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|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2203.02727
|
Ryo Yokokura
|
Naoki Yamamoto, Ryo Yokokura
|
Unstable Nambu-Goldstone modes
|
v1: 8 pages; v2: 9 pages, published version
|
Phys. Rev. D 106 (2022) 10, 105004
|
10.1103/PhysRevD.106.105004
|
KEK-TH-2398
|
hep-th astro-ph.CO cond-mat.mes-hall hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Nambu-Goldstone (NG) modes for 0-form and higher-form symmetries can become
unstable in the presence of background fields. Examples include the instability
of a photon with a time-dependent axion background or with a chirality
imbalance, known as the chiral plasma instability, and the instability of a
dynamical axion with a background electric field. We show that all these
phenomena can be universally described by a symmetry algebra for 0-form and
higher-form symmetries. We prove a counting rule for the number of unstable NG
modes in terms of correlation functions of broken symmetry generators. Based on
our unified description, we further give a simple new example where one of the
NG modes associated with the spontaneous 0-form symmetry breaking $U(1) \times
U(1) \to \{1\}$ becomes unstable.
|
[
{
"created": "Sat, 5 Mar 2022 12:51:56 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Nov 2022 12:15:20 GMT",
"version": "v2"
}
] |
2022-11-08
|
[
[
"Yamamoto",
"Naoki",
""
],
[
"Yokokura",
"Ryo",
""
]
] |
Nambu-Goldstone (NG) modes for 0-form and higher-form symmetries can become unstable in the presence of background fields. Examples include the instability of a photon with a time-dependent axion background or with a chirality imbalance, known as the chiral plasma instability, and the instability of a dynamical axion with a background electric field. We show that all these phenomena can be universally described by a symmetry algebra for 0-form and higher-form symmetries. We prove a counting rule for the number of unstable NG modes in terms of correlation functions of broken symmetry generators. Based on our unified description, we further give a simple new example where one of the NG modes associated with the spontaneous 0-form symmetry breaking $U(1) \times U(1) \to \{1\}$ becomes unstable.
| 7.466865
| 6.98982
| 7.668742
| 6.464841
| 8.170087
| 6.973925
| 7.037217
| 6.990827
| 7.046144
| 7.303834
| 6.915712
| 6.882174
| 6.958344
| 6.717261
| 7.000067
| 6.878964
| 6.828979
| 6.785567
| 6.831554
| 7.074887
| 6.787135
|
hep-th/0506260
|
Miao Li
|
Miao Li
|
A Class of Cosmological Matrix Models
|
12 pages, harvmac, v2: final version published in Phys. Lett. B
|
Phys.Lett. B626 (2005) 202-208
|
10.1016/j.physletb.2005.08.099
| null |
hep-th
| null |
We discuss a class of matrix models describing cosmology with a light-like
singularity, generalizing the model proposed by Craps et al. in hep-th/0506180.
|
[
{
"created": "Thu, 30 Jun 2005 09:49:51 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Oct 2005 05:52:39 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Li",
"Miao",
""
]
] |
We discuss a class of matrix models describing cosmology with a light-like singularity, generalizing the model proposed by Craps et al. in hep-th/0506180.
| 12.659647
| 9.400543
| 11.052518
| 9.437892
| 8.935678
| 10.303496
| 8.978635
| 11.628665
| 10.098248
| 14.047868
| 9.635634
| 9.011569
| 10.724578
| 9.7244
| 8.698099
| 9.158746
| 9.530926
| 10.041476
| 9.609622
| 10.840365
| 9.756517
|
hep-th/0508199
|
Roldao da Rocha
|
R. da Rocha, E. Capelas de Oliveira, and C. H. Coimbra-Araujo
|
Perturbative self-interacting scalar field theory: a differential
equation approach
|
6 pages, Revtex, 13 figures
| null | null | null |
hep-th
| null |
We revisit the investigation about the partition function related to a
\phi^4-scalar field theory on a n-dimensional Minkowski spacetime, which is
shown to be a self-interacting scalar field theory at least in 4-dimensional
Minkowski spacetime. After rederiving the analytical calculation of the
perturbative expansion coefficients and also the approximate values for
suitable limits using Stirling's formulae, which consists of Witten's proposed
questions, solved by P. Deligne, D. Freed, L. Jeffrey, and S. Wu, we
investigate a spherically symmetric scalar field in a n-dimensional Minkowski
spacetime. For the first perturbative expansion coefficient it is shown how it
can be derived a modified Bessel equation (MBE), which solutions are
investigated in one, four, and eleven-dimensional Minkowski spacetime. The
solutions of MBE are the first expansion coefficient of the series associated
with the partition function of \phi^4-scalar field theory.
All results are depicted.
|
[
{
"created": "Fri, 26 Aug 2005 14:30:41 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Sep 2005 18:58:22 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Feb 2006 00:56:31 GMT",
"version": "v3"
}
] |
2016-09-06
|
[
[
"da Rocha",
"R.",
""
],
[
"de Oliveira",
"E. Capelas",
""
],
[
"Coimbra-Araujo",
"C. H.",
""
]
] |
We revisit the investigation about the partition function related to a \phi^4-scalar field theory on a n-dimensional Minkowski spacetime, which is shown to be a self-interacting scalar field theory at least in 4-dimensional Minkowski spacetime. After rederiving the analytical calculation of the perturbative expansion coefficients and also the approximate values for suitable limits using Stirling's formulae, which consists of Witten's proposed questions, solved by P. Deligne, D. Freed, L. Jeffrey, and S. Wu, we investigate a spherically symmetric scalar field in a n-dimensional Minkowski spacetime. For the first perturbative expansion coefficient it is shown how it can be derived a modified Bessel equation (MBE), which solutions are investigated in one, four, and eleven-dimensional Minkowski spacetime. The solutions of MBE are the first expansion coefficient of the series associated with the partition function of \phi^4-scalar field theory. All results are depicted.
| 11.514446
| 12.628323
| 12.026698
| 11.770159
| 13.016235
| 12.29452
| 11.6599
| 11.896094
| 11.937134
| 12.643582
| 12.209813
| 11.213959
| 11.653285
| 11.335781
| 11.446583
| 11.63916
| 11.498517
| 11.110377
| 11.711568
| 11.419689
| 11.080652
|
hep-th/0409008
|
Andrei Micu
|
Andrei Micu
|
Heterotic compactifications and nearly-Kahler manifolds
|
5 pages, references added, typos corrected
|
Phys.Rev. D70 (2004) 126002
|
10.1103/PhysRevD.70.126002
| null |
hep-th
| null |
We propose that under certain conditions heterotic string compactifications
on half-flat and nearly-Kahler manifolds are equivalent. Based on this
correspondence we argue that the moduli space of the nearly-Kahler manifolds
under discussion consists only of the Kahler deformations moduli space and
there is no correspondent for the complex structure deformations.
|
[
{
"created": "Wed, 1 Sep 2004 15:31:22 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Sep 2004 14:16:43 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Micu",
"Andrei",
""
]
] |
We propose that under certain conditions heterotic string compactifications on half-flat and nearly-Kahler manifolds are equivalent. Based on this correspondence we argue that the moduli space of the nearly-Kahler manifolds under discussion consists only of the Kahler deformations moduli space and there is no correspondent for the complex structure deformations.
| 10.203916
| 8.157617
| 10.943363
| 7.876886
| 9.345828
| 7.609128
| 9.417948
| 7.886996
| 7.994389
| 13.08385
| 7.925841
| 8.590971
| 10.202461
| 9.000153
| 8.729815
| 8.598834
| 9.131514
| 8.72183
| 8.934752
| 9.965765
| 8.842172
|
hep-th/9411086
|
Hideaki Aoyama
|
Hideaki Aoyama and Toshiyuki Harano
|
Complex-time approach for semi-classical quantum tunneling
|
9 pages + 3 figures, phyzzx and epsf macros (ps files attached)
|
Mod.Phys.Lett.A10:1135-1142,1995
|
10.1142/S0217732395001253
|
KUCP-0072/KUNS-1302
|
hep-th
| null |
The complex-time method for quantum tunneling is studied. In one-dimensional
quantum mechanics, we construct a reduction formula for a Green function in the
number of turning points based on the WKB approximation. This formula yields a
series, which can be interpreted as a sum over the complex-time paths. The
weights of the paths are determined.
|
[
{
"created": "Sat, 12 Nov 1994 03:45:09 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"Aoyama",
"Hideaki",
""
],
[
"Harano",
"Toshiyuki",
""
]
] |
The complex-time method for quantum tunneling is studied. In one-dimensional quantum mechanics, we construct a reduction formula for a Green function in the number of turning points based on the WKB approximation. This formula yields a series, which can be interpreted as a sum over the complex-time paths. The weights of the paths are determined.
| 14.695138
| 12.027308
| 13.566414
| 13.147819
| 14.08407
| 12.688701
| 13.210085
| 12.93557
| 12.041181
| 14.376173
| 12.148932
| 13.284215
| 13.18484
| 12.685032
| 12.522193
| 12.765486
| 12.879755
| 12.785686
| 13.122777
| 13.579264
| 12.741404
|
hep-th/9907010
|
Philippe Droz-Vincent
|
Philippe Droz-Vincent (Universite P. et M. Curie, Paris)
|
Two-Body Mass-Shell Constraints in a Constant Magnetic Field (Neutral
Case)
|
14 pages, LaTeX file, no figure
|
Int.J.Theor.Phys.39:389-403,2000
|
10.1023/A:1003696528314
|
GCR 99/07/01
|
hep-th math-ph math.MP
| null |
A constant homogeneous magnetic field is applied to a composite system made
of two scalar particles with opposite charges. Motion is described by a pair of
coupled Klein-Gordon equations that are written in closed form with help of a
suitable representation. The relativistic symmetry associated with the magnetic
field is carefully respected. Considering eigenstates of the pseudo momentum
four-vector, we separate out collective variables and obtain a 3- dimensional
reduced equation, posing a nonconventional eigenvalue problem. The velocity of
the system as a whole generates "motional" terms in the formulas these terms
are taken into account within a manifestly covariant framework.
|
[
{
"created": "Fri, 2 Jul 1999 17:05:23 GMT",
"version": "v1"
}
] |
2011-08-17
|
[
[
"Droz-Vincent",
"Philippe",
"",
"Universite P. et M. Curie, Paris"
]
] |
A constant homogeneous magnetic field is applied to a composite system made of two scalar particles with opposite charges. Motion is described by a pair of coupled Klein-Gordon equations that are written in closed form with help of a suitable representation. The relativistic symmetry associated with the magnetic field is carefully respected. Considering eigenstates of the pseudo momentum four-vector, we separate out collective variables and obtain a 3- dimensional reduced equation, posing a nonconventional eigenvalue problem. The velocity of the system as a whole generates "motional" terms in the formulas these terms are taken into account within a manifestly covariant framework.
| 23.905994
| 23.48608
| 24.694242
| 20.230188
| 23.968739
| 24.345612
| 26.260658
| 22.622351
| 24.204245
| 23.962088
| 21.338968
| 23.323635
| 22.135466
| 21.217903
| 23.160431
| 22.354097
| 22.560427
| 21.922367
| 21.409554
| 21.776623
| 22.597528
|
1006.3494
|
Valentina Giangreco M. Puletti Mrs
|
Valentina Giangreco M. Puletti
|
On string integrability. A journey through the two-dimensional hidden
symmetries in the AdS/CFT dualities
|
116 pages, 11 figures, to be published in Advances in High Energy
Physics, Special Issue on ''Gauge/String Duality''
|
Adv.High Energy Phys.2010:471238,2010
|
10.1155/2010/471238
|
NORDITA-2010-41
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
One of the main topics in the modern String Theory are the AdS/CFT dualities.
Proving such conjectures is extremely difficult since the gauge and string
theory perturbative regimes do not overlap. In this perspective, the discovery
of infinitely many conserved charges, i.e. the integrability, in the planar
AdS/CFT has allowed us to reach immense progresses in understanding and
confirming the duality. We review the fundamental concepts and properties of
integrability in two-dimensional sigma-models and in the AdS/CFT context. The
first part is focused on the AdS_5/CFT_4 duality, especially the classical and
quantum integrability of the type IIB superstring on AdS_5 x S^5 are discussed
in both pure spinor and Green-Schwarz formulations. The second part is
dedicated to the AdS_4/CFT_3 duality with particular attention to the type IIA
superstring on AdS_4 x CP^3 and its integrability. This review is based on a
shortened and revised version of the author's PhD thesis, discussed at Uppsala
University in September 2009.
|
[
{
"created": "Thu, 17 Jun 2010 15:30:07 GMT",
"version": "v1"
}
] |
2014-11-21
|
[
[
"Puletti",
"Valentina Giangreco M.",
""
]
] |
One of the main topics in the modern String Theory are the AdS/CFT dualities. Proving such conjectures is extremely difficult since the gauge and string theory perturbative regimes do not overlap. In this perspective, the discovery of infinitely many conserved charges, i.e. the integrability, in the planar AdS/CFT has allowed us to reach immense progresses in understanding and confirming the duality. We review the fundamental concepts and properties of integrability in two-dimensional sigma-models and in the AdS/CFT context. The first part is focused on the AdS_5/CFT_4 duality, especially the classical and quantum integrability of the type IIB superstring on AdS_5 x S^5 are discussed in both pure spinor and Green-Schwarz formulations. The second part is dedicated to the AdS_4/CFT_3 duality with particular attention to the type IIA superstring on AdS_4 x CP^3 and its integrability. This review is based on a shortened and revised version of the author's PhD thesis, discussed at Uppsala University in September 2009.
| 5.288981
| 5.235297
| 6.176015
| 4.882854
| 5.095378
| 5.270604
| 5.183621
| 4.846515
| 5.048226
| 5.977192
| 4.969657
| 4.856716
| 5.114985
| 4.838264
| 5.011281
| 4.910631
| 4.930571
| 4.810647
| 4.903553
| 5.416527
| 4.945488
|
1612.02708
|
Marcus Spradlin
|
Tristan Dennen, Igor Prlina, Marcus Spradlin, Stefan Stanojevic,
Anastasia Volovich
|
Landau Singularities from the Amplituhedron
|
34 pages, 16 figures; v2: minor corrections and improvements
| null |
10.1007/JHEP06(2017)152
|
Brown-HET-1701
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a simple geometric algorithm for determining the complete set of
branch points of amplitudes in planar N=4 super-Yang-Mills theory directly from
the amplituhedron, without resorting to any particular representation in terms
of local Feynman integrals. This represents a step towards translating
integrands directly into integrals. In particular, the algorithm provides
information about the symbol alphabets of general amplitudes. We illustrate the
algorithm applied to the one- and two-loop MHV amplitudes.
|
[
{
"created": "Thu, 8 Dec 2016 16:10:55 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Jun 2017 02:50:39 GMT",
"version": "v2"
}
] |
2017-08-02
|
[
[
"Dennen",
"Tristan",
""
],
[
"Prlina",
"Igor",
""
],
[
"Spradlin",
"Marcus",
""
],
[
"Stanojevic",
"Stefan",
""
],
[
"Volovich",
"Anastasia",
""
]
] |
We propose a simple geometric algorithm for determining the complete set of branch points of amplitudes in planar N=4 super-Yang-Mills theory directly from the amplituhedron, without resorting to any particular representation in terms of local Feynman integrals. This represents a step towards translating integrands directly into integrals. In particular, the algorithm provides information about the symbol alphabets of general amplitudes. We illustrate the algorithm applied to the one- and two-loop MHV amplitudes.
| 7.403776
| 6.546265
| 7.604955
| 6.300952
| 6.906689
| 6.376064
| 6.14187
| 5.874382
| 6.5599
| 8.462374
| 6.582952
| 7.033646
| 6.880663
| 6.317898
| 6.559803
| 6.761141
| 6.440921
| 6.700128
| 6.578451
| 7.226856
| 6.661023
|
1107.2063
|
Bindusar Sahoo
|
Arjun Bagchi, Shailesh Lal, Arunabha Saha, Bindusar Sahoo
|
One loop partition function for Topologically Massive Higher Spin
Gravity
|
16 pages, latex, minor modifications, calculation for generic spins
corrected. results qualitatively unchanged
|
JHEP12(2011)068
|
10.1007/JHEP12(2011)068
|
EMPG-11-21, HRI/ST/1110
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the one loop partition function for topologically massive higher
spin gravity (TMHSG) for arbitrary spin by taking the spin-3 TMHSG action
constructed in arXiv:1107.0915 and subsequently generalising it for an
arbitrary spin. We find that the final result can be put into a product form
which cannot be holomorphically factorized giving strong evidence that the
topologically massive higher spin gravity is dual to a high spin extension of
logarithmic CFT rather than a chiral one.
|
[
{
"created": "Mon, 11 Jul 2011 15:47:50 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Sep 2011 12:42:51 GMT",
"version": "v2"
}
] |
2013-01-14
|
[
[
"Bagchi",
"Arjun",
""
],
[
"Lal",
"Shailesh",
""
],
[
"Saha",
"Arunabha",
""
],
[
"Sahoo",
"Bindusar",
""
]
] |
We calculate the one loop partition function for topologically massive higher spin gravity (TMHSG) for arbitrary spin by taking the spin-3 TMHSG action constructed in arXiv:1107.0915 and subsequently generalising it for an arbitrary spin. We find that the final result can be put into a product form which cannot be holomorphically factorized giving strong evidence that the topologically massive higher spin gravity is dual to a high spin extension of logarithmic CFT rather than a chiral one.
| 10.206398
| 8.754299
| 12.368855
| 9.312114
| 8.687243
| 8.922902
| 9.033704
| 9.11543
| 9.046883
| 10.885731
| 8.968776
| 8.837799
| 10.011957
| 8.938082
| 9.24488
| 8.909111
| 9.187352
| 8.800558
| 9.026953
| 10.929199
| 8.965415
|
1312.6887
|
Veronika E. Hubeny
|
Veronika E. Hubeny, Henry Maxfield
|
Holographic probes of collapsing black holes
|
44 pages + appendices, 21 figures; v2: references added, improved
Discussion; v3: minor typos corrected, matches the published version
| null |
10.1007/JHEP03(2014)097
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We continue the programme of exploring the means of holographically decoding
the geometry of spacetime inside a black hole using the gauge/gravity
correspondence. To this end, we study the behaviour of certain extremal
surfaces (focusing on those relevant for equal-time correlators and
entanglement entropy in the dual CFT) in a dynamically evolving asymptotically
AdS spacetime, specifically examining how deep such probes reach. To highlight
the novel effects of putting the system far out of equilibrium and at finite
volume, we consider spherically symmetric Vaidya-AdS, describing black hole
formation by gravitational collapse of a null shell, which provides a
convenient toy model of a quantum quench in the field theory. Extremal surfaces
anchored on the boundary exhibit rather rich behaviour, whose features depend
on dimension of both the spacetime and the surface, as well as on the anchoring
region. The main common feature is that they reach inside the horizon even in
the post-collapse part of the geometry. In 3-dimensional spacetime, we find
that for sub-AdS-sized black holes, the entire spacetime is accessible by the
restricted class of geodesics whereas in larger black holes a small region near
the imploding shell cannot be reached by any boundary-anchored geodesic. In
higher dimensions, the deepest reach is attained by geodesics which (despite
being asymmetric) connect equal time and antipodal boundary points soon after
the collapse; these can attain spacetime regions of arbitrarily high curvature
and simultaneously have smallest length. Higher-dimensional surfaces can
penetrate the horizon while anchored on the boundary at arbitrarily late times,
but are bounded away from the singularity. We also study the details of length
or area growth during thermalization. While the area of extremal surfaces
increases monotonically, geodesic length is neither monotonic nor continuous.
|
[
{
"created": "Tue, 24 Dec 2013 20:44:02 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jan 2014 18:44:05 GMT",
"version": "v2"
},
{
"created": "Sat, 29 Mar 2014 12:36:11 GMT",
"version": "v3"
}
] |
2015-06-18
|
[
[
"Hubeny",
"Veronika E.",
""
],
[
"Maxfield",
"Henry",
""
]
] |
We continue the programme of exploring the means of holographically decoding the geometry of spacetime inside a black hole using the gauge/gravity correspondence. To this end, we study the behaviour of certain extremal surfaces (focusing on those relevant for equal-time correlators and entanglement entropy in the dual CFT) in a dynamically evolving asymptotically AdS spacetime, specifically examining how deep such probes reach. To highlight the novel effects of putting the system far out of equilibrium and at finite volume, we consider spherically symmetric Vaidya-AdS, describing black hole formation by gravitational collapse of a null shell, which provides a convenient toy model of a quantum quench in the field theory. Extremal surfaces anchored on the boundary exhibit rather rich behaviour, whose features depend on dimension of both the spacetime and the surface, as well as on the anchoring region. The main common feature is that they reach inside the horizon even in the post-collapse part of the geometry. In 3-dimensional spacetime, we find that for sub-AdS-sized black holes, the entire spacetime is accessible by the restricted class of geodesics whereas in larger black holes a small region near the imploding shell cannot be reached by any boundary-anchored geodesic. In higher dimensions, the deepest reach is attained by geodesics which (despite being asymmetric) connect equal time and antipodal boundary points soon after the collapse; these can attain spacetime regions of arbitrarily high curvature and simultaneously have smallest length. Higher-dimensional surfaces can penetrate the horizon while anchored on the boundary at arbitrarily late times, but are bounded away from the singularity. We also study the details of length or area growth during thermalization. While the area of extremal surfaces increases monotonically, geodesic length is neither monotonic nor continuous.
| 11.574229
| 11.955015
| 12.685328
| 10.93331
| 12.077745
| 11.432676
| 11.847148
| 11.503582
| 11.452551
| 13.125606
| 11.213515
| 11.500605
| 11.802227
| 11.250862
| 11.193172
| 11.209527
| 11.441459
| 11.221707
| 11.021065
| 11.596025
| 11.063607
|
1709.10463
|
Dean Carmi
|
Dean Carmi
|
More on Holographic Volumes, Entanglement, and Complexity
|
19 pages, 6 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by the holographic prescriptions for computing entanglement entropy
and complexity, we study the properties of volumes/areas of bulk surfaces. We
obtain a simple formula for the shape dependence of holographic entanglement
entropy in terms of a certain integral over the entangling surface. This easily
generalizes to any bulk codimension-$p$ extremal surface. We study additional
properties of bulk codimension-$p$ extremal surfaces corresponding to
strip/plane "entangling surfaces" in various geometries. We compute universal
terms for codim-one volumes (conjectured to be dual to holographic subregion
complexity) arising from performing relevant deformations. Finally, we describe
several interesting bulk surface constructions which are presumably related to
holographic complexity.
|
[
{
"created": "Fri, 29 Sep 2017 15:49:29 GMT",
"version": "v1"
}
] |
2017-10-02
|
[
[
"Carmi",
"Dean",
""
]
] |
Motivated by the holographic prescriptions for computing entanglement entropy and complexity, we study the properties of volumes/areas of bulk surfaces. We obtain a simple formula for the shape dependence of holographic entanglement entropy in terms of a certain integral over the entangling surface. This easily generalizes to any bulk codimension-$p$ extremal surface. We study additional properties of bulk codimension-$p$ extremal surfaces corresponding to strip/plane "entangling surfaces" in various geometries. We compute universal terms for codim-one volumes (conjectured to be dual to holographic subregion complexity) arising from performing relevant deformations. Finally, we describe several interesting bulk surface constructions which are presumably related to holographic complexity.
| 11.645036
| 10.955162
| 13.031034
| 10.363317
| 10.530747
| 11.886659
| 11.548025
| 10.388934
| 10.137436
| 14.197436
| 10.47489
| 11.402111
| 12.362064
| 11.490649
| 11.275834
| 10.660176
| 11.175754
| 10.795843
| 10.912515
| 12.368907
| 11.088461
|
hep-th/0603063
|
Aalok Misra
|
Kanishka Belani, Payal Kaura and Aalok Misra
|
Supersymmetry of Noncompact MQCD-like Membrane Instantons and Heat
Kernel Asymptotics
|
21 pages, LaTeX; v3: several clarifying remarks added, to appear in
JHEP
|
JHEP0610:023,2006
|
10.1088/1126-6708/2006/10/023
| null |
hep-th
| null |
We perform a heat kernel asymptotics analysis of the nonperturbative
superpotential obtained from wrapping of an M2-brane around a supersymmetric
noncompact three-fold embedded in a (noncompact) G_2-manifold as obtained in
[1], the three-fold being the one relevant to domain walls in Witten's MQCD
[2], in the limit of small "zeta", a complex constant that appears in the
Riemann surfaces relevant to defining the boundary conditions for the domain
wall in MQCD. The MQCD-like configuration is interpretable, for small but
non-zero zeta as a noncompact/"large" open membrane instanton, and for
vanishing zeta, as the type IIA D0-brane (for vanishing M-theory cicle radius).
We find that the eta-function Seeley de-Witt coefficients vanish, and we get a
perfect match between the zeta-function Seeley de-Witt coefficients (up to
terms quadratic in zeta) between the Dirac-type operator and one of the two
Laplace-type operators figuring in the superpotential. This is an extremely
strong signature of residual supersymmetry for the nonperturbative
configurations in M-theory considered in this work.
|
[
{
"created": "Wed, 8 Mar 2006 14:08:35 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Mar 2006 10:26:02 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Sep 2006 17:53:11 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Belani",
"Kanishka",
""
],
[
"Kaura",
"Payal",
""
],
[
"Misra",
"Aalok",
""
]
] |
We perform a heat kernel asymptotics analysis of the nonperturbative superpotential obtained from wrapping of an M2-brane around a supersymmetric noncompact three-fold embedded in a (noncompact) G_2-manifold as obtained in [1], the three-fold being the one relevant to domain walls in Witten's MQCD [2], in the limit of small "zeta", a complex constant that appears in the Riemann surfaces relevant to defining the boundary conditions for the domain wall in MQCD. The MQCD-like configuration is interpretable, for small but non-zero zeta as a noncompact/"large" open membrane instanton, and for vanishing zeta, as the type IIA D0-brane (for vanishing M-theory cicle radius). We find that the eta-function Seeley de-Witt coefficients vanish, and we get a perfect match between the zeta-function Seeley de-Witt coefficients (up to terms quadratic in zeta) between the Dirac-type operator and one of the two Laplace-type operators figuring in the superpotential. This is an extremely strong signature of residual supersymmetry for the nonperturbative configurations in M-theory considered in this work.
| 12.855268
| 12.789598
| 15.324412
| 12.740835
| 13.594168
| 14.129316
| 13.814989
| 13.716751
| 12.654206
| 15.641618
| 12.046223
| 12.437602
| 13.138443
| 12.486023
| 12.951828
| 12.319516
| 12.457804
| 12.541955
| 12.640387
| 12.701331
| 12.278825
|
hep-th/9401037
| null |
D. R. Grigore
|
Hamiltonian Mechanics in 1+2 Dimensions
|
LATEX, #15 pages, IFA-FT-392-1994, January
| null | null | null |
hep-th
| null |
A complete list of all transitive symplectic manifolds of the Poincar\'e and
Galilei group in 1+2 dimensions is given.
|
[
{
"created": "Mon, 10 Jan 1994 11:53:00 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Grigore",
"D. R.",
""
]
] |
A complete list of all transitive symplectic manifolds of the Poincar\'e and Galilei group in 1+2 dimensions is given.
| 17.622477
| 12.435271
| 10.011663
| 10.235941
| 9.647397
| 11.419559
| 12.963709
| 7.409755
| 9.929752
| 10.924047
| 10.304877
| 7.916567
| 9.134183
| 8.148789
| 8.604902
| 9.094369
| 7.883458
| 8.35616
| 8.929204
| 9.160008
| 7.950604
|
1508.02329
|
Romanczukiewicz Tomasz Ph.D.
|
Patrick Dorey, Aliaksei Halavanau, James Mercer, Tomasz
Romanczukiewicz and Yasha Shnir
|
Boundary scattering in the phi^4 model
|
pdflatex, 24 pages + 17 figures + 13 movies v2: significant extra
material and new figures. Additional movies included
| null | null |
DCPT-15/51
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study boundary scattering in the $\phi^4$ model on a half-line with a
one-parameter family of Neumann-type boundary conditions. A rich variety of
phenomena is observed, which extends previously-studied behaviour on the full
line to include regimes of near-elastic scattering, the restoration of a
missing scattering window, and the creation of a kink or oscillon through the
collision-induced decay of a metastable boundary state. We also study the decay
of the vibrational boundary mode, and explore different scenarios for its
relaxation and for the creation of kinks.
|
[
{
"created": "Mon, 10 Aug 2015 17:26:05 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Jan 2017 20:38:16 GMT",
"version": "v2"
}
] |
2017-01-11
|
[
[
"Dorey",
"Patrick",
""
],
[
"Halavanau",
"Aliaksei",
""
],
[
"Mercer",
"James",
""
],
[
"Romanczukiewicz",
"Tomasz",
""
],
[
"Shnir",
"Yasha",
""
]
] |
We study boundary scattering in the $\phi^4$ model on a half-line with a one-parameter family of Neumann-type boundary conditions. A rich variety of phenomena is observed, which extends previously-studied behaviour on the full line to include regimes of near-elastic scattering, the restoration of a missing scattering window, and the creation of a kink or oscillon through the collision-induced decay of a metastable boundary state. We also study the decay of the vibrational boundary mode, and explore different scenarios for its relaxation and for the creation of kinks.
| 16.79723
| 14.053724
| 17.984568
| 15.272011
| 15.270419
| 14.811948
| 15.546121
| 13.535892
| 14.123017
| 19.758305
| 14.430774
| 15.023863
| 16.900646
| 14.724882
| 13.931536
| 14.177052
| 13.653671
| 14.501399
| 15.162031
| 17.340702
| 14.101834
|
hep-th/9611045
|
Schubert
|
Michael G. Schmidt, Christian Schubert
|
Multiloop Feynman Integrals in the Worldline Approach
|
6 pages, standard Latex, no figures, talk given by M.G. Schmidt at
the International Seminar and Conference on Path Integrals, Dubna, Russia, 27
- 31 May 1996
| null | null |
HD-THEP-96/44, HUB-EP-96/29
|
hep-th
| null |
We explain the concept of worldline Green functions on classes of multiloop
graphs. The QED beta function and the 2-loop Euler-Heisenberg Lagrangian are
discussed for illustration.
|
[
{
"created": "Thu, 7 Nov 1996 21:23:50 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Schmidt",
"Michael G.",
""
],
[
"Schubert",
"Christian",
""
]
] |
We explain the concept of worldline Green functions on classes of multiloop graphs. The QED beta function and the 2-loop Euler-Heisenberg Lagrangian are discussed for illustration.
| 17.212524
| 12.473529
| 15.832801
| 13.694377
| 12.218275
| 12.936782
| 12.984227
| 12.402938
| 12.003386
| 15.487432
| 12.772506
| 14.295279
| 14.441727
| 13.290583
| 14.08864
| 14.469181
| 14.222213
| 14.388576
| 12.615675
| 14.035323
| 13.831991
|
hep-th/9602079
|
Ivanov Evgenyi
|
Evgeny A. Ivanov
|
Harmonic Superspace: Some New Trends
|
11 pages, LaTeX, Talk given at the 1st Joint JINR-ROC (Taiwan)
Workshop ``Intermediate and High Energy Physics'', June 26-28, 1995, Dubna,
Russia (to be published in Chinese Journal of Physics)
|
Chin.J.Phys.34:862-873,1996
| null | null |
hep-th
| null |
We give a brief account of two recent applications of the harmonic superspace
method: (i) an off-shell description of torsionful $(4,4)$ supersymmetric $2D$
sigma models in the framework of $SU(2)\times SU(2)$ harmonic superspace and
(ii) the harmonic superspace formulation of ``small'' $N=4$ $SU(2)$
superconformal algebra and the related super KdV hierarchy.
|
[
{
"created": "Thu, 15 Feb 1996 16:32:45 GMT",
"version": "v1"
}
] |
2011-04-15
|
[
[
"Ivanov",
"Evgeny A.",
""
]
] |
We give a brief account of two recent applications of the harmonic superspace method: (i) an off-shell description of torsionful $(4,4)$ supersymmetric $2D$ sigma models in the framework of $SU(2)\times SU(2)$ harmonic superspace and (ii) the harmonic superspace formulation of ``small'' $N=4$ $SU(2)$ superconformal algebra and the related super KdV hierarchy.
| 7.382264
| 5.232484
| 7.610632
| 5.848681
| 5.683041
| 5.473851
| 5.427931
| 5.487227
| 5.857901
| 8.59414
| 5.805515
| 6.213392
| 7.328762
| 6.262329
| 6.238684
| 6.390242
| 6.044371
| 6.616981
| 6.332435
| 6.660159
| 6.313159
|
hep-th/9705150
|
Ingo Gaida
|
Ingo Gaida (University of Pennsylvania)
|
Gauge Symmetry Enhancement and N = 2 Supersymmetric Quantum Black Holes
in Heterotic String Vacua
|
20 pages, final revised version
|
Nucl.Phys. B514 (1998) 227-241
|
10.1016/S0550-3213(97)00744-X
|
UPR-753-T
|
hep-th
| null |
N=2 supersymmetric quantum black holes in the heterotic S-T-U model are
presented. In particular three classes of axion-free quantum black holes with
half the N=2, D=4 supersymmetries unbroken are considered. First, these quantum
black holes are investigated at generic points in moduli space. Then linearized
non-abelian black holes are investigated representing a subset of non-abelian
black hole solutions at critical points of perturbative gauge symmetry
enhancement in moduli space. It is shown that the entropy of linearized
non-abelian black holes can be obtained, starting at non-critical points in
moduli space, by continuous variation of the moduli and a proper identification
of the non-abelian charges.
|
[
{
"created": "Tue, 20 May 1997 21:41:35 GMT",
"version": "v1"
},
{
"created": "Thu, 22 May 1997 14:26:36 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Nov 1997 11:22:27 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Gaida",
"Ingo",
"",
"University of Pennsylvania"
]
] |
N=2 supersymmetric quantum black holes in the heterotic S-T-U model are presented. In particular three classes of axion-free quantum black holes with half the N=2, D=4 supersymmetries unbroken are considered. First, these quantum black holes are investigated at generic points in moduli space. Then linearized non-abelian black holes are investigated representing a subset of non-abelian black hole solutions at critical points of perturbative gauge symmetry enhancement in moduli space. It is shown that the entropy of linearized non-abelian black holes can be obtained, starting at non-critical points in moduli space, by continuous variation of the moduli and a proper identification of the non-abelian charges.
| 9.293974
| 7.882411
| 9.831196
| 7.959826
| 7.661013
| 8.523504
| 7.999878
| 7.594111
| 7.942338
| 9.90405
| 7.771322
| 7.899778
| 8.527525
| 8.183329
| 8.332561
| 8.243671
| 8.239889
| 8.438025
| 8.471604
| 8.94682
| 8.113244
|
1505.05011
|
Jelle Hartong
|
Jelle Hartong
|
Gauging the Carroll Algebra and Ultra-Relativistic Gravity
|
27 pages
| null |
10.1007/JHEP08(2015)069
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is well known that the geometrical framework of Riemannian geometry that
underlies general relativity and its torsionful extension to Riemann-Cartan
geometry can be obtained from a procedure known as gauging the Poincare
algebra. Recently it has been shown that gauging the centrally extended Galilei
algebra, known as the Bargmann algebra, leads to a geometrical framework that
when made dynamical gives rise to Horava-Lifshitz gravity. Here we consider the
case where we contract the Poincare algebra by sending the speed of light to
zero leading to the Carroll algebra. We show how this algebra can be gauged and
we construct the most general affine connection leading to the geometry of
so-called Carrollian space-times. Carrollian space-times appear for example as
the geometry on null hypersurfaces in a Lorentzian space-time of one dimension
higher. We also construct theories of ultra-relativistic (Carrollian) gravity
in 2+1 dimensions with dynamical exponent z<1 including cases that have
anisotropic Weyl invariance for z=0.
|
[
{
"created": "Tue, 19 May 2015 14:25:48 GMT",
"version": "v1"
}
] |
2015-09-30
|
[
[
"Hartong",
"Jelle",
""
]
] |
It is well known that the geometrical framework of Riemannian geometry that underlies general relativity and its torsionful extension to Riemann-Cartan geometry can be obtained from a procedure known as gauging the Poincare algebra. Recently it has been shown that gauging the centrally extended Galilei algebra, known as the Bargmann algebra, leads to a geometrical framework that when made dynamical gives rise to Horava-Lifshitz gravity. Here we consider the case where we contract the Poincare algebra by sending the speed of light to zero leading to the Carroll algebra. We show how this algebra can be gauged and we construct the most general affine connection leading to the geometry of so-called Carrollian space-times. Carrollian space-times appear for example as the geometry on null hypersurfaces in a Lorentzian space-time of one dimension higher. We also construct theories of ultra-relativistic (Carrollian) gravity in 2+1 dimensions with dynamical exponent z<1 including cases that have anisotropic Weyl invariance for z=0.
| 5.673606
| 5.683722
| 6.201785
| 5.647416
| 5.883115
| 6.521012
| 5.404225
| 6.1633
| 5.536893
| 7.102428
| 5.624773
| 5.54995
| 5.760433
| 5.754759
| 5.716448
| 5.828383
| 5.557818
| 5.762204
| 5.527558
| 5.865241
| 5.718332
|
0710.4343
|
Sergey Klishevich
|
Sergey Klishevich
|
Matrix equations and trilinear commutation relations
|
10 pages, an incorrect claim is removed, one reference is added
|
Class.Quant.Grav.25:095003,2008
|
10.1088/0264-9381/25/9/095003
| null |
hep-th math-ph math.MP
| null |
In this paper we discuss a general algebraic approach to treating static
equations of matrix models with a mass-like term. In this approach the
equations of motions are considered as consequence of parafermi-like trilinear
commutation relations. In this context we consider several solutions, including
construction of noncommutative spheres. The equivalence of fuzzy spheres and
parafermions is underlined.
|
[
{
"created": "Tue, 23 Oct 2007 21:03:53 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Dec 2007 16:10:09 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Klishevich",
"Sergey",
""
]
] |
In this paper we discuss a general algebraic approach to treating static equations of matrix models with a mass-like term. In this approach the equations of motions are considered as consequence of parafermi-like trilinear commutation relations. In this context we consider several solutions, including construction of noncommutative spheres. The equivalence of fuzzy spheres and parafermions is underlined.
| 21.598164
| 17.987568
| 22.347872
| 16.260107
| 18.571091
| 18.209318
| 19.67518
| 17.282032
| 17.785711
| 26.006565
| 18.051861
| 18.261738
| 19.805738
| 17.475252
| 17.239435
| 17.076117
| 18.16354
| 17.211323
| 17.730263
| 19.458397
| 17.678188
|
1911.04545
|
Georgy Prokhorov
|
Georgy Y. Prokhorov, Oleg V. Teryaev and Valentin I. Zakharov
|
Unruh effect universality: emergent conical geometry from density
operator
|
26 pages, 1 figure
| null |
10.1007/JHEP03(2020)137
| null |
hep-th gr-qc nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Unruh effect has been investigated from the point of view of the quantum
statistical Zubarev density operator in space with the Minkowski metric.
Quantum corrections of the fourth order in acceleration to the energy-momentum
tensor of real and complex scalar fields, and Dirac field are calculated. Both
massless and massive fields are considered. The method for regularization of
discovered infrared divergences for scalar fields is proposed. The calculated
corrections make it possible to substantiate the Unruh effect from the point of
view of the statistical approach, and to explicitly show its universality for
various quantum field theories of massless and massive fields. The obtained
results exactly coincide with the ones obtained earlier by calculation of the
vacuum average of energy-momentum tensor in a space with a conical singularity.
Thus, the duality of two methods for describing an accelerated medium is
substantiated. One may also speak about the emergence of geometry with conical
singularity from thermodynamics. In particular, the polynomiality of the
energy-momentum tensor and the absence of higher-order corrections in
acceleration can be explicitly demonstrated.
|
[
{
"created": "Mon, 11 Nov 2019 20:03:41 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Feb 2020 14:59:14 GMT",
"version": "v2"
}
] |
2020-04-22
|
[
[
"Prokhorov",
"Georgy Y.",
""
],
[
"Teryaev",
"Oleg V.",
""
],
[
"Zakharov",
"Valentin I.",
""
]
] |
The Unruh effect has been investigated from the point of view of the quantum statistical Zubarev density operator in space with the Minkowski metric. Quantum corrections of the fourth order in acceleration to the energy-momentum tensor of real and complex scalar fields, and Dirac field are calculated. Both massless and massive fields are considered. The method for regularization of discovered infrared divergences for scalar fields is proposed. The calculated corrections make it possible to substantiate the Unruh effect from the point of view of the statistical approach, and to explicitly show its universality for various quantum field theories of massless and massive fields. The obtained results exactly coincide with the ones obtained earlier by calculation of the vacuum average of energy-momentum tensor in a space with a conical singularity. Thus, the duality of two methods for describing an accelerated medium is substantiated. One may also speak about the emergence of geometry with conical singularity from thermodynamics. In particular, the polynomiality of the energy-momentum tensor and the absence of higher-order corrections in acceleration can be explicitly demonstrated.
| 9.298329
| 9.563643
| 9.547355
| 8.746536
| 9.804551
| 9.368258
| 9.173088
| 9.6407
| 9.124907
| 10.345546
| 9.476948
| 9.499778
| 9.442245
| 9.264995
| 9.480182
| 9.28577
| 9.477115
| 9.401195
| 9.393199
| 9.6373
| 9.255772
|
0911.1168
|
Yuri Gusev
|
A. O. Barvinsky, Yu. V. Gusev, V. V. Zhytnikov, G. A. Vilkovisky
|
Covariant Perturbation Theory (IV). Third Order in the Curvature
|
This paper appeared in February 1993 as the University of Manitoba
report, SPIRES-HEP: PRINT-93-0274 (MANITOBA). The purpose of the present
publication is to make it more accessible. As compared to the original text,
a minor error in the Appendix is corrected. Mathematica files with the
results of this paper are included in the source file
| null | null |
SPIRES-HEP: PRINT-93-0274 (MANITOBA)
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The trace of the heat kernel and the one-loop effective action for the
generic differential operator are calculated to third order in the background
curvatures: the Riemann curvature, the commutator curvature and the potential.
In the case of effective action, this is equivalent to a calculation (in the
covariant form) of the one-loop vertices in all models of gravitating fields.
The basis of nonlocal invariants of third order in the curvature is built, and
constraints arising between these invariants in low-dimensional manifolds are
obtained. All third-order form factors in the heat kernel and effective action
are calculated, and several integral representations for them are obtained. In
the case of effective action, this includes a specially generalized spectral
representation used in applications to the expectation-value equations. The
results for the heat kernel are checked by deriving all the known coefficients
of the Schwinger-DeWitt expansion including $a_3$ and the cubic terms of $a_4$.
The results for the effective action are checked by deriving the trace anomaly
in two and four dimensions. In four dimensions, this derivation is carried out
by several different techniques elucidating the mechanism by which the local
anomaly emerges from the nonlocal action. In two dimensions, it is shown by a
direct calculation that the series for the effective action terminates at
second order in the curvature. The asymptotic behaviours of the form factors
are calculated including the late-time behaviour in the heat kernel and the
small-$\Box$ behaviour in the effective action. In quantum gravity, the latter
behaviour contains the effects of vacuum radiation including the Hawking
effect.
|
[
{
"created": "Fri, 6 Nov 2009 03:01:43 GMT",
"version": "v1"
}
] |
2010-08-11
|
[
[
"Barvinsky",
"A. O.",
""
],
[
"Gusev",
"Yu. V.",
""
],
[
"Zhytnikov",
"V. V.",
""
],
[
"Vilkovisky",
"G. A.",
""
]
] |
The trace of the heat kernel and the one-loop effective action for the generic differential operator are calculated to third order in the background curvatures: the Riemann curvature, the commutator curvature and the potential. In the case of effective action, this is equivalent to a calculation (in the covariant form) of the one-loop vertices in all models of gravitating fields. The basis of nonlocal invariants of third order in the curvature is built, and constraints arising between these invariants in low-dimensional manifolds are obtained. All third-order form factors in the heat kernel and effective action are calculated, and several integral representations for them are obtained. In the case of effective action, this includes a specially generalized spectral representation used in applications to the expectation-value equations. The results for the heat kernel are checked by deriving all the known coefficients of the Schwinger-DeWitt expansion including $a_3$ and the cubic terms of $a_4$. The results for the effective action are checked by deriving the trace anomaly in two and four dimensions. In four dimensions, this derivation is carried out by several different techniques elucidating the mechanism by which the local anomaly emerges from the nonlocal action. In two dimensions, it is shown by a direct calculation that the series for the effective action terminates at second order in the curvature. The asymptotic behaviours of the form factors are calculated including the late-time behaviour in the heat kernel and the small-$\Box$ behaviour in the effective action. In quantum gravity, the latter behaviour contains the effects of vacuum radiation including the Hawking effect.
| 9.67473
| 10.05237
| 9.754665
| 9.049441
| 10.23606
| 9.587054
| 10.417768
| 9.28089
| 10.027743
| 10.491851
| 9.508695
| 9.334297
| 9.361878
| 9.265597
| 9.698315
| 9.62824
| 9.473746
| 9.362657
| 9.30921
| 9.52188
| 9.596842
|
hep-th/9903081
|
Takashi Yokono
|
Toshihiro Matsuo and Takashi Yokono
|
String creation in D6-brane background
|
11 pages, 1 figure, typos corrected
|
Mod.Phys.Lett.A14:1175-1182,1999
|
10.1142/S0217732399001267
|
OU-HET 314
|
hep-th
| null |
The production of string charge during a crossing of certain oriented
D-branes is studied. We compute the string charge in the system of a probe
D2-brane and a background D6-brane by use of the equations of motion in the
ten-dimensions. We confirm the creation of string charge as inflow from the
background D6-brane.
|
[
{
"created": "Wed, 10 Mar 1999 12:05:51 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Apr 1999 12:56:07 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Matsuo",
"Toshihiro",
""
],
[
"Yokono",
"Takashi",
""
]
] |
The production of string charge during a crossing of certain oriented D-branes is studied. We compute the string charge in the system of a probe D2-brane and a background D6-brane by use of the equations of motion in the ten-dimensions. We confirm the creation of string charge as inflow from the background D6-brane.
| 14.081578
| 11.668573
| 12.829594
| 10.963709
| 11.337262
| 11.905287
| 12.14112
| 11.819296
| 11.259489
| 15.60822
| 12.083713
| 11.67837
| 12.368845
| 11.762948
| 12.063164
| 11.468281
| 11.614574
| 11.164244
| 11.506043
| 11.567176
| 11.651776
|
0909.2558
|
Jean-Luc Lehners
|
Jean-Luc Lehners and Paul J. Steinhardt
|
Non-Gaussianity Generated by the Entropic Mechanism in Bouncing
Cosmologies Made Simple
|
9 pages, 1 figure
|
Phys.Rev.D80:103520,2009
|
10.1103/PhysRevD.80.103520
| null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Non-gaussianity in the microwave background radiation is bound to play a key
role in giving us clues about the physics of the very early universe. However,
the associated calculations, at second and even third order in perturbation
theory, tend to be complicated to the point of obscuring simple underlying
physical processes. In this note, we present a simple analytic procedure for
approximating the non-linearity parameters f_{NL} and g_{NL} for cyclic models
in which the cosmological perturbations are generated via the entropic
mechanism. Our approach is quick, physically transparent and agrees well with
the results of numerical calculations.
|
[
{
"created": "Mon, 14 Sep 2009 14:51:33 GMT",
"version": "v1"
}
] |
2011-03-10
|
[
[
"Lehners",
"Jean-Luc",
""
],
[
"Steinhardt",
"Paul J.",
""
]
] |
Non-gaussianity in the microwave background radiation is bound to play a key role in giving us clues about the physics of the very early universe. However, the associated calculations, at second and even third order in perturbation theory, tend to be complicated to the point of obscuring simple underlying physical processes. In this note, we present a simple analytic procedure for approximating the non-linearity parameters f_{NL} and g_{NL} for cyclic models in which the cosmological perturbations are generated via the entropic mechanism. Our approach is quick, physically transparent and agrees well with the results of numerical calculations.
| 8.411027
| 7.728164
| 8.065318
| 7.158374
| 7.544805
| 7.500757
| 7.291027
| 7.689298
| 7.420398
| 7.937552
| 7.143291
| 7.891751
| 7.513191
| 7.429203
| 7.453134
| 7.616267
| 7.418901
| 7.429676
| 7.298983
| 7.670471
| 7.528062
|
hep-th/9912062
|
R. Padma
|
H. Gopalkrishna Gadiyar
|
General Relativity + Quantum mechanics --> Discretized Momentum
|
3 pages
| null | null |
GAD-1/99
|
hep-th
| null |
The analogy between General Relativity and monopole physics is pointed out
and the presence of a 3-cocycle which corresponds to a source leads to
discretization of field momentum. This is analogous to the same phenomena in
monopole physics.
|
[
{
"created": "Wed, 8 Dec 1999 10:35:50 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Gadiyar",
"H. Gopalkrishna",
""
]
] |
The analogy between General Relativity and monopole physics is pointed out and the presence of a 3-cocycle which corresponds to a source leads to discretization of field momentum. This is analogous to the same phenomena in monopole physics.
| 20.306305
| 18.971844
| 19.371183
| 15.726501
| 18.827549
| 17.969385
| 18.631893
| 19.2449
| 18.205399
| 18.477985
| 17.260874
| 17.21809
| 18.319025
| 18.206018
| 17.302765
| 18.391811
| 18.370478
| 16.65481
| 19.185637
| 18.654161
| 18.120241
|
2402.11017
|
Anthony Houppe
|
Anthony Houppe
|
Time-dependent microstrata in AdS3
|
22 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use perturbation theory to construct a family of time-dependent
microstrata: a set of non-extremal solutions of IIB supergravity asymptotic to
$AdS_3 \times S^3 \times T^4$. Our construction shows that the "special locus"
constraints of arXiv:2307.13021 can be broken by allowing the solutions to
depend on time. We study the secular terms appearing in the perturbation
theory. Some of them can be resummed into frequency shifts, with the same
interpretation as for the previously-studied microstrata solutions. Other
secular terms appear harder to resum, questioning the long-term stability of
the solutions.
|
[
{
"created": "Fri, 16 Feb 2024 19:00:05 GMT",
"version": "v1"
}
] |
2024-02-20
|
[
[
"Houppe",
"Anthony",
""
]
] |
We use perturbation theory to construct a family of time-dependent microstrata: a set of non-extremal solutions of IIB supergravity asymptotic to $AdS_3 \times S^3 \times T^4$. Our construction shows that the "special locus" constraints of arXiv:2307.13021 can be broken by allowing the solutions to depend on time. We study the secular terms appearing in the perturbation theory. Some of them can be resummed into frequency shifts, with the same interpretation as for the previously-studied microstrata solutions. Other secular terms appear harder to resum, questioning the long-term stability of the solutions.
| 12.005037
| 9.765023
| 11.495217
| 9.4318
| 9.925919
| 9.997013
| 9.976835
| 10.675508
| 9.585043
| 14.042252
| 10.908766
| 10.091788
| 11.664189
| 9.95519
| 10.27553
| 10.343515
| 9.999464
| 9.876369
| 10.335959
| 11.057391
| 10.269417
|
hep-th/0609183
|
David Wands
|
Edmund J. Copeland (Nottingham) and David Wands (Portsmouth)
|
Cosmological matching conditions
|
12 pages, no figures
|
JCAP 0706:014,2007
|
10.1088/1475-7516/2007/06/014
| null |
hep-th astro-ph gr-qc
| null |
We investigate the evolution of scalar metric perturbations across a sudden
cosmological transition, allowing for an inhomogeneous surface stress at the
transition leading to a discontinuity in the local expansion rate, such as
might be expected in a big crunch/big bang event. We assume that the transition
occurs when some function of local matter variables reaches a critical value,
and that the surface stress is also a function of local matter variables. In
particular we consider the case of a single scalar field and show that a
necessary condition for the surface stress tensor to be perturbed at the
transition is the presence of a non-zero intrinsic entropy perturbation of the
scalar field. We present the matching conditions in terms of gauge-invariant
variables assuming a sudden transition to a fluid-dominated universe with
barotropic equation of state. For adiabatic perturbations the comoving
curvature perturbation is continuous at the transition, while the Newtonian
potential may be discontinuous if there is a discontinuity in the background
Hubble expansion.
|
[
{
"created": "Tue, 26 Sep 2006 13:18:55 GMT",
"version": "v1"
}
] |
2010-10-27
|
[
[
"Copeland",
"Edmund J.",
"",
"Nottingham"
],
[
"Wands",
"David",
"",
"Portsmouth"
]
] |
We investigate the evolution of scalar metric perturbations across a sudden cosmological transition, allowing for an inhomogeneous surface stress at the transition leading to a discontinuity in the local expansion rate, such as might be expected in a big crunch/big bang event. We assume that the transition occurs when some function of local matter variables reaches a critical value, and that the surface stress is also a function of local matter variables. In particular we consider the case of a single scalar field and show that a necessary condition for the surface stress tensor to be perturbed at the transition is the presence of a non-zero intrinsic entropy perturbation of the scalar field. We present the matching conditions in terms of gauge-invariant variables assuming a sudden transition to a fluid-dominated universe with barotropic equation of state. For adiabatic perturbations the comoving curvature perturbation is continuous at the transition, while the Newtonian potential may be discontinuous if there is a discontinuity in the background Hubble expansion.
| 6.693561
| 7.448982
| 6.920133
| 6.559659
| 6.771471
| 7.129653
| 7.081928
| 6.501685
| 6.756444
| 7.182913
| 6.518465
| 6.463521
| 6.461472
| 6.446019
| 6.495808
| 6.517586
| 6.451079
| 6.645144
| 6.460524
| 6.547723
| 6.117217
|
hep-th/0202001
|
Mark W. Meckes
|
Mark W. Meckes
|
Explicit SU(5) monopole solutions
|
5 pages
| null | null | null |
hep-th math-ph math.MP
| null |
We describe in detail a general scheme for embedding several BPS monopoles
into a theory with a larger gauge group, which generalizes embeddings of SU(2)
monopoles discussed by several authors. This construction is applied to obtain
explicit fields for monopoles with several charge configurations in the
SU(5)\to [SU(3)\times SU(2)\times U(1)]/Z_6 model.
|
[
{
"created": "Thu, 31 Jan 2002 22:09:34 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Meckes",
"Mark W.",
""
]
] |
We describe in detail a general scheme for embedding several BPS monopoles into a theory with a larger gauge group, which generalizes embeddings of SU(2) monopoles discussed by several authors. This construction is applied to obtain explicit fields for monopoles with several charge configurations in the SU(5)\to [SU(3)\times SU(2)\times U(1)]/Z_6 model.
| 8.130768
| 7.48106
| 8.703075
| 7.323821
| 7.635707
| 7.27113
| 7.327826
| 8.024817
| 6.784248
| 8.633307
| 7.978746
| 7.525847
| 7.9654
| 7.723996
| 7.488881
| 7.86773
| 7.284253
| 8.288634
| 7.367466
| 7.721059
| 7.23923
|
2007.08436
|
Henriette Elvang
|
Henriette Elvang
|
Bootstrap and Amplitudes: A Hike in the Landscape of Quantum Field
Theory
|
45 pages, 4 figures. v2. typos corrected, references added
| null |
10.1088/1361-6633/abf97e
| null |
hep-th cond-mat.stat-mech gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This article is an introduction to two currently very active research
programs, the Conformal Bootstrap and Scattering Amplitudes. Rather than
attempting full surveys, the emphasis is on common ideas and methods shared by
these two seemingly very different programs. In both fields, mathematical and
physical constraints are placed directly on the physical observables in order
to explore the landscape of possible consistent quantum field theories. We give
explicit examples from both programs: the reader can expect to encounter
boiling water, ferromagnets, pion scattering, and emergent symmetries on this
journey into the landscape of local relativistic quantum field theories. The
first part is written for a general physics audience. The second part includes
further details, including a new on-shell bottom-up reconstruction of the
$\mathbb{CP}^1$ model with the Fubini-Study metric arising from re-summation of
the $n$-point interaction terms derived from amplitudes.
|
[
{
"created": "Thu, 16 Jul 2020 16:23:16 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Aug 2020 14:52:05 GMT",
"version": "v2"
}
] |
2021-07-07
|
[
[
"Elvang",
"Henriette",
""
]
] |
This article is an introduction to two currently very active research programs, the Conformal Bootstrap and Scattering Amplitudes. Rather than attempting full surveys, the emphasis is on common ideas and methods shared by these two seemingly very different programs. In both fields, mathematical and physical constraints are placed directly on the physical observables in order to explore the landscape of possible consistent quantum field theories. We give explicit examples from both programs: the reader can expect to encounter boiling water, ferromagnets, pion scattering, and emergent symmetries on this journey into the landscape of local relativistic quantum field theories. The first part is written for a general physics audience. The second part includes further details, including a new on-shell bottom-up reconstruction of the $\mathbb{CP}^1$ model with the Fubini-Study metric arising from re-summation of the $n$-point interaction terms derived from amplitudes.
| 11.215117
| 11.635578
| 12.23007
| 11.249162
| 11.783566
| 11.737243
| 11.883939
| 11.188127
| 11.273298
| 11.803299
| 10.750449
| 10.444732
| 10.38531
| 10.200747
| 10.460305
| 10.626811
| 10.341163
| 10.227678
| 10.659151
| 10.695894
| 10.534841
|
hep-th/9707229
| null |
T. Fujiwara, H. Igarashi and Y. Takimoto (Ibaraki Univ.)
|
On the Three-Point Couplings in Toda Field Theory
|
10 pages, latex, no figures
|
Prog.Theor.Phys. 99 (1998) 45-54
|
10.1143/PTP.99.45
|
IU-MSTP/23
|
hep-th
| null |
Correlation functions of Toda field vertices are investigated by applying the
method of integrating zero-mode developed for Liouville theory. We generalize
the relations among the zero-, two- and three-point couplings known in
Liouville case to arbitrary Toda theories. Two- and three-point functions of
Toda vertices associated with the simple roots are obtained.
|
[
{
"created": "Mon, 28 Jul 1997 08:28:10 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Fujiwara",
"T.",
"",
"Ibaraki Univ."
],
[
"Igarashi",
"H.",
"",
"Ibaraki Univ."
],
[
"Takimoto",
"Y.",
"",
"Ibaraki Univ."
]
] |
Correlation functions of Toda field vertices are investigated by applying the method of integrating zero-mode developed for Liouville theory. We generalize the relations among the zero-, two- and three-point couplings known in Liouville case to arbitrary Toda theories. Two- and three-point functions of Toda vertices associated with the simple roots are obtained.
| 15.783966
| 11.994317
| 16.167664
| 11.825858
| 12.632673
| 12.099953
| 12.985298
| 13.041147
| 11.38481
| 18.034513
| 12.959377
| 12.69087
| 13.554451
| 12.521047
| 12.40038
| 12.901832
| 12.871485
| 12.411472
| 12.971423
| 14.597194
| 12.642765
|
1409.8346
|
Keun-young Kim
|
Keun-Young Kim, Kyung Kiu Kim, Yunseok Seo, and Sang-Jin Sin
|
Coherent/incoherent metal transition in a holographic model
|
27 pages, 9 figures, v2,v3: minor changes, typos corrected, reference
added
| null |
10.1007/JHEP12(2014)170
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study AC electric($\sigma$), thermoelectric($\alpha$), and
thermal($\bar{\kappa}$) conductivities in a holographic model, which is based
on 3+1 dimensional Einstein-Maxwell-scalar action. There is momentum relaxation
due to massless scalar fields linear to spatial coordinate. The model has three
field theory parameters: temperature($T$), chemical potential($\mu$), and
effective impurity($\beta$). At low frequencies, if $\beta < \mu$, all three AC
conductivities($\sigma, \alpha, \bar{\kappa}$) exhibit a Drude peak modified by
pair creation contribution(coherent metal). The parameters of this modified
Drude peak are obtained analytically. In particular, if $\beta \ll \mu$ the
relaxation time of electric conductivity approaches to $2\sqrt{3} \mu/\beta^2$
and the modified Drude peak becomes a standard Drude peak. If $\beta > \mu$ the
shape of peak deviates from the Drude form(incoherent metal). At intermediate
frequencies($T<\omega<\mu$), we have analysed numerical data of three
conductivities($\sigma, \alpha, \bar{\kappa}$) for a wide variety of
parameters, searching for scaling laws, which are expected from either
experimental results on cuprates superconductors or some holographic models. In
the model we study, we find no clear signs of scaling behaviour.
|
[
{
"created": "Mon, 29 Sep 2014 23:11:13 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Oct 2014 10:56:03 GMT",
"version": "v2"
},
{
"created": "Sat, 13 Dec 2014 04:23:23 GMT",
"version": "v3"
}
] |
2015-06-23
|
[
[
"Kim",
"Keun-Young",
""
],
[
"Kim",
"Kyung Kiu",
""
],
[
"Seo",
"Yunseok",
""
],
[
"Sin",
"Sang-Jin",
""
]
] |
We study AC electric($\sigma$), thermoelectric($\alpha$), and thermal($\bar{\kappa}$) conductivities in a holographic model, which is based on 3+1 dimensional Einstein-Maxwell-scalar action. There is momentum relaxation due to massless scalar fields linear to spatial coordinate. The model has three field theory parameters: temperature($T$), chemical potential($\mu$), and effective impurity($\beta$). At low frequencies, if $\beta < \mu$, all three AC conductivities($\sigma, \alpha, \bar{\kappa}$) exhibit a Drude peak modified by pair creation contribution(coherent metal). The parameters of this modified Drude peak are obtained analytically. In particular, if $\beta \ll \mu$ the relaxation time of electric conductivity approaches to $2\sqrt{3} \mu/\beta^2$ and the modified Drude peak becomes a standard Drude peak. If $\beta > \mu$ the shape of peak deviates from the Drude form(incoherent metal). At intermediate frequencies($T<\omega<\mu$), we have analysed numerical data of three conductivities($\sigma, \alpha, \bar{\kappa}$) for a wide variety of parameters, searching for scaling laws, which are expected from either experimental results on cuprates superconductors or some holographic models. In the model we study, we find no clear signs of scaling behaviour.
| 7.103853
| 7.215527
| 7.767849
| 6.887839
| 7.132082
| 7.018631
| 7.177887
| 7.220806
| 6.585423
| 8.019747
| 6.719319
| 6.873921
| 7.356665
| 6.937912
| 7.008778
| 7.049273
| 7.079968
| 6.90738
| 7.044517
| 7.344691
| 6.971825
|
1805.08781
|
Georgios K. Karananas Dr.
|
Georgios K. Karananas
|
On the strong-CP problem and its axion solution in torsionful theories
|
7 pages, no figures
|
Eur. Phys. J. C (2018) 78: 480
|
10.1140/epjc/s10052-018-5972-0
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Gravitational effects may interfere with the axion solution to the strong-CP
problem. We point out that gravity can potentially provide a protection
mechanism against itself, in the form of an additional axion-like field
associated with torsion.
|
[
{
"created": "Tue, 22 May 2018 18:00:01 GMT",
"version": "v1"
}
] |
2018-06-12
|
[
[
"Karananas",
"Georgios K.",
""
]
] |
Gravitational effects may interfere with the axion solution to the strong-CP problem. We point out that gravity can potentially provide a protection mechanism against itself, in the form of an additional axion-like field associated with torsion.
| 14.079533
| 12.567095
| 10.282081
| 10.059003
| 11.462635
| 10.654551
| 10.080397
| 10.841291
| 10.306939
| 11.110202
| 11.485038
| 11.904881
| 10.573423
| 10.582334
| 11.214534
| 11.355168
| 11.337844
| 11.552563
| 10.824353
| 10.941769
| 11.001121
|
1306.4865
|
Andre Lehum
|
B. Charneski, A. C. Lehum, A. J. da Silva
|
Gravitational corrections to the scattering in a massless quantum
electrodynamics
|
10 pages, 2 figures. Minor corrections
| null |
10.1103/PhysRevD.90.127702
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the role of gravitational corrections to the running of the
electric charge through the evaluation of scattering amplitudes of charged
particles in massless scalar electrodynamics. Computing the complete divergent
part of the S-matrix amplitude for two distinct scattering processes, we show
that quantum gravitational corrections do not alter the running behavior of the
electric charge. Our result does not exclude the possibility that the presence
of a second dimensional constant in the model (a cosmological constant or the
presence of massive particles) could alter this behavior, as was proposed in
earlier works.
|
[
{
"created": "Thu, 20 Jun 2013 13:16:03 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Aug 2014 19:10:44 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Nov 2014 14:39:58 GMT",
"version": "v3"
}
] |
2015-06-16
|
[
[
"Charneski",
"B.",
""
],
[
"Lehum",
"A. C.",
""
],
[
"da Silva",
"A. J.",
""
]
] |
We discuss the role of gravitational corrections to the running of the electric charge through the evaluation of scattering amplitudes of charged particles in massless scalar electrodynamics. Computing the complete divergent part of the S-matrix amplitude for two distinct scattering processes, we show that quantum gravitational corrections do not alter the running behavior of the electric charge. Our result does not exclude the possibility that the presence of a second dimensional constant in the model (a cosmological constant or the presence of massive particles) could alter this behavior, as was proposed in earlier works.
| 10.787236
| 10.79557
| 9.894402
| 10.165055
| 11.756145
| 10.637131
| 10.569252
| 10.145389
| 10.297492
| 11.400333
| 9.955382
| 10.519007
| 10.102053
| 10.393862
| 10.148049
| 10.328319
| 10.542731
| 10.492693
| 9.937218
| 10.192158
| 10.46351
|
2210.13476
|
Arjun Kar
|
Arjun Kar
|
Non-Isometric Quantum Error Correction in Gravity
|
42 pages, 2 figures
| null |
10.1007/JHEP02(2023)195
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct and study an ensemble of non-isometric error correcting codes in
a toy model of an evaporating black hole in two-dimensional dilaton gravity. In
the preferred bases of Euclidean path integral states in the bulk and
Hamiltonian eigenstates in the boundary, the encoding map is proportional to a
linear transformation with independent complex Gaussian random entries of zero
mean and unit variance. Using measure concentration, we show that the typical
such code is very likely to preserve pairwise inner products in a set $S$ of
states that can be subexponentially large in the microcanonical Hilbert space
dimension of the black hole. The size of this set also serves as an upper limit
on the bulk effective field theory Hilbert space dimension. Similar techniques
are used to demonstrate the existence of state-specific reconstructions of
$S$-preserving code space unitary operators. State-specific reconstructions on
subspaces exist when they are expected to by entanglement wedge reconstruction.
We comment on relations to complexity theory and the breakdown of bulk
effective field theory.
|
[
{
"created": "Mon, 24 Oct 2022 18:00:00 GMT",
"version": "v1"
}
] |
2023-03-22
|
[
[
"Kar",
"Arjun",
""
]
] |
We construct and study an ensemble of non-isometric error correcting codes in a toy model of an evaporating black hole in two-dimensional dilaton gravity. In the preferred bases of Euclidean path integral states in the bulk and Hamiltonian eigenstates in the boundary, the encoding map is proportional to a linear transformation with independent complex Gaussian random entries of zero mean and unit variance. Using measure concentration, we show that the typical such code is very likely to preserve pairwise inner products in a set $S$ of states that can be subexponentially large in the microcanonical Hilbert space dimension of the black hole. The size of this set also serves as an upper limit on the bulk effective field theory Hilbert space dimension. Similar techniques are used to demonstrate the existence of state-specific reconstructions of $S$-preserving code space unitary operators. State-specific reconstructions on subspaces exist when they are expected to by entanglement wedge reconstruction. We comment on relations to complexity theory and the breakdown of bulk effective field theory.
| 12.113891
| 13.304231
| 14.549832
| 12.404103
| 12.834777
| 13.370649
| 13.970057
| 12.894728
| 12.660214
| 17.137985
| 12.014984
| 12.459141
| 13.440796
| 12.577035
| 12.672181
| 12.019258
| 12.471679
| 12.408396
| 12.377164
| 12.922343
| 12.113646
|
hep-th/0009042
|
Paul S. Aspinwall
|
Paul S. Aspinwall and M. Ronen Plesser
|
D-branes, Discrete Torsion and the McKay Correspondence
|
27 pages, 5 figures, LaTeX2e, minor changes
|
JHEP 0102:009,2001
|
10.1088/1126-6708/2001/02/009
|
DUKE-CGTP-00-18
|
hep-th
| null |
We analyze the D-branes of a type IIB string theory on an orbifold
singularity including the possibility of discrete torsion following the work of
Douglas et al. First we prove some general results about the moduli space of a
point associated to the "regular representation" of the orbifold group. This
includes some analysis of the "wrapped branes" which necessarily appear when
the orbifold singularity is not isolated. Next we analyze the stringy homology
of the orbifold using the McKay correspondence and the relationship between
K-theory and homology. We find that discrete torsion and torsion in this
stringy homology are closely-related concepts but that they differ in general.
Lastly we question to what extent the D-1 brane may be thought of as being dual
to a string.
|
[
{
"created": "Wed, 6 Sep 2000 13:57:41 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Oct 2000 14:30:56 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Aspinwall",
"Paul S.",
""
],
[
"Plesser",
"M. Ronen",
""
]
] |
We analyze the D-branes of a type IIB string theory on an orbifold singularity including the possibility of discrete torsion following the work of Douglas et al. First we prove some general results about the moduli space of a point associated to the "regular representation" of the orbifold group. This includes some analysis of the "wrapped branes" which necessarily appear when the orbifold singularity is not isolated. Next we analyze the stringy homology of the orbifold using the McKay correspondence and the relationship between K-theory and homology. We find that discrete torsion and torsion in this stringy homology are closely-related concepts but that they differ in general. Lastly we question to what extent the D-1 brane may be thought of as being dual to a string.
| 10.386702
| 10.303612
| 12.122934
| 9.738351
| 10.38209
| 10.434025
| 10.212729
| 10.349011
| 9.872508
| 11.624154
| 9.733731
| 9.683701
| 10.701036
| 9.880132
| 9.995358
| 10.106184
| 9.970068
| 10.126365
| 9.93057
| 10.612202
| 9.909327
|
hep-th/0307207
|
Jaroslaw Mlynik
|
Stanislaw D. Glazek, Jaroslaw Mlynik
|
Accuracy estimate for a relativistic Hamiltonian approach to bound-state
problems in theories with asymptotic freedom
|
10 pages of latex, 6 eps figures
|
Acta Phys.Polon. B35 (2004) 723-744
| null |
IFT/22/03
|
hep-th
| null |
Accuracy of a relativistic weak-coupling expansion procedure for solving the
Hamiltonian bound-state eigenvalue problem in theories with asymptotic freedom
is measured using a well-known matrix model. The model is exactly soluble and
simple enough to study the method up to sixth order in the expansion. The
procedure is found in this case to match the precision of the best available
benchmark method of the altered Wegner flow equation, reaching the accuracy of
a few percent.
|
[
{
"created": "Tue, 22 Jul 2003 08:17:30 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Glazek",
"Stanislaw D.",
""
],
[
"Mlynik",
"Jaroslaw",
""
]
] |
Accuracy of a relativistic weak-coupling expansion procedure for solving the Hamiltonian bound-state eigenvalue problem in theories with asymptotic freedom is measured using a well-known matrix model. The model is exactly soluble and simple enough to study the method up to sixth order in the expansion. The procedure is found in this case to match the precision of the best available benchmark method of the altered Wegner flow equation, reaching the accuracy of a few percent.
| 22.663055
| 21.799713
| 24.030912
| 19.758522
| 20.919987
| 23.155048
| 21.723593
| 21.210817
| 17.965672
| 20.349426
| 19.621796
| 19.354805
| 19.218403
| 18.257301
| 19.873653
| 18.815495
| 17.847439
| 19.433634
| 18.593769
| 20.109917
| 21.221684
|
2212.13028
|
Masaki Okada
|
Masaki Okada and Taizan Watari
|
Towards Hodge Theoretic Characterizations of 2d Rational SCFTs: II
|
32 pages; minor corrections in v2
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A characterization of rational superconformal field theories (SCFTs) on 1+1
dimensions with Ricci-flat Kahler targets was proposed by S. Gukov and C. Vafa
in terms of the Hodge structure of the target space. The article
[arXiv:2205.10299] refined this idea and extracted a set of necessary
conditions for a $T^4$-target N=(1,1) SCFT to be rational; only a partial
effort was made, however, to study whether it also constitutes a sufficient
condition. It turns out that the set of conditions in [arXiv:2205.10299] is not
sufficient, and that it becomes a set of necessary and sufficient conditions by
adding one more condition in the case of $T^4$. The Strominger--Yau--Zaslow
fibration in the mirror correspondence plays an essential role there. At the
end, we also propose a refined version of Gukov--Vafa's idea for general
Ricci-flat Kahler target spaces.
|
[
{
"created": "Mon, 26 Dec 2022 07:31:19 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Jun 2023 13:29:03 GMT",
"version": "v2"
}
] |
2023-06-28
|
[
[
"Okada",
"Masaki",
""
],
[
"Watari",
"Taizan",
""
]
] |
A characterization of rational superconformal field theories (SCFTs) on 1+1 dimensions with Ricci-flat Kahler targets was proposed by S. Gukov and C. Vafa in terms of the Hodge structure of the target space. The article [arXiv:2205.10299] refined this idea and extracted a set of necessary conditions for a $T^4$-target N=(1,1) SCFT to be rational; only a partial effort was made, however, to study whether it also constitutes a sufficient condition. It turns out that the set of conditions in [arXiv:2205.10299] is not sufficient, and that it becomes a set of necessary and sufficient conditions by adding one more condition in the case of $T^4$. The Strominger--Yau--Zaslow fibration in the mirror correspondence plays an essential role there. At the end, we also propose a refined version of Gukov--Vafa's idea for general Ricci-flat Kahler target spaces.
| 7.381808
| 6.602278
| 7.34844
| 6.49605
| 6.49033
| 6.884832
| 6.43997
| 6.464011
| 6.441252
| 8.518914
| 6.395316
| 6.754789
| 6.945127
| 6.712103
| 6.524463
| 6.600257
| 6.821095
| 6.60066
| 6.596463
| 7.210854
| 6.657034
|
hep-th/9408168
|
Paul Micheal Sutcliffe
|
Paul Sutcliffe
|
Instanton Moduli and Topological Soliton Dynamics
|
uuencoded tex file, 27 pages including 4 figures, requires phyzzx
macro. DAMTP 94-55
|
Nucl.Phys. B431 (1994) 97-118
|
10.1016/0550-3213(94)90099-X
| null |
hep-th
| null |
It has been proposed by Atiyah and Manton that the dynamics of Skyrmions may
be approximated by motion on a finite dimensional manifold obtained from the
moduli space of SU(2) Yang-Mills instantons. Motivated by this work we describe
how similar results exist for other soliton and instanton systems. We describe
in detail two examples for the approximation of the infinite dimensional
dynamics of sine-Gordon solitons by finite dimensional dynamics on a manifold
obtained from instanton moduli. In the first example we use the moduli space of
CP1 instantons and in the second example we use the moduli space of SU(2)
Yang-Mills instantons. The metric and potential functions on these manifolds
are constructed and the resulting dynamics is compared with the explicit exact
soliton solutions of the sine-Gordon theory.
|
[
{
"created": "Tue, 30 Aug 1994 12:30:31 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Sutcliffe",
"Paul",
""
]
] |
It has been proposed by Atiyah and Manton that the dynamics of Skyrmions may be approximated by motion on a finite dimensional manifold obtained from the moduli space of SU(2) Yang-Mills instantons. Motivated by this work we describe how similar results exist for other soliton and instanton systems. We describe in detail two examples for the approximation of the infinite dimensional dynamics of sine-Gordon solitons by finite dimensional dynamics on a manifold obtained from instanton moduli. In the first example we use the moduli space of CP1 instantons and in the second example we use the moduli space of SU(2) Yang-Mills instantons. The metric and potential functions on these manifolds are constructed and the resulting dynamics is compared with the explicit exact soliton solutions of the sine-Gordon theory.
| 6.536211
| 5.026494
| 5.536018
| 5.220949
| 4.723642
| 5.209271
| 4.998107
| 5.373231
| 4.796689
| 5.701825
| 5.156511
| 4.971499
| 5.297541
| 5.105845
| 4.972353
| 5.055867
| 5.087673
| 5.195708
| 5.173481
| 5.275129
| 4.945591
|
1110.1063
|
Andrei Belitsky
|
A. V. Belitsky
|
OPE for null Wilson loops and open spin chains
|
10 pages, 2 figures
| null |
10.1016/j.physletb.2012.02.027
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Maximal helicity-violating scattering amplitudes in N=4 supersymmetric
Yang-Mills theory are dual to Wilson loops on closed null polygons. We perform
their operator product expansion analysis in two-dimensional kinematics in the
soft-collinear approximation which corresponds to the case when some light-cone
distances vanish. We construct the expansion in terms of multi-particle
"heavy"-light operators, where the "heavy" fields are identified with the
Wilson lines defining the OPE channel and the light fields emerge from the
curvature of the contour. The correlation function of these define the
remainder function. We study the dilatation operator for these operators at one
loop order and find that it corresponds to a non-compact open spin chain. This
provides an alternative view on elementary excitations propagating on the GKP
string at weak coupling, which now correspond to particles traveling along an
open spin chain. The factorized structure of the Wilson loop in the soft limit
allows one to represent the two-loop correction to the octagon Wilson loop as a
convolution formula and find the corresponding remainder function.
|
[
{
"created": "Wed, 5 Oct 2011 18:27:22 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Feb 2012 04:29:15 GMT",
"version": "v2"
}
] |
2015-05-30
|
[
[
"Belitsky",
"A. V.",
""
]
] |
Maximal helicity-violating scattering amplitudes in N=4 supersymmetric Yang-Mills theory are dual to Wilson loops on closed null polygons. We perform their operator product expansion analysis in two-dimensional kinematics in the soft-collinear approximation which corresponds to the case when some light-cone distances vanish. We construct the expansion in terms of multi-particle "heavy"-light operators, where the "heavy" fields are identified with the Wilson lines defining the OPE channel and the light fields emerge from the curvature of the contour. The correlation function of these define the remainder function. We study the dilatation operator for these operators at one loop order and find that it corresponds to a non-compact open spin chain. This provides an alternative view on elementary excitations propagating on the GKP string at weak coupling, which now correspond to particles traveling along an open spin chain. The factorized structure of the Wilson loop in the soft limit allows one to represent the two-loop correction to the octagon Wilson loop as a convolution formula and find the corresponding remainder function.
| 12.309253
| 10.978835
| 11.792036
| 10.959603
| 12.654103
| 11.926457
| 11.598733
| 11.166764
| 11.105438
| 13.002594
| 11.203748
| 10.454673
| 11.174797
| 10.978433
| 11.054316
| 11.22165
| 11.31147
| 10.851451
| 10.616381
| 11.099755
| 11.331191
|
hep-th/9802201
|
Jens Ole Madsen
|
J.M. Evans (DAMTP, University of Cambridge) and J.O. Madsen
(Universidade de Santiago de Compostella)
|
On the Classification of Real Forms of Non-Abelian Toda Theories and
W-algebras
|
42 pages, LaTeX; Minor corrections to ensure consistent conventions;
some references added
|
Nucl.Phys. B536 (1998) 657-703; Erratum-ibid. B547 (1999) 665-666
|
10.1016/S0550-3213(98)00693-2
|
DAMTP/97-148, US-FT/2-98
|
hep-th
| null |
We consider conformal non-Abelian Toda theories obtained by hamiltonian
reduction from Wess-Zumino-Witten models based on general real Lie groups. We
study in detail the possible choices of reality conditions which can be imposed
on the WZW or Toda fields and prove correspondences with sl(2,R) embeddings
into real Lie algebras and with the possible real forms of the associated
W-algebras. We devise a a method for finding all real embeddings which can be
obtained from a given embedding of sl(2,C) into a complex Lie algebra. We then
apply this to give a complete classification of real embeddings which are
principal in some simple regular subalgebra of a classical Lie algebra.
|
[
{
"created": "Fri, 27 Feb 1998 19:29:19 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Feb 1999 12:32:00 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Evans",
"J. M.",
"",
"DAMTP, University of Cambridge"
],
[
"Madsen",
"J. O.",
"",
"Universidade de Santiago de Compostella"
]
] |
We consider conformal non-Abelian Toda theories obtained by hamiltonian reduction from Wess-Zumino-Witten models based on general real Lie groups. We study in detail the possible choices of reality conditions which can be imposed on the WZW or Toda fields and prove correspondences with sl(2,R) embeddings into real Lie algebras and with the possible real forms of the associated W-algebras. We devise a a method for finding all real embeddings which can be obtained from a given embedding of sl(2,C) into a complex Lie algebra. We then apply this to give a complete classification of real embeddings which are principal in some simple regular subalgebra of a classical Lie algebra.
| 9.098483
| 7.383465
| 9.69401
| 8.109604
| 7.810028
| 9.09205
| 8.226279
| 8.082003
| 8.20678
| 10.57456
| 7.965043
| 8.245838
| 9.385514
| 8.558186
| 8.59439
| 8.388773
| 8.487117
| 8.471136
| 8.658766
| 9.736092
| 8.664342
|
0903.0380
|
Suvrat Raju
|
Suvrat Raju
|
The Noncommutative S-Matrix
|
44 pages
|
JHEP 0906:005,2009
|
10.1088/1126-6708/2009/06/005
|
HRI/ST/0906
|
hep-th hep-ph
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
As a simple example of how recently developed on-shell techniques apply to
nonlocal theories, we study the S-matrix of noncommutative gauge theories. In
the complex plane, this S-matrix has essential singularities that signal the
nonlocal behavior of the theory. In spite of this, we show that tree-level
amplitudes may be obtained by BCFW type recursion relations. At one loop we
find a complete basis of master integrals (this basis is larger than the
corresponding basis in the ordinary theory). Any one-loop noncommutative
amplitude may be written as a linear combination of these integrals with
coefficients that we relate to products of tree amplitudes. We show that the
noncommutative N=4 SYM theory has a structurally simple S-matrix, just like the
ordinary N=4 SYM theory.
|
[
{
"created": "Mon, 2 Mar 2009 21:52:56 GMT",
"version": "v1"
}
] |
2011-02-09
|
[
[
"Raju",
"Suvrat",
""
]
] |
As a simple example of how recently developed on-shell techniques apply to nonlocal theories, we study the S-matrix of noncommutative gauge theories. In the complex plane, this S-matrix has essential singularities that signal the nonlocal behavior of the theory. In spite of this, we show that tree-level amplitudes may be obtained by BCFW type recursion relations. At one loop we find a complete basis of master integrals (this basis is larger than the corresponding basis in the ordinary theory). Any one-loop noncommutative amplitude may be written as a linear combination of these integrals with coefficients that we relate to products of tree amplitudes. We show that the noncommutative N=4 SYM theory has a structurally simple S-matrix, just like the ordinary N=4 SYM theory.
| 6.72205
| 6.180613
| 6.747276
| 6.029315
| 6.142075
| 6.211968
| 6.310606
| 6.512016
| 6.161516
| 6.891979
| 6.025306
| 6.058533
| 6.325959
| 6.09139
| 6.128491
| 6.093513
| 5.997674
| 6.17435
| 6.063008
| 6.291147
| 6.057845
|
hep-th/9709123
| null |
A.A. Tseytlin
|
Interactions Between Branes and Matrix Theories
|
12 pages, latex. Contribution to Proceedings of STRINGS'97 (misprints
corrected)
|
Nucl.Phys.Proc.Suppl.68:99-110,1998
|
10.1016/S0920-5632(98)00144-3
|
Imperial/TP/96-97/66
|
hep-th
| null |
We review some tests of the 0-brane and instanton matrix models based on
comparing long-distance interaction potentials between branes and their bound
states (with 1/2,1/4 or 1/8 of supersymmetry) in supergravity and in super
Yang-Mills descriptions. We first consider the supergravity-SYM correspondence
at the level of the leading term in the interaction potential, and then
describe some recent results concerning the subleading term and their
implications for the structure of the 2-loop F^6 term in the SYM effective
action.
|
[
{
"created": "Tue, 16 Sep 1997 23:02:21 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Oct 1997 19:38:09 GMT",
"version": "v2"
}
] |
2009-09-17
|
[
[
"Tseytlin",
"A. A.",
""
]
] |
We review some tests of the 0-brane and instanton matrix models based on comparing long-distance interaction potentials between branes and their bound states (with 1/2,1/4 or 1/8 of supersymmetry) in supergravity and in super Yang-Mills descriptions. We first consider the supergravity-SYM correspondence at the level of the leading term in the interaction potential, and then describe some recent results concerning the subleading term and their implications for the structure of the 2-loop F^6 term in the SYM effective action.
| 11.62161
| 8.800841
| 14.796505
| 9.047997
| 9.548366
| 8.360462
| 9.155181
| 9.188978
| 8.863567
| 15.475063
| 8.797231
| 9.951806
| 12.361486
| 10.778438
| 10.463321
| 10.148265
| 9.970532
| 10.024406
| 10.676279
| 11.946417
| 10.146448
|
1104.2884
|
Shamit Kachru
|
Shamit Kachru, Renata Kallosh and Marina Shmakova
|
Generalized Attractor Points in Gauged Supergravity
|
31 pages, LaTeX; v2, references fixed; v3, minor changes, version to
appear in Phys. Rev. D
|
Phys.Rev.D84:046003,2011
|
10.1103/PhysRevD.84.046003
|
SU-ITP-11/23, SLAC-PUB-14441
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The attractor mechanism governs the near-horizon geometry of extremal black
holes in ungauged 4D N=2 supergravity theories and in Calabi-Yau
compactifications of string theory. In this paper, we study a natural
generalization of this mechanism to solutions of arbitrary 4D N=2 gauged
supergravities. We define generalized attractor points as solutions of an
ansatz which reduces the Einstein, gauge field, and scalar equations of motion
to algebraic equations. The simplest generalized attractor geometries are
characterized by non-vanishing constant anholonomy coefficients in an
orthonormal frame. Basic examples include Lifshitz and Schrodinger solutions,
as well as AdS and dS vacua. There is a generalized attractor potential whose
critical points are the attractor points, and its extremization explains the
algebraic nature of the equations governing both supersymmetric and
non-supersymmetric attractors.
|
[
{
"created": "Thu, 14 Apr 2011 19:35:11 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Apr 2011 20:13:10 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Jun 2011 17:39:23 GMT",
"version": "v3"
}
] |
2011-09-08
|
[
[
"Kachru",
"Shamit",
""
],
[
"Kallosh",
"Renata",
""
],
[
"Shmakova",
"Marina",
""
]
] |
The attractor mechanism governs the near-horizon geometry of extremal black holes in ungauged 4D N=2 supergravity theories and in Calabi-Yau compactifications of string theory. In this paper, we study a natural generalization of this mechanism to solutions of arbitrary 4D N=2 gauged supergravities. We define generalized attractor points as solutions of an ansatz which reduces the Einstein, gauge field, and scalar equations of motion to algebraic equations. The simplest generalized attractor geometries are characterized by non-vanishing constant anholonomy coefficients in an orthonormal frame. Basic examples include Lifshitz and Schrodinger solutions, as well as AdS and dS vacua. There is a generalized attractor potential whose critical points are the attractor points, and its extremization explains the algebraic nature of the equations governing both supersymmetric and non-supersymmetric attractors.
| 5.752441
| 5.150731
| 6.285405
| 5.068826
| 5.1436
| 5.207094
| 5.147913
| 5.01124
| 4.996118
| 7.099885
| 4.936653
| 5.023026
| 5.532787
| 4.973931
| 5.153213
| 5.057937
| 5.035389
| 5.01354
| 5.018014
| 5.712021
| 5.151422
|
1908.01110
|
Stuart Raby
|
Herbert Clemens and Stuart Raby
|
F-theory over a Fano threefold built from $A_{4}$-roots
|
26 pages, 4 figures, Lemma 6 has been added in order to clarify the
discussion, section 6 has been revised. Section 8 has been revised in order
to correct a mistake in the original version
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a previous paper, the authors showed the advantages of building a
$\mathbb{Z}_{2}$-action into an $F$-theory model $W_{4}/B_{3}$, namely the
action of complex conjugation on the complex algebraic group with compact real
form $E_{8}$. The goal of this paper is to construct the Fano threefold $B_{3}$
directly from the roots of $SU\left(5\right)$ in such a way that the action of
complex conjugation is exactly the desired $\mathbb{Z}_{2}$-action and the
quotient of this action on $W_{4}/B_{3}$ and its Heterotic dual have the
phenomenologically correct invariants.
|
[
{
"created": "Sat, 3 Aug 2019 02:38:38 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jun 2020 21:04:58 GMT",
"version": "v2"
},
{
"created": "Mon, 18 Oct 2021 18:12:07 GMT",
"version": "v3"
},
{
"created": "Tue, 21 Dec 2021 18:18:30 GMT",
"version": "v4"
},
{
"created": "Tue, 20 Dec 2022 17:19:18 GMT",
"version": "v5"
}
] |
2022-12-21
|
[
[
"Clemens",
"Herbert",
""
],
[
"Raby",
"Stuart",
""
]
] |
In a previous paper, the authors showed the advantages of building a $\mathbb{Z}_{2}$-action into an $F$-theory model $W_{4}/B_{3}$, namely the action of complex conjugation on the complex algebraic group with compact real form $E_{8}$. The goal of this paper is to construct the Fano threefold $B_{3}$ directly from the roots of $SU\left(5\right)$ in such a way that the action of complex conjugation is exactly the desired $\mathbb{Z}_{2}$-action and the quotient of this action on $W_{4}/B_{3}$ and its Heterotic dual have the phenomenologically correct invariants.
| 8.135391
| 8.402669
| 10.133837
| 8.782451
| 9.359506
| 8.851176
| 9.407462
| 8.697804
| 8.587767
| 9.727131
| 8.71209
| 8.876608
| 8.952571
| 8.289824
| 8.648013
| 8.429187
| 8.840956
| 8.629406
| 8.321348
| 8.805039
| 8.190576
|
2107.03031
|
Xian-Hui Ge
|
Ming-Hui Yu, Xian-Hui Ge
|
Page Curves and Islands in Charged Dilaton Black Holes
|
minor corrections, references added
|
Eur.Phys.J.C 82 (2022) 2, 167
| null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study the Page curve in the four dimensional asymptotically flat eternal
Garfinkle-Horowitz-Strominger dilaton black holes by applying the "quantum
extremal surface" prescription. The results demonstrate that without island,
the entanglement entropy of Hawking radiation is proportional to time and
divergent at late times. While taking account of the emergence of the island
extending slightly outside the event horizon, the entanglement entropy of
Hawking radiation stops growing and eventually reaches a saturation value,
which is twice of the Bekenstein-Hawking entropy and consistent with the
finiteness of the von Neumann entropy of eternal black holes. Moreover, we
discuss the impact of the parameter $n$ and charge $Q$ on the Page time. The
influence of $n$ on it can neglected when the ratio of the charge $Q$ to the
black hole mass $M$ is sufficiently small, but the charge $Q$ has a significant
impact on Page time. Importantly, at the extremal case, the Page time becomes
divergent or vanishing, in which the semiclassical theory needs further
investigation.
|
[
{
"created": "Wed, 7 Jul 2021 06:19:43 GMT",
"version": "v1"
},
{
"created": "Sun, 18 Jul 2021 02:16:29 GMT",
"version": "v2"
}
] |
2022-03-25
|
[
[
"Yu",
"Ming-Hui",
""
],
[
"Ge",
"Xian-Hui",
""
]
] |
We study the Page curve in the four dimensional asymptotically flat eternal Garfinkle-Horowitz-Strominger dilaton black holes by applying the "quantum extremal surface" prescription. The results demonstrate that without island, the entanglement entropy of Hawking radiation is proportional to time and divergent at late times. While taking account of the emergence of the island extending slightly outside the event horizon, the entanglement entropy of Hawking radiation stops growing and eventually reaches a saturation value, which is twice of the Bekenstein-Hawking entropy and consistent with the finiteness of the von Neumann entropy of eternal black holes. Moreover, we discuss the impact of the parameter $n$ and charge $Q$ on the Page time. The influence of $n$ on it can neglected when the ratio of the charge $Q$ to the black hole mass $M$ is sufficiently small, but the charge $Q$ has a significant impact on Page time. Importantly, at the extremal case, the Page time becomes divergent or vanishing, in which the semiclassical theory needs further investigation.
| 7.091097
| 6.298947
| 6.840906
| 6.133616
| 5.962961
| 6.155238
| 6.16501
| 5.95502
| 6.065383
| 7.31068
| 6.134498
| 6.577751
| 6.625786
| 6.601708
| 6.568678
| 6.551953
| 6.554096
| 6.55957
| 6.87024
| 6.716047
| 6.737675
|
hep-th/9405118
| null |
J. G. Russo
|
Thermal ensemble of string gas in a magnetic field
|
9 pages, 1 figure (fig1.eps, included at the bottom), UTTG-10-94
|
Phys.Lett. B335 (1994) 168-172
|
10.1016/0370-2693(94)91408-7
| null |
hep-th
| null |
We study the thermal ensemble of a gas of free strings in presence of a
magnetic field. We find that the thermodynamical partition function diverges
when the magnetic field exceeds some critical value $B_{\rm cr}$, which depends
on the temperature. We argue that there is a first-order phase transition with
a large latent heat. At the critical value an infinite number of states -all
states in a Regge trajectory- seem to become massless, which may be an
indication of recuperation of spontaneously broken symmetries.
|
[
{
"created": "Wed, 18 May 1994 21:50:19 GMT",
"version": "v1"
},
{
"created": "Thu, 26 May 1994 15:39:39 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Nov 2004 12:56:14 GMT",
"version": "v3"
}
] |
2009-10-28
|
[
[
"Russo",
"J. G.",
""
]
] |
We study the thermal ensemble of a gas of free strings in presence of a magnetic field. We find that the thermodynamical partition function diverges when the magnetic field exceeds some critical value $B_{\rm cr}$, which depends on the temperature. We argue that there is a first-order phase transition with a large latent heat. At the critical value an infinite number of states -all states in a Regge trajectory- seem to become massless, which may be an indication of recuperation of spontaneously broken symmetries.
| 9.198982
| 7.510467
| 9.025023
| 8.108458
| 8.369987
| 8.621392
| 8.335834
| 8.094161
| 7.755256
| 9.503561
| 7.579449
| 7.845478
| 8.50049
| 8.212742
| 8.233725
| 8.188514
| 8.235271
| 7.887955
| 8.072249
| 8.112097
| 7.70381
|
hep-th/9603132
|
Andrea Lavagno
|
G. Kaniadakis, A. Lavagno and P. Quarati
|
Generalized Fractional Statistics
|
4 pages, RevTex
| null |
10.1142/S0217984996000547
| null |
hep-th
| null |
We link, by means of a semiclassical approach, the fractional statistics of
particles obeying the Haldane exclusion principle to the Tsallis statistics and
derive a generalized quantum entropy and its associated statistics.
|
[
{
"created": "Tue, 19 Mar 1996 15:28:53 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Kaniadakis",
"G.",
""
],
[
"Lavagno",
"A.",
""
],
[
"Quarati",
"P.",
""
]
] |
We link, by means of a semiclassical approach, the fractional statistics of particles obeying the Haldane exclusion principle to the Tsallis statistics and derive a generalized quantum entropy and its associated statistics.
| 22.77832
| 20.160852
| 15.528725
| 15.337601
| 19.054356
| 19.727543
| 17.801725
| 16.499632
| 15.047074
| 19.551785
| 15.495218
| 16.877081
| 17.088171
| 16.316172
| 16.394686
| 18.249338
| 17.010546
| 17.898817
| 16.775017
| 17.594503
| 17.446615
|
0903.0568
|
Steven Weinberg
|
Steven Weinberg
|
Living with Infinities
|
16 pages, minor changes in text, many references added
| null | null |
UTTG-01-09, TCC-013-09
|
hep-th gr-qc physics.hist-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This is the written version of a talk given in memory of Gunnar
K\"{a}ll\'{e}n, at the Departments of Theoretical Physics, Physics, and
Astronomy of Lund University on February 13, 2009. It will be published in a
collection of the papers of Gunnar K\"{a}ll\'{e}n, edited by C. Jarlskog and A.
C. T. Wu. I discuss some of K\"{a}ll\'{e}n's work, especially regarding the
problem of infinities in quantum field theory, and recount my own interactions
with him. In addition, I describe for non-specialists the current status of the
problem, and present my personal view on how it may be resolved in the future.
|
[
{
"created": "Tue, 3 Mar 2009 16:43:06 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Apr 2009 14:58:25 GMT",
"version": "v2"
}
] |
2009-04-21
|
[
[
"Weinberg",
"Steven",
""
]
] |
This is the written version of a talk given in memory of Gunnar K\"{a}ll\'{e}n, at the Departments of Theoretical Physics, Physics, and Astronomy of Lund University on February 13, 2009. It will be published in a collection of the papers of Gunnar K\"{a}ll\'{e}n, edited by C. Jarlskog and A. C. T. Wu. I discuss some of K\"{a}ll\'{e}n's work, especially regarding the problem of infinities in quantum field theory, and recount my own interactions with him. In addition, I describe for non-specialists the current status of the problem, and present my personal view on how it may be resolved in the future.
| 5.347438
| 5.162943
| 4.93668
| 4.700187
| 4.699634
| 4.970189
| 5.020889
| 5.011992
| 4.652413
| 4.40307
| 4.442032
| 4.461147
| 4.53268
| 4.442325
| 4.595761
| 4.469018
| 4.499208
| 4.361358
| 4.488201
| 4.601615
| 4.634531
|
hep-th/0004086
|
C. M. Hull
|
C.M. Hull
|
BPS Supermultiplets in Five Dimensions
|
Pages, Tex, Phyzzx Macro. Minor corrections, extra reference
|
JHEP 0006 (2000) 019
|
10.1088/1126-6708/2000/06/019
|
RUNHETC-2000-11, QMW-00-02
|
hep-th
| null |
BPS representations of 5-dimensional supersymmetry algebras are classified.
For BPS states preserving 1/2 the supersymmetry, there are two distinct classes
of multiplets for N=4 supersymmetry and three classes for N=8 supersymmetry.
For N=4 matter theories, the two 1/2 supersymmetric BPS multiplets are the
massive vector multiplet and the massive self-dual 2-form multiplet. Some
applications to super-Yang-Mills, supergravity and little string theories are
considered.
|
[
{
"created": "Tue, 11 Apr 2000 22:39:39 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Jul 2000 14:18:49 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Hull",
"C. M.",
""
]
] |
BPS representations of 5-dimensional supersymmetry algebras are classified. For BPS states preserving 1/2 the supersymmetry, there are two distinct classes of multiplets for N=4 supersymmetry and three classes for N=8 supersymmetry. For N=4 matter theories, the two 1/2 supersymmetric BPS multiplets are the massive vector multiplet and the massive self-dual 2-form multiplet. Some applications to super-Yang-Mills, supergravity and little string theories are considered.
| 6.833222
| 5.932502
| 6.283295
| 5.329507
| 5.715772
| 5.773866
| 5.587012
| 5.981593
| 5.4448
| 6.290524
| 4.984758
| 5.350955
| 5.892953
| 5.378072
| 5.643662
| 5.270039
| 5.584929
| 5.50141
| 5.620675
| 5.997666
| 5.316454
|
hep-th/9905074
|
Alexander Zaslavsky
|
Vladimir Skalozub, Alexander Zaslavsky (Dniepropetrovsk University,
Ukraine)
|
The Vortex Solution in the (2+1)-Dimensional Yang-Mills-Chern-Simons
Theory at High Temperature
|
9 pages, LaTeX, no figures, a4, cite.sty
| null | null | null |
hep-th
| null |
The vortex-like solution to the non-linear field equations in a
two-dimensional SU(2) gauge theory with the Chern-Simons mass term is found at
high temperature. It is derived from the effective Lagrangian including the
leading order finite temperature corrections. The discovered field
configuration possesses the finite energy and the quantized magnetic flux. At
the centre of the vortex the point charge is located which is surrounded by the
distributed charge of the opposite sign and the vortex is neutral as a whole.
At high temperature the energy of the vortex is negative and it corresponds to
the ground state. The derived solution is considered to be a result of heating
the lattice vacuum structure formed at zero temperature.
|
[
{
"created": "Tue, 11 May 1999 14:44:07 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Skalozub",
"Vladimir",
"",
"Dniepropetrovsk University,\n Ukraine"
],
[
"Zaslavsky",
"Alexander",
"",
"Dniepropetrovsk University,\n Ukraine"
]
] |
The vortex-like solution to the non-linear field equations in a two-dimensional SU(2) gauge theory with the Chern-Simons mass term is found at high temperature. It is derived from the effective Lagrangian including the leading order finite temperature corrections. The discovered field configuration possesses the finite energy and the quantized magnetic flux. At the centre of the vortex the point charge is located which is surrounded by the distributed charge of the opposite sign and the vortex is neutral as a whole. At high temperature the energy of the vortex is negative and it corresponds to the ground state. The derived solution is considered to be a result of heating the lattice vacuum structure formed at zero temperature.
| 10.046038
| 8.689255
| 10.327548
| 8.965219
| 9.547444
| 8.366724
| 9.800342
| 9.205608
| 8.645
| 9.877506
| 9.049452
| 9.318211
| 9.266854
| 9.105371
| 9.37458
| 9.447329
| 9.236378
| 9.326363
| 9.056425
| 9.407981
| 9.26461
|
2303.01537
|
Alberto Alonso-Izquierdo Dr
|
A. Alonso-Izquierdo and C. Garzon Sanchez
|
Defects composed of kinks and Q-balls: analytical solutions and
stability
|
10 pages, 5 figures
| null |
10.1103/PhysRevD.107.125004
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper all the defect-type solutions in a family of scalar field
theories with a real and a complex field in (1+1) dimensional Minkowski
spacetime have been analytically identified. Three types of solutions have been
found: (a) topological kinks without the presence of $Q$-balls, (b) defects
which consist of a topological kink coupled with a $Q$-ball and (c) a
one-parameter family of solutions where a $Q$-ball is combined with a
non-topological soliton. The properties of these solutions and its linear
stability are also discussed.
|
[
{
"created": "Thu, 2 Mar 2023 19:01:23 GMT",
"version": "v1"
}
] |
2023-06-21
|
[
[
"Alonso-Izquierdo",
"A.",
""
],
[
"Sanchez",
"C. Garzon",
""
]
] |
In this paper all the defect-type solutions in a family of scalar field theories with a real and a complex field in (1+1) dimensional Minkowski spacetime have been analytically identified. Three types of solutions have been found: (a) topological kinks without the presence of $Q$-balls, (b) defects which consist of a topological kink coupled with a $Q$-ball and (c) a one-parameter family of solutions where a $Q$-ball is combined with a non-topological soliton. The properties of these solutions and its linear stability are also discussed.
| 6.883426
| 5.977244
| 6.621356
| 5.706672
| 5.978659
| 5.901075
| 5.992122
| 5.735921
| 5.663745
| 6.760553
| 5.736464
| 6.078217
| 6.672702
| 6.199624
| 6.257326
| 6.248152
| 6.336561
| 6.114411
| 6.136329
| 6.514715
| 6.334248
|
hep-th/0210154
|
Luiz Agostinho Ferreira
|
O. Babelon and L. A. Ferreira
|
Integrability and Conformal Symmetry in Higher Dimensions: A Model with
Exact Hopfion Solutions
|
30 pages, plain latex
|
JHEP 0211 (2002) 020
|
10.1088/1126-6708/2002/11/020
|
IFT-P.077/02, LPTHE-02.52
|
hep-th
| null |
We use ideas on integrability in higher dimensions to define Lorentz
invariant field theories with an infinite number of local conserved currents.
The models considered have a two dimensional target space. Requiring the
existence of Lagrangean and the stability of static solutions singles out a
class of models which have an additional conformal symmetry. That is used to
explain the existence of an ansatz leading to solutions with non trivial Hopf
charges.
|
[
{
"created": "Wed, 16 Oct 2002 12:30:20 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Babelon",
"O.",
""
],
[
"Ferreira",
"L. A.",
""
]
] |
We use ideas on integrability in higher dimensions to define Lorentz invariant field theories with an infinite number of local conserved currents. The models considered have a two dimensional target space. Requiring the existence of Lagrangean and the stability of static solutions singles out a class of models which have an additional conformal symmetry. That is used to explain the existence of an ansatz leading to solutions with non trivial Hopf charges.
| 15.754374
| 13.30255
| 18.277214
| 14.027338
| 15.122136
| 13.674202
| 16.064587
| 12.885299
| 13.747272
| 17.738501
| 14.376026
| 14.439837
| 15.495022
| 15.079699
| 14.674932
| 14.438766
| 14.093488
| 14.34304
| 14.991226
| 16.641047
| 14.475254
|
0908.0039
|
Ashoke Sen
|
Ashoke Sen
|
Arithmetic of N=8 Black Holes
|
LaTeX file, 12 pages
|
JHEP 1002:090,2010
|
10.1007/JHEP02(2010)090
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The microscopic formula for the degeneracies of 1/8 BPS black holes in type
II string theory compactified on a six dimensional torus can be expressed as a
sum of several terms. One of the terms is a function of the Cremmer-Julia
invariant and gives the leading contribution to the entropy in the large charge
limit. The other terms, which give exponentially subleading contribution,
depend not only on the Cremmer-Julia invariant, but also on the arithmetic
properties of the charges, and in fact exist only when the charges satisfy
special arithmetic properties. We identify the origin of these terms in the
macroscopic formula for the black hole entropy, based on quantum entropy
function, as the contribution from non-trivial saddle point(s) in the path
integral of string theory over the near horizon geometry. These saddle points
exist only when the charge vectors satisfy the arithmetic properties required
for the corresponding term in the microscopic formula to exist. Furthermore the
leading contribution from these saddle points in the large charge limit agrees
with the leading asymptotic behaviour of the corresponding term in the
degeneracy formula.
|
[
{
"created": "Mon, 3 Aug 2009 09:58:24 GMT",
"version": "v1"
}
] |
2010-03-02
|
[
[
"Sen",
"Ashoke",
""
]
] |
The microscopic formula for the degeneracies of 1/8 BPS black holes in type II string theory compactified on a six dimensional torus can be expressed as a sum of several terms. One of the terms is a function of the Cremmer-Julia invariant and gives the leading contribution to the entropy in the large charge limit. The other terms, which give exponentially subleading contribution, depend not only on the Cremmer-Julia invariant, but also on the arithmetic properties of the charges, and in fact exist only when the charges satisfy special arithmetic properties. We identify the origin of these terms in the macroscopic formula for the black hole entropy, based on quantum entropy function, as the contribution from non-trivial saddle point(s) in the path integral of string theory over the near horizon geometry. These saddle points exist only when the charge vectors satisfy the arithmetic properties required for the corresponding term in the microscopic formula to exist. Furthermore the leading contribution from these saddle points in the large charge limit agrees with the leading asymptotic behaviour of the corresponding term in the degeneracy formula.
| 5.109018
| 4.580985
| 5.769229
| 4.667292
| 4.789444
| 4.38774
| 4.700489
| 4.461114
| 4.86772
| 6.109131
| 4.552063
| 4.767326
| 5.292078
| 4.752048
| 4.734725
| 4.62546
| 4.711003
| 4.717358
| 4.867044
| 5.273017
| 4.845466
|
2009.13363
|
Takuya Kanazawa
|
Takuya Kanazawa
|
Non-Hermitian BCS-BEC crossover of Dirac fermions
|
21 pages. v2: references added. v3: section 5 added. published
version
|
JHEP 03 (2021) 121
|
10.1007/JHEP03(2021)121
| null |
hep-th cond-mat.quant-gas cond-mat.supr-con
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate chiral symmetry breaking in a model of Dirac fermions with a
complexified coupling constant whose imaginary part represents dissipation. We
introduce a chiral chemical potential and observe that for real coupling a
relativistic BCS-BEC crossover is realized. We solve the model in the
mean-field approximation and construct the phase diagram as a function of the
complex coupling. It is found that the dynamical mass increases under
dissipation, although the chiral symmetry gets restored if dissipation exceeds
a threshold.
|
[
{
"created": "Mon, 28 Sep 2020 14:33:13 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Oct 2020 11:57:18 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Feb 2021 01:01:12 GMT",
"version": "v3"
}
] |
2021-03-16
|
[
[
"Kanazawa",
"Takuya",
""
]
] |
We investigate chiral symmetry breaking in a model of Dirac fermions with a complexified coupling constant whose imaginary part represents dissipation. We introduce a chiral chemical potential and observe that for real coupling a relativistic BCS-BEC crossover is realized. We solve the model in the mean-field approximation and construct the phase diagram as a function of the complex coupling. It is found that the dynamical mass increases under dissipation, although the chiral symmetry gets restored if dissipation exceeds a threshold.
| 8.578298
| 8.877325
| 8.494846
| 7.779263
| 8.290976
| 8.954277
| 8.448844
| 8.752926
| 7.954045
| 8.311996
| 8.065614
| 8.221544
| 8.551113
| 8.226484
| 8.316984
| 8.256018
| 7.754478
| 8.619629
| 7.833331
| 8.288929
| 7.967076
|
hep-th/0109013
|
Emanuel Scheidegger
|
Emanuel Scheidegger (AEI, Golm)
|
On D0-branes in Gepner models
|
22 pages, substantial improvements in sections 2 and 3, references
added, version to be published
|
JHEP 0208 (2002) 001
|
10.1088/1126-6708/2002/08/001
|
AEI-2001-109
|
hep-th
| null |
We show why and when D0-branes at the Gepner point of Calabi-Yau manifolds
given as Fermat hypersurfaces exist.
|
[
{
"created": "Mon, 3 Sep 2001 14:27:08 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Aug 2002 16:03:43 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Scheidegger",
"Emanuel",
"",
"AEI, Golm"
]
] |
We show why and when D0-branes at the Gepner point of Calabi-Yau manifolds given as Fermat hypersurfaces exist.
| 16.906351
| 13.108165
| 20.287106
| 10.055625
| 13.258952
| 14.291972
| 11.322565
| 11.093292
| 12.480209
| 21.265936
| 11.606047
| 12.814669
| 18.656595
| 12.373152
| 12.571827
| 13.090225
| 12.660824
| 12.305497
| 13.070609
| 18.359386
| 12.649862
|
hep-th/0111014
|
Efrain Rojas
|
Riccardo Capovilla, Jemal Guven and Efrain Rojas
|
Hamiltonian Frenet-Serret dynamics
|
Latex file, 14 pages, no figures. Revised version to appear in Class.
Quant. Grav
|
Class.Quant.Grav. 19 (2002) 2277-2290
|
10.1088/0264-9381/19/8/315
|
SU-4252-748
|
hep-th gr-qc math-ph math.MP
| null |
The Hamiltonian formulation of the dynamics of a relativistic particle
described by a higher-derivative action that depends both on the first and the
second Frenet-Serret curvatures is considered from a geometrical perspective.
We demonstrate how reparametrization covariant dynamical variables and their
projections onto the Frenet-Serret frame can be exploited to provide not only a
significant simplification of but also novel insights into the canonical
analysis. The constraint algebra and the Hamiltonian equations of motion are
written down and a geometrical interpretation is provided for the canonical
variables.
|
[
{
"created": "Thu, 1 Nov 2001 16:44:48 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Mar 2002 20:41:33 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Capovilla",
"Riccardo",
""
],
[
"Guven",
"Jemal",
""
],
[
"Rojas",
"Efrain",
""
]
] |
The Hamiltonian formulation of the dynamics of a relativistic particle described by a higher-derivative action that depends both on the first and the second Frenet-Serret curvatures is considered from a geometrical perspective. We demonstrate how reparametrization covariant dynamical variables and their projections onto the Frenet-Serret frame can be exploited to provide not only a significant simplification of but also novel insights into the canonical analysis. The constraint algebra and the Hamiltonian equations of motion are written down and a geometrical interpretation is provided for the canonical variables.
| 8.346791
| 7.546079
| 7.314789
| 7.553434
| 8.32075
| 8.226278
| 7.617444
| 7.527398
| 7.495213
| 8.159852
| 7.297519
| 7.719533
| 7.919058
| 7.660794
| 7.819699
| 8.011103
| 7.92055
| 7.825393
| 8.015925
| 8.139859
| 7.79692
|
1107.2645
|
Plamen Bozhilov
|
Plamen Bozhilov
|
More three-point correlators of giant magnons with finite size
|
14 pages, no figures
|
JHEP 1108:121,2011
|
10.1007/JHEP08(2011)121
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the framework of the semiclassical approach, we compute the normalized
structure constants in three-point correlation functions, when two of the
vertex operators correspond to heavy string states, while the third vertex
corresponds to a light state. This is done for the case when the heavy string
states are finite-size giant magnons with one or two angular momenta, and for
two different choices of the light state, corresponding to dilaton operator and
primary scalar operator. The relevant operators in the dual gauge theory are
Tr(F_{\mu\nu}^2 Z^j+...) and Tr(Z^j). We first consider the case of AdS_5 x S^5
and N = 4 super Yang-Mills. Then we extend the obtained results to the
gamma-deformed AdS_5 x S^5_\gamma, dual to N = 1 super Yang-Mills theory,
arising as an exactly marginal deformation of N = 4 super Yang-Mills.
|
[
{
"created": "Wed, 13 Jul 2011 19:54:08 GMT",
"version": "v1"
}
] |
2011-10-06
|
[
[
"Bozhilov",
"Plamen",
""
]
] |
In the framework of the semiclassical approach, we compute the normalized structure constants in three-point correlation functions, when two of the vertex operators correspond to heavy string states, while the third vertex corresponds to a light state. This is done for the case when the heavy string states are finite-size giant magnons with one or two angular momenta, and for two different choices of the light state, corresponding to dilaton operator and primary scalar operator. The relevant operators in the dual gauge theory are Tr(F_{\mu\nu}^2 Z^j+...) and Tr(Z^j). We first consider the case of AdS_5 x S^5 and N = 4 super Yang-Mills. Then we extend the obtained results to the gamma-deformed AdS_5 x S^5_\gamma, dual to N = 1 super Yang-Mills theory, arising as an exactly marginal deformation of N = 4 super Yang-Mills.
| 6.788104
| 4.654461
| 7.543267
| 5.091339
| 5.048992
| 4.690798
| 4.675338
| 5.132624
| 5.168868
| 8.250775
| 5.180266
| 5.772378
| 6.596708
| 5.99902
| 5.923386
| 5.898448
| 5.665319
| 5.74011
| 6.178024
| 6.708125
| 5.886316
|
1609.07621
|
Tianheng Wang
|
Gang Chen, Yeuk-Kwan E. Cheung, Tianheng Wang, Feng Xu
|
A differential operator for integrating one-loop scattering equations
|
37 pages
|
JHEP 1701 (2017) 028
|
10.1007/JHEP01(2017)028
| null |
hep-th hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a differential operator for computing the residues associated with
a class of meromorphic $n$-forms that frequently appear in the Cachazo-He-Yuan
form of the scattering amplitudes. This differential operator is conjectured to
be uniquely determined by the local duality theorem and the intersection number
of the divisors in the $n$-form. We use the operator to evaluate the tree-level
amplitude of $\phi^3$ theory and the one-loop integrand of Yang-Mills theory
from their CHY forms. The method can reduce the complexity of the calculation.
In addition, the expression for the 1-loop four-point Yang-Mills integrand
obtained in our approach has a clear correspondence with the Q-cut results.
|
[
{
"created": "Sat, 24 Sep 2016 13:53:22 GMT",
"version": "v1"
}
] |
2019-01-23
|
[
[
"Chen",
"Gang",
""
],
[
"Cheung",
"Yeuk-Kwan E.",
""
],
[
"Wang",
"Tianheng",
""
],
[
"Xu",
"Feng",
""
]
] |
We propose a differential operator for computing the residues associated with a class of meromorphic $n$-forms that frequently appear in the Cachazo-He-Yuan form of the scattering amplitudes. This differential operator is conjectured to be uniquely determined by the local duality theorem and the intersection number of the divisors in the $n$-form. We use the operator to evaluate the tree-level amplitude of $\phi^3$ theory and the one-loop integrand of Yang-Mills theory from their CHY forms. The method can reduce the complexity of the calculation. In addition, the expression for the 1-loop four-point Yang-Mills integrand obtained in our approach has a clear correspondence with the Q-cut results.
| 8.178955
| 7.634645
| 8.704466
| 7.426334
| 7.506752
| 8.47005
| 8.199073
| 7.889823
| 7.75988
| 10.582889
| 7.713205
| 7.368914
| 8.464807
| 7.602718
| 7.502422
| 7.71899
| 7.688455
| 7.667677
| 7.54715
| 8.35283
| 7.326269
|
1501.06620
|
Sa\v{s}o Grozdanov
|
Sa\v{s}o Grozdanov, Janos Polonyi
|
Dynamics of the electric current in an ideal electron gas: a sound mode
inside the quasi-particles
|
V2: 58 pages, 16 figures, 3 tables. Minor clarifications added, an
appendix relating linear response theory to the CTP formalism is added, the
version is to appear in PRD
|
Phys. Rev. D 92, 065009 (2015)
|
10.1103/PhysRevD.92.065009
|
OUTP-14-16P
|
hep-th cond-mat.quant-gas hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the equation of motion for the Noether current in an electron gas
within the framework of the Schwinger-Keldysh Closed-Time-Path formalism. The
equation is shown to be highly non-linear and irreversible even for a
non-interacting, ideal gas of electrons at non-zero density. We truncate the
linearised equation of motion, written as the Laurent series in Fourier space,
so that the resulting expressions are local in time, both at zero and at small
finite temperatures. Furthermore, we show that the one-loop Coulomb
interactions only alter the physical picture quantitatively, while preserving
the characteristics of the dynamics that the electric current exhibits in the
absence of interactions. As a result of the composite nature of the Noether
current, {\it composite sound} waves are found to be the dominant IR collective
excitations at length scales between the inverse Fermi momentum and the mean
free path that would exist in an interacting electron gas. We also discuss the
difference and the transition between the hydrodynamical regime of an ideal
gas, defined in this work, and the hydrodynamical regime in phenomenological
hydrodynamics, which is normally used for the description of interacting gases.
|
[
{
"created": "Mon, 26 Jan 2015 23:17:56 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Sep 2015 13:05:05 GMT",
"version": "v2"
}
] |
2015-09-18
|
[
[
"Grozdanov",
"Sašo",
""
],
[
"Polonyi",
"Janos",
""
]
] |
We study the equation of motion for the Noether current in an electron gas within the framework of the Schwinger-Keldysh Closed-Time-Path formalism. The equation is shown to be highly non-linear and irreversible even for a non-interacting, ideal gas of electrons at non-zero density. We truncate the linearised equation of motion, written as the Laurent series in Fourier space, so that the resulting expressions are local in time, both at zero and at small finite temperatures. Furthermore, we show that the one-loop Coulomb interactions only alter the physical picture quantitatively, while preserving the characteristics of the dynamics that the electric current exhibits in the absence of interactions. As a result of the composite nature of the Noether current, {\it composite sound} waves are found to be the dominant IR collective excitations at length scales between the inverse Fermi momentum and the mean free path that would exist in an interacting electron gas. We also discuss the difference and the transition between the hydrodynamical regime of an ideal gas, defined in this work, and the hydrodynamical regime in phenomenological hydrodynamics, which is normally used for the description of interacting gases.
| 11.244267
| 11.888076
| 11.619134
| 10.700822
| 11.565992
| 12.115838
| 11.37356
| 11.497471
| 10.785112
| 11.254433
| 10.90232
| 10.820439
| 11.003972
| 10.845321
| 10.753943
| 10.977621
| 11.082998
| 11.150871
| 10.538797
| 11.003153
| 10.76268
|
hep-th/0505066
|
Nobuhito Maru
|
Nobuhito Maru and Kazunori Takenaga
|
Aspects of Phase Transition in Gauge-Higgs Unification at Finite
Temperature
|
18 pages, 7 figures, references corrected, minor correction
|
Phys.Rev.D72:046003,2005
|
10.1103/PhysRevD.72.046003
|
RIKEN-TH-42, OU-HET-526/2005
|
hep-th hep-ph
| null |
We study the phase transition in gauge-Higgs unification at finite
temperature. In particular, we obtain the strong first order electroweak phase
transition for a simple matter content yielding the correct order of Higgs mass
at zero temperature. Two stage phase transition is found for a particular
matter content, which is the strong first order at each stage. We further study
supersymmetric gauge models with the Scherk-Schwarz supersymmetry breaking. We
again observe the first order electroweak phase transition and multi stage
phase transition.
|
[
{
"created": "Sat, 7 May 2005 08:58:06 GMT",
"version": "v1"
},
{
"created": "Tue, 10 May 2005 08:20:44 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Maru",
"Nobuhito",
""
],
[
"Takenaga",
"Kazunori",
""
]
] |
We study the phase transition in gauge-Higgs unification at finite temperature. In particular, we obtain the strong first order electroweak phase transition for a simple matter content yielding the correct order of Higgs mass at zero temperature. Two stage phase transition is found for a particular matter content, which is the strong first order at each stage. We further study supersymmetric gauge models with the Scherk-Schwarz supersymmetry breaking. We again observe the first order electroweak phase transition and multi stage phase transition.
| 9.600947
| 9.4631
| 7.986664
| 8.876432
| 9.159554
| 9.887403
| 9.243463
| 9.999726
| 7.856501
| 8.409456
| 8.944191
| 9.003827
| 8.590228
| 8.719371
| 9.046041
| 9.250789
| 8.926343
| 8.965725
| 8.522683
| 8.854108
| 9.30196
|
2206.06507
|
Ellis Ye Yuan
|
Jianyu Gong and Ellis Ye Yuan
|
Towards Analytic Structure of Feynman Parameter Integrals with Rational
Curves
|
52 pages, 14 figures
| null |
10.1007/JHEP10(2022)145
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We propose a strategy to study the analytic structure of Feynman parameter
integrals where singularities of the integrand consist of rational irreducible
components. At the core of this strategy is the identification of a selected
stratum of discontinuities induced from the integral, together with a geometric
method for computing their singularities on the principal sheet. For integrals
that yield multiple polylogarithms we expect the data collected in this
strategy to be sufficient for the construction of their symbols. We motivate
this analysis by the Aomoto polylogarithms, and further check its validity and
illustrate technical details using examples with quadric integrand
singularities (which the one-loop Feynman integrals belong to). Generalizations
to higher-loop integrals are commented at the end.
|
[
{
"created": "Mon, 13 Jun 2022 22:24:48 GMT",
"version": "v1"
}
] |
2022-11-09
|
[
[
"Gong",
"Jianyu",
""
],
[
"Yuan",
"Ellis Ye",
""
]
] |
We propose a strategy to study the analytic structure of Feynman parameter integrals where singularities of the integrand consist of rational irreducible components. At the core of this strategy is the identification of a selected stratum of discontinuities induced from the integral, together with a geometric method for computing their singularities on the principal sheet. For integrals that yield multiple polylogarithms we expect the data collected in this strategy to be sufficient for the construction of their symbols. We motivate this analysis by the Aomoto polylogarithms, and further check its validity and illustrate technical details using examples with quadric integrand singularities (which the one-loop Feynman integrals belong to). Generalizations to higher-loop integrals are commented at the end.
| 17.564947
| 19.199808
| 19.100771
| 17.8631
| 20.01309
| 18.718779
| 19.139912
| 18.719082
| 16.816374
| 21.424456
| 17.122616
| 17.406742
| 17.828192
| 17.209013
| 17.831335
| 17.452969
| 16.630899
| 18.147886
| 16.694008
| 16.697254
| 17.292212
|
1912.13435
|
Walter Goldberger
|
Walter D. Goldberger, Ira Z. Rothstein
|
An Effective Field Theory of Quantum Mechanical Black Hole Horizons
|
20 pages LaTeX, 5 figures
| null |
10.1007/JHEP04(2020)056
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop an effective theory which describes black holes with quantum
mechanical horizons that is valid at scales long compared to the Schwarzschild
radius but short compared to the lifetime of the black hole. Our formalism
allows one to calculate the quantum mechanical effects in scattering processes
involving black hole asymptotic states. We point out that the EFT Wightman
functions which describe Hawking radiation in the Unruh vacuum are not Planck
suppressed and are actually {\it enhanced} relative to those in the Boulware
vacuum, for which such radiation is absent. We elaborate on this point showing
how the non-Planck suppressed effects of Hawking radiation cancel in classical
observables.
|
[
{
"created": "Tue, 31 Dec 2019 17:12:39 GMT",
"version": "v1"
}
] |
2020-05-20
|
[
[
"Goldberger",
"Walter D.",
""
],
[
"Rothstein",
"Ira Z.",
""
]
] |
We develop an effective theory which describes black holes with quantum mechanical horizons that is valid at scales long compared to the Schwarzschild radius but short compared to the lifetime of the black hole. Our formalism allows one to calculate the quantum mechanical effects in scattering processes involving black hole asymptotic states. We point out that the EFT Wightman functions which describe Hawking radiation in the Unruh vacuum are not Planck suppressed and are actually {\it enhanced} relative to those in the Boulware vacuum, for which such radiation is absent. We elaborate on this point showing how the non-Planck suppressed effects of Hawking radiation cancel in classical observables.
| 10.341725
| 10.473302
| 11.002038
| 9.782036
| 10.45474
| 10.716322
| 10.210051
| 10.282289
| 10.322547
| 10.4101
| 10.230619
| 10.067288
| 10.197373
| 9.737922
| 10.381401
| 10.351886
| 10.104201
| 9.799231
| 9.682551
| 10.17927
| 10.1431
|
hep-th/0505258
|
Eugene Loginov
|
E.K. Loginov
|
Multi-instantons and superstring solitons
|
6 pages, LaTeX, no figures
|
Phys.Lett. B618 (2005) 265-268
|
10.1016/j.physletb.2005.05.042
| null |
hep-th
| null |
Multi-instanton solutions in the eight and seven dimensional Yang-Mills
fields theory is obtained. Extended-soliton solutions to the low-energy
heterotic-field-theory equations of motion is constructed from this
higher-dimensional multi-instantons.
|
[
{
"created": "Mon, 30 May 2005 07:45:48 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Loginov",
"E. K.",
""
]
] |
Multi-instanton solutions in the eight and seven dimensional Yang-Mills fields theory is obtained. Extended-soliton solutions to the low-energy heterotic-field-theory equations of motion is constructed from this higher-dimensional multi-instantons.
| 26.212479
| 14.123459
| 19.289402
| 16.036339
| 14.816207
| 13.334526
| 13.937761
| 15.103925
| 14.767035
| 22.271448
| 15.455058
| 15.691767
| 17.521873
| 17.001301
| 15.472592
| 16.011543
| 16.049229
| 15.97048
| 16.352116
| 19.754345
| 18.270365
|
2010.05936
|
Gabriele Lo Monaco
|
Iosif Bena, G. Bruno De Luca, Mariana Gra\~na and Gabriele Lo Monaco
|
Oh, wait, O8 de Sitter may be unstable!
|
19 pages and 4 figures. Version 2: references added
| null |
10.1007/JHEP03(2021)168
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the stability of four-dimensional de Sitter vacua constructed by
compactifying massive Type IIA supergravity in the presence of two O8 sources
[1]. When embedded in String Theory the first source has a clear interpretation
as an O8$_-$ plane, but the second one could correspond to either an O8$_+$
plane or to an O8$_-$ plane with 16 D8-branes on top. We find that this latter
solution has a tachyonic instability, corresponding to the D8-branes moving
away from the O8$_-$ plane. We comment on the possible ways of distinguishing
between these sources.
|
[
{
"created": "Mon, 12 Oct 2020 18:01:33 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Nov 2020 11:40:41 GMT",
"version": "v2"
}
] |
2021-03-31
|
[
[
"Bena",
"Iosif",
""
],
[
"De Luca",
"G. Bruno",
""
],
[
"Graña",
"Mariana",
""
],
[
"Monaco",
"Gabriele Lo",
""
]
] |
We analyze the stability of four-dimensional de Sitter vacua constructed by compactifying massive Type IIA supergravity in the presence of two O8 sources [1]. When embedded in String Theory the first source has a clear interpretation as an O8$_-$ plane, but the second one could correspond to either an O8$_+$ plane or to an O8$_-$ plane with 16 D8-branes on top. We find that this latter solution has a tachyonic instability, corresponding to the D8-branes moving away from the O8$_-$ plane. We comment on the possible ways of distinguishing between these sources.
| 7.262748
| 6.746917
| 8.175232
| 6.822518
| 7.269651
| 7.028214
| 7.024089
| 6.40705
| 6.444848
| 8.972049
| 6.169144
| 6.904539
| 7.114652
| 6.713183
| 6.903511
| 6.772563
| 6.77065
| 7.055738
| 6.954421
| 7.151121
| 6.740266
|
0903.2079
|
Michael Kuchiev
|
Michael Kuchiev
|
Semiclassical solution for Yang-Mills field with given energy
|
12 pages, 6 figures
|
Phys.Rev.D79:105004,2009
|
10.1103/PhysRevD.79.105004
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A new classical solution for the Yang-Mills theory in which the Euclidean
energy plays a role of a parameter is discussed. The instanton and sphaleron
are shown to be particular examples of this more general solution. The energy
parameter for them takes on special values, which are zero and sphaleron mass
for the instanton and sphaleron, respectively. The solution is employed to
describe the tunneling process, which is accompanied by a variation of the
topological charge. A range of temperatures, where the new solution makes this
tunneling more effective than the known mechanisms based on the instanton,
caloron or sphaleron is found.
|
[
{
"created": "Thu, 12 Mar 2009 00:06:04 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Apr 2009 05:46:57 GMT",
"version": "v2"
}
] |
2009-10-29
|
[
[
"Kuchiev",
"Michael",
""
]
] |
A new classical solution for the Yang-Mills theory in which the Euclidean energy plays a role of a parameter is discussed. The instanton and sphaleron are shown to be particular examples of this more general solution. The energy parameter for them takes on special values, which are zero and sphaleron mass for the instanton and sphaleron, respectively. The solution is employed to describe the tunneling process, which is accompanied by a variation of the topological charge. A range of temperatures, where the new solution makes this tunneling more effective than the known mechanisms based on the instanton, caloron or sphaleron is found.
| 9.854879
| 8.687025
| 9.407505
| 9.370216
| 8.539736
| 8.378492
| 9.456598
| 9.285579
| 8.672297
| 9.82777
| 8.893224
| 8.93729
| 9.174312
| 8.567471
| 8.730915
| 9.136265
| 9.096041
| 9.224477
| 8.793291
| 9.410259
| 9.086044
|
hep-th/0607075
|
Jaemo Park
|
Jaemo Park and Woojoo Sim
|
Recursive relations for a quiver gauge theory
|
33 pages and 2 figures, minor corrections
|
JHEP0610:026,2006
|
10.1088/1126-6708/2006/10/026
| null |
hep-th
| null |
We study the recursive relations for a quiver gauge theory with the gauge
group $SU(N_1)\times SU(N_2)$ with bifundamental fermions transforming as
$(N_1,\bar{N_2})$. We work out the recursive relation for the amplitudes
involving a pair of quark and antiquark and gluons of each gauge group. We
realize directly in the recursive relations the invariance under the order
preserving permutations of the gluons of the first and the second gauge group.
We check the proposed relations for MHV, 6-point and 7-point amplitudes and
find the agreements with the known results and the known relations with the
single gauge group amplitudes. The proposed recursive relation is much more
efficient in calculating the amplitudes than using the known relations with the
amplitudes of the single gauge group.
|
[
{
"created": "Wed, 12 Jul 2006 09:05:08 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Aug 2006 06:37:24 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Park",
"Jaemo",
""
],
[
"Sim",
"Woojoo",
""
]
] |
We study the recursive relations for a quiver gauge theory with the gauge group $SU(N_1)\times SU(N_2)$ with bifundamental fermions transforming as $(N_1,\bar{N_2})$. We work out the recursive relation for the amplitudes involving a pair of quark and antiquark and gluons of each gauge group. We realize directly in the recursive relations the invariance under the order preserving permutations of the gluons of the first and the second gauge group. We check the proposed relations for MHV, 6-point and 7-point amplitudes and find the agreements with the known results and the known relations with the single gauge group amplitudes. The proposed recursive relation is much more efficient in calculating the amplitudes than using the known relations with the amplitudes of the single gauge group.
| 5.351285
| 5.74865
| 5.392292
| 5.603935
| 5.359195
| 5.748356
| 5.909647
| 5.664252
| 5.558999
| 6.027208
| 5.39055
| 5.27188
| 5.318223
| 5.289912
| 5.448645
| 5.403242
| 5.255526
| 5.362514
| 5.156823
| 5.284672
| 5.243528
|
hep-th/9507122
|
Alfonso Jaramillo
|
A. Ferrando and A. Jaramillo (Univ. of Valencia)
|
The Role of Temperature in a Dimensional Approach to QCD_3
|
27 pages, 3 postscript figures. Changes in section 5
|
Nucl.Phys. B457 (1995) 57-80
|
10.1016/0550-3213(95)00531-5
|
FTUV/95-40,IFIC/95-42
|
hep-th
| null |
We analyze the role played by temperature in QCD_3 by means of a dimensional
interpolating approach. Pure gauge QCD_3 is defined on a strip of finite width
L, which acts as an interpolating parameter between two and three dimensions. A
two-dimensional effective theory can be constructed for small enough widths
giving the same longitudinal physics as QCD_3. Explicit calculations of
T-dependent QCD_3 observables can thus be performed. The generation of a
deconfinig phase transition, absent in QCD_2, is proven through an exact
calculation of the electric or Debye mass at high T. Low and high T behaviors
of relevant thermodynamic functions are also worked out. An accurate estimate
of the critical temperature is given and its evolution with L is studied in
detail.
|
[
{
"created": "Mon, 24 Jul 1995 10:06:18 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Jul 1995 14:42:54 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Ferrando",
"A.",
"",
"Univ. of Valencia"
],
[
"Jaramillo",
"A.",
"",
"Univ. of Valencia"
]
] |
We analyze the role played by temperature in QCD_3 by means of a dimensional interpolating approach. Pure gauge QCD_3 is defined on a strip of finite width L, which acts as an interpolating parameter between two and three dimensions. A two-dimensional effective theory can be constructed for small enough widths giving the same longitudinal physics as QCD_3. Explicit calculations of T-dependent QCD_3 observables can thus be performed. The generation of a deconfinig phase transition, absent in QCD_2, is proven through an exact calculation of the electric or Debye mass at high T. Low and high T behaviors of relevant thermodynamic functions are also worked out. An accurate estimate of the critical temperature is given and its evolution with L is studied in detail.
| 11.974459
| 12.83193
| 11.74484
| 11.462893
| 12.63133
| 12.623825
| 12.187951
| 11.518806
| 11.89382
| 13.150728
| 11.970345
| 12.231977
| 11.872562
| 11.463156
| 11.755231
| 11.730487
| 11.872713
| 12.202808
| 11.385582
| 11.435519
| 11.58648
|
hep-th/0604042
|
Gabriele Tartaglino-Mazzucchelli
|
S. J. Gates, Jr., S. Penati, G. Tartaglino-Mazzucchelli
|
6D Supersymmetric Nonlinear Sigma-Models in 4D, N=1 Superspace
|
35 pages, LaTeX. v3: some comments added, version to appear in JHEP
|
JHEP0609:006,2006
|
10.1088/1126-6708/2006/09/006
|
UMDEPP 06-003, Bicocca-FT-06-6
|
hep-th
| null |
Using 4D, N=1 superfield techniques, a discussion of the 6D sigma-model
possessing simple supersymmetry is given. Two such approaches are described.
Foremost it is shown that the simplest and most transparent description arises
by use of a doublet of chiral scalar superfields for each 6D hypermultiplet. A
second description that is most directly related to projective superspace is
also presented. The latter necessarily implies the use of one chiral superfield
and one nonminimal scalar superfield for each 6D hypermultiplet. A separate
study of models of this class, outside the context of projective superspace, is
also undertaken.
|
[
{
"created": "Thu, 6 Apr 2006 14:06:49 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Apr 2006 17:26:18 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Aug 2006 10:04:40 GMT",
"version": "v3"
}
] |
2012-08-27
|
[
[
"Gates,",
"S. J.",
"Jr."
],
[
"Penati",
"S.",
""
],
[
"Tartaglino-Mazzucchelli",
"G.",
""
]
] |
Using 4D, N=1 superfield techniques, a discussion of the 6D sigma-model possessing simple supersymmetry is given. Two such approaches are described. Foremost it is shown that the simplest and most transparent description arises by use of a doublet of chiral scalar superfields for each 6D hypermultiplet. A second description that is most directly related to projective superspace is also presented. The latter necessarily implies the use of one chiral superfield and one nonminimal scalar superfield for each 6D hypermultiplet. A separate study of models of this class, outside the context of projective superspace, is also undertaken.
| 11.244815
| 9.676124
| 11.161713
| 10.006695
| 9.787091
| 10.451062
| 10.14354
| 10.417716
| 9.875431
| 11.175241
| 10.098287
| 10.072094
| 10.764973
| 9.805365
| 9.822621
| 9.812743
| 9.914825
| 10.020287
| 9.946374
| 10.923061
| 9.836145
|
1611.04952
|
Supriya Kar
|
Supriya Kar and R. Nitish
|
Mass generation from a non-perturbative correction: Massive NS-field and
graviton in $(3+1)$-dimensions
|
6 pages, 1 figure, typos corrected
|
Prog Theor Exp Phys (2019)
|
10.1093/ptep/ptz021
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the massless form fields, in $(4+1)$-dimensional
non-perturbation theory of emergent gravity, become massive in a perturbative
phase without Higgs mechanism. In particular an axionic scalar sourced by a
non-perturbative dynamical correction is absorbed by the form fields to
describe a massive NS field theory on an emergent gravitational pair of
$(3{\bar 3})$-brane. Arguably the novel idea of Higgs mechanism is naturally
invoked in an emergent gravity underlying a ${\rm CFT}_6$. Analysis reveals
"gravito-weak" and "electro-weak" phases respectively on a vacuum pair in
$(4+1)$ and $(3+1)$-dimensions. It is argued that the massive NS field quanta
may govern an emergent graviton on a gravitational $3$-brane.
|
[
{
"created": "Tue, 15 Nov 2016 17:32:12 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Nov 2016 16:13:28 GMT",
"version": "v2"
}
] |
2019-12-06
|
[
[
"Kar",
"Supriya",
""
],
[
"Nitish",
"R.",
""
]
] |
We show that the massless form fields, in $(4+1)$-dimensional non-perturbation theory of emergent gravity, become massive in a perturbative phase without Higgs mechanism. In particular an axionic scalar sourced by a non-perturbative dynamical correction is absorbed by the form fields to describe a massive NS field theory on an emergent gravitational pair of $(3{\bar 3})$-brane. Arguably the novel idea of Higgs mechanism is naturally invoked in an emergent gravity underlying a ${\rm CFT}_6$. Analysis reveals "gravito-weak" and "electro-weak" phases respectively on a vacuum pair in $(4+1)$ and $(3+1)$-dimensions. It is argued that the massive NS field quanta may govern an emergent graviton on a gravitational $3$-brane.
| 16.81146
| 14.423345
| 17.284075
| 15.685666
| 15.714686
| 15.225968
| 14.568493
| 15.218997
| 15.008902
| 18.371464
| 14.351851
| 15.060329
| 17.131657
| 15.955053
| 15.764522
| 15.567901
| 15.998178
| 15.519963
| 15.866277
| 16.60906
| 15.306408
|
0709.2166
|
Simeon Hellerman
|
Simeon Hellerman, Ian Swanson
|
Supercritical N = 2 string theory
|
58 pages
| null | null | null |
hep-th
| null |
The N=2 string is examined in dimensions above the critical dimension (D=4)
in a linear dilaton background. We demonstrate that string states in this
background propagate in a single physical time dimension, as opposed to two
such dimensions present when the dilaton gradient vanishes in D=4. We also find
exact solutions describing dynamical dimensional reduction and transitions from
N=2 string theory to bosonic string theory via closed-string tachyon
condensation.
|
[
{
"created": "Thu, 13 Sep 2007 20:11:09 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Sep 2007 19:56:45 GMT",
"version": "v2"
}
] |
2007-09-17
|
[
[
"Hellerman",
"Simeon",
""
],
[
"Swanson",
"Ian",
""
]
] |
The N=2 string is examined in dimensions above the critical dimension (D=4) in a linear dilaton background. We demonstrate that string states in this background propagate in a single physical time dimension, as opposed to two such dimensions present when the dilaton gradient vanishes in D=4. We also find exact solutions describing dynamical dimensional reduction and transitions from N=2 string theory to bosonic string theory via closed-string tachyon condensation.
| 11.696014
| 11.671116
| 11.130837
| 10.106548
| 11.676105
| 11.309127
| 11.017442
| 10.336482
| 9.920018
| 11.609716
| 10.163832
| 10.854165
| 11.382667
| 10.503817
| 10.167413
| 10.335896
| 10.663969
| 10.399523
| 10.525113
| 11.306819
| 10.586603
|
1609.05770
|
Gerald V. Dunne
|
Gerald V. Dunne and Mithat Unsal
|
Deconstructing zero: resurgence, supersymmetry and complex saddles
|
19 pp
| null |
10.1007/JHEP12(2016)002
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explain how a vanishing, or truncated, perturbative expansion, such as
often arises in semi-classically tractable supersymmetric theories, can
nevertheless be related to fluctuations about non-perturbative sectors via
resurgence. We also demonstrate that, in the same class of theories, the
vanishing of the ground state energy (unbroken supersymmetry) can be attributed
to the cancellation between a real saddle and a complex saddle (with hidden
topological angle pi), and positivity of the ground state energy (broken
supersymmetry) can be interpreted as the dominance of complex saddles. In
either case, despite the fact that the ground state energy is zero to all
orders in perturbation theory, all orders of fluctuations around
non-perturbative saddles are encoded in the perturbative E(N, g). We illustrate
these ideas with examples from supersymmetric quantum mechanics and quantum
field theory.
|
[
{
"created": "Mon, 19 Sep 2016 15:17:50 GMT",
"version": "v1"
}
] |
2016-12-21
|
[
[
"Dunne",
"Gerald V.",
""
],
[
"Unsal",
"Mithat",
""
]
] |
We explain how a vanishing, or truncated, perturbative expansion, such as often arises in semi-classically tractable supersymmetric theories, can nevertheless be related to fluctuations about non-perturbative sectors via resurgence. We also demonstrate that, in the same class of theories, the vanishing of the ground state energy (unbroken supersymmetry) can be attributed to the cancellation between a real saddle and a complex saddle (with hidden topological angle pi), and positivity of the ground state energy (broken supersymmetry) can be interpreted as the dominance of complex saddles. In either case, despite the fact that the ground state energy is zero to all orders in perturbation theory, all orders of fluctuations around non-perturbative saddles are encoded in the perturbative E(N, g). We illustrate these ideas with examples from supersymmetric quantum mechanics and quantum field theory.
| 9.171549
| 8.93185
| 9.332238
| 8.114424
| 8.741956
| 9.467826
| 8.825274
| 8.865586
| 8.325322
| 9.472805
| 8.846902
| 8.481115
| 8.469464
| 8.384933
| 8.686418
| 8.473435
| 8.440438
| 8.702072
| 8.342514
| 8.681299
| 8.419801
|
2107.00373
|
Kieran Macfarlane
|
Nabil Iqbal and Kieran Macfarlane
|
Higher-form symmetry breaking and holographic flavour
|
35 pages + appendices, 9 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study the realisation of higher-form symmetries in the holographic dual of
gauge theories coupled to probe matter in the fundamental. We particularly
focus on the dual of U(N) gauge theory coupled to fundamental matter. We
demonstrate the existence of a continuous 1-form symmetry associated with the
conservation of magnetic flux and show that this symmetry is spontaneously
broken in the IR when the flavour degrees of freedom are gapped. We numerically
compute the spectral function of the 2-form current and demonstrate the
existence of the associated Goldstone mode. We compare to expectations at
weak-coupling.
|
[
{
"created": "Thu, 1 Jul 2021 11:19:37 GMT",
"version": "v1"
}
] |
2021-07-02
|
[
[
"Iqbal",
"Nabil",
""
],
[
"Macfarlane",
"Kieran",
""
]
] |
We study the realisation of higher-form symmetries in the holographic dual of gauge theories coupled to probe matter in the fundamental. We particularly focus on the dual of U(N) gauge theory coupled to fundamental matter. We demonstrate the existence of a continuous 1-form symmetry associated with the conservation of magnetic flux and show that this symmetry is spontaneously broken in the IR when the flavour degrees of freedom are gapped. We numerically compute the spectral function of the 2-form current and demonstrate the existence of the associated Goldstone mode. We compare to expectations at weak-coupling.
| 7.483582
| 7.059898
| 7.572625
| 6.614563
| 6.407235
| 7.361801
| 6.354603
| 6.692084
| 6.87511
| 7.500015
| 6.669289
| 6.990833
| 7.192193
| 6.807674
| 6.934143
| 6.87604
| 6.854998
| 6.908041
| 6.945524
| 7.429323
| 6.71757
|
hep-th/9508089
| null |
David I Olive (University of Wales Swansea)
|
Exact Electromagnetic Duality
|
20 pages
|
Nucl.Phys.Proc.Suppl. 45A (1996) 88-102; Nucl.Phys.Proc.Suppl. 46
(1996) 1-15
|
10.1016/0920-5632(95)00618-4
|
SWAT/94-95/81
|
hep-th
| null |
This talk, given at several conferences and meetings, explains the background
leading to the formulation of the exact electromagnetic duality conjecture
believed to be valid in N=4 supersymmetric SU(2) gauge theory.
|
[
{
"created": "Fri, 18 Aug 1995 10:33:39 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Olive",
"David I",
"",
"University of Wales Swansea"
]
] |
This talk, given at several conferences and meetings, explains the background leading to the formulation of the exact electromagnetic duality conjecture believed to be valid in N=4 supersymmetric SU(2) gauge theory.
| 14.57542
| 12.026316
| 15.31182
| 11.093194
| 11.823397
| 12.415094
| 12.724751
| 11.393191
| 9.937661
| 13.12888
| 11.114511
| 11.941253
| 14.761312
| 12.010648
| 13.605321
| 12.627693
| 13.03668
| 12.327506
| 11.9728
| 12.278254
| 11.344587
|
1911.09302
|
Nicol\'as Vald\'es-Meller
|
William Donnelly, Sydney Timmerman, Nicol\'as Vald\'es-Meller
|
Entanglement entropy and the large $N$ expansion of two-dimensional
Yang-Mills theory
|
31 pages, 8 figures
| null |
10.1007/JHEP04(2020)182
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Two-dimensional Yang-Mills theory is a useful model of an exactly solvable
gauge theory with a string theory dual at large $N$. We calculate entanglement
entropy in the $1/N$ expansion by mapping the theory to a system of $N$
fermions interacting via a repulsive entropic force. The entropy is a sum of
two terms: the "Boltzmann entropy", $\log \dim (R)$ per point of the entangling
surface, which counts the number of distinct microstates, and the "Shannon
entropy", $- \sum p_R \log p_R$, which captures fluctuations of the macroscopic
state. We find that the entropy scales as $N^2$ in the large $N$ limit, and
that at this order only the Boltzmann entropy contributes. We further show that
the Shannon entropy scales linearly with $N$, and confirm this behaviour with
numerical simulations. While the term of order $N$ is surprising from the point
of view of the string dual - in which only even powers of $N$ appear in the
partition function - we trace it to a breakdown of large $N$ counting caused by
the replica trick. This mechanism could lead to corrections to holographic
entanglement entropy larger than expected from semiclassical field theory.
|
[
{
"created": "Thu, 21 Nov 2019 06:01:10 GMT",
"version": "v1"
}
] |
2020-05-20
|
[
[
"Donnelly",
"William",
""
],
[
"Timmerman",
"Sydney",
""
],
[
"Valdés-Meller",
"Nicolás",
""
]
] |
Two-dimensional Yang-Mills theory is a useful model of an exactly solvable gauge theory with a string theory dual at large $N$. We calculate entanglement entropy in the $1/N$ expansion by mapping the theory to a system of $N$ fermions interacting via a repulsive entropic force. The entropy is a sum of two terms: the "Boltzmann entropy", $\log \dim (R)$ per point of the entangling surface, which counts the number of distinct microstates, and the "Shannon entropy", $- \sum p_R \log p_R$, which captures fluctuations of the macroscopic state. We find that the entropy scales as $N^2$ in the large $N$ limit, and that at this order only the Boltzmann entropy contributes. We further show that the Shannon entropy scales linearly with $N$, and confirm this behaviour with numerical simulations. While the term of order $N$ is surprising from the point of view of the string dual - in which only even powers of $N$ appear in the partition function - we trace it to a breakdown of large $N$ counting caused by the replica trick. This mechanism could lead to corrections to holographic entanglement entropy larger than expected from semiclassical field theory.
| 7.009979
| 7.378068
| 7.137259
| 6.566447
| 7.347892
| 7.04705
| 6.713417
| 7.167946
| 6.651833
| 7.301673
| 6.494239
| 6.719542
| 6.840447
| 6.575798
| 6.788401
| 6.709796
| 6.584853
| 6.660452
| 6.461058
| 6.742816
| 6.637529
|
1112.6311
|
Masato Arai
|
Masato Arai and Shin Sasaki
|
Off-shell construction of superconformal Chern-Simons theories in three
dimensions
|
23 pages, typos corrected, version published in JHEP
|
JHEP 1205 (2012) 064
|
10.1007/JHEP05(2012)064
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose an off-shell construction of three-dimensional N = 3 and N = 4
superconformal Abelian Chern-Simons theories in the projective superspace
formalism. We also construct coupling terms among the gauge fields and matter
hypermultiplets.
|
[
{
"created": "Thu, 29 Dec 2011 13:59:47 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Jan 2012 06:21:10 GMT",
"version": "v2"
},
{
"created": "Sat, 26 May 2012 09:09:42 GMT",
"version": "v3"
}
] |
2012-05-29
|
[
[
"Arai",
"Masato",
""
],
[
"Sasaki",
"Shin",
""
]
] |
We propose an off-shell construction of three-dimensional N = 3 and N = 4 superconformal Abelian Chern-Simons theories in the projective superspace formalism. We also construct coupling terms among the gauge fields and matter hypermultiplets.
| 8.223475
| 5.979725
| 8.636095
| 5.563391
| 5.79013
| 5.157748
| 5.603022
| 5.865457
| 5.793543
| 10.053789
| 6.307225
| 6.426581
| 8.586747
| 6.630332
| 6.903756
| 6.451091
| 6.678295
| 6.375387
| 7.005708
| 8.644485
| 6.867642
|
hep-th/0510118
|
Hiroshige Kajiura
|
Hiroshige Kajiura, Jim Stasheff
|
Open-closed homotopy algebra in mathematical physics
|
38 pages, 4 figures; v2: published version
|
J.Math.Phys.47:023506,2006
|
10.1063/1.2171524
|
YITP-05-62
|
hep-th math.AT math.QA
| null |
In this paper we discuss various aspects of open-closed homotopy algebras
(OCHAs) presented in our previous paper, inspired by Zwiebach's open-closed
string field theory, but that first paper concentrated on the mathematical
aspects. Here we show how an OCHA is obtained by extracting the tree part of
Zwiebach's quantum open-closed string field theory. We clarify the explicit
relation of an OCHA with Kontsevich's deformation quantization and with the
B-models of homological mirror symmetry. An explicit form of the minimal model
for an OCHA is given as well as its relation to the perturbative expansion of
open-closed string field theory. We show that our open-closed homotopy algebra
gives us a general scheme for deformation of open string structures
($A_\infty$-algebras) by closed strings ($L_\infty$-algebras).
|
[
{
"created": "Fri, 14 Oct 2005 15:27:40 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jun 2006 11:13:56 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Kajiura",
"Hiroshige",
""
],
[
"Stasheff",
"Jim",
""
]
] |
In this paper we discuss various aspects of open-closed homotopy algebras (OCHAs) presented in our previous paper, inspired by Zwiebach's open-closed string field theory, but that first paper concentrated on the mathematical aspects. Here we show how an OCHA is obtained by extracting the tree part of Zwiebach's quantum open-closed string field theory. We clarify the explicit relation of an OCHA with Kontsevich's deformation quantization and with the B-models of homological mirror symmetry. An explicit form of the minimal model for an OCHA is given as well as its relation to the perturbative expansion of open-closed string field theory. We show that our open-closed homotopy algebra gives us a general scheme for deformation of open string structures ($A_\infty$-algebras) by closed strings ($L_\infty$-algebras).
| 5.659573
| 6.259928
| 6.665158
| 5.932242
| 5.944437
| 6.195753
| 5.689403
| 6.102774
| 6.049707
| 7.228805
| 5.819942
| 5.701837
| 5.795299
| 5.602706
| 5.636374
| 5.725503
| 5.582164
| 5.42974
| 5.610369
| 5.858266
| 5.624488
|
1910.07905
|
Joseph Bramante
|
Joseph Bramante and Elizabeth Gould
|
Material matter effects in gravitational UV/IR mixing
|
10 pages, no figures, PRD version
|
Phys. Rev. D 101, 084022 (2020)
|
10.1103/PhysRevD.101.084022
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a matter effect for the gravitational ultraviolet/infrared (UV/IR)
mixing solution to the cosmological constant problem. Previously, the
gravitational UV/IR mixing model implied a non-standard equation of state for
dark energy, contradicting observation. In contrast, matter effect
gravitational UV/IR mixing accommodates a standard $\Lambda$CDM cosmology with
constant dark energy. Notably, there are new density-dependent predictions for
futuristically precise measurements of fundamental parameters, like the
magnetic moments of the muon and electron.
|
[
{
"created": "Thu, 17 Oct 2019 13:37:26 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Apr 2020 15:06:38 GMT",
"version": "v2"
}
] |
2020-04-15
|
[
[
"Bramante",
"Joseph",
""
],
[
"Gould",
"Elizabeth",
""
]
] |
We propose a matter effect for the gravitational ultraviolet/infrared (UV/IR) mixing solution to the cosmological constant problem. Previously, the gravitational UV/IR mixing model implied a non-standard equation of state for dark energy, contradicting observation. In contrast, matter effect gravitational UV/IR mixing accommodates a standard $\Lambda$CDM cosmology with constant dark energy. Notably, there are new density-dependent predictions for futuristically precise measurements of fundamental parameters, like the magnetic moments of the muon and electron.
| 11.801517
| 12.517525
| 10.700342
| 10.686114
| 11.959306
| 11.517564
| 11.641835
| 11.859016
| 11.712249
| 12.698267
| 10.782454
| 12.291944
| 10.824612
| 10.994371
| 11.290263
| 11.774919
| 11.530038
| 11.569998
| 11.068488
| 10.870396
| 11.631065
|
1405.7681
|
Joohan Lee
|
Joohan Lee, Tae-Hoon Lee, Phillial Oh, and James Overduin
|
Cosmological Coincidence without Fine Tuning
|
5 pages, accepted for publication in Phys. Rev. D
|
Phys. Rev. D 90, 123003 (2014)
|
10.1103/PhysRevD.90.123003
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a simple cosmological model in which a single, non-minimally
coupled scalar field with a quartic potential is responsible for both inflation
at early times and acceleration at late times. Little or no fine tuning is
needed to explain why the present density of dark energy is comparable to that
of pressureless matter. Dark energy is identified with the potential of the
scalar field, which is sourced by the trace of the energy-momentum tensor. This
becomes significant when matter has decoupled from radiation and become fully
non-relativistic, so that
$\phi\propto\rho_m^{1/3}\propto\rho_{m,0}^{1/3}(a_0/a)\sim(10^{-120})^{1/3}(10^{10})\sim10^{-30}$
and $V\sim\phi^4\sim10^{-120}$ in Planck units, as observed.
|
[
{
"created": "Thu, 29 May 2014 19:49:51 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Nov 2014 02:29:47 GMT",
"version": "v2"
}
] |
2014-12-10
|
[
[
"Lee",
"Joohan",
""
],
[
"Lee",
"Tae-Hoon",
""
],
[
"Oh",
"Phillial",
""
],
[
"Overduin",
"James",
""
]
] |
We present a simple cosmological model in which a single, non-minimally coupled scalar field with a quartic potential is responsible for both inflation at early times and acceleration at late times. Little or no fine tuning is needed to explain why the present density of dark energy is comparable to that of pressureless matter. Dark energy is identified with the potential of the scalar field, which is sourced by the trace of the energy-momentum tensor. This becomes significant when matter has decoupled from radiation and become fully non-relativistic, so that $\phi\propto\rho_m^{1/3}\propto\rho_{m,0}^{1/3}(a_0/a)\sim(10^{-120})^{1/3}(10^{10})\sim10^{-30}$ and $V\sim\phi^4\sim10^{-120}$ in Planck units, as observed.
| 5.141644
| 6.213797
| 5.75949
| 5.192512
| 5.792743
| 6.369049
| 6.445871
| 5.440684
| 5.938621
| 5.79009
| 5.389611
| 5.49348
| 5.412026
| 5.213499
| 5.321175
| 5.285687
| 5.309392
| 5.285001
| 5.403299
| 5.170901
| 5.403004
|
hep-th/9508079
|
Ole Warnaar
|
S.O. Warnaar
|
Fermionic solution of the Andrews-Baxter-Forrester model II: proof of
Melzer's polynomial identities
|
28 pages, Latex, 7 Postscript figures
| null |
10.1007/BF02179577
| null |
hep-th
| null |
We compute the one-dimensional configuration sums of the ABF model using the
fermionic technique introduced in part I of this paper. Combined with the
results of Andrews, Baxter and Forrester, we find proof of polynomial
identities for finitizations of the Virasoro characters
$\chi_{b,a}^{(r-1,r)}(q)$ as conjectured by Melzer. In the thermodynamic limit
these identities reproduce Rogers--Ramanujan type identities for the unitary
minimal Virasoro characters, conjectured by the Stony Brook group. We also
present a list of additional Virasoro character identities which follow from
our proof of Melzer's identities and application of Bailey's lemma.
|
[
{
"created": "Thu, 17 Aug 1995 21:05:41 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Aug 1995 06:11:58 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Warnaar",
"S. O.",
""
]
] |
We compute the one-dimensional configuration sums of the ABF model using the fermionic technique introduced in part I of this paper. Combined with the results of Andrews, Baxter and Forrester, we find proof of polynomial identities for finitizations of the Virasoro characters $\chi_{b,a}^{(r-1,r)}(q)$ as conjectured by Melzer. In the thermodynamic limit these identities reproduce Rogers--Ramanujan type identities for the unitary minimal Virasoro characters, conjectured by the Stony Brook group. We also present a list of additional Virasoro character identities which follow from our proof of Melzer's identities and application of Bailey's lemma.
| 11.360617
| 10.154368
| 15.049952
| 9.507223
| 11.109307
| 10.646326
| 10.631137
| 9.967901
| 9.940433
| 15.455546
| 11.013999
| 10.442291
| 12.21566
| 10.888633
| 10.906394
| 10.5828
| 11.001254
| 10.76317
| 10.979013
| 11.677579
| 10.650002
|
2407.11222
|
Marco Bill\'o
|
Marco Billo', Luca Griguolo and Alessandro Testa
|
Supersymmetric localization and non-conformal $\mathcal{N}=2$ SYM
theories in the perturbative regime
|
7 pages. V2: reference added, minor improvements in the presentation
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine the relation between supersymmetric localization on $\mathbb{S}^4$
and standard QFT results for non-conformal theories in flat space.
Specifically, we consider 1/2 BPS circular Wilson loops in four-dimensional
SU($N$) $\mathcal{N}$= 2 SYM theories with massless hypermultiplets in an
arbitrary representation $\mathcal{R}$ such that the $\beta$-function is
non-vanishing. On $\mathbb{S}^4$, localization maps this observable into an
interacting matrix model. Although conformal symmetry is broken at the quantum
level, we show that within a specific regime of validity the matrix model
predictions are consistent with perturbation theory in flat space up to order
$g^6$. In particular, at this order, localization predicts two classes of
corrections proportional to $\zeta(3)$ whose diagrammatic origins in field
theory are remarkably different. One class of $\zeta(3)$-like corrections
emerges via interference effects between evanescent terms and the ultraviolet
(UV) poles associated with the bare coupling constant, while the second one
stems from a Feynman integral which retains the same form in flat space and on
the sphere.
|
[
{
"created": "Mon, 15 Jul 2024 20:19:04 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Aug 2024 13:46:00 GMT",
"version": "v2"
}
] |
2024-08-14
|
[
[
"Billo'",
"Marco",
""
],
[
"Griguolo",
"Luca",
""
],
[
"Testa",
"Alessandro",
""
]
] |
We examine the relation between supersymmetric localization on $\mathbb{S}^4$ and standard QFT results for non-conformal theories in flat space. Specifically, we consider 1/2 BPS circular Wilson loops in four-dimensional SU($N$) $\mathcal{N}$= 2 SYM theories with massless hypermultiplets in an arbitrary representation $\mathcal{R}$ such that the $\beta$-function is non-vanishing. On $\mathbb{S}^4$, localization maps this observable into an interacting matrix model. Although conformal symmetry is broken at the quantum level, we show that within a specific regime of validity the matrix model predictions are consistent with perturbation theory in flat space up to order $g^6$. In particular, at this order, localization predicts two classes of corrections proportional to $\zeta(3)$ whose diagrammatic origins in field theory are remarkably different. One class of $\zeta(3)$-like corrections emerges via interference effects between evanescent terms and the ultraviolet (UV) poles associated with the bare coupling constant, while the second one stems from a Feynman integral which retains the same form in flat space and on the sphere.
| 7.209061
| 6.753743
| 7.778236
| 6.51615
| 6.639129
| 6.776855
| 6.665134
| 6.683927
| 6.4524
| 9.114011
| 6.499114
| 6.759412
| 7.190617
| 6.687587
| 6.736946
| 6.748207
| 6.54636
| 6.808143
| 6.855803
| 7.234113
| 6.70458
|
hep-th/9802053
|
Kazuto Oshima
|
Kazuto Oshima
|
de Rham cohomology of SO(n) and some related manifolds by supersymmetric
quantum mechanics
|
18pages,Latex
|
J.Math.Phys. 39 (1998) 3120-3130
|
10.1063/1.532242
|
Gunma-Tech-98-02
|
hep-th
| null |
We study supersymmetric quantum mechanics on RP_{n},SO(n),G_{2} and U(2) to
examine Witten's Morse theory concretely. We confirm the simple instanton
picture of the de Rham cohomology that has been given in a previous paper. We
use a reflection symmetry of each theory to select the true vacuums. The number
of selected vacuums agrees with the de Rham cohomology for each of the above
manifolds.
|
[
{
"created": "Mon, 9 Feb 1998 08:13:38 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Oshima",
"Kazuto",
""
]
] |
We study supersymmetric quantum mechanics on RP_{n},SO(n),G_{2} and U(2) to examine Witten's Morse theory concretely. We confirm the simple instanton picture of the de Rham cohomology that has been given in a previous paper. We use a reflection symmetry of each theory to select the true vacuums. The number of selected vacuums agrees with the de Rham cohomology for each of the above manifolds.
| 12.827254
| 12.856534
| 15.405672
| 12.708423
| 13.488
| 13.295299
| 12.32305
| 13.309608
| 12.223389
| 16.266462
| 12.961292
| 12.346024
| 12.894091
| 12.428224
| 12.571884
| 12.730876
| 12.926481
| 11.807664
| 11.901
| 12.889711
| 12.361413
|
1811.05451
|
Luca Iliesiu
|
Luca Iliesiu, Murat Kolo\u{g}lu, David Simmons-Duffin
|
Bootstrapping the 3d Ising model at finite temperature
|
34 pages, 13 figures, 1 table
| null |
10.1007/JHEP12(2019)072
|
CALT-TH-2018-049, PUPT-2573
|
hep-th cond-mat.stat-mech cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We estimate thermal one-point functions in the 3d Ising CFT using the
operator product expansion (OPE) and the Kubo-Martin-Schwinger (KMS) condition.
Several operator dimensions and OPE coefficients of the theory are known from
the numerical bootstrap for flat-space four-point functions. Taking this data
as input, we use a thermal Lorentzian inversion formula to compute thermal
one-point coefficients of the first few Regge trajectories in terms of a small
number of unknown parameters. We approximately determine the unknown parameters
by imposing the KMS condition on the two-point functions $\langle \sigma\sigma
\rangle$ and $\langle \epsilon\epsilon \rangle$. As a result, we estimate the
one-point functions of the lowest-dimension $\mathbb Z_2$-even scalar
$\epsilon$ and the stress-energy tensor $T_{\mu \nu}$. Our result for $\langle
\sigma\sigma \rangle$ at finite-temperature agrees with Monte-Carlo simulations
within a few percent, inside the radius of convergence of the OPE.
|
[
{
"created": "Tue, 13 Nov 2018 18:42:47 GMT",
"version": "v1"
}
] |
2020-01-29
|
[
[
"Iliesiu",
"Luca",
""
],
[
"Koloğlu",
"Murat",
""
],
[
"Simmons-Duffin",
"David",
""
]
] |
We estimate thermal one-point functions in the 3d Ising CFT using the operator product expansion (OPE) and the Kubo-Martin-Schwinger (KMS) condition. Several operator dimensions and OPE coefficients of the theory are known from the numerical bootstrap for flat-space four-point functions. Taking this data as input, we use a thermal Lorentzian inversion formula to compute thermal one-point coefficients of the first few Regge trajectories in terms of a small number of unknown parameters. We approximately determine the unknown parameters by imposing the KMS condition on the two-point functions $\langle \sigma\sigma \rangle$ and $\langle \epsilon\epsilon \rangle$. As a result, we estimate the one-point functions of the lowest-dimension $\mathbb Z_2$-even scalar $\epsilon$ and the stress-energy tensor $T_{\mu \nu}$. Our result for $\langle \sigma\sigma \rangle$ at finite-temperature agrees with Monte-Carlo simulations within a few percent, inside the radius of convergence of the OPE.
| 5.73476
| 5.529935
| 6.673327
| 5.387875
| 5.558414
| 5.685977
| 5.505384
| 5.110403
| 5.404284
| 6.738101
| 5.342761
| 5.252562
| 5.675786
| 5.309367
| 5.392471
| 5.278242
| 5.352406
| 5.350789
| 5.333779
| 5.715701
| 5.273722
|
hep-th/0408180
|
John McGreevy
|
Nissan Itzhaki and John McGreevy
|
The Large N Harmonic Oscillator as a String Theory
|
31 pages, 2 figures; v2: fixed typos
|
Phys.Rev. D71 (2005) 025003
|
10.1103/PhysRevD.71.025003
|
PUTP/2130
|
hep-th
| null |
We propose a duality between the large-N gauged harmonic oscillator and a
novel string theory in two dimensions.
|
[
{
"created": "Tue, 24 Aug 2004 19:23:47 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Jan 2005 21:44:03 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Itzhaki",
"Nissan",
""
],
[
"McGreevy",
"John",
""
]
] |
We propose a duality between the large-N gauged harmonic oscillator and a novel string theory in two dimensions.
| 20.11664
| 10.633925
| 16.122257
| 11.519287
| 14.90604
| 12.178667
| 11.360671
| 12.812069
| 11.137573
| 19.40019
| 12.976926
| 12.028384
| 19.431791
| 14.072577
| 12.983759
| 12.463225
| 12.757751
| 12.887972
| 13.76315
| 17.461298
| 13.926944
|
hep-th/0201228
|
Mikhail Plyushchay
|
Peter A. Horvathy and Mikhail S. Plyushchay
|
Non-relativistic anyons, exotic Galilean symmetry and noncommutative
plane
|
10 pages; final version to appear in JHEP
|
JHEP 0206:033,2002
|
10.1088/1126-6708/2002/06/033
|
USACH-FM-02-01
|
hep-th math-ph math.MP quant-ph
| null |
We show that the Lukierski et al. model, invariant with respect to the
two-fold centrally extended Galilei group, can be decomposed into an infinite
number of independent copies (differing in their spin) of the ``exotic''
particle of Duval et al. The difference between the two models is found to be
sensitive to electromagnetic coupling. The nature of the noncommutative plane
coordinates is discussed in the light of the exotic Galilean symmetry. We prove
that the first model, interpreted as describing a non-relativistic anyon, is
the non-relativistic limit of a particle with torsion related to relativistic
anyons.
|
[
{
"created": "Mon, 28 Jan 2002 20:11:15 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Apr 2002 21:43:48 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Jun 2002 00:53:56 GMT",
"version": "v3"
}
] |
2011-07-13
|
[
[
"Horvathy",
"Peter A.",
""
],
[
"Plyushchay",
"Mikhail S.",
""
]
] |
We show that the Lukierski et al. model, invariant with respect to the two-fold centrally extended Galilei group, can be decomposed into an infinite number of independent copies (differing in their spin) of the ``exotic'' particle of Duval et al. The difference between the two models is found to be sensitive to electromagnetic coupling. The nature of the noncommutative plane coordinates is discussed in the light of the exotic Galilean symmetry. We prove that the first model, interpreted as describing a non-relativistic anyon, is the non-relativistic limit of a particle with torsion related to relativistic anyons.
| 11.353977
| 9.503085
| 11.464669
| 9.342812
| 9.582066
| 9.944777
| 9.407026
| 8.895652
| 8.66145
| 12.901991
| 9.004843
| 9.922029
| 10.882674
| 10.067713
| 10.144974
| 9.579161
| 9.523344
| 9.620021
| 9.935138
| 11.289043
| 9.942301
|
0806.3976
|
Sergey Solodukhin N.
|
Gia Dvali and Sergey N. Solodukhin
|
Black Hole Entropy and Gravity Cutoff
|
11 pages, no figures
| null | null |
CERN-PH-TH/2008-141
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the black hole entropy as entanglement entropy and propose a
resolution to the species puzzle. This resolution comes out naturally due to
the fact that in the presence of $N$ species the universal gravitational cutoff
is $\Lambda=M_{\rm Planck}/\sqrt{N}$, as opposed to $M_{\rm Planck}$. We
demonstrate consistency of our solution by showing the equality of the two
entropies in explicit examples in which the relation between $M_{\rm Planck}$
and $\Lambda$ is known from the fundamental theory.
|
[
{
"created": "Tue, 24 Jun 2008 20:10:05 GMT",
"version": "v1"
}
] |
2008-06-26
|
[
[
"Dvali",
"Gia",
""
],
[
"Solodukhin",
"Sergey N.",
""
]
] |
We study the black hole entropy as entanglement entropy and propose a resolution to the species puzzle. This resolution comes out naturally due to the fact that in the presence of $N$ species the universal gravitational cutoff is $\Lambda=M_{\rm Planck}/\sqrt{N}$, as opposed to $M_{\rm Planck}$. We demonstrate consistency of our solution by showing the equality of the two entropies in explicit examples in which the relation between $M_{\rm Planck}$ and $\Lambda$ is known from the fundamental theory.
| 8.593847
| 7.316296
| 8.828574
| 7.104997
| 8.25561
| 7.808672
| 7.371374
| 7.800879
| 7.628057
| 8.699167
| 7.052839
| 7.540077
| 8.056448
| 7.702511
| 7.609607
| 7.698907
| 7.52634
| 7.700765
| 7.705856
| 8.087935
| 7.617001
|
1903.04495
|
Cody Long
|
James Halverson, Cody Long, Brent Nelson, and Gustavo Salinas
|
On Axion Reheating in the String Landscape
|
12 pages, 9 figures
|
Phys. Rev. D 99, 086014 (2019)
|
10.1103/PhysRevD.99.086014
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate that asymmetric reheating arises in a large ensemble of string
compactifications with many axions and gauged dark sectors. This phenomenon may
help avoid numerous cosmological problems that may arise if the sectors were
reheated democratically. Distributions of couplings are presented for two
classes of axion reheatons, both of which exhibit very small couplings to most
of the gauge sectors. In one class, ratios of reheating couplings and also
preferred gauge groups are frequently determined by local regions in the string
geometry.
|
[
{
"created": "Mon, 11 Mar 2019 18:00:00 GMT",
"version": "v1"
}
] |
2019-04-24
|
[
[
"Halverson",
"James",
""
],
[
"Long",
"Cody",
""
],
[
"Nelson",
"Brent",
""
],
[
"Salinas",
"Gustavo",
""
]
] |
We demonstrate that asymmetric reheating arises in a large ensemble of string compactifications with many axions and gauged dark sectors. This phenomenon may help avoid numerous cosmological problems that may arise if the sectors were reheated democratically. Distributions of couplings are presented for two classes of axion reheatons, both of which exhibit very small couplings to most of the gauge sectors. In one class, ratios of reheating couplings and also preferred gauge groups are frequently determined by local regions in the string geometry.
| 22.127977
| 22.506235
| 20.429398
| 21.548359
| 23.932283
| 21.428148
| 23.711029
| 22.07939
| 19.366709
| 24.315018
| 19.575167
| 20.388884
| 21.530605
| 20.641119
| 21.874048
| 20.027037
| 21.127102
| 21.20215
| 20.531185
| 21.418612
| 20.199968
|
2307.05032
|
Robert de Mello Koch
|
Robert de Mello Koch
|
Microscopic Entanglement Wedges
|
1+45 pages; v2: minor typos corrected
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the holographic duality between the free $O(N)$ vector model and
higher spin gravity. Conserved spinning primary currents of the conformal field
theory (CFT) are dual to spinning gauge fields in the gravity. Reducing to
independent components of the conserved CFT currents one finds two components
at each spin. After gauge fixing the gravity and then reducing to independent
components, one finds two components of the gauge field at each spin.
Collective field theory provides a systematic way to map between these two sets
of degrees of freedom, providing a complete and explicit identification between
the dynamical degrees of freedom of the CFT and the dual gravity. The resulting
map exhibits many features expected of holographic duality: it provides a valid
bulk reconstruction, it reproduces insights expected from the holography of
information and it provides a microscopic derivation of entanglement wedge
reconstruction.
|
[
{
"created": "Tue, 11 Jul 2023 06:07:53 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Jul 2023 00:32:58 GMT",
"version": "v2"
}
] |
2023-07-18
|
[
[
"Koch",
"Robert de Mello",
""
]
] |
We study the holographic duality between the free $O(N)$ vector model and higher spin gravity. Conserved spinning primary currents of the conformal field theory (CFT) are dual to spinning gauge fields in the gravity. Reducing to independent components of the conserved CFT currents one finds two components at each spin. After gauge fixing the gravity and then reducing to independent components, one finds two components of the gauge field at each spin. Collective field theory provides a systematic way to map between these two sets of degrees of freedom, providing a complete and explicit identification between the dynamical degrees of freedom of the CFT and the dual gravity. The resulting map exhibits many features expected of holographic duality: it provides a valid bulk reconstruction, it reproduces insights expected from the holography of information and it provides a microscopic derivation of entanglement wedge reconstruction.
| 10.557357
| 9.777692
| 11.945713
| 9.690932
| 10.01775
| 9.639621
| 9.509855
| 9.830729
| 9.60688
| 11.361378
| 9.75508
| 10.066522
| 10.949861
| 10.009875
| 9.937049
| 9.796873
| 10.209364
| 9.480202
| 9.70304
| 11.518069
| 9.850661
|
0809.1771
|
Piljin Yi
|
Kazuo Hosomichi, Ki-Myeong Lee, Sangmin Lee, Sungjay Lee, Jaemo Park,
and Piljin Yi
|
A Nonperturbative Test of M2-Brane Theory
|
40 pages, 1 figure, references updated
|
JHEP 0811:058,2008
|
10.1088/1126-6708/2008/11/058
|
KIAS-P08062, SU-ITP-08-21
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss non-perturbative effects in the ABJM model due to monopole
instantons. We begin by constructing the instanton solutions in the $U(2)\times
U(2)$ model, explicitly, and computing the Euclidean action. The Wick-rotated
Lagrangian is complex and its BPS monopole instantons are found to be a
delicate version of the usual 't Hooft-Polyakov monopole solutions. They are
generically 1/3 BPS but become 1/2 BPS at special locus in the moduli space of
two M2-branes, yet each instanton carries eight fermionic zero modes,
regardless of the vacuum choice. The low energy effective action induced by
monopole instantons are quartic order in derivatives. The resulting vertices
are nonperturbative in $1/k$, as expected, but are rational functions of the
vacuum moduli. We also analyze the system of two M2-branes in the supergravity
framework and compute the higher order interactions via 11-dimensional
supergraviton exchange. The comparison of the two shows that the instanton
vertices are precisely reproduced by this M2-brane picture, supporting the
proposal that the ABJM model describes multiple M2-branes.
|
[
{
"created": "Wed, 10 Sep 2008 12:12:10 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Sep 2008 12:10:42 GMT",
"version": "v2"
}
] |
2011-06-02
|
[
[
"Hosomichi",
"Kazuo",
""
],
[
"Lee",
"Ki-Myeong",
""
],
[
"Lee",
"Sangmin",
""
],
[
"Lee",
"Sungjay",
""
],
[
"Park",
"Jaemo",
""
],
[
"Yi",
"Piljin",
""
]
] |
We discuss non-perturbative effects in the ABJM model due to monopole instantons. We begin by constructing the instanton solutions in the $U(2)\times U(2)$ model, explicitly, and computing the Euclidean action. The Wick-rotated Lagrangian is complex and its BPS monopole instantons are found to be a delicate version of the usual 't Hooft-Polyakov monopole solutions. They are generically 1/3 BPS but become 1/2 BPS at special locus in the moduli space of two M2-branes, yet each instanton carries eight fermionic zero modes, regardless of the vacuum choice. The low energy effective action induced by monopole instantons are quartic order in derivatives. The resulting vertices are nonperturbative in $1/k$, as expected, but are rational functions of the vacuum moduli. We also analyze the system of two M2-branes in the supergravity framework and compute the higher order interactions via 11-dimensional supergraviton exchange. The comparison of the two shows that the instanton vertices are precisely reproduced by this M2-brane picture, supporting the proposal that the ABJM model describes multiple M2-branes.
| 7.846813
| 8.003856
| 9.370934
| 8.0683
| 8.581313
| 8.583875
| 8.207301
| 8.355421
| 7.904344
| 9.711214
| 7.740386
| 7.752893
| 8.204172
| 7.791098
| 8.05475
| 7.853873
| 7.882554
| 7.942384
| 8.002037
| 8.660646
| 7.773965
|
2110.07617
|
Domenico Orlando
|
Rafael Moser, Domenico Orlando, Susanne Reffert
|
Convexity, large charge and the large-N phase diagram of the $\varphi^4$
theory
|
34 pages, 7 figures. Matches version accepted in JHEP
| null |
10.1007/JHEP02(2022)152
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we discuss the phase space of the O(2N) vector model in the
presence of a quadratic and a quartic interaction by writing the large-N
effective potential using large charge methods in dimensions 2<D<4 and 4<D<6.
Based on a simple discussion of the convexity properties of the grand
potential, we find very different behavior in the two regimes: while in 2<D<4,
the theory is well-behaved, the model in 4<D<6 leads to a complex CFT in the
UV, consistently with earlier results. We also find a new metastable massive
phase in the high-energy regime for the theory on the cylinder.
|
[
{
"created": "Thu, 14 Oct 2021 18:00:03 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Feb 2022 08:57:40 GMT",
"version": "v2"
}
] |
2022-03-09
|
[
[
"Moser",
"Rafael",
""
],
[
"Orlando",
"Domenico",
""
],
[
"Reffert",
"Susanne",
""
]
] |
In this note we discuss the phase space of the O(2N) vector model in the presence of a quadratic and a quartic interaction by writing the large-N effective potential using large charge methods in dimensions 2<D<4 and 4<D<6. Based on a simple discussion of the convexity properties of the grand potential, we find very different behavior in the two regimes: while in 2<D<4, the theory is well-behaved, the model in 4<D<6 leads to a complex CFT in the UV, consistently with earlier results. We also find a new metastable massive phase in the high-energy regime for the theory on the cylinder.
| 10.415545
| 9.464546
| 9.826608
| 9.108747
| 9.499866
| 9.37193
| 9.625368
| 9.748831
| 9.673338
| 10.824647
| 9.246674
| 9.481707
| 9.482919
| 9.636944
| 9.640734
| 9.163055
| 9.485067
| 9.409088
| 9.21981
| 9.919987
| 9.756073
|
0705.2395
|
Y. C. Huang (Yong-Chang Huang )
|
Leng Liao (1), Yong-Chang Huang (1, 2)((1,2) Y. C. Huang, Institute of
Theoretical Physics, Beijing University of Technology (formerly Beijing
Polytechnic Univ.), Beijing, P. R. China, (2) CCAST (World Lab.), Beijing, P.
R. China)
|
Faddeev-Jackiw Quantization of the Gauge Invariant Self-dual Fields
Relative to String Theory
|
8 pages
|
High Energy Phys.Nucl.Phys.30:191,2006
| null | null |
hep-th
| null |
We obtain a new symplectic Lagrangian density and deduce Faddeev-Jackiw (FJ)
generalized brackets of the gauge invariant self-dual fields interacting with
gauge fields. We further give FJ quantization of this system. Furthermore, the
FJ method is compared with Dirac method, the results show the two methods are
equivalent in the quantization of this system. And by the practical research in
this letter, it can be found that the FJ method is really simpler than the
Dirac method, namely, the FJ method obviates the need to distinguish primary
and secondary constraints and first- and second-class constraints. Therefore,
the FJ method is a more economical and effective method of quantization.
|
[
{
"created": "Wed, 16 May 2007 16:35:11 GMT",
"version": "v1"
}
] |
2010-01-08
|
[
[
"Liao",
"Leng",
""
],
[
"Huang",
"Yong-Chang",
""
]
] |
We obtain a new symplectic Lagrangian density and deduce Faddeev-Jackiw (FJ) generalized brackets of the gauge invariant self-dual fields interacting with gauge fields. We further give FJ quantization of this system. Furthermore, the FJ method is compared with Dirac method, the results show the two methods are equivalent in the quantization of this system. And by the practical research in this letter, it can be found that the FJ method is really simpler than the Dirac method, namely, the FJ method obviates the need to distinguish primary and secondary constraints and first- and second-class constraints. Therefore, the FJ method is a more economical and effective method of quantization.
| 7.797506
| 7.522339
| 8.506727
| 7.721379
| 7.5954
| 7.752341
| 8.038896
| 8.063045
| 7.642876
| 8.375095
| 7.777349
| 7.482309
| 7.900063
| 7.461095
| 7.768851
| 7.541203
| 7.678268
| 7.373173
| 7.55381
| 7.831526
| 7.580956
|
hep-th/0202054
|
Dr. Betti Hartmann
|
Yves Brihaye (University of Mons, Belgium) and Betti Hartmann
(University of Durham, United Kingdom)
|
Dilatonic monopoles from (4+1)-dimensional vortices
|
13 latex pages, 4 figures; one reference added, section on flat limit
extended
|
Phys.Lett.B534:137-146,2002
|
10.1016/S0370-2693(02)01586-1
|
DCPT-02/11
|
hep-th gr-qc
| null |
We study spherically and axially symmetric monopoles of the SU(2)
Einstein-Yang-Mills-Higgs-dilaton (EYMHD) system with a new coupling between
the dilaton field and the covariant derivative of the Higgs field. This
coupling arises in the study of (4+1)-dimensional vortices in the
Einstein-Yang-Mills (EYM) system.
|
[
{
"created": "Fri, 8 Feb 2002 11:09:51 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Mar 2002 14:21:20 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Brihaye",
"Yves",
"",
"University of Mons, Belgium"
],
[
"Hartmann",
"Betti",
"",
"University of Durham, United Kingdom"
]
] |
We study spherically and axially symmetric monopoles of the SU(2) Einstein-Yang-Mills-Higgs-dilaton (EYMHD) system with a new coupling between the dilaton field and the covariant derivative of the Higgs field. This coupling arises in the study of (4+1)-dimensional vortices in the Einstein-Yang-Mills (EYM) system.
| 4.918411
| 4.114847
| 4.81351
| 4.198173
| 4.177622
| 3.90851
| 4.011551
| 4.290153
| 3.91693
| 4.577707
| 4.229747
| 4.151264
| 4.404457
| 4.319147
| 4.389381
| 4.151462
| 4.260436
| 4.283459
| 4.216568
| 4.523888
| 4.22902
|
1210.5588
|
Eoin \'O Colg\'ain
|
Eoin \'O Colg\'ain
|
Fermionic T-duality: A snapshot review
|
1+25 pages, typos fixed, updated Journal reference
|
Int. J. Mod. Phys. A Volume 27 (2012) 1230032
|
10.1142/S0217751X12300323
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Through a self-dual mapping of the geometry AdS5 x S5, fermionic T-duality
provides a beautiful geometric interpretation of hidden symmetries for
scattering amplitudes in N=4 super-Yang-Mills. Starting with Green-Schwarz
sigma-models, we consolidate developments in this area into this small review.
In particular, we discuss the translation of fermionic T-duality into the
supergravity fields via pure spinor formalism and show that a general class of
fermionic transformations can be identified directly in the supergravity. In
addition to discussing fermionic T-duality for the geometry AdS4 x CP3, dual to
N=6 ABJM theory, we review work on other self-dual geometries. Finally, we
present a short round-up of studies with a formal interest in fermionic
T-duality.
|
[
{
"created": "Sat, 20 Oct 2012 07:54:50 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Nov 2012 09:31:42 GMT",
"version": "v2"
},
{
"created": "Wed, 30 Jan 2013 08:27:23 GMT",
"version": "v3"
}
] |
2013-01-31
|
[
[
"Colgáin",
"Eoin Ó",
""
]
] |
Through a self-dual mapping of the geometry AdS5 x S5, fermionic T-duality provides a beautiful geometric interpretation of hidden symmetries for scattering amplitudes in N=4 super-Yang-Mills. Starting with Green-Schwarz sigma-models, we consolidate developments in this area into this small review. In particular, we discuss the translation of fermionic T-duality into the supergravity fields via pure spinor formalism and show that a general class of fermionic transformations can be identified directly in the supergravity. In addition to discussing fermionic T-duality for the geometry AdS4 x CP3, dual to N=6 ABJM theory, we review work on other self-dual geometries. Finally, we present a short round-up of studies with a formal interest in fermionic T-duality.
| 11.272398
| 10.944485
| 12.657881
| 10.913987
| 11.080467
| 10.485139
| 11.15254
| 10.61915
| 10.24033
| 12.591764
| 10.468636
| 10.676455
| 11.212833
| 10.720206
| 10.642554
| 10.789505
| 10.83915
| 10.621181
| 10.800143
| 11.55251
| 10.829931
|
hep-th/0303030
|
Zappala' Dario
|
P. Castorina, D. Zappala'
|
Nonuniform symmetry breaking in noncommutative $\lambda \Phi^4$ theory
|
18 pages, 4 figures, added references
|
Phys.Rev. D68 (2003) 065008
|
10.1103/PhysRevD.68.065008
| null |
hep-th
| null |
The spontaneous symmetry breaking in noncommutative $\lambda\Phi^4$ theory
has been analyzed by using the formalism of the effective action for composite
operators in the Hartree-Fock approximation. It turns out that there is no
phase transition to a constant vacuum expectation of the field and the broken
phase corresponds to a nonuniform background. By considering $<\phi(x)>=A
\cos(\vec Q \cdot \vec x)$ the generated mass gap depends on the angles among
the momenta $\vec k$ and $\vec Q$ and the noncommutativity parameter
$\vec\theta$. The order of the transition is not easily determinable in our
approximation.
|
[
{
"created": "Tue, 4 Mar 2003 17:42:39 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Mar 2003 11:59:19 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Castorina",
"P.",
""
],
[
"Zappala'",
"D.",
""
]
] |
The spontaneous symmetry breaking in noncommutative $\lambda\Phi^4$ theory has been analyzed by using the formalism of the effective action for composite operators in the Hartree-Fock approximation. It turns out that there is no phase transition to a constant vacuum expectation of the field and the broken phase corresponds to a nonuniform background. By considering $<\phi(x)>=A \cos(\vec Q \cdot \vec x)$ the generated mass gap depends on the angles among the momenta $\vec k$ and $\vec Q$ and the noncommutativity parameter $\vec\theta$. The order of the transition is not easily determinable in our approximation.
| 7.862936
| 9.086701
| 8.538048
| 7.677824
| 8.107121
| 8.602898
| 7.528012
| 8.051675
| 7.538436
| 8.980434
| 7.84671
| 7.549782
| 7.584765
| 7.284298
| 7.950847
| 7.697399
| 7.68039
| 7.534176
| 7.35006
| 7.798449
| 7.653382
|
hep-th/0603178
|
L\'aszl\'o \'A Gergely
|
Zolt\'an Kov\'acs, L\'aszl\'o \'A. Gergely
|
New variables for brane-world gravity
|
6 pages, to appear in the Proceedings of the Albert Einstein's
Century International Conference, Paris 2005 (AIP Conference Proceedings,
2006)
|
AIP Conf. Proc. 861 (2006) 897-902
|
10.1063/1.2399675
| null |
hep-th gr-qc
| null |
Geometric variables naturally occurring in a time-like foliation of
brane-worlds are introduced. These consist of the induced metric and two sets
of lapse functions and shift vectors, supplemented by two sets of tensorial,
vectorial and scalar variables arising as projections of the two extrinsic
curvatures. A subset of these variables turn out to be dynamical. Brane-world
gravitational dynamics is given as the time evolution of these variables.
|
[
{
"created": "Thu, 23 Mar 2006 02:06:49 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Kovács",
"Zoltán",
""
],
[
"Gergely",
"László Á.",
""
]
] |
Geometric variables naturally occurring in a time-like foliation of brane-worlds are introduced. These consist of the induced metric and two sets of lapse functions and shift vectors, supplemented by two sets of tensorial, vectorial and scalar variables arising as projections of the two extrinsic curvatures. A subset of these variables turn out to be dynamical. Brane-world gravitational dynamics is given as the time evolution of these variables.
| 12.261167
| 12.46396
| 11.337717
| 11.065231
| 12.079046
| 10.814249
| 12.554523
| 10.027664
| 11.351617
| 13.839242
| 11.977533
| 11.76732
| 11.739865
| 11.09171
| 11.385487
| 11.492924
| 11.555177
| 10.79082
| 11.559362
| 11.629436
| 11.77486
|
1409.0886
|
Alexandra Terrana
|
Richard Brito, Alexandra Terrana, Matthew Johnson, Vitor Cardoso
|
The nonlinear dynamical stability of infrared modifications of gravity
|
24 pages, 18 figures
|
Phys. Rev. D 90, 124035 (2014)
|
10.1103/PhysRevD.90.124035
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Scalar forces "screened" by the Vainshtein mechanism may hold the key to
understanding the cosmological expansion of our universe, while predicting new
and exciting features in the interaction between massive bodies. Here we
explore the dynamics of the Vainshtein screening mechanism, focusing on the
decoupling limit of the DGP braneworld scenario and dRGT massive gravity. We
show that there is a vast set of initial conditions whose evolution is well
defined and which are driven to the static, screening solutions of these
theories. Screening solutions are stable and behave coherently under small
fluctuations: they oscillate and eventually settle to an equilibrium
configuration, the timescale for the oscillations and damping being dictated by
the Vainshtein radius of the screening solutions. At very late times, a
power-law decay ensues, in agreement with known analytical results. However, we
also conjecture that physically interesting processes such as gravitational
collapse of compact stars may not possess a well-posed initial value problem.
Finally, we construct solutions with nontrivial multipolar structure describing
the screening field of deformed, asymmetric bodies and show that higher
multipoles are screened more efficiently than the monopole component.
|
[
{
"created": "Tue, 2 Sep 2014 20:33:50 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Sep 2014 16:09:58 GMT",
"version": "v2"
}
] |
2014-12-17
|
[
[
"Brito",
"Richard",
""
],
[
"Terrana",
"Alexandra",
""
],
[
"Johnson",
"Matthew",
""
],
[
"Cardoso",
"Vitor",
""
]
] |
Scalar forces "screened" by the Vainshtein mechanism may hold the key to understanding the cosmological expansion of our universe, while predicting new and exciting features in the interaction between massive bodies. Here we explore the dynamics of the Vainshtein screening mechanism, focusing on the decoupling limit of the DGP braneworld scenario and dRGT massive gravity. We show that there is a vast set of initial conditions whose evolution is well defined and which are driven to the static, screening solutions of these theories. Screening solutions are stable and behave coherently under small fluctuations: they oscillate and eventually settle to an equilibrium configuration, the timescale for the oscillations and damping being dictated by the Vainshtein radius of the screening solutions. At very late times, a power-law decay ensues, in agreement with known analytical results. However, we also conjecture that physically interesting processes such as gravitational collapse of compact stars may not possess a well-posed initial value problem. Finally, we construct solutions with nontrivial multipolar structure describing the screening field of deformed, asymmetric bodies and show that higher multipoles are screened more efficiently than the monopole component.
| 11.702083
| 12.714135
| 11.250213
| 10.684491
| 11.477028
| 11.489319
| 11.182969
| 10.913579
| 12.053988
| 11.278756
| 11.052926
| 11.45477
| 10.96064
| 10.877233
| 11.020316
| 11.147819
| 10.851622
| 11.204967
| 10.973445
| 11.552018
| 10.984244
|
hep-th/0007033
|
George Tsitsishvili
|
M. Eliashvili and G. Tsitsishvili
|
Chern-Simons Theory and Quantum Fields in the Lowest Landau Level
|
8 pages, RevTex
|
Int.J.Mod.Phys. B14 (2000) 1429
|
10.1142/S0217979200001357
| null |
hep-th cond-mat
| null |
By considering the area preserving geometric transformations in the
configuration space of electrons moving in the lowest Landau level (LLL) we
arrive at the Chern-Simons type Lagrangian. Imposing the LLL condition, we get
a scheme with the complex gauge fields and transformations. Quantum theory for
the matter field in LLL is considered and formal expressions for Read's
operator and Laughlin wave function are presented in the second quantized form.
|
[
{
"created": "Wed, 5 Jul 2000 08:25:11 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Eliashvili",
"M.",
""
],
[
"Tsitsishvili",
"G.",
""
]
] |
By considering the area preserving geometric transformations in the configuration space of electrons moving in the lowest Landau level (LLL) we arrive at the Chern-Simons type Lagrangian. Imposing the LLL condition, we get a scheme with the complex gauge fields and transformations. Quantum theory for the matter field in LLL is considered and formal expressions for Read's operator and Laughlin wave function are presented in the second quantized form.
| 19.153406
| 13.837593
| 17.947809
| 14.785644
| 14.680091
| 16.112074
| 13.995683
| 15.551047
| 13.87279
| 19.498533
| 15.130311
| 15.252656
| 17.707788
| 15.715429
| 15.782619
| 15.666004
| 15.665223
| 15.197542
| 15.745087
| 17.315681
| 14.971143
|
hep-th/9811103
|
Jose Abdalla Helayel-Neto
|
M. Carvalho (1), J. A. Helayel-Neto (2), M. W. de Oliveira (2) ((1)
Dep. Mathematics Waseda University, (2) Centro Brasileiro de Pesquisas
Fisicas CBPF)
|
The Geometry of N=1 and N=2 Real Supersymmetric Non-Linear Sigma-Models
in the Atiyah-Ward Space-Time
|
12 pages, no figures
| null | null | null |
hep-th
| null |
We analyse the structure of N=1 and N=2 supersymmetric non-linear
sigma-models built up with a pair of real superfields defined in the superspace
of Atiyah-Ward space-time. The geometry arising has new features such as the
existence of a locally product structure (N=1 case) and a set of automorphisms
of the tangent space that is isomorphic to the split-quaternionic algebra (N=2
case).
|
[
{
"created": "Wed, 11 Nov 1998 23:26:23 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Carvalho",
"M.",
""
],
[
"Helayel-Neto",
"J. A.",
""
],
[
"de Oliveira",
"M. W.",
""
]
] |
We analyse the structure of N=1 and N=2 supersymmetric non-linear sigma-models built up with a pair of real superfields defined in the superspace of Atiyah-Ward space-time. The geometry arising has new features such as the existence of a locally product structure (N=1 case) and a set of automorphisms of the tangent space that is isomorphic to the split-quaternionic algebra (N=2 case).
| 11.171933
| 10.367694
| 11.96291
| 10.153415
| 10.189657
| 10.929092
| 10.931487
| 9.442681
| 10.011241
| 12.195982
| 9.858085
| 9.384771
| 11.503253
| 10.430574
| 9.983952
| 10.229576
| 10.016374
| 9.831297
| 10.143122
| 11.287509
| 9.659956
|
hep-th/9306162
|
Juergen Fuchs
|
J. Fuchs
|
Fusion rules in conformal field theory
|
68 pages, LaTeX. changed contents of footnote no. 9
|
Fortsch.Phys. 42 (1994) 1-48
|
10.1002/prop.2190420102
| null |
hep-th
| null |
Several aspects of fusion rings and fusion rule algebras, and of their
manifestations in twodimensional (conformal) field theory, are described:
diagonalization and the connection with modular invariance; the presentation in
terms of quotients of polynomial rings; fusion graphs; various strategies that
allow for a partial classification; and the role of the fusion rules in the
conformal bootstrap programme.
|
[
{
"created": "Wed, 30 Jun 1993 16:28:02 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Jul 1993 15:56:20 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Fuchs",
"J.",
""
]
] |
Several aspects of fusion rings and fusion rule algebras, and of their manifestations in twodimensional (conformal) field theory, are described: diagonalization and the connection with modular invariance; the presentation in terms of quotients of polynomial rings; fusion graphs; various strategies that allow for a partial classification; and the role of the fusion rules in the conformal bootstrap programme.
| 13.187035
| 12.599295
| 15.925217
| 11.605335
| 13.550095
| 13.557069
| 12.48919
| 11.330276
| 11.975732
| 17.033695
| 11.694503
| 11.210614
| 13.076397
| 11.289999
| 11.255236
| 11.252458
| 10.878162
| 11.547314
| 11.593204
| 12.808914
| 11.52088
|
1212.4103
|
Zohar Komargodski
|
Zohar Komargodski and Alexander Zhiboedov
|
Convexity and Liberation at Large Spin
|
61 pages, 13 figures. v2: added reference and minor correction
| null |
10.1007/JHEP11(2013)140
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider several aspects of unitary higher-dimensional conformal field
theories (CFTs). We first study massive deformations that trigger a flow to a
gapped phase. Deep inelastic scattering in the gapped phase leads to a
convexity property of dimensions of spinning operators of the original CFT. We
further investigate the dimensions of spinning operators via the crossing
equations in the light-cone limit. We find that, in a sense, CFTs become free
at large spin and 1/s is a weak coupling parameter. The spectrum of CFTs enjoys
additivity: if two twists tau_1, tau_2 appear in the spectrum, there are
operators whose twists are arbitrarily close to tau_1+tau_2. We characterize
how tau_1+tau_2 is approached at large spin by solving the crossing equations
analytically. We find the precise form of the leading correction, including the
prefactor. We compare with examples where these observables were computed in
perturbation theory, or via gauge-gravity duality, and find complete agreement.
The crossing equations show that certain operators have a convex spectrum in
twist space. We also observe a connection between convexity and the ratio of
dimension to charge. Applications include the 3d Ising model, theories with a
gravity dual, SCFTs, and patterns of higher spin symmetry breaking.
|
[
{
"created": "Mon, 17 Dec 2012 19:09:49 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Oct 2013 19:04:05 GMT",
"version": "v2"
}
] |
2015-06-12
|
[
[
"Komargodski",
"Zohar",
""
],
[
"Zhiboedov",
"Alexander",
""
]
] |
We consider several aspects of unitary higher-dimensional conformal field theories (CFTs). We first study massive deformations that trigger a flow to a gapped phase. Deep inelastic scattering in the gapped phase leads to a convexity property of dimensions of spinning operators of the original CFT. We further investigate the dimensions of spinning operators via the crossing equations in the light-cone limit. We find that, in a sense, CFTs become free at large spin and 1/s is a weak coupling parameter. The spectrum of CFTs enjoys additivity: if two twists tau_1, tau_2 appear in the spectrum, there are operators whose twists are arbitrarily close to tau_1+tau_2. We characterize how tau_1+tau_2 is approached at large spin by solving the crossing equations analytically. We find the precise form of the leading correction, including the prefactor. We compare with examples where these observables were computed in perturbation theory, or via gauge-gravity duality, and find complete agreement. The crossing equations show that certain operators have a convex spectrum in twist space. We also observe a connection between convexity and the ratio of dimension to charge. Applications include the 3d Ising model, theories with a gravity dual, SCFTs, and patterns of higher spin symmetry breaking.
| 10.498704
| 10.953942
| 11.125354
| 9.636642
| 10.978205
| 11.694489
| 10.360533
| 10.503225
| 10.206208
| 12.162933
| 10.378569
| 10.312019
| 10.590872
| 10.206706
| 10.277519
| 9.997142
| 10.451161
| 10.203658
| 10.178208
| 10.64678
| 9.972163
|
0906.2913
|
Richard Szabo
|
Richard J. Szabo
|
Quantum Gravity, Field Theory and Signatures of Noncommutative Spacetime
|
26 pages, 4 figures; v2: comments and references added; v3: typos
corrected, clarifying comments and references added; Based on Plenary Lecture
delivered at the XXIX Encontro Nacional de Fisica de Particulas e Campos, Sao
Lourenco, Brasil, September 22-26, 2008; Final version to be published in
General Relativity and Gravitation
|
Gen.Rel.Grav.42:1-29,2010
|
10.1007/s10714-009-0897-4
|
HWM-09-5, EMPG-09-10
|
hep-th astro-ph.HE gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A pedagogical introduction to some of the main ideas and results of field
theories on quantized spacetimes is presented, with emphasis on what such field
theories may teach us about the problem of quantizing gravity. We examine to
what extent noncommutative gauge theories may be regarded as gauge theories of
gravity. UV/IR mixing is explained in detail and we describe its relations to
renormalization, to gravitational dynamics, and to deformed dispersion
relations in models of quantum spacetime of interest in string theory and in
doubly special relativity. We also discuss some potential experimental probes
of spacetime noncommutativity.
|
[
{
"created": "Tue, 16 Jun 2009 15:36:45 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Jul 2009 09:54:00 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Oct 2009 16:22:04 GMT",
"version": "v3"
}
] |
2014-11-20
|
[
[
"Szabo",
"Richard J.",
""
]
] |
A pedagogical introduction to some of the main ideas and results of field theories on quantized spacetimes is presented, with emphasis on what such field theories may teach us about the problem of quantizing gravity. We examine to what extent noncommutative gauge theories may be regarded as gauge theories of gravity. UV/IR mixing is explained in detail and we describe its relations to renormalization, to gravitational dynamics, and to deformed dispersion relations in models of quantum spacetime of interest in string theory and in doubly special relativity. We also discuss some potential experimental probes of spacetime noncommutativity.
| 9.334206
| 7.889527
| 8.774012
| 7.387432
| 8.738001
| 8.083545
| 8.000849
| 8.189569
| 7.885865
| 9.363297
| 8.310044
| 7.739755
| 8.670489
| 8.015324
| 8.142413
| 8.035259
| 7.903653
| 7.949531
| 7.842279
| 8.284714
| 7.778157
|
1912.10271
|
Leslaw Rachwal
|
Petr Jizba, Leslaw Rachwal, and Jaroslav Knap
|
Infrared behavior of Weyl Gravity: Functional Renormalization Group
approach
|
21 pages (main article), 15 pages (supplemental material), 1 figure;
journal version with a supplement added at the end of the main article,
citations and hyperlinks added
|
Phys. Rev. D 101, 044050 (2020) no. 4
|
10.1103/PhysRevD.101.044050
| null |
hep-th gr-qc math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Starting from an ultraviolet fixed point, we study the infrared behavior of
quantum Weyl gravity in terms of a functional renormalization group (RG) flow
equation. To do so, we employ two classes of Bach-flat backgrounds, namely
maximally symmetric spacetimes and Ricci-flat backgrounds in the improved
one-loop scheme. We show that in the absence of matter fields and with a
topological term included, the effective action exhibits dynamical breaking of
scale symmetry. In particular, it is shown that apart from a genuine IR fixed
point that is reached at a zero-value of the running scale, the RG flow also
exhibits bouncing behavior in the IR regime. We demonstrate that both $\beta_C$
and $\beta_E$ reach the RG turning point (almost) simultaneously at the same
finite energy scale, irrespectively of the chosen background. The IR fixed
point itself is found to be IR-stable in the space of the considered couplings.
Ensuing scaling dimensions of both operators are also computed. Salient issues,
including the connection of the observed bouncing RG flow behavior with
holography and prospective implications in early Universe cosmology, are also
briefly discussed.
|
[
{
"created": "Sat, 21 Dec 2019 14:42:32 GMT",
"version": "v1"
},
{
"created": "Mon, 18 May 2020 13:11:48 GMT",
"version": "v2"
}
] |
2020-05-19
|
[
[
"Jizba",
"Petr",
""
],
[
"Rachwal",
"Leslaw",
""
],
[
"Knap",
"Jaroslav",
""
]
] |
Starting from an ultraviolet fixed point, we study the infrared behavior of quantum Weyl gravity in terms of a functional renormalization group (RG) flow equation. To do so, we employ two classes of Bach-flat backgrounds, namely maximally symmetric spacetimes and Ricci-flat backgrounds in the improved one-loop scheme. We show that in the absence of matter fields and with a topological term included, the effective action exhibits dynamical breaking of scale symmetry. In particular, it is shown that apart from a genuine IR fixed point that is reached at a zero-value of the running scale, the RG flow also exhibits bouncing behavior in the IR regime. We demonstrate that both $\beta_C$ and $\beta_E$ reach the RG turning point (almost) simultaneously at the same finite energy scale, irrespectively of the chosen background. The IR fixed point itself is found to be IR-stable in the space of the considered couplings. Ensuing scaling dimensions of both operators are also computed. Salient issues, including the connection of the observed bouncing RG flow behavior with holography and prospective implications in early Universe cosmology, are also briefly discussed.
| 12.682189
| 12.861119
| 12.162838
| 12.287135
| 14.187691
| 13.237306
| 12.935941
| 13.142873
| 12.401318
| 13.561388
| 12.542907
| 12.30913
| 12.096393
| 12.000141
| 12.438934
| 12.287466
| 12.386189
| 12.529623
| 12.095119
| 12.265517
| 12.228078
|
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