted transcript of a course given by the author at Harvard in spring semester 2016. It contains a pedagogical overview of recent developments connecting the subjects of soft theorems, the memory effect and asymptotic symmetries in four-dimensional QED, nonabelian gauge theory and gravity with applications to black holes. The lectures may be viewed online at https://goo.gl/3DJdOr. Please send typos or corrections to strominger@physics.harvard.edu.

[ { "created": "Thu, 16 Mar 2017 01:26:29 GMT", "version": "v1" }, { "created": "Thu, 15 Feb 2018 15:52:51 GMT", "version": "v2" } ]

2018-02-16

[ [ "Strominger", "Andrew", "" ] ]

This is a redacted transcript of a course given by the author at Harvard in spring semester 2016. It contains a pedagogical overview of recent developments connecting the subjects of soft theorems, the memory effect and asymptotic symmetries in four-dimensional QED, nonabelian gauge theory and gravity with applications to black holes. The lectures may be viewed online at https://goo.gl/3DJdOr. Please send typos or corrections to strominger@physics.harvard.edu.

7.296665

8.573418

8.152194

7.774469

8.679069

8.660215

7.693087

7.758761

7.967361

9.188783

8.89456

7.111091

6.787159

6.496509

7.490744

7.272561

7.560163

6.901532

6.511073

7.69372

6.941486

hep-th/0103121

Shin-Ichiro Kuroki

Shin-Ichiro Kuroki, Keiichi Morikawa, Takuya Morozumi

Large-N_c meson theory

1+10 pages including 4 figures, Latex, style files psfig.sty and wrapft.sty

null

CERN-TH/2001-070, HUPD-0102

hep-th hep-ph

null

We derive an effective Lagrangian for meson fields. This is done in the light-cone gauge for two-dimensional large-N_c QCD by using the bilocal auxiliary field method. The auxiliary fields are bilocal on light-cone space and their Fourier transformation determines the parton momentum distribution. As the first test of our method, the 't Hooft equation is derived from the effective Lagrangian.

[ { "created": "Thu, 15 Mar 2001 17:23:36 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kuroki", "Shin-Ichiro", "" ], [ "Morikawa", "Keiichi", "" ], [ "Morozumi", "Takuya", "" ] ]

We derive an effective Lagrangian for meson fields. This is done in the light-cone gauge for two-dimensional large-N_c QCD by using the bilocal auxiliary field method. The auxiliary fields are bilocal on light-cone space and their Fourier transformation determines the parton momentum distribution. As the first test of our method, the 't Hooft equation is derived from the effective Lagrangian.

10.135782

8.303499

9.294021

8.368689

9.475454

8.602892

8.894727

8.827038

9.199257

9.784107

8.611403

9.071254

9.510584

8.792492

9.234224

9.034372

9.03453

8.85198

9.532644

8.834853

8.572027

0907.5327

Ashok Das

Ashok Das and J. Frenkel

Finite Temperature Effective Actions

5 pages, revtex, typos fixed, references added, to be published in Physics Letters B

null

10.1016/j.physletb.2009.08.054

null

hep-th

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

We present, from first principles, a direct method for evaluating the exact fermion propagator in the presence of a general background field at finite temperature, which can be used to determine the finite temperature effective action for the system. As applications, we determine the complete one loop finite temperature effective actions for 0+1 dimensional QED as well as the Schwinger model. These effective actions, which are derived in the real time (closed time path) formalism, generate systematically all the Feynman amplitudes calculated in thermal perturbation theory and also show that the retarded (advanced) amplitudes vanish in these theories.

[ { "created": "Thu, 30 Jul 2009 12:47:01 GMT", "version": "v1" }, { "created": "Thu, 27 Aug 2009 02:49:40 GMT", "version": "v2" } ]

2015-05-13

[ [ "Das", "Ashok", "" ], [ "Frenkel", "J.", "" ] ]

We present, from first principles, a direct method for evaluating the exact fermion propagator in the presence of a general background field at finite temperature, which can be used to determine the finite temperature effective action for the system. As applications, we determine the complete one loop finite temperature effective actions for 0+1 dimensional QED as well as the Schwinger model. These effective actions, which are derived in the real time (closed time path) formalism, generate systematically all the Feynman amplitudes calculated in thermal perturbation theory and also show that the retarded (advanced) amplitudes vanish in these theories.

8.225816

6.334903

8.223536

6.637699

7.906081

8.052202

7.582183

6.504518

7.051141

7.742861

7.169162

7.540355

7.99239

7.54632

8.03866

7.818745

7.739007

7.704304

7.494339

7.978843

7.642136

1807.05175

Yago Bea Besada

Maximilian Attems, Yago Bea, Jorge Casalderrey-Solana, David Mateos, Miquel Triana and Miguel Zilhao

Holographic Collisions across a Phase Transition

6 pages, 3 figures

Phys. Rev. Lett. 121, 261601 (2018)

10.1103/PhysRevLett.121.261601

ICCUB-18-013

hep-th hep-ph nucl-th

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

We use holography to analyse relativistic collisions in a one-parameter family of strongly coupled gauge theories with thermal phase transitions. For a critical value of the parameter the transition is second order, for subcritical values it is first order, and for super-critical values it is a smooth crossover. We extract the gauge theory stress tensor from collisions of gravitational shock waves on the dual geometries. Regardless of the nature of the transition, for values of the parameter close to the critical value almost all the energy of the projectiles is deposited into a long-lived, quasi-static blob of energy at mid-rapidity. This configuration is well described by the constitutive relations of second-order hydrodynamics that include all second-order gradients that are purely spatial in the local rest frame. In contrast, a M\"uller-Israel-Stewart-type formulation of hydrodynamics fails to provide a good description. We discuss possible implications for searches of the QCD critical point.

[ { "created": "Fri, 13 Jul 2018 16:50:17 GMT", "version": "v1" }, { "created": "Tue, 29 Jan 2019 13:56:16 GMT", "version": "v2" } ]

2019-01-30

[ [ "Attems", "Maximilian", "" ], [ "Bea", "Yago", "" ], [ "Casalderrey-Solana", "Jorge", "" ], [ "Mateos", "David", "" ], [ "Triana", "Miquel", "" ], [ "Zilhao", "Miguel", "" ] ]

We use holography to analyse relativistic collisions in a one-parameter family of strongly coupled gauge theories with thermal phase transitions. For a critical value of the parameter the transition is second order, for subcritical values it is first order, and for super-critical values it is a smooth crossover. We extract the gauge theory stress tensor from collisions of gravitational shock waves on the dual geometries. Regardless of the nature of the transition, for values of the parameter close to the critical value almost all the energy of the projectiles is deposited into a long-lived, quasi-static blob of energy at mid-rapidity. This configuration is well described by the constitutive relations of second-order hydrodynamics that include all second-order gradients that are purely spatial in the local rest frame. In contrast, a M\"uller-Israel-Stewart-type formulation of hydrodynamics fails to provide a good description. We discuss possible implications for searches of the QCD critical point.

8.786977

7.665419

8.684015

7.759572

8.559282

8.26813

8.096878

7.624141

7.380247

9.956237

7.933583

8.10563

8.286219

7.606168

7.965654

7.909674

8.064687

8.006494

7.726919

8.86476

7.603417

hep-th/9902207

Hanne Litschewsky

P.C. Stichel (Bielefeld, Germany)

Gauging of 1d-space translations for nonrelativistic point particles

10 pages, Latex

Phys.Lett. B456 (1999) 129-134

10.1016/S0370-2693(99)00494-3

BI-TP 99/5

hep-th gr-qc

null

Gauging of space translations for nonrelativistic point particles in one dimension leads to general coordinate transformations with fixed Newtonian time. The minimal gauge invariant extension of the particle velocity requires the introduction of two gauge fields whose minimal self interaction leads to a Maxwellian term in the Lagrangean. No dilaton field is introduced. We fix the gauge such that the residual symmetry group is the Galilei group. In case of a line the two-particle reduced Lagrangean describes the motion in a Newtonian gravitational potential with strength proportional to the energy. For particles on a circle with certain initial conditions we only have a collective rotation with constant angular velocity.

[ { "created": "Fri, 26 Feb 1999 15:33:57 GMT", "version": "v1" }, { "created": "Mon, 1 Mar 1999 16:24:37 GMT", "version": "v2" } ]

2009-10-31

[ [ "Stichel", "P. C.", "", "Bielefeld, Germany" ] ]

Gauging of space translations for nonrelativistic point particles in one dimension leads to general coordinate transformations with fixed Newtonian time. The minimal gauge invariant extension of the particle velocity requires the introduction of two gauge fields whose minimal self interaction leads to a Maxwellian term in the Lagrangean. No dilaton field is introduced. We fix the gauge such that the residual symmetry group is the Galilei group. In case of a line the two-particle reduced Lagrangean describes the motion in a Newtonian gravitational potential with strength proportional to the energy. For particles on a circle with certain initial conditions we only have a collective rotation with constant angular velocity.

16.385487

14.661486

16.66012

15.253027

17.346703

15.355427

15.590565

15.369234

13.105189

17.649725

13.881991

14.556931

14.732709

14.18467

14.474022

14.546207

14.417015

14.042952

14.088381

14.509782

13.876891

0712.4043

Shoichi Ichinose

Casimir and Vacuum Energy of 5D Warped System and Sphere Lattice Regularization

Proceedings of ICGA8, 4 pages, 3 figures

null

US-07-04

hep-th

null

We examine the Casimir energy of 5D electro-magnetism in the recent standpoint. Z$_2$ symmetry is taken into account. After confirming the consistency with the past result, we do new things based on a new regularization. The regularization is based on the minimal area principle and the regularized configuration is the {\it sphere lattice}. We do it not in the Kaluza-Klein expanded form but in the closed form. The formalism is based on the heat-kernel approach using the position/momentum propagator. A useful expression of the Casimir energy, in terms of the P/M propagator, is obtained. Renormalization flow is realized as the change along the extra-axis.

[ { "created": "Tue, 25 Dec 2007 02:02:25 GMT", "version": "v1" } ]

2007-12-27

[ [ "Ichinose", "Shoichi", "" ] ]

We examine the Casimir energy of 5D electro-magnetism in the recent standpoint. Z$_2$ symmetry is taken into account. After confirming the consistency with the past result, we do new things based on a new regularization. The regularization is based on the minimal area principle and the regularized configuration is the {\it sphere lattice}. We do it not in the Kaluza-Klein expanded form but in the closed form. The formalism is based on the heat-kernel approach using the position/momentum propagator. A useful expression of the Casimir energy, in terms of the P/M propagator, is obtained. Renormalization flow is realized as the change along the extra-axis.

21.832211

14.744417

19.773712

16.482903

14.831082

16.009634

13.531757

15.34526

15.882343

21.361937

16.537458

18.657501

18.884169

18.626936

18.329288

17.962614

19.080322

18.331093

18.538332

20.013935

18.969542

hep-th/0005108

Amit Ghosh

Saurya Das, Amit Ghosh and P. Mitra

Statistical Entropy of Schwarzschild Black Strings and Black Holes

8 pages, Latex

Phys.Rev. D63 (2001) 024023

10.1103/PhysRevD.63.024023

CGPG-00/5-1; SINP/TNP/00-11

hep-th gr-qc

null

The statistical entropy of a Schwarzschild black string in five dimensions is obtained by counting the black string states which form a representation of the near-horizon conformal symmetry with a central charge. The statistical entropy of the string agrees with its Bekenstein-Hawking entropy as well as that of the Schwarzschild black hole in four dimensions. The choice of the string length which gives the Virasoro algebra also reproduces the precise value of the Bekenstein-Hawking entropy and lies inside the stability bound of the string.

[ { "created": "Thu, 11 May 2000 20:23:34 GMT", "version": "v1" } ]

2009-10-31

[ [ "Das", "Saurya", "" ], [ "Ghosh", "Amit", "" ], [ "Mitra", "P.", "" ] ]

The statistical entropy of a Schwarzschild black string in five dimensions is obtained by counting the black string states which form a representation of the near-horizon conformal symmetry with a central charge. The statistical entropy of the string agrees with its Bekenstein-Hawking entropy as well as that of the Schwarzschild black hole in four dimensions. The choice of the string length which gives the Virasoro algebra also reproduces the precise value of the Bekenstein-Hawking entropy and lies inside the stability bound of the string.

6.762442

6.727592

6.082253

5.988928

6.187405

6.302668

6.321377

6.523941

6.09297

6.172252

5.943841

5.824163

6.372715

5.902217

5.916276

5.952027

6.079678

5.934629

6.166247

6.416236

6.298765

2302.03556

Nissan Itzhaki

Is the horizon of an eternal black hole really smooth?

null

10.1007/JHEP05(2023)157

null

hep-th

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

We point out that in many eternal black holes, including a Schwarzschild eternal black hole and an eternal black hole in $AdS_5$, instant folded strings are created in the past wedge and render the region just outside the horizon singular. We also make a conjecture regarding instant folded D-branes and discuss their possible implications for eternal black holes. In particular, we argue that the bulk modes responsible for Poincare recurrence, when it occurs in the dual quantum field theory, are either instant folded strings or instant folded D-branes.

[ { "created": "Tue, 7 Feb 2023 16:07:34 GMT", "version": "v1" }, { "created": "Thu, 16 Feb 2023 14:09:26 GMT", "version": "v2" } ]

2023-06-07

[ [ "Itzhaki", "Nissan", "" ] ]

We point out that in many eternal black holes, including a Schwarzschild eternal black hole and an eternal black hole in $AdS_5$, instant folded strings are created in the past wedge and render the region just outside the horizon singular. We also make a conjecture regarding instant folded D-branes and discuss their possible implications for eternal black holes. In particular, we argue that the bulk modes responsible for Poincare recurrence, when it occurs in the dual quantum field theory, are either instant folded strings or instant folded D-branes.

13.818424

12.418157

15.180047

12.071953

12.828031

11.067848

13.262563

12.323318

12.760611

15.380196

11.730721

12.848198

13.556291

12.516357

12.568246

12.785989

12.783117

12.549164

13.143539

13.024765

12.510592

hep-th/9204043

null

Toshio Nakatsu and Yuji Sugawara

BRST-Fixed Points and Topological Conformal Symmetry

11pages, LATEX file

Mod. Phys. Lett. A7 (1992) 2215

10.1142/S021773239200197X

null

hep-th

null

We study the twisted version of the supersymmetric $G/T=SU(n)/U(1)^{\otimes(n-1)} gauged Wess-Zumino-Witten model. By studying its fixed points under BRST transformation this model is shown to be reduced to a simple topological field theory, that is, the topological matter system in the K.Li's theory of 2 dimensional gravity for the case of $n=2$, and its generalization for $n \geq 3$.

[ { "created": "Wed, 15 Apr 1992 16:15:08 GMT", "version": "v1" } ]

2015-06-26

[ [ "Nakatsu", "Toshio", "" ], [ "Sugawara", "Yuji", "" ] ]

We study the twisted version of the supersymmetric $G/T=SU(n)/U(1)^{\otimes(n-1)} gauged Wess-Zumino-Witten model. By studying its fixed points under BRST transformation this model is shown to be reduced to a simple topological field theory, that is, the topological matter system in the K.Li's theory of 2 dimensional gravity for the case of $n=2$, and its generalization for $n \geq 3$.

11.2244

10.149796

11.818778

11.043626

12.56531

11.262351

11.22644

12.533421

10.777784

12.521253

11.712749

11.219154

11.15848

10.694247

11.143573

11.027528

11.004189

11.719045

10.67992

11.377758

10.738976

1910.10440

Sergei Kuzenko

Sergei M. Kuzenko and Michael Ponds

Spin projection operators in (A)dS and partial masslessness

12 pages, V2: references and comments added

null

10.1016/j.physletb.2019.135128

null

hep-th

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

We elaborate on the traceless and transverse spin projectors in four-dimensional de Sitter and anti-de Sitter spaces. The poles of these projectors are shown to correspond to partially massless fields. We also obtain a factorisation of the conformal operators associated with gauge fields of arbitrary Lorentz type $(m/2,n/2 )$, with $m$ and $n$ positive integers.

[ { "created": "Wed, 23 Oct 2019 10:04:04 GMT", "version": "v1" }, { "created": "Wed, 13 Nov 2019 12:43:11 GMT", "version": "v2" } ]

2020-01-08

[ [ "Kuzenko", "Sergei M.", "" ], [ "Ponds", "Michael", "" ] ]

We elaborate on the traceless and transverse spin projectors in four-dimensional de Sitter and anti-de Sitter spaces. The poles of these projectors are shown to correspond to partially massless fields. We also obtain a factorisation of the conformal operators associated with gauge fields of arbitrary Lorentz type $(m/2,n/2 )$, with $m$ and $n$ positive integers.

12.609715

8.978117

11.57109

9.959765

10.821241

11.148556

10.159076

10.877989

10.13584

13.663143

9.814179

10.987671

11.886178

10.903313

10.837504

10.272056

10.527081

11.049608

11.136179

11.491017

10.781785

hep-th/9210004

J. Goeree

F. A. Bais, T. Tjin, P. van Driel, J. de Boer and J. Goeree

W Algebras, W Gravities and their Moduli Spaces

8 pages, THU-92/26, ITFA-92/24

null

hep-th

null

By generalizing the Drinfel'd--Sokolov reduction we construct a large class of W algebras as reductions of Kac--Moody algebras. Furthermore we construct actions, invariant under local left and right W transformations, which are the classical covariant induced actions for W gravity. Talk presented by T. Tjin at the Trieste Summerschool on strings and related topics.

[ { "created": "Thu, 1 Oct 1992 14:40:25 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bais", "F. A.", "" ], [ "Tjin", "T.", "" ], [ "van Driel", "P.", "" ], [ "de Boer", "J.", "" ], [ "Goeree", "J.", "" ] ]

By generalizing the Drinfel'd--Sokolov reduction we construct a large class of W algebras as reductions of Kac--Moody algebras. Furthermore we construct actions, invariant under local left and right W transformations, which are the classical covariant induced actions for W gravity. Talk presented by T. Tjin at the Trieste Summerschool on strings and related topics.

19.724867

13.38783

19.245363

13.695325

13.844883

13.388011

15.247733

12.592118

13.141716

22.253271

12.733004

15.356759

16.903679

16.041796

16.400005

15.073869

14.922528

14.567711

15.753551

17.320274

15.420654

hep-th/0005264

Kurt Just

Kurt Just and Zbigniew Oziewicz and Erwin Sucipto

Recovery of Dirac Equations from Their Solutions

8 pages

Int.J.Theor.Phys.40:219-228,2001

10.1023/A:1003743613162

null

hep-th

null

We deal with quantum field theory in the restriction to external Bose fields. Let $(i\gamma^\mu\partial_\mu - \mathcal{B})\psi=0$ be the Dirac equation. We prove that a non-quantized Bose field $\mathcal{B}$ is a functional of the Dirac field $\psi$, whenever this $\psi$ is strictly canonical. Performing the trivial verification for the $\mathcal{B} := m = $ constant which yields the free Dirac field, we also prepare the tedious verifications for all $\mathcal{B}$ which are non-quantized and static. Such verifications must not be confused, however, with the easy and rigorous proof of our formula, which is shown in detail.

[ { "created": "Sat, 27 May 2000 19:09:05 GMT", "version": "v1" } ]

2011-04-15

[ [ "Just", "Kurt", "" ], [ "Oziewicz", "Zbigniew", "" ], [ "Sucipto", "Erwin", "" ] ]

We deal with quantum field theory in the restriction to external Bose fields. Let $(i\gamma^\mu\partial_\mu - \mathcal{B})\psi=0$ be the Dirac equation. We prove that a non-quantized Bose field $\mathcal{B}$ is a functional of the Dirac field $\psi$, whenever this $\psi$ is strictly canonical. Performing the trivial verification for the $\mathcal{B} := m = $ constant which yields the free Dirac field, we also prepare the tedious verifications for all $\mathcal{B}$ which are non-quantized and static. Such verifications must not be confused, however, with the easy and rigorous proof of our formula, which is shown in detail.

13.443747

14.527152

15.234749

13.535801

14.914176

16.00922

15.104511

14.246205

13.351243

15.977772

13.170586

13.669023

12.971318

13.157379

13.351227

13.261146

13.791639

13.515092

13.218128

13.208513

13.321799

0902.3358

Motomu Tsuda

Kazunari Shima and Motomu Tsuda

Particle astrophysics in nonlinear supersymmetric general relativity

12 pages, contribution to the proceedings of the 4th EU RTN Workshop, "Constituents, Fundamental Forces and Symmetries of the Universe", 11-17 September 2008, Varna, Burgalia

Fortsch.Phys.57:698-704,2009

10.1002/prop.200900037

null

hep-th gr-qc hep-ph

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

An explanation of relations between the large scale structure of the universe and the tiny scale structure of the particle physics, e.g. the observed mysterious relation between the (dark) energy density and the dark matter of the universe and the neutrino mass and the SUSY breaking mass scale of the particle physics may be given by the nonlinear supersymmmetric general relativity (NLSUSY GR). NLSUSY GR shows that studying the physics before/of the Big Bang of the universe may be significant and may give new insight to unsolved problems of the low energy particle physics, cosmology and their relations.

[ { "created": "Thu, 19 Feb 2009 12:33:46 GMT", "version": "v1" } ]

2009-08-03

[ [ "Shima", "Kazunari", "" ], [ "Tsuda", "Motomu", "" ] ]

An explanation of relations between the large scale structure of the universe and the tiny scale structure of the particle physics, e.g. the observed mysterious relation between the (dark) energy density and the dark matter of the universe and the neutrino mass and the SUSY breaking mass scale of the particle physics may be given by the nonlinear supersymmmetric general relativity (NLSUSY GR). NLSUSY GR shows that studying the physics before/of the Big Bang of the universe may be significant and may give new insight to unsolved problems of the low energy particle physics, cosmology and their relations.

11.447945

10.002824

11.431182

10.314613

10.663084

10.272468

10.888166

10.705503

10.117438

12.139897

10.815201

10.940736

11.096951

10.972171

11.277122

10.870025

11.10658

11.084255

11.091975

11.082982

10.802258

hep-th/9704044

Jacob Sonnenschein

A. Brandhuber, J. Sonnenschein, S. Theisen and S. Yankielowicz

Brane Configurations and 4D Field Theory Dualities

28 pages, 12 Postscript figures Includes corrections to section 6 and additional references

Nucl.Phys. B502 (1997) 125-148

10.1016/S0550-3213(97)00414-8

null

hep-th

null

We study brane configurations which correspond to field theories in four dimension with N=2 and N=1 supersymmetry. In particular we discuss brane motions that translate to Seiberg's duality in N=1 models recently studied by Elitzur, Giveon and Kutasov. We investigate, using the brane picture, the moduli spaces of the dual theories. Deformations of these models like mass terms and vacuum expectation values of scalar fields can be identified with positions of branes. The map of these deformations between the electric and dual magnetic theories is clarified. The models we study reproduce known field theory results and we provide an example of new dual pairs with N=1 supersymmetry. Possible relations between brane configurations and non-supersymmetric field theories are discussed.

[ { "created": "Sun, 6 Apr 1997 15:48:41 GMT", "version": "v1" }, { "created": "Sun, 13 Apr 1997 12:22:45 GMT", "version": "v2" } ]

2009-10-30

[ [ "Brandhuber", "A.", "" ], [ "Sonnenschein", "J.", "" ], [ "Theisen", "S.", "" ], [ "Yankielowicz", "S.", "" ] ]

We study brane configurations which correspond to field theories in four dimension with N=2 and N=1 supersymmetry. In particular we discuss brane motions that translate to Seiberg's duality in N=1 models recently studied by Elitzur, Giveon and Kutasov. We investigate, using the brane picture, the moduli spaces of the dual theories. Deformations of these models like mass terms and vacuum expectation values of scalar fields can be identified with positions of branes. The map of these deformations between the electric and dual magnetic theories is clarified. The models we study reproduce known field theory results and we provide an example of new dual pairs with N=1 supersymmetry. Possible relations between brane configurations and non-supersymmetric field theories are discussed.

7.135689

6.853059

8.684929

6.902771

7.365038

6.872413

7.249806

6.816298

6.95288

8.211802

6.8086

7.052957

7.829335

7.039008

7.137871

6.86673

6.997794

6.984546

7.155025

8.164965

6.926328

hep-th/0210187

Sohrab Rahvar

M.R. Setare

The Cardy-Verlinde formula and entropy of Topological Reissner-Nordstr\"om black holes in de Sitter spaces

6 pages, accepted for publication in IJMPA

Mod.Phys.Lett. A17 (2002) 2089-2094

10.1142/S0217732302008733

null

hep-th

null

In this paper we discuss the question of whether the entropy of cosmological horizon in Topological Reissner-Nordstr\"om- de Sitter spaces can be described by the Cardy-Verlinde formula, which is supposed to be an entropy formula of conformal field theory in any dimension. Furthermore, we find that the entropy of black hole horizon can also be rewritten in terms of the Cardy-Verlinde formula for these black holes in de Sitter spaces, if we use the definition due to Abbott and Deser for conserved charges in asymptotically de Sitter spaces. Our result is in favour of the dS/CFT correspondence.

[ { "created": "Sun, 20 Oct 2002 11:55:53 GMT", "version": "v1" } ]

2009-11-07

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

In this paper we discuss the question of whether the entropy of cosmological horizon in Topological Reissner-Nordstr\"om- de Sitter spaces can be described by the Cardy-Verlinde formula, which is supposed to be an entropy formula of conformal field theory in any dimension. Furthermore, we find that the entropy of black hole horizon can also be rewritten in terms of the Cardy-Verlinde formula for these black holes in de Sitter spaces, if we use the definition due to Abbott and Deser for conserved charges in asymptotically de Sitter spaces. Our result is in favour of the dS/CFT correspondence.

5.597707

4.102276

5.825555

4.391256

4.188392

3.953775

4.108734

4.384558

4.125471

5.971211

4.488428

5.004981

5.592685

5.061686

4.965712

4.879129

4.915082

4.794535

4.963844

5.373083

4.847976

0711.3404

Rafael Hernandez

Cesar Gomez, Johan Gunnesson, Rafael Hernandez

The Ising model and planar N=4 Yang-Mills

24 pages. v2: References added and minor typos corrected

J.Phys.A41:275205,2008

10.1088/1751-8113/41/27/275205

null

hep-th

null

The scattering-matrix for planar Yang-Mills with N=4 supersymmetry relies on the assumption that integrability holds to all orders in perturbation theory. In this note we define a map from the spectral variables x^{\pm}, parameterizing the long-range magnon momenta, to couplings in a two-dimensional Ising model. Under this map integrability of planar N=4 Yang-Mills becomes equivalent to the Yang-Baxter equation for the two-dimensional Ising model, and the long-range variables x^{\pm} translate into the entries of the Ising transfer matrices. We explore the Ising correlation length which equals the inverse magnon momentum in the small momentum limit. The critical regime is thus reached for vanishing magnon momentum. We also discuss the meaning of the Kramers-Wannier duality transformation on the gauge theory, together with that of the Ising model critical points.

[ { "created": "Wed, 21 Nov 2007 16:26:15 GMT", "version": "v1" }, { "created": "Wed, 5 Dec 2007 16:40:52 GMT", "version": "v2" } ]

2008-11-26

[ [ "Gomez", "Cesar", "" ], [ "Gunnesson", "Johan", "" ], [ "Hernandez", "Rafael", "" ] ]

The scattering-matrix for planar Yang-Mills with N=4 supersymmetry relies on the assumption that integrability holds to all orders in perturbation theory. In this note we define a map from the spectral variables x^{\pm}, parameterizing the long-range magnon momenta, to couplings in a two-dimensional Ising model. Under this map integrability of planar N=4 Yang-Mills becomes equivalent to the Yang-Baxter equation for the two-dimensional Ising model, and the long-range variables x^{\pm} translate into the entries of the Ising transfer matrices. We explore the Ising correlation length which equals the inverse magnon momentum in the small momentum limit. The critical regime is thus reached for vanishing magnon momentum. We also discuss the meaning of the Kramers-Wannier duality transformation on the gauge theory, together with that of the Ising model critical points.

9.697594

9.277762

10.114395

8.833964

9.309357

9.273666

9.321345

9.032774

9.175379

9.859006

8.933372

8.765027

9.434299

8.670928

9.037896

8.735202

8.802266

8.870331

8.559814

9.190133

8.587949

1710.06069

Jaemo Park

Hyungchul Kim, Sugjoon Kim and Jaemo Park

2D Seiberg-like dualities for orthogonal gauge groups

74 pages, analytic proof of equality of elliptic genus of simple dual pairs extended to simple cases of $SO(n), O_{\pm}(n)$ with $n=3,4$

null

hep-th

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

We consider the analogue of Seiberg duality for two-dimensional $N=(2,2)$ gauge theory with orthogonal gauge groups and with fundamental chiral multiplets proposed by Hori. Following Hori, when we consider $O(N)$ gauge group as the (semi)-direct product of $SO(N) \ltimes Z_2$, we have to consider two kinds of the theories $O(N)_{\pm}$ depending on the orbifold action of $Z_2$. We give the evidences for the proposed dualities by working out the elliptic genus of dual pair. The matching of the elliptic genus is worked out perfectly for the proposed dualities.

[ { "created": "Tue, 17 Oct 2017 03:04:31 GMT", "version": "v1" }, { "created": "Sat, 16 Jun 2018 08:16:57 GMT", "version": "v2" }, { "created": "Fri, 12 Apr 2019 10:36:09 GMT", "version": "v3" }, { "created": "Mon, 1 Jul 2019 02:59:41 GMT", "version": "v4" } ]

2019-07-02

[ [ "Kim", "Hyungchul", "" ], [ "Kim", "Sugjoon", "" ], [ "Park", "Jaemo", "" ] ]

We consider the analogue of Seiberg duality for two-dimensional $N=(2,2)$ gauge theory with orthogonal gauge groups and with fundamental chiral multiplets proposed by Hori. Following Hori, when we consider $O(N)$ gauge group as the (semi)-direct product of $SO(N) \ltimes Z_2$, we have to consider two kinds of the theories $O(N)_{\pm}$ depending on the orbifold action of $Z_2$. We give the evidences for the proposed dualities by working out the elliptic genus of dual pair. The matching of the elliptic genus is worked out perfectly for the proposed dualities.

8.571604

7.84732

9.810905

7.540585

8.876238

8.067033

8.387197

8.137488

8.007047

10.809091

7.84723

8.413158

9.289473

8.244297

8.367023

8.028527

8.097237

8.533553

8.289224

9.186024

8.232319

2305.10779

Machiko Fukada

Machiko Fukada and Akihiro Miyata

Mixed boundary conditions and Double-trace like deformations in Celestial holography and Wedge-like holography

No figure; v3: deleted section 3.4. v2: minor modifications, typos corrected, added appendix B

null

UT-Komaba/23-3

hep-th gr-qc quant-ph

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

According to the AdS/CFT dictionary, adding a relevant double-trace deformation $f\int O^2$ to a holographic CFT action is dual to imposing mixed Neumann/Dirichlet boundary conditions for the field dual to $O$ in AdS. We observed similar behaviour in codimension-two flat space holographies. We consider deformations of boundary conditions in flat spacetimes under flat space co-dimension-two holographies, celestial holography and Wedge-like holography. In the former celestial-holographic approach, we imposed boundary conditions on initial and final bulk states in the scattering. We find that these non-trivial boundary conditions in the bulk induce "double deformations" on the Celestial CFT side, which can be understood as an analogy of double trace deformations in the usual AdS/CFT. We compute two-point bulk scattering amplitudes under the non-trivial deformed boundary conditions. In the latter Wedge-like holography approach, we consider mixed Neumann/Dirichlet boundary conditions on the null infinity of the light-cone. We find that this mixing induces a renormalization flow in the dual Wedge CFT side under the Wedge holography, as in the usual AdS/CFT. We argue that the discrepancy between the Wedge two-point function and the Celestial two-point function originates from a sensitivity of bulk massless fields to a regularization parameter to use the usual AdS/CFT techniques.

[ { "created": "Thu, 18 May 2023 07:42:05 GMT", "version": "v1" }, { "created": "Mon, 20 Nov 2023 04:05:20 GMT", "version": "v2" }, { "created": "Fri, 26 Apr 2024 11:06:51 GMT", "version": "v3" } ]

2024-04-29

[ [ "Fukada", "Machiko", "" ], [ "Miyata", "Akihiro", "" ] ]

According to the AdS/CFT dictionary, adding a relevant double-trace deformation $f\int O^2$ to a holographic CFT action is dual to imposing mixed Neumann/Dirichlet boundary conditions for the field dual to $O$ in AdS. We observed similar behaviour in codimension-two flat space holographies. We consider deformations of boundary conditions in flat spacetimes under flat space co-dimension-two holographies, celestial holography and Wedge-like holography. In the former celestial-holographic approach, we imposed boundary conditions on initial and final bulk states in the scattering. We find that these non-trivial boundary conditions in the bulk induce "double deformations" on the Celestial CFT side, which can be understood as an analogy of double trace deformations in the usual AdS/CFT. We compute two-point bulk scattering amplitudes under the non-trivial deformed boundary conditions. In the latter Wedge-like holography approach, we consider mixed Neumann/Dirichlet boundary conditions on the null infinity of the light-cone. We find that this mixing induces a renormalization flow in the dual Wedge CFT side under the Wedge holography, as in the usual AdS/CFT. We argue that the discrepancy between the Wedge two-point function and the Celestial two-point function originates from a sensitivity of bulk massless fields to a regularization parameter to use the usual AdS/CFT techniques.

9.443697

9.50272

10.860904

9.095133

9.816632

10.014101

9.538521

10.366403

9.466614

11.24714

9.329545

9.416894

9.584107

9.320827

9.520193

9.3901

9.185432

9.52792

9.222

9.901618

9.123862

2308.11715

Andrew Fitzpatrick

Nathan Benjamin and A. Liam Fitzpatrick

Higher $d$ Eisenstein Series and a Duality-Invariant Distance Measure

22 pages, 3 figures; v2: revised and reorganized references

null

hep-th

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

The Petersson inner product is a natural inner product on the space of modular invariant functions. We derive a formula, written as a convergent sum over elementary functions, for the inner product $E_s(G,B)$ of the real analytic Eisenstein series $E_s(\tau, \bar{\tau})$ and a general point in Narain moduli space. We also discuss the utility of the Petersson inner product as a distance measure on the space of 2d CFTs, and apply our procedure to evaluate this distance in various examples.

[ { "created": "Tue, 22 Aug 2023 18:03:09 GMT", "version": "v1" }, { "created": "Fri, 15 Sep 2023 13:16:30 GMT", "version": "v2" } ]

2023-09-18

[ [ "Benjamin", "Nathan", "" ], [ "Fitzpatrick", "A. Liam", "" ] ]

The Petersson inner product is a natural inner product on the space of modular invariant functions. We derive a formula, written as a convergent sum over elementary functions, for the inner product $E_s(G,B)$ of the real analytic Eisenstein series $E_s(\tau, \bar{\tau})$ and a general point in Narain moduli space. We also discuss the utility of the Petersson inner product as a distance measure on the space of 2d CFTs, and apply our procedure to evaluate this distance in various examples.

11.404543

9.524198

10.582315

8.434772

9.82795

9.057721

9.329011

8.885645

8.751633

12.488496

8.846104

8.726985

10.536133

9.114332

9.413496

8.617077

8.451772

8.643925

8.511869

9.932481

8.704688

1310.8184

Delia Schwartz-Perlov

Phenomenology of the Watcher measure in the Bousso-Polchinski landscape

19 pages, 1 figure

null

hep-th

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

We investigate the phenomenology of the "Watcher" measure in the Bousso-Polchinski landscape. We study a small toy landscape analytically. The results are sufficient to allow us to extrapolate "watcher" phenomenology to much larger landscapes. We compare our results to other measures which have been applied to BP landscapes containing googles of vacua. Under certain well motivated conditions, watcher phenomenology coincides with the causal patch prescription, but not Linde's volume weighted measure.

[ { "created": "Wed, 30 Oct 2013 15:04:44 GMT", "version": "v1" } ]

2013-10-31

[ [ "Schwartz-Perlov", "Delia", "" ] ]

We investigate the phenomenology of the "Watcher" measure in the Bousso-Polchinski landscape. We study a small toy landscape analytically. The results are sufficient to allow us to extrapolate "watcher" phenomenology to much larger landscapes. We compare our results to other measures which have been applied to BP landscapes containing googles of vacua. Under certain well motivated conditions, watcher phenomenology coincides with the causal patch prescription, but not Linde's volume weighted measure.

20.805786

16.848001

22.523977

18.861752

21.174646

17.912298

17.598373

17.428526

16.518112

23.024614

19.386028

19.774384

21.02117

20.065226

19.142687

18.703928

20.805161

18.802444

20.631466

20.867657

19.238178

0808.1919

Ishwaree Neupane

Ishwaree P. Neupane and Naresh Dadhich

Entropy Bound and Causality Violation in Higher Curvature Gravity

23 pages, several eps figures; minor changes, references added, published version

Class.Quant.Grav.26:015013,2009

10.1088/0264-9381/26/1/015013

UoC-TP-009

hep-th gr-qc hep-ph

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

In any quantum theory of gravity we do expect corrections to Einstein gravity to occur. Yet, at fundamental level, it is not apparent what the most relevant corrections are. We argue that the generic curvature square corrections present in lower dimensional actions of various compactified string theories provide a natural passage between the classical and quantum realms of gravity. The Gauss-Bonnet and $({\rm Riemann})^2$ gravities, in particular, provide concrete examples in which inconsistency of a theory, such as, a violation of microcausality, and a classical limit on black hole entropy are correlated. In such theories the ratio of the shear viscosity to the entropy density, $\eta/s$, can be smaller than for a boundary conformal field theory with Einstein gravity dual. This result is interesting from the viewpoint that the nuclear matter or quark-gluon plasma produced (such as at RHIC) under extreme densities and temperatures may violate the conjectured bound $\eta/s\ge 1/4\pi$, {\it albeit} marginally so.

[ { "created": "Thu, 14 Aug 2008 19:52:49 GMT", "version": "v1" }, { "created": "Wed, 3 Sep 2008 01:46:33 GMT", "version": "v2" }, { "created": "Thu, 6 Nov 2008 02:39:54 GMT", "version": "v3" } ]

2011-02-09

[ [ "Neupane", "Ishwaree P.", "" ], [ "Dadhich", "Naresh", "" ] ]

In any quantum theory of gravity we do expect corrections to Einstein gravity to occur. Yet, at fundamental level, it is not apparent what the most relevant corrections are. We argue that the generic curvature square corrections present in lower dimensional actions of various compactified string theories provide a natural passage between the classical and quantum realms of gravity. The Gauss-Bonnet and $({\rm Riemann})^2$ gravities, in particular, provide concrete examples in which inconsistency of a theory, such as, a violation of microcausality, and a classical limit on black hole entropy are correlated. In such theories the ratio of the shear viscosity to the entropy density, $\eta/s$, can be smaller than for a boundary conformal field theory with Einstein gravity dual. This result is interesting from the viewpoint that the nuclear matter or quark-gluon plasma produced (such as at RHIC) under extreme densities and temperatures may violate the conjectured bound $\eta/s\ge 1/4\pi$, {\it albeit} marginally so.

11.306096

12.14358

11.124415

10.928243

11.001506

11.027044

10.522709

11.842674

10.961294

12.394785

10.676482

11.045627

11.137292

10.46471

10.7537

10.77297

10.380169

10.719713

10.636705

11.157142

11.048049

1307.6122

Gianluca Calcagni

Michele Arzano, Gianluca Calcagni

Black-hole entropy and minimal diffusion

5 pages, 1 figure. v2: physical interpretation of the results clarified

Phys. Rev. D 88, 084017 (2013)

10.1103/PhysRevD.88.084017

null

hep-th gr-qc

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

The density of states reproducing the Bekenstein-Hawking entropy-area scaling can be modeled via a nonlocal field theory. We define a diffusion process based on the kinematics of this theory and find a spectral dimension whose flow exhibits surprising properties. While it asymptotes four from above in the infrared, in the ultraviolet the spectral dimension diverges at a finite (Planckian) value of the diffusion length, signaling a breakdown of the notion of diffusion on a continuum spacetime below that scale. We comment on the implications of this minimal diffusion scale for the entropy bound in a holographic and field-theoretic context.

[ { "created": "Tue, 23 Jul 2013 15:26:14 GMT", "version": "v1" }, { "created": "Fri, 11 Oct 2013 21:40:14 GMT", "version": "v2" } ]

2013-10-15

[ [ "Arzano", "Michele", "" ], [ "Calcagni", "Gianluca", "" ] ]

The density of states reproducing the Bekenstein-Hawking entropy-area scaling can be modeled via a nonlocal field theory. We define a diffusion process based on the kinematics of this theory and find a spectral dimension whose flow exhibits surprising properties. While it asymptotes four from above in the infrared, in the ultraviolet the spectral dimension diverges at a finite (Planckian) value of the diffusion length, signaling a breakdown of the notion of diffusion on a continuum spacetime below that scale. We comment on the implications of this minimal diffusion scale for the entropy bound in a holographic and field-theoretic context.

12.803962

10.957936

12.333308

10.515358

10.958066

10.749555

12.092367

11.002417

10.446829

12.298495

11.695356

11.398983

11.824877

11.116133

10.554133

10.855369

11.483904

10.920166

11.270061

11.150805

10.984693

0906.0549

Alexander Andrianov A

Alexander A. Andrianov and Andrey V. Sokolov

Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics

null

Sigma.5:064,2009

10.3842/SIGMA.2009.064

null

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

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

When several inequivalent supercharges form a closed superalgebra in Quantum Mechanics it entails the appearance of hidden symmetries of a Super-Hamiltonian. We examine this problem in one-dimensional QM for the case of periodic potentials and potentials with finite number of bound states. After the survey of the results existing in the subject the algebraic and analytic properties of hidden-symmetry differential operators are rigorously elaborated in the Theorems and illuminated by several examples.

[ { "created": "Tue, 2 Jun 2009 17:47:47 GMT", "version": "v1" }, { "created": "Wed, 17 Jun 2009 05:11:05 GMT", "version": "v2" } ]

2009-09-10

[ [ "Andrianov", "Alexander A.", "" ], [ "Sokolov", "Andrey V.", "" ] ]

When several inequivalent supercharges form a closed superalgebra in Quantum Mechanics it entails the appearance of hidden symmetries of a Super-Hamiltonian. We examine this problem in one-dimensional QM for the case of periodic potentials and potentials with finite number of bound states. After the survey of the results existing in the subject the algebraic and analytic properties of hidden-symmetry differential operators are rigorously elaborated in the Theorems and illuminated by several examples.

17.840553

17.922316

19.258825

17.233315

16.89105

16.677626

17.009109

19.312817

16.883808

20.450771

16.535662

15.852956

16.44385

16.560074

16.926029

16.319553

16.767056

18.105818

16.092464

17.426519

17.188383

hep-th/0103138

Ian G. Moss

Antonino Flachi, Ian G. Moss and David J. Toms

Fermion vacuum energies in brane world models

6 pages, no figures, one correction

Phys.Lett.B518:153-156,2001

10.1016/S0370-2693(01)01050-4

null

hep-th

null

The fermion representations and boundary conditions in five dimensional anti de Sitter space are described in detail. In each case the one loop effective action is calculated for massless fermions. The possibility of topological or Wilson loop symmetry breaking is discussed.

[ { "created": "Sat, 17 Mar 2001 16:26:09 GMT", "version": "v1" }, { "created": "Sat, 5 May 2001 10:04:55 GMT", "version": "v2" } ]

2014-11-18

[ [ "Flachi", "Antonino", "" ], [ "Moss", "Ian G.", "" ], [ "Toms", "David J.", "" ] ]

The fermion representations and boundary conditions in five dimensional anti de Sitter space are described in detail. In each case the one loop effective action is calculated for massless fermions. The possibility of topological or Wilson loop symmetry breaking is discussed.

16.491903

14.317954

12.769509

12.70154

13.916006

12.077439

11.574494

14.281033

11.678832

11.406047

12.397004

13.103933

12.364264

11.856583

12.380031

12.621267

12.140043

13.223912

12.013716

12.920088

12.7714

1004.4744

Andrea Trombettoni

L. Lepori, G. Mussardo, and A. Trombettoni

(3+1) Massive Dirac Fermions with Ultracold Atoms in Optical Lattices

null

Europhysics Letters 92 50003 (2010)

10.1209/0295-5075/92/50003

null

hep-th cond-mat.quant-gas

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

We propose the experimental realization of (3+1) relativistic Dirac fermions using ultracold atoms in a rotating optical lattice or, alternatively, in a synthetic magnetic field. This approach has the advantage to give mass to the Dirac fermions by coupling the ultracold atoms to a Bragg pulse. A dimensional crossover from (3+1) to (2+1) Dirac fermions can be obtained by varying the anisotropy of the lattice. We also discuss under which conditions the interatomic potentials give rise to relativistically invariant interactions among the Dirac fermions.

[ { "created": "Tue, 27 Apr 2010 09:23:56 GMT", "version": "v1" } ]

2013-08-07

[ [ "Lepori", "L.", "" ], [ "Mussardo", "G.", "" ], [ "Trombettoni", "A.", "" ] ]

We propose the experimental realization of (3+1) relativistic Dirac fermions using ultracold atoms in a rotating optical lattice or, alternatively, in a synthetic magnetic field. This approach has the advantage to give mass to the Dirac fermions by coupling the ultracold atoms to a Bragg pulse. A dimensional crossover from (3+1) to (2+1) Dirac fermions can be obtained by varying the anisotropy of the lattice. We also discuss under which conditions the interatomic potentials give rise to relativistically invariant interactions among the Dirac fermions.

6.977719

7.844626

7.099263

7.22155

7.582244

7.46822

7.340244

7.499604

7.220288

6.736659

7.087047

6.488034

6.689647

6.690248

6.555524

6.880156

6.684545

6.695035

6.441815

6.583483

6.750426

1709.02390

Masaki Yamada

Yuichiro Nakai, Noburo Shiba, Masaki Yamada

Entanglement Entropy and Decoupling in the Universe

32 pages, 8 figures; v2: published version

Phys. Rev. D 96, 123518 (2017)

10.1103/PhysRevD.96.123518

null

hep-th astro-ph.CO hep-ph

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

In the expanding universe, two interacting fields are no longer in thermal contact when the interaction rate becomes smaller than the Hubble expansion rate. After decoupling, two subsystems are usually treated separately in accordance with equilibrium thermodynamics and the thermodynamic entropy gives a fiducial quantity conserved in each subsystem. In this paper, we discuss a correction to this paradigm from quantum entanglement of two coupled fields. The thermodynamic entropy is generalized to the entanglement entropy. We formulate a perturbation theory to derive the entanglement entropy and present Feynman rules in diagrammatic calculations. For specific models to illustrate our formulation, an interacting scalar-scalar system, quantum electrodynamics, and the Yukawa theory are considered. We calculate the entanglement entropy in these models and find a quantum correction to the thermodynamic entropy. The correction is revealed to be important in circumstances of instantaneous decoupling.

[ { "created": "Thu, 7 Sep 2017 18:00:01 GMT", "version": "v1" }, { "created": "Mon, 11 Dec 2017 19:56:34 GMT", "version": "v2" } ]

2017-12-20

[ [ "Nakai", "Yuichiro", "" ], [ "Shiba", "Noburo", "" ], [ "Yamada", "Masaki", "" ] ]

In the expanding universe, two interacting fields are no longer in thermal contact when the interaction rate becomes smaller than the Hubble expansion rate. After decoupling, two subsystems are usually treated separately in accordance with equilibrium thermodynamics and the thermodynamic entropy gives a fiducial quantity conserved in each subsystem. In this paper, we discuss a correction to this paradigm from quantum entanglement of two coupled fields. The thermodynamic entropy is generalized to the entanglement entropy. We formulate a perturbation theory to derive the entanglement entropy and present Feynman rules in diagrammatic calculations. For specific models to illustrate our formulation, an interacting scalar-scalar system, quantum electrodynamics, and the Yukawa theory are considered. We calculate the entanglement entropy in these models and find a quantum correction to the thermodynamic entropy. The correction is revealed to be important in circumstances of instantaneous decoupling.

9.4839

8.449962

8.566568

8.438782

8.615019

8.964869

9.313011

8.868865

8.496541

8.520199

8.904564

8.489944

8.744378

8.719398

8.549094

8.849745

8.738352

8.679873

8.727727

8.668775

8.779526

hep-th/9409171

Steven Kenneth Kauffmann

S. K. Kauffmann

Ultramicro Black Holes and Finiteness of the Electromagnetic Contribution to the Electron Mass

21 pages

null

hep-th gr-qc nucl-th

null

It is argued that the nonintegrably singular energy density of the electron's electromagnetic field (in both the classical point-charge model and quantum electrodynamics) must entail very strong self-gravitational effects, which, via black hole phenomena at finite radii, could well cut off the otherwise infinite electromagnetic contribution to the electron's mass. The general- relativistic equations for static, spherically symmetric stellar structure are specialized to treat the self-gravitational effects of static, spheri- cally symmetric, nonnegative, localized energy densities which may exhibit nonintegrable singularities at zero radius. It is demonstrated that in many situations, including the electromagnetic ones of interest here, such a system has a black hole whose Schwarzschild radius is that where the original energy per radial distance (the spherical shell area times the original energy density) reaches the inverse of (2G). The total mass of the system is that of this black hole (which follows in the usual way from its Schwarz- schild radius) plus the integrated original energy density outside this black hole. These results produce, for the classical point-charge model of the electron, an electrostatic contribution to its mass which is many orders of magnitude larger than its measured mass. For quantum electrodynamics, how- ever, the result is an electromagnetic mass contribution which is approxi- mately equal to its bare mass -- thus about half of its measured mass.

[ { "created": "Wed, 28 Sep 1994 08:13:08 GMT", "version": "v1" } ]

2009-09-25

[ [ "Kauffmann", "S. K.", "" ] ]

It is argued that the nonintegrably singular energy density of the electron's electromagnetic field (in both the classical point-charge model and quantum electrodynamics) must entail very strong self-gravitational effects, which, via black hole phenomena at finite radii, could well cut off the otherwise infinite electromagnetic contribution to the electron's mass. The general- relativistic equations for static, spherically symmetric stellar structure are specialized to treat the self-gravitational effects of static, spheri- cally symmetric, nonnegative, localized energy densities which may exhibit nonintegrable singularities at zero radius. It is demonstrated that in many situations, including the electromagnetic ones of interest here, such a system has a black hole whose Schwarzschild radius is that where the original energy per radial distance (the spherical shell area times the original energy density) reaches the inverse of (2G). The total mass of the system is that of this black hole (which follows in the usual way from its Schwarz- schild radius) plus the integrated original energy density outside this black hole. These results produce, for the classical point-charge model of the electron, an electrostatic contribution to its mass which is many orders of magnitude larger than its measured mass. For quantum electrodynamics, how- ever, the result is an electromagnetic mass contribution which is approxi- mately equal to its bare mass -- thus about half of its measured mass.

10.521718

12.652101

12.295133

10.98383

12.236295

12.731555

11.609101

11.662401

10.47483

12.055015

11.088273

10.795964

10.5058

10.264747

10.411436

10.542849

10.520388

10.575155

10.423986

10.799759

10.375463

1205.5040

Pavel Kovtun

Lectures on hydrodynamic fluctuations in relativistic theories

55 pages. Based on lectures given at the Seattle INT Summer School on Applications of String Theory in July 2011

J. Phys. A: Math. Theor. 45 (2012) 473001

10.1088/1751-8113/45/47/473001

null

hep-th

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

These are pedagogical lecture notes on hydrodynamic fluctuations in normal relativistic fluids. The lectures discuss correlation functions of conserved densities in thermal equilibrium, interactions of the hydrodynamic modes, an effective action for viscous fluids, and the breakdown of the derivative expansion in hydrodynamics.

[ { "created": "Tue, 22 May 2012 20:12:36 GMT", "version": "v1" } ]

2015-06-05

[ [ "Kovtun", "Pavel", "" ] ]

These are pedagogical lecture notes on hydrodynamic fluctuations in normal relativistic fluids. The lectures discuss correlation functions of conserved densities in thermal equilibrium, interactions of the hydrodynamic modes, an effective action for viscous fluids, and the breakdown of the derivative expansion in hydrodynamics.

14.032306

8.530506

12.076415

10.236758

10.286811

9.994316

10.2325

9.719034

9.60413

10.376646

9.130423

10.042745

11.06901

10.09333

10.204507

9.933234

10.301473

10.674187

9.550315

10.479218

9.718098

1211.3730

Clay C\'ordova

Clay Cordova, Sam Espahbodi, Babak Haghighat, Ashwin Rastogi, Cumrun Vafa

Tangles, Generalized Reidemeister Moves, and Three-Dimensional Mirror Symmetry

80 pages, 48 figures

null

hep-th math.GT

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

Three-dimensional N=2 superconformal field theories are constructed by compactifying M5-branes on three-manifolds. In the infrared the branes recombine, and the physics is captured by a single M5-brane on a branched cover of the original ultraviolet geometry. The branch locus is a tangle, a one-dimensional knotted submanifold of the ultraviolet geometry. A choice of branch sheet for this cover yields a Lagrangian for the theory, and varying the branch sheet provides dual descriptions. Massless matter arises from vanishing size M2-branes and appears as singularities of the tangle where branch lines collide. Massive deformations of the field theory correspond to resolutions of singularities resulting in distinct smooth manifolds connected by geometric transitions. A generalization of Reidemeister moves for singular tangles captures mirror symmetries of the underlying theory yielding a geometric framework where dualities are manifest.

[ { "created": "Thu, 15 Nov 2012 20:46:52 GMT", "version": "v1" } ]

2012-11-16

[ [ "Cordova", "Clay", "" ], [ "Espahbodi", "Sam", "" ], [ "Haghighat", "Babak", "" ], [ "Rastogi", "Ashwin", "" ], [ "Vafa", "Cumrun", "" ] ]

Three-dimensional N=2 superconformal field theories are constructed by compactifying M5-branes on three-manifolds. In the infrared the branes recombine, and the physics is captured by a single M5-brane on a branched cover of the original ultraviolet geometry. The branch locus is a tangle, a one-dimensional knotted submanifold of the ultraviolet geometry. A choice of branch sheet for this cover yields a Lagrangian for the theory, and varying the branch sheet provides dual descriptions. Massless matter arises from vanishing size M2-branes and appears as singularities of the tangle where branch lines collide. Massive deformations of the field theory correspond to resolutions of singularities resulting in distinct smooth manifolds connected by geometric transitions. A generalization of Reidemeister moves for singular tangles captures mirror symmetries of the underlying theory yielding a geometric framework where dualities are manifest.

10.419223

11.68636

13.917343

10.382099

11.865301

10.964799

10.81321

10.702827

11.002836

16.131981

10.543019

10.423388

11.026697

10.270229

10.640114

10.372434

10.900883

10.154148

10.097235

11.69269

10.121627

hep-th/0501230

Zurab Ratiani

The conformally invariant vector field on $R \times S^3$

50 pages, Diploma thesis

null

hep-th

null

In this diploma thesis vector field is constructed on $R \times S^3$. The free lagrangian on the curved space is invariant under conformal transformations of the dynamical field $A_m(x)$. The gauge fixing term is not conformally invariant, but it is invariant under Poincare transformations of the fields $A_m(x)$. Propagator quantisation is carried out. The energy spectrum of the physical subspace is analogous to the spectrum of flat quantum field theory.

[ { "created": "Fri, 28 Jan 2005 19:19:50 GMT", "version": "v1" } ]

2007-05-23

[ [ "Ratiani", "Zurab", "" ] ]

In this diploma thesis vector field is constructed on $R \times S^3$. The free lagrangian on the curved space is invariant under conformal transformations of the dynamical field $A_m(x)$. The gauge fixing term is not conformally invariant, but it is invariant under Poincare transformations of the fields $A_m(x)$. Propagator quantisation is carried out. The energy spectrum of the physical subspace is analogous to the spectrum of flat quantum field theory.

13.61233

12.003365

11.642813

10.416466

10.8507

10.764815

11.060318

11.289172

10.561159

10.28222

10.430647

10.418543

10.89032

10.226418

10.079993

9.988262

10.409227

10.404044

10.226671

11.057204

10.035026

hep-th/0209019

Carlos M. Naon

An\'ibal Iucci and Carlos M. Na\'on

Improved harmonic approximation and the 2D Ising model at $T\neq T_{c}$ and $h\neq0$

11 pages, Latex, 3 figures. Accepted for publication in Journal of Physics A

J.Phys.A35:8005-8012,2002

10.1088/0305-4470/35/38/304

La Plata Th 02-03

hep-th cond-mat

null

We propose a new method to determine the unknown parameter associated to a self-consistent harmonic approximation. We check the validity of our technique in the context of the sine-Gordon model. As a non trivial application we consider the scaling regime of the 2D Ising model away from the critical point and in the presence of a magnetic field $h$. We derive an expression that relates the approximate correlation length $\xi$, $T-T_c$ and $h$.

[ { "created": "Mon, 2 Sep 2002 15:57:43 GMT", "version": "v1" } ]

2016-08-16

[ [ "Iucci", "Aníbal", "" ], [ "Naón", "Carlos M.", "" ] ]

We propose a new method to determine the unknown parameter associated to a self-consistent harmonic approximation. We check the validity of our technique in the context of the sine-Gordon model. As a non trivial application we consider the scaling regime of the 2D Ising model away from the critical point and in the presence of a magnetic field $h$. We derive an expression that relates the approximate correlation length $\xi$, $T-T_c$ and $h$.

9.30668

8.188933

9.045543

8.101043

8.490519

8.457813

8.049872

8.083178

7.779464

8.93251

8.130117

8.507624

8.860635

8.524183

8.695187

8.762072

8.49704

8.644972

8.558588

8.735158

8.391207

1903.05890

Dibakar Roychowdhury

Probing tachyon kinks in Newton-Cartan background

typos fixed, version to appear in PLB

Phys.Lett. B795(2019)225-229

10.1016/j.physletb.2019.06.031

null

hep-th

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

In this paper, we perform a systematic analysis of tachyon condensation over string Newton-Cartan (NC) geometry by probing the background with non BPS $ Dp $ brane. We construct the \textit{finite} tachyon effective action for NC geometry and explore the dynamics associated with the tachyon kink on the world-volume of the non BPS $ Dp $ brane. We show that under certain specific assumptions, the spatial dependent tachyon condensation leads to an emerging BPS $ D(p-1) $ brane dynamics over NC background. We further compute the strees energy tensor and show the equivalence between two different $ Dp $ brane configurations in the NC limit.

[ { "created": "Thu, 14 Mar 2019 10:06:02 GMT", "version": "v1" }, { "created": "Sat, 15 Jun 2019 05:18:07 GMT", "version": "v2" } ]

2019-06-27

[ [ "Roychowdhury", "Dibakar", "" ] ]

In this paper, we perform a systematic analysis of tachyon condensation over string Newton-Cartan (NC) geometry by probing the background with non BPS $ Dp $ brane. We construct the \textit{finite} tachyon effective action for NC geometry and explore the dynamics associated with the tachyon kink on the world-volume of the non BPS $ Dp $ brane. We show that under certain specific assumptions, the spatial dependent tachyon condensation leads to an emerging BPS $ D(p-1) $ brane dynamics over NC background. We further compute the strees energy tensor and show the equivalence between two different $ Dp $ brane configurations in the NC limit.

8.989984

8.131721

11.20226

8.091548

8.06389

7.462757

7.548555

8.781054

7.997689

10.707266

7.955682

8.153238

9.600782

8.323394

8.159931

8.396873

8.235929

8.379176

8.223458

9.202456

8.016965

1306.5743

Kurt Hinterbichler

Melinda Andrews, Kurt Hinterbichler, James Stokes, Mark Trodden

Cosmological perturbations of massive gravity coupled to DBI Galileons

9 pages. Invited for the Classical and Quantum Gravity focus issue on massive gravity. v3 mini-superspace expressions for the higher galileons corrected

Class. Quantum Grav. 30 184006 (2013)

10.1088/0264-9381/30/18/184006

null

hep-th astro-ph.CO

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

Certain scalar fields with higher derivative interactions and novel classical and quantum mechanical properties - the Galileons - can be naturally covariantized by coupling to nonlinear massive gravity in such a way that their symmetries and number of degrees of freedom are unchanged. We study the propagating degrees of freedom in these models around cosmologically interesting backgrounds. We identify the conditions necessary for such a theory to remain ghost free, and consider when tachyonic instabilities can be avoided. We show that on the self-accelerating branch of solutions, the kinetic terms for the vector and scalar modes of the massive graviton vanish, as in the case of pure massive gravity.

[ { "created": "Mon, 24 Jun 2013 20:00:00 GMT", "version": "v1" }, { "created": "Tue, 10 Sep 2013 19:30:18 GMT", "version": "v2" }, { "created": "Mon, 16 Dec 2013 20:32:55 GMT", "version": "v3" } ]

2013-12-17

[ [ "Andrews", "Melinda", "" ], [ "Hinterbichler", "Kurt", "" ], [ "Stokes", "James", "" ], [ "Trodden", "Mark", "" ] ]

Certain scalar fields with higher derivative interactions and novel classical and quantum mechanical properties - the Galileons - can be naturally covariantized by coupling to nonlinear massive gravity in such a way that their symmetries and number of degrees of freedom are unchanged. We study the propagating degrees of freedom in these models around cosmologically interesting backgrounds. We identify the conditions necessary for such a theory to remain ghost free, and consider when tachyonic instabilities can be avoided. We show that on the self-accelerating branch of solutions, the kinetic terms for the vector and scalar modes of the massive graviton vanish, as in the case of pure massive gravity.

9.272999

8.005966

9.562687

8.778052

9.146832

9.252188

8.782372

8.627378

8.42802

10.58963

8.602211

9.036695

9.271345

8.720984

9.132569

9.14283

8.894176

8.998747

8.991473

9.158617

9.084682

1107.3096

Jishnu Bhattacharyya

Per Berglund, Jishnu Bhattacharyya, David Mattingly

Charged Dilatonic AdS Black Branes in Arbitrary Dimensions

References updated

null

10.1007/JHEP08(2012)042

null

hep-th gr-qc

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

We study electromagnetically charged dilatonic black brane solutions in arbitrary dimensions with flat transverse spaces, that are asymptotically AdS. This class of solutions includes spacetimes which possess a bulk region where the metric is approximately invariant under Lifshitz scalings. Given fixed asymptotic boundary conditions, we analyze how the behavior of the bulk up to the horizon varies with the charges and derive the extremality conditions for these spacetimes.

[ { "created": "Fri, 15 Jul 2011 16:00:26 GMT", "version": "v1" }, { "created": "Wed, 17 Oct 2012 20:17:05 GMT", "version": "v2" } ]

2015-05-28

[ [ "Berglund", "Per", "" ], [ "Bhattacharyya", "Jishnu", "" ], [ "Mattingly", "David", "" ] ]

We study electromagnetically charged dilatonic black brane solutions in arbitrary dimensions with flat transverse spaces, that are asymptotically AdS. This class of solutions includes spacetimes which possess a bulk region where the metric is approximately invariant under Lifshitz scalings. Given fixed asymptotic boundary conditions, we analyze how the behavior of the bulk up to the horizon varies with the charges and derive the extremality conditions for these spacetimes.

11.202566

10.758468

12.969862

10.284355

11.390154

11.145816

9.573895

10.646074

9.279574

11.962613

9.666928

9.80948

11.037015

10.09419

10.239778

9.746503

10.153354

10.092175

10.024507

10.427056

9.756233

hep-th/0306295

Pedro J. Silva

Luca Martucci and Pedro J. Silva

Kinky D-branes and straight strings of open string tachyon effective theory

10 pages, latex, typos corrected and references added

JHEP 0308:026,2003

10.1088/1126-6708/2003/08/026

IFUM-762-FT

hep-th

null

In this letter we construct the kink D1-brane super D-helix solution and its T-dual the D2-brane supertube using the effective action of non-BPS tachyonic D-branes . In the limit of zero angular momentum, both types of solutions collapse to zero radius, giving rise respectively to a degenerate string configuration corresponding to a particle travelling with the speed of light and to a static straight string configuration. These solutions share all the properties of fundamental strings and do not have the pathological behavior of other solutions previously found in this context. A short discussion on the ``generalized gauge transformations'' suggested by Sen is used to justify the validity of our approach.

[ { "created": "Mon, 30 Jun 2003 15:10:05 GMT", "version": "v1" }, { "created": "Tue, 15 Jul 2003 15:34:03 GMT", "version": "v2" } ]

2014-11-18

[ [ "Martucci", "Luca", "" ], [ "Silva", "Pedro J.", "" ] ]

In this letter we construct the kink D1-brane super D-helix solution and its T-dual the D2-brane supertube using the effective action of non-BPS tachyonic D-branes . In the limit of zero angular momentum, both types of solutions collapse to zero radius, giving rise respectively to a degenerate string configuration corresponding to a particle travelling with the speed of light and to a static straight string configuration. These solutions share all the properties of fundamental strings and do not have the pathological behavior of other solutions previously found in this context. A short discussion on the ``generalized gauge transformations'' suggested by Sen is used to justify the validity of our approach.

17.20805

16.004782

17.609226

14.973706

16.414566

14.350307

15.571037

16.353371

14.637948

18.938505

14.572894

16.054127

16.435278

15.595291

15.792916

15.353354

16.035133

15.274792

15.734303

16.190109

15.005495

2005.06440

Felix Haehl

Tarek Anous and Felix M. Haehl

On the Virasoro six-point identity block and chaos

29 pages, 5 figures, v2 minor typos fixed, including corrected factors in the definition of $\tilde{T}$. Discussion on the symmetries of the blocks were updated. v3: typos fixed

null

10.1007/JHEP08(2020)002

null

hep-th cond-mat.str-el nlin.CD

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

We study six-point correlation functions in two dimensional conformal field theory, where the six operators are grouped in pairs with equal conformal dimension. Assuming large central charge $c$ and a sparse spectrum, the leading contribution to this correlation function is the six-point Virasoro identity block - corresponding to each distinct pair of operators fusing into the identity and its descendants. We call this the star channel. One particular term in the star channel identity block is the stress tensor $SL(2,\mathbb{R})$ (global) block, for which we derive an explicit expression. In the holographic context, this object corresponds to a direct measure of nonlinear effects in pure gravity. We calculate additional terms in the star channel identity block that contribute at the same order at large $c$ as the global block using the novel theory of reparametrizations, which extends the shadow operator formalism in a natural way. We investigate these blocks' relevance to quantum chaos in the form of six-point scrambling in an out-of time ordered correlator. Interestingly, the global block does not contribute to the scrambling mode of this correlator, implying that, to leading order, six-point scrambling is insensitive to the three-point graviton coupling in the bulk dual. Finally, we compare our findings with a different OPE channel, called the comb channel, and find the same result for the chaos exponent in this decomposition.

[ { "created": "Wed, 13 May 2020 17:28:41 GMT", "version": "v1" }, { "created": "Sun, 31 May 2020 12:06:41 GMT", "version": "v2" }, { "created": "Tue, 4 Jan 2022 15:06:53 GMT", "version": "v3" } ]

2022-01-05

[ [ "Anous", "Tarek", "" ], [ "Haehl", "Felix M.", "" ] ]

We study six-point correlation functions in two dimensional conformal field theory, where the six operators are grouped in pairs with equal conformal dimension. Assuming large central charge $c$ and a sparse spectrum, the leading contribution to this correlation function is the six-point Virasoro identity block - corresponding to each distinct pair of operators fusing into the identity and its descendants. We call this the star channel. One particular term in the star channel identity block is the stress tensor $SL(2,\mathbb{R})$ (global) block, for which we derive an explicit expression. In the holographic context, this object corresponds to a direct measure of nonlinear effects in pure gravity. We calculate additional terms in the star channel identity block that contribute at the same order at large $c$ as the global block using the novel theory of reparametrizations, which extends the shadow operator formalism in a natural way. We investigate these blocks' relevance to quantum chaos in the form of six-point scrambling in an out-of time ordered correlator. Interestingly, the global block does not contribute to the scrambling mode of this correlator, implying that, to leading order, six-point scrambling is insensitive to the three-point graviton coupling in the bulk dual. Finally, we compare our findings with a different OPE channel, called the comb channel, and find the same result for the chaos exponent in this decomposition.

11.077187

11.644859

12.35567

11.113326

12.140162

12.465773

11.686395

11.119647

11.232259

12.833653

10.882998

11.11069

11.61301

10.953914

10.870156

11.095313

11.023078

10.999788

10.661274

11.471636

10.936182

hep-th/9608110

Robert Marnelius

Time evolution in general gauge theories defined on inner product spaces

12 pages,latexfile

Nucl.Phys. B494 (1997) 346-364

10.1016/S0550-3213(97)00169-7

ITP-G\"oteborg 96-12

hep-th

null

As previously shown BRST singlets |s> in a BRST quantization of general gauge theories on inner product spaces may be represented in the form |s>=e^{[Q, \psi]} |\phi> where |\phi> is either a trivially BRST invariant state which only depends on the matter variables, or a solution of a Dirac quantization. \psi is a corresponding fermionic gauge fixing operator. In this paper it is shown that the time evolution is determined by the singlet states of the corresponding reparametrization invariant theory. The general case when the constraints and Hamiltonians may have explicit time dependence is treated.

[ { "created": "Fri, 16 Aug 1996 07:48:13 GMT", "version": "v1" } ]

2009-10-30

[ [ "Marnelius", "Robert", "" ] ]

As previously shown BRST singlets |s> in a BRST quantization of general gauge theories on inner product spaces may be represented in the form |s>=e^{[Q, \psi]} |\phi> where |\phi> is either a trivially BRST invariant state which only depends on the matter variables, or a solution of a Dirac quantization. \psi is a corresponding fermionic gauge fixing operator. In this paper it is shown that the time evolution is determined by the singlet states of the corresponding reparametrization invariant theory. The general case when the constraints and Hamiltonians may have explicit time dependence is treated.

14.08233

10.273335

14.25493

11.074224

13.104774

11.667939

10.8465

10.34551

10.370914

16.609243

11.404868

11.446888

13.144721

12.447096

11.972939

12.221075

11.38283

12.144501

12.224744

13.7406

12.097402

0706.0532

Washington Chagas-Filho

W. Chagas-Filho

2T Physics, Scale Invariance and Topological Vector Fields

Accepted for publication in International Journal of Theoretical Physics

null

10.1007/s10773-007-9598-5

null

hep-th

null

We construct, in classical two-time physics, the necessary structure for the most general configuration space formulation of quantum mechanics containing gravity in d+2 dimensions. This structure is composed of a symmetric Riemannian metric tensor and of a vector field that defines a section of a flat U(1) bundle over space-time. This construction is possible because of the existence of a finite local scale invariance of the Hamiltonian and because two-time physics contains, at the classical level, a local generalization of the discrete duality symmetry between position and momentum that underlies the structure of quantum mechanics.

[ { "created": "Mon, 4 Jun 2007 20:40:20 GMT", "version": "v1" }, { "created": "Thu, 16 Aug 2007 19:35:11 GMT", "version": "v2" }, { "created": "Thu, 22 Nov 2007 10:30:44 GMT", "version": "v3" } ]

2009-11-13

[ [ "Chagas-Filho", "W.", "" ] ]

We construct, in classical two-time physics, the necessary structure for the most general configuration space formulation of quantum mechanics containing gravity in d+2 dimensions. This structure is composed of a symmetric Riemannian metric tensor and of a vector field that defines a section of a flat U(1) bundle over space-time. This construction is possible because of the existence of a finite local scale invariance of the Hamiltonian and because two-time physics contains, at the classical level, a local generalization of the discrete duality symmetry between position and momentum that underlies the structure of quantum mechanics.

10.58248

9.880849

10.333343

9.304499

10.227561

10.175435

10.23431

9.88058

10.204814

11.730864

9.358772

9.784191

9.976865

9.834115

9.669641

9.758194

9.400908

9.829046

9.874292

10.588059

9.651275

1412.5680

Saran Tunyasuvunakool

Pau Figueras and Saran Tunyasuvunakool

Black rings in global anti-de Sitter space

26 pages, 10 figures

JHEP 1503 (2015) 149

10.1007/JHEP03(2015)149

null

hep-th gr-qc

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

We construct five dimensional black rings in global anti-de Sitter space using numerical methods. These rings satisfy the BPS bound $| J | < M \ell$, but the angular velocity always violates the Hawking-Reall bound $| \Omega_H \ell | \leq 1$, indicating that they should be unstable under superradiance. At high temperatures, the limit $| \Omega_H \ell | \searrow 1$ is attained by thin rings with an arbitrarily large radius. However, at sufficiently low temperatures, this limit is saturated by a new kind of rings, whose outer circle can still be arbitrarily long while the hole in the middle does not grow proportionally. This gives rise to a membrane-like horizon geometry, which does not have an asymptotically flat counterpart. We find no evidence for thin AdS black rings whose transverse $S^2$ is much larger than the radius of AdS, $\ell$, and thus these solutions never fall into the hydrodynamic regime of the dual CFT. Thermodynamically, we find that AdS black rings never dominate the grand canonical ensemble. The behaviour of our solutions in the microcanonical ensemble approaches known perturbative results in the thin-ring limit.

[ { "created": "Wed, 17 Dec 2014 23:50:32 GMT", "version": "v1" } ]

2016-02-12

[ [ "Figueras", "Pau", "" ], [ "Tunyasuvunakool", "Saran", "" ] ]

We construct five dimensional black rings in global anti-de Sitter space using numerical methods. These rings satisfy the BPS bound $| J | < M \ell$, but the angular velocity always violates the Hawking-Reall bound $| \Omega_H \ell | \leq 1$, indicating that they should be unstable under superradiance. At high temperatures, the limit $| \Omega_H \ell | \searrow 1$ is attained by thin rings with an arbitrarily large radius. However, at sufficiently low temperatures, this limit is saturated by a new kind of rings, whose outer circle can still be arbitrarily long while the hole in the middle does not grow proportionally. This gives rise to a membrane-like horizon geometry, which does not have an asymptotically flat counterpart. We find no evidence for thin AdS black rings whose transverse $S^2$ is much larger than the radius of AdS, $\ell$, and thus these solutions never fall into the hydrodynamic regime of the dual CFT. Thermodynamically, we find that AdS black rings never dominate the grand canonical ensemble. The behaviour of our solutions in the microcanonical ensemble approaches known perturbative results in the thin-ring limit.

9.941862

11.640609

10.430216

9.571011

11.144877

10.692916

10.362227

9.987541

9.777461

11.544801

9.530344

9.817133

9.998876

9.466267

9.203631

9.299099

9.566965

9.530292

9.648117

9.814095

9.390762

hep-th/9605207

Naoki Taninura

Taro Kashiwa and Naoki Tanimura (Department of Physics, Kyushu University)

Physical States and Gauge Independence of the Energy-Momentum Tensor in Quantum Electrodynamics

36 pages, 17 figures, LaTeX, uses epsf.tex for figures

null

10.1002/prop.2190450503

KYUSHU-HET-31

hep-th

null

Discussions are made on the relationship between physical states and gauge independence in QED. As the first candidate take the LSZ-asymptotic states in a covariant canonical formalism to investigate gauge independence of the (Belinfante's) symmetric energy-momentum tensor. It is shown that expectation values of the energy-momentum tensor in terms of those asymptotic states are gauge independent to all orders. Second, consider gauge invariant operators of electron or photon, such as the Dirac's electron or Steinmann's covariant approach, expecting a gauge invariant result without any restriction. It is, however, demonstrated that to single out gauge invariant quantities is merely synonymous to a gauge fixing, resulting again in use of the asymptotic condition when proving gauge independence. Nevertheless, it is commented that these invariant approaches is helpful to understand the mechanism of the LSZ-mapping and furthermore of quark confinement in QCD. As the final candidate, it is shown that gauge transformations are freely performed under the functional representation or the path integral expression on account of the fact that the functional space is equivalent to a collection of infinitely many inequivalent Fock spaces. The covariant LSZ formalism is shortly reviewed and the basic facts on the energy-momentum tensor are also illustrated.

[ { "created": "Wed, 29 May 1996 11:28:41 GMT", "version": "v1" } ]

2009-10-30

[ [ "Kashiwa", "Taro", "", "Department of Physics, Kyushu\n University" ], [ "Tanimura", "Naoki", "", "Department of Physics, Kyushu\n University" ] ]

Discussions are made on the relationship between physical states and gauge independence in QED. As the first candidate take the LSZ-asymptotic states in a covariant canonical formalism to investigate gauge independence of the (Belinfante's) symmetric energy-momentum tensor. It is shown that expectation values of the energy-momentum tensor in terms of those asymptotic states are gauge independent to all orders. Second, consider gauge invariant operators of electron or photon, such as the Dirac's electron or Steinmann's covariant approach, expecting a gauge invariant result without any restriction. It is, however, demonstrated that to single out gauge invariant quantities is merely synonymous to a gauge fixing, resulting again in use of the asymptotic condition when proving gauge independence. Nevertheless, it is commented that these invariant approaches is helpful to understand the mechanism of the LSZ-mapping and furthermore of quark confinement in QCD. As the final candidate, it is shown that gauge transformations are freely performed under the functional representation or the path integral expression on account of the fact that the functional space is equivalent to a collection of infinitely many inequivalent Fock spaces. The covariant LSZ formalism is shortly reviewed and the basic facts on the energy-momentum tensor are also illustrated.

16.703358

19.300549

16.167816

16.423485

19.250214

18.625156

19.009853

16.982513

17.578302

19.765018

17.505251

16.681158

16.419737

16.479237

16.911924

16.565208

16.91308

16.295403

16.360273

16.13262

16.682837

1105.1547

Toshiaki Fujimori

Minoru Eto, Toshiaki Fujimori, Muneto Nitta, Keisuke Ohashi, Norisuke Sakai

Dynamics of Non-Abelian Vortices

45 pages, 13 figures

Phys.Rev.D 84:125030,2011

10.1103/PhysRevD.84.125030

IFUP-TH/2011-8, KUNS-2332, YGHP-11-43

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

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

The scattering is studied using moduli space metric for well-separated vortices of non-Abelian vortices in (2+1)-dimensional U(N) gauge theories with N Higgs fields in the fundamental representation. Unlike vortices in the Abelian-Higgs model, dynamics of non-Abelian vortices has a lot of new features; The kinetic energy in real space can be transfered to that of internal orientational moduli and vice versa, the energy and charge transfer between two vortices, the scattering angle of collisions with a fixed impact parameter depends on the internal orientations, and some resonances appear due to synchronization of the orientations. Scattering of dyonic non-Abelian vortices in a mass deformed theory is also studied. We find a bound state of two vortices moving along coils around a circle, like a loop of a phone code.

[ { "created": "Sun, 8 May 2011 20:08:25 GMT", "version": "v1" } ]

2011-12-30

[ [ "Eto", "Minoru", "" ], [ "Fujimori", "Toshiaki", "" ], [ "Nitta", "Muneto", "" ], [ "Ohashi", "Keisuke", "" ], [ "Sakai", "Norisuke", "" ] ]

The scattering is studied using moduli space metric for well-separated vortices of non-Abelian vortices in (2+1)-dimensional U(N) gauge theories with N Higgs fields in the fundamental representation. Unlike vortices in the Abelian-Higgs model, dynamics of non-Abelian vortices has a lot of new features; The kinetic energy in real space can be transfered to that of internal orientational moduli and vice versa, the energy and charge transfer between two vortices, the scattering angle of collisions with a fixed impact parameter depends on the internal orientations, and some resonances appear due to synchronization of the orientations. Scattering of dyonic non-Abelian vortices in a mass deformed theory is also studied. We find a bound state of two vortices moving along coils around a circle, like a loop of a phone code.

11.370535

10.797846

12.357624

9.895103

10.689832

10.983664

10.574752

10.140709

10.379003

13.259259

10.38133

10.722067

11.67443

10.568136

11.058084

10.386641

10.605709

10.639999

10.589163

11.435481

10.69937

2212.09213

Kazumi Okuyama

Hartle-Hawking wavefunction in double scaled SYK

15 pages; v2: typos corrected, v3: minor corrections

null

10.1007/JHEP03(2023)152

null

hep-th

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

We compute the transition amplitude between the chord number $0$ and $\ell$ states in the double scaled SYK model and interpret it as a Hartle-Hawking wavefunction of the bulk gravitational theory. We observe that the so-called un-crossed matter correlators of double scaled SYK model are obtained by gluing the Hartle-Hawking wavefunctions with an appropriate weight.

[ { "created": "Mon, 19 Dec 2022 01:58:23 GMT", "version": "v1" }, { "created": "Mon, 26 Dec 2022 01:40:55 GMT", "version": "v2" }, { "created": "Mon, 9 Jan 2023 00:56:42 GMT", "version": "v3" } ]

2023-04-05

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

We compute the transition amplitude between the chord number $0$ and $\ell$ states in the double scaled SYK model and interpret it as a Hartle-Hawking wavefunction of the bulk gravitational theory. We observe that the so-called un-crossed matter correlators of double scaled SYK model are obtained by gluing the Hartle-Hawking wavefunctions with an appropriate weight.

13.370282

11.392615

14.662514

10.766406

10.689399

11.808126

11.952074

10.352913

10.58672

14.754362

11.144035

11.998198

13.264349

11.638172

12.342896

11.345856

12.04984

12.521936

11.909532

13.280349

11.683959

0712.0611

Alberto Iglesias

Jose J. Blanco-Pillado, Roberto Emparan and Alberto Iglesias

Fundamental Plasmid Strings and Black Rings

27 pages, 2 figures, references added, JHEP version

JHEP0801:014,2008

10.1088/1126-6708/2008/01/014

null

hep-th

null

We construct excited states of fundamental strings that admit a semiclassical description as rotating circular loops of string. We identify them with the supergravity solutions for rotating dipole rings. The identification involves a precise match of the mass, radius and angular momentum of the two systems. Moreover, the degeneracy of the string state reproduces the parametric dependence of the entropy in the supergravity description. When the solutions possess two macroscopic angular momenta, they are better described as toroidal configurations (tubular loops) instead of loops of string. We argue that the decay of the string state can be interpreted as superradiant emission of quanta from the ergoregion of the rotating ring.

[ { "created": "Wed, 5 Dec 2007 19:07:34 GMT", "version": "v1" }, { "created": "Wed, 19 Dec 2007 20:24:48 GMT", "version": "v2" }, { "created": "Wed, 9 Jan 2008 20:22:26 GMT", "version": "v3" } ]

2008-11-26

[ [ "Blanco-Pillado", "Jose J.", "" ], [ "Emparan", "Roberto", "" ], [ "Iglesias", "Alberto", "" ] ]

We construct excited states of fundamental strings that admit a semiclassical description as rotating circular loops of string. We identify them with the supergravity solutions for rotating dipole rings. The identification involves a precise match of the mass, radius and angular momentum of the two systems. Moreover, the degeneracy of the string state reproduces the parametric dependence of the entropy in the supergravity description. When the solutions possess two macroscopic angular momenta, they are better described as toroidal configurations (tubular loops) instead of loops of string. We argue that the decay of the string state can be interpreted as superradiant emission of quanta from the ergoregion of the rotating ring.

10.505565

9.775839

9.81174

9.970225

9.518713

10.740368

9.861804

10.002913

9.427011

10.895465

9.334302

10.405272

10.303936

10.012761

10.328035

10.354818

10.328121

10.427115

9.855061

10.216331

9.724998

2403.12525

Futoshi Yagi

Sung-Soo Kim, Xiaobin Li, Satoshi Nawata, Futoshi Yagi

Freezing and BPS jumping

v1:58 pages, 17 figures, v2:footnotes added, references added, published version

null

hep-th

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

We report a novel BPS jumping phenomenon of 5d $\mathcal{N}=1$ supersymmetric gauge theories whose brane configuration is equipped with an O$7$-plane. The study of the relation between O$7{}^+$-plane and O$7{}^-$-plane reveals that such BPS jumps take place when the Higgsing is triggered near the O7-plane upon a particular parameter tuning of the theories. We propose two types of gauge theories whose BPS spectra jump. One is the SU($2N+8$) gauge theory with a symmetric hypermultiplet converted to the SU($2N$) gauge theory with an antisymmetric hypermultiplet. The other is pure SO($2N+8$) gauge theory jumping to pure Sp($N$) gauge theory. We explicitly confirm our proposal through the (un)refined instanton partition functions. Furthermore, we discuss feasible generalizations involving an O$p$-plane for supersymmetric gauge theories of eight supercharges in four and three dimensions ($p=6, 5$ respectively).

[ { "created": "Tue, 19 Mar 2024 07:53:58 GMT", "version": "v1" }, { "created": "Thu, 30 May 2024 13:40:19 GMT", "version": "v2" } ]

2024-05-31

[ [ "Kim", "Sung-Soo", "" ], [ "Li", "Xiaobin", "" ], [ "Nawata", "Satoshi", "" ], [ "Yagi", "Futoshi", "" ] ]

We report a novel BPS jumping phenomenon of 5d $\mathcal{N}=1$ supersymmetric gauge theories whose brane configuration is equipped with an O$7$-plane. The study of the relation between O$7{}^+$-plane and O$7{}^-$-plane reveals that such BPS jumps take place when the Higgsing is triggered near the O7-plane upon a particular parameter tuning of the theories. We propose two types of gauge theories whose BPS spectra jump. One is the SU($2N+8$) gauge theory with a symmetric hypermultiplet converted to the SU($2N$) gauge theory with an antisymmetric hypermultiplet. The other is pure SO($2N+8$) gauge theory jumping to pure Sp($N$) gauge theory. We explicitly confirm our proposal through the (un)refined instanton partition functions. Furthermore, we discuss feasible generalizations involving an O$p$-plane for supersymmetric gauge theories of eight supercharges in four and three dimensions ($p=6, 5$ respectively).

9.117518

9.881014

10.530675

9.011087

8.859139

9.282008

9.354215

9.435

8.647918

10.95119

8.629674

8.659811

9.10251

8.605553

8.967548

8.994253

9.07854

8.864549

9.018913

9.784433

8.829679

hep-th/0002091

Steven B. Giddings

S.B. Giddings, E. Katz, and L. Randall

Linearized Gravity in Brane Backgrounds

31 pages, harvmac. v2: minor typo and reference corrections. v3: minor corrections to eqs and discussion

JHEP 0003:023,2000

10.1088/1126-6708/2000/03/023

null

hep-th gr-qc hep-ph

null

A treatment of linearized gravity is given in the Randall-Sundrum background. The graviton propagator is found in terms of the scalar propagator, for which an explicit integral expression is provided. This reduces to the four-dimensional propagator at long distances along the brane, and provides estimates of subleading corrections. Asymptotics of the propagator off the brane yields exponential falloff of gravitational fields due to matter on the brane. This implies that black holes bound to the brane have a "pancake"-like shape in the extra dimension, and indicates validity of a perturbative treatment off the brane. Some connections with the AdS/CFT correspondence are described.

[ { "created": "Fri, 11 Feb 2000 00:12:25 GMT", "version": "v1" }, { "created": "Wed, 15 Mar 2000 01:23:32 GMT", "version": "v2" }, { "created": "Thu, 6 Jun 2002 21:56:38 GMT", "version": "v3" } ]

2009-10-31

[ [ "Giddings", "S. B.", "" ], [ "Katz", "E.", "" ], [ "Randall", "L.", "" ] ]

A treatment of linearized gravity is given in the Randall-Sundrum background. The graviton propagator is found in terms of the scalar propagator, for which an explicit integral expression is provided. This reduces to the four-dimensional propagator at long distances along the brane, and provides estimates of subleading corrections. Asymptotics of the propagator off the brane yields exponential falloff of gravitational fields due to matter on the brane. This implies that black holes bound to the brane have a "pancake"-like shape in the extra dimension, and indicates validity of a perturbative treatment off the brane. Some connections with the AdS/CFT correspondence are described.

8.886802

8.542882

8.249116

8.14374

8.314417

8.306525

8.185738

8.056719

7.669748

8.397976

7.932569

8.30478

8.412222

8.192794

8.503091

8.340466

8.188288

8.203079

8.237752

8.061502

8.58965

1011.0739

Anzhong Wang

Yongqing Huang and Anzhong Wang

Stability, ghost, and strong coupling in nonrelativistic general covariant theory of gravity with $\lambda \not=1$

Comments on the analysis of strong coupling added. Title is changed. revtex4, 12 pages and no figures. To appear in Physical Reviews D

Phys.Rev.D83:104012,2011

10.1103/PhysRevD.83.104012

null

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

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

In this paper, we investigate three important issues: stability, ghost and strong coupling, in the Horava-Melby-Thompson setup of the Horava-Lifshitz theory with $\lambda \not= 1$, generalized recently by da Silva. We first develop the general linear scalar perturbations of the Friedmann-Robertson-Walker (FRW) universe with arbitrary spatial curvature, and find that an immediate by-product of the setup is that, in all the inflationary models described by a scalar field, the FRW universe is necessarily flat. Applying them to the case of the Minkowski background, we find that it is stable, and, similar to the case $\lambda = 1$, the spin-0 graviton is eliminated. The vector perturbations vanish identically in the Minkowski background. Thus, similar to general relativity, a free gravitational field in this setup is completely described by a spin-2 massless graviton even with $\lambda \not= 1$. We also study the ghost problem in the FRW background, and find explicitly the ghost-free conditions. To study the strong coupling problem, we consider two different kinds of spacetimes all with the presence of matter, one is cosmological and the one is static. We find that the coupling becomes strong for a process with energy higher than $M_{pl} |c_{\psi}|^{5/2}$ in the flat FRW background, and $M_{pl}|c_{\psi}|^{3}$ in a static weak gravitational field, where $|c_{\psi}| \equiv |(1-\lambda)/(3 \lambda -1)|^{1/2}$.

[ { "created": "Tue, 2 Nov 2010 20:01:36 GMT", "version": "v1" }, { "created": "Sun, 9 Jan 2011 19:01:30 GMT", "version": "v2" }, { "created": "Tue, 5 Apr 2011 18:55:24 GMT", "version": "v3" } ]

2011-05-13

[ [ "Huang", "Yongqing", "" ], [ "Wang", "Anzhong", "" ] ]

In this paper, we investigate three important issues: stability, ghost and strong coupling, in the Horava-Melby-Thompson setup of the Horava-Lifshitz theory with $\lambda \not= 1$, generalized recently by da Silva. We first develop the general linear scalar perturbations of the Friedmann-Robertson-Walker (FRW) universe with arbitrary spatial curvature, and find that an immediate by-product of the setup is that, in all the inflationary models described by a scalar field, the FRW universe is necessarily flat. Applying them to the case of the Minkowski background, we find that it is stable, and, similar to the case $\lambda = 1$, the spin-0 graviton is eliminated. The vector perturbations vanish identically in the Minkowski background. Thus, similar to general relativity, a free gravitational field in this setup is completely described by a spin-2 massless graviton even with $\lambda \not= 1$. We also study the ghost problem in the FRW background, and find explicitly the ghost-free conditions. To study the strong coupling problem, we consider two different kinds of spacetimes all with the presence of matter, one is cosmological and the one is static. We find that the coupling becomes strong for a process with energy higher than $M_{pl} |c_{\psi}|^{5/2}$ in the flat FRW background, and $M_{pl}|c_{\psi}|^{3}$ in a static weak gravitational field, where $|c_{\psi}| \equiv |(1-\lambda)/(3 \lambda -1)|^{1/2}$.

7.233387

6.947449

7.176972

6.618126

6.821411

6.672039

6.777703

6.952351

7.03909

7.855881

6.881197

6.834321

7.098297

6.821275

6.738244

6.767743

6.909664

6.916073

6.894029

7.166755

6.901839

1311.2938

David McGady

David A. McGady, Laurentiu Rodina

Higher-spin massless S-matrices in four-dimensions

33 pages, 2 figures; streamlined abstract and introduction; expanded references to higher-spin literature; modified discussion of the Yukawa-like interaction

Phys. Rev. D 90, 084048 (2014)

10.1103/PhysRevD.90.084048

PUPT 2454

hep-th

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

On-shell, analytic S-matrix elements in massless theories are constructed from a finite set of primitive three-point amplitudes, which are fixed by Poincare invariance up to an overall numerical constant. We classify \emph{all} such three-point amplitudes in four-dimensions. Imposing the simplest incarnation of Locality and Unitarity on four-particle amplitudes constructed from these three-particle amplitudes rules out all but an extremely small subset of interactions among higher-spin massless states. Notably, the equivalence principle, and the Weinberg-Witten theorem, are simple corollaries of this principle. Further, no massless states with helicity larger than two may consistently interact with massless gravitons. Chromodynamics, electrodynamics, Yukawa and $\phi^3$-theories are the only marginal and relevant interactions between massless states. Finally, we show that supersymmetry naturally emerges as a consistency condition on four-particle amplitudes involving spin-3/2 states, which must always interact gravitationally.

[ { "created": "Tue, 12 Nov 2013 21:00:03 GMT", "version": "v1" }, { "created": "Thu, 11 Sep 2014 03:42:45 GMT", "version": "v2" } ]

2014-11-05

[ [ "McGady", "David A.", "" ], [ "Rodina", "Laurentiu", "" ] ]

On-shell, analytic S-matrix elements in massless theories are constructed from a finite set of primitive three-point amplitudes, which are fixed by Poincare invariance up to an overall numerical constant. We classify \emph{all} such three-point amplitudes in four-dimensions. Imposing the simplest incarnation of Locality and Unitarity on four-particle amplitudes constructed from these three-particle amplitudes rules out all but an extremely small subset of interactions among higher-spin massless states. Notably, the equivalence principle, and the Weinberg-Witten theorem, are simple corollaries of this principle. Further, no massless states with helicity larger than two may consistently interact with massless gravitons. Chromodynamics, electrodynamics, Yukawa and $\phi^3$-theories are the only marginal and relevant interactions between massless states. Finally, we show that supersymmetry naturally emerges as a consistency condition on four-particle amplitudes involving spin-3/2 states, which must always interact gravitationally.

8.50849

8.871202

8.906754

8.214762

8.764151

8.549826

8.02444

8.885498

8.516166

10.165972

8.379519

8.10861

8.290438

7.877267

8.030685

8.151544

7.995849

8.126586

7.982999

8.285496

8.02529

1901.08799

Tatsuya Ogawa

Hideki Ishihara and Tatsuya Ogawa

Homogeneous Balls in a Spontaneously Broken U(1) Gauge Theory

19 pages, 14 figures

Phys. Rev. D 99, 056019 (2019)

10.1103/PhysRevD.99.056019

OCU-PHYS 496, AP-GR 153, NITEP 7

hep-th

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

We study the coupled system consisting of a complex matter scalar field, a U(1) gauge field, and a complex Higgs scalar field that causes spontaneously symmetry breaking. We show by numerical calculations that there are spherically symmetric nontopological soliton solutions. Homogeneous balls solutions, all fields take constant values inside the ball and in the vacuum state outside, appear in this system. It is shown that the homogeneous balls have the following properties: charge density of the matter scalar field is screened by counter charge cloud of the Higgs and gauge field everywhere; an arbitrary large size is allowed; energy density and pressure of the ball behave homogeneous nonrelativistic gas; a large ball is stable against dispersion into free particles and against decay into two smaller balls.

[ { "created": "Fri, 25 Jan 2019 09:45:17 GMT", "version": "v1" } ]

2019-04-03

[ [ "Ishihara", "Hideki", "" ], [ "Ogawa", "Tatsuya", "" ] ]

We study the coupled system consisting of a complex matter scalar field, a U(1) gauge field, and a complex Higgs scalar field that causes spontaneously symmetry breaking. We show by numerical calculations that there are spherically symmetric nontopological soliton solutions. Homogeneous balls solutions, all fields take constant values inside the ball and in the vacuum state outside, appear in this system. It is shown that the homogeneous balls have the following properties: charge density of the matter scalar field is screened by counter charge cloud of the Higgs and gauge field everywhere; an arbitrary large size is allowed; energy density and pressure of the ball behave homogeneous nonrelativistic gas; a large ball is stable against dispersion into free particles and against decay into two smaller balls.

14.943647

14.893554

13.620904

13.046638

13.551

14.155083

14.561705

13.45701

13.249997

15.561451

12.785487

13.575473

13.743585

13.683555

13.646179

13.870338

13.300729

14.004498

13.128519

13.796819

13.615456

hep-th/9506093

Hsien-chung Kao

Generalizing the Coleman-Hill Theorem

11 pages, uses phyzzx. Abstract and conclusion modified, new reference added

Mod.Phys.Lett. A12 (1997) 763-772

10.1142/S0217732397000790

IP-ASTP-12

hep-th

null

Following the work of Khare {\it et al}, we show that the generalization to systems with spontaneous symmetry breaking of the Coleman-Hill theorem to one-loop order, can be extended to the case including fermions with the most general interactions. Although the correction to the parity-odd part of the vacuum polarization looks complicated in the Higgs phase, it turns out that the correction to the Chern-Simons term is identical to that in the symmetric phase, with the difference coming only from the contribution of the would be Chern-Simons term. We also discuss the implication of our result to nonabelian systems.

[ { "created": "Wed, 14 Jun 1995 20:26:55 GMT", "version": "v1" }, { "created": "Mon, 17 Jul 1995 21:09:20 GMT", "version": "v2" } ]

2009-10-28

[ [ "Kao", "Hsien-chung", "" ] ]

Following the work of Khare {\it et al}, we show that the generalization to systems with spontaneous symmetry breaking of the Coleman-Hill theorem to one-loop order, can be extended to the case including fermions with the most general interactions. Although the correction to the parity-odd part of the vacuum polarization looks complicated in the Higgs phase, it turns out that the correction to the Chern-Simons term is identical to that in the symmetric phase, with the difference coming only from the contribution of the would be Chern-Simons term. We also discuss the implication of our result to nonabelian systems.

9.775571

9.111975

9.553768

8.849769

9.481074

9.399313

9.243634

8.853205

8.669009

9.747752

8.72445

8.894111

9.166696

8.791636

8.998013

9.136437

8.956266

9.06141

8.650817

9.098536

8.985777

1301.6320

In Yong Park

I. Y. Park

On the pattern of black hole information release

23 pages, paragraphs and refs added for clarity, in particular comments added on information obliteration and its relation to information bleaching

Int.J.Mod.Phys. A29 (2014) 1450047

10.1142/S0217751X1450047X

null

hep-th

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

We propose a step towards a resolution to black hole information paradox by analyzing scattering amplitudes of a complex scalar field around a Schwarzschild black hole. The scattering cross section reveals much information on the incoming state but exhibits flux loss at the same time. The flux loss should be temporary, and indicate mass growth of the black hole. The black hole should Hawking-radiate subsequently, thereby, compensating for the flux loss. {By examining the purity issue}, we comment on the possibility that information bleaching may be the key to the paradox.

[ { "created": "Sun, 27 Jan 2013 06:07:47 GMT", "version": "v1" }, { "created": "Sat, 9 Feb 2013 15:18:35 GMT", "version": "v2" }, { "created": "Tue, 19 Mar 2013 13:50:17 GMT", "version": "v3" }, { "created": "Tue, 19 Nov 2013 14:56:48 GMT", "version": "v4" }, { "created": "Wed, 18 Dec 2013 09:17:46 GMT", "version": "v5" } ]

2014-03-17

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

We propose a step towards a resolution to black hole information paradox by analyzing scattering amplitudes of a complex scalar field around a Schwarzschild black hole. The scattering cross section reveals much information on the incoming state but exhibits flux loss at the same time. The flux loss should be temporary, and indicate mass growth of the black hole. The black hole should Hawking-radiate subsequently, thereby, compensating for the flux loss. {By examining the purity issue}, we comment on the possibility that information bleaching may be the key to the paradox.

20.856573

21.201191

19.282652

20.324087

20.801575

21.224752

20.727854

18.900232

20.030359

21.759012

19.481842

19.541616

19.957455

19.9403

19.208218

20.19591

19.413132

19.807217

19.573166

19.746857

19.05485

hep-th/9808133

Joachim Lindig

Not all adiabatic vacua are physical states

13 pages, LaTex2e

Phys. Rev. D 59, 064011 (1999)

10.1103/PhysRevD.59.064011

null

hep-th

null

Adiabatic vacua are known to be Hadamard states. We show, however that the energy-momentum tensor of a linear Klein-Gordon field on Robertson-Walker spaces developes a generic singularity on the initial hypersurface if the adiabatic vacuum is of order less than four. Therefore, adiabatic vacua are physically reasonable only if their order is at least four. A certain non-local large momentum expansion of the mode functions has recently been suggested to yield the subtraction terms needed to remove the ultraviolet divergences in the energy-momentum tensor. We find that this scheme fails to reproduce the trace anomaly and therefore is not equivalent to adiabatic regularisation.

[ { "created": "Fri, 21 Aug 1998 07:45:23 GMT", "version": "v1" } ]

2016-08-25

[ [ "Lindig", "Joachim", "" ] ]

Adiabatic vacua are known to be Hadamard states. We show, however that the energy-momentum tensor of a linear Klein-Gordon field on Robertson-Walker spaces developes a generic singularity on the initial hypersurface if the adiabatic vacuum is of order less than four. Therefore, adiabatic vacua are physically reasonable only if their order is at least four. A certain non-local large momentum expansion of the mode functions has recently been suggested to yield the subtraction terms needed to remove the ultraviolet divergences in the energy-momentum tensor. We find that this scheme fails to reproduce the trace anomaly and therefore is not equivalent to adiabatic regularisation.

9.083553

9.213161

8.238198

8.32748

8.404331

8.83525

8.599408

8.046835

8.657449

8.55667

8.981422

7.568285

8.131926

7.889953

7.692421

7.92844

7.719671

7.769005

7.955289

8.189437

8.206755

2303.05538

Dmitry Galakhov

BPS States Meet Generalized Cohomology

31 pages, 2 figures, minor corrections

JHEP07(2023)059

10.1007/JHEP07(2023)059

null

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

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

In this note we review a construction of a BPS Hilbert space in an effective supersymmetric quiver theory with 4 supercharges. We argue abstractly that this space contains elements of an equivariant generalized cohomology theory $E_G^{*}(-)$ of the quiver representation moduli space giving concretely Dolbeault cohomology, K-theory or elliptic cohomology depending on the spacial slice is compactified to a point, a circle or a torus respectively, and something more amorphous in other cases. Furthermore BPS instantons -- basic contributors to interface defects or a Berry connection -- induce a BPS algebra on the BPS Hilbert spaces representing Fourier-Mukai transforms on the quiver representation moduli spaces descending to an algebra over $E_G^{*}(-)$ as its representation. In the cases when the quiver describes a toric Calabi-Yau three-fold (CY${}_3$) the algebra is a respective generalization of the quiver BPS Yangian algebra discussed in the literature, in more general cases it is given by an abstract generalized cohomological Hall algebra.

[ { "created": "Thu, 9 Mar 2023 19:01:30 GMT", "version": "v1" }, { "created": "Fri, 17 Mar 2023 07:30:23 GMT", "version": "v2" }, { "created": "Fri, 7 Jul 2023 21:19:19 GMT", "version": "v3" } ]

2023-07-11

[ [ "Galakhov", "Dmitry", "" ] ]

In this note we review a construction of a BPS Hilbert space in an effective supersymmetric quiver theory with 4 supercharges. We argue abstractly that this space contains elements of an equivariant generalized cohomology theory $E_G^{*}(-)$ of the quiver representation moduli space giving concretely Dolbeault cohomology, K-theory or elliptic cohomology depending on the spacial slice is compactified to a point, a circle or a torus respectively, and something more amorphous in other cases. Furthermore BPS instantons -- basic contributors to interface defects or a Berry connection -- induce a BPS algebra on the BPS Hilbert spaces representing Fourier-Mukai transforms on the quiver representation moduli spaces descending to an algebra over $E_G^{*}(-)$ as its representation. In the cases when the quiver describes a toric Calabi-Yau three-fold (CY${}_3$) the algebra is a respective generalization of the quiver BPS Yangian algebra discussed in the literature, in more general cases it is given by an abstract generalized cohomological Hall algebra.

13.621939

14.661336

15.081348

12.550005

13.40386

12.986409

13.812901

13.686182

13.058446

17.620708

12.159156

12.810811

14.402019

12.773779

12.819299

12.862473

12.459904

12.80678

13.140722

14.645797

12.786061

hep-th/0204249

Calin Iuliu Lazaroiu

L. Anguelova, C. I. Lazaroiu

M-theory compactifications on certain `toric' cones of $G_2$ holonomy

83 pages, numerous figures v2,3: corrected typos, some references added

JHEP 0301 (2003) 066

10.1088/1126-6708/2003/01/066

YITP-SB-02-22

hep-th math.DG

null

We develop methods to study the singularities of certain $G_2$ cones related to toric hyperkahler spaces and Einstein selfdual orbifolds. This allows us to determine the low energy gauge groups of chiral N=1 compactifications of M-theory on a large family of such backgrounds, which includes the models recently studied by Acharya and Witten. All M-theory compactifications belonging to our family admit a $T^2$ of isometries, and therefore T-dual IIA and IIB descriptions. We argue that reduction through such an isometry leads generically to systems of weakly and strongly coupled IIA 6-branes, T-dual to delocalized type IIB 5-branes. We find a simple criterion for the existence of a `good' isometry which leads to IIA models containing only weakly-coupled D6-branes, and construct examples of such backgrounds. Some of the methods we develop may also apply to different situations, such as the study of certain singularities in the hypermultiplet moduli space of N=2 supergravity in four dimensions.

[ { "created": "Mon, 29 Apr 2002 19:55:03 GMT", "version": "v1" }, { "created": "Tue, 30 Apr 2002 19:39:51 GMT", "version": "v2" }, { "created": "Tue, 16 Jul 2002 14:24:20 GMT", "version": "v3" } ]

2009-11-07

[ [ "Anguelova", "L.", "" ], [ "Lazaroiu", "C. I.", "" ] ]

We develop methods to study the singularities of certain $G_2$ cones related to toric hyperkahler spaces and Einstein selfdual orbifolds. This allows us to determine the low energy gauge groups of chiral N=1 compactifications of M-theory on a large family of such backgrounds, which includes the models recently studied by Acharya and Witten. All M-theory compactifications belonging to our family admit a $T^2$ of isometries, and therefore T-dual IIA and IIB descriptions. We argue that reduction through such an isometry leads generically to systems of weakly and strongly coupled IIA 6-branes, T-dual to delocalized type IIB 5-branes. We find a simple criterion for the existence of a `good' isometry which leads to IIA models containing only weakly-coupled D6-branes, and construct examples of such backgrounds. Some of the methods we develop may also apply to different situations, such as the study of certain singularities in the hypermultiplet moduli space of N=2 supergravity in four dimensions.

9.296719

8.357794

10.495836

8.435524

8.385531

8.831015

8.311961

8.132344

8.918295

10.507579

8.279293

8.962863

8.944543

8.491576

8.594429

8.558921

8.677773

8.868007

8.323664

9.09477

8.579545

2107.10439

Agam Shayit

Agam Shayit, S. A. Fulling, T. E. Settlemyre, Joseph Merritt

Vacuum energy density and pressure inside a soft wall

28 pages, 13 figures, 3 tables. Background information and historical references added, formatting changed

Int. J. Mod. Phys. A, 2241007 (2022)

10.1142/S0217751X2241007X

null

hep-th quant-ph

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

In the study of quantum vacuum energy and the Casimir effect, it is desirable to model the conductor by a potential of the form $V(z)=z^\alpha$. This "soft wall" model was proposed so as to avoid the violation of the principle of virtual work under ultraviolet regularization that occurs for the standard Dirichlet wall. The model was formalized for a massless scalar field, and the expectation value of the stress tensor has been expressed in terms of the reduced Green function of the equation of motion. In the limit of interest, $\alpha \gg 1$, which approximates a Dirichlet wall, a closed-form expression for the reduced Green function cannot be found, so piecewise approximations incorporating the perturbative and WKB expansions of the Green function, along with interpolating splines in the region where neither expansion is valid, have been developed. After reviewing this program, in this article we apply the scheme to the wall with $\alpha=6$ and use it to compute the renormalized energy density and pressure inside the cavity for various values of the conformal parameter. The consistency of the results is verified by comparison to their numerical counterparts and verification of the trace anomaly and the conservation law. Finally, we use the approximation scheme to reproduce the energy density inside the quadratic wall, which was previously calculated exactly but with some uncertainty.

[ { "created": "Thu, 22 Jul 2021 03:35:38 GMT", "version": "v1" }, { "created": "Thu, 29 Jul 2021 16:06:57 GMT", "version": "v2" }, { "created": "Thu, 13 Jan 2022 19:04:24 GMT", "version": "v3" }, { "created": "Mon, 21 Feb 2022 04:52:22 GMT", "version": "v4" } ]

2022-06-09

[ [ "Shayit", "Agam", "" ], [ "Fulling", "S. A.", "" ], [ "Settlemyre", "T. E.", "" ], [ "Merritt", "Joseph", "" ] ]

In the study of quantum vacuum energy and the Casimir effect, it is desirable to model the conductor by a potential of the form $V(z)=z^\alpha$. This "soft wall" model was proposed so as to avoid the violation of the principle of virtual work under ultraviolet regularization that occurs for the standard Dirichlet wall. The model was formalized for a massless scalar field, and the expectation value of the stress tensor has been expressed in terms of the reduced Green function of the equation of motion. In the limit of interest, $\alpha \gg 1$, which approximates a Dirichlet wall, a closed-form expression for the reduced Green function cannot be found, so piecewise approximations incorporating the perturbative and WKB expansions of the Green function, along with interpolating splines in the region where neither expansion is valid, have been developed. After reviewing this program, in this article we apply the scheme to the wall with $\alpha=6$ and use it to compute the renormalized energy density and pressure inside the cavity for various values of the conformal parameter. The consistency of the results is verified by comparison to their numerical counterparts and verification of the trace anomaly and the conservation law. Finally, we use the approximation scheme to reproduce the energy density inside the quadratic wall, which was previously calculated exactly but with some uncertainty.

9.451459

10.324019

10.036143

9.487322

9.900706

10.389547

10.222919

9.87616

9.905691

10.088387

9.558741

9.527086

9.023704

9.356333

9.367486

9.351069

9.367364

9.409658

9.481165

9.16715

9.420824

hep-th/9703162

Abdel-Khalek Khaled

Khaled Abdel-Khalek (Phys. Dept./Lecce Univ.)

Octonions and Super Lie algebra

RevTex file, 12 pages, to be published in Int. J. of Mod. Phys. A; Some references added

Int.J.Mod.Phys. A13 (1998) 223-232

10.1142/S0217751X98000093

null

hep-th

null

We discuss how to represent the non-associative octonionic structure in terms of the associative matrix algebra using the left and right octonionic operators. As an example we construct explicitly some Lie and Super Lie algebra. Then we discuss the notion of octonionic Grassmann numbers and explain its possible application for giving a superspace formulation of the minimal supersymmetric Yang-Mills models.

[ { "created": "Mon, 24 Mar 1997 14:32:58 GMT", "version": "v1" }, { "created": "Thu, 27 Mar 1997 11:23:51 GMT", "version": "v2" } ]

2009-10-30

[ [ "Abdel-Khalek", "Khaled", "", "Phys. Dept./Lecce Univ." ] ]

We discuss how to represent the non-associative octonionic structure in terms of the associative matrix algebra using the left and right octonionic operators. As an example we construct explicitly some Lie and Super Lie algebra. Then we discuss the notion of octonionic Grassmann numbers and explain its possible application for giving a superspace formulation of the minimal supersymmetric Yang-Mills models.

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13.849564

12.453551

hep-th/0501119

Schwarz

A. Schwarz

A-model and generalized Chern-Simons theory

11 pages, latex, minor changes

Phys.Lett. B620 (2005) 180-186

10.1016/j.physletb.2005.06.030

null

hep-th

null

The relation between open topological strings and Chern-Simons theory was discovered by E. Witten. He proved that A-model on T*M where M is a three-dimensional manifold is equivalent to Chern-Simons theory on M and that A-model on arbitrary Calabi-Yau 3-fold is related to Chern-Simons theory with instanton corrections. In present paper we discuss multidimensional generalization of these results.

[ { "created": "Sun, 16 Jan 2005 20:09:57 GMT", "version": "v1" }, { "created": "Sun, 30 Jan 2005 07:14:06 GMT", "version": "v2" } ]

2009-11-11

[ [ "Schwarz", "A.", "" ] ]

The relation between open topological strings and Chern-Simons theory was discovered by E. Witten. He proved that A-model on T*M where M is a three-dimensional manifold is equivalent to Chern-Simons theory on M and that A-model on arbitrary Calabi-Yau 3-fold is related to Chern-Simons theory with instanton corrections. In present paper we discuss multidimensional generalization of these results.

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6.23437

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6.271807

6.60231

6.320601

6.176831

hep-th/0703085

Sebastian Guttenberg

Derived Brackets from Super-Poisson Brackets

2 pages, to appear in the proceedings (Nuclear Physics B -- Proceedings Supplements) of the Cargese summer school 2006 on strings and branes

Nucl.Phys.Proc.Suppl.171:279-280,2007

10.1016/j.nuclphysbps.2007.06.025

TUW-07-03

hep-th

null

The relation between Poisson brackets in supersymmetric one or two-dimensional sigma-models and derived brackets is summarized.

[ { "created": "Thu, 8 Mar 2007 19:24:48 GMT", "version": "v1" } ]

2008-11-26

[ [ "Guttenberg", "Sebastian", "" ] ]

The relation between Poisson brackets in supersymmetric one or two-dimensional sigma-models and derived brackets is summarized.

40.210697

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21.418886

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22.332081

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29.082407

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22.891081

32.371593

22.740173

22.721087

23.006407

23.18619

24.171436

23.671867

26.026449

22.510895

hep-th/0210195

Thorsten Leonhardt

Thorsten Leonhardt and Werner Ruehl

General graviton exchange graph for four point functions in the AdS/CFT correspondence

14 pages, 2 figures

J.Phys.A36:1159-1168,2003

10.1088/0305-4470/36/4/321

null

hep-th

null

In this note we explicitly compute the graviton exchange graph for scalar fields with arbitrary conformal dimension \Delta in arbitrary spacetime dimension d. This results in an analytical function in \Delta as well as in d.

[ { "created": "Mon, 21 Oct 2002 14:00:05 GMT", "version": "v1" }, { "created": "Tue, 3 Dec 2002 08:12:56 GMT", "version": "v2" } ]

2008-11-26

[ [ "Leonhardt", "Thorsten", "" ], [ "Ruehl", "Werner", "" ] ]

In this note we explicitly compute the graviton exchange graph for scalar fields with arbitrary conformal dimension \Delta in arbitrary spacetime dimension d. This results in an analytical function in \Delta as well as in d.

14.458601

10.358547

11.757834

9.914824

10.652483

9.53742

9.692205

9.996918

10.064752

13.418562

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11.12438

10.075562

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10.334188

9.973055

9.553262

10.347593

10.856083

10.230193

hep-th/9405196

My Account

J. Ellis, N. Mavromatos, and D. Nanopoulos

Some Physical Aspects of Liouville String Dynamics

CERN-TH.7269/94, 37 pages, 2 figures (not included), latex. Direct inquiries to: mavroman@cernvm.cern.ch

null

hep-th gr-qc hep-ph

null

We discuss some physical aspects of our Liouville approach to non-critical strings, including the emergence of a microscopic arrow of time, effective field theories as classical ``pointer'' states in theory space, $CPT$ violation and the possible apparent non-conservation of angular momentum. We also review the application of a phenomenological parametrization of this formalism to the neutral kaon system.

[ { "created": "Tue, 31 May 1994 13:37:43 GMT", "version": "v1" } ]

2009-09-25

[ [ "Ellis", "J.", "" ], [ "Mavromatos", "N.", "" ], [ "Nanopoulos", "D.", "" ] ]

We discuss some physical aspects of our Liouville approach to non-critical strings, including the emergence of a microscopic arrow of time, effective field theories as classical ``pointer'' states in theory space, $CPT$ violation and the possible apparent non-conservation of angular momentum. We also review the application of a phenomenological parametrization of this formalism to the neutral kaon system.

16.915203

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14.540298

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15.405114

14.765697

15.238585

15.242085

15.033698

15.381397

15.470924

16.300133

15.070703

15.351282

15.463652

15.805152

2405.07141

Junqi Wang

Chon Man Sou, Junqi Wang, and Yi Wang

Cosmological Bell Tests with Decoherence Effects

v2: 42 pages, 6 figures; typos corrected

null

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

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

The inflationary universe creates particle pairs, which are entangled in their momenta due to momentum conservation. Operators involving the momenta of the fluctuations can be rewritten into pseudo-spin operators, such as the Gour-Khanna-Mann-Revzen (GKMR) pseudo-spin. Making use of these pseudo-spin operators, cosmological Bell inequalities can be formulated. The violation of these Bell inequalities indicates the quantum nature of primordial fluctuations. In this work, we focus on primordial curvature perturbations. Since curvature perturbations arise from gravity, their action includes the Gibbons-Hawking-York boundary term. We clarify the role of the boundary term in selecting suitable initial conditions for linear perturbations. After that, we proceed to the interactions of cosmological perturbations, including the bulk and boundary interaction terms, which introduce decoherence effects. These decoherence effects change the expectation value of the Bell operator, and gradually restore the Bell inequality. We describe this process by a ``Bell test curve'', which offers a window around 5 e-folds for testing the quantum origin of cosmological perturbations. We also explore the possibility of extracting the information of the decoherence rate and the structure of primordial interactions from the Bell test curve.

[ { "created": "Sun, 12 May 2024 02:39:01 GMT", "version": "v1" }, { "created": "Mon, 27 May 2024 08:19:34 GMT", "version": "v2" } ]

2024-05-28

[ [ "Sou", "Chon Man", "" ], [ "Wang", "Junqi", "" ], [ "Wang", "Yi", "" ] ]

The inflationary universe creates particle pairs, which are entangled in their momenta due to momentum conservation. Operators involving the momenta of the fluctuations can be rewritten into pseudo-spin operators, such as the Gour-Khanna-Mann-Revzen (GKMR) pseudo-spin. Making use of these pseudo-spin operators, cosmological Bell inequalities can be formulated. The violation of these Bell inequalities indicates the quantum nature of primordial fluctuations. In this work, we focus on primordial curvature perturbations. Since curvature perturbations arise from gravity, their action includes the Gibbons-Hawking-York boundary term. We clarify the role of the boundary term in selecting suitable initial conditions for linear perturbations. After that, we proceed to the interactions of cosmological perturbations, including the bulk and boundary interaction terms, which introduce decoherence effects. These decoherence effects change the expectation value of the Bell operator, and gradually restore the Bell inequality. We describe this process by a ``Bell test curve'', which offers a window around 5 e-folds for testing the quantum origin of cosmological perturbations. We also explore the possibility of extracting the information of the decoherence rate and the structure of primordial interactions from the Bell test curve.

9.853155

11.274798

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11.324905

11.441557

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9.396894

9.101527

9.405599

9.454554

9.782881

9.273282

9.308959

9.444276

9.441454

hep-th/0412030

Shin'ichi Nojiri

Shin'ichi Nojiri and Sergei D. Odintsov

Dark Energy and Cosmic Speed-Up from Consistent Modified Gravity

9pages, JHEP Proceedings of Winter Conf on Math.Methods in Physics, Rio, August 2004

PoS WC2004:024,2004

null

hep-th astro-ph gr-qc

null

We review some modified gravity models which describe the gravitational dark energy and the possibility of cosmic speed-up. The new consistent version of such theory which contains inverse and HD curvature terms as well as new type of coupling with matter is proposed. The accelerating cosmologies are discussed there. The structure of finite-time (sudden) singularities is investigated.

[ { "created": "Thu, 2 Dec 2004 22:38:56 GMT", "version": "v1" } ]

2009-09-17

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

We review some modified gravity models which describe the gravitational dark energy and the possibility of cosmic speed-up. The new consistent version of such theory which contains inverse and HD curvature terms as well as new type of coupling with matter is proposed. The accelerating cosmologies are discussed there. The structure of finite-time (sudden) singularities is investigated.

27.99332

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25.358385

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26.65799

25.594326

27.792318

25.923763

25.445816

24.893141

24.647411

26.429279

24.818352

hep-th/9707116

Zbigniew Was

Z. Was

Trefoil knot and ad-hoc classification of elementary fields in the Standard Model

uuencoded and gtar: was.tex was1.eps was2.eps. Use latex; in total 8 pages including front and 2 figure pages

Phys.Lett. B416 (1998) 369-372

10.1016/S0370-2693(97)01346-4

CERN-TH/97-162

hep-th

null

We present an arbitrary model based on the trefoil knot to construct objects of the same spectrum as that of elementary particles. It includes `waves' and three identical sets of sources. Due to Lorentz invariance, `waves' group into 3 types of 1, 3 and 8 objects and `sources' consists of 3 identical sets of 30+2 elements, which separate into: 1 * 1 * 2 + 1 * 2 * 2 + 3 * 2 * 2 + 3 * 1 * 2 + 3 * 1 * 2 and another 1 * 1 * 2 group (which does not match classification of the Standard Model fields). On the other hand, there is no room in this construction for objects directly corresponding to Higgs-like degrees of freedom.

[ { "created": "Fri, 11 Jul 1997 15:38:39 GMT", "version": "v1" } ]

2009-10-30

[ [ "Was", "Z.", "" ] ]

We present an arbitrary model based on the trefoil knot to construct objects of the same spectrum as that of elementary particles. It includes `waves' and three identical sets of sources. Due to Lorentz invariance, `waves' group into 3 types of 1, 3 and 8 objects and `sources' consists of 3 identical sets of 30+2 elements, which separate into: 1 * 1 * 2 + 1 * 2 * 2 + 3 * 2 * 2 + 3 * 1 * 2 + 3 * 1 * 2 and another 1 * 1 * 2 group (which does not match classification of the Standard Model fields). On the other hand, there is no room in this construction for objects directly corresponding to Higgs-like degrees of freedom.

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11.051269

2208.12001

Alexei Nurmagambetov

A.M. Arslanaliev, A.J. Nurmagambetov

Kerr Black Holes within the Membrane Paradigm

26 pages, 11 figures; v.2, published version

Letters in High Energy Physics, LHEP-328, 2022

10.31526/lhep.2022.328

null

hep-th gr-qc

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

We consider the membrane viewpoint a l\`a Parikh-Wilczek on the Kerr solution for a rotating black hole. Computing the stress-energy tensor of a close-to-the-horizon stretched membrane and comparing it to the stress-tensor of a viscous fluid, we recover transport coefficients in terms of the Kerr geometry. Viscosities of the dual fluid remain constant, while the rest of the transport coefficients become complex functions of radial and angle coordinates. We study the qualitative behavior of the pressure, expansion, and energy/momentum densities for two specific black holes: the slowly rotating black hole, with the angular momentum of one percent of the black hole mass squared, and the extremal Kerr black hole. For the Kerr solution in the Boyer-Lindquist coordinates, these transport coefficients generally have poles at different values of the radial coordinate in the range between the horizon and the Schwarzschild radius of the black hole, in dependence on the fixed angle direction. We briefly discuss our findings in the context of a relation between the Membrane Paradigm and the AdS/CFT correspondence, the KSS bound violation, the coordinate choice, and a non-stationary extension of the Kerr solution.

[ { "created": "Thu, 25 Aug 2022 11:10:36 GMT", "version": "v1" }, { "created": "Wed, 4 Jan 2023 11:15:16 GMT", "version": "v2" } ]

2023-01-05

[ [ "Arslanaliev", "A. M.", "" ], [ "Nurmagambetov", "A. J.", "" ] ]

We consider the membrane viewpoint a l\`a Parikh-Wilczek on the Kerr solution for a rotating black hole. Computing the stress-energy tensor of a close-to-the-horizon stretched membrane and comparing it to the stress-tensor of a viscous fluid, we recover transport coefficients in terms of the Kerr geometry. Viscosities of the dual fluid remain constant, while the rest of the transport coefficients become complex functions of radial and angle coordinates. We study the qualitative behavior of the pressure, expansion, and energy/momentum densities for two specific black holes: the slowly rotating black hole, with the angular momentum of one percent of the black hole mass squared, and the extremal Kerr black hole. For the Kerr solution in the Boyer-Lindquist coordinates, these transport coefficients generally have poles at different values of the radial coordinate in the range between the horizon and the Schwarzschild radius of the black hole, in dependence on the fixed angle direction. We briefly discuss our findings in the context of a relation between the Membrane Paradigm and the AdS/CFT correspondence, the KSS bound violation, the coordinate choice, and a non-stationary extension of the Kerr solution.

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10.431741

9.96076

1607.08670

Roldao da Rocha

A. F. Ferrari, J. A. S. Neto, R. da Rocha

The role of singular spinor fields in a torsional gravity, Lorentz-violating, framework

Published version, 20 pages. arXiv admin note: text overlap with arXiv:hep-th/0312310 by other authors

Gen. Relat. Grav. 49 (2017) 70

10.1007/s10714-017-2233-8

null

hep-th math-ph math.MP

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

In this work, we consider a generalization of quantum electrodynamics including Lorentz violation and torsional-gravity, in the context of general spinor fields as classified in the Lounesto scheme. Singular spinor fields will be shown to be less sensitive to the Lorentz violation, as far as couplings between the spinor bilinear covariants and torsion are regarded. In addition, we prove that flagpole spinor fields do not admit minimal coupling to the torsion. In general, mass dimension four couplings are deeply affected when singular flagpole spinors are considered, instead of the usual Dirac spinors. We also construct a mapping between spinors in the covariant framework and spinors in Lorentz symmetry breaking scenarios, showing how one may transliterate spinors of different classes between the two cases. Specific examples concerning the mapping of Dirac spinor fields in Lorentz violating scenarios into flagpole and flag-dipole spinors with full Lorentz invariance (including the cases of Weyl and Majorana spinors) are worked out.

[ { "created": "Fri, 29 Jul 2016 00:16:43 GMT", "version": "v1" }, { "created": "Mon, 1 Aug 2016 02:26:59 GMT", "version": "v2" }, { "created": "Sat, 29 Apr 2017 17:00:01 GMT", "version": "v3" } ]

2017-05-02

[ [ "Ferrari", "A. F.", "" ], [ "Neto", "J. A. S.", "" ], [ "da Rocha", "R.", "" ] ]

In this work, we consider a generalization of quantum electrodynamics including Lorentz violation and torsional-gravity, in the context of general spinor fields as classified in the Lounesto scheme. Singular spinor fields will be shown to be less sensitive to the Lorentz violation, as far as couplings between the spinor bilinear covariants and torsion are regarded. In addition, we prove that flagpole spinor fields do not admit minimal coupling to the torsion. In general, mass dimension four couplings are deeply affected when singular flagpole spinors are considered, instead of the usual Dirac spinors. We also construct a mapping between spinors in the covariant framework and spinors in Lorentz symmetry breaking scenarios, showing how one may transliterate spinors of different classes between the two cases. Specific examples concerning the mapping of Dirac spinor fields in Lorentz violating scenarios into flagpole and flag-dipole spinors with full Lorentz invariance (including the cases of Weyl and Majorana spinors) are worked out.

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1211.1416

Dmitry Melnikov

Dmitry Melnikov, Emanuele Orazi and Pasquale Sodano

On the AdS/BCFT Approach to Quantum Hall Systems

20 pages, 2 figures

null

10.1007/JHEP05(2013)116

null

hep-th

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

In this paper we study a simple gravity model dual to a (2+1)-dimensional system with a boundary at finite charge density and temperature. In our naive AdS/BCFT extension of a well known AdS/CFT system a non-zero charge density must be supported by a magnetic field. As a result, the Hall conductivity is a constant inversely proportional to the coefficients of pertinent topological terms. Since the direct conductivity vanishes, such behaviors resemble that of a quantum Hall system with Fermi energy in the gap between the Landau levels. We further analyze the properties stemming from our holographic approach to a quantum Hall system. We find that at low temperatures the thermal and electric conductivities are related through the Wiedemann-Franz law, so that every charge conductance mode carries precisely one quantum of the heat conductance. From the computation of the edge currents we learn that the naive holographic model is dual to a gapless system if tensionless RS branes are used in the AdS/BCFT construction. To reconcile this result with the expected quantum Hall behavior we conclude that gravity solutions with tensionless RS branes must be unstable, calling for a search of more general solutions. We briefly discuss the expected features of more realistic holographic setups.

[ { "created": "Tue, 6 Nov 2012 22:24:59 GMT", "version": "v1" } ]

2015-06-12

[ [ "Melnikov", "Dmitry", "" ], [ "Orazi", "Emanuele", "" ], [ "Sodano", "Pasquale", "" ] ]

In this paper we study a simple gravity model dual to a (2+1)-dimensional system with a boundary at finite charge density and temperature. In our naive AdS/BCFT extension of a well known AdS/CFT system a non-zero charge density must be supported by a magnetic field. As a result, the Hall conductivity is a constant inversely proportional to the coefficients of pertinent topological terms. Since the direct conductivity vanishes, such behaviors resemble that of a quantum Hall system with Fermi energy in the gap between the Landau levels. We further analyze the properties stemming from our holographic approach to a quantum Hall system. We find that at low temperatures the thermal and electric conductivities are related through the Wiedemann-Franz law, so that every charge conductance mode carries precisely one quantum of the heat conductance. From the computation of the edge currents we learn that the naive holographic model is dual to a gapless system if tensionless RS branes are used in the AdS/BCFT construction. To reconcile this result with the expected quantum Hall behavior we conclude that gravity solutions with tensionless RS branes must be unstable, calling for a search of more general solutions. We briefly discuss the expected features of more realistic holographic setups.

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