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float64 2.95
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| perplexity_s6-L-3.1-8B-base
float64 2.99
340
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float64 2.91
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float64 2.89
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float64 2.92
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float64 2.95
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0401073
|
Shin'ichi Nojiri
|
Iver Brevik, Shin'ichi Nojiri, Sergei D. Odintsov, Luciano Vanzo
|
Entropy and universality of Cardy-Verlinde formula in dark energy
universe
|
LaTeX file, 39 pages, references are added
|
Phys.Rev.D70:043520,2004
|
10.1103/PhysRevD.70.043520
| null |
hep-th astro-ph gr-qc
| null |
We study the entropy of a FRW universe filled with dark energy (cosmological
constant, quintessence or phantom). For general or time-dependent equation of
state $p=w\rho$ the entropy is expressed in terms of energy, Casimir energy,
and $w$. The correspondent expression reminds one about 2d CFT entropy only for
conformal matter. At the same time, the cosmological Cardy-Verlinde formula
relating three typical FRW universe entropies remains to be universal for any
type of matter. The same conclusions hold in modified gravity which represents
gravitational alternative for dark energy and which contains terms growing at
low curvature. It is interesting that BHs in modified gravity are more entropic
than in Einstein gravity. Finally, some hydrodynamical examples testing new
shear viscosity bound, which is expected to be the consequence of the
holographic entropy bound, are presented for the early universe in the plasma
era and for the Kasner metric. It seems that the Kasner metric provides a
counterexample to the new shear viscosity bound.
|
[
{
"created": "Mon, 12 Jan 2004 14:12:04 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Apr 2004 11:34:24 GMT",
"version": "v2"
}
] |
2009-01-14
|
[
[
"Brevik",
"Iver",
""
],
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
],
[
"Vanzo",
"Luciano",
""
]
] |
We study the entropy of a FRW universe filled with dark energy (cosmological constant, quintessence or phantom). For general or time-dependent equation of state $p=w\rho$ the entropy is expressed in terms of energy, Casimir energy, and $w$. The correspondent expression reminds one about 2d CFT entropy only for conformal matter. At the same time, the cosmological Cardy-Verlinde formula relating three typical FRW universe entropies remains to be universal for any type of matter. The same conclusions hold in modified gravity which represents gravitational alternative for dark energy and which contains terms growing at low curvature. It is interesting that BHs in modified gravity are more entropic than in Einstein gravity. Finally, some hydrodynamical examples testing new shear viscosity bound, which is expected to be the consequence of the holographic entropy bound, are presented for the early universe in the plasma era and for the Kasner metric. It seems that the Kasner metric provides a counterexample to the new shear viscosity bound.
| 14.142437
| 13.941066
| 14.573669
| 13.813878
| 14.251631
| 14.942837
| 14.476344
| 14.576053
| 13.746458
| 16.120766
| 13.535048
| 13.510795
| 13.863379
| 13.935186
| 14.004906
| 13.658121
| 13.511293
| 13.843196
| 13.413556
| 14.550234
| 13.232554
|
hep-th/9701004
|
Cornwall John
|
John M. Cornwall (UCLA)
|
Large-Order Perturbation Theory in Infrared-Unstable Superrenormalizable
Field Theories
|
28 pages, Latex, three .eps figures
|
Phys.Rev. D55 (1997) 6209-6217
|
10.1103/PhysRevD.55.6209
|
UCLA/96/TEP/36
|
hep-th
| null |
We study the factorial divergences of Euclidean $\phi^3_5$, a problem with
connections both to high-energy multiparticle scattering in d=4 and to d=3 (or
high-temperature) gauge theory, which like $\phi^3_5$ is infrared-unstable and
superrenormalizable. At large external momentum p (or small mass M) and large
order N one might expect perturbative bare skeleton graphs to behave roughly
like $N!(ag^2/p)^N$ with a>0, so that no matter how large p is there is an
$N\sim g^2/p$ giving rise to strong perturbative amplitudes. The semi-
classical Lipatov technique (which works only in the presence of a mass) is
blind to this momentum dependence, so we proceed by direct summation of bare
skeleton graphs. We find that the various limits of large N, large p, and small
M do not commute, and that when $N\gg p^2/M^2$ there is a Borel singularity
associated with $g^2/M$, not $g^2/p$. This is described by the zero-momentum
Lipatov technique, and we find the necessary soliton for $\phi^3_5$; the
corresponding sphaleron-like solution for unbroken Yang-Mills theory has long
been known. We also show that the massless theories have no classical solitons.
We discuss non-perturbative effects based partly on known physical arguments
concerning the cancellation by solitons of imaginary parts due to the pert-
urbative Borel singularity, and partly on the dressing of bare skeleton graphs
by dressed propagators showing non-perturbative mass generation, as happens in
d=3 gauge theory.
|
[
{
"created": "Thu, 2 Jan 1997 18:43:54 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Cornwall",
"John M.",
"",
"UCLA"
]
] |
We study the factorial divergences of Euclidean $\phi^3_5$, a problem with connections both to high-energy multiparticle scattering in d=4 and to d=3 (or high-temperature) gauge theory, which like $\phi^3_5$ is infrared-unstable and superrenormalizable. At large external momentum p (or small mass M) and large order N one might expect perturbative bare skeleton graphs to behave roughly like $N!(ag^2/p)^N$ with a>0, so that no matter how large p is there is an $N\sim g^2/p$ giving rise to strong perturbative amplitudes. The semi- classical Lipatov technique (which works only in the presence of a mass) is blind to this momentum dependence, so we proceed by direct summation of bare skeleton graphs. We find that the various limits of large N, large p, and small M do not commute, and that when $N\gg p^2/M^2$ there is a Borel singularity associated with $g^2/M$, not $g^2/p$. This is described by the zero-momentum Lipatov technique, and we find the necessary soliton for $\phi^3_5$; the corresponding sphaleron-like solution for unbroken Yang-Mills theory has long been known. We also show that the massless theories have no classical solitons. We discuss non-perturbative effects based partly on known physical arguments concerning the cancellation by solitons of imaginary parts due to the pert- urbative Borel singularity, and partly on the dressing of bare skeleton graphs by dressed propagators showing non-perturbative mass generation, as happens in d=3 gauge theory.
| 11.970798
| 14.138912
| 12.992045
| 12.170307
| 13.829338
| 13.395119
| 13.315839
| 12.679172
| 12.134238
| 13.480562
| 12.434118
| 12.226455
| 12.184966
| 11.830921
| 12.326377
| 11.933734
| 11.962309
| 12.077725
| 12.104837
| 12.568345
| 12.182596
|
2203.04973
|
Pratik Rath
|
Xi Dong, Donald Marolf, Pratik Rath, Amirhossein Tajdini and Zhencheng
Wang
|
The Spacetime Geometry of Fixed-Area States in Gravitational Systems
|
32 pages, 7 figures
| null |
10.1007/JHEP08(2022)158
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
The concept of fixed-area states has proven useful for recent studies of
quantum gravity, especially in connection with gravitational holography. We
explore the Lorentz-signature spacetime geometry intrinsic to such fixed-area
states in this paper. This contrasts with previous treatments which focused
instead on Euclidean-signature saddles for path integrals that prepare such
states. We analyze general features of fixed-area state geometries and
construct explicit examples. The spacetime metrics are real at real times and
have no conical singularities. With enough symmetry the classical metrics are
in fact smooth, though more generally their curvatures feature power-law
divergences along null congruences launched orthogonally from the fixed-area
surface. While we argue that such divergences are not problematic at the
classical level, quantum fields in fixed-area states feature stronger
divergences. At the quantum level we thus expect fixed-area states to be
well-defined only when the fixed-area surface is appropriately smeared.
|
[
{
"created": "Wed, 9 Mar 2022 19:00:00 GMT",
"version": "v1"
}
] |
2022-09-07
|
[
[
"Dong",
"Xi",
""
],
[
"Marolf",
"Donald",
""
],
[
"Rath",
"Pratik",
""
],
[
"Tajdini",
"Amirhossein",
""
],
[
"Wang",
"Zhencheng",
""
]
] |
The concept of fixed-area states has proven useful for recent studies of quantum gravity, especially in connection with gravitational holography. We explore the Lorentz-signature spacetime geometry intrinsic to such fixed-area states in this paper. This contrasts with previous treatments which focused instead on Euclidean-signature saddles for path integrals that prepare such states. We analyze general features of fixed-area state geometries and construct explicit examples. The spacetime metrics are real at real times and have no conical singularities. With enough symmetry the classical metrics are in fact smooth, though more generally their curvatures feature power-law divergences along null congruences launched orthogonally from the fixed-area surface. While we argue that such divergences are not problematic at the classical level, quantum fields in fixed-area states feature stronger divergences. At the quantum level we thus expect fixed-area states to be well-defined only when the fixed-area surface is appropriately smeared.
| 12.914412
| 12.212698
| 13.252189
| 11.526784
| 11.903241
| 12.248179
| 13.14864
| 11.18632
| 12.015282
| 13.629155
| 11.865264
| 11.676062
| 12.461823
| 11.781658
| 12.009283
| 11.903553
| 11.909154
| 11.532573
| 11.950279
| 12.232902
| 11.922168
|
2207.12963
|
Podist Kurashvili
|
Podist Kurashvili, Levan Chotorlishvili
|
Quantum discord and entropic measures of two relativistic fermions
|
18 pages, 10 figures
| null |
10.1088/1751-8121/aca7a0
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the present work, we study the interplay between relativistic effects and
quantumness in the system of two relativistic fermions. In particular, we
explore entropic measures of quantum correlations and quantum discord before
and after application of a boost and subsequent Wigner rotation. We also study
the positive operator-valued measurements (POVM) invasiveness before and after
the boosts. While the relativistic principle is universal and requires Lorentz
invariance of quantum correlations in the entire system, we have found specific
partitions where quantum correlations stored in particular subsystems are not
invariant. We calculate quantum discords corresponding of the states before and
after applying a boost, and observe that the state gains extra discord after
the boost. When analyzing the invasiveness of the POVMs, we have found that the
POVM applied to the initial entangled state reduces the discord to zero.
However, discord of the boosted state survives after the same POVM. Thus we
conclude that the quantum discord generated by Lorentz boost is robust
concerning the protective POVM, while the measurement exerts an invasive effect
on the discord of the initial state. Finally, we discuss potential
implementation of the ideas of this work using top quarks as a benchmark
scenario.
|
[
{
"created": "Tue, 26 Jul 2022 15:16:16 GMT",
"version": "v1"
}
] |
2022-12-21
|
[
[
"Kurashvili",
"Podist",
""
],
[
"Chotorlishvili",
"Levan",
""
]
] |
In the present work, we study the interplay between relativistic effects and quantumness in the system of two relativistic fermions. In particular, we explore entropic measures of quantum correlations and quantum discord before and after application of a boost and subsequent Wigner rotation. We also study the positive operator-valued measurements (POVM) invasiveness before and after the boosts. While the relativistic principle is universal and requires Lorentz invariance of quantum correlations in the entire system, we have found specific partitions where quantum correlations stored in particular subsystems are not invariant. We calculate quantum discords corresponding of the states before and after applying a boost, and observe that the state gains extra discord after the boost. When analyzing the invasiveness of the POVMs, we have found that the POVM applied to the initial entangled state reduces the discord to zero. However, discord of the boosted state survives after the same POVM. Thus we conclude that the quantum discord generated by Lorentz boost is robust concerning the protective POVM, while the measurement exerts an invasive effect on the discord of the initial state. Finally, we discuss potential implementation of the ideas of this work using top quarks as a benchmark scenario.
| 11.439067
| 13.128626
| 12.102609
| 11.916593
| 13.014764
| 13.34046
| 12.702371
| 12.365231
| 11.746652
| 12.662541
| 11.563839
| 11.939779
| 11.330132
| 11.311731
| 11.234353
| 11.645386
| 11.609801
| 11.407028
| 11.196087
| 11.442329
| 11.412689
|
hep-th/9203050
|
Robert Mann
|
Dan Christensen and Robert B. Mann
|
The Causal Structure of Two-Dimensional Spacetimes
|
27 pgs., 5 figures (unavailable)
|
Class.Quant.Grav.9:1769-1786,1992
|
10.1088/0264-9381/9/7/010
| null |
hep-th
| null |
We investigate the causal structure of $(1+1)$-dimensional spacetimes. For
two sets of field equations we show that at least locally any spacetime is a
solution for an appropriate choice of the matter fields. For the theories under
consideration we investigate how smoothness of their black hole solutions
affects time orientation. We show that if an analog to Hawking's area theorem
holds in two spacetime dimensions, it must actually state that the size of a
black hole never {\em increases}, contrary to what happens in four dimensions.
Finally, we discuss the applicability of the Penrose and Hawking singularity
theorems to two spacetime dimensions.
|
[
{
"created": "Wed, 18 Mar 1992 15:08:18 GMT",
"version": "v1"
}
] |
2010-04-06
|
[
[
"Christensen",
"Dan",
""
],
[
"Mann",
"Robert B.",
""
]
] |
We investigate the causal structure of $(1+1)$-dimensional spacetimes. For two sets of field equations we show that at least locally any spacetime is a solution for an appropriate choice of the matter fields. For the theories under consideration we investigate how smoothness of their black hole solutions affects time orientation. We show that if an analog to Hawking's area theorem holds in two spacetime dimensions, it must actually state that the size of a black hole never {\em increases}, contrary to what happens in four dimensions. Finally, we discuss the applicability of the Penrose and Hawking singularity theorems to two spacetime dimensions.
| 8.919978
| 9.728277
| 8.222985
| 8.599936
| 8.69055
| 8.96457
| 9.672664
| 8.362045
| 9.410039
| 9.345561
| 8.655867
| 8.670862
| 8.553872
| 8.435272
| 8.587945
| 8.678495
| 8.69084
| 8.688696
| 8.649708
| 8.523602
| 8.513826
|
1102.0232
|
Edmond Iancu
|
Y. Hatta, E. Iancu, A.H. Mueller, D.N. Triantafyllopoulos
|
Radiation by a heavy quark in N=4 SYM at strong coupling
|
22 pages
| null |
10.1016/j.nuclphysb.2011.04.011
|
CERN-PH-TH-2011-021
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the AdS/CFT correspondence in the supergravity approximation, we
compute the energy density radiated by a heavy quark undergoing some arbitrary
motion in the vacuum of the strongly coupled N=4 supersymmetric Yang-Mills
theory. We find that this energy is fully generated via backreaction from the
near-boundary endpoint of the dual string attached to the heavy quark. Because
of that, the energy distribution shows the same space-time localization as the
classical radiation that would be produced by the heavy quark at weak coupling.
We believe that this and some other unnatural features of our result (like its
anisotropy and the presence of regions with negative energy density) are
artifacts of the supergravity approximation, which will be corrected after
including string fluctuations. For the case where the quark trajectory is
bounded, we also compute the radiated power, by integrating the energy density
over the surface of a sphere at infinity. For sufficiently large times, we find
agreement with a previous calculation by Mikhailov [hep-th/0305196].
|
[
{
"created": "Tue, 1 Feb 2011 17:42:48 GMT",
"version": "v1"
}
] |
2015-05-27
|
[
[
"Hatta",
"Y.",
""
],
[
"Iancu",
"E.",
""
],
[
"Mueller",
"A. H.",
""
],
[
"Triantafyllopoulos",
"D. N.",
""
]
] |
Using the AdS/CFT correspondence in the supergravity approximation, we compute the energy density radiated by a heavy quark undergoing some arbitrary motion in the vacuum of the strongly coupled N=4 supersymmetric Yang-Mills theory. We find that this energy is fully generated via backreaction from the near-boundary endpoint of the dual string attached to the heavy quark. Because of that, the energy distribution shows the same space-time localization as the classical radiation that would be produced by the heavy quark at weak coupling. We believe that this and some other unnatural features of our result (like its anisotropy and the presence of regions with negative energy density) are artifacts of the supergravity approximation, which will be corrected after including string fluctuations. For the case where the quark trajectory is bounded, we also compute the radiated power, by integrating the energy density over the surface of a sphere at infinity. For sufficiently large times, we find agreement with a previous calculation by Mikhailov [hep-th/0305196].
| 6.823239
| 7.270798
| 8.176766
| 7.101514
| 6.948525
| 7.330612
| 7.274147
| 7.485875
| 6.795525
| 8.976813
| 7.114802
| 6.631844
| 6.934889
| 6.780461
| 6.792912
| 6.90044
| 6.780122
| 6.677615
| 6.754977
| 7.00461
| 6.805805
|
1012.5725
|
Hideki Ishihara
|
Takahisa Igata, Hideki Ishihara, and Yohsuke Takamori
|
Chaos in Geodesic Motion around a Black Ring
|
6 pages, 6 figures
|
Phys.Rev.D83:047501,2011
|
10.1103/PhysRevD.83.047501
|
OCU-PHYS 343, AP-GR 87
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study bound orbits of a free particle around a singly rotating black ring.
We find there exists chaotic motion of a particle which is gravitationally
bound to the black ring by using the Poincare map.
|
[
{
"created": "Tue, 28 Dec 2010 09:10:40 GMT",
"version": "v1"
}
] |
2011-02-15
|
[
[
"Igata",
"Takahisa",
""
],
[
"Ishihara",
"Hideki",
""
],
[
"Takamori",
"Yohsuke",
""
]
] |
We study bound orbits of a free particle around a singly rotating black ring. We find there exists chaotic motion of a particle which is gravitationally bound to the black ring by using the Poincare map.
| 17.752647
| 12.473992
| 12.401705
| 11.920428
| 13.526071
| 11.279764
| 11.632128
| 8.810169
| 11.900352
| 12.543614
| 11.472528
| 13.597244
| 13.910806
| 12.475414
| 13.160972
| 13.122549
| 13.924091
| 12.642297
| 13.756222
| 12.789824
| 13.78264
|
hep-th/9404098
| null |
E. Ivanov and A. Sutulin
|
Sigma Models in (4,4) Harmonic Superspace
|
33 p, BONN-TH-94-02
|
Nucl.Phys. B432 (1994) 246-280; Erratum-ibid. B483 (1997) 531
|
10.1016/0550-3213(94)90602-5
| null |
hep-th
| null |
We define basics of $(4,4)\;\; 2D$ harmonic superspace with two independent
sets of $SU(2)$ harmonic variables and apply it to construct new superfield
actions of $(4,4)$ supersymmetric two-dimensional sigma models with torsion and
mutually commuting left and right complex structures, as well as of their
massive deformations. We show that the generic off-shell sigma model action is
the general action of constrained analytic superfields $q^{(1,1)}$ representing
twisted $N=4$ multiplets in $(4,4)$ harmonic superspace. The massive term of
$q^{(1,1)}$ is shown to be unique; it generates a scalar potential the form of
which is determined by the metric on the target bosonic manifold. We discuss in
detail $(4,4)$ supersymmetric group manifold $SU(2)\times U(1)$ WZNW sigma
model and its Liouville deformation. A deep analogy of the relevant
superconformally invariant analytic superfield action to that of the improved
tensor $N=2\;\;4D$ multiplet is found. We define $(4,4)$ duality transformation
and find new off-shell dual representations of the previously constructed
actions via {\it unconstrained} analytic $(4,4)$ superfields. The dual
representation suggests some hints of how to describe $(4,4)$ models with
non-commuting complex structures in the harmonic superspace.
|
[
{
"created": "Fri, 15 Apr 1994 22:30:05 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Ivanov",
"E.",
""
],
[
"Sutulin",
"A.",
""
]
] |
We define basics of $(4,4)\;\; 2D$ harmonic superspace with two independent sets of $SU(2)$ harmonic variables and apply it to construct new superfield actions of $(4,4)$ supersymmetric two-dimensional sigma models with torsion and mutually commuting left and right complex structures, as well as of their massive deformations. We show that the generic off-shell sigma model action is the general action of constrained analytic superfields $q^{(1,1)}$ representing twisted $N=4$ multiplets in $(4,4)$ harmonic superspace. The massive term of $q^{(1,1)}$ is shown to be unique; it generates a scalar potential the form of which is determined by the metric on the target bosonic manifold. We discuss in detail $(4,4)$ supersymmetric group manifold $SU(2)\times U(1)$ WZNW sigma model and its Liouville deformation. A deep analogy of the relevant superconformally invariant analytic superfield action to that of the improved tensor $N=2\;\;4D$ multiplet is found. We define $(4,4)$ duality transformation and find new off-shell dual representations of the previously constructed actions via {\it unconstrained} analytic $(4,4)$ superfields. The dual representation suggests some hints of how to describe $(4,4)$ models with non-commuting complex structures in the harmonic superspace.
| 8.348849
| 8.160276
| 9.54989
| 7.961811
| 8.200682
| 8.178971
| 7.673824
| 7.77675
| 7.716317
| 10.851937
| 8.046775
| 8.1004
| 8.400762
| 7.819285
| 7.98036
| 7.898104
| 7.864726
| 7.865649
| 8.157609
| 8.299109
| 7.857343
|
1010.4803
|
John Kehayias
|
Michael Dine, Guido Festuccia, John Kehayias and Weitao Wu
|
Axions in the Landscape and String Theory
|
18 pages; v2, updated and added references
|
JHEP 1101:012,2011
|
10.1007/JHEP01(2011)012
|
SCIPP 10/07
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
While axions seem ubiquitous in critical string theories, whether they might
survive in any string theoretic description of nature is a difficult question.
With some mild assumptions, one can frame the issues in the case that there is
an approximate supersymmetry below the underlying string scale. The problem of
axions is then closely tied to the question of how moduli are fixed. We
consider, from this viewpoint, the possibility that supersymmetry is broken at
an intermediate scale, as in "gravity mediation," at a low scale, as in gauge
mediation, and at a very high scale, to model the possibility that there is no
low energy supersymmetry. Putative mechanisms for moduli fixing can then be
systematically classified, and at least for intermediate and high scale
breaking, light axions appear plausible. In the course of this work, we are
lead to consider aspects of moduli fixing and supersymmetry breaking, and we
revisit the possibility of very large extra dimensions.
|
[
{
"created": "Fri, 22 Oct 2010 20:01:28 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Nov 2010 17:30:53 GMT",
"version": "v2"
}
] |
2011-01-27
|
[
[
"Dine",
"Michael",
""
],
[
"Festuccia",
"Guido",
""
],
[
"Kehayias",
"John",
""
],
[
"Wu",
"Weitao",
""
]
] |
While axions seem ubiquitous in critical string theories, whether they might survive in any string theoretic description of nature is a difficult question. With some mild assumptions, one can frame the issues in the case that there is an approximate supersymmetry below the underlying string scale. The problem of axions is then closely tied to the question of how moduli are fixed. We consider, from this viewpoint, the possibility that supersymmetry is broken at an intermediate scale, as in "gravity mediation," at a low scale, as in gauge mediation, and at a very high scale, to model the possibility that there is no low energy supersymmetry. Putative mechanisms for moduli fixing can then be systematically classified, and at least for intermediate and high scale breaking, light axions appear plausible. In the course of this work, we are lead to consider aspects of moduli fixing and supersymmetry breaking, and we revisit the possibility of very large extra dimensions.
| 10.314191
| 10.702462
| 11.285624
| 10.176865
| 11.820787
| 12.00731
| 12.403775
| 11.319039
| 10.23689
| 11.468961
| 10.765973
| 10.422946
| 10.626601
| 10.279853
| 10.746403
| 10.656563
| 10.808336
| 10.576921
| 10.508869
| 10.725376
| 10.675571
|
1205.7072
|
Frans Klinkhamer
|
F. R. Klinkhamer
|
On vacuum-energy decay from particle production
|
10 pages, v6: published version with Note Added in Proof
|
Mod. Phys. Lett. A 27, 1250150 (2012)
|
10.1142/S0217732312501507
|
KA-TP-23-2012
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A simplified (but consistent) description of particle-production backreaction
effects in de Sitter spacetime is given.
|
[
{
"created": "Thu, 31 May 2012 18:53:34 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jun 2012 17:47:35 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Jun 2012 17:28:11 GMT",
"version": "v3"
},
{
"created": "Mon, 18 Jun 2012 18:11:35 GMT",
"version": "v4"
},
{
"created": "Fri, 13 Jul 2012 15:01:01 GMT",
"version": "v5"
},
{
"created": "Thu, 2 Aug 2012 13:53:15 GMT",
"version": "v6"
}
] |
2012-08-03
|
[
[
"Klinkhamer",
"F. R.",
""
]
] |
A simplified (but consistent) description of particle-production backreaction effects in de Sitter spacetime is given.
| 40.587456
| 20.384237
| 26.508492
| 23.035629
| 21.855101
| 21.706875
| 20.030933
| 19.811892
| 21.660421
| 27.759222
| 19.440289
| 22.904079
| 25.179625
| 24.273075
| 22.581232
| 21.209856
| 23.10313
| 20.015886
| 25.450426
| 23.639906
| 21.356861
|
hep-th/9905211
|
Ruth Britto-Pacumio
|
Ruth Britto-Pacumio, Andrew Strominger and Anastasia Volovich
|
Holography for Coset Spaces
|
Harvmac, 23 pages. Additions/correction to section 3.2
|
JHEP 9911:013,1999
|
10.1088/1126-6708/1999/11/013
|
HUTP-99/A023
|
hep-th
| null |
M/string theory on noncompact, negatively curved, cosets which generalize
$AdS_{D+1}=SO(D,2)/SO(D,1)$ is considered. Holographic descriptions in terms of
a conformal field theory on the boundary of the spacetime are proposed.
Examples include $SU(2,1)/U(2)$, which is a Euclidean signature (4,0) space
with no supersymmetry, and $SO(2,2)/SO(2)$ and $SO(3,2)/SO(3)$, which are
Lorentzian signature (4,1) and (6,1) spaces with eight supersymmetries.
Qualitatively new features arise due to the degenerate nature of the conformal
boundary metric.
|
[
{
"created": "Thu, 27 May 1999 19:18:17 GMT",
"version": "v1"
},
{
"created": "Mon, 31 May 1999 18:48:02 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Britto-Pacumio",
"Ruth",
""
],
[
"Strominger",
"Andrew",
""
],
[
"Volovich",
"Anastasia",
""
]
] |
M/string theory on noncompact, negatively curved, cosets which generalize $AdS_{D+1}=SO(D,2)/SO(D,1)$ is considered. Holographic descriptions in terms of a conformal field theory on the boundary of the spacetime are proposed. Examples include $SU(2,1)/U(2)$, which is a Euclidean signature (4,0) space with no supersymmetry, and $SO(2,2)/SO(2)$ and $SO(3,2)/SO(3)$, which are Lorentzian signature (4,1) and (6,1) spaces with eight supersymmetries. Qualitatively new features arise due to the degenerate nature of the conformal boundary metric.
| 5.67392
| 4.917557
| 5.659539
| 4.651103
| 4.933666
| 4.709615
| 5.105291
| 4.727026
| 4.979829
| 6.50106
| 4.980044
| 4.914449
| 5.012167
| 4.657352
| 4.851166
| 4.947457
| 4.894028
| 4.721904
| 4.772815
| 5.080474
| 4.882854
|
hep-th/9804065
|
Harald Dorn
|
H. Dorn
|
The mass term in non-Abelian gauge field dynamics on matrix D-branes and
T-duality in the $\sigma$-model approach
|
13 pages, Latex, some typos corrected
|
JHEP 9804:013,1998
|
10.1088/1126-6708/1998/04/013
|
HU Berlin-EP-98/21
|
hep-th
| null |
The formal extension of the T-duality rules for open strings from Abelian to
non-Abelian gauge field background leads in a well known manner to the notion
of matrix valued D-brane position. The application of this concept to the
non-Abelian gauge field RG $\beta $-function of the corresponding $\sigma
$-model yields a mass term in the gauge field dynamics on the matrix D-brane.
The direct calculation in a corresponding D-brane model does $not$ yield such a
mass term, if the Dirichlet boundary condition is implemented as a constraint
on the integrand in the defining functional integral. However, the mass term
arises in the direct calculation for a D-brane model with dynamically realized
boundary condition.
|
[
{
"created": "Wed, 8 Apr 1998 12:17:13 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Apr 1998 09:33:13 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Dorn",
"H.",
""
]
] |
The formal extension of the T-duality rules for open strings from Abelian to non-Abelian gauge field background leads in a well known manner to the notion of matrix valued D-brane position. The application of this concept to the non-Abelian gauge field RG $\beta $-function of the corresponding $\sigma $-model yields a mass term in the gauge field dynamics on the matrix D-brane. The direct calculation in a corresponding D-brane model does $not$ yield such a mass term, if the Dirichlet boundary condition is implemented as a constraint on the integrand in the defining functional integral. However, the mass term arises in the direct calculation for a D-brane model with dynamically realized boundary condition.
| 11.784668
| 11.363845
| 11.517232
| 11.054615
| 11.859325
| 12.056643
| 11.109005
| 11.065139
| 10.666738
| 12.508959
| 11.315028
| 10.852596
| 10.850106
| 10.386001
| 10.313561
| 10.436212
| 10.51602
| 10.357996
| 11.058657
| 11.006826
| 10.88035
|
hep-th/9407150
|
P. K. Ghosh
|
Pijush K. Ghosh, Avinash Khare and Prasanta K. Panigrahi
|
$B \wedge F$ Term by Spontaneous Symmetry Breaking in a generalized
Abelian Higgs Model
|
7 pages, RevTeX, IP/BBSR/94-20
|
J.Phys. G21 (1995) 1303-1306
|
10.1088/0954-3899/21/10/003
| null |
hep-th
| null |
We show that the topological $B \wedge F$ term in $3+1$ dimensions can be
generated via spontaneous symmetry breaking in a generalized Abelian Higgs
model. Further, we also show that even in $D$ dimensions $ ( D \geq 3 ) $, a $B
\wedge F$ term gives rise to the topological massive excitations of the Abelian
gauge field and that such a $B \wedge F$ term can also be generated via Higgs
mechanism.
|
[
{
"created": "Fri, 22 Jul 1994 18:41:29 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Ghosh",
"Pijush K.",
""
],
[
"Khare",
"Avinash",
""
],
[
"Panigrahi",
"Prasanta K.",
""
]
] |
We show that the topological $B \wedge F$ term in $3+1$ dimensions can be generated via spontaneous symmetry breaking in a generalized Abelian Higgs model. Further, we also show that even in $D$ dimensions $ ( D \geq 3 ) $, a $B \wedge F$ term gives rise to the topological massive excitations of the Abelian gauge field and that such a $B \wedge F$ term can also be generated via Higgs mechanism.
| 6.313934
| 4.736533
| 5.467831
| 4.77021
| 4.900452
| 4.799055
| 4.719386
| 4.791216
| 4.799636
| 5.588067
| 4.80551
| 4.969104
| 5.656703
| 5.001275
| 5.037883
| 4.906131
| 4.9226
| 4.797139
| 5.039664
| 5.808899
| 5.133175
|
0805.1461
|
Michael Kuchiev
|
Michael Yu. Kuchiev
|
Charges of dyons in N=2 supersymmetric gauge theory
|
31 pages
|
Nucl.Phys.B803:113-134,2008
|
10.1016/j.nuclphysb.2008.05.022
| null |
hep-th
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
Expressions for electric and magnetic charges of dyons, which become massless
in the strong-coupling limit of the supersymmetric N=2 gauge theory with an
arbitrary gauge group are presented. Transitions into different vacua of the N
=1 gauge theory, when the N=2 supersymmetry is broken explicitly to the N =1
case, are discussed. The existence of a minimal set of light dyons, which are
necessary to describe this transition, is established. The total number of
these dyons equals the product of the rank and dual Coxeter number of the gauge
group. A conjecture, which states that this minimal set incorporates all
possible light dyons, is discussed. A relation of dyon charges with monodromies
at weak and strong couplings is outlined and comparison with known charges of
dyons for particular gauge groups is made.
|
[
{
"created": "Sat, 10 May 2008 10:26:42 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Kuchiev",
"Michael Yu.",
""
]
] |
Expressions for electric and magnetic charges of dyons, which become massless in the strong-coupling limit of the supersymmetric N=2 gauge theory with an arbitrary gauge group are presented. Transitions into different vacua of the N =1 gauge theory, when the N=2 supersymmetry is broken explicitly to the N =1 case, are discussed. The existence of a minimal set of light dyons, which are necessary to describe this transition, is established. The total number of these dyons equals the product of the rank and dual Coxeter number of the gauge group. A conjecture, which states that this minimal set incorporates all possible light dyons, is discussed. A relation of dyon charges with monodromies at weak and strong couplings is outlined and comparison with known charges of dyons for particular gauge groups is made.
| 8.066896
| 8.489211
| 8.292251
| 7.690833
| 8.180301
| 8.3585
| 7.767375
| 7.619247
| 7.541831
| 8.651987
| 7.584606
| 7.552883
| 7.970247
| 7.357118
| 7.540991
| 7.668555
| 7.525069
| 7.557818
| 7.837203
| 8.07964
| 7.679085
|
1301.1803
|
Antal Jakovac
|
A. Jakovac, P. Mati
|
Spectral function of the Bloch-Nordsieck model at finite temperature
|
16 pages, 9 figures, revtex4-1
| null |
10.1103/PhysRevD.87.125007
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we determine the exact fermionic spectral function of the
Bloch-Nordsieck model at finite temperature. Analytic results are presented for
some special parameters, for other values we have numerical results. The
spectral function is finite and normalizable for any nonzero temperature
values. The real time dependence of the retarded Green's function is power-like
for small times and exhibits exponential damping for large times. Treating the
temperature as an infrared regulator, we can also give a safe interpretation of
the zero temperature result.
|
[
{
"created": "Wed, 9 Jan 2013 10:36:14 GMT",
"version": "v1"
}
] |
2013-06-12
|
[
[
"Jakovac",
"A.",
""
],
[
"Mati",
"P.",
""
]
] |
In this paper we determine the exact fermionic spectral function of the Bloch-Nordsieck model at finite temperature. Analytic results are presented for some special parameters, for other values we have numerical results. The spectral function is finite and normalizable for any nonzero temperature values. The real time dependence of the retarded Green's function is power-like for small times and exhibits exponential damping for large times. Treating the temperature as an infrared regulator, we can also give a safe interpretation of the zero temperature result.
| 11.838237
| 10.726286
| 9.841221
| 9.476168
| 9.91303
| 10.084317
| 10.136486
| 10.779642
| 9.582226
| 10.080335
| 10.706786
| 9.804907
| 10.436258
| 9.753896
| 9.824303
| 10.302541
| 10.25631
| 10.328582
| 9.897617
| 10.595819
| 10.22351
|
2202.01239
|
Ling-Xiao Xu
|
Andrea Luzio, Ling-Xiao Xu
|
On the Derivation of Chiral Symmetry Breaking in QCD-like Theories and
S-confining Theories
|
24 pages+appendix; v2: references added, minor revision, conclusion
unchanged
| null |
10.1007/JHEP08(2022)016
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Recent works argue that the pattern of chiral symmetry breaking in QCD-like
theories can be derived from supersymmetric (SUSY) QCD with perturbation of
anomaly-mediated SUSY breaking (AMSB). Nevertheless, despite the fact that AMSB
needs to be a small (but still exact) perturbation, there are two other major
problems remaining unsolved: first, in order to derive the chiral symmetry
breaking pattern, one needs to minimize the potential along a certain specific
direction, identifying this direction fully as an outcome is nontrivial given
the moduli space of degenerate vacua in the SUSY limit; second, when SUSY is
broken, non-holomorphic states might emerge and be relevant for determining the
vacuum structure. In this work, we focus on SUSY QCD with $N_f\leq N_c+1$ and
perturb the theories using AMSB. Without minimizing the potential along a
certain specific direction in the moduli space, we successfully derive the
expected chiral symmetry breaking pattern when $N_f<N_c$. However, when
$N_f=N_c$ and $N_f=N_c+1$, we show that tree-level AMSB would induce runaway
directions, along which baryon number is spontaneously broken, and the vacua
with broken baryon number can be deeper while the field values are not far from
the origin. This implies that phase transitions and/or non-holomorphic physics
are necessary. Moreover, we perform explicit consistency checks on ultraviolet
insensitivity for different $N_f$ by adding the holomorphic mass term for the
last flavor, we find that the jump of AMSB potential indeed matches the
contribution from the holomorphic mass term. We also show in general that, when
tree-level AMSB is not vanishing, the origin of the moduli space in s-confining
theories does not persist as a minimum.
|
[
{
"created": "Wed, 2 Feb 2022 19:00:09 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jun 2022 10:43:21 GMT",
"version": "v2"
}
] |
2022-08-24
|
[
[
"Luzio",
"Andrea",
""
],
[
"Xu",
"Ling-Xiao",
""
]
] |
Recent works argue that the pattern of chiral symmetry breaking in QCD-like theories can be derived from supersymmetric (SUSY) QCD with perturbation of anomaly-mediated SUSY breaking (AMSB). Nevertheless, despite the fact that AMSB needs to be a small (but still exact) perturbation, there are two other major problems remaining unsolved: first, in order to derive the chiral symmetry breaking pattern, one needs to minimize the potential along a certain specific direction, identifying this direction fully as an outcome is nontrivial given the moduli space of degenerate vacua in the SUSY limit; second, when SUSY is broken, non-holomorphic states might emerge and be relevant for determining the vacuum structure. In this work, we focus on SUSY QCD with $N_f\leq N_c+1$ and perturb the theories using AMSB. Without minimizing the potential along a certain specific direction in the moduli space, we successfully derive the expected chiral symmetry breaking pattern when $N_f<N_c$. However, when $N_f=N_c$ and $N_f=N_c+1$, we show that tree-level AMSB would induce runaway directions, along which baryon number is spontaneously broken, and the vacua with broken baryon number can be deeper while the field values are not far from the origin. This implies that phase transitions and/or non-holomorphic physics are necessary. Moreover, we perform explicit consistency checks on ultraviolet insensitivity for different $N_f$ by adding the holomorphic mass term for the last flavor, we find that the jump of AMSB potential indeed matches the contribution from the holomorphic mass term. We also show in general that, when tree-level AMSB is not vanishing, the origin of the moduli space in s-confining theories does not persist as a minimum.
| 9.650359
| 9.319105
| 9.371964
| 8.91496
| 9.983059
| 9.907486
| 9.561052
| 9.470937
| 8.668869
| 9.843211
| 9.35814
| 9.13711
| 9.452965
| 9.117184
| 9.340622
| 9.382514
| 9.215048
| 9.310738
| 9.285567
| 9.560059
| 9.09516
|
hep-th/0203235
|
Edi Halyo
|
Edi Halyo
|
Holographic Inflation
|
19 pages in phyzzx.tex
|
JHEP 0402:062,2004
|
10.1088/1126-6708/2004/02/062
| null |
hep-th
| null |
Using the de Sitter/CFT correspondence we describe a scenario of holographic
inflation which is driven by a three dimensional boundary field theory. We find
that inflationary constraints severely restrict the $\beta$--function, the
anomalous dimensions and the value of the $C$--function of the boundary theory.
The scenario has model independent predictions such as $\epsilon<< \eta$,
$n_T<0.04$, $P_{tensor}/P_{scalar}<0.08$ and $H<10^{14} GeV$. We consider some
simple boundary theories and find that they do not lead to inflation. Thus,
building an acceptable holographic inflation model remains a challenge. We also
describe holographic quintessence and find that it closely resembles a
cosmological constant.
|
[
{
"created": "Tue, 26 Mar 2002 17:45:02 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Halyo",
"Edi",
""
]
] |
Using the de Sitter/CFT correspondence we describe a scenario of holographic inflation which is driven by a three dimensional boundary field theory. We find that inflationary constraints severely restrict the $\beta$--function, the anomalous dimensions and the value of the $C$--function of the boundary theory. The scenario has model independent predictions such as $\epsilon<< \eta$, $n_T<0.04$, $P_{tensor}/P_{scalar}<0.08$ and $H<10^{14} GeV$. We consider some simple boundary theories and find that they do not lead to inflation. Thus, building an acceptable holographic inflation model remains a challenge. We also describe holographic quintessence and find that it closely resembles a cosmological constant.
| 8.779696
| 9.102233
| 8.397612
| 8.55361
| 9.256887
| 8.924513
| 9.054323
| 8.268354
| 8.488956
| 9.38773
| 8.574641
| 8.770006
| 8.679819
| 8.406838
| 8.816073
| 8.873438
| 8.796946
| 8.639988
| 8.935624
| 8.611561
| 8.640416
|
1903.02807
|
Christian Saemann
|
Branislav Jurco, Christian Saemann, Urs Schreiber, Martin Wolf
|
Higher Structures in M-Theory
|
22 pages, Introductory Article to Proceedings of LMS/EPSRC Durham
Symposium Higher Structures in M-Theory, August 2018, references updated
| null |
10.1002/prop.201910001
|
DMUS-MP-19-02, EMPG-19-06
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The key open problem of string theory remains its non-perturbative completion
to M-theory. A decisive hint to its inner workings comes from numerous
appearances of higher structures in the limits of M-theory that are already
understood, such as higher degree flux fields and their dualities, or the
higher algebraic structures governing closed string field theory. These are all
controlled by the higher homotopy theory of derived categories, generalised
cohomology theories, and $L_\infty$-algebras. This is the introductory chapter
to the proceedings of the LMS/EPSRC Durham Symposium on Higher Structures in
M-Theory. We first review higher structures as well as their motivation in
string theory and beyond. Then we list the contributions in this volume,
putting them into context.
|
[
{
"created": "Thu, 7 Mar 2019 10:14:01 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Mar 2019 21:13:02 GMT",
"version": "v2"
}
] |
2021-07-28
|
[
[
"Jurco",
"Branislav",
""
],
[
"Saemann",
"Christian",
""
],
[
"Schreiber",
"Urs",
""
],
[
"Wolf",
"Martin",
""
]
] |
The key open problem of string theory remains its non-perturbative completion to M-theory. A decisive hint to its inner workings comes from numerous appearances of higher structures in the limits of M-theory that are already understood, such as higher degree flux fields and their dualities, or the higher algebraic structures governing closed string field theory. These are all controlled by the higher homotopy theory of derived categories, generalised cohomology theories, and $L_\infty$-algebras. This is the introductory chapter to the proceedings of the LMS/EPSRC Durham Symposium on Higher Structures in M-Theory. We first review higher structures as well as their motivation in string theory and beyond. Then we list the contributions in this volume, putting them into context.
| 9.613612
| 10.11877
| 11.99192
| 9.406005
| 10.357596
| 10.320134
| 9.903605
| 9.462798
| 9.711316
| 11.613994
| 9.378264
| 8.941253
| 9.850752
| 9.230163
| 9.148268
| 8.746707
| 8.965954
| 8.89722
| 9.177024
| 9.638042
| 8.956141
|
hep-th/9907163
|
Tim Prestidge
|
Tim Prestidge
|
Dynamic and Thermodynamic Stability and Negative Modes in
Schwarzschild-Anti-de Sitter
|
21 pages, 5 figures, LaTeX
|
Phys.Rev. D61 (2000) 084002
|
10.1103/PhysRevD.61.084002
|
DAMTP-1999-89
|
hep-th
| null |
The thermodynamic properties of Schwarzschild-anti-de Sitter black holes
confined within finite isothermal cavities are examined. In contrast to the
Schwarzschild case, the infinite cavity limit may be taken which, if suitably
stated, remains double valued. This allows the correspondence between
non-existence of negative modes for classical solutions and local thermodynamic
stability of the equilibrium configuration of such solutions to be shown in a
well defined manner. This is not possible in the asymptotically flat case.
Furthermore, the non-existence of negative modes for the larger black hole
solution in Schwarzschild-anti-de Sitter provides strong evidence in favour of
the recent positive energy conjecture by Horowitz and Myers.
|
[
{
"created": "Tue, 20 Jul 1999 13:49:35 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Prestidge",
"Tim",
""
]
] |
The thermodynamic properties of Schwarzschild-anti-de Sitter black holes confined within finite isothermal cavities are examined. In contrast to the Schwarzschild case, the infinite cavity limit may be taken which, if suitably stated, remains double valued. This allows the correspondence between non-existence of negative modes for classical solutions and local thermodynamic stability of the equilibrium configuration of such solutions to be shown in a well defined manner. This is not possible in the asymptotically flat case. Furthermore, the non-existence of negative modes for the larger black hole solution in Schwarzschild-anti-de Sitter provides strong evidence in favour of the recent positive energy conjecture by Horowitz and Myers.
| 10.07031
| 9.680418
| 9.353202
| 9.198935
| 9.382363
| 10.210461
| 9.283898
| 9.334413
| 9.095518
| 9.327753
| 9.259131
| 9.720679
| 9.685493
| 9.058
| 9.313813
| 9.46542
| 9.585568
| 9.25782
| 9.312655
| 9.520266
| 9.092125
|
1810.03612
|
Carlo Meneghelli
|
Federico Bonetti, Carlo Meneghelli, Leonardo Rastelli
|
VOAs labelled by complex reflection groups and 4d SCFTs
|
70 pages
| null |
10.1007/JHEP05(2019)155
| null |
hep-th math.QA math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We define and study a class of $\mathcal{N}=2$ vertex operator algebras
$\mathcal{W}_{\mathcal{\mathsf{G}}}$ labelled by complex reflection groups.
They are extensions of the $\mathcal{N}=2$ super Virasoro algebra obtained by
introducing additional generators, in correspondence with the invariants of the
complex reflection group $\mathcal{\mathsf{G}}$. If $\mathcal{\mathsf{G}}$ is a
Coxeter group, the $\mathcal{N}=2$ super Virasoro algebra enhances to the
(small) $\mathcal{N}=4$ superconformal algebra. With the exception of
$\mathcal{\mathsf{G}} = \mathbb{Z}_2$, which corresponds to just the
$\mathcal{N}=4$ algebra, these are non-deformable VOAs that exist only for a
specific negative value of the central charge. We describe a free-field
realization of $\mathcal{W}_{\mathcal{\mathsf{G}}}$ in terms of
rank$(\mathcal{\mathsf{G}})$ $\beta \gamma bc$ ghost systems, generalizing a
construction of Adamovic for the $\mathcal{N}=4$ algebra at $c = -9$. If
$\mathcal{\mathsf{G}}$ is a Weyl group, $\mathcal{W}_{\mathcal{\mathsf{G}}}$ is
believed to coincide with the $\mathcal{N}=4$ VOA that arises from the
four-dimensional super Yang-Mills theory whose gauge algebra has Weyl group
$\mathcal{\mathsf{G}}$. More generally, if $\mathcal{\mathsf{G}}$ is a
crystallographic complex reflection group, $\mathcal{W}_{\mathcal{\mathsf{G}}}$
is conjecturally associated to an $\mathcal{N}=3$ $4d$ superconformal field
theory. The free-field realization allows to determine the elusive
`$R$-filtration' of $\mathcal{W}_{\mathcal{\mathsf{G}}}$, and thus to recover
the full Macdonald index of the parent $4d$ theory
|
[
{
"created": "Mon, 8 Oct 2018 18:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Mar 2019 15:55:34 GMT",
"version": "v2"
}
] |
2019-06-26
|
[
[
"Bonetti",
"Federico",
""
],
[
"Meneghelli",
"Carlo",
""
],
[
"Rastelli",
"Leonardo",
""
]
] |
We define and study a class of $\mathcal{N}=2$ vertex operator algebras $\mathcal{W}_{\mathcal{\mathsf{G}}}$ labelled by complex reflection groups. They are extensions of the $\mathcal{N}=2$ super Virasoro algebra obtained by introducing additional generators, in correspondence with the invariants of the complex reflection group $\mathcal{\mathsf{G}}$. If $\mathcal{\mathsf{G}}$ is a Coxeter group, the $\mathcal{N}=2$ super Virasoro algebra enhances to the (small) $\mathcal{N}=4$ superconformal algebra. With the exception of $\mathcal{\mathsf{G}} = \mathbb{Z}_2$, which corresponds to just the $\mathcal{N}=4$ algebra, these are non-deformable VOAs that exist only for a specific negative value of the central charge. We describe a free-field realization of $\mathcal{W}_{\mathcal{\mathsf{G}}}$ in terms of rank$(\mathcal{\mathsf{G}})$ $\beta \gamma bc$ ghost systems, generalizing a construction of Adamovic for the $\mathcal{N}=4$ algebra at $c = -9$. If $\mathcal{\mathsf{G}}$ is a Weyl group, $\mathcal{W}_{\mathcal{\mathsf{G}}}$ is believed to coincide with the $\mathcal{N}=4$ VOA that arises from the four-dimensional super Yang-Mills theory whose gauge algebra has Weyl group $\mathcal{\mathsf{G}}$. More generally, if $\mathcal{\mathsf{G}}$ is a crystallographic complex reflection group, $\mathcal{W}_{\mathcal{\mathsf{G}}}$ is conjecturally associated to an $\mathcal{N}=3$ $4d$ superconformal field theory. The free-field realization allows to determine the elusive `$R$-filtration' of $\mathcal{W}_{\mathcal{\mathsf{G}}}$, and thus to recover the full Macdonald index of the parent $4d$ theory
| 3.539513
| 3.54181
| 3.834188
| 3.52333
| 3.610751
| 3.585507
| 3.557545
| 3.445379
| 3.482158
| 4.016765
| 3.508168
| 3.356565
| 3.535245
| 3.37376
| 3.376224
| 3.393922
| 3.388507
| 3.368502
| 3.367735
| 3.423586
| 3.390934
|
0711.3986
|
Dan Radu Grigore
|
D. R. Grigore
|
Cohomological Aspects of Gauge Invariance in the Causal Approach
|
57 pages, no figures
|
Rom.J.Phys.55:386-438,2010
| null | null |
hep-th
| null |
Quantum theory of the gauge models in the causal approach leads to some
cohomology problems. We investigate these problems in detail.
|
[
{
"created": "Mon, 26 Nov 2007 12:31:35 GMT",
"version": "v1"
}
] |
2011-03-17
|
[
[
"Grigore",
"D. R.",
""
]
] |
Quantum theory of the gauge models in the causal approach leads to some cohomology problems. We investigate these problems in detail.
| 36.530479
| 18.864109
| 26.572117
| 19.54142
| 19.75617
| 20.398808
| 22.448492
| 19.250967
| 19.248138
| 23.981749
| 21.902073
| 24.054308
| 25.585758
| 24.114042
| 22.570137
| 22.873083
| 22.655256
| 22.528618
| 24.663246
| 27.892403
| 22.386082
|
hep-th/0306242
|
Romuald A. Janik
|
Jan Ambjorn, Romuald A. Janik
|
Towards a diagrammatic derivation of the Veneziano-Yankielowicz-Taylor
superpotential
|
8 pages, 2 figures
|
Phys.Lett. B569 (2003) 81-84
|
10.1016/j.physletb.2003.07.018
| null |
hep-th
| null |
We show how it is possible to integrate out chiral matter fields in N=1
supersymmetric theories and in this way derive in a simple diagrammatic way the
$N_f S \log S - S \log \det X$ part of the Veneziano-Yankielowicz-Taylor
superpotential.
|
[
{
"created": "Wed, 25 Jun 2003 10:29:30 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Ambjorn",
"Jan",
""
],
[
"Janik",
"Romuald A.",
""
]
] |
We show how it is possible to integrate out chiral matter fields in N=1 supersymmetric theories and in this way derive in a simple diagrammatic way the $N_f S \log S - S \log \det X$ part of the Veneziano-Yankielowicz-Taylor superpotential.
| 15.132895
| 11.420929
| 15.694142
| 10.410572
| 11.451311
| 10.974946
| 11.740065
| 11.247643
| 12.350773
| 18.003027
| 11.863615
| 12.590935
| 12.229501
| 11.555797
| 12.280766
| 11.560076
| 11.430146
| 11.65595
| 12.248331
| 13.846298
| 12.013965
|
hep-th/0609213
|
Angel M. Uranga
|
L. E. Ibanez, A. M. Uranga
|
Neutrino Majorana Masses from String Theory Instanton Effects
|
40 pages, 4 figures (v2: added references, small corrections)(v3:
minor corrections)
|
JHEP 0703:052,2007
|
10.1088/1126-6708/2007/03/052
|
IFT-UAM/CSIC-06-45, CERN-PH-TH/2006-199
|
hep-th hep-ph
| null |
Finding a plausible origin for right-handed neutrino Majorana masses in
semirealistic compactifications of string theory remains one of the most
difficult problems in string phenomenology. We argue that right-handed neutrino
Majorana masses are induced by non-perturbative instanton effects in certain
classes of string compactifications in which the $U(1)_{B-L}$ gauge boson has a
St\"uckelberg mass. The induced operators are of the form $e^{-U}\nu_R\nu_R$
where $U$ is a closed string modulus whose imaginary part transforms
appropriately under $B-L$. This mass term may be quite large since this is not
a gauge instanton and $Re U$ is not directly related to SM gauge couplings.
Thus the size of the induced right-handed neutrino masses could be a few orders
of magnitude below the string scale, as phenomenologically required. It is also
argued that this origin for neutrino masses would predict the existence of
R-parity in SUSY versions of the SM. Finally we comment on other
phenomenological applications of similar instanton effects, like the generation
of a $\mu$-term, or of Yukawa couplings forbidden in perturbation theory.
|
[
{
"created": "Thu, 28 Sep 2006 18:59:28 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Oct 2006 13:23:15 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Feb 2007 11:09:25 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Ibanez",
"L. E.",
""
],
[
"Uranga",
"A. M.",
""
]
] |
Finding a plausible origin for right-handed neutrino Majorana masses in semirealistic compactifications of string theory remains one of the most difficult problems in string phenomenology. We argue that right-handed neutrino Majorana masses are induced by non-perturbative instanton effects in certain classes of string compactifications in which the $U(1)_{B-L}$ gauge boson has a St\"uckelberg mass. The induced operators are of the form $e^{-U}\nu_R\nu_R$ where $U$ is a closed string modulus whose imaginary part transforms appropriately under $B-L$. This mass term may be quite large since this is not a gauge instanton and $Re U$ is not directly related to SM gauge couplings. Thus the size of the induced right-handed neutrino masses could be a few orders of magnitude below the string scale, as phenomenologically required. It is also argued that this origin for neutrino masses would predict the existence of R-parity in SUSY versions of the SM. Finally we comment on other phenomenological applications of similar instanton effects, like the generation of a $\mu$-term, or of Yukawa couplings forbidden in perturbation theory.
| 7.156908
| 7.60966
| 7.57861
| 7.161134
| 8.312103
| 7.752548
| 8.095643
| 7.870918
| 6.955852
| 7.628681
| 7.129421
| 6.787532
| 7.283723
| 6.972424
| 7.003548
| 6.720442
| 6.82938
| 6.921143
| 6.917722
| 7.078098
| 6.829253
|
2204.02425
|
Andrei Linde
|
Renata Kallosh and Andrei Linde
|
Hybrid cosmological attractors
|
28 pages, 6 figures We expanded a discussion of the problem of
topological defects, of its possible resolution, and of the implementation of
this scenario in supergravity
| null |
10.1103/PhysRevD.106.023522
| null |
hep-th astro-ph.CO gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We construct $\alpha$-attractor versions of hybrid inflation models. In these
models, the potential of the inflaton field $\varphi$ is uplifted by the
potential of the second field $\chi$. This uplifting ends due to a tachyonic
instability with respect to the field $\chi$, which appears when $\varphi$
becomes smaller than some critical value $\varphi_{c}$. In the large $N$ limit,
these models have the standard universal $\alpha$-attractor predictions. In
particular, $n_{s }= 1- {2 \over N}$ for the exponential attractors. However,
in some special cases the large $N$ limit is reached only beyond the horizon,
for $N \gtrsim 60$. This may change predictions for the cosmological
observations. For any fixed $N$, in the limit of large uplift $V_{\rm up}$, or
in the limit of large $\varphi_{c}$, we find another attractor prediction, $
n_s = 1$. By changing the parameters $V_{\rm up}$ and $\varphi_{c}$ one can
continuously interpolate between the two attractor predictions $n_{s }= 1- {2
\over N}$ and $n_{s} = 1$. This provides significant flexibility, which can be
very welcome in view of the rapidly growing amount and precision of the
cosmological data. Our main result is not specific to the hybrid inflation
models. Rather, it is generic to any inflationary models where the inflaton
potential, for some reasons, is uplifted, and inflation ends prematurely.
|
[
{
"created": "Tue, 5 Apr 2022 18:03:50 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jun 2022 22:22:34 GMT",
"version": "v2"
}
] |
2022-08-31
|
[
[
"Kallosh",
"Renata",
""
],
[
"Linde",
"Andrei",
""
]
] |
We construct $\alpha$-attractor versions of hybrid inflation models. In these models, the potential of the inflaton field $\varphi$ is uplifted by the potential of the second field $\chi$. This uplifting ends due to a tachyonic instability with respect to the field $\chi$, which appears when $\varphi$ becomes smaller than some critical value $\varphi_{c}$. In the large $N$ limit, these models have the standard universal $\alpha$-attractor predictions. In particular, $n_{s }= 1- {2 \over N}$ for the exponential attractors. However, in some special cases the large $N$ limit is reached only beyond the horizon, for $N \gtrsim 60$. This may change predictions for the cosmological observations. For any fixed $N$, in the limit of large uplift $V_{\rm up}$, or in the limit of large $\varphi_{c}$, we find another attractor prediction, $ n_s = 1$. By changing the parameters $V_{\rm up}$ and $\varphi_{c}$ one can continuously interpolate between the two attractor predictions $n_{s }= 1- {2 \over N}$ and $n_{s} = 1$. This provides significant flexibility, which can be very welcome in view of the rapidly growing amount and precision of the cosmological data. Our main result is not specific to the hybrid inflation models. Rather, it is generic to any inflationary models where the inflaton potential, for some reasons, is uplifted, and inflation ends prematurely.
| 6.293666
| 6.389308
| 6.200203
| 6.188572
| 6.551715
| 6.310725
| 6.368262
| 6.198362
| 6.303451
| 6.43501
| 6.105656
| 5.949293
| 5.874501
| 5.995651
| 5.873787
| 6.14895
| 6.074769
| 6.10219
| 5.910617
| 6.24566
| 5.862278
|
hep-th/9803027
|
Oleg Lunin
|
Francesco Antonuccio, Oleg Lunin, Stephen S. Pinsky (Ohio State
University)
|
Bound States of Dimensionally Reduced {SYM}_{2+1} at Finite N
|
14 pages, REVTEX
|
Phys.Lett. B429 (1998) 327-335
|
10.1016/S0370-2693(98)00432-8
|
OHSTPY-HEP-TH-98-004
|
hep-th
| null |
We consider the dimensional reduction of N=1 {SYM}_{2+1} to 1+1 dimensions.
The gauge groups we consider are U(N) and SU(N), where N is finite. We
formulate the continuum bound state problem in the light-cone formalism, and
show that any normalizable SU(N) bound state must be a superposition of an
infinite number of Fock states. We also discuss how massless states arise in
the DLCQ formulation for certain discretizations.
|
[
{
"created": "Tue, 3 Mar 1998 22:13:14 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Antonuccio",
"Francesco",
"",
"Ohio State\n University"
],
[
"Lunin",
"Oleg",
"",
"Ohio State\n University"
],
[
"Pinsky",
"Stephen S.",
"",
"Ohio State\n University"
]
] |
We consider the dimensional reduction of N=1 {SYM}_{2+1} to 1+1 dimensions. The gauge groups we consider are U(N) and SU(N), where N is finite. We formulate the continuum bound state problem in the light-cone formalism, and show that any normalizable SU(N) bound state must be a superposition of an infinite number of Fock states. We also discuss how massless states arise in the DLCQ formulation for certain discretizations.
| 10.615308
| 8.45948
| 9.872331
| 8.342727
| 9.207397
| 10.079037
| 9.186776
| 8.577808
| 8.934607
| 10.291261
| 8.613289
| 9.636507
| 9.485194
| 9.254786
| 9.149619
| 9.41825
| 9.119734
| 9.052291
| 9.323482
| 9.733135
| 9.425706
|
hep-th/9801057
|
Ron Donagi
|
Gottfried Curio and Ron Y. Donagi
|
Moduli in N=1 heterotic/F-theory duality
|
Latex, 26 pages. Acknowledgements added
|
Nucl.Phys. B518 (1998) 603-631
|
10.1016/S0550-3213(98)00185-0
|
IASSNS-HEP-97/139
|
hep-th math.AG
| null |
The moduli in a 4D N=1 heterotic compactification on an elliptic CY, as well
as in the dual F-theoretic compactification, break into "base" parameters which
are even (under the natural involution of the elliptic curves), and "fiber" or
twisting parameters; the latter include a continuous part which is odd, as well
as a discrete part. We interpret all the heterotic moduli in terms of
cohomology groups of the spectral covers, and identify them with the
corresponding F-theoretic moduli in a certain stable degeneration. The argument
is based on the comparison of three geometric objects: the spectral and cameral
covers and the ADE del Pezzo fibrations. For the continuous part of the
twisting moduli, this amounts to an isomorphism between certain abelian
varieties: the connected component of the heterotic Prym variety (a modified
Jacobian) and the F-theoretic intermediate Jacobian. The comparison of the
discrete part generalizes the matching of heterotic 5brane / F-theoretic 3brane
impurities.
|
[
{
"created": "Mon, 12 Jan 1998 20:28:50 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jan 1998 00:14:31 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Curio",
"Gottfried",
""
],
[
"Donagi",
"Ron Y.",
""
]
] |
The moduli in a 4D N=1 heterotic compactification on an elliptic CY, as well as in the dual F-theoretic compactification, break into "base" parameters which are even (under the natural involution of the elliptic curves), and "fiber" or twisting parameters; the latter include a continuous part which is odd, as well as a discrete part. We interpret all the heterotic moduli in terms of cohomology groups of the spectral covers, and identify them with the corresponding F-theoretic moduli in a certain stable degeneration. The argument is based on the comparison of three geometric objects: the spectral and cameral covers and the ADE del Pezzo fibrations. For the continuous part of the twisting moduli, this amounts to an isomorphism between certain abelian varieties: the connected component of the heterotic Prym variety (a modified Jacobian) and the F-theoretic intermediate Jacobian. The comparison of the discrete part generalizes the matching of heterotic 5brane / F-theoretic 3brane impurities.
| 10.003374
| 11.16493
| 12.71694
| 10.486582
| 10.279983
| 10.42067
| 9.505753
| 9.824626
| 9.594966
| 12.030406
| 9.902511
| 9.700116
| 10.602767
| 9.816143
| 9.589047
| 9.848465
| 9.895267
| 9.599036
| 9.747489
| 10.85659
| 9.709339
|
hep-th/0503196
|
Maria A. Lledo
|
L. Andrianopoli, S. Ferrara, M. A. Lledo, O. Macia
|
Integration of massive states as contractions of non linear
$\sigma$-models
|
AMS-LaTeX, 33 pages
|
J.Math.Phys. 46 (2005) 072307
|
10.1063/1.1960719
|
CERN-PH-TH/2005-049, FTUV-05/0325
|
hep-th
| null |
We consider the contraction of some non linear sigma models which appear in
effective supergravity theories. In particular we consider the contractions of
maximally symmetric spaces corresponding to N=1 and N=2 theories, as they
appear in certain low energy effective supergravity actions with mass
deformations.
The contraction procedure is shown to describe the integrating out of massive
modes in the presence of interactions, as it happens in many supergravity
models after spontaneous supersymmetry breaking.
|
[
{
"created": "Thu, 24 Mar 2005 23:13:04 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Andrianopoli",
"L.",
""
],
[
"Ferrara",
"S.",
""
],
[
"Lledo",
"M. A.",
""
],
[
"Macia",
"O.",
""
]
] |
We consider the contraction of some non linear sigma models which appear in effective supergravity theories. In particular we consider the contractions of maximally symmetric spaces corresponding to N=1 and N=2 theories, as they appear in certain low energy effective supergravity actions with mass deformations. The contraction procedure is shown to describe the integrating out of massive modes in the presence of interactions, as it happens in many supergravity models after spontaneous supersymmetry breaking.
| 11.591545
| 10.052214
| 11.20534
| 10.72455
| 10.065008
| 10.188757
| 9.541744
| 9.599623
| 10.706495
| 10.97681
| 10.0299
| 10.142605
| 10.721411
| 10.598745
| 9.877947
| 9.979194
| 9.927632
| 10.382071
| 10.051478
| 10.495365
| 10.097001
|
hep-th/9908006
|
Takuhiro Kitao
|
Takuhiro Kitao and Nobuyoshi Ohta
|
Spectrum of Maxwell-Chern-Simons Theory Realized on Type IIB Brane
|
30 pages, LaTex, four figures, typos corrected and final version
|
Nucl.Phys. B578 (2000) 215-238
|
10.1016/S0550-3213(99)00715-4
|
UT-Komaba/99-11 and OU-HET 323
|
hep-th
| null |
We study the 3D field theory on one D3-brane stretched between (r,s) and
(p,q)5-branes. The boundary conditions are determined from the analysis of NS5
and D5 charges of the two 5-branes. We carry out the mode expansions for all
the fields and identify the field theory as Maxwell-Chern-Simons theory. We
examine the mass spectrum to determine the conditions for unbroken
supersymmetry (SUSY) in this field theory and compare the results with those
from the brane configurations. The spectrum is found to be invariant under the
Type IIB SL(2,{\bf Z})-transformation. We also discuss the theory with matters
and its S-dual configuration. The result suggests that the equivalence under
S-duality may be valid if we include all the higher modes in the theories with
matters. We also find an interesting phenomenon that SUSY enhancement happens
in the field theory after dimensional reduction from 3D to 2D.
|
[
{
"created": "Mon, 2 Aug 1999 09:51:53 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Oct 1999 17:46:53 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Nov 1999 12:58:42 GMT",
"version": "v3"
},
{
"created": "Sat, 18 Dec 1999 05:02:31 GMT",
"version": "v4"
}
] |
2009-10-31
|
[
[
"Kitao",
"Takuhiro",
""
],
[
"Ohta",
"Nobuyoshi",
""
]
] |
We study the 3D field theory on one D3-brane stretched between (r,s) and (p,q)5-branes. The boundary conditions are determined from the analysis of NS5 and D5 charges of the two 5-branes. We carry out the mode expansions for all the fields and identify the field theory as Maxwell-Chern-Simons theory. We examine the mass spectrum to determine the conditions for unbroken supersymmetry (SUSY) in this field theory and compare the results with those from the brane configurations. The spectrum is found to be invariant under the Type IIB SL(2,{\bf Z})-transformation. We also discuss the theory with matters and its S-dual configuration. The result suggests that the equivalence under S-duality may be valid if we include all the higher modes in the theories with matters. We also find an interesting phenomenon that SUSY enhancement happens in the field theory after dimensional reduction from 3D to 2D.
| 9.212669
| 8.734939
| 9.429047
| 8.335484
| 9.628458
| 9.594487
| 9.263395
| 8.943912
| 8.728816
| 10.442979
| 8.406776
| 8.852941
| 9.178783
| 8.715568
| 8.602068
| 8.858089
| 8.869598
| 8.715885
| 8.868381
| 9.241911
| 8.699566
|
1205.5754
|
J\"urgen Struckmeier
|
J\"urgen Struckmeier and Hermine Reichau
|
General U(N) gauge transformations in the realm of covariant Hamiltonian
field theory
|
36 pages, Symposium on Exciting Physics: Quarks and gluons/atomic
nuclei/biological systems/networks, Makutsi Safari Farm, South Africa, 13-20
November 2011; Exciting Interdisciplinary Physics, Walter Greiner, Ed., FIAS
Interdisciplinary Science Series, Springer International Publishing
Switzerland, 2013
| null |
10.1007/978-3-319-00047-3_31
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A consistent, local coordinate formulation of covariant Hamiltonian field
theory is presented. While the covariant canonical field equations are
equivalent to the Euler-Lagrange field equations, the covariant canonical
transformation theory offers more general means for defining mappings that
preserve the action functional - and hence the form of the field equations -
than the usual Lagrangian description. Similar to the well-known canonical
transformation theory of point dynamics, the canonical transformation rules for
fields are derived from generating functions. As an interesting example, we
work out the generating function of type F_2 of a general local U(N) gauge
transformation and thus derive the most general form of a Hamiltonian density
that is form-invariant under local U(N) gauge transformations.
|
[
{
"created": "Thu, 24 May 2012 10:49:01 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Mar 2013 13:39:40 GMT",
"version": "v10"
},
{
"created": "Fri, 26 Apr 2013 16:28:45 GMT",
"version": "v11"
},
{
"created": "Fri, 3 May 2013 16:38:01 GMT",
"version": "v12"
},
{
"created": "Mon, 27 May 2013 12:39:57 GMT",
"version": "v13"
},
{
"created": "Fri, 12 Jul 2013 15:21:51 GMT",
"version": "v14"
},
{
"created": "Tue, 14 Jun 2016 11:49:09 GMT",
"version": "v15"
},
{
"created": "Wed, 9 May 2018 11:25:04 GMT",
"version": "v16"
},
{
"created": "Wed, 20 Jun 2012 10:15:20 GMT",
"version": "v2"
},
{
"created": "Thu, 21 Jun 2012 16:11:13 GMT",
"version": "v3"
},
{
"created": "Wed, 4 Jul 2012 09:07:00 GMT",
"version": "v4"
},
{
"created": "Mon, 9 Jul 2012 13:44:24 GMT",
"version": "v5"
},
{
"created": "Thu, 23 Aug 2012 08:29:35 GMT",
"version": "v6"
},
{
"created": "Mon, 27 Aug 2012 15:25:01 GMT",
"version": "v7"
},
{
"created": "Fri, 30 Nov 2012 10:07:15 GMT",
"version": "v8"
},
{
"created": "Tue, 22 Jan 2013 17:07:39 GMT",
"version": "v9"
}
] |
2018-05-10
|
[
[
"Struckmeier",
"Jürgen",
""
],
[
"Reichau",
"Hermine",
""
]
] |
A consistent, local coordinate formulation of covariant Hamiltonian field theory is presented. While the covariant canonical field equations are equivalent to the Euler-Lagrange field equations, the covariant canonical transformation theory offers more general means for defining mappings that preserve the action functional - and hence the form of the field equations - than the usual Lagrangian description. Similar to the well-known canonical transformation theory of point dynamics, the canonical transformation rules for fields are derived from generating functions. As an interesting example, we work out the generating function of type F_2 of a general local U(N) gauge transformation and thus derive the most general form of a Hamiltonian density that is form-invariant under local U(N) gauge transformations.
| 9.809178
| 10.660913
| 10.16546
| 10.059967
| 11.145821
| 10.542593
| 10.718081
| 9.79359
| 9.589607
| 11.471849
| 9.61925
| 9.529315
| 9.512612
| 9.116458
| 9.361815
| 9.462152
| 9.823833
| 9.22808
| 9.168746
| 9.613191
| 9.341751
|
hep-th/9302049
|
Martin Rocek
|
Amit Giveon and Martin Rocek
|
On the BRST Operator Structure of the N=2 String
|
22 pages, Latex, NSF-ITP-93-17, ITP-SB-93-09, RIP-148-93
|
Nucl.Phys. B400 (1993) 145-160
|
10.1016/0550-3213(93)90401-A
| null |
hep-th
| null |
The BRST operator cohomology of $N=2$ $2d$ supergravity coupled to matter is
presented. Descent equations for primary superfields of the matter sector are
derived. We find one copy of the cohomology at ghost number one, two
independent copies at ghost number two, and conjecture that there is a copy at
ghost number three. The $N=2$ string has a twisted $N=4$ superconformal
symmetry generated by the $N=2$ superstress tensor, the BRST supercurrent, the
antighost superfield, and the ghost number supercurrent.
|
[
{
"created": "Fri, 12 Feb 1993 21:04:09 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Giveon",
"Amit",
""
],
[
"Rocek",
"Martin",
""
]
] |
The BRST operator cohomology of $N=2$ $2d$ supergravity coupled to matter is presented. Descent equations for primary superfields of the matter sector are derived. We find one copy of the cohomology at ghost number one, two independent copies at ghost number two, and conjecture that there is a copy at ghost number three. The $N=2$ string has a twisted $N=4$ superconformal symmetry generated by the $N=2$ superstress tensor, the BRST supercurrent, the antighost superfield, and the ghost number supercurrent.
| 7.395676
| 6.78275
| 8.149627
| 6.802644
| 7.091672
| 7.19601
| 6.656326
| 6.792091
| 6.99849
| 8.07541
| 6.699342
| 7.031333
| 8.080237
| 7.061041
| 6.974852
| 7.070741
| 6.820434
| 6.8272
| 7.076573
| 7.527005
| 7.021451
|
0906.0089
|
Ariel Edery
|
A. Edery, N. Graham and I. MacDonald
|
3D scalar model as a 4D perfect conductor limit: dimensional reduction
and variational boundary conditions
|
14 pages, 2 figures
|
Phys.Rev.D79:125018,2009
|
10.1103/PhysRevD.79.125018
|
NSF-KITP-09-37
|
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Under dimensional reduction, a system in D spacetime dimensions will not
necessarily yield its D-1-dimensional analog version. Among other things, this
result will depend on the boundary conditions and the dimension D of the
system. We investigate this question for scalar and abelian gauge fields under
boundary conditions that obey the symmetries of the action. We apply our
findings to the Casimir piston, an ideal system for detecting boundary effects.
Our investigation is not limited to extra dimensions and we show that the
original piston scenario proposed in 2004, a toy model involving a scalar field
in 3D (2+1)dimensions, can be obtained via dimensional reduction from a more
realistic 4D electromagnetic (EM) system. We show that for perfect conductor
conditions, a D-dimensional EM field reduces to a D-1 scalar field and not its
lower-dimensional version. For Dirichlet boundary conditions, no theory is
recovered under dimensional reduction and the Casimir pressure goes to zero in
any dimension. This "zero Dirichlet" result is useful for understanding the EM
case. We then identify two special systems where the lower-dimensional version
is recovered in any dimension: systems with perfect magnetic conductor (PMC)
and Neumann boundary conditions. We show that these two boundary conditions can
be obtained from a variational procedure in which the action vanishes outside
the bounded region. The fields are free to vary on the surface and have zero
modes which survive after dimensional reduction.
|
[
{
"created": "Sat, 30 May 2009 15:19:23 GMT",
"version": "v1"
}
] |
2009-06-24
|
[
[
"Edery",
"A.",
""
],
[
"Graham",
"N.",
""
],
[
"MacDonald",
"I.",
""
]
] |
Under dimensional reduction, a system in D spacetime dimensions will not necessarily yield its D-1-dimensional analog version. Among other things, this result will depend on the boundary conditions and the dimension D of the system. We investigate this question for scalar and abelian gauge fields under boundary conditions that obey the symmetries of the action. We apply our findings to the Casimir piston, an ideal system for detecting boundary effects. Our investigation is not limited to extra dimensions and we show that the original piston scenario proposed in 2004, a toy model involving a scalar field in 3D (2+1)dimensions, can be obtained via dimensional reduction from a more realistic 4D electromagnetic (EM) system. We show that for perfect conductor conditions, a D-dimensional EM field reduces to a D-1 scalar field and not its lower-dimensional version. For Dirichlet boundary conditions, no theory is recovered under dimensional reduction and the Casimir pressure goes to zero in any dimension. This "zero Dirichlet" result is useful for understanding the EM case. We then identify two special systems where the lower-dimensional version is recovered in any dimension: systems with perfect magnetic conductor (PMC) and Neumann boundary conditions. We show that these two boundary conditions can be obtained from a variational procedure in which the action vanishes outside the bounded region. The fields are free to vary on the surface and have zero modes which survive after dimensional reduction.
| 11.43475
| 11.942922
| 11.627431
| 11.236333
| 11.547
| 11.495102
| 12.120657
| 11.659858
| 11.150424
| 12.961611
| 11.542261
| 10.978407
| 10.700336
| 10.500286
| 10.742938
| 10.999478
| 11.016049
| 10.772881
| 10.800688
| 11.272552
| 10.830969
|
0907.1170
|
Kazuo Ghoroku
|
Kazuo Ghoroku, Akihiro Nakamura and Fumihiko Toyoda
|
Stability of D brane Anti D brane Systems in Confining Gauge Theories
|
19 pages, 7 figures
|
Eur.Phys.J.C71:1522,2011
|
10.1140/epjc/s10052-010-1522-0
|
FIT-HE-09-01
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the stability of a special form of D brane embedding which is
regarded as a bound state of D$_n$ and anti-D$_n$-brane embedded in a 10D
supergravity background which is dual to a confining gauge theory. For D5
branes with $U(1)$ flux, their bound state configuration can be regarded as the
baryonium vertex. For D branes of $n=6$ and 8 without the $U(1)$ flux, their
bound states have been used to introduce flavor quarks in the dual
supersymmetric Yang-Mills theory. In any case, it would be important to assure
that they are free from tachyon instability. For all these cases, we could show
their stability with respect to this point.
|
[
{
"created": "Tue, 7 Jul 2009 09:26:20 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Sep 2009 01:06:38 GMT",
"version": "v2"
},
{
"created": "Wed, 14 Oct 2009 01:13:11 GMT",
"version": "v3"
},
{
"created": "Thu, 15 Oct 2009 05:20:03 GMT",
"version": "v4"
},
{
"created": "Mon, 7 Dec 2009 00:48:43 GMT",
"version": "v5"
},
{
"created": "Fri, 23 Apr 2010 05:44:23 GMT",
"version": "v6"
}
] |
2011-03-03
|
[
[
"Ghoroku",
"Kazuo",
""
],
[
"Nakamura",
"Akihiro",
""
],
[
"Toyoda",
"Fumihiko",
""
]
] |
We study the stability of a special form of D brane embedding which is regarded as a bound state of D$_n$ and anti-D$_n$-brane embedded in a 10D supergravity background which is dual to a confining gauge theory. For D5 branes with $U(1)$ flux, their bound state configuration can be regarded as the baryonium vertex. For D branes of $n=6$ and 8 without the $U(1)$ flux, their bound states have been used to introduce flavor quarks in the dual supersymmetric Yang-Mills theory. In any case, it would be important to assure that they are free from tachyon instability. For all these cases, we could show their stability with respect to this point.
| 10.53615
| 9.259645
| 10.415749
| 9.174064
| 8.904144
| 9.522899
| 9.106224
| 9.398941
| 9.614414
| 10.677028
| 8.794916
| 9.038741
| 9.716187
| 9.392323
| 9.42906
| 9.236906
| 9.629071
| 8.993413
| 9.233386
| 9.433199
| 9.177783
|
hep-th/0405218
|
Benedicte Ponsot
|
Benedicte Ponsot
|
Form factors in the SS model and its RSOS restrictions
|
16 pages, 5 tables; v2:misprints corrected, clearer notations,
discussion extended; v4: formula for the SS trace operator corrected,
additional numerical checks on the central charge, proposal for p-function of
exponential fields now coherent with the trace, submitted to NPB. v5:table 1
added, references added, diverse comments including Comment on the energy of
the vacuum added
| null | null | null |
hep-th cond-mat.other
| null |
New integral representations for form factors in the two parametric SS model
are proposed. Some form factors in the parafermionic sine-Gordon model and in
an integrable perturbation of SU(2) coset conformal field theories are
straightforwardly obtained by different quantum group restrictions. Numerical
checks on the value of the central charge are performed.
|
[
{
"created": "Tue, 25 May 2004 09:12:05 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jun 2004 02:14:38 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Jun 2004 08:25:42 GMT",
"version": "v3"
},
{
"created": "Thu, 10 Jun 2004 04:20:15 GMT",
"version": "v4"
},
{
"created": "Fri, 8 Oct 2004 00:44:36 GMT",
"version": "v5"
}
] |
2007-05-23
|
[
[
"Ponsot",
"Benedicte",
""
]
] |
New integral representations for form factors in the two parametric SS model are proposed. Some form factors in the parafermionic sine-Gordon model and in an integrable perturbation of SU(2) coset conformal field theories are straightforwardly obtained by different quantum group restrictions. Numerical checks on the value of the central charge are performed.
| 13.515718
| 9.641696
| 18.75559
| 10.0027
| 9.621119
| 9.218542
| 8.922273
| 11.358298
| 9.560503
| 19.884226
| 10.244444
| 10.81313
| 15.279287
| 11.662816
| 11.037371
| 10.339853
| 10.25174
| 11.214668
| 11.533266
| 15.686215
| 11.379519
|
1102.0478
|
Jurgen Baacke
|
Jurgen Baacke and Nina Kevlishvili
|
Erratum: One-loop corrections to the string tension of the vortex in the
Abelian Higgs model
|
2 pages, 1 figure
|
Phys.Rev.D78:085008,2008; Erratum-ibid.D82:129905,2010
|
10.1103/PhysRevD.82.129905
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We correct two errors in our previous computation of one-loop corrections to
the vortex string tension: (i) the contribution of the longitudinal and
timelike modes of the gauge fields were forgotten and are included now; (ii) a
trivial error in the numerical code has led to considerable errors in the
subtracted integrals. We here present the corrected results.
|
[
{
"created": "Wed, 2 Feb 2011 16:35:17 GMT",
"version": "v1"
}
] |
2011-11-10
|
[
[
"Baacke",
"Jurgen",
""
],
[
"Kevlishvili",
"Nina",
""
]
] |
We correct two errors in our previous computation of one-loop corrections to the vortex string tension: (i) the contribution of the longitudinal and timelike modes of the gauge fields were forgotten and are included now; (ii) a trivial error in the numerical code has led to considerable errors in the subtracted integrals. We here present the corrected results.
| 12.478071
| 14.450749
| 12.057648
| 11.809032
| 13.122139
| 12.325953
| 13.954308
| 11.895797
| 11.724405
| 13.675333
| 11.649549
| 11.092086
| 11.411573
| 10.900379
| 10.931855
| 11.322953
| 11.552483
| 11.749652
| 10.720588
| 11.718704
| 11.166509
|
hep-th/9903108
|
Reza Abbaspur
|
Reza Abbaspur
|
Branes at Angles from DBI Action
|
Latex file, 19 pages, 1 ps figure, the section on the non-marginal
configurations of parallel branes has been modified and some other references
have been included
| null | null |
IPM/P-99/012
|
hep-th
| null |
In this paper we investigate about several configurations of two intersecting
branes at arbitrary angles. We choose the viewpoint of a brane source and a
brane probe and use the low-energy dynamics of p-branes. For each p-brane this
dynamics is governed by a generic DBI action including a WZ term, which couples
to the SUGRA background of the other brane. The analysis naturally reveals two
types of configurations: the ``marginal'' and the ``non-marginal'' ones. We
specify possible configurations for a pair of similar or non-similar branes in
either of these two categories. In particular, for two similar branes at
angles, this analysis reveals that all the marginal configurations are
specified by SU(2) angles while the non-marginal configurations are specified
by $Sp(2)$ angles. On the other hand, we find that no other configuration of
two intersecting branes at non-trivial angles can be constructed out of flat
p-branes. So in particular, two non-similar branes can only be found in an
orthogonal configuration. In this case the intersection rules for either of the
marginal or non-marginal configurations are derived, which thereby provide
interpretations for the known results from supergravity.
|
[
{
"created": "Thu, 11 Mar 1999 19:10:11 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Apr 2000 17:02:42 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Abbaspur",
"Reza",
""
]
] |
In this paper we investigate about several configurations of two intersecting branes at arbitrary angles. We choose the viewpoint of a brane source and a brane probe and use the low-energy dynamics of p-branes. For each p-brane this dynamics is governed by a generic DBI action including a WZ term, which couples to the SUGRA background of the other brane. The analysis naturally reveals two types of configurations: the ``marginal'' and the ``non-marginal'' ones. We specify possible configurations for a pair of similar or non-similar branes in either of these two categories. In particular, for two similar branes at angles, this analysis reveals that all the marginal configurations are specified by SU(2) angles while the non-marginal configurations are specified by $Sp(2)$ angles. On the other hand, we find that no other configuration of two intersecting branes at non-trivial angles can be constructed out of flat p-branes. So in particular, two non-similar branes can only be found in an orthogonal configuration. In this case the intersection rules for either of the marginal or non-marginal configurations are derived, which thereby provide interpretations for the known results from supergravity.
| 9.251451
| 9.024721
| 10.266947
| 8.929866
| 9.167019
| 9.355993
| 9.15976
| 9.1611
| 9.127661
| 10.386923
| 8.969218
| 8.832583
| 9.232091
| 8.826594
| 8.805589
| 8.931263
| 8.971133
| 8.68556
| 8.968243
| 9.537939
| 8.888314
|
1605.04921
|
Gustavo Brito
|
Antonio Accioly, Jos\'e Helay\"el-Neto, Gilson Correia, Gustavo Brito,
Jos\'e de Almeida, Wallace Herdy
|
Interparticle potential energy for D-dimensional electromagnetic models
from the corresponding scalar ones
| null |
Phys. Rev. D 93, 105042 (2016)
|
10.1103/PhysRevD.93.105042
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using a method based on the generating functional plus a kind of
"correspondence principle" --- which acts as a bridge between the
electromagnetic and scalar fields --- it is shown that the interparticle
potential energy concerning a given $D$-dimensional electromagnetic model can
be obtained in a simple way from that related to the corresponding scalar
system. The $D$-dimensional electromagnetic potential for a general model
containing higher derivatives is then found from the corresponding scalar one
and the behavior of the former is analyzed at large as well as small distances.
In addition, we investigate the presence of ghosts in the four-dimensional
version of the potential associated with the model above and analyze the reason
why the Coulomb singularity is absent from this system. The no-go theorem by
Ostrogradski is demystified as well.
|
[
{
"created": "Mon, 16 May 2016 20:01:17 GMT",
"version": "v1"
}
] |
2016-06-22
|
[
[
"Accioly",
"Antonio",
""
],
[
"Helayël-Neto",
"José",
""
],
[
"Correia",
"Gilson",
""
],
[
"Brito",
"Gustavo",
""
],
[
"de Almeida",
"José",
""
],
[
"Herdy",
"Wallace",
""
]
] |
Using a method based on the generating functional plus a kind of "correspondence principle" --- which acts as a bridge between the electromagnetic and scalar fields --- it is shown that the interparticle potential energy concerning a given $D$-dimensional electromagnetic model can be obtained in a simple way from that related to the corresponding scalar system. The $D$-dimensional electromagnetic potential for a general model containing higher derivatives is then found from the corresponding scalar one and the behavior of the former is analyzed at large as well as small distances. In addition, we investigate the presence of ghosts in the four-dimensional version of the potential associated with the model above and analyze the reason why the Coulomb singularity is absent from this system. The no-go theorem by Ostrogradski is demystified as well.
| 13.088304
| 12.601439
| 12.873697
| 12.409984
| 12.320157
| 12.326614
| 12.366487
| 12.322671
| 12.602069
| 12.690649
| 12.017202
| 12.091615
| 12.391881
| 12.053897
| 11.811214
| 11.854546
| 11.88148
| 11.649693
| 12.00342
| 12.057873
| 11.911147
|
1410.4833
|
Gustavo Monteiro
|
Gustavo M. Monteiro, Alexander G. Abanov and V. P. Nair
|
Hydrodynamics with gauge anomaly: Variational principle and Hamiltonian
formulation
|
8 pages, no figures
|
Phys. Rev. D 91, 125033 (2015)
|
10.1103/PhysRevD.91.125033
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a variational principle for relativistic hydrodynamics with
gauge-anomaly terms for a fluid coupled to an Abelian background gauge field.
For this we utilize the Clebsch parametrization of the velocity field. We also
set up the Hamiltonian formulation and the canonical framework for the theory.
While the equations of motion only involve the density and velocity fields,
i.e., the Clebsch potentials only appear in the combination which is the
velocity field, the generators of symmetry transformations (including the
Hamiltonian) depend explicitly on one of the Clebsch potentials, if the
background field is time-dependent. For the special case of time-independent
background fields, this feature is absent.
|
[
{
"created": "Fri, 17 Oct 2014 19:45:34 GMT",
"version": "v1"
}
] |
2015-10-06
|
[
[
"Monteiro",
"Gustavo M.",
""
],
[
"Abanov",
"Alexander G.",
""
],
[
"Nair",
"V. P.",
""
]
] |
We present a variational principle for relativistic hydrodynamics with gauge-anomaly terms for a fluid coupled to an Abelian background gauge field. For this we utilize the Clebsch parametrization of the velocity field. We also set up the Hamiltonian formulation and the canonical framework for the theory. While the equations of motion only involve the density and velocity fields, i.e., the Clebsch potentials only appear in the combination which is the velocity field, the generators of symmetry transformations (including the Hamiltonian) depend explicitly on one of the Clebsch potentials, if the background field is time-dependent. For the special case of time-independent background fields, this feature is absent.
| 8.075429
| 8.463731
| 8.095334
| 8.434757
| 8.219385
| 9.018467
| 8.076283
| 8.026246
| 8.428105
| 10.313234
| 7.989545
| 7.650929
| 8.023791
| 7.794463
| 8.122574
| 7.864229
| 8.079126
| 7.795342
| 8.118619
| 8.664325
| 7.791375
|
hep-th/0011278
|
Pietro Antonio Grassi
|
P.A. Grassi (New York Univ.) and P. van Nieuwenhuizen (YITP, Stony
Brook)
|
No van Dam-Veltman-Zakharov Discontinuity for Supergravity in AdS Space
|
November 2000, 7pp, misprints and typos corrected
|
Phys.Lett.B499:174-178,2001
|
10.1016/S0370-2693(01)00023-5
|
YITP-00-78, NYU-TH/00/11/03
|
hep-th
| null |
Adding explicit mass terms for the spin 2 and spin 3/2 field of N=1 anti-de
Sitter supergravity, the limit M --> 0 for these mass terms is smooth: there is
no van Dam-Veltman-Zakharov mass discontinuity in the propagators when the
cosmological constant is non-vanishing.
|
[
{
"created": "Wed, 29 Nov 2000 20:55:54 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Dec 2000 23:34:26 GMT",
"version": "v2"
}
] |
2011-07-19
|
[
[
"Grassi",
"P. A.",
"",
"New York Univ."
],
[
"van Nieuwenhuizen",
"P.",
"",
"YITP, Stony\n Brook"
]
] |
Adding explicit mass terms for the spin 2 and spin 3/2 field of N=1 anti-de Sitter supergravity, the limit M --> 0 for these mass terms is smooth: there is no van Dam-Veltman-Zakharov mass discontinuity in the propagators when the cosmological constant is non-vanishing.
| 11.896716
| 9.7545
| 10.018699
| 8.790606
| 10.202539
| 9.432046
| 7.81634
| 7.901514
| 9.286415
| 10.604078
| 9.16691
| 8.873912
| 8.726634
| 8.17286
| 8.772322
| 8.904212
| 8.9223
| 8.32697
| 8.787842
| 10.31285
| 8.816798
|
1511.02971
|
Lars Brink
|
Lars Brink
|
Maximally Supersymmetric Yang-Mills Theory. The Story of N = 4
Yang-Mills Theory
|
Talk given at "60 years of Yang-Mills Theory", Singapore May 25-28,
2015. 15 pages
| null |
10.1142/S0217751X16300027
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This is a personally colored account of the history behind N=4 Yang-Mills
Theory.
|
[
{
"created": "Tue, 10 Nov 2015 02:35:43 GMT",
"version": "v1"
}
] |
2016-01-20
|
[
[
"Brink",
"Lars",
""
]
] |
This is a personally colored account of the history behind N=4 Yang-Mills Theory.
| 73.658844
| 20.716549
| 26.944607
| 19.952864
| 24.100414
| 21.225863
| 20.071436
| 21.686407
| 17.958963
| 22.93631
| 21.539597
| 22.24157
| 27.503372
| 22.392786
| 22.647758
| 21.227629
| 21.295961
| 23.986311
| 20.583
| 26.955904
| 25.099476
|
hep-th/9611067
|
Peter Bouwknegt
|
Peter Bouwknegt, Jim McCarthy and Peter van Nieuwenhuizen
|
Fusing the coordinates of quantum superspace
|
9 pages, TeX with amssym.def, two references added
|
Phys.Lett.B394:82-86,1997
|
10.1016/S0370-2693(96)01679-6
|
ADP-96-35/M46, ITP-SB-96-60
|
hep-th
| null |
We introduce the notion of a fused quantum superplane by allowing for terms
$\theta\theta\sim x$ in the defining relations. We develop the differential
calculus for a large class of fused quantum superplanes related to particular
solutions of the Yang-Baxter equation.
|
[
{
"created": "Mon, 11 Nov 1996 00:22:48 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Mar 1997 02:41:01 GMT",
"version": "v2"
}
] |
2009-09-11
|
[
[
"Bouwknegt",
"Peter",
""
],
[
"McCarthy",
"Jim",
""
],
[
"van Nieuwenhuizen",
"Peter",
""
]
] |
We introduce the notion of a fused quantum superplane by allowing for terms $\theta\theta\sim x$ in the defining relations. We develop the differential calculus for a large class of fused quantum superplanes related to particular solutions of the Yang-Baxter equation.
| 16.283003
| 15.869946
| 16.412542
| 13.909977
| 13.956167
| 13.970655
| 13.855749
| 13.547664
| 15.084808
| 17.333344
| 13.296735
| 16.062902
| 16.282738
| 15.483588
| 14.805902
| 15.143145
| 14.959283
| 14.833207
| 15.704252
| 16.127575
| 13.71422
|
2212.02994
|
Meng-Sen Ma
|
Li-Hua Wang, Yun He, Meng-Sen Ma
|
Fractional phase transitions of RN-AdS black hole at Davies points
|
13 pages, 4 figures, to be published in Chinese Physics C
| null |
10.1088/1674-1137/aca957
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We perform a study of phase transitions of RN-AdS black hole at its Davies
points according to a generalized Ehrenfest classification of phase transition
established on the basis of fractional derivatives. Davies points label the
positions where heat capacity diverges. According to the usual Ehrenfest
classification, second-order phase transitions occur there. For RN-AdS black
hole, the Davies points can be classified into two types. The first type
corresponds to the extreme values of temperature and the second type
corresponds to the infection point(namely the critical point) of temperature.
Employing the generalized Ehrenfest classification, we find that the orders of
phase transition at the two types of Davies points are different. It is
$3/2$-order for the first type and $4/3$-order for the second type. Thus this
finer-grained classification can discriminate phase transitions that are
supposed to be in the same category, which may provide some new insights toward
a better understanding of black hole thermodynamics.
|
[
{
"created": "Tue, 6 Dec 2022 14:11:52 GMT",
"version": "v1"
}
] |
2023-02-15
|
[
[
"Wang",
"Li-Hua",
""
],
[
"He",
"Yun",
""
],
[
"Ma",
"Meng-Sen",
""
]
] |
We perform a study of phase transitions of RN-AdS black hole at its Davies points according to a generalized Ehrenfest classification of phase transition established on the basis of fractional derivatives. Davies points label the positions where heat capacity diverges. According to the usual Ehrenfest classification, second-order phase transitions occur there. For RN-AdS black hole, the Davies points can be classified into two types. The first type corresponds to the extreme values of temperature and the second type corresponds to the infection point(namely the critical point) of temperature. Employing the generalized Ehrenfest classification, we find that the orders of phase transition at the two types of Davies points are different. It is $3/2$-order for the first type and $4/3$-order for the second type. Thus this finer-grained classification can discriminate phase transitions that are supposed to be in the same category, which may provide some new insights toward a better understanding of black hole thermodynamics.
| 8.115658
| 8.089758
| 7.569496
| 7.44857
| 7.536218
| 7.615045
| 8.042912
| 7.449012
| 7.957158
| 8.012148
| 7.876291
| 7.557302
| 7.761118
| 7.540132
| 7.462636
| 7.25711
| 7.549714
| 7.367338
| 7.768623
| 7.664167
| 7.554048
|
hep-th/0007126
|
Michael Gutperle
|
Michael Gutperle (Harvard University)
|
Non-BPS D-branes and enhanced symmetry in an asymmetric orbifold
|
19 pages, harvmac (b), no figures, v2: reference added, v3: reference
added, version to appear in JHEP
|
JHEP 0008:036,2000
|
10.1088/1126-6708/2000/08/036
|
HUTP-00/A026
|
hep-th
| null |
In this paper properties of D branes in a nine dimensional asymmetric
orbifold are discussed, using a $(-1)^{F_L}\sigma_{1/2}$ projection, where
$F_L$ is the leftmoving space-time fermion number and $\sigma_{1/2}$ is a
freely acting shift of order two. There are two types of non BPS D branes,
which are stable at $R>2$ and $R<2$ respectively. At R=2 there is a
perturbative enhancement of gauge symmetry and the two types of branes are
related by a global bulk symmetry transformation. At this point in the moduli
space the associated boundary states are constructed using a free fermion
representation of the theory. Some aspects of the enhancement of gauge symmetry
in the S-dual type $\tilde I$ theory are discussed.
|
[
{
"created": "Mon, 17 Jul 2000 02:38:02 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Jul 2000 13:24:56 GMT",
"version": "v2"
},
{
"created": "Fri, 25 Aug 2000 18:32:12 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Gutperle",
"Michael",
"",
"Harvard University"
]
] |
In this paper properties of D branes in a nine dimensional asymmetric orbifold are discussed, using a $(-1)^{F_L}\sigma_{1/2}$ projection, where $F_L$ is the leftmoving space-time fermion number and $\sigma_{1/2}$ is a freely acting shift of order two. There are two types of non BPS D branes, which are stable at $R>2$ and $R<2$ respectively. At R=2 there is a perturbative enhancement of gauge symmetry and the two types of branes are related by a global bulk symmetry transformation. At this point in the moduli space the associated boundary states are constructed using a free fermion representation of the theory. Some aspects of the enhancement of gauge symmetry in the S-dual type $\tilde I$ theory are discussed.
| 7.418701
| 7.327681
| 8.894466
| 7.12152
| 7.315685
| 7.243487
| 7.351627
| 7.501038
| 7.278515
| 9.984186
| 7.178754
| 7.117446
| 7.788106
| 7.106555
| 7.192893
| 7.242149
| 7.540483
| 7.067421
| 7.255251
| 7.497036
| 7.039483
|
hep-th/9904053
|
Hani Kaldass
|
A. Bohm, H. Kaldass
|
Relativistic Partial Wave Analysis Using the Velocity Basis of the
Poincare Group
|
14 pages; revtex
|
Phys.Rev.A60:4606-4615,1999
|
10.1103/PhysRevA.60.4606
| null |
hep-th math-ph math.MP quant-ph
| null |
The velocity basis of the Poincare group is used in the direct product space
of two irreducible unitary representations of the Poincare group. The velocity
basis with total angular momentum j will be used for the definition of
relativistic Gamow vectors.
|
[
{
"created": "Wed, 7 Apr 1999 22:09:57 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Bohm",
"A.",
""
],
[
"Kaldass",
"H.",
""
]
] |
The velocity basis of the Poincare group is used in the direct product space of two irreducible unitary representations of the Poincare group. The velocity basis with total angular momentum j will be used for the definition of relativistic Gamow vectors.
| 16.436607
| 15.202688
| 14.091576
| 14.161462
| 14.889221
| 15.931034
| 15.29477
| 15.592109
| 13.681578
| 17.352678
| 14.540218
| 14.517232
| 14.478726
| 13.701056
| 14.897079
| 14.681082
| 14.210403
| 15.341517
| 14.28301
| 14.202779
| 14.020043
|
hep-th/0004139
|
Mccartor
|
Gary McCartor
|
Regulating the $P^+ = 0$ Singularity
|
6 pages and uses sprocl.sty
| null | null |
SMUHEP/00-06
|
hep-th
| null |
I shall discuss the regulation of the $P^+ = 0$ singularity and give some
examples. Regulating the singularity induces new operators into the theory.
This process seems rather different for the case of ultraviolet singularities
than for the case of infrared singularities.
|
[
{
"created": "Wed, 19 Apr 2000 16:16:29 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"McCartor",
"Gary",
""
]
] |
I shall discuss the regulation of the $P^+ = 0$ singularity and give some examples. Regulating the singularity induces new operators into the theory. This process seems rather different for the case of ultraviolet singularities than for the case of infrared singularities.
| 17.597597
| 13.104712
| 13.568555
| 14.424645
| 14.516517
| 16.239223
| 14.898479
| 15.056976
| 13.457062
| 15.510779
| 15.441478
| 13.655588
| 14.280062
| 14.090622
| 13.331534
| 13.778171
| 14.43733
| 13.400523
| 13.960084
| 14.665964
| 14.070856
|
1705.08732
|
Amir H. Fatollahi
|
Amir H. Fatollahi
|
A Lattice Inspired Model for Monopole Dynamics
|
v1: 12 pages, 5 figs. v2: title is changed, and also presentation!
| null | null | null |
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The site-reduction of U(1) lattice gauge theory along the spatial directions
is used to model the monopole dynamics. The reduced theory is that of the
angle-valued coordinates on the discrete worldline. Below the critical coupling
$g_{c}=1.125$ and temperature $T_c=0.335$ the model exhibits a first order
phase transition. It is argued that the phase structure matches with the
proposed role for magnetic monopoles in the confinement mechanism based on the
dual Meissner effect.
|
[
{
"created": "Tue, 23 May 2017 15:01:23 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Jul 2021 05:54:28 GMT",
"version": "v2"
}
] |
2021-07-27
|
[
[
"Fatollahi",
"Amir H.",
""
]
] |
The site-reduction of U(1) lattice gauge theory along the spatial directions is used to model the monopole dynamics. The reduced theory is that of the angle-valued coordinates on the discrete worldline. Below the critical coupling $g_{c}=1.125$ and temperature $T_c=0.335$ the model exhibits a first order phase transition. It is argued that the phase structure matches with the proposed role for magnetic monopoles in the confinement mechanism based on the dual Meissner effect.
| 15.625075
| 15.291372
| 14.345358
| 13.423477
| 13.386731
| 14.699669
| 15.40443
| 13.735568
| 13.275467
| 15.912031
| 14.965433
| 12.982921
| 13.559031
| 13.436319
| 13.749982
| 13.415072
| 13.604398
| 13.360723
| 13.511538
| 13.877872
| 13.580222
|
0812.1759
|
Papantonopoulos Eleftherios
|
Eleftherios Papantonopoulos and Petros Skamagoulis
|
Hawking Radiation via Gravitational Anomalies in Non-spherical
Topologies
|
25 pages, no figures, version to be published in Phys. Rev. D
|
Phys.Rev.D79:084022,2009
|
10.1103/PhysRevD.79.084022
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
We study the method of calculating the Hawking radiation via gravitational
anomalies in gravitational backgrounds of constant negative curvature. We apply
the method to topological black holes and also to topological black holes
conformally coupled to a scalar field.
|
[
{
"created": "Tue, 9 Dec 2008 18:08:56 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Dec 2008 19:10:47 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Mar 2009 16:44:39 GMT",
"version": "v3"
}
] |
2009-07-24
|
[
[
"Papantonopoulos",
"Eleftherios",
""
],
[
"Skamagoulis",
"Petros",
""
]
] |
We study the method of calculating the Hawking radiation via gravitational anomalies in gravitational backgrounds of constant negative curvature. We apply the method to topological black holes and also to topological black holes conformally coupled to a scalar field.
| 10.627313
| 8.43023
| 10.962478
| 8.821894
| 8.830656
| 10.05266
| 9.520432
| 9.305365
| 8.505683
| 9.471683
| 8.66606
| 10.201841
| 10.007451
| 9.459304
| 9.878582
| 9.768218
| 10.192464
| 10.083008
| 9.646573
| 10.023082
| 9.303188
|
1406.6043
|
Robert A. Jefferson
|
Ben Freivogel, Robert A. Jefferson, Laurens Kabir, and I-Sheng Yang
|
Geometry of the Infalling Causal Patch
|
21 pages, 7 figures. Minor edits/reformatting. Consistent with
version published in PRD
|
Phys. Rev. D 91, 044036 (2015)
|
10.1103/PhysRevD.91.044036
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The firewall paradox states that an observer falling into an old black hole
must see a violation of unitarity, locality, or the equivalence principle.
Motivated by this remarkable conflict, we analyze the causal structure of black
hole spacetimes in order to determine whether all the necessary ingredients for
the paradox fit within a single observer's causal patch. We particularly focus
on the question of whether the interior partner modes of the outgoing Hawking
quanta can, in principle, be measured by an infalling observer. Since the
relevant modes are spread over the entire sphere, we answer a simple
geometrical question: can any observer see an entire sphere behind the horizon?
We find that for all static black holes in 3+1 and higher dimensions, with any
value of the cosmological constant, no single observer can see both the early
Hawking radiation and the interior modes. We present a detailed description of
the causal patch geometry of the Schwarzschild black hole in 3+1 dimensions,
where an infalling observer comes closest to being able to measure the relevant
modes.
|
[
{
"created": "Mon, 23 Jun 2014 19:50:51 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Mar 2015 20:17:29 GMT",
"version": "v2"
}
] |
2015-03-19
|
[
[
"Freivogel",
"Ben",
""
],
[
"Jefferson",
"Robert A.",
""
],
[
"Kabir",
"Laurens",
""
],
[
"Yang",
"I-Sheng",
""
]
] |
The firewall paradox states that an observer falling into an old black hole must see a violation of unitarity, locality, or the equivalence principle. Motivated by this remarkable conflict, we analyze the causal structure of black hole spacetimes in order to determine whether all the necessary ingredients for the paradox fit within a single observer's causal patch. We particularly focus on the question of whether the interior partner modes of the outgoing Hawking quanta can, in principle, be measured by an infalling observer. Since the relevant modes are spread over the entire sphere, we answer a simple geometrical question: can any observer see an entire sphere behind the horizon? We find that for all static black holes in 3+1 and higher dimensions, with any value of the cosmological constant, no single observer can see both the early Hawking radiation and the interior modes. We present a detailed description of the causal patch geometry of the Schwarzschild black hole in 3+1 dimensions, where an infalling observer comes closest to being able to measure the relevant modes.
| 8.614254
| 7.382451
| 8.073377
| 6.862613
| 7.457777
| 7.666323
| 7.243812
| 7.083925
| 7.080418
| 8.490704
| 6.868984
| 6.879466
| 7.337494
| 7.036618
| 6.966395
| 6.769074
| 6.859325
| 7.046878
| 7.11005
| 7.077727
| 6.950044
|
hep-th/0109041
|
Ramzi R. Khuri
|
Ramzi R. Khuri
|
Fundamental Strings and Cosmology
|
7 pages, harvmac, reference added
|
Phys.Lett.B520:353-356,2001
|
10.1016/S0370-2693(01)01137-6
|
BCCUNY-HEP/01-02
|
hep-th astro-ph gr-qc
| null |
We show that the velocity-dependent forces between parallel fundamental
strings moving apart in a D-dimensional spacetime imply an expanding universe
in (D-1)-dimensional spacetime.
|
[
{
"created": "Wed, 5 Sep 2001 21:31:40 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Nov 2001 22:08:32 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Khuri",
"Ramzi R.",
""
]
] |
We show that the velocity-dependent forces between parallel fundamental strings moving apart in a D-dimensional spacetime imply an expanding universe in (D-1)-dimensional spacetime.
| 26.216648
| 13.561384
| 19.400839
| 14.16489
| 12.547067
| 10.628325
| 11.214937
| 13.194599
| 14.78913
| 24.752954
| 12.513391
| 18.328463
| 20.244011
| 18.908688
| 18.560692
| 18.076975
| 16.552975
| 20.877857
| 18.450628
| 20.937815
| 18.352022
|
1505.07871
|
Diego Regalado
|
Dagoberto Escobar, Aitor Landete, Fernando Marchesano, Diego Regalado
|
Large field inflation from D-branes
|
5 pages, 3 figures. Typos corrected and plots updated
|
Phys. Rev. D 93, 081301 (2016)
|
10.1103/PhysRevD.93.081301
|
IFT-UAM/CSIC-15-056, MPP-2015-109
|
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose new large field inflation scenarios built on the framework of
F-term axion monodromy. Our setup is based on string compactifications where
D-branes create potentials for closed string axions via F-terms. Because the
source of the axion potential is different from the standard sources of moduli
stabilisation, it is possible to lower the inflaton mass as compared to other
massive scalars. We discuss a particular class of models based on type IIA flux
compactifications with D6-branes. In the small field regime they describe
supergravity models of quadratic chaotic inflation with a stabiliser field. In
the large field regime the inflaton potential displays a flattening effect due
to Planck suppressed corrections, allowing to easily fit the cosmological
parameters of the model within current experimental bounds.
|
[
{
"created": "Thu, 28 May 2015 21:52:54 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Dec 2015 16:47:17 GMT",
"version": "v2"
}
] |
2016-04-13
|
[
[
"Escobar",
"Dagoberto",
""
],
[
"Landete",
"Aitor",
""
],
[
"Marchesano",
"Fernando",
""
],
[
"Regalado",
"Diego",
""
]
] |
We propose new large field inflation scenarios built on the framework of F-term axion monodromy. Our setup is based on string compactifications where D-branes create potentials for closed string axions via F-terms. Because the source of the axion potential is different from the standard sources of moduli stabilisation, it is possible to lower the inflaton mass as compared to other massive scalars. We discuss a particular class of models based on type IIA flux compactifications with D6-branes. In the small field regime they describe supergravity models of quadratic chaotic inflation with a stabiliser field. In the large field regime the inflaton potential displays a flattening effect due to Planck suppressed corrections, allowing to easily fit the cosmological parameters of the model within current experimental bounds.
| 8.90279
| 8.367048
| 10.230458
| 8.395867
| 8.52183
| 8.495948
| 8.111812
| 7.799153
| 8.616746
| 10.268403
| 8.242687
| 8.445938
| 8.851089
| 8.547119
| 8.572052
| 8.128311
| 8.407819
| 8.402799
| 8.388385
| 9.219521
| 8.160058
|
0708.1075
|
Olaf Lechtenfeld
|
Anton Galajinsky, Olaf Lechtenfeld, Kirill Polovnikov
|
N=4 superconformal Calogero models
|
1+21 pages; v2: slight changes in section 4, new subsection 5.3 with
additional results (a full list of n=3 and n=4 models), acknowledgments and
one reference added, JHEP version
|
JHEP0711:008,2007
|
10.1088/1126-6708/2007/11/008
| null |
hep-th
| null |
We continue the research initiated in hep-th/0607215 and apply our method of
conformal automorphisms to generate various N=4 superconformal quantum
many-body systems on the real line from a set of decoupled particles extended
by fermionic degrees of freedom. The su(1,1|2) invariant models are governed by
two scalar potentials obeying a system of nonlinear partial differential
equations which generalizes the Witten-Dijkgraaf-Verlinde-Verlinde equations.
As an application, the N=4 superconformal extension of the three-particle
(A-type) Calogero model generates a unique G_2-type Hamiltonian featuring
three-body interactions. We fully analyze the N=4 superconformal three- and
four-particle models based on the root systems of A_1 + G_2 and F_4,
respectively. Beyond Wyllard's solutions we find a list of new models, whose
translational non-invariance of the center-of-mass motion fails to decouple and
extends even to the relative particle motion.
|
[
{
"created": "Wed, 8 Aug 2007 10:23:42 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Nov 2007 10:33:42 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Galajinsky",
"Anton",
""
],
[
"Lechtenfeld",
"Olaf",
""
],
[
"Polovnikov",
"Kirill",
""
]
] |
We continue the research initiated in hep-th/0607215 and apply our method of conformal automorphisms to generate various N=4 superconformal quantum many-body systems on the real line from a set of decoupled particles extended by fermionic degrees of freedom. The su(1,1|2) invariant models are governed by two scalar potentials obeying a system of nonlinear partial differential equations which generalizes the Witten-Dijkgraaf-Verlinde-Verlinde equations. As an application, the N=4 superconformal extension of the three-particle (A-type) Calogero model generates a unique G_2-type Hamiltonian featuring three-body interactions. We fully analyze the N=4 superconformal three- and four-particle models based on the root systems of A_1 + G_2 and F_4, respectively. Beyond Wyllard's solutions we find a list of new models, whose translational non-invariance of the center-of-mass motion fails to decouple and extends even to the relative particle motion.
| 10.620933
| 10.424181
| 13.180858
| 9.952157
| 11.162903
| 10.737777
| 10.742785
| 10.271255
| 10.262934
| 12.587279
| 10.238494
| 10.161563
| 10.992796
| 10.321374
| 10.560884
| 10.320368
| 10.268491
| 10.211921
| 10.01685
| 10.681287
| 10.086898
|
1402.4200
|
Yuji Tachikawa
|
Yuji Tachikawa
|
Moduli spaces of SO(8) instantons on smooth ALE spaces as Higgs branches
of 4d N=2 supersymmetric theories
|
18 pages, 10 figures; v2: additional references and minor changes;
published version
| null |
10.1007/JHEP06(2014)056
|
IPMU-14-0029, UT-14-5
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The worldvolume theory of D3-branes probing four D7-branes and an O7-plane on
$\mathbb{C}^2/\mathbb{Z}_2$ is given by a supersymmetric USp x USp gauge
theory. We demonstrate that, at least for a particular choice of the holonomy
at infinity, we can go to a dual description of the gauge theory, where we can
add a Fayet-Iliopoulos term describing the blowing-up of the orbifold to the
smooth ALE space. This allows us to express the moduli space of SO(8)
instantons on the smooth ALE space as a hyperk\"ahler quotient of a flat space
times the Higgs branch of a class S theory. We also discuss a generalization to
$\mathbb{C}^2/\mathbb{Z}_{2n}$, and speculate how to extend the analysis to
bigger SO groups and to ALE spaces of other types.
|
[
{
"created": "Tue, 18 Feb 2014 01:28:11 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jun 2014 01:55:18 GMT",
"version": "v2"
}
] |
2019-08-19
|
[
[
"Tachikawa",
"Yuji",
""
]
] |
The worldvolume theory of D3-branes probing four D7-branes and an O7-plane on $\mathbb{C}^2/\mathbb{Z}_2$ is given by a supersymmetric USp x USp gauge theory. We demonstrate that, at least for a particular choice of the holonomy at infinity, we can go to a dual description of the gauge theory, where we can add a Fayet-Iliopoulos term describing the blowing-up of the orbifold to the smooth ALE space. This allows us to express the moduli space of SO(8) instantons on the smooth ALE space as a hyperk\"ahler quotient of a flat space times the Higgs branch of a class S theory. We also discuss a generalization to $\mathbb{C}^2/\mathbb{Z}_{2n}$, and speculate how to extend the analysis to bigger SO groups and to ALE spaces of other types.
| 6.2581
| 5.683927
| 7.332246
| 5.966809
| 5.888172
| 5.40375
| 6.190547
| 5.989933
| 5.849113
| 8.317526
| 5.927794
| 5.624723
| 6.434171
| 5.969818
| 5.655194
| 5.715922
| 5.574583
| 5.760405
| 5.811096
| 6.2254
| 5.719706
|
1304.0366
|
Peng Huang
|
Peng Huang, Yong-chang Huang
|
Stability of the holographic description of the Universe
|
11 pages
|
Eur. Phys. J. C 73 (2013) 2366
|
10.1140/epjc/s10052-013-2366-1
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the stability of the holographic description of the universe.
By treating the perturbation globally, we discover that this description is
stable, which is support for the holographic description of the universe.
|
[
{
"created": "Mon, 1 Apr 2013 14:34:02 GMT",
"version": "v1"
}
] |
2013-04-02
|
[
[
"Huang",
"Peng",
""
],
[
"Huang",
"Yong-chang",
""
]
] |
We investigate the stability of the holographic description of the universe. By treating the perturbation globally, we discover that this description is stable, which is support for the holographic description of the universe.
| 18.372896
| 12.886113
| 13.263236
| 12.15583
| 11.588413
| 11.225868
| 12.135725
| 12.13372
| 13.697008
| 13.215267
| 13.826506
| 14.606833
| 13.522121
| 13.76275
| 13.732118
| 13.393379
| 14.179819
| 13.601014
| 13.771724
| 13.428384
| 13.331691
|
hep-th/0003267
|
Horacio E. Camblong
|
Horacio E. Camblong, Luis N. Epele, Huner Fanchiotti and Carlos A.
Garcia Canal
|
Dimensional Transmutation and Dimensional Regularization in Quantum
Mechanics. II: Rotational Invariance
|
29 pages. To appear in Annals of Physics
|
Ann.Phys.287:57-100,2001
|
10.1006/aphy.2000.6093
| null |
hep-th quant-ph
| null |
A thorough analysis is presented of the class of central fields of force that
exhibit: (i) dimensional transmutation and (ii) rotational invariance. Using
dimensional regularization, the two-dimensional delta-function potential and
the $D$-dimensional inverse square potential are studied. In particular, the
following features are analyzed: the existence of a critical coupling, the
boundary condition at the origin, the relationship between the bound-state and
scattering sectors, and the similarities displayed by both potentials. It is
found that, for rotationally symmetric scale-invariant potentials, there is a
strong-coupling regime, for which quantum-mechanical breaking of symmetry takes
place, with the appearance of a unique bound state as well as of a logarithmic
energy dependence of the scattering with respect to the energy.
|
[
{
"created": "Wed, 29 Mar 2000 08:40:31 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Jan 2001 05:24:51 GMT",
"version": "v2"
}
] |
2010-11-19
|
[
[
"Camblong",
"Horacio E.",
""
],
[
"Epele",
"Luis N.",
""
],
[
"Fanchiotti",
"Huner",
""
],
[
"Canal",
"Carlos A. Garcia",
""
]
] |
A thorough analysis is presented of the class of central fields of force that exhibit: (i) dimensional transmutation and (ii) rotational invariance. Using dimensional regularization, the two-dimensional delta-function potential and the $D$-dimensional inverse square potential are studied. In particular, the following features are analyzed: the existence of a critical coupling, the boundary condition at the origin, the relationship between the bound-state and scattering sectors, and the similarities displayed by both potentials. It is found that, for rotationally symmetric scale-invariant potentials, there is a strong-coupling regime, for which quantum-mechanical breaking of symmetry takes place, with the appearance of a unique bound state as well as of a logarithmic energy dependence of the scattering with respect to the energy.
| 10.294392
| 10.512245
| 11.152078
| 11.023223
| 11.058564
| 10.963936
| 11.008098
| 9.617505
| 10.289771
| 10.749348
| 10.112143
| 10.0501
| 9.625678
| 9.300145
| 9.851837
| 10.116924
| 9.594948
| 9.552622
| 9.849986
| 9.895758
| 9.998035
|
hep-th/0211072
|
John F. Donoghue
|
N. E. J Bjerrum-Bohr, John F. Donoghue, and Barry R. Holstein
|
Quantum Gravitational Corrections to the Nonrelativistic Scattering
Potential of Two Masses
|
27 pages, 17 figures
|
Phys.Rev.D67:084033,2003; Erratum-ibid.D71:069903,2005
|
10.1103/PhysRevD.67.084033 10.1103/PhysRevD.71.069903
| null |
hep-th gr-qc hep-ph
| null |
We treat general relativity as an effective field theory, obtaining the full
nonanalytic component of the scattering matrix potential to one-loop order. The
lowest order vertex rules for the resulting effective field theory are
presented and the one-loop diagrams which yield the leading nonrelativistic
post-Newtonian and quantum corrections to the gravitational scattering
amplitude to second order in G are calculated in detail. The Fourier
transformed amplitudes yield a nonrelativistic potential and our result is
discussed in relation to previous calculations. The definition of a potential
is discussed as well and we show how the ambiguity of the potential under
coordinate changes is resolved.
|
[
{
"created": "Fri, 8 Nov 2002 16:53:43 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Bjerrum-Bohr",
"N. E. J",
""
],
[
"Donoghue",
"John F.",
""
],
[
"Holstein",
"Barry R.",
""
]
] |
We treat general relativity as an effective field theory, obtaining the full nonanalytic component of the scattering matrix potential to one-loop order. The lowest order vertex rules for the resulting effective field theory are presented and the one-loop diagrams which yield the leading nonrelativistic post-Newtonian and quantum corrections to the gravitational scattering amplitude to second order in G are calculated in detail. The Fourier transformed amplitudes yield a nonrelativistic potential and our result is discussed in relation to previous calculations. The definition of a potential is discussed as well and we show how the ambiguity of the potential under coordinate changes is resolved.
| 12.434883
| 13.199611
| 12.253768
| 11.979078
| 12.049623
| 12.00075
| 13.020221
| 12.005775
| 12.780746
| 12.156732
| 12.673027
| 12.317146
| 11.96374
| 11.902908
| 11.770212
| 12.1678
| 12.435894
| 12.224374
| 13.098045
| 12.607141
| 12.0444
|
hep-th/9112017
| null |
J. Luis Miramontes and Joaquin Sanchez Guillen
|
Universality and Non-Perturbative Definitions of 2D Quantum Gravity from
Matrix Models
|
20 pages
|
Int.J.Mod.Phys.A7:6457-6472,1992
|
10.1142/S0217751X92002957
| null |
hep-th
| null |
The universality of the non-perturbative definition of Hermitian one-matrix
models following the quantum, stochastic, or $d=1$-like stabilization is
discussed in comparison with other procedures. We also present another
alternative definition, which illustrates the need of new physical input for
$d=0$ matrix models to make contact with 2D quantum gravity at the
non-perturbative level.
|
[
{
"created": "Mon, 9 Dec 1991 15:18:14 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"Miramontes",
"J. Luis",
""
],
[
"Guillen",
"Joaquin Sanchez",
""
]
] |
The universality of the non-perturbative definition of Hermitian one-matrix models following the quantum, stochastic, or $d=1$-like stabilization is discussed in comparison with other procedures. We also present another alternative definition, which illustrates the need of new physical input for $d=0$ matrix models to make contact with 2D quantum gravity at the non-perturbative level.
| 18.151287
| 15.630597
| 19.049017
| 15.137286
| 16.252254
| 17.417845
| 17.278229
| 15.261535
| 15.677482
| 19.576002
| 16.146133
| 15.657177
| 18.314034
| 16.715651
| 16.306496
| 15.314981
| 15.624987
| 15.316048
| 15.753731
| 17.796408
| 14.769137
|
hep-th/0305152
|
Filipe Freire
|
Mboyo Esole and Filipe Freire
|
The unphysical nature of the SL(2,R) symmetry and its associated
condensates in Yang-Mills theories
|
5 pages (revtex4), final version to appear in Phys. Rev. D
|
Phys.Rev. D69 (2004) 041701
|
10.1103/PhysRevD.69.041701
| null |
hep-th
| null |
BRST cohomology methods are used to explain the origin of the SL(2,R)
symmetry in Yang-Mills theories. Clear evidence is provided for the unphysical
nature of this symmetry. This is obtained from the analysis of a local
functional of mass dimension two and constitutes a no-go statement for giving a
physical meaning to condensates associated with the symmetry breaking of
SL(2,R).
|
[
{
"created": "Sat, 17 May 2003 16:45:10 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Jan 2004 14:00:51 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Esole",
"Mboyo",
""
],
[
"Freire",
"Filipe",
""
]
] |
BRST cohomology methods are used to explain the origin of the SL(2,R) symmetry in Yang-Mills theories. Clear evidence is provided for the unphysical nature of this symmetry. This is obtained from the analysis of a local functional of mass dimension two and constitutes a no-go statement for giving a physical meaning to condensates associated with the symmetry breaking of SL(2,R).
| 12.445065
| 11.297973
| 10.914409
| 11.037927
| 10.32211
| 10.711236
| 11.337247
| 11.819184
| 10.667966
| 12.48215
| 10.67463
| 10.53575
| 9.90354
| 10.711123
| 10.386707
| 10.296456
| 10.451176
| 11.026097
| 10.560693
| 10.764697
| 10.923637
|
0706.2546
|
Giuseppe Mussardo
|
Giuseppe Mussardo
|
Kink Confinement and Supersymmetry
|
29 pages, 12 figures
|
JHEP 0708:003,2007
|
10.1088/1126-6708/2007/08/003
| null |
hep-th cond-mat.stat-mech hep-lat
| null |
We analyze non-integrable deformations of two-dimensional N=1 supersymmetric
quantum field theories with kink excitations. As example, we consider the
multi-frequency Super Sine Gordon model. At weak coupling, this model is robust
with respect to kink confinement phenomena, in contrast to the purely bosonic
case. If we vary the coupling, the model presents a sequence of phase
transitions, where pairs of kinks disappear from the spectrum. The phase
transitions fall into two classes: the first presents the critical behaviors of
the Tricritical Ising model, the second instead those of the gaussian model. In
the first case, close to the critical point, the model has metastable vacua,
with a spontaneously supersymmetry breaking. When the life-time of the
metastable vacua is sufficiently long, the role of goldstino is given by the
massless Majorana fermion of the Ising model. On the contrary, supersymmetry
remains exact in the phase transition of the second type.
|
[
{
"created": "Mon, 18 Jun 2007 08:05:57 GMT",
"version": "v1"
}
] |
2009-11-18
|
[
[
"Mussardo",
"Giuseppe",
""
]
] |
We analyze non-integrable deformations of two-dimensional N=1 supersymmetric quantum field theories with kink excitations. As example, we consider the multi-frequency Super Sine Gordon model. At weak coupling, this model is robust with respect to kink confinement phenomena, in contrast to the purely bosonic case. If we vary the coupling, the model presents a sequence of phase transitions, where pairs of kinks disappear from the spectrum. The phase transitions fall into two classes: the first presents the critical behaviors of the Tricritical Ising model, the second instead those of the gaussian model. In the first case, close to the critical point, the model has metastable vacua, with a spontaneously supersymmetry breaking. When the life-time of the metastable vacua is sufficiently long, the role of goldstino is given by the massless Majorana fermion of the Ising model. On the contrary, supersymmetry remains exact in the phase transition of the second type.
| 9.66146
| 9.683747
| 10.586951
| 9.322904
| 9.493705
| 9.388107
| 9.24448
| 9.532914
| 9.02334
| 11.067118
| 9.054187
| 9.341621
| 9.545405
| 9.382115
| 9.256523
| 9.347604
| 9.073911
| 9.177737
| 9.097869
| 10.10938
| 9.06446
|
hep-th/0103165
|
John H. Schwarz
|
John H. Schwarz
|
Comments on Born-Infeld Theory
|
10 pages; talk presented at Strings 2001
| null | null |
CALT-68-2322, CITUSC/01-006
|
hep-th
| null |
The low-energy effective action of supersymmetric D-brane systems consists of
two terms, one of which is of the Born-Infeld type and one of which is of the
Chern-Simons type. I briefly review the status of our understanding of these
terms for both the Abelian and non-Abelian cases.
|
[
{
"created": "Tue, 20 Mar 2001 19:01:14 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Schwarz",
"John H.",
""
]
] |
The low-energy effective action of supersymmetric D-brane systems consists of two terms, one of which is of the Born-Infeld type and one of which is of the Chern-Simons type. I briefly review the status of our understanding of these terms for both the Abelian and non-Abelian cases.
| 5.089199
| 4.847229
| 5.190089
| 4.687242
| 4.731028
| 4.719101
| 4.818873
| 4.605809
| 4.764526
| 5.114319
| 4.744231
| 4.954153
| 5.21291
| 4.659081
| 4.655576
| 4.790379
| 4.689589
| 4.822532
| 4.83409
| 5.080459
| 4.64786
|
1001.1103
|
Jan Gutowski
|
U. Gran, J. Gutowski, G. Papadopoulos
|
M-theory backgrounds with 30 Killing spinors are maximally
supersymmetric
|
37 pages, latex. Minor changes.
|
JHEP 1003:112,2010
|
10.1007/JHEP03(2010)112
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that all M-theory backgrounds which admit more than 29 Killing
spinors are maximally supersymmetric. In particular, we find that the
supercovariant curvature of all backgrounds which preserve 30 supersymmetries,
subject to field equations and Bianchi identities, vanishes, and that there are
no such solutions which arise as discrete quotients of maximally supersymmetric
backgrounds.
|
[
{
"created": "Thu, 7 Jan 2010 16:06:23 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Mar 2010 12:42:43 GMT",
"version": "v2"
}
] |
2010-05-07
|
[
[
"Gran",
"U.",
""
],
[
"Gutowski",
"J.",
""
],
[
"Papadopoulos",
"G.",
""
]
] |
We show that all M-theory backgrounds which admit more than 29 Killing spinors are maximally supersymmetric. In particular, we find that the supercovariant curvature of all backgrounds which preserve 30 supersymmetries, subject to field equations and Bianchi identities, vanishes, and that there are no such solutions which arise as discrete quotients of maximally supersymmetric backgrounds.
| 6.805806
| 5.769446
| 8.113063
| 5.889424
| 6.48175
| 6.003754
| 5.795794
| 6.110911
| 5.848592
| 8.923321
| 6.058207
| 6.247721
| 7.212325
| 6.174112
| 6.296171
| 6.251829
| 6.137088
| 6.327942
| 6.307748
| 6.867897
| 6.191763
|
1408.1715
|
Erik Plauschinn
|
Erik Plauschinn
|
On T-duality transformations for the three-sphere
|
42 pages; v2: references added; v3: published version
| null |
10.1016/j.nuclphysb.2015.02.008
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study collective T-duality transformations along one, two and three
directions of isometry for the three-sphere with H-flux. Our aim is to obtain
new non-geometric backgrounds along lines similar to the example of the
three-torus. However, the resulting backgrounds turn out to be geometric in
nature. To perform the duality transformations, we develop a novel procedure
for non-abelian T-duality, which follows a route different compared to the
known literature, and which highlights the underlying structure from an
alternative point of view.
|
[
{
"created": "Thu, 7 Aug 2014 21:18:04 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Sep 2014 15:51:01 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Mar 2015 12:54:56 GMT",
"version": "v3"
}
] |
2015-03-26
|
[
[
"Plauschinn",
"Erik",
""
]
] |
We study collective T-duality transformations along one, two and three directions of isometry for the three-sphere with H-flux. Our aim is to obtain new non-geometric backgrounds along lines similar to the example of the three-torus. However, the resulting backgrounds turn out to be geometric in nature. To perform the duality transformations, we develop a novel procedure for non-abelian T-duality, which follows a route different compared to the known literature, and which highlights the underlying structure from an alternative point of view.
| 11.528886
| 12.234348
| 12.708701
| 11.148055
| 11.515116
| 11.639266
| 11.117319
| 10.742476
| 10.305774
| 14.093451
| 10.638774
| 10.844708
| 11.61283
| 11.099064
| 11.19941
| 10.905996
| 10.730867
| 10.850595
| 10.680251
| 11.911426
| 10.484964
|
1512.04104
|
Mohammad Reza Tanhayi
|
Mohammad Reza Tanhayi
|
Thermalization of Mutual Information in Hyperscaling Violating
Backgrounds
|
24 pages, no figures, conclusion and introduction improved, ref.s
added, typos corrected, generalization of arXiv:1406.7677 (thermalization of
mutual information part) to time-dependent hyperscaling violating geometries,
accepted for publication in JHEP
|
JHEP 03 (2016) 202
|
10.1007/JHEP03(2016)202
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study certain features of scaling behaviors of the mutual information
during a process of thermalization, more precisely we extend the time scaling
behavior of mutual information which has been discussed in
\cite{Alishahiha:2014jxa} to time-dependent hyperscaling violating geometries.
We use the holographic description of entanglement entropy for two disjoint
system consisting of two parallel strips whose widths are much larger than the
separation between them. We show that during the thermalization process, the
dynamical exponent plays a crucial rule in reading the general time scaling
behavior of mutual information (\emph{e.g.,} at the pre-local-equilibration
regime). It is shown that the scaling violating parameter can be employed to
define an effective dimension.
|
[
{
"created": "Sun, 13 Dec 2015 19:17:23 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Dec 2015 15:01:40 GMT",
"version": "v2"
},
{
"created": "Mon, 14 Mar 2016 17:55:50 GMT",
"version": "v3"
}
] |
2016-05-04
|
[
[
"Tanhayi",
"Mohammad Reza",
""
]
] |
We study certain features of scaling behaviors of the mutual information during a process of thermalization, more precisely we extend the time scaling behavior of mutual information which has been discussed in \cite{Alishahiha:2014jxa} to time-dependent hyperscaling violating geometries. We use the holographic description of entanglement entropy for two disjoint system consisting of two parallel strips whose widths are much larger than the separation between them. We show that during the thermalization process, the dynamical exponent plays a crucial rule in reading the general time scaling behavior of mutual information (\emph{e.g.,} at the pre-local-equilibration regime). It is shown that the scaling violating parameter can be employed to define an effective dimension.
| 11.532447
| 10.674647
| 12.389869
| 9.828803
| 10.866817
| 10.141698
| 9.549705
| 10.61818
| 10.343607
| 12.6585
| 10.572264
| 10.826715
| 11.06859
| 10.398774
| 10.642039
| 10.523623
| 10.014843
| 10.679314
| 10.21232
| 11.025191
| 10.55784
|
0905.1663
|
Harvey B. Meyer
|
Harvey B. Meyer
|
Finite Volume Effects in Thermal Field Theory
|
(14+1) pages
|
JHEP 0907:059,2009
|
10.1088/1126-6708/2009/07/059
|
MIT-CTP 4035
|
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the effect of a finite volume on the thermodynamic potentials of a
relativistic quantum field theory defined on a hypertorus at vanishing chemical
potential. Using the symmetries of the Euclidean partition function, we
interpret the thermodynamic observables as the expectation value of the
energy-momentum tensor in the same theory living on a $\beta\times L^2$ volume.
In the case where the screening correlation lengths in the thermal system are
finite, we obtain a closed formula for the leading finite volume effects in
terms of the smallest screening mass. This formula can be used to estimate, and
possibly correct for, the leading finite volume effects in lattice calculations
of QCD thermodynamics.
|
[
{
"created": "Mon, 11 May 2009 17:44:53 GMT",
"version": "v1"
}
] |
2009-07-28
|
[
[
"Meyer",
"Harvey B.",
""
]
] |
We analyze the effect of a finite volume on the thermodynamic potentials of a relativistic quantum field theory defined on a hypertorus at vanishing chemical potential. Using the symmetries of the Euclidean partition function, we interpret the thermodynamic observables as the expectation value of the energy-momentum tensor in the same theory living on a $\beta\times L^2$ volume. In the case where the screening correlation lengths in the thermal system are finite, we obtain a closed formula for the leading finite volume effects in terms of the smallest screening mass. This formula can be used to estimate, and possibly correct for, the leading finite volume effects in lattice calculations of QCD thermodynamics.
| 8.280517
| 8.882668
| 8.037825
| 7.5521
| 8.147523
| 8.143732
| 7.679441
| 8.131396
| 7.548051
| 7.977523
| 7.955119
| 8.043844
| 7.787519
| 7.792189
| 7.869029
| 7.671847
| 7.515889
| 8.321826
| 7.691836
| 7.880592
| 7.769813
|
hep-th/0010182
|
Kasper Peeters
|
Kasper Peeters, Pierre Vanhove and Anders Westerberg
|
Supersymmetric R^4 actions and quantum corrections to superspace torsion
constraints
|
8 pages. Summarises the methods and results of hep-th/0010167
| null | null |
DAMTP-2000-91, NORDITA-2000/87 HE, SPHT-T00/117
|
hep-th
| null |
We present the supersymmetrisation of the anomaly-related R^4 term in eleven
dimensions and show that it induces no non-trivial modifications to the
on-shell supertranslation algebra and the superspace torsion constraints before
inclusion of gauge-field terms.
|
[
{
"created": "Fri, 20 Oct 2000 17:18:55 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Peeters",
"Kasper",
""
],
[
"Vanhove",
"Pierre",
""
],
[
"Westerberg",
"Anders",
""
]
] |
We present the supersymmetrisation of the anomaly-related R^4 term in eleven dimensions and show that it induces no non-trivial modifications to the on-shell supertranslation algebra and the superspace torsion constraints before inclusion of gauge-field terms.
| 23.646187
| 17.755213
| 25.08876
| 16.753168
| 19.338968
| 16.485701
| 19.337683
| 18.595751
| 15.695261
| 24.233854
| 17.416592
| 18.531977
| 21.98665
| 19.95713
| 18.802246
| 19.002563
| 18.973465
| 19.314491
| 18.325718
| 21.540064
| 19.341726
|
2209.04632
|
Javier Mart\'in-Garc\'ia
|
Javier Martin-Garcia
|
Quantum Complexity and Holography
|
151 pages, Ph. D. thesis (2020). Introductory chapter summarizes the
motivations for connecting entanglement and complexity with gravity, while
chapters 2, 3 and 4 are closely based on arXiv:1510.00349, arXiv:1710.06415,
arXiv:1805.05291 and arXiv:1912.00904
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by-nc-sa/4.0/
|
This thesis develops recent work on the so called Volume-Complexity and
Action-Complexity conjectures. According to this family of proposals, geometric
quantities can be defined in some holographic gravitational theories that can
be mapped with the concept of quantum complexity for states in a dual
quantum-mechanical theory.
In this work, we review the original motivations for the use of
quantum-information theory in the search of a theory of quantum gravity, and
argue in favour of holographic complexity as a promising new tool that could
play a key role in the elucidation of the properties of black holes.
After this introduction, we devote some time to the study of `exotic'
thermodynamical systems of diverse origin, confronting the conjectures with
expectations and seeking for new behaviours of holographic complexity that
could help us understand or refine the existing proposals.
Next, we turn our attention to the study of holographic complexity for
singular spacetimes, defining slightly modified versions of the conjecture that
are well adapted to singularities and searching for universal behaviours of
complexity dynamics within these setups.
Finally, we finish with some speculations about the relation between
holographic complexity and older characterization criteria for singularities in
general relativity.
|
[
{
"created": "Sat, 10 Sep 2022 10:31:33 GMT",
"version": "v1"
}
] |
2022-09-13
|
[
[
"Martin-Garcia",
"Javier",
""
]
] |
This thesis develops recent work on the so called Volume-Complexity and Action-Complexity conjectures. According to this family of proposals, geometric quantities can be defined in some holographic gravitational theories that can be mapped with the concept of quantum complexity for states in a dual quantum-mechanical theory. In this work, we review the original motivations for the use of quantum-information theory in the search of a theory of quantum gravity, and argue in favour of holographic complexity as a promising new tool that could play a key role in the elucidation of the properties of black holes. After this introduction, we devote some time to the study of `exotic' thermodynamical systems of diverse origin, confronting the conjectures with expectations and seeking for new behaviours of holographic complexity that could help us understand or refine the existing proposals. Next, we turn our attention to the study of holographic complexity for singular spacetimes, defining slightly modified versions of the conjecture that are well adapted to singularities and searching for universal behaviours of complexity dynamics within these setups. Finally, we finish with some speculations about the relation between holographic complexity and older characterization criteria for singularities in general relativity.
| 12.259656
| 12.600455
| 12.506344
| 11.11086
| 11.722359
| 11.727936
| 12.412333
| 11.052128
| 11.110269
| 12.389996
| 10.654284
| 11.491756
| 11.429162
| 11.322322
| 10.948274
| 11.161371
| 11.348096
| 11.093783
| 11.504773
| 11.670935
| 11.004578
|
1202.5733
|
Gregory Korchemsky
|
Burkhard Eden, Paul Heslop, Gregory P. Korchemsky, Vladimir A.
Smirnov, Emery Sokatchev
|
Five-loop Konishi in N=4 SYM
|
42 pages, 7 figures; v2: reference added, minor corrections
| null |
10.1016/j.nuclphysb.2012.04.015
|
CERN-PH-TH/2012-053; DCPT-12/11; HU-EP-12/07; HU-MATH 2012-04;
IPhT-T12/014; LAPTH-011/12
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a new method for computing the Konishi anomalous dimension in N=4
SYM at weak coupling. It does not rely on the conventional Feynman diagram
technique and is not restricted to the planar limit. It is based on the OPE
analysis of the four-point correlation function of stress-tensor multiplets,
which has been recently constructed up to six loops. The Konishi operator gives
the leading contribution to the singlet SU(4) channel of this OPE. Its
anomalous dimension is the coefficient of the leading single logarithmic
singularity of the logarithm of the correlation function in the double
short-distance limit, in which the operator positions coincide pairwise. We
regularize the logarithm of the correlation function in this singular limit by
a version of dimensional regularization. At any loop level, the resulting
singularity is a simple pole whose residue is determined by a finite two-point
integral with one loop less. This drastically simplifies the five-loop
calculation of the Konishi anomalous dimension by reducing it to a set of known
four-loop two-point integrals and two unknown integrals which we evaluate
analytically. We obtain an analytic result at five loops in the planar limit
and observe perfect agreement with the prediction based on integrability in
AdS/CFT.
|
[
{
"created": "Sun, 26 Feb 2012 08:54:57 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Mar 2012 07:59:19 GMT",
"version": "v2"
},
{
"created": "Wed, 9 May 2012 06:41:00 GMT",
"version": "v3"
}
] |
2015-06-04
|
[
[
"Eden",
"Burkhard",
""
],
[
"Heslop",
"Paul",
""
],
[
"Korchemsky",
"Gregory P.",
""
],
[
"Smirnov",
"Vladimir A.",
""
],
[
"Sokatchev",
"Emery",
""
]
] |
We present a new method for computing the Konishi anomalous dimension in N=4 SYM at weak coupling. It does not rely on the conventional Feynman diagram technique and is not restricted to the planar limit. It is based on the OPE analysis of the four-point correlation function of stress-tensor multiplets, which has been recently constructed up to six loops. The Konishi operator gives the leading contribution to the singlet SU(4) channel of this OPE. Its anomalous dimension is the coefficient of the leading single logarithmic singularity of the logarithm of the correlation function in the double short-distance limit, in which the operator positions coincide pairwise. We regularize the logarithm of the correlation function in this singular limit by a version of dimensional regularization. At any loop level, the resulting singularity is a simple pole whose residue is determined by a finite two-point integral with one loop less. This drastically simplifies the five-loop calculation of the Konishi anomalous dimension by reducing it to a set of known four-loop two-point integrals and two unknown integrals which we evaluate analytically. We obtain an analytic result at five loops in the planar limit and observe perfect agreement with the prediction based on integrability in AdS/CFT.
| 5.871305
| 6.047605
| 6.826278
| 6.032732
| 6.530125
| 6.307662
| 6.182068
| 6.010628
| 5.876787
| 7.793706
| 5.850706
| 6.321737
| 6.375983
| 5.901178
| 5.939368
| 5.87385
| 5.83287
| 5.881883
| 5.886907
| 6.24961
| 5.830404
|
hep-th/0006108
|
Dmitri Vassilevich
|
W. Kummer, D.V. Vassilevich
|
Renormalizability of the open string sigma model and emergence of
D-branes
|
24 pages, a reference and discussion (about 1 page, sec. 3.3 and 4.1)
added, typos corrected
|
JHEP 0007 (2000) 012
|
10.1088/1126-6708/2000/07/012
|
TUW-00-18
|
hep-th
| null |
Rederiving the one-loop divergences for the most general coupling of the open
string sigma model by the heat kernel technique, we distinguish the classical
background field from the mean field of the effective action. The latter is
arbitrary, i.e. does not fulfil the boundary conditions. As a consequence a new
divergent counter term strongly suggests the introduction of another external
one-form field (beside the usual gauge field), coupled to the normal derivative
at the boundary. Actually such a field has been proposed in the literature for
different reasons, but its full impact never seems to have thoroughly
investigated before. The beta function for the resulting renormalizable model
is calculated and the consequences are discussed, including the ones for the
Born-Infeld action. The most exciting property of the new coupling is that it
enters the coefficient in front of the normal derivative in Neumann boundary
conditions. For certain values of the background fields this coefficient
vanishes, leading to Dirichlet boundary conditions. This provides a natural
mechanism for the emergence of D-branes.
|
[
{
"created": "Thu, 15 Jun 2000 12:02:25 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Jun 2000 13:22:05 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Jul 2000 11:12:25 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Kummer",
"W.",
""
],
[
"Vassilevich",
"D. V.",
""
]
] |
Rederiving the one-loop divergences for the most general coupling of the open string sigma model by the heat kernel technique, we distinguish the classical background field from the mean field of the effective action. The latter is arbitrary, i.e. does not fulfil the boundary conditions. As a consequence a new divergent counter term strongly suggests the introduction of another external one-form field (beside the usual gauge field), coupled to the normal derivative at the boundary. Actually such a field has been proposed in the literature for different reasons, but its full impact never seems to have thoroughly investigated before. The beta function for the resulting renormalizable model is calculated and the consequences are discussed, including the ones for the Born-Infeld action. The most exciting property of the new coupling is that it enters the coefficient in front of the normal derivative in Neumann boundary conditions. For certain values of the background fields this coefficient vanishes, leading to Dirichlet boundary conditions. This provides a natural mechanism for the emergence of D-branes.
| 12.600152
| 12.392436
| 13.258633
| 11.975069
| 12.321264
| 13.309157
| 12.899555
| 12.531661
| 11.798954
| 13.841024
| 12.419373
| 11.830556
| 11.833439
| 11.372879
| 11.682597
| 11.389217
| 11.363385
| 11.671155
| 11.858901
| 11.721238
| 11.635581
|
1209.2727
|
Carlos A. S. Almeida
|
L. J. S. Sousa, J. E. G. Silva, C. A. S. Almeida
|
A 6D standing wave Braneworld
|
19 pages, 4 figures
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We constructed a six-dimensional version of the standing wave model with an
anisotropic 4-brane generated by a phantom-like scalar field. The model
represents a braneworld where the compact (on-brane) dimension is assumed to be
sufficiently small in order to describe our universe (hybrid compactification).
The proposed geometry of the brane and its transverse manifold is non-static,
unlike the majority of braneworld models presented in the literature.
Furthermore, we have shown that the zero-mode scalar field is localized around
the brane. While in the string-like defect the scalar field is localized on a
brane with decreasing warp factor, here it was possible to perform the
localization with an increasing warp factor.
|
[
{
"created": "Wed, 12 Sep 2012 20:50:53 GMT",
"version": "v1"
}
] |
2012-09-14
|
[
[
"Sousa",
"L. J. S.",
""
],
[
"Silva",
"J. E. G.",
""
],
[
"Almeida",
"C. A. S.",
""
]
] |
We constructed a six-dimensional version of the standing wave model with an anisotropic 4-brane generated by a phantom-like scalar field. The model represents a braneworld where the compact (on-brane) dimension is assumed to be sufficiently small in order to describe our universe (hybrid compactification). The proposed geometry of the brane and its transverse manifold is non-static, unlike the majority of braneworld models presented in the literature. Furthermore, we have shown that the zero-mode scalar field is localized around the brane. While in the string-like defect the scalar field is localized on a brane with decreasing warp factor, here it was possible to perform the localization with an increasing warp factor.
| 14.713175
| 10.957417
| 14.415265
| 11.997117
| 12.656104
| 13.080788
| 12.981688
| 11.1991
| 12.768641
| 15.102618
| 12.054317
| 12.999331
| 13.809154
| 13.499228
| 13.774663
| 13.453437
| 13.634442
| 13.362831
| 13.21786
| 14.32434
| 13.379182
|
hep-th/9405082
|
Tonatiuh Matos
|
Tonatiuh Matos
|
Exact Solutions of G-Invariant Chiral Equations
|
8 TeX pages. Seminar presented at the First Mexican-Russian Meeting
on Mathematical Physics, Mexico city, 1993
|
Mathematical Notes 58(1995)1178-1182
|
10.1007/BF02305001
|
Cinvestav 26/1995
|
hep-th
| null |
We give a methodology for solving the chiral equations $(\alpha g_{,z}
g^{-1})_{,\overline z} + (\alpha g_{,\overline z} g^{-1})_{,z} \ = \ 0 $ where
$g$ belongs to some Lie group $G$. The solutions are writing in terms of
Harmonic maps. The method could be used even for some infinite Lie groups.
(Preprint CIEA-gr-94/06)
|
[
{
"created": "Thu, 12 May 1994 17:23:53 GMT",
"version": "v1"
}
] |
2022-11-08
|
[
[
"Matos",
"Tonatiuh",
""
]
] |
We give a methodology for solving the chiral equations $(\alpha g_{,z} g^{-1})_{,\overline z} + (\alpha g_{,\overline z} g^{-1})_{,z} \ = \ 0 $ where $g$ belongs to some Lie group $G$. The solutions are writing in terms of Harmonic maps. The method could be used even for some infinite Lie groups. (Preprint CIEA-gr-94/06)
| 12.314095
| 12.754113
| 12.407963
| 11.014498
| 12.883361
| 12.374192
| 12.278317
| 13.261386
| 11.783799
| 14.319576
| 11.450266
| 10.586497
| 11.834621
| 10.932801
| 11.283449
| 10.647651
| 10.957635
| 11.180457
| 11.1597
| 11.864039
| 11.084643
|
hep-th/0608056
|
Eric R. Sharpe
|
E. Sharpe
|
Derived categories and stacks in physics
|
27 pages, LaTeX, 2 figures, contribution to proceedings of Vienna
homological mirror symmetry conference, June 2006; v2: refs added
| null | null | null |
hep-th
| null |
In this note we review how both derived categories and stacks enter physics.
The physical realization of each has many formal similarities. For example, in
both cases, equivalences are realized via renormalization group flow: in the
case of derived categories, (boundary) renormalization group flow realizes the
mathematical procedure of localization on quasi-isomorphisms, and in the case
of stacks, worldsheet renormalization group flow realizes
presentation-independence. For both, we outline current technical issues and
applications.
|
[
{
"created": "Tue, 8 Aug 2006 23:21:46 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Sep 2006 04:49:26 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Sharpe",
"E.",
""
]
] |
In this note we review how both derived categories and stacks enter physics. The physical realization of each has many formal similarities. For example, in both cases, equivalences are realized via renormalization group flow: in the case of derived categories, (boundary) renormalization group flow realizes the mathematical procedure of localization on quasi-isomorphisms, and in the case of stacks, worldsheet renormalization group flow realizes presentation-independence. For both, we outline current technical issues and applications.
| 14.648055
| 13.931798
| 16.181372
| 13.449076
| 13.467362
| 14.413104
| 13.401891
| 13.822358
| 13.786142
| 17.369102
| 12.490026
| 13.385685
| 14.553166
| 12.88339
| 13.682482
| 13.815604
| 13.722469
| 13.185994
| 13.067814
| 14.125546
| 13.219792
|
hep-th/0306259
|
Hagi Ahmedov
|
H. Ahmedov and I. H. Duru
|
Casimir energy inside a triangle
|
Latex, 13 pages
|
J.Math.Phys. 45 (2004) 965
|
10.1063/1.1643196
| null |
hep-th
| null |
For certain class of triangles (with angles proportional to $\fr{\pi}{N}$,
$N\geq 3$) we formulate image method by making use of the group $G_N$ generated
by reflections with respect to the three lines which form the triangle under
consideration. We formulate the renormalization procedure by classification of
subgroups of $G_N$ and corresponding fixed points in the triangle. We also
calculate Casimir energy for such geometries, for scalar massless fields. More
detailed calculation is given for odd $N$.
|
[
{
"created": "Thu, 26 Jun 2003 10:54:45 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Ahmedov",
"H.",
""
],
[
"Duru",
"I. H.",
""
]
] |
For certain class of triangles (with angles proportional to $\fr{\pi}{N}$, $N\geq 3$) we formulate image method by making use of the group $G_N$ generated by reflections with respect to the three lines which form the triangle under consideration. We formulate the renormalization procedure by classification of subgroups of $G_N$ and corresponding fixed points in the triangle. We also calculate Casimir energy for such geometries, for scalar massless fields. More detailed calculation is given for odd $N$.
| 15.644385
| 14.663492
| 14.748113
| 12.850977
| 13.120324
| 12.655422
| 13.700007
| 13.208617
| 12.947903
| 17.169228
| 13.995496
| 12.492208
| 12.986379
| 12.827756
| 12.609185
| 12.754305
| 13.056192
| 13.196889
| 13.361452
| 13.17628
| 13.441369
|
1212.3322
|
Taizan Watari
|
Ryoichi Nishio and Taizan Watari
|
Skewness Dependence of GPD / DVCS, Conformal OPE and AdS/CFT
Correspondence I: Wavefunctions of Regge Trajectory
| null | null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Traditional idea of Pomeron/Reggeon description for hadron scattering is now
being given theoretical foundation in gravity dual descriptions, where Pomeron
corresponds to exchange of spin-j\in 2Z states in the graviton trajectory.
Deeply virtual compton scattering (DVCS) is essentially a 2 to 2 scattering
process of a hadron and a photon, and hence one should be able to study
non-perturbative aspects (GPD) of this process by the "Pomeron" process in
gravity dual. We find, however, that even the most developed formulation of
gravity dual Pomeron (Brower--Polchinski--Strassler--Tan (BPST) 2006) is not
able to capture skewness dependence of GPD properly. Conformal operator product
expansion allows us to determine DVCS amplitude in terms of matrix elements of
primary operators, which should then be given by wavefunctions on warped
spacetime. We determined all the necessary wavefunctions on AdS$_5$ as an
expression holomorphic in $j$, which will then be used (in our forthcoming
publication) to determine GPD through inverse Mellin transformation. This
approach will extend the formulation of BPST.
|
[
{
"created": "Thu, 13 Dec 2012 20:55:53 GMT",
"version": "v1"
}
] |
2012-12-14
|
[
[
"Nishio",
"Ryoichi",
""
],
[
"Watari",
"Taizan",
""
]
] |
Traditional idea of Pomeron/Reggeon description for hadron scattering is now being given theoretical foundation in gravity dual descriptions, where Pomeron corresponds to exchange of spin-j\in 2Z states in the graviton trajectory. Deeply virtual compton scattering (DVCS) is essentially a 2 to 2 scattering process of a hadron and a photon, and hence one should be able to study non-perturbative aspects (GPD) of this process by the "Pomeron" process in gravity dual. We find, however, that even the most developed formulation of gravity dual Pomeron (Brower--Polchinski--Strassler--Tan (BPST) 2006) is not able to capture skewness dependence of GPD properly. Conformal operator product expansion allows us to determine DVCS amplitude in terms of matrix elements of primary operators, which should then be given by wavefunctions on warped spacetime. We determined all the necessary wavefunctions on AdS$_5$ as an expression holomorphic in $j$, which will then be used (in our forthcoming publication) to determine GPD through inverse Mellin transformation. This approach will extend the formulation of BPST.
| 13.855145
| 15.436413
| 12.241967
| 12.015454
| 17.161444
| 16.349672
| 16.181217
| 15.027095
| 11.780512
| 11.496514
| 14.450402
| 13.880601
| 13.456301
| 13.894176
| 14.730494
| 13.6873
| 14.788658
| 13.977196
| 13.512407
| 12.807461
| 13.379208
|
1904.10277
|
Alexandra Anokhina
|
Aleksandra Anokhina, Alexei Morozov, Aleksandr Popolitov
|
Nimble evolution for pretzel Khovanov polynomials
|
16 pages
|
Eur. Phys. J. C 79 (2019) 867
|
10.1140/epjc/s10052-019-7303-5
| null |
hep-th math-ph math.GT math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We conjecture explicit evolution formulas for Khovanov polynomials for
pretzel knots in some regions in the windings space. Our description is
exhaustive for genera 1 and 2. As previously observed, evolution at T != -1 is
not fully smooth: it switches abruptly at the boundaries between different
regions. We reveal that this happens also at the boundary between thin and
thick knots, moreover, the thick-knot domain is further stratified. For thin
knots evolution is governed by the standard T-deformation lambda of the
eigenvalues of the R-matrix. Emerging in the thick knots regions are additional
Lyapunov exponents, which are multiples of the naive ones. Such frequency
doubling is typical for non-linear dynamics, and our observation can signal
about a hidden non-linearity of superpolynomial evolution. Since evolution with
eigenvalues lambda^2, ..., lambda^g is "faster" than the one with lambda in the
thin-knot region, we name it "nimble.
|
[
{
"created": "Tue, 23 Apr 2019 12:32:38 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Sep 2019 15:34:14 GMT",
"version": "v2"
}
] |
2020-01-29
|
[
[
"Anokhina",
"Aleksandra",
""
],
[
"Morozov",
"Alexei",
""
],
[
"Popolitov",
"Aleksandr",
""
]
] |
We conjecture explicit evolution formulas for Khovanov polynomials for pretzel knots in some regions in the windings space. Our description is exhaustive for genera 1 and 2. As previously observed, evolution at T != -1 is not fully smooth: it switches abruptly at the boundaries between different regions. We reveal that this happens also at the boundary between thin and thick knots, moreover, the thick-knot domain is further stratified. For thin knots evolution is governed by the standard T-deformation lambda of the eigenvalues of the R-matrix. Emerging in the thick knots regions are additional Lyapunov exponents, which are multiples of the naive ones. Such frequency doubling is typical for non-linear dynamics, and our observation can signal about a hidden non-linearity of superpolynomial evolution. Since evolution with eigenvalues lambda^2, ..., lambda^g is "faster" than the one with lambda in the thin-knot region, we name it "nimble.
| 20.621237
| 23.070267
| 23.189684
| 19.633495
| 21.534735
| 22.252762
| 21.701971
| 20.342936
| 20.243093
| 23.429905
| 20.086739
| 21.31461
| 21.738489
| 20.547943
| 21.493006
| 20.5383
| 20.491171
| 20.074575
| 20.254396
| 20.462927
| 20.055252
|
1410.0016
|
Scott Watson
|
Ogan \"Ozsoy, Kuver Sinha, Scott Watson
|
How Well Can We Really Determine the Scale of Inflation?
|
35 Pages, 3 figures, references added
|
Phys. Rev. D 91, 103509 (2015)
|
10.1103/PhysRevD.91.103509
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A detection of primordial B-modes has been heralded not only as a smoking gun
for the existence of inflation, but also as a way to establish the scale at
which inflation took place. In this paper we critically reinvestigate the
connection between a detection of primordial gravity waves and the scale of
inflation. We consider whether the presence of additional fields and
non-adiabaticity during inflation may have provided an additional source of
primordial B-modes competitive with those of the quasi-de Sitter vacuum. In
particular, we examine whether the additional sources could provide the
dominant signal, which could lead to a misinterpretation of the scale of
inflation. In light of constraints on the level of non-Gaussianity coming from
Planck we find that only hidden sectors with strictly gravitationally strength
couplings provide a feasible mechanism. The required model building is somewhat
elaborate, and so we discuss possible UV completions in the context of Type IIB
orientifold compactifications with RR axions. We find that an embedding is
possible and that dangerous sinusoidal corrections can be suppressed through
the compactification geometry. Our main result is that even when additional
sources of primordial gravity waves are competitive with the inflaton, a
positive B-mode detection would still be a relatively good indicator of the
scale of inflation. This conclusion will be strengthened by future constraints
on both non-Gaussianity and CMB polarization.
|
[
{
"created": "Tue, 30 Sep 2014 20:00:12 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Nov 2014 05:10:01 GMT",
"version": "v2"
}
] |
2015-05-20
|
[
[
"Özsoy",
"Ogan",
""
],
[
"Sinha",
"Kuver",
""
],
[
"Watson",
"Scott",
""
]
] |
A detection of primordial B-modes has been heralded not only as a smoking gun for the existence of inflation, but also as a way to establish the scale at which inflation took place. In this paper we critically reinvestigate the connection between a detection of primordial gravity waves and the scale of inflation. We consider whether the presence of additional fields and non-adiabaticity during inflation may have provided an additional source of primordial B-modes competitive with those of the quasi-de Sitter vacuum. In particular, we examine whether the additional sources could provide the dominant signal, which could lead to a misinterpretation of the scale of inflation. In light of constraints on the level of non-Gaussianity coming from Planck we find that only hidden sectors with strictly gravitationally strength couplings provide a feasible mechanism. The required model building is somewhat elaborate, and so we discuss possible UV completions in the context of Type IIB orientifold compactifications with RR axions. We find that an embedding is possible and that dangerous sinusoidal corrections can be suppressed through the compactification geometry. Our main result is that even when additional sources of primordial gravity waves are competitive with the inflaton, a positive B-mode detection would still be a relatively good indicator of the scale of inflation. This conclusion will be strengthened by future constraints on both non-Gaussianity and CMB polarization.
| 8.440752
| 8.954488
| 8.571978
| 8.117239
| 9.296885
| 9.006102
| 8.94856
| 8.182552
| 8.635474
| 9.463616
| 8.693269
| 8.687376
| 8.339414
| 8.361316
| 8.604219
| 8.786457
| 8.378864
| 8.416553
| 8.183568
| 8.433515
| 8.303217
|
hep-th/0206055
|
J. Fernando Barbero G.
|
J. Fernando Barbero G., Eduardo J. S. Villase\~nor
|
Kinetic Terms for 2-Forms in Four Dimensions
|
20 pages, REVTEX, accepted for publication in Phys. Rev. D
|
Phys.Rev. D66 (2002) 045013
|
10.1103/PhysRevD.66.045013
| null |
hep-th
| null |
We study the general form of the possible kinetic terms for 2-form fields in
four dimensions, under the restriction that they have a semibounded energy
density. This is done by using covariant symplectic techniques and generalizes
previous partial results in this direction.
|
[
{
"created": "Fri, 7 Jun 2002 07:40:26 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"G.",
"J. Fernando Barbero",
""
],
[
"Villaseñor",
"Eduardo J. S.",
""
]
] |
We study the general form of the possible kinetic terms for 2-form fields in four dimensions, under the restriction that they have a semibounded energy density. This is done by using covariant symplectic techniques and generalizes previous partial results in this direction.
| 14.639201
| 12.248104
| 12.964747
| 12.167629
| 12.047433
| 10.983438
| 10.701612
| 13.40185
| 12.62748
| 13.715472
| 11.924511
| 11.435947
| 13.235337
| 12.226373
| 12.746447
| 11.894801
| 12.168429
| 11.61345
| 12.1264
| 12.038213
| 12.082523
|
hep-th/0001014
|
Franz-Marc Boas
|
Franz-Marc Boas
|
Gauge theories in local causal perturbation theory
|
PhD thesis, 84 pages
| null | null |
DESY-THESIS-1999-032, ISSN 1435-8085
|
hep-th
| null |
In this thesis quantum gauge theories are considered in the framework of
local, causal perturbation theory. Gauge invariance is described in terms of
the BRS formalism. Local interacting field operators are constructed
perturbatively and field equations are established. A nilpotent BRS
transformation is defined on the local algebra of fields. It allows the
definition of the algebra of local observables as an operator cohomology. This
algebra of local observables can be represented in a Hilbert space.
The interacting field operators are defined in terms of time ordered products
of free field operators. For the results above to hold the time ordered
products must satisfy certain normalization conditions. To formulate these
conditions also for field operators that contain a spacetime derivative a
suitable mathematical description of time ordered products is developed.
Among the normalization conditions are Ward identities for the ghost current
and the BRS current. The latter are generalizations of a normalization
condition that is postulated by D"utsch, Hurth, Krahe and Scharf for Yang-Mills
theory. It is not yet proven that this condition has a solution in every order.
All other normalization conditions can be accomplished simultaneously.
A principle for the correspondence between interacting quantum fields and
interacting classical fields is established. Quantum electrodynamics and
Yang-Mills theory are examined and the results are compared with the
literature.
|
[
{
"created": "Tue, 4 Jan 2000 16:00:54 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Boas",
"Franz-Marc",
""
]
] |
In this thesis quantum gauge theories are considered in the framework of local, causal perturbation theory. Gauge invariance is described in terms of the BRS formalism. Local interacting field operators are constructed perturbatively and field equations are established. A nilpotent BRS transformation is defined on the local algebra of fields. It allows the definition of the algebra of local observables as an operator cohomology. This algebra of local observables can be represented in a Hilbert space. The interacting field operators are defined in terms of time ordered products of free field operators. For the results above to hold the time ordered products must satisfy certain normalization conditions. To formulate these conditions also for field operators that contain a spacetime derivative a suitable mathematical description of time ordered products is developed. Among the normalization conditions are Ward identities for the ghost current and the BRS current. The latter are generalizations of a normalization condition that is postulated by D"utsch, Hurth, Krahe and Scharf for Yang-Mills theory. It is not yet proven that this condition has a solution in every order. All other normalization conditions can be accomplished simultaneously. A principle for the correspondence between interacting quantum fields and interacting classical fields is established. Quantum electrodynamics and Yang-Mills theory are examined and the results are compared with the literature.
| 11.148473
| 12.68447
| 11.968548
| 10.903165
| 11.574478
| 12.31879
| 12.088738
| 10.518427
| 11.217045
| 12.513672
| 10.913079
| 10.162571
| 10.743764
| 10.707483
| 10.593455
| 10.628202
| 10.948081
| 10.508717
| 10.23638
| 11.050239
| 10.105733
|
1804.04045
|
Kimball A. Milton
|
Prachi Parashar, Kimball A. Milton, Yang Li, Hannah Day, Xin Guo,
Stephen A. Fulling, and Ines Cavero-Pelaez
|
Quantum Electromagnetic Stress Tensor in an Inhomogeneous Medium
|
24 pages, 6 figures
|
Phys. Rev. D 97, 125009 (2018)
|
10.1103/PhysRevD.97.125009
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Continuing a program of examining the behavior of the vacuum expectation
value of the stress tensor in a background which varies only in a single
direction, we here study the electromagnetic stress tensor in a medium with
permittivity depending on a single spatial coordinate, specifically, a planar
dielectric half-space facing a vacuum region. There are divergences occurring
that are regulated by temporal and spatial point-splitting, which have a
universal character for both transverse electric and transverse magnetic modes.
The nature of the divergences depends on the model of dispersion adopted. And
there are singularities occurring at the edge between the dielectric and vacuum
regions, which also have a universal character, depending on the structure of
the discontinuities in the material properties there. Remarks are offered
concerning renormalization of such models, and the significance of the stress
tensor. The ambiguity in separating "bulk" and "scattering" parts of the stress
tensor is discussed.
|
[
{
"created": "Wed, 11 Apr 2018 15:24:28 GMT",
"version": "v1"
}
] |
2018-06-20
|
[
[
"Parashar",
"Prachi",
""
],
[
"Milton",
"Kimball A.",
""
],
[
"Li",
"Yang",
""
],
[
"Day",
"Hannah",
""
],
[
"Guo",
"Xin",
""
],
[
"Fulling",
"Stephen A.",
""
],
[
"Cavero-Pelaez",
"Ines",
""
]
] |
Continuing a program of examining the behavior of the vacuum expectation value of the stress tensor in a background which varies only in a single direction, we here study the electromagnetic stress tensor in a medium with permittivity depending on a single spatial coordinate, specifically, a planar dielectric half-space facing a vacuum region. There are divergences occurring that are regulated by temporal and spatial point-splitting, which have a universal character for both transverse electric and transverse magnetic modes. The nature of the divergences depends on the model of dispersion adopted. And there are singularities occurring at the edge between the dielectric and vacuum regions, which also have a universal character, depending on the structure of the discontinuities in the material properties there. Remarks are offered concerning renormalization of such models, and the significance of the stress tensor. The ambiguity in separating "bulk" and "scattering" parts of the stress tensor is discussed.
| 10.240979
| 9.58937
| 10.247342
| 9.609939
| 9.648401
| 9.150512
| 9.585655
| 9.196743
| 9.15377
| 10.095573
| 9.583589
| 9.131707
| 9.175381
| 9.159106
| 9.123775
| 8.885118
| 9.17759
| 8.978277
| 9.450055
| 9.112468
| 9.439714
|
hep-th/0002035
|
Julia
|
B. Julia
|
Superdualities: Below and beyond U-duality
|
Based on talks delivered at Utrecht, Bures sur Yvette, Tel-Aviv and
Dubna to appear in Proceedings: ``Supersymmetries and Quantum Symmetries''
| null | null |
LPTENS-00/02
|
hep-th
| null |
Hidden symmetries are the backbone of Integrable two-dimensional theories.
They provide classical solutions of higher dimensional models as well, they
seem to survive partially quantisation and their discrete remnants in M-theory
called U-dualities, would provide a way to control infinities and
nonperturbative effects in Supergravities and String theories. Starting from
Einstein gravity we discuss the building blocks of these large groups of
internal symmetries, and embed them in superalgebras of dynamical symmetries.
The classical field equations for all bosonic matter fields of all toroidally
compactified supergravities are invariant under such ``superdualities''.
Possible extensions are briefly discussed.
|
[
{
"created": "Fri, 4 Feb 2000 13:08:34 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Julia",
"B.",
""
]
] |
Hidden symmetries are the backbone of Integrable two-dimensional theories. They provide classical solutions of higher dimensional models as well, they seem to survive partially quantisation and their discrete remnants in M-theory called U-dualities, would provide a way to control infinities and nonperturbative effects in Supergravities and String theories. Starting from Einstein gravity we discuss the building blocks of these large groups of internal symmetries, and embed them in superalgebras of dynamical symmetries. The classical field equations for all bosonic matter fields of all toroidally compactified supergravities are invariant under such ``superdualities''. Possible extensions are briefly discussed.
| 17.241621
| 17.842979
| 18.649141
| 16.539124
| 16.425476
| 19.236376
| 16.219687
| 16.481024
| 16.561321
| 17.993599
| 16.233437
| 15.642393
| 16.022638
| 15.931495
| 15.971538
| 15.898236
| 16.003626
| 15.550035
| 15.805106
| 15.592651
| 16.039864
|
hep-th/9506191
|
Sailer
|
K. Sailer, and W. Greiner
|
Renormalized finite temperature effective potential of $SU(2)$
Yang-Mills theory
|
46 pages, LATEX, 5 figures, figures available upon request,
(submitted to Wigner Memorial Vol. of Heavy-Ion Phys. (Acta Phys. Hung.))
| null |
10.1007/BF03053628
|
KLTE-DTP/1995/2
|
hep-th
| null |
It is shown that the renormalized finite temperature effective potential for
continuum $SU(2)$ Yang-Mills theory develops a non-perturbative minimum for
sufficiently strong coupling, i.e. below a critical temperature. The
corresponding phase can be the candidate for the confining phase of the
continuum theory and becomes energetically favoured basicly due to the decay of
the $A^0$ condensate into three gluons.
|
[
{
"created": "Thu, 29 Jun 1995 11:35:45 GMT",
"version": "v1"
}
] |
2022-02-23
|
[
[
"Sailer",
"K.",
""
],
[
"Greiner",
"W.",
""
]
] |
It is shown that the renormalized finite temperature effective potential for continuum $SU(2)$ Yang-Mills theory develops a non-perturbative minimum for sufficiently strong coupling, i.e. below a critical temperature. The corresponding phase can be the candidate for the confining phase of the continuum theory and becomes energetically favoured basicly due to the decay of the $A^0$ condensate into three gluons.
| 10.059216
| 10.406591
| 10.215442
| 9.168135
| 9.982801
| 10.82426
| 10.351373
| 9.805051
| 10.023911
| 9.776596
| 9.676888
| 9.559436
| 9.542643
| 9.71517
| 9.312873
| 9.696234
| 9.364601
| 9.755525
| 9.512513
| 9.714899
| 9.385942
|
2404.16230
|
Bekir Can L\"utf\"uo\u{g}lu
|
B. Hamil and B.C. L\"utf\"uo\u{g}lu
|
Pair creation in a space with spin noncommutativity of coordinates
|
12 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the Schwinger pair creation process for Dirac fermions in the
presence of a Volkov plane wave and a constant external electric field by
applying spin non-commutativity of coordinates. Using the Schwinger proper time
method, the probability of pair creation from vacuum is calculated precisely
and analytically. In the case of the Volkov plane wave, it is shown that the
probability is zero. However, for a constant electric field, the spin
noncommutativity of the coordinates contributes to the pair creation process
and affects the calculated probability.
|
[
{
"created": "Wed, 24 Apr 2024 22:05:02 GMT",
"version": "v1"
}
] |
2024-04-26
|
[
[
"Hamil",
"B.",
""
],
[
"Lütfüoğlu",
"B. C.",
""
]
] |
We study the Schwinger pair creation process for Dirac fermions in the presence of a Volkov plane wave and a constant external electric field by applying spin non-commutativity of coordinates. Using the Schwinger proper time method, the probability of pair creation from vacuum is calculated precisely and analytically. In the case of the Volkov plane wave, it is shown that the probability is zero. However, for a constant electric field, the spin noncommutativity of the coordinates contributes to the pair creation process and affects the calculated probability.
| 7.419128
| 7.3686
| 6.597103
| 6.987265
| 7.776273
| 8.146757
| 8.015073
| 7.286411
| 6.929595
| 7.638405
| 7.193064
| 7.058558
| 7.422513
| 7.060723
| 6.846647
| 7.059696
| 6.798586
| 6.996496
| 6.767766
| 7.250463
| 6.794975
|
1712.02233
|
Georgi Dvali
|
Gia Dvali
|
Area Law Micro-State Entropy from Criticality and Spherical Symmetry
|
7 pages
|
Phys. Rev. D 97, 105005 (2018)
|
10.1103/PhysRevD.97.105005
| null |
hep-th cond-mat.quant-gas gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is often assumed that the area law of micro-state entropy and the
holography are intrinsic properties exclusively of the gravitational systems,
such as black holes. We construct a non-gravitational model that exhibits an
entropy that scales as area of a sphere of one dimension less. It is
represented by a non-relativistic bosonic field living on a d-dimensional
sphere of radius R and experiencing an angular-momentum-dependent attractive
interaction. We show that the system possesses a quantum critical point with
the emergent gapless modes. Their number is equal to the area of a
(d-1)-dimensional sphere of the same radius R. These gapless modes create an
exponentially large number of degenerate micro-states with the corresponding
micro-state entropy given by the area of the same (d-1)-dimensional sphere.
Thanks to a double-scaling limit, the counting of the entropy and of the number
of the gapless modes is made exact. The phenomenon takes place for arbitrary
number of dimensions and can be viewed as a version of holography.
|
[
{
"created": "Wed, 6 Dec 2017 15:34:42 GMT",
"version": "v1"
}
] |
2018-05-16
|
[
[
"Dvali",
"Gia",
""
]
] |
It is often assumed that the area law of micro-state entropy and the holography are intrinsic properties exclusively of the gravitational systems, such as black holes. We construct a non-gravitational model that exhibits an entropy that scales as area of a sphere of one dimension less. It is represented by a non-relativistic bosonic field living on a d-dimensional sphere of radius R and experiencing an angular-momentum-dependent attractive interaction. We show that the system possesses a quantum critical point with the emergent gapless modes. Their number is equal to the area of a (d-1)-dimensional sphere of the same radius R. These gapless modes create an exponentially large number of degenerate micro-states with the corresponding micro-state entropy given by the area of the same (d-1)-dimensional sphere. Thanks to a double-scaling limit, the counting of the entropy and of the number of the gapless modes is made exact. The phenomenon takes place for arbitrary number of dimensions and can be viewed as a version of holography.
| 7.33933
| 6.91025
| 7.004911
| 6.803781
| 6.769582
| 7.199238
| 7.16618
| 7.04236
| 6.880173
| 8.603025
| 6.753405
| 6.969215
| 7.08682
| 6.902917
| 7.030641
| 7.293995
| 6.989566
| 7.013389
| 7.146616
| 7.232355
| 6.867156
|
1104.3043
|
Roberto Casadio
|
G.L. Alberghi, R. Casadio, O. Micu, A. Orlandi
|
Brane-world black holes and the scale of gravity
|
4 pages, no figure
| null |
10.1007/JHEP09(2011)023
| null |
hep-th astro-ph.HE gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A particle in four dimensions should behave like a classical black hole if
the horizon radius is larger than the Compton wavelength or, equivalently, if
its degeneracy (measured by entropy in units of the Planck scale) is large. For
spherically symmetric black holes in 4 + d dimensions, both arguments again
lead to a mass threshold MC and degeneracy scale Mdeg of the order of the
fundamental scale of gravity MG. In the brane-world, deviations from the
Schwarzschild metric induced by bulk effects alter the horizon radius and
effective four-dimensional Euclidean action in such a way that MC \simeq Mdeg
might be either larger or smaller than MG. This opens up the possibility that
black holes exist with a mass smaller than MG and might be produced at the LHC
even if M>10 TeV, whereas effects due to bulk graviton exchanges remain
undetectable because suppressed by inverse powers of MG. Conversely, even if
black holes are not found at the LHC, it is still possible that MC>MG and MG
\simeq 1TeV.
|
[
{
"created": "Fri, 15 Apr 2011 13:10:31 GMT",
"version": "v1"
}
] |
2015-05-27
|
[
[
"Alberghi",
"G. L.",
""
],
[
"Casadio",
"R.",
""
],
[
"Micu",
"O.",
""
],
[
"Orlandi",
"A.",
""
]
] |
A particle in four dimensions should behave like a classical black hole if the horizon radius is larger than the Compton wavelength or, equivalently, if its degeneracy (measured by entropy in units of the Planck scale) is large. For spherically symmetric black holes in 4 + d dimensions, both arguments again lead to a mass threshold MC and degeneracy scale Mdeg of the order of the fundamental scale of gravity MG. In the brane-world, deviations from the Schwarzschild metric induced by bulk effects alter the horizon radius and effective four-dimensional Euclidean action in such a way that MC \simeq Mdeg might be either larger or smaller than MG. This opens up the possibility that black holes exist with a mass smaller than MG and might be produced at the LHC even if M>10 TeV, whereas effects due to bulk graviton exchanges remain undetectable because suppressed by inverse powers of MG. Conversely, even if black holes are not found at the LHC, it is still possible that MC>MG and MG \simeq 1TeV.
| 10.560663
| 12.295089
| 10.636598
| 10.001809
| 11.755054
| 12.003386
| 11.700526
| 10.708621
| 10.074664
| 12.379241
| 10.698894
| 10.381778
| 10.266961
| 10.053779
| 10.310163
| 10.382501
| 10.992241
| 10.490415
| 10.138646
| 10.782459
| 10.269875
|
1201.3604
|
Gabriele Honecker
|
Gabriele Honecker and Joris Vanhoof
|
Yukawa couplings and masses of non-chiral states for the Standard Model
on D6-branes on T6/Z6'
|
52 pages (including 8p. appendix); 5 figures; 14 tables; v2:
discussion in section 4.1.3 extended, footnote 5 added, typos corrected,
accepted by JHEP
| null |
10.1007/JHEP04(2012)085
|
MZ-TH/12-04
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The perturbative leading order open string three-point couplings for the
Standard Model with hidden USp(6) on fractional D6-branes on T6/Z6' from
arXiv:0806.3039 [hep-th], arXiv:0910.0843 [hep-th] are computed. Physical
Yukawa couplings consisting of holomorphic Wilsonian superpotential terms times
a non-holomorphic prefactor involving the corresponding classical open string
Kaehler metrics are given, and mass terms for all non-chiral matter states are
derived. The lepton Yukawa interactions are at leading order flavour diagonal,
while the quark sector displays a more intricate pattern of mixings. While N=2
supersymmetric sectors acquire masses via only two D6-brane displacements -
which also provide the hierarchies between up- and down-type Yukawas within one
quark or lepton generation -, the remaining vector-like states receive masses
via perturbative three-point couplings to some Standard Model singlet fields
with vevs along flat directions. Couplings to the hidden sector and messengers
for supersymmetry breaking are briefly discussed.
|
[
{
"created": "Tue, 17 Jan 2012 20:10:47 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Mar 2012 12:34:36 GMT",
"version": "v2"
}
] |
2015-06-03
|
[
[
"Honecker",
"Gabriele",
""
],
[
"Vanhoof",
"Joris",
""
]
] |
The perturbative leading order open string three-point couplings for the Standard Model with hidden USp(6) on fractional D6-branes on T6/Z6' from arXiv:0806.3039 [hep-th], arXiv:0910.0843 [hep-th] are computed. Physical Yukawa couplings consisting of holomorphic Wilsonian superpotential terms times a non-holomorphic prefactor involving the corresponding classical open string Kaehler metrics are given, and mass terms for all non-chiral matter states are derived. The lepton Yukawa interactions are at leading order flavour diagonal, while the quark sector displays a more intricate pattern of mixings. While N=2 supersymmetric sectors acquire masses via only two D6-brane displacements - which also provide the hierarchies between up- and down-type Yukawas within one quark or lepton generation -, the remaining vector-like states receive masses via perturbative three-point couplings to some Standard Model singlet fields with vevs along flat directions. Couplings to the hidden sector and messengers for supersymmetry breaking are briefly discussed.
| 14.374134
| 14.157946
| 15.181615
| 12.110949
| 13.740819
| 13.39876
| 11.486918
| 11.840179
| 12.394785
| 16.585884
| 12.099664
| 12.299824
| 12.687504
| 12.481603
| 13.010806
| 12.64707
| 13.004783
| 12.628221
| 12.542397
| 13.327542
| 13.13954
|
1604.08765
|
Esperanza Lopez
|
Emilia da Silva, Esperanza Lopez, Javier Mas and Alexandre Serantes
|
Holographic Quenches with a Gap
|
19 pages, 17 figures
| null |
10.1007/JHEP06(2016)172
|
IFT-UAM/CSIC-16-039
|
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In order to holographically model quenches with a gapped final hamiltonian,
we consider a gravity-scalar theory in anti-de Sitter space with an infrared
hard wall. We allow a time dependent profile for the scalar field at the wall.
This induces an energy exchange between bulk and wall and generates an
oscillating scalar pulse. We argue that such backgrounds are the counterpart of
quantum revivals in the dual field theory. We perform a qualitative comparison
with the quench dynamics of the massive Schwinger model, which has been
recently analyzed using tensor network techniques. Agreement is found provided
the width of the oscillating scalar pulse is inversely linked to the energy
density communicated by the quench. We propose this to be a general feature of
holographic quenches.
|
[
{
"created": "Fri, 29 Apr 2016 10:29:33 GMT",
"version": "v1"
}
] |
2016-07-20
|
[
[
"da Silva",
"Emilia",
""
],
[
"Lopez",
"Esperanza",
""
],
[
"Mas",
"Javier",
""
],
[
"Serantes",
"Alexandre",
""
]
] |
In order to holographically model quenches with a gapped final hamiltonian, we consider a gravity-scalar theory in anti-de Sitter space with an infrared hard wall. We allow a time dependent profile for the scalar field at the wall. This induces an energy exchange between bulk and wall and generates an oscillating scalar pulse. We argue that such backgrounds are the counterpart of quantum revivals in the dual field theory. We perform a qualitative comparison with the quench dynamics of the massive Schwinger model, which has been recently analyzed using tensor network techniques. Agreement is found provided the width of the oscillating scalar pulse is inversely linked to the energy density communicated by the quench. We propose this to be a general feature of holographic quenches.
| 10.804307
| 10.30931
| 12.017328
| 10.190739
| 10.993433
| 10.097243
| 9.837423
| 10.143337
| 9.890907
| 12.407043
| 10.055923
| 9.659431
| 10.102198
| 9.989666
| 9.919039
| 9.71486
| 9.884105
| 9.808639
| 10.08132
| 10.412345
| 9.760899
|
hep-th/0205181
|
Miloslav Znojil
|
Miloslav Znojil, Frantisek Gemperle and Omar Mustafa
|
Asymptotic solvability of an imaginary cubic oscillator with spikes
|
20 pages and 2 figures
|
J.Phys.A35:5781-5793,2002
|
10.1088/0305-4470/35/27/317
| null |
hep-th
| null |
For the PT symmetric potential of Dorey, Dunning and Tateo we show that in
the large angular momentum (i.e., strongly spiked) limit the low-lying
eigenstates of this popular non-Hermitian problem coincide with the shifted
Hermitian harmonic oscillators calculated at the zero angular momentum. This
type of an approximate Hermitization is valid in all the domain where the
spectrum of energies remains real. It proves very efficient numerically. The
construction is asymmetric with respect to the sign of the subdominant
square-root spike, and exhibits a discontinuity at the point where the PT
symmetric regularization vanishes.
|
[
{
"created": "Fri, 17 May 2002 14:18:06 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Znojil",
"Miloslav",
""
],
[
"Gemperle",
"Frantisek",
""
],
[
"Mustafa",
"Omar",
""
]
] |
For the PT symmetric potential of Dorey, Dunning and Tateo we show that in the large angular momentum (i.e., strongly spiked) limit the low-lying eigenstates of this popular non-Hermitian problem coincide with the shifted Hermitian harmonic oscillators calculated at the zero angular momentum. This type of an approximate Hermitization is valid in all the domain where the spectrum of energies remains real. It proves very efficient numerically. The construction is asymmetric with respect to the sign of the subdominant square-root spike, and exhibits a discontinuity at the point where the PT symmetric regularization vanishes.
| 19.155922
| 18.577383
| 22.426537
| 19.815516
| 19.582884
| 20.605776
| 22.210606
| 18.854738
| 19.745232
| 24.460524
| 19.167221
| 17.418896
| 17.688696
| 16.988821
| 17.13044
| 16.786549
| 16.965178
| 17.23424
| 16.504848
| 17.252842
| 17.048452
|
hep-th/0106058
|
Gregory Gabadadze
|
Gia Dvali, Gregory Gabadadze, Marko Kolanovic, Francesco Nitti
|
Scales of Gravity
|
51 pages; 7 ps figures; v2 minor improvements
|
Phys.Rev.D65:024031,2002
|
10.1103/PhysRevD.65.024031
|
NYU-TH-01/06/03; TPI-MINN-01/26
|
hep-th hep-ph
| null |
We propose a framework in which the quantum gravity scale can be as low as
$10^{-3}$ eV. The key assumption is that the Standard Model ultraviolet cutoff
is much higher than the quantum gravity scale. This ensures that we observe
conventional weak gravity. We construct an explicit brane-world model in which
the brane-localized Standard Model is coupled to strong 5D gravity of
infinite-volume flat extra space. Due to the high ultraviolet scale, the
Standard Model fields generate a large graviton kinetic term on the brane. This
kinetic term ``shields'' the Standard Model from the strong bulk gravity. As a
result, an observer on the brane sees weak 4D gravity up to astronomically
large distances beyond which gravity becomes five-dimensional. Modeling quantum
gravity above its scale by the closed string spectrum we show that the
shielding phenomenon protects the Standard Model from an apparent
phenomenological catastrophe due to the exponentially large number of light
string states. The collider experiments, astrophysics, cosmology and gravity
measurements {\it independently} point to the same lower bound on the quantum
gravity scale, $10^{-3}$ eV. For this value the model has experimental
signatures both for colliders and for sub-millimeter gravity measurements.
Black holes reveal certain interesting properties in this framework.
|
[
{
"created": "Thu, 7 Jun 2001 05:21:27 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Jul 2001 23:36:08 GMT",
"version": "v2"
}
] |
2010-04-06
|
[
[
"Dvali",
"Gia",
""
],
[
"Gabadadze",
"Gregory",
""
],
[
"Kolanovic",
"Marko",
""
],
[
"Nitti",
"Francesco",
""
]
] |
We propose a framework in which the quantum gravity scale can be as low as $10^{-3}$ eV. The key assumption is that the Standard Model ultraviolet cutoff is much higher than the quantum gravity scale. This ensures that we observe conventional weak gravity. We construct an explicit brane-world model in which the brane-localized Standard Model is coupled to strong 5D gravity of infinite-volume flat extra space. Due to the high ultraviolet scale, the Standard Model fields generate a large graviton kinetic term on the brane. This kinetic term ``shields'' the Standard Model from the strong bulk gravity. As a result, an observer on the brane sees weak 4D gravity up to astronomically large distances beyond which gravity becomes five-dimensional. Modeling quantum gravity above its scale by the closed string spectrum we show that the shielding phenomenon protects the Standard Model from an apparent phenomenological catastrophe due to the exponentially large number of light string states. The collider experiments, astrophysics, cosmology and gravity measurements {\it independently} point to the same lower bound on the quantum gravity scale, $10^{-3}$ eV. For this value the model has experimental signatures both for colliders and for sub-millimeter gravity measurements. Black holes reveal certain interesting properties in this framework.
| 7.700274
| 9.045996
| 7.973277
| 8.018209
| 8.360519
| 8.125555
| 8.395924
| 8.354843
| 8.156363
| 8.563153
| 7.933751
| 8.19733
| 7.908234
| 7.915493
| 7.81619
| 8.0796
| 8.052115
| 7.947542
| 8.08484
| 8.060494
| 7.98646
|
hep-th/9911247
|
Ivangoe Pestov
|
I.B. Pestov
|
K\"ahler Fermions on the Weitzenb\"ock space-time
|
LATeX, 7 pages, no figures and tables
| null | null |
JINR E2-96-423
|
hep-th
| null |
The K\"ahler-Dirac equation is derived on the Weitzenb\"ock space-time, which
has a quadruplet of parallel vector fields as the fundamental structure. A
consistent system of equations for the K\"ahler fields and parallel vector
fields is obtained.
Key words: teleparallelism, fermions, internal symmetry, equations.
|
[
{
"created": "Tue, 30 Nov 1999 08:32:49 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Pestov",
"I. B.",
""
]
] |
The K\"ahler-Dirac equation is derived on the Weitzenb\"ock space-time, which has a quadruplet of parallel vector fields as the fundamental structure. A consistent system of equations for the K\"ahler fields and parallel vector fields is obtained. Key words: teleparallelism, fermions, internal symmetry, equations.
| 14.369559
| 12.745386
| 9.945037
| 10.495451
| 10.922953
| 14.879456
| 13.200637
| 10.25274
| 11.000465
| 12.331318
| 12.134336
| 11.48628
| 10.269111
| 10.590549
| 10.33049
| 11.926279
| 11.050935
| 10.900779
| 11.161395
| 9.988184
| 11.443674
|
hep-th/9509096
|
Henrik Aratyn
|
H. Aratyn, L.A. Ferreira, J.F. Gomes and A.H. Zimerman
|
Constrained KP Models as Integrable Matrix Hierarchies
|
LaTeX, 19 pgs
|
J.Math.Phys.38:1559-1576,1997
|
10.1063/1.531908
|
IFT-P/041/95, UICHEP-TH/95-9
|
hep-th nlin.SI solv-int
| null |
We formulate the constrained KP hierarchy (denoted by \cKP$_{K+1,M}$) as an
affine ${\widehat {sl}} (M+K+1)$ matrix integrable hierarchy generalizing the
Drinfeld-Sokolov hierarchy. Using an algebraic approach, including the graded
structure of the generalized Drinfeld-Sokolov hierarchy, we are able to find
several new universal results valid for the \cKP hierarchy. In particular, our
method yields a closed expression for the second bracket obtained through Dirac
reduction of any untwisted affine Kac-Moody current algebra. An explicit
example is given for the case ${\widehat {sl}} (M+K+1)$, for which a closed
expression for the general recursion operator is also obtained. We show how
isospectral flows are characterized and grouped according to the semisimple
{\em non-regular} element $E$ of $sl (M+K+1)$ and the content of the center of
the kernel of $E$.
|
[
{
"created": "Fri, 15 Sep 1995 21:29:32 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Aratyn",
"H.",
""
],
[
"Ferreira",
"L. A.",
""
],
[
"Gomes",
"J. F.",
""
],
[
"Zimerman",
"A. H.",
""
]
] |
We formulate the constrained KP hierarchy (denoted by \cKP$_{K+1,M}$) as an affine ${\widehat {sl}} (M+K+1)$ matrix integrable hierarchy generalizing the Drinfeld-Sokolov hierarchy. Using an algebraic approach, including the graded structure of the generalized Drinfeld-Sokolov hierarchy, we are able to find several new universal results valid for the \cKP hierarchy. In particular, our method yields a closed expression for the second bracket obtained through Dirac reduction of any untwisted affine Kac-Moody current algebra. An explicit example is given for the case ${\widehat {sl}} (M+K+1)$, for which a closed expression for the general recursion operator is also obtained. We show how isospectral flows are characterized and grouped according to the semisimple {\em non-regular} element $E$ of $sl (M+K+1)$ and the content of the center of the kernel of $E$.
| 10.061563
| 10.943404
| 10.849622
| 9.245708
| 9.906973
| 9.624465
| 9.937293
| 9.409284
| 9.264491
| 11.421917
| 9.571173
| 9.40165
| 9.664361
| 9.177585
| 9.511088
| 9.693649
| 9.025757
| 9.419216
| 9.3364
| 10.291074
| 9.579747
|
1712.10071
|
Paul K. Townsend
|
Eric A. Bergshoeff, Jan Rosseel, Paul K. Townsend
|
Gravity and the spin-2 planar Schroedinger equation
|
5 pages. Additional references, with discussion, in v2, plus improved
analysis of parity violation
|
Phys. Rev. Lett. 120, 141601 (2018)
|
10.1103/PhysRevLett.120.141601
|
DAMTP-2017-47
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A Schroedinger equation proposed for the GMP gapped spin-2 mode of fractional
Quantum Hall states is found from a novel non-relativistic limit, applicable
only in 2+1 dimensions, of the massive spin-2 Fierz-Pauli field equations. It
is also found from a novel null reduction of the linearized Einstein field
equations in 3+1 dimensions, and in this context a uniform distribution of
spin-2 particles implies, via a Brinkmann-wave solution of the non-linear
Einstein equations, a confining harmonic oscillator potential for the
individual particles.
|
[
{
"created": "Thu, 28 Dec 2017 22:19:55 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Mar 2018 22:33:21 GMT",
"version": "v2"
}
] |
2018-04-11
|
[
[
"Bergshoeff",
"Eric A.",
""
],
[
"Rosseel",
"Jan",
""
],
[
"Townsend",
"Paul K.",
""
]
] |
A Schroedinger equation proposed for the GMP gapped spin-2 mode of fractional Quantum Hall states is found from a novel non-relativistic limit, applicable only in 2+1 dimensions, of the massive spin-2 Fierz-Pauli field equations. It is also found from a novel null reduction of the linearized Einstein field equations in 3+1 dimensions, and in this context a uniform distribution of spin-2 particles implies, via a Brinkmann-wave solution of the non-linear Einstein equations, a confining harmonic oscillator potential for the individual particles.
| 12.592134
| 11.233354
| 12.307829
| 11.661534
| 11.233571
| 12.177116
| 9.851238
| 10.436196
| 10.788155
| 13.007778
| 10.735901
| 11.194655
| 11.573694
| 10.916405
| 11.061383
| 11.451136
| 11.021152
| 10.862188
| 11.083207
| 11.904007
| 11.110359
|
hep-th/0512281
|
Pietro Menotti
|
Pietro Menotti
|
Semiclassical and quantum Liouville theory
|
12 pages, 1 figure, Contributed to 5th Meeting on Constrained
Dynamics and Quantum Gravity (QG05), Cala Gonone, Sardinia, Italy, 12-16 Sep
2005
|
J.Phys.Conf.Ser. 33 (2006) 26-37
|
10.1088/1742-6596/33/1/003
|
IFUP-TH/2005-04
|
hep-th
| null |
We develop a functional integral approach to quantum Liouville field theory
completely independent of the hamiltonian approach. To this end on the sphere
topology we solve the Riemann-Hilbert problem for three singularities of finite
strength and a fourth one infinitesimal, by determining perturbatively the
Poincare' accessory parameters. This provides the semiclassical four point
vertex function with three finite charges and a fourth infinitesimal. Some of
the results are extended to the case of n finite charges and m infinitesimal.
With the same technique we compute the exact Green function on the sphere on
the background of three finite singularities. Turning to the full quantum
problem we address the calculation of the quantum determinant on the background
of three finite charges and of the further perturbative corrections. The zeta
function regularization provides a theory which is not invariant under local
conformal transformations. Instead by employing a regularization suggested in
the case of the pseudosphere by Zamolodchikov and Zamolodchikov we obtain the
correct quantum conformal dimensions from the one loop calculation and we show
explicitly that the two loop corrections do not change such dimensions. We then
apply the method to the case of the pseudosphere with one finite singularity
and compute the exact value for the quantum determinant. Such results are
compared to those of the conformal bootstrap approach finding complete
agreement.
|
[
{
"created": "Thu, 22 Dec 2005 09:04:21 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Menotti",
"Pietro",
""
]
] |
We develop a functional integral approach to quantum Liouville field theory completely independent of the hamiltonian approach. To this end on the sphere topology we solve the Riemann-Hilbert problem for three singularities of finite strength and a fourth one infinitesimal, by determining perturbatively the Poincare' accessory parameters. This provides the semiclassical four point vertex function with three finite charges and a fourth infinitesimal. Some of the results are extended to the case of n finite charges and m infinitesimal. With the same technique we compute the exact Green function on the sphere on the background of three finite singularities. Turning to the full quantum problem we address the calculation of the quantum determinant on the background of three finite charges and of the further perturbative corrections. The zeta function regularization provides a theory which is not invariant under local conformal transformations. Instead by employing a regularization suggested in the case of the pseudosphere by Zamolodchikov and Zamolodchikov we obtain the correct quantum conformal dimensions from the one loop calculation and we show explicitly that the two loop corrections do not change such dimensions. We then apply the method to the case of the pseudosphere with one finite singularity and compute the exact value for the quantum determinant. Such results are compared to those of the conformal bootstrap approach finding complete agreement.
| 10.171397
| 10.637093
| 11.682105
| 10.064113
| 10.009821
| 10.482726
| 10.204571
| 10.924718
| 10.572103
| 11.953704
| 10.61834
| 10.454662
| 10.632179
| 10.14795
| 10.346187
| 10.124082
| 10.30443
| 10.136762
| 10.178151
| 10.682528
| 10.121221
|
1712.09994
|
Junjie Rao
|
Yang An, Yi Li, Zhinan Li, Junjie Rao
|
All-loop Mondrian Diagrammatics and 4-particle Amplituhedron
|
41 pages, 44 figures, 2 appendices. Figures improved for v3
|
JHEP 1806 (2018) 023
|
10.1007/JHEP06(2018)023
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Based on 1712.09990 which handles the 4-particle amplituhedron at 3-loop, we
have found an extremely simple pattern, yet far more non-trivial than one might
naturally expect: the all-loop Mondrian diagrammatics. By further simplifying
and rephrasing the key relation of positivity in the amplituhedron setting,
remarkably, we find a completeness relation unifying all diagrams of the
Mondrian types for the 4-particle integrand of planar N=4 SYM to all loop
orders, each of which can be mapped to a simple product following a few plain
rules designed for this relation. The explicit examples we investigate span
from 3-loop to 7-loop order, and based on them, we classify the basic patterns
of Mondrian diagrams into four types: the ladder, cross, brick-wall and spiral
patterns. Interestingly, for some special combinations of ordered subspaces (a
concept defined in the previous work), we find failed exceptions of the
completeness relation which are called "anomalies", nevertheless, they
substantially give hints on the all-loop recursive proof of this relation.
These investigations are closely related to the combinatoric knowledge of
separable permutations and Schroeder numbers, and go even further from a
diagrammatic perspective. For physical relevance, we need to further consider
dual conformal invariance for two basic diagrammatic patterns to correct the
numerator for a local integrand involving one or both of such patterns, while
the denominator encoding its pole structure and also the sign factor, are
already fixed by rules of the completeness relation. With this extra treatment
to ensure the integrals are dual conformally invariant, each Mondrian diagram
can be exactly translated to its corresponding physical loop integrand after
being summed over all ordered subspaces that admit it.
|
[
{
"created": "Thu, 28 Dec 2017 18:54:47 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Jun 2018 11:14:11 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Jun 2018 17:08:27 GMT",
"version": "v3"
}
] |
2018-06-21
|
[
[
"An",
"Yang",
""
],
[
"Li",
"Yi",
""
],
[
"Li",
"Zhinan",
""
],
[
"Rao",
"Junjie",
""
]
] |
Based on 1712.09990 which handles the 4-particle amplituhedron at 3-loop, we have found an extremely simple pattern, yet far more non-trivial than one might naturally expect: the all-loop Mondrian diagrammatics. By further simplifying and rephrasing the key relation of positivity in the amplituhedron setting, remarkably, we find a completeness relation unifying all diagrams of the Mondrian types for the 4-particle integrand of planar N=4 SYM to all loop orders, each of which can be mapped to a simple product following a few plain rules designed for this relation. The explicit examples we investigate span from 3-loop to 7-loop order, and based on them, we classify the basic patterns of Mondrian diagrams into four types: the ladder, cross, brick-wall and spiral patterns. Interestingly, for some special combinations of ordered subspaces (a concept defined in the previous work), we find failed exceptions of the completeness relation which are called "anomalies", nevertheless, they substantially give hints on the all-loop recursive proof of this relation. These investigations are closely related to the combinatoric knowledge of separable permutations and Schroeder numbers, and go even further from a diagrammatic perspective. For physical relevance, we need to further consider dual conformal invariance for two basic diagrammatic patterns to correct the numerator for a local integrand involving one or both of such patterns, while the denominator encoding its pole structure and also the sign factor, are already fixed by rules of the completeness relation. With this extra treatment to ensure the integrals are dual conformally invariant, each Mondrian diagram can be exactly translated to its corresponding physical loop integrand after being summed over all ordered subspaces that admit it.
| 19.835014
| 21.264717
| 20.704107
| 19.92626
| 21.313318
| 21.707771
| 21.986986
| 21.84584
| 20.645267
| 24.345779
| 19.664471
| 18.927589
| 19.456467
| 18.994841
| 19.297691
| 18.886925
| 19.456503
| 18.87937
| 19.038702
| 20.137369
| 19.065693
|
1105.5825
|
{\Dj}or{\dj}e Radi\v{c}evi\'c
|
Djordje Radicevic
|
Connecting the Holographic and Wilsonian Renormalization Groups
|
11 pages, 1 figure; metadata modified in v2; added references and
minor changes in v3; v4 as published in JHEP
|
JHEP 1112:023, 2011
|
10.1007/JHEP12(2011)023
|
PUPT-2379
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Inspired by the AdS/CFT correspondence, we develop an explicit formal duality
between the planar limit of a d-dimensional gauge theory and a classical field
theory in a (d+1)-dimensional anti-de Sitter space. The key ingredient is the
identification of fields in AdS with generalized Hubbard-Stratonovich
transforms of single-trace couplings of the QFT. We show that the Wilsonian
renormalization group flow of these transformed couplings matches the
holographic (Hamilton-Jacobi) flow of bulk fields along the radial direction in
AdS. This result allows one to outline an AdS/CFT dictionary that does not rely
on string theory.
|
[
{
"created": "Sun, 29 May 2011 21:00:11 GMT",
"version": "v1"
},
{
"created": "Tue, 31 May 2011 04:21:45 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Jul 2011 11:20:46 GMT",
"version": "v3"
},
{
"created": "Tue, 21 Feb 2012 02:43:06 GMT",
"version": "v4"
}
] |
2012-02-22
|
[
[
"Radicevic",
"Djordje",
""
]
] |
Inspired by the AdS/CFT correspondence, we develop an explicit formal duality between the planar limit of a d-dimensional gauge theory and a classical field theory in a (d+1)-dimensional anti-de Sitter space. The key ingredient is the identification of fields in AdS with generalized Hubbard-Stratonovich transforms of single-trace couplings of the QFT. We show that the Wilsonian renormalization group flow of these transformed couplings matches the holographic (Hamilton-Jacobi) flow of bulk fields along the radial direction in AdS. This result allows one to outline an AdS/CFT dictionary that does not rely on string theory.
| 6.979309
| 6.356566
| 7.196587
| 6.33878
| 6.647105
| 6.803334
| 6.268822
| 6.034994
| 6.186961
| 7.89866
| 6.342331
| 6.434706
| 6.847814
| 6.487336
| 6.794067
| 6.425117
| 6.41837
| 6.210113
| 6.4882
| 6.815016
| 6.353099
|
hep-th/0411087
|
Ahmad Ghodsi
|
Mohsen Alishahiha, Ahmad Ghodsi and Amir E. Mosaffa
|
On Isolated Conformal Fixed Points and Noncritical String Theory
|
17 pages, Latex file
|
JHEP0501:017,2005
|
10.1088/1126-6708/2005/01/017
|
IPM/P-2004/066
|
hep-th
| null |
We search for the gravity description of unidentified field theories at their
conformal fixed points by studying the low energy effective action of six
dimensional noncritical string theory. We find constant dilaton solutions by
solving both the equations of motion and BPS equations. Our solutions include a
free parameter provided by a stack of uncharged space filling branes. We find
several AdS_p\times S^q solutions with constant radii for AdS_p and S^q. The
curvature of the solutions are of the order of the string scale.
|
[
{
"created": "Mon, 8 Nov 2004 13:17:27 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Alishahiha",
"Mohsen",
""
],
[
"Ghodsi",
"Ahmad",
""
],
[
"Mosaffa",
"Amir E.",
""
]
] |
We search for the gravity description of unidentified field theories at their conformal fixed points by studying the low energy effective action of six dimensional noncritical string theory. We find constant dilaton solutions by solving both the equations of motion and BPS equations. Our solutions include a free parameter provided by a stack of uncharged space filling branes. We find several AdS_p\times S^q solutions with constant radii for AdS_p and S^q. The curvature of the solutions are of the order of the string scale.
| 13.754759
| 12.17907
| 16.105875
| 12.293945
| 14.209987
| 12.297622
| 13.425758
| 12.851354
| 12.872532
| 17.343817
| 12.724452
| 13.13979
| 14.206745
| 13.846602
| 13.114888
| 13.869324
| 13.709863
| 12.963777
| 13.839945
| 14.849863
| 13.043392
|
2304.12945
|
Rodolfo Jos\'e Bueno Rogerio
|
R. J. Bueno Rogerio, R. T. Cavalcanti, J. M. Hoff da Silva, C. H.
Coronado Villalobos
|
Revisiting Takahashi's inversion theorem in discrete symmetry-based dual
frameworks
|
7 pages
|
Physics Letters A, 481, 129028 (2023)
|
10.1016/j.physleta.2023.129028
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The so-called Takahashi's \emph{Inversion Theorem}, the reconstruction of a
given spinor based on its bilinear covariants, are re-examined, considering
alternative dual structures. In contrast to the classical results, where the
Dirac dual structure plays the central role, new duals are built using the
discrete symmetries $\mathcal{C}, \mathcal{P}, \mathcal{T}$. Their combinations
are also taken into account. Furthermore, the imposition of a new adjoint
structure led us also to re-examine the representation of the Clifford algebra
basis elements, uncovering new bilinear structures and a new Fierz aggregate.
Those results might help construct theories for new beyond standard model
fields.
|
[
{
"created": "Mon, 24 Apr 2023 16:40:18 GMT",
"version": "v1"
}
] |
2023-07-27
|
[
[
"Rogerio",
"R. J. Bueno",
""
],
[
"Cavalcanti",
"R. T.",
""
],
[
"da Silva",
"J. M. Hoff",
""
],
[
"Villalobos",
"C. H. Coronado",
""
]
] |
The so-called Takahashi's \emph{Inversion Theorem}, the reconstruction of a given spinor based on its bilinear covariants, are re-examined, considering alternative dual structures. In contrast to the classical results, where the Dirac dual structure plays the central role, new duals are built using the discrete symmetries $\mathcal{C}, \mathcal{P}, \mathcal{T}$. Their combinations are also taken into account. Furthermore, the imposition of a new adjoint structure led us also to re-examine the representation of the Clifford algebra basis elements, uncovering new bilinear structures and a new Fierz aggregate. Those results might help construct theories for new beyond standard model fields.
| 16.917154
| 14.453897
| 16.824917
| 14.592579
| 15.117226
| 14.300525
| 14.948718
| 14.686956
| 14.456037
| 17.007805
| 14.710042
| 15.009306
| 15.439066
| 14.651122
| 15.040084
| 14.755812
| 14.815087
| 15.465828
| 15.090488
| 15.705765
| 15.803063
|
2210.14801
|
Peter West
|
Kevin Nguyen and Peter West
|
Universal derivation of the asymptotic charges of bosonic massless
particles
|
9 pages, References added and commented on
| null |
10.1016/j.physletb.2023.138060
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We present a unified treatment of the conserved asymptotic charges associated
with any bosonic massless particle in any spacetime dimension. In particular we
provide master formulae for the asymptotic charges and the central extensions
in the corresponding charge algebras. These formulae can be explicitly
evaluated for any given theory. For illustration we apply them to
electromagnetism and gravity, thereby recovering earlier results.
|
[
{
"created": "Wed, 26 Oct 2022 15:50:36 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Jun 2023 14:56:07 GMT",
"version": "v2"
}
] |
2023-08-09
|
[
[
"Nguyen",
"Kevin",
""
],
[
"West",
"Peter",
""
]
] |
We present a unified treatment of the conserved asymptotic charges associated with any bosonic massless particle in any spacetime dimension. In particular we provide master formulae for the asymptotic charges and the central extensions in the corresponding charge algebras. These formulae can be explicitly evaluated for any given theory. For illustration we apply them to electromagnetism and gravity, thereby recovering earlier results.
| 8.706198
| 8.609205
| 8.43343
| 7.556073
| 8.27938
| 8.465423
| 8.677873
| 8.259332
| 7.607917
| 9.156939
| 8.368559
| 7.983608
| 8.040059
| 7.74129
| 7.596418
| 8.00401
| 7.851454
| 8.239354
| 8.019479
| 8.697387
| 7.693347
|
1507.00260
|
Reiji Yoshioka
|
Hiroshi Itoyama, Reiji Yoshioka
|
Developments of theory of effective prepotential from extended
Seiberg-Witten system and matrix models
|
60 pages, 5 figures, to be submitted to PTEP as an invited review
article and based in part on the talk delivered by one of the authors (H.I.)
in the workshop held at Shizuoka University, Shizuoka, Japan, on December 5,
2014; v2: minor corrections, references added
| null |
10.1093/ptep/ptv124
|
OCU-PHYS 427
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This is a semi-pedagogical review of a medium size on the exact determination
of and the role played by the low energy effective prepotential ${\cal F}$ in
QFT with (broken) extended supersymmetry, which began with the work of Seiberg
and Witten in 1994. While paying an attention to an overall view of this
subject lasting long over the two decades, we probe several corners marked in
the three major stages of the developments, emphasizing uses of the deformation
theory on the attendant Riemann surface as well as its close relation to matrix
models. Examples picked here in different contexts tell us that the effective
prepotential is to be identified as the suitably defined free energy $F$ of a
matrix model: ${\cal F} = F$. To be submitted to PTEP as an invited review
article and based in part on the talk delivered by one of the authors (H.I.) in
the workshop held at Shizuoka University, Shizuoka, Japan, on December 5, 2014.
|
[
{
"created": "Wed, 1 Jul 2015 15:28:57 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Jul 2015 12:32:05 GMT",
"version": "v2"
}
] |
2015-09-30
|
[
[
"Itoyama",
"Hiroshi",
""
],
[
"Yoshioka",
"Reiji",
""
]
] |
This is a semi-pedagogical review of a medium size on the exact determination of and the role played by the low energy effective prepotential ${\cal F}$ in QFT with (broken) extended supersymmetry, which began with the work of Seiberg and Witten in 1994. While paying an attention to an overall view of this subject lasting long over the two decades, we probe several corners marked in the three major stages of the developments, emphasizing uses of the deformation theory on the attendant Riemann surface as well as its close relation to matrix models. Examples picked here in different contexts tell us that the effective prepotential is to be identified as the suitably defined free energy $F$ of a matrix model: ${\cal F} = F$. To be submitted to PTEP as an invited review article and based in part on the talk delivered by one of the authors (H.I.) in the workshop held at Shizuoka University, Shizuoka, Japan, on December 5, 2014.
| 14.024487
| 13.638724
| 14.686435
| 13.154396
| 13.925475
| 14.105005
| 13.373072
| 13.961705
| 13.590234
| 17.197077
| 12.894395
| 12.982437
| 14.207649
| 13.303533
| 13.408775
| 12.913682
| 12.894648
| 13.272274
| 13.22506
| 13.902182
| 13.305005
|
1610.02074
|
Hideo Suganuma
|
Hideo Suganuma, Yuya Nakagawa and Kohei Matsumoto (Kyoto U.)
|
1+1 Large $N_c$ QCD and its Holographic Dual -Soliton Picture of Baryons
in Single-Flavor World
|
5 pages, 3 figures
| null |
10.7566/JPSCP.13.020013
| null |
hep-th hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study baryons in holographic QCD corresponding to 1+1 dimensional
single-flavor ($N_f$=1) QCD for the first time. We formulate 1+1 QCD using an
$S^1$-compactified D2/D8/$\overline{\rm D8}$ branes in the superstring theory,
and describe the baryon as a topological configuration in 1+1 $N_f$=1 QCD,
corresponding to $\Pi_1({\rm U(1)})={\bf Z}$. Unlike 1+3 QCD with $N_f \ge 2$,
however, we find that the low-dimensional baryonic soliton is generally
unstable against a scale transformation/variation and swells infinitely in 1+1
$N_f$=1 QCD at the leading of large $N_c$. We thus point out a serious
difficulty on the soliton picture of baryons in large $N_c$ in the
single-flavor world in both 1+1 and 1+3 QCD. We also compare the
low-dimensional holographic baryon with the Abrikosov vortex, i.e., a stable
topological configuration in Type-II superconductors.
|
[
{
"created": "Thu, 6 Oct 2016 21:18:02 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Nov 2016 13:59:30 GMT",
"version": "v2"
}
] |
2017-03-08
|
[
[
"Suganuma",
"Hideo",
"",
"Kyoto U."
],
[
"Nakagawa",
"Yuya",
"",
"Kyoto U."
],
[
"Matsumoto",
"Kohei",
"",
"Kyoto U."
]
] |
We study baryons in holographic QCD corresponding to 1+1 dimensional single-flavor ($N_f$=1) QCD for the first time. We formulate 1+1 QCD using an $S^1$-compactified D2/D8/$\overline{\rm D8}$ branes in the superstring theory, and describe the baryon as a topological configuration in 1+1 $N_f$=1 QCD, corresponding to $\Pi_1({\rm U(1)})={\bf Z}$. Unlike 1+3 QCD with $N_f \ge 2$, however, we find that the low-dimensional baryonic soliton is generally unstable against a scale transformation/variation and swells infinitely in 1+1 $N_f$=1 QCD at the leading of large $N_c$. We thus point out a serious difficulty on the soliton picture of baryons in large $N_c$ in the single-flavor world in both 1+1 and 1+3 QCD. We also compare the low-dimensional holographic baryon with the Abrikosov vortex, i.e., a stable topological configuration in Type-II superconductors.
| 6.887567
| 7.009943
| 7.339889
| 6.786093
| 6.740191
| 7.264604
| 6.848266
| 6.428627
| 6.47665
| 7.549201
| 6.620339
| 6.594196
| 6.999453
| 6.752856
| 6.752217
| 6.716294
| 6.881203
| 6.68676
| 6.815308
| 6.997299
| 6.651265
|
1606.08784
|
Michele Maggiore
|
Michele Maggiore
|
Nonlocal Infrared Modifications of Gravity. A Review
|
58 pages, 12 figures
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review an approach developed in the last few years by our group in which
GR is modified in the infrared, at an effective level, by nonlocal terms
associated to a mass scale. We begin by recalling the notion of quantum
effective action and its associated nonlocalities, illustrating some of their
features with the anomaly-induced effective actions in $D=2$ and $D=4$. We
examine conceptual issues of nonlocal theories such as causality, degrees of
freedoms and ghosts, stressing the importance of the fact that these
nonlocalities only emerge at the effective level. We discuss a particular class
of nonlocal theories where the nonlocal operator is associated to a mass scale,
and we show that they perform very well in the comparison with cosmological
observations, to the extent that they fit CMB, supernovae, BAO and structure
formation data at a level fully competitive with $\Lambda$CDM, with the same
number of free parameters. We explore some extensions of these `minimal'
models, and we finally discuss some directions of investigation for deriving
the required effective nonlocality from a fundamental local QFT.
|
[
{
"created": "Tue, 28 Jun 2016 16:57:07 GMT",
"version": "v1"
}
] |
2016-06-29
|
[
[
"Maggiore",
"Michele",
""
]
] |
We review an approach developed in the last few years by our group in which GR is modified in the infrared, at an effective level, by nonlocal terms associated to a mass scale. We begin by recalling the notion of quantum effective action and its associated nonlocalities, illustrating some of their features with the anomaly-induced effective actions in $D=2$ and $D=4$. We examine conceptual issues of nonlocal theories such as causality, degrees of freedoms and ghosts, stressing the importance of the fact that these nonlocalities only emerge at the effective level. We discuss a particular class of nonlocal theories where the nonlocal operator is associated to a mass scale, and we show that they perform very well in the comparison with cosmological observations, to the extent that they fit CMB, supernovae, BAO and structure formation data at a level fully competitive with $\Lambda$CDM, with the same number of free parameters. We explore some extensions of these `minimal' models, and we finally discuss some directions of investigation for deriving the required effective nonlocality from a fundamental local QFT.
| 9.104429
| 8.626796
| 8.715035
| 8.017812
| 8.810335
| 8.642477
| 9.17327
| 8.748886
| 8.915306
| 8.904186
| 8.826554
| 8.488888
| 8.582338
| 8.544098
| 8.660949
| 8.603081
| 8.649479
| 8.531305
| 8.722443
| 8.606747
| 8.502588
|
2107.03656
|
Nick R.D. Zhu
|
Satoshi Nawata, Rui-Dong Zhu
|
Instanton counting and O-vertex
|
14+17 pages; a mathematica file that can help the readers to check
our results is attached; typos corrected in v5
|
JHEP09 (2021) 190
|
10.1007/JHEP09(2021)190
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present closed-form expressions of unrefined instanton partition functions
for gauge groups of type $BCD$ as sums over Young diagrams. For
$\mathrm{SO}(n)$ gauge groups, we provide a fivebrane web picture of our
formula based on the vertex-operator formalism of the topological vertex with a
new type called O-vertex for an O5-plane.
|
[
{
"created": "Thu, 8 Jul 2021 07:44:18 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jul 2021 06:31:48 GMT",
"version": "v2"
},
{
"created": "Wed, 8 Sep 2021 09:04:57 GMT",
"version": "v3"
},
{
"created": "Sat, 7 May 2022 06:17:13 GMT",
"version": "v4"
},
{
"created": "Tue, 31 Jan 2023 13:28:01 GMT",
"version": "v5"
}
] |
2023-02-01
|
[
[
"Nawata",
"Satoshi",
""
],
[
"Zhu",
"Rui-Dong",
""
]
] |
We present closed-form expressions of unrefined instanton partition functions for gauge groups of type $BCD$ as sums over Young diagrams. For $\mathrm{SO}(n)$ gauge groups, we provide a fivebrane web picture of our formula based on the vertex-operator formalism of the topological vertex with a new type called O-vertex for an O5-plane.
| 17.760729
| 14.288433
| 22.305178
| 14.572658
| 13.441093
| 13.516764
| 15.357565
| 15.738823
| 13.727802
| 26.379196
| 13.735987
| 13.617592
| 16.739548
| 14.812678
| 13.485563
| 13.697521
| 14.007784
| 14.801138
| 14.416511
| 16.887373
| 14.064886
|
2307.06355
|
Dimitris Skliros P.
|
Dimitri Skliros
|
Moving NS Punctures on Super Spheres
|
39 pages, no figures. Expanded some of the discussion and added a few
references
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
One of the subtleties that has made superstring perturbation theory intricate
at high string loop order is the fact that, as shown by Donagi and Witten,
supermoduli space is not holomorphically projected, nor is it holomorphically
split. In recent years, Sen introduced the notion of vertical integration in
moduli space (further refined by Sen and Witten). This enables one to use the
traditional (only locally-defined) gauge fixing for the worldsheet gravitino in
local patches, allowing one to formulate the theory on the moduli space of
ordinary Riemann surfaces, and then prescribes certain correction terms to
account for the incorrect gauge fixing to restore BRST invariance. This
approach makes use of the fact that there is no obstruction to a smooth
splitting of supermoduli space. It may, however, not necessarily be the most
convenient or natural solution to the problem. There may be situations where
one would like to have a well-defined path integral at arbitrary string loop
order from the outset. In this paper I initiate an alternative approach that
implements the fact that a smooth gauge slice for supermoduli space always
exists. As a warmup, I focus specifically on super Riemann surfaces with the
topology of a 2-sphere in heterotic string theory, incorporating the
corresponding super curvature locally, and introduce a new well-defined smooth
gauge fixing that leads to a globally defined path integral measure that
translates fixed ($-1$) picture vertex operators (or handle operators) (that
may or may not be offshell) to integrated (0) picture. I also provide some
comments on the extension to arbitrary super Riemann surfaces.
|
[
{
"created": "Wed, 12 Jul 2023 18:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Dec 2023 16:58:06 GMT",
"version": "v2"
}
] |
2023-12-06
|
[
[
"Skliros",
"Dimitri",
""
]
] |
One of the subtleties that has made superstring perturbation theory intricate at high string loop order is the fact that, as shown by Donagi and Witten, supermoduli space is not holomorphically projected, nor is it holomorphically split. In recent years, Sen introduced the notion of vertical integration in moduli space (further refined by Sen and Witten). This enables one to use the traditional (only locally-defined) gauge fixing for the worldsheet gravitino in local patches, allowing one to formulate the theory on the moduli space of ordinary Riemann surfaces, and then prescribes certain correction terms to account for the incorrect gauge fixing to restore BRST invariance. This approach makes use of the fact that there is no obstruction to a smooth splitting of supermoduli space. It may, however, not necessarily be the most convenient or natural solution to the problem. There may be situations where one would like to have a well-defined path integral at arbitrary string loop order from the outset. In this paper I initiate an alternative approach that implements the fact that a smooth gauge slice for supermoduli space always exists. As a warmup, I focus specifically on super Riemann surfaces with the topology of a 2-sphere in heterotic string theory, incorporating the corresponding super curvature locally, and introduce a new well-defined smooth gauge fixing that leads to a globally defined path integral measure that translates fixed ($-1$) picture vertex operators (or handle operators) (that may or may not be offshell) to integrated (0) picture. I also provide some comments on the extension to arbitrary super Riemann surfaces.
| 12.440492
| 13.657389
| 13.7513
| 12.545831
| 14.063705
| 14.474522
| 15.125334
| 12.8658
| 13.475577
| 15.150565
| 12.8741
| 12.123569
| 12.485579
| 11.717773
| 12.129133
| 11.731969
| 12.018514
| 11.788616
| 12.073539
| 12.180685
| 12.124649
|
hep-th/0211104
|
Ben Gripaios
|
B. M. Gripaios (Oxford)
|
Variational Analysis of Deconfinement in Compact U(1) Gauge Theory
|
15 pages
|
Phys.Rev. D67 (2003) 025023
|
10.1103/PhysRevD.67.025023
|
OUTP-02 41P
|
hep-th hep-lat hep-ph
| null |
A variational method is used to analyse compact U(1) gauge theory in
2+1-dimensions at finite temperature, T, weak coupling, g and where the
fundamental magnetic monopoles have magnetic charge 2\pi n/g. The theory
undergoes a critical transition from a confining phase at temperatures below
T_c=2g^2/n^2\pi to a deconfined phase at temperatures above T_c. The free
energy and all its derivatives are continuous at T_c, indicative of the BKT
phase transition. The relevant gauge-invariant correlation functions decay
exponentially at large distances. The spatial Wilson loop obeys the area law at
all finite temperatures, even for the non-compact theory. The case n=2
corresponds to the compact U(1) theory considered as a low energy effective
theory for the spontaneously broken Georgi--Glashow model. The results in this
case agree with those derived previously for compact U(1) in this model using
dimensional reduction of the Lagrangian.
|
[
{
"created": "Tue, 12 Nov 2002 12:37:36 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Gripaios",
"B. M.",
"",
"Oxford"
]
] |
A variational method is used to analyse compact U(1) gauge theory in 2+1-dimensions at finite temperature, T, weak coupling, g and where the fundamental magnetic monopoles have magnetic charge 2\pi n/g. The theory undergoes a critical transition from a confining phase at temperatures below T_c=2g^2/n^2\pi to a deconfined phase at temperatures above T_c. The free energy and all its derivatives are continuous at T_c, indicative of the BKT phase transition. The relevant gauge-invariant correlation functions decay exponentially at large distances. The spatial Wilson loop obeys the area law at all finite temperatures, even for the non-compact theory. The case n=2 corresponds to the compact U(1) theory considered as a low energy effective theory for the spontaneously broken Georgi--Glashow model. The results in this case agree with those derived previously for compact U(1) in this model using dimensional reduction of the Lagrangian.
| 7.509504
| 7.67983
| 7.617854
| 6.995096
| 7.842954
| 7.840926
| 7.646946
| 7.724191
| 6.873879
| 7.756612
| 7.004629
| 7.137439
| 7.065
| 6.968536
| 6.964753
| 6.992882
| 7.269254
| 7.075329
| 6.769468
| 7.302935
| 7.146045
|
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