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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1211.0798
|
Marco Matone
|
Alon E. Faraggi and Marco Matone
|
Energy Quantisation and Time Parameterisation
|
11 pages. The main addition concerns a discussion on the variational
principle in the case of discrete energy spectra (Jacobi's Theorem).
References added
|
Eur. Phys. J. C 74 (2014) 2694
|
10.1140/epjc/s10052-013-2694-1
|
LTH-961
|
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that if space is compact, then trajectories cannot be defined in the
framework of quantum Hamilton--Jacobi equation. The starting point is the
simple observation that when the energy is quantized it is not possible to make
variations with respect to the energy, and the time parameterisation
t-t_0=\partial_E S_0, implied by Jacobi's theorem and that leads to group
velocity, is ill defined. It should be stressed that this follows directly form
the quantum HJ equation without any axiomatic assumption concerning the
standard formulation of quantum mechanics. This provides a stringent connection
between the quantum HJ equation and the Copenhagen interpretation. Together
with tunneling and the energy quantization theorem for confining potentials,
formulated in the framework of quantum HJ equation, it leads to the main
features of the axioms of quantum mechanics from a unique geometrical
principle. Similarly to the case of the classical HJ equation, this fixes its
quantum analog by requiring that there exist point transformations, rather than
canonical ones, leading to the trivial hamiltonian. This is equivalent to a
basic cocycle condition on the states. Such a cocycle condition can be
implemented on compact spaces, so that continuous energy spectra are allowed
only as a limiting case. Remarkably, a compact space would also imply that the
Dirac and von Neumann formulations of quantum mechanics essentially coincide.
We suggest that there is a definition of time parameterisation leading to
trajectories in the context of the quantum HJ equation having the probabilistic
interpretation of the Copenhagen School.
|
[
{
"created": "Mon, 5 Nov 2012 09:20:15 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Dec 2013 15:24:33 GMT",
"version": "v2"
}
] |
2014-01-24
|
[
[
"Faraggi",
"Alon E.",
""
],
[
"Matone",
"Marco",
""
]
] |
We show that if space is compact, then trajectories cannot be defined in the framework of quantum Hamilton--Jacobi equation. The starting point is the simple observation that when the energy is quantized it is not possible to make variations with respect to the energy, and the time parameterisation t-t_0=\partial_E S_0, implied by Jacobi's theorem and that leads to group velocity, is ill defined. It should be stressed that this follows directly form the quantum HJ equation without any axiomatic assumption concerning the standard formulation of quantum mechanics. This provides a stringent connection between the quantum HJ equation and the Copenhagen interpretation. Together with tunneling and the energy quantization theorem for confining potentials, formulated in the framework of quantum HJ equation, it leads to the main features of the axioms of quantum mechanics from a unique geometrical principle. Similarly to the case of the classical HJ equation, this fixes its quantum analog by requiring that there exist point transformations, rather than canonical ones, leading to the trivial hamiltonian. This is equivalent to a basic cocycle condition on the states. Such a cocycle condition can be implemented on compact spaces, so that continuous energy spectra are allowed only as a limiting case. Remarkably, a compact space would also imply that the Dirac and von Neumann formulations of quantum mechanics essentially coincide. We suggest that there is a definition of time parameterisation leading to trajectories in the context of the quantum HJ equation having the probabilistic interpretation of the Copenhagen School.
|
hep-th/0207165
|
Soumitra SenGupta
|
Biswarup Mukhopadhyaya, Somasri Sen, Soumitra SenGupta, Saurabh Sur
|
Parity violation in four and higher dimensional spacetime with torsion
|
13 Pages, Latex, Title changed and thoroughly revised. To appear in
Eur.Phys.J.C
|
Eur.Phys.J. C35 (2004) 129-135
|
10.1140/epjc/s2004-01759-7
| null |
hep-th
| null |
The possibility of parity violation in a gravitational theory with torsion is
extensively explored in four and higher dimensions. In the former case,we have
listed our conclusions on when and whether parity ceases to be conserved, with
both two-and three-index antisymmetry of the torsion field. In the latter, the
bulk spacetime is assumed to have torsion, and the survival of parity-violating
terms in the four dimensional effective action is studied, using the
compactification schemes proposed by Arkani-Hamed-Dimopoulos-Dvali and
Randall-Sundrum. An interesting conclusion is that the torsion-axion duality
arising in a stringy scenario via the second rank antisymmetric Kalb-Ramond
field leads to conservation of parity in the gravity sector in any dimension.
However, parity-violating interactions do appear for spin 1/2 fermions in such
theories, which can have crucial phenomenological implications.
|
[
{
"created": "Thu, 18 Jul 2002 13:28:50 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Apr 2003 11:45:20 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Apr 2004 05:56:51 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Mukhopadhyaya",
"Biswarup",
""
],
[
"Sen",
"Somasri",
""
],
[
"SenGupta",
"Soumitra",
""
],
[
"Sur",
"Saurabh",
""
]
] |
The possibility of parity violation in a gravitational theory with torsion is extensively explored in four and higher dimensions. In the former case,we have listed our conclusions on when and whether parity ceases to be conserved, with both two-and three-index antisymmetry of the torsion field. In the latter, the bulk spacetime is assumed to have torsion, and the survival of parity-violating terms in the four dimensional effective action is studied, using the compactification schemes proposed by Arkani-Hamed-Dimopoulos-Dvali and Randall-Sundrum. An interesting conclusion is that the torsion-axion duality arising in a stringy scenario via the second rank antisymmetric Kalb-Ramond field leads to conservation of parity in the gravity sector in any dimension. However, parity-violating interactions do appear for spin 1/2 fermions in such theories, which can have crucial phenomenological implications.
|
1611.03948
|
Kenji Mohri
|
Kenji Mohri
|
Algebra of Kodaira-Spencer Gravity and Deformation of Calabi-Yau
Manifold
|
preprint of an article published in Rev.Math.Phys. (C) World
Scientific Publishing Company
|
Reviews in Mathematical Physics vol.29, No.3 (2017) 1750010 (23
pages)
|
10.1142/S0129055X17500106
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the algebraic structure of the configuration space of the
Kodaira-Spencer gravity theory on a Calabi-Yau threefold. We then investigate
the deformation problem of the Kodaira-Spencer gravity at the classical level
using the algebraic tools obtained here.
|
[
{
"created": "Sat, 12 Nov 2016 03:47:08 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Feb 2017 04:48:38 GMT",
"version": "v2"
}
] |
2017-02-24
|
[
[
"Mohri",
"Kenji",
""
]
] |
We study the algebraic structure of the configuration space of the Kodaira-Spencer gravity theory on a Calabi-Yau threefold. We then investigate the deformation problem of the Kodaira-Spencer gravity at the classical level using the algebraic tools obtained here.
|
1910.02741
|
Hor\'acio Vieira
|
H. S. Vieira and V. B. Bezerra
|
Resonant frequencies of a massless scalar field in the canonical
acoustic black hole spacetime
|
14 pages, 2 figures
|
Gen. Relat. Gravit. 52, 72 (2020)
|
10.1007/s10714-020-02726-7
| null |
gr-qc cond-mat.stat-mech math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we consider the exact solution of the Klein-Gordon equation
describing a massless scalar field in the spacetime of a four dimensional
canonical acoustic black hole, which is given in terms of the general Heun
function, to investigate the interesting phenomena related to the resonant
frequencies.
|
[
{
"created": "Mon, 7 Oct 2019 11:50:46 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Aug 2020 17:22:49 GMT",
"version": "v2"
}
] |
2020-08-10
|
[
[
"Vieira",
"H. S.",
""
],
[
"Bezerra",
"V. B.",
""
]
] |
In this work we consider the exact solution of the Klein-Gordon equation describing a massless scalar field in the spacetime of a four dimensional canonical acoustic black hole, which is given in terms of the general Heun function, to investigate the interesting phenomena related to the resonant frequencies.
|
2310.14955
|
Alan Rios Fukelman
|
Alan Rios Fukelman, Mat\'ias Semp\'e and Guillermo A. Silva
|
Notes on Gauge Fields and Discrete Series representations in de Sitter
spacetimes
|
55 pages, 1 table, added references, corrected typos, published
version
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this note we discuss features of the simplest spinning Discrete Series
Unitary Irreducible Representations (UIR) of SO(1,4). These representations are
known to be realised in the single particle Hilbert space of a free gauge field
propagating in a four dimensional fixed de Sitter background. They showcase
distinct features as compared to the more common Principal Series realised by
heavy fields. Upon computing the $1-$loop Sphere path integral we show that the
\emph{edge modes} of the theory can be understood in terms of a Discrete Series
of SO$(1,2)$. We then canonically quantise the theory and show how group theory
constrains the mode decomposition. We further clarify the role played by the
second SO(4) Casimir in the single particle Hilbert space of the theory.
|
[
{
"created": "Mon, 23 Oct 2023 13:56:38 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Nov 2023 17:21:27 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Dec 2023 11:40:05 GMT",
"version": "v3"
}
] |
2023-12-29
|
[
[
"Fukelman",
"Alan Rios",
""
],
[
"Sempé",
"Matías",
""
],
[
"Silva",
"Guillermo A.",
""
]
] |
In this note we discuss features of the simplest spinning Discrete Series Unitary Irreducible Representations (UIR) of SO(1,4). These representations are known to be realised in the single particle Hilbert space of a free gauge field propagating in a four dimensional fixed de Sitter background. They showcase distinct features as compared to the more common Principal Series realised by heavy fields. Upon computing the $1-$loop Sphere path integral we show that the \emph{edge modes} of the theory can be understood in terms of a Discrete Series of SO$(1,2)$. We then canonically quantise the theory and show how group theory constrains the mode decomposition. We further clarify the role played by the second SO(4) Casimir in the single particle Hilbert space of the theory.
|
1205.6805
|
Raphael Flauger
|
Sergei Dubovsky, Raphael Flauger, Victor Gorbenko
|
Solving the Simplest Theory of Quantum Gravity
|
32+4 pages, 1 figure, v2: typos fixed, published version
|
JHEP 1209 (2012) 133
|
10.1007/JHEP09(2012)133
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We solve what is quite likely the simplest model of quantum gravity, the
worldsheet theory of an infinitely long, free bosonic string in Minkowski
space. Contrary to naive expectations, this theory is non-trivial. We
illustrate this by constructing its exact factorizable S-matrix. Despite its
simplicity, the theory exhibits many of the salient features expected from more
mature quantum gravity models, including the absence of local off-shell
observables, a minimal length, a maximum achievable (Hagedorn) temperature, as
well as (integrable relatives of) black holes. All these properties follow from
the exact S-matrix. We show that the complete finite volume spectrum can be
reconstructed analytically from this S-matrix with the help of the
thermodynamic Bethe Ansatz. We argue that considered as a UV complete
relativistic two-dimensional quantum field theory the model exhibits a new type
of renormalization group flow behavior, "asymptotic fragility". Asymptotically
fragile flows do not originate from a UV fixed point.
|
[
{
"created": "Wed, 30 May 2012 20:00:02 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Feb 2013 21:01:33 GMT",
"version": "v2"
}
] |
2013-02-18
|
[
[
"Dubovsky",
"Sergei",
""
],
[
"Flauger",
"Raphael",
""
],
[
"Gorbenko",
"Victor",
""
]
] |
We solve what is quite likely the simplest model of quantum gravity, the worldsheet theory of an infinitely long, free bosonic string in Minkowski space. Contrary to naive expectations, this theory is non-trivial. We illustrate this by constructing its exact factorizable S-matrix. Despite its simplicity, the theory exhibits many of the salient features expected from more mature quantum gravity models, including the absence of local off-shell observables, a minimal length, a maximum achievable (Hagedorn) temperature, as well as (integrable relatives of) black holes. All these properties follow from the exact S-matrix. We show that the complete finite volume spectrum can be reconstructed analytically from this S-matrix with the help of the thermodynamic Bethe Ansatz. We argue that considered as a UV complete relativistic two-dimensional quantum field theory the model exhibits a new type of renormalization group flow behavior, "asymptotic fragility". Asymptotically fragile flows do not originate from a UV fixed point.
|
1612.05742
|
Steven Abel
|
Benedict Aaronson, Steven Abel, Eirini Mavroudi
|
On interpolations from SUSY to non-SUSY strings and their properties
|
21 pages, 5 figures, improved figure, background and appendix
|
Phys. Rev. D 95, 106001 (2017)
|
10.1103/PhysRevD.95.106001
|
IPPP/16/123
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The interpolation from supersymmetric to non-supersymmetric heterotic
theories is studied, via the Scherk-Schwarz compactification of supersymmetric
6D theories to 4D. A general modular-invariant Scherk-Schwarz deformation is
deduced from the properties of the 6D theories at the endpoints, which
significantly extends previously known examples. This wider class of
non-supersymmetric 4D theories opens up new possibilities for model building.
The full one-loop cosmological constant of such theories is studied as a
function of compactification radius for a number of cases, and the following
interpolating configurations are found: two supersymmetric 6D theories related
by a T-duality transformation, with intermediate 4D maximum or minimum at the
string scale; a non-supersymmetric 6D theory interpolating to a supersymmetric
6D theory, with the 4D theory possibly having an AdS minimum; a "metastable"
non-supersymmetric 6D theory interpolating via a 4D theory to a supersymmetric
6D theory.
|
[
{
"created": "Sat, 17 Dec 2016 12:04:52 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Mar 2017 09:37:26 GMT",
"version": "v2"
}
] |
2017-05-10
|
[
[
"Aaronson",
"Benedict",
""
],
[
"Abel",
"Steven",
""
],
[
"Mavroudi",
"Eirini",
""
]
] |
The interpolation from supersymmetric to non-supersymmetric heterotic theories is studied, via the Scherk-Schwarz compactification of supersymmetric 6D theories to 4D. A general modular-invariant Scherk-Schwarz deformation is deduced from the properties of the 6D theories at the endpoints, which significantly extends previously known examples. This wider class of non-supersymmetric 4D theories opens up new possibilities for model building. The full one-loop cosmological constant of such theories is studied as a function of compactification radius for a number of cases, and the following interpolating configurations are found: two supersymmetric 6D theories related by a T-duality transformation, with intermediate 4D maximum or minimum at the string scale; a non-supersymmetric 6D theory interpolating to a supersymmetric 6D theory, with the 4D theory possibly having an AdS minimum; a "metastable" non-supersymmetric 6D theory interpolating via a 4D theory to a supersymmetric 6D theory.
|
hep-th/0205278
|
T. Padmanabhan
|
T.Padmanabhan
|
Is gravity an intrinsically quantum phenomenon? Dynamics of Gravity from
the Entropy of Spacetime and the Principle of Equivalence
|
12 pages; latex with style macros built-in; to appear in
Mod.Phys.Letts.A
|
Mod.Phys.Lett. A17 (2002) 1147-1158
|
10.1142/S0217732302007260
|
IUCAA preprint 23/2002
|
hep-th astro-ph gr-qc
| null |
The two surprising features of gravity are (a) the principle of equivalence
and (b) the connection between gravity and thermodynamics. Using principle of
equivalence and special relativity in the {\it local inertial frame}, one could
obtain the insight that gravity must possess a geometrical description. I show
that, using the same principle of equivalence, special relativity and quantum
theory in the {\it local Rindler frame} one can obtain the Einstein-Hilbert
action functional for gravity and thus the dynamics of the spacetime. This
approach, which essentially involves postulating that the horizon area must be
proportional to the entropy, uses the local Rindler frame as a natural
extension of the local inertial frame and leads to the interpretation that the
gravitational action represents the free energy of the spacetime geometry. As
an aside, one also obtains a natural explanation as to: (i) why the covariant
action for gravity contains second derivatives of the metric tensor and (ii)
why the gravitational coupling constant is positive. The analysis suggests that
gravity is intrinsically holographic and even intrinsically quantum mechanical.
|
[
{
"created": "Mon, 27 May 2002 12:09:07 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Padmanabhan",
"T.",
""
]
] |
The two surprising features of gravity are (a) the principle of equivalence and (b) the connection between gravity and thermodynamics. Using principle of equivalence and special relativity in the {\it local inertial frame}, one could obtain the insight that gravity must possess a geometrical description. I show that, using the same principle of equivalence, special relativity and quantum theory in the {\it local Rindler frame} one can obtain the Einstein-Hilbert action functional for gravity and thus the dynamics of the spacetime. This approach, which essentially involves postulating that the horizon area must be proportional to the entropy, uses the local Rindler frame as a natural extension of the local inertial frame and leads to the interpretation that the gravitational action represents the free energy of the spacetime geometry. As an aside, one also obtains a natural explanation as to: (i) why the covariant action for gravity contains second derivatives of the metric tensor and (ii) why the gravitational coupling constant is positive. The analysis suggests that gravity is intrinsically holographic and even intrinsically quantum mechanical.
|
hep-th/0202183
|
Riccardo Argurio
|
Riccardo Argurio
|
Comments on cosmological RG flows
|
17 pages, harvmac
|
JHEP 0212 (2002) 057
|
10.1088/1126-6708/2002/12/057
| null |
hep-th
| null |
We study cosmological backgrounds from the point of view of the dS/CFT
correspondence and its renormalization group flow extension. We focus on the
case where gravity is coupled to a single scalar with a potential. Depending on
the latter, the scalar can drive both inflation and the accelerated expansion
(dS) phase in the far future. We also comment on quintessence scenarios, and
flows familiar from the AdS/CFT correspondence. We finally make a tentative
embedding of this discussion in string theory where the scalar is the dilaton
and the potential is generated at the perturbative level.
|
[
{
"created": "Tue, 26 Feb 2002 16:02:31 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Feb 2002 08:53:55 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Argurio",
"Riccardo",
""
]
] |
We study cosmological backgrounds from the point of view of the dS/CFT correspondence and its renormalization group flow extension. We focus on the case where gravity is coupled to a single scalar with a potential. Depending on the latter, the scalar can drive both inflation and the accelerated expansion (dS) phase in the far future. We also comment on quintessence scenarios, and flows familiar from the AdS/CFT correspondence. We finally make a tentative embedding of this discussion in string theory where the scalar is the dilaton and the potential is generated at the perturbative level.
|
hep-th/9710189
|
Harvendra Singh
|
Harvendra Singh
|
Macroscopic String-like Solutions in Massive Supergravity
|
latex file, 7 pages, typos corrected, version to appear in Phys.
Lett. B
|
Phys.Lett. B419 (1998) 195-198
|
10.1016/S0370-2693(97)01506-2
|
DFPD/97/TH/48
|
hep-th
| null |
In this report we obtain explicit string-like solutions of equations of
motion of massive heterotic supergravity recently obtained by Bergshoeff, Roo
and Eyras. We also find consistent string source which can be embedded in these
backgrounds when space-time dimension is greater than or equal to six.
|
[
{
"created": "Fri, 24 Oct 1997 13:19:05 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Oct 1997 10:43:34 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Nov 1997 14:55:16 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Singh",
"Harvendra",
""
]
] |
In this report we obtain explicit string-like solutions of equations of motion of massive heterotic supergravity recently obtained by Bergshoeff, Roo and Eyras. We also find consistent string source which can be embedded in these backgrounds when space-time dimension is greater than or equal to six.
|
1006.3199
|
Pavlos Pasipoularides
|
G. Koutsoumbas and P. Pasipoularides
|
Black hole solutions in Horava-Lifshitz Gravity with cubic terms
|
25 pages, 3 figures, accepted in Phys. Rev. D
|
Phys.Rev.D82:044046,2010
|
10.1103/PhysRevD.82.044046
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study four dimensional non-projectable Horava-Lifshitz type gravity, in
the case of an action with terms, cubic in curvature. For special choices of
the free parameters of the model, we obtain two new analytic black hole
solutions which exhibit the standard Schwarzschild asymptotic behavior in the
large distance limit. The effect of cubic terms in the short range behavior of
the black hole solutions is discussed.
|
[
{
"created": "Wed, 16 Jun 2010 13:07:36 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Jun 2010 13:56:51 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Aug 2010 10:13:59 GMT",
"version": "v3"
}
] |
2014-11-21
|
[
[
"Koutsoumbas",
"G.",
""
],
[
"Pasipoularides",
"P.",
""
]
] |
We study four dimensional non-projectable Horava-Lifshitz type gravity, in the case of an action with terms, cubic in curvature. For special choices of the free parameters of the model, we obtain two new analytic black hole solutions which exhibit the standard Schwarzschild asymptotic behavior in the large distance limit. The effect of cubic terms in the short range behavior of the black hole solutions is discussed.
|
2302.01726
|
Filipe Mena
|
Christian L\"ubbe, Filipe C. Mena
|
Asymptotic structure and stability of spatially homogeneous space-times
with a positive cosmological constant
|
43 pages
| null | null | null |
gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We investigate the future asymptotics of spatially homogeneous space-times
with a positive cosmological constant by using and further developing geometric
conformal methods in General Relativity. For a large class of source fields,
including fluids with anisotropic stress, we prove that the space-times are
future asymptotically simple and geometrically conformally regular. We use that
result in order to show the global conformal regularity of the Einstein-Maxwell
system as well as the Einstein-radiation, Einstein-dust, massless
Einstein-Vlasov and particular Einstein-scalar field systems for Bianchi
space-times. Taking into account previous results, this implies the future
non-linear stability of some of those space-times in the sense that, for small
perturbations, the space-times approach locally the de Sitter solution
asymptotically in time. This extends some cosmic no-hair theorems to almost
spatially homogeneous space-times. However, we find that the conformal Einstein
field equations preserve the Bianchi type even at conformal infinity, so the
resulting asymptotic space-times have conformal hair.
|
[
{
"created": "Fri, 3 Feb 2023 13:37:02 GMT",
"version": "v1"
}
] |
2023-02-06
|
[
[
"Lübbe",
"Christian",
""
],
[
"Mena",
"Filipe C.",
""
]
] |
We investigate the future asymptotics of spatially homogeneous space-times with a positive cosmological constant by using and further developing geometric conformal methods in General Relativity. For a large class of source fields, including fluids with anisotropic stress, we prove that the space-times are future asymptotically simple and geometrically conformally regular. We use that result in order to show the global conformal regularity of the Einstein-Maxwell system as well as the Einstein-radiation, Einstein-dust, massless Einstein-Vlasov and particular Einstein-scalar field systems for Bianchi space-times. Taking into account previous results, this implies the future non-linear stability of some of those space-times in the sense that, for small perturbations, the space-times approach locally the de Sitter solution asymptotically in time. This extends some cosmic no-hair theorems to almost spatially homogeneous space-times. However, we find that the conformal Einstein field equations preserve the Bianchi type even at conformal infinity, so the resulting asymptotic space-times have conformal hair.
|
gr-qc/9910105
|
Jean-Paul Mbelek
|
J.P. Mbelek (Service d'Astrophysique, CEA, Saclay, France), M.
Lachi\`eze-Rey (Service d'Astrophysique, CEA, Saclay, France)
|
Long-range acceleration induced by a scalar field external to gravity
and the indication from Pioneer 10/11, Galileo and Ulysses Data
|
Latex, 23 pages with 3 Postscript figures, submitted to Physical
Review D
| null | null | null |
gr-qc
| null |
We suggest an explanation of the "Pioneer effect" based on the interaction of
the spacecraft with a long-range scalar field, $\phi$. The scalar field under
consideration is external to gravity, coupled to the ordinary matter and
undergoes obedience to the weak equivalence principle. In the weak fields limit
it result a long-range acceleration $a_{P}$, asymptotically constant within the
region of the solar system hitherto crossed by the spacecraft.
|
[
{
"created": "Thu, 28 Oct 1999 13:49:17 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Mbelek",
"J. P.",
"",
"Service d'Astrophysique, CEA, Saclay, France"
],
[
"Lachièze-Rey",
"M.",
"",
"Service d'Astrophysique, CEA, Saclay, France"
]
] |
We suggest an explanation of the "Pioneer effect" based on the interaction of the spacecraft with a long-range scalar field, $\phi$. The scalar field under consideration is external to gravity, coupled to the ordinary matter and undergoes obedience to the weak equivalence principle. In the weak fields limit it result a long-range acceleration $a_{P}$, asymptotically constant within the region of the solar system hitherto crossed by the spacecraft.
|
1606.05894
|
Amir M. Abbassi
|
Habib Abedi and Amir M. Abbassi
|
Hubble multi-scalar inflation
|
17 pages, No fig., JCAP style
| null |
10.1088/1475-7516/2017/07/049
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Multiple field models of inflation exhibit new features than single field
models. In this work, we study the hierarchy of parameters based on Hubble
expansion rate in curved field space and derive the system of flow equations
that describe their evolution. Then we focus on obtaining derivatives of number
of $e$-folds with respect to scalar fields during inflation and at hypersurface
of the end of inflation.
|
[
{
"created": "Sun, 19 Jun 2016 17:56:07 GMT",
"version": "v1"
}
] |
2017-08-02
|
[
[
"Abedi",
"Habib",
""
],
[
"Abbassi",
"Amir M.",
""
]
] |
Multiple field models of inflation exhibit new features than single field models. In this work, we study the hierarchy of parameters based on Hubble expansion rate in curved field space and derive the system of flow equations that describe their evolution. Then we focus on obtaining derivatives of number of $e$-folds with respect to scalar fields during inflation and at hypersurface of the end of inflation.
|
1106.0611
|
Igor Samsonov
|
Dmitry V. Belyaev, Igor B. Samsonov
|
Bi-harmonic superspace for N=4 d=4 super Yang-Mills
|
1+19 pages; minor corrections, references added
| null |
10.1007/JHEP09(2011)056
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop N=4 d=4 bi-harmonic superspace and use it to derive a novel form
for the low-energy effective action in N=4 super Yang-Mills theory. We solve
the N=4 supergauge constraints in this superspace in terms of analytic
superfields. Using these superfields, we construct a simple functional that
respects N=4 supersymmetry and scale invariance. In components, it reproduces
all on-shell terms in the four-derivative part of the N=4 SYM effective action;
in particular, the F^4/X^4 and Wess-Zumino terms. The latter comes out in a
novel SO(3) x SO(3)-invariant form.
|
[
{
"created": "Fri, 3 Jun 2011 11:24:21 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jun 2011 09:21:22 GMT",
"version": "v2"
}
] |
2015-05-28
|
[
[
"Belyaev",
"Dmitry V.",
""
],
[
"Samsonov",
"Igor B.",
""
]
] |
We develop N=4 d=4 bi-harmonic superspace and use it to derive a novel form for the low-energy effective action in N=4 super Yang-Mills theory. We solve the N=4 supergauge constraints in this superspace in terms of analytic superfields. Using these superfields, we construct a simple functional that respects N=4 supersymmetry and scale invariance. In components, it reproduces all on-shell terms in the four-derivative part of the N=4 SYM effective action; in particular, the F^4/X^4 and Wess-Zumino terms. The latter comes out in a novel SO(3) x SO(3)-invariant form.
|
1409.4914
|
Istvan Racz
|
Istv\'an R\'acz
|
Cauchy problem as a two-surface based `geometrodynamics'
|
35 pages,no figures, journal reference added
|
Class. Quantum Grav. 32 (2015) 015006
|
10.1088/0264-9381/32/1/015006
| null |
gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Four-dimensional spacetimes foliated by a two-parameter family of homologous
two-surfaces are considered in Einstein's theory of gravity. By combining a
1+(1+2) decomposition, the canonical form of the spacetime metric and a
suitable specification of the conformal structure of the foliating two-surfaces
a gauge fixing is introduced. It is shown that, in terms of the chosen
geometrically distinguished variables, the 1+3 Hamiltonian and momentum
constraints can be recast into the form of a parabolic equation and a first
order symmetric hyperbolic system, respectively. Initial data to this system
can be given on one of the two-surfaces foliating the three-dimensional initial
data surface. The 1+3 reduced Einstein's equations are also determined. By
combining the 1+3 momentum constraint with the reduced system of the secondary
1+2 decomposition a mixed hyperbolic-hyperbolic system is formed. It is shown
that solutions to this mixed hyperbolic-hyperbolic system are also solutions to
the full set of Einstein's equations provided that the 1+3 Hamiltonian
constraint is solved on the initial data surface $\Sigma_0$ and the 1+2
Hamiltonian and momentum type expressions vanish on a world-tube yielded by the
Lie transport of one of the two-surfaces foliating $\Sigma_0$ along the time
evolution vector field. Whenever the foliating two-surfaces are compact without
boundary in the spacetime and a regular origin exists on the time-slices---this
is the location where the foliating two-surfaces smoothly reduce to a
point---it suffices to guarantee that the 1+3 Hamiltonian constraint holds on
the initial data surface. A short discussion on the use of the geometrically
distinguished variables in identifying the degrees of freedom of gravity are
also included.
|
[
{
"created": "Wed, 17 Sep 2014 09:30:25 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Nov 2014 18:56:57 GMT",
"version": "v2"
},
{
"created": "Sat, 6 Dec 2014 11:36:47 GMT",
"version": "v3"
}
] |
2014-12-09
|
[
[
"Rácz",
"István",
""
]
] |
Four-dimensional spacetimes foliated by a two-parameter family of homologous two-surfaces are considered in Einstein's theory of gravity. By combining a 1+(1+2) decomposition, the canonical form of the spacetime metric and a suitable specification of the conformal structure of the foliating two-surfaces a gauge fixing is introduced. It is shown that, in terms of the chosen geometrically distinguished variables, the 1+3 Hamiltonian and momentum constraints can be recast into the form of a parabolic equation and a first order symmetric hyperbolic system, respectively. Initial data to this system can be given on one of the two-surfaces foliating the three-dimensional initial data surface. The 1+3 reduced Einstein's equations are also determined. By combining the 1+3 momentum constraint with the reduced system of the secondary 1+2 decomposition a mixed hyperbolic-hyperbolic system is formed. It is shown that solutions to this mixed hyperbolic-hyperbolic system are also solutions to the full set of Einstein's equations provided that the 1+3 Hamiltonian constraint is solved on the initial data surface $\Sigma_0$ and the 1+2 Hamiltonian and momentum type expressions vanish on a world-tube yielded by the Lie transport of one of the two-surfaces foliating $\Sigma_0$ along the time evolution vector field. Whenever the foliating two-surfaces are compact without boundary in the spacetime and a regular origin exists on the time-slices---this is the location where the foliating two-surfaces smoothly reduce to a point---it suffices to guarantee that the 1+3 Hamiltonian constraint holds on the initial data surface. A short discussion on the use of the geometrically distinguished variables in identifying the degrees of freedom of gravity are also included.
|
hep-th/0405174
|
Mariano Cadoni
|
M. Cadoni
|
Horizons and the Thermal Harmonic Oscillator
|
Content changed, title slightly modified
|
Mod.Phys.Lett.A20:1503-1511,2005
|
10.1142/S0217732305017603
| null |
hep-th
| null |
We show that two-dimensional anti-de Sitter spacetime (AdS_2) can be put in
correspondence, holographically, both with the harmonic oscillator and the free
particle. When AdS_2 has an horizon the corresponding mechanical system is a
thermal harmonic oscillator at temperature given by the Hawking temperature of
the horizon.
|
[
{
"created": "Thu, 20 May 2004 09:22:32 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Jun 2004 07:50:42 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Jun 2004 15:56:08 GMT",
"version": "v3"
}
] |
2010-11-05
|
[
[
"Cadoni",
"M.",
""
]
] |
We show that two-dimensional anti-de Sitter spacetime (AdS_2) can be put in correspondence, holographically, both with the harmonic oscillator and the free particle. When AdS_2 has an horizon the corresponding mechanical system is a thermal harmonic oscillator at temperature given by the Hawking temperature of the horizon.
|
2112.04695
|
El Hassan Saidi
|
E.H Saidi and L.B Drissi
|
5D N=1 super QFT: symplectic quivers
|
49 pages, 14 figures
| null |
10.1016/j.nuclphysb.2021.115632
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop a method to build new 5D $\mathcal{N}=1$ gauge models based on
Sasaki-Einstein manifolds $Y^{p,q}.$ These models extend the standard 5D ones
having a unitary SU$\left( p\right) _{q}$ gauge symmetry based on $% Y^{p,q}$.
Particular focus is put on the building of a gauge family with symplectic
SP$\left( 2r,\mathbb{R}\right) $ symmetry. These super QFTs are embedded in
M-theory compactified on folded toric Calabi-Yau threefolds $%
\hat{X}(Y^{2r,0})$ constructed from conical $Y^{2r,0}$. By using
outer-automorphism symmetries of 5D $\mathcal{N}=1$\textbf{\ }BPS quivers with
unitary SU$\left( 2r\right) $ gauge invariance, we also construct BPS quivers
with symplectic SP$\left( 2r,\mathbb{R}\right) $ gauge symmetry. Other related
aspects are discussed. Keywords: SCFT$_{5}$, 5D $\mathcal{N}=1$ super QFT on a
finite circle, Sasaki-Einstein manifolds, BPS quivers, outer-automorphisms.
|
[
{
"created": "Thu, 9 Dec 2021 04:27:09 GMT",
"version": "v1"
}
] |
2021-12-10
|
[
[
"Saidi",
"E. H",
""
],
[
"Drissi",
"L. B",
""
]
] |
We develop a method to build new 5D $\mathcal{N}=1$ gauge models based on Sasaki-Einstein manifolds $Y^{p,q}.$ These models extend the standard 5D ones having a unitary SU$\left( p\right) _{q}$ gauge symmetry based on $% Y^{p,q}$. Particular focus is put on the building of a gauge family with symplectic SP$\left( 2r,\mathbb{R}\right) $ symmetry. These super QFTs are embedded in M-theory compactified on folded toric Calabi-Yau threefolds $% \hat{X}(Y^{2r,0})$ constructed from conical $Y^{2r,0}$. By using outer-automorphism symmetries of 5D $\mathcal{N}=1$\textbf{\ }BPS quivers with unitary SU$\left( 2r\right) $ gauge invariance, we also construct BPS quivers with symplectic SP$\left( 2r,\mathbb{R}\right) $ gauge symmetry. Other related aspects are discussed. Keywords: SCFT$_{5}$, 5D $\mathcal{N}=1$ super QFT on a finite circle, Sasaki-Einstein manifolds, BPS quivers, outer-automorphisms.
|
2103.06311
|
Itamar Shamir
|
Christopher P. Herzog and Itamar Shamir
|
Anomalies from correlation functions in defect conformal field theory
| null | null |
10.1007/JHEP07(2021)091
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In previous work, we showed that an anomaly in the one point function of
marginal operators is related by the Wess-Zumino condition to the Euler density
anomaly on a two dimensional defect or boundary. Here we analyze in detail the
two point functions of marginal operators with the stress tensor and with the
displacement operator in three dimensions. We show how to get the boundary
anomaly from these bulk two point functions and find perfect agreement with our
anomaly effective action. For a higher dimensional conformal field theory with
a four dimensional defect, we describe for the first time the anomaly effective
action that relates the Euler density term to the one point function anomaly,
generalizing our result for two dimensional defects.
|
[
{
"created": "Wed, 10 Mar 2021 19:26:52 GMT",
"version": "v1"
}
] |
2021-07-28
|
[
[
"Herzog",
"Christopher P.",
""
],
[
"Shamir",
"Itamar",
""
]
] |
In previous work, we showed that an anomaly in the one point function of marginal operators is related by the Wess-Zumino condition to the Euler density anomaly on a two dimensional defect or boundary. Here we analyze in detail the two point functions of marginal operators with the stress tensor and with the displacement operator in three dimensions. We show how to get the boundary anomaly from these bulk two point functions and find perfect agreement with our anomaly effective action. For a higher dimensional conformal field theory with a four dimensional defect, we describe for the first time the anomaly effective action that relates the Euler density term to the one point function anomaly, generalizing our result for two dimensional defects.
|
2001.08664
|
Shajid Haque
|
Arpan Bhattacharyya, Saurya Das, S. Shajidul Haque, Bret Underwood
|
Cosmological Complexity
|
19 pages, 8 figures. Published version
|
Phys. Rev. D 101, 106020 (2020)
|
10.1103/PhysRevD.101.106020
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the quantum circuit complexity of the evolution of scalar
curvature perturbations on expanding backgrounds, using the language of
squeezed vacuum states. In particular, we construct a simple cosmological model
consisting of an early-time period of de Sitter expansion followed by a
radiation-dominated era and track the evolution of complexity throughout this
history. During early-time de Sitter expansion the complexity grows linearly
with the number of e-folds for modes outside the horizon. The evolution of
complexity also suggests that the Universe behaves like a chaotic system during
this era, for which we propose a scrambling time and Lyapunov exponent. During
the radiation-dominated era, however, the complexity decreases until it
"freezes in" after horizon re-entry, leading to a "de-complexification" of the
Universe.
|
[
{
"created": "Thu, 23 Jan 2020 17:02:07 GMT",
"version": "v1"
},
{
"created": "Thu, 21 May 2020 10:47:30 GMT",
"version": "v2"
}
] |
2020-05-22
|
[
[
"Bhattacharyya",
"Arpan",
""
],
[
"Das",
"Saurya",
""
],
[
"Haque",
"S. Shajidul",
""
],
[
"Underwood",
"Bret",
""
]
] |
We compute the quantum circuit complexity of the evolution of scalar curvature perturbations on expanding backgrounds, using the language of squeezed vacuum states. In particular, we construct a simple cosmological model consisting of an early-time period of de Sitter expansion followed by a radiation-dominated era and track the evolution of complexity throughout this history. During early-time de Sitter expansion the complexity grows linearly with the number of e-folds for modes outside the horizon. The evolution of complexity also suggests that the Universe behaves like a chaotic system during this era, for which we propose a scrambling time and Lyapunov exponent. During the radiation-dominated era, however, the complexity decreases until it "freezes in" after horizon re-entry, leading to a "de-complexification" of the Universe.
|
hep-th/0102186
|
Zvi Bern
|
Z. Bern (UCLA)
|
Perturbative Quantization of Gravity Theories
|
Talk presented at 5th International Symposium on Radiative
Corrections (RADCOR-2000), Carmel CA, September 11-15, 2000. Latex, 12 pages
| null | null |
UCLA/01/TEP/5
|
hep-th gr-qc hep-ph
| null |
We discuss string theory relations between gravity and gauge theory tree
amplitudes. Together with $D$-dimensional unitarity, these relations can be
used to perturbatively quantize gravity theories, i.e. they contain the
necessary information for calculating complete gravity $S$-matrices to any loop
orders. This leads to a practical method for computing non-trivial gravity
$S$-matrix elements by relating them to much simpler gauge theory ones. We also
describe arguments that N=8 D=4 supergravity is less divergent in the
ultraviolet than previously thought.
|
[
{
"created": "Tue, 27 Feb 2001 00:42:29 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Bern",
"Z.",
"",
"UCLA"
]
] |
We discuss string theory relations between gravity and gauge theory tree amplitudes. Together with $D$-dimensional unitarity, these relations can be used to perturbatively quantize gravity theories, i.e. they contain the necessary information for calculating complete gravity $S$-matrices to any loop orders. This leads to a practical method for computing non-trivial gravity $S$-matrix elements by relating them to much simpler gauge theory ones. We also describe arguments that N=8 D=4 supergravity is less divergent in the ultraviolet than previously thought.
|
2010.01353
|
Sergey Bondarenko
|
S.Bondarenko
|
CPTM symmetry, closed time paths and cosmological constant problem in
the formalism of extended manifold
|
30 pages, 1 fugure
| null |
10.1140/epjc/s10052-021-09045-4
| null |
gr-qc cond-mat.other hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The problem of the cosmological constant is considered in the formalism of an
extended space-time consisting of the extended classical solution of Einstein
equations. The different regions of the extended manifold are proposed to be
related by the charge, parity, time and mass (CPTM) reversal symmetry applied
with respect to the metric fields of the manifolds. There are interactions
between the points of the extended manifold provided by scalar fields present
separately in the different patches of the extended solution. The value of the
constant is obtained equal to zero at the classical level due the mutual
contribution of the fields in the vacuum energy, it's non-zero value is due the
quantum interactions between the fields. There are few possible scenario for
the actions of the fields are discussed. Each from the obtained variants is
similar to the closed time path approach of non-equilibrium condensed matter
physics and among these possibilities for the closed paths, there is a variant
of the action equivalent to the formalism of Keldysh. Accordingly, we consider
and shortly discuss the application of the proposed formalism to the problem of
smallness of the cosmological constant and singularities problem.
|
[
{
"created": "Sat, 3 Oct 2020 13:26:07 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Oct 2020 07:41:46 GMT",
"version": "v2"
},
{
"created": "Wed, 2 Dec 2020 11:25:19 GMT",
"version": "v3"
},
{
"created": "Thu, 18 Feb 2021 09:32:51 GMT",
"version": "v4"
}
] |
2021-04-07
|
[
[
"Bondarenko",
"S.",
""
]
] |
The problem of the cosmological constant is considered in the formalism of an extended space-time consisting of the extended classical solution of Einstein equations. The different regions of the extended manifold are proposed to be related by the charge, parity, time and mass (CPTM) reversal symmetry applied with respect to the metric fields of the manifolds. There are interactions between the points of the extended manifold provided by scalar fields present separately in the different patches of the extended solution. The value of the constant is obtained equal to zero at the classical level due the mutual contribution of the fields in the vacuum energy, it's non-zero value is due the quantum interactions between the fields. There are few possible scenario for the actions of the fields are discussed. Each from the obtained variants is similar to the closed time path approach of non-equilibrium condensed matter physics and among these possibilities for the closed paths, there is a variant of the action equivalent to the formalism of Keldysh. Accordingly, we consider and shortly discuss the application of the proposed formalism to the problem of smallness of the cosmological constant and singularities problem.
|
1609.06535
|
Xiao-Xiong Zeng
|
Xiao-Xiong Zeng, Li-Fang Li
|
Holographic phase transition probed by non-local observables
|
22 pages,37figures. arXiv admin note: text overlap with
arXiv:1601.01160, arXiv:1512.08855
|
Advances in High Energy Physics, 2016, 6153435
| null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by-nc-sa/4.0/
|
From the viewpoint of holography, the phase structure of a 5-dimensional
Reissner-Nordstr\"{o}m-AdS black hole is probed by the two point correlation
function, Wilson loop, and entanglement entropy. As the case of thermal
entropy, we find for all the probes, the black hole undergos a Hawking-Page
phase transition, a first order phase transition and a second order phase
transition successively before it reaches to a stable phase. In addition, for
these probes, we find the equal area law for the first order phase transition
is valid always and the critical exponent of the heat capacity for the second
order phase transition coincides with that of the mean field theory regardless
of the size of the boundary region.
|
[
{
"created": "Wed, 21 Sep 2016 12:54:44 GMT",
"version": "v1"
}
] |
2016-09-22
|
[
[
"Zeng",
"Xiao-Xiong",
""
],
[
"Li",
"Li-Fang",
""
]
] |
From the viewpoint of holography, the phase structure of a 5-dimensional Reissner-Nordstr\"{o}m-AdS black hole is probed by the two point correlation function, Wilson loop, and entanglement entropy. As the case of thermal entropy, we find for all the probes, the black hole undergos a Hawking-Page phase transition, a first order phase transition and a second order phase transition successively before it reaches to a stable phase. In addition, for these probes, we find the equal area law for the first order phase transition is valid always and the critical exponent of the heat capacity for the second order phase transition coincides with that of the mean field theory regardless of the size of the boundary region.
|
gr-qc/0208069
|
Khusnutdinov
|
S.V. Sushkov, S.-W. Kim
|
Wormholes supported by the kink-like configuration of a scalar field
|
11 pages, 11 eps figures, revtex4, accepted in Class.Quantum Grav
|
Class.Quant.Grav. 19 (2002) 4909-4922
|
10.1088/0264-9381/19/19/309
| null |
gr-qc
| null |
We study the problem of existence of static spherically symmetric wormholes
supported by the kink-like configuration of a scalar field. With this aim we
consider a self-consistent, real, nonlinear, nonminimally coupled scalar field
$\phi$ in general relativity with the symmetry-breaking potential $V(\phi)$
possessing two minima. We classify all possible field configurations ruling out
those of them for which wormhole solutions are impossible. Field configurations
admitting wormholes are investigated numerically. Such the configurations
represent a spherical domain wall localized near the wormhole throat.
|
[
{
"created": "Fri, 23 Aug 2002 12:01:27 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Sushkov",
"S. V.",
""
],
[
"Kim",
"S. -W.",
""
]
] |
We study the problem of existence of static spherically symmetric wormholes supported by the kink-like configuration of a scalar field. With this aim we consider a self-consistent, real, nonlinear, nonminimally coupled scalar field $\phi$ in general relativity with the symmetry-breaking potential $V(\phi)$ possessing two minima. We classify all possible field configurations ruling out those of them for which wormhole solutions are impossible. Field configurations admitting wormholes are investigated numerically. Such the configurations represent a spherical domain wall localized near the wormhole throat.
|
2404.15569
|
Cristobal Corral
|
Crist\'obal Corral, Daniel Flores-Alfonso, Gast\'on Giribet, Julio
Oliva
|
Self-gravitating solutions in Yang-Mills-Chern-Simons theory coupled to
3D massive gravity
|
v1: 16 pages
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We study self-gravitating solutions of 3-dimensional massive gravity coupled
to Yang-Mills-Chern-Simons gauge theory. Among these, there is a family of
asymptotically Warped-Anti de Sitter black holes that come to generalize
previous solutions found in the literature and studied in the context of
WAdS$_3$/CFT$_2$. We also present self-gravitating solutions to the
3-dimensional Einstein-Yang-Mills theory, as well as other self-gravitating
solutions in the presence of higher-curvature terms.
|
[
{
"created": "Tue, 23 Apr 2024 23:57:56 GMT",
"version": "v1"
}
] |
2024-04-25
|
[
[
"Corral",
"Cristóbal",
""
],
[
"Flores-Alfonso",
"Daniel",
""
],
[
"Giribet",
"Gastón",
""
],
[
"Oliva",
"Julio",
""
]
] |
We study self-gravitating solutions of 3-dimensional massive gravity coupled to Yang-Mills-Chern-Simons gauge theory. Among these, there is a family of asymptotically Warped-Anti de Sitter black holes that come to generalize previous solutions found in the literature and studied in the context of WAdS$_3$/CFT$_2$. We also present self-gravitating solutions to the 3-dimensional Einstein-Yang-Mills theory, as well as other self-gravitating solutions in the presence of higher-curvature terms.
|
1805.10306
|
Victor Alejandro Penas
|
G. Aldazabal, E. Andr\'es, M.Mayo, V. Penas
|
Symmetry enhancement interpolation, non-commutativity and Double Field
Theory
|
We have added several comments along the papers. The introduction has
been improved. Section 4.5 (SU(3) example) expanded and improved. Several
typos corrected. 46 pages, no figures
| null |
10.1007/JHEP03(2019)012
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a moduli dependent target space effective field theory action for
(truncated) heterotic string toroidal compactifications. When moving
continuously along moduli space, the stringy gauge symmetry
enhancement-breaking effects, which occur at particular points of moduli space,
are reproduced. Besides the expected fields, originated in the ten dimensional
low energy effective theory, a new vector and scalar fields are included. These
fields depend on "double periodic coordinates" as usually introduced in Double
Field Theory. Their mode expansion encodes information about string states,
carrying winding and KK momenta, associated to gauge symmetry enhancements.
Interestingly enough, it is found that a non-commutative product, which
introduces an intrinsic non-commutativity on the compact target space, is
required in order to make contact with string theory amplitude results.
|
[
{
"created": "Fri, 25 May 2018 18:12:41 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Mar 2019 20:21:58 GMT",
"version": "v2"
}
] |
2019-03-27
|
[
[
"Aldazabal",
"G.",
""
],
[
"Andrés",
"E.",
""
],
[
"Mayo",
"M.",
""
],
[
"Penas",
"V.",
""
]
] |
We present a moduli dependent target space effective field theory action for (truncated) heterotic string toroidal compactifications. When moving continuously along moduli space, the stringy gauge symmetry enhancement-breaking effects, which occur at particular points of moduli space, are reproduced. Besides the expected fields, originated in the ten dimensional low energy effective theory, a new vector and scalar fields are included. These fields depend on "double periodic coordinates" as usually introduced in Double Field Theory. Their mode expansion encodes information about string states, carrying winding and KK momenta, associated to gauge symmetry enhancements. Interestingly enough, it is found that a non-commutative product, which introduces an intrinsic non-commutativity on the compact target space, is required in order to make contact with string theory amplitude results.
|
1103.2598
|
Andrew Neitzke
|
Davide Gaiotto, Gregory W. Moore, Andrew Neitzke
|
Wall-Crossing in Coupled 2d-4d Systems
|
170 pages, 45 figures
| null |
10.1007/JHEP12(2012)082
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce a new wall-crossing formula which combines and generalizes the
Cecotti-Vafa and Kontsevich-Soibelman formulas for supersymmetric 2d and 4d
systems respectively. This 2d-4d wall-crossing formula governs the
wall-crossing of BPS states in an N=2 supersymmetric 4d gauge theory coupled to
a supersymmetric surface defect. When the theory and defect are compactified on
a circle, we get a 3d theory with a supersymmetric line operator, corresponding
to a hyperholomorphic connection on a vector bundle over a hyperkahler space.
The 2d-4d wall-crossing formula can be interpreted as a smoothness condition
for this hyperholomorphic connection. We explain how the 2d-4d BPS spectrum can
be determined for 4d theories of class S, that is, for those theories obtained
by compactifying the six-dimensional (0,2) theory with a partial topological
twist on a punctured Riemann surface C. For such theories there are canonical
surface defects. We illustrate with several examples in the case of A_1
theories of class S. Finally, we indicate how our results can be used to
produce solutions to the A_1 Hitchin equations on the Riemann surface C.
|
[
{
"created": "Mon, 14 Mar 2011 07:55:32 GMT",
"version": "v1"
}
] |
2015-05-27
|
[
[
"Gaiotto",
"Davide",
""
],
[
"Moore",
"Gregory W.",
""
],
[
"Neitzke",
"Andrew",
""
]
] |
We introduce a new wall-crossing formula which combines and generalizes the Cecotti-Vafa and Kontsevich-Soibelman formulas for supersymmetric 2d and 4d systems respectively. This 2d-4d wall-crossing formula governs the wall-crossing of BPS states in an N=2 supersymmetric 4d gauge theory coupled to a supersymmetric surface defect. When the theory and defect are compactified on a circle, we get a 3d theory with a supersymmetric line operator, corresponding to a hyperholomorphic connection on a vector bundle over a hyperkahler space. The 2d-4d wall-crossing formula can be interpreted as a smoothness condition for this hyperholomorphic connection. We explain how the 2d-4d BPS spectrum can be determined for 4d theories of class S, that is, for those theories obtained by compactifying the six-dimensional (0,2) theory with a partial topological twist on a punctured Riemann surface C. For such theories there are canonical surface defects. We illustrate with several examples in the case of A_1 theories of class S. Finally, we indicate how our results can be used to produce solutions to the A_1 Hitchin equations on the Riemann surface C.
|
1109.1534
|
Dan Israel
|
Luca Carlevaro and Dan Israel
|
Local models of heterotic flux vacua: spacetime and worldsheet aspects
|
Proceedings from a seminar given during the XVIth European Workshop
on String Theory 2010, Madrid, 14--18 June 2010; v2:refs added
|
Fortschritte der Physik, Volume 59, Issue 7-8, pages 716--722,
July 2011
|
10.1002/prop.201100018
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We report on some recent progress in understanding heterotic flux
compactifications, from a worldsheet perspective mainly. We consider local
models consisting in torus fibration over warped Eguchi-Hanson space and
non-K\"ahler resolved conifold geometries. We analyze the supergravity
solutions and define a double-scaling limit of the resolved singularities,
defined such that the geometry is smooth and weakly coupled. We show that,
remarkably, the heterotic solutions admit solvable worldsheet CFT descriptions
in this limit. This allows in particular to understand the important role of
worldsheet non-perturbative effects.
|
[
{
"created": "Wed, 7 Sep 2011 18:49:39 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Sep 2011 09:30:34 GMT",
"version": "v2"
}
] |
2011-09-28
|
[
[
"Carlevaro",
"Luca",
""
],
[
"Israel",
"Dan",
""
]
] |
We report on some recent progress in understanding heterotic flux compactifications, from a worldsheet perspective mainly. We consider local models consisting in torus fibration over warped Eguchi-Hanson space and non-K\"ahler resolved conifold geometries. We analyze the supergravity solutions and define a double-scaling limit of the resolved singularities, defined such that the geometry is smooth and weakly coupled. We show that, remarkably, the heterotic solutions admit solvable worldsheet CFT descriptions in this limit. This allows in particular to understand the important role of worldsheet non-perturbative effects.
|
1706.05192
|
Romanczukiewicz Tomasz Ph.D.
|
Tomasz Roma\'nczukiewicz
|
Could the primordial radiation be responsible for vanishing of
topological defects?
|
5 pages, 3 figures, additional 3 movies (simulations)
| null |
10.1016/j.physletb.2017.08.045
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the motion of topological defects in 1+1 and 2+1 d relativistic
$\phi^6$ model with three equal vacua in the presence of radiation. We show
that even small fluctuations can trigger a chain reaction leading to vanishing
of topological defects. Only one vacuum remains stable and domains containing
other vacua vanish. We explain this phenomenon in terms of radiation pressure
(both positive and negative). We construct an effective model which translates
the fluctuations into additional term in the field theory potential. In case of
two dimensional model we find a relation between the critical size of the bulk
and amplitude of the perturbation.
|
[
{
"created": "Fri, 16 Jun 2017 09:22:21 GMT",
"version": "v1"
}
] |
2017-11-22
|
[
[
"Romańczukiewicz",
"Tomasz",
""
]
] |
We study the motion of topological defects in 1+1 and 2+1 d relativistic $\phi^6$ model with three equal vacua in the presence of radiation. We show that even small fluctuations can trigger a chain reaction leading to vanishing of topological defects. Only one vacuum remains stable and domains containing other vacua vanish. We explain this phenomenon in terms of radiation pressure (both positive and negative). We construct an effective model which translates the fluctuations into additional term in the field theory potential. In case of two dimensional model we find a relation between the critical size of the bulk and amplitude of the perturbation.
|
hep-th/0201161
|
Harald Dorn
|
Harald Dorn (Humboldt Univ. Berlin)
|
Gauge invariant operators in field theories on non-commutative spaces
|
7 pages, Latex, to appear in the Proceedings of the RTN meeting ``The
Quantum Structure of Spacetime and the Geometric Nature of Fundamental
Interactions'', Corfu, September 13-20, 2001
|
Fortsch.Phys. 50 (2002) 884-889
|
10.1002/1521-3978(200209)50:8/9<884::AID-PROP884>3.0.CO;2-B
|
HU Berlin-EP-02/02
|
hep-th
| null |
We review some selected aspects of the construction of gauge invariant
operators in field theories on non-commutative spaces and their relation to the
energy momentum tensor as well as to the non-commutative loop equations.
|
[
{
"created": "Mon, 21 Jan 2002 16:17:51 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Dorn",
"Harald",
"",
"Humboldt Univ. Berlin"
]
] |
We review some selected aspects of the construction of gauge invariant operators in field theories on non-commutative spaces and their relation to the energy momentum tensor as well as to the non-commutative loop equations.
|
hep-th/9705014
|
Leonid Chekhov
|
L. Chekhov and K. Zarembo
|
Effective Action and Measure in Matrix Model of IIB Superstrings
|
9pp., Latex; v2: the discussion of the large N limit of the induced
measure is substantially expanded
|
Mod.Phys.Lett. A12 (1997) 2331-2340
|
10.1142/S0217732397002417
|
ITEP-TH-18/97
|
hep-th
| null |
We calculate an effective action and measure induced by the integration over
the auxiliary field in the matrix model recently proposed to describe IIB
superstrings. It is shown that the measure of integration over the auxiliary
matrix is uniquely determined by locality and reparametrization invariance of
the resulting effective action. The large--$N$ limit of the induced measure for
string coordinates is discussed in detail. It is found to be ultralocal and,
thus, possibly is irrelevant in the continuum limit. The model of the GKM type
is considered in relation to the effective action problem.
|
[
{
"created": "Sun, 4 May 1997 14:25:46 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Jul 1997 12:15:02 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Chekhov",
"L.",
""
],
[
"Zarembo",
"K.",
""
]
] |
We calculate an effective action and measure induced by the integration over the auxiliary field in the matrix model recently proposed to describe IIB superstrings. It is shown that the measure of integration over the auxiliary matrix is uniquely determined by locality and reparametrization invariance of the resulting effective action. The large--$N$ limit of the induced measure for string coordinates is discussed in detail. It is found to be ultralocal and, thus, possibly is irrelevant in the continuum limit. The model of the GKM type is considered in relation to the effective action problem.
|
1505.02413
|
Zurab Kakushadze
|
Zura Kakushadze
|
Quantization Rules for Dynamical Systems
|
5 pages; two misprints corrected
|
Ukrainian Journal of Physics 61(2) (2016) 95-97
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss a manifestly covariant way of arriving at the quantization rules
based on causality, with no reference to Poisson or Peierls brackets of any
kind.
|
[
{
"created": "Sun, 10 May 2015 17:53:24 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Nov 2015 07:20:42 GMT",
"version": "v2"
}
] |
2016-02-24
|
[
[
"Kakushadze",
"Zura",
""
]
] |
We discuss a manifestly covariant way of arriving at the quantization rules based on causality, with no reference to Poisson or Peierls brackets of any kind.
|
hep-th/0003226
|
Yolanda Lozano
|
Yolanda Lozano
|
Non-BPS D-brane Solutions in Six Dimensional Orbifolds
|
13 pages, latex file, transverse metric corrected, some changes in
section 5
|
Phys.Lett. B487 (2000) 180-186
|
10.1016/S0370-2693(00)00804-2
|
CERN-TH/2000-096
|
hep-th
| null |
Starting with the non-BPS D0-brane solution of IIB/$(-1)^{F_L}I_4$
constructed recently by Eyras and Panda we construct via T-duality the non-BPS
D2-brane and D1-brane solutions of IIB/$(-1)^{F_L}I_4$ and IIA/$(-1)^{F_L}I_4$
predicted by Sen. The D2-brane couples magnetically to the vector field of the
NS5B-brane living in the twisted sector of the Type IIB orbifold, whereas the
D1-brane couples (electrically and magnetically) to the self-dual 2-form
potential of the NS5A-brane that is present in the twisted sector of the Type
IIA orbifold construction. Finally we discuss the eleven dimensional
interpretation of these branes as originating from a non-BPS M1-brane solution
of M-theory orientifolded by $\Omega_\rho I_5$.
|
[
{
"created": "Fri, 24 Mar 2000 20:43:54 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Mar 2000 20:00:35 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Mar 2000 16:19:00 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Lozano",
"Yolanda",
""
]
] |
Starting with the non-BPS D0-brane solution of IIB/$(-1)^{F_L}I_4$ constructed recently by Eyras and Panda we construct via T-duality the non-BPS D2-brane and D1-brane solutions of IIB/$(-1)^{F_L}I_4$ and IIA/$(-1)^{F_L}I_4$ predicted by Sen. The D2-brane couples magnetically to the vector field of the NS5B-brane living in the twisted sector of the Type IIB orbifold, whereas the D1-brane couples (electrically and magnetically) to the self-dual 2-form potential of the NS5A-brane that is present in the twisted sector of the Type IIA orbifold construction. Finally we discuss the eleven dimensional interpretation of these branes as originating from a non-BPS M1-brane solution of M-theory orientifolded by $\Omega_\rho I_5$.
|
1510.07856
|
Ghanashyam Date
|
Ghanashyam Date and Sk Jahanur Hoque
|
Gravitational Waves from Compact Sources in de Sitter Background
|
53 pages, 4 figures. Version includes minor corrections and is
matched with the published version
|
Phys. Rev. D 94, 064039 (2016)
|
10.1103/PhysRevD.94.064039
|
IMSc/2015/10/07
|
gr-qc hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The concordance model of cosmology favours a universe with a tiny positive
cosmological constant. A tiniest positive constant curvature, profoundly alters
the asymptotic structure, forcing a re-look at a theory of gravitational
radiation. Even for compact astrophysical sources, the intuition from Minkowski
background is challenged at every step. Nevertheless, at least for candidate
sources such as compact binaries, it is possible to quantify influence of the
cosmological constant, as small corrections to the leading order Minkowski
background results. Employing suitably chosen Fermi normal coordinates in the
static patch of the de Sitter background, we compute the field due to a compact
source to first order in $\Lambda$. For contrast, we also present the field in
the Poincare patch where the leading correction is in $\sqrt{\Lambda}$. We
introduce a gauge invariant quantity, {\em deviation scalar}, containing
polarization information and compute it in both charts for a comparison.
|
[
{
"created": "Tue, 27 Oct 2015 10:52:39 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Jun 2016 05:45:51 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Aug 2016 08:50:35 GMT",
"version": "v3"
},
{
"created": "Thu, 15 Sep 2016 09:32:26 GMT",
"version": "v4"
}
] |
2016-09-21
|
[
[
"Date",
"Ghanashyam",
""
],
[
"Hoque",
"Sk Jahanur",
""
]
] |
The concordance model of cosmology favours a universe with a tiny positive cosmological constant. A tiniest positive constant curvature, profoundly alters the asymptotic structure, forcing a re-look at a theory of gravitational radiation. Even for compact astrophysical sources, the intuition from Minkowski background is challenged at every step. Nevertheless, at least for candidate sources such as compact binaries, it is possible to quantify influence of the cosmological constant, as small corrections to the leading order Minkowski background results. Employing suitably chosen Fermi normal coordinates in the static patch of the de Sitter background, we compute the field due to a compact source to first order in $\Lambda$. For contrast, we also present the field in the Poincare patch where the leading correction is in $\sqrt{\Lambda}$. We introduce a gauge invariant quantity, {\em deviation scalar}, containing polarization information and compute it in both charts for a comparison.
|
hep-th/9810132
|
Emanuel Diaconescu
|
Duiliu-Emanuel Diaconescu, Jaume Gomis
|
Neveu-Schwarz Five-Branes at Orbifold Singularities and Holography
|
20 pages, harvmac. Modified description of the world-sheet CFT as
explained in note added. Operator matching extended to arbitrary n.
References and acknowledgment added
|
Nucl.Phys. B548 (1999) 258-274
|
10.1016/S0550-3213(99)80003-0
|
IASSNS-HEP-98/86, RU-98-44, SU-ITP-98-56
|
hep-th
| null |
We consider Type IIB Neveu-Schwarz five-branes transverse to C^2/Z_n
orbifolds and conjecture that string theory on the near horizon geometry is
dual to the decoupled theory on the branes. We analyze the conformal field
theory describing the near horizon region and the world volume non-critical
string theory. The modular invariance consistency condition of string theory is
exactly reproduced as the gauge anomaly cancellation condition in the little
string theories. We comment on aspects of the holographic nature of this
duality.
|
[
{
"created": "Fri, 16 Oct 1998 22:45:19 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Dec 1998 18:50:16 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Diaconescu",
"Duiliu-Emanuel",
""
],
[
"Gomis",
"Jaume",
""
]
] |
We consider Type IIB Neveu-Schwarz five-branes transverse to C^2/Z_n orbifolds and conjecture that string theory on the near horizon geometry is dual to the decoupled theory on the branes. We analyze the conformal field theory describing the near horizon region and the world volume non-critical string theory. The modular invariance consistency condition of string theory is exactly reproduced as the gauge anomaly cancellation condition in the little string theories. We comment on aspects of the holographic nature of this duality.
|
1204.3001
|
David Beke
|
David Beke
|
Scalar-Tensor theories from $\Lambda(\phi)$ Plebanski gravity
|
21 pages
| null |
10.1088/1742-6596/360/1/012043
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a modification of the Plebanski action, which generically
corresponds to a bi-metric theory of gravity, and identify a subclass which is
equivalent to the Bergmann-Wagoner-Nordtvedt class of scalar-tensor theories.
In this manner, scalar-tensor theories are displayed as constrained BF
theories. We find that in this subclass, there is no need to impose reality of
the Urbantke metrics, as also the theory with real bivectors is a scalar-tensor
theory with a real Lorentzian metric. Furthermore, while under the former
reality conditions instabilities can arise from a wrong sign of the scalar mode
kinetic term, we show that such problems do not appear if the bivectors are
required to be real. Finally, we discuss how matter can be coupled to these
theories. The phenomenology of scalar field dark matter arises naturally within
this framework.
|
[
{
"created": "Fri, 13 Apr 2012 14:11:49 GMT",
"version": "v1"
}
] |
2015-06-04
|
[
[
"Beke",
"David",
""
]
] |
We study a modification of the Plebanski action, which generically corresponds to a bi-metric theory of gravity, and identify a subclass which is equivalent to the Bergmann-Wagoner-Nordtvedt class of scalar-tensor theories. In this manner, scalar-tensor theories are displayed as constrained BF theories. We find that in this subclass, there is no need to impose reality of the Urbantke metrics, as also the theory with real bivectors is a scalar-tensor theory with a real Lorentzian metric. Furthermore, while under the former reality conditions instabilities can arise from a wrong sign of the scalar mode kinetic term, we show that such problems do not appear if the bivectors are required to be real. Finally, we discuss how matter can be coupled to these theories. The phenomenology of scalar field dark matter arises naturally within this framework.
|
hep-th/9705130
|
Matthias Gaberdiel
|
O. Bergman, M.R. Gaberdiel, G. Lifschytz
|
Branes, Orientifolds and the Creation of Elementary Strings
|
24 pages, LaTeX, 4 postscript-figures; substantial changes to
sections 2 and 3
|
Nucl.Phys. B509 (1998) 194-215
|
10.1016/S0550-3213(97)00632-9
|
HUTP-97/A022, BRX TH-413, PUPT-1703
|
hep-th
| null |
The potential of a configuration of two Dirichlet branes for which the number
of ND-directions is eight is determined. Depending on whether one of the branes
is an anti-brane or a brane, the potential vanishes or is twice as large as the
dilaton-gravitational potential. This is shown to be related to the fact that a
fundamental string is created when two such branes cross. Special emphasis is
given to the D0-D8 system, for which an interpretation of these results in
terms of the massive IIA supergravity is presented. It is also shown that the
branes cannot move non-adiabatically in the transverse direction. The
configuration of a zero brane and an orientifold 8-plane is analyzed in a
similar way, and some implications for the type IA-heterotic duality and the
heterotic matrix theory are discussed.
|
[
{
"created": "Sun, 18 May 1997 20:41:31 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jun 1997 16:04:25 GMT",
"version": "v2"
},
{
"created": "Tue, 4 Nov 1997 15:48:02 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Bergman",
"O.",
""
],
[
"Gaberdiel",
"M. R.",
""
],
[
"Lifschytz",
"G.",
""
]
] |
The potential of a configuration of two Dirichlet branes for which the number of ND-directions is eight is determined. Depending on whether one of the branes is an anti-brane or a brane, the potential vanishes or is twice as large as the dilaton-gravitational potential. This is shown to be related to the fact that a fundamental string is created when two such branes cross. Special emphasis is given to the D0-D8 system, for which an interpretation of these results in terms of the massive IIA supergravity is presented. It is also shown that the branes cannot move non-adiabatically in the transverse direction. The configuration of a zero brane and an orientifold 8-plane is analyzed in a similar way, and some implications for the type IA-heterotic duality and the heterotic matrix theory are discussed.
|
hep-th/0304219
|
Inyong Cho
|
Inyong Cho (LPT, Orsay) and Alexander Vilenkin (Tufts University)
|
Gravity of superheavy higher-dimensional global defects
|
19 pages, revtex, 6 eps figures
|
Phys.Rev. D68 (2003) 025013
|
10.1103/PhysRevD.68.025013
|
LPT-ORSAY 03-32
|
hep-th gr-qc
| null |
Numerical solutions of Einstein's and scalar-field equations are found for a
global defect in a higher-dimensional spacetime. The defect has a
$(3+1)$-dimensional core and a ``hedgehog'' scalar-field configuration in $n=3$
extra dimensions. For sufficiently low symmetry-breaking scales $\eta$, the
solutions are characterized by a flat worldsheet geometry and a constant solid
deficit angle in the extra dimensions, in agreement with previous work. For
$\eta$ above the higher-dimensional Planck scale, we find that static-defect
solutions are singular. The singularity can be removed if the requirement of
staticity is relaxed and defect cores are allowed to inflate. We obtain an
analytic solution for the metric of such inflating defects at large distances
from the core. The three extra dimensions of the nonsingular solutions have a
``cigar'' geometry. Although our numerical solutions were obtained for defects
of codimension $n=3$, we argue that the conclusions are likely to apply to all
$n\geq 3$.
|
[
{
"created": "Fri, 25 Apr 2003 16:51:45 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Cho",
"Inyong",
"",
"LPT, Orsay"
],
[
"Vilenkin",
"Alexander",
"",
"Tufts University"
]
] |
Numerical solutions of Einstein's and scalar-field equations are found for a global defect in a higher-dimensional spacetime. The defect has a $(3+1)$-dimensional core and a ``hedgehog'' scalar-field configuration in $n=3$ extra dimensions. For sufficiently low symmetry-breaking scales $\eta$, the solutions are characterized by a flat worldsheet geometry and a constant solid deficit angle in the extra dimensions, in agreement with previous work. For $\eta$ above the higher-dimensional Planck scale, we find that static-defect solutions are singular. The singularity can be removed if the requirement of staticity is relaxed and defect cores are allowed to inflate. We obtain an analytic solution for the metric of such inflating defects at large distances from the core. The three extra dimensions of the nonsingular solutions have a ``cigar'' geometry. Although our numerical solutions were obtained for defects of codimension $n=3$, we argue that the conclusions are likely to apply to all $n\geq 3$.
|
hep-th/9910017
|
HGirotti
|
H. O. Girotti, Victor O. Rivelles
|
Gauge Dependence in the AdS/CFT Correspondence
|
13 pages, REVTEX, misprints in the abstract corrected. Minor changes.
Version to be published
|
Int.J.Mod.Phys. A15 (2000) 4379
|
10.1142/S0217751X00001439
| null |
hep-th
| null |
We consider the AdS space formulation of the classical dynamics deriving from
the Stueckelberg Lagrangian. The on-shell action is shown to be free of
infrared singularities as the vector boson mass tends to zero. In this limit
the model becomes Maxwell theory formulated in an arbitrary covariant gauge.
Then we use the AdS/CFT correspondence to compute the two-point correlation
functions on the boundary. It is shown that the gauge dependence concentrates
on the contact terms.
|
[
{
"created": "Fri, 1 Oct 1999 21:44:26 GMT",
"version": "v1"
},
{
"created": "Mon, 22 May 2000 21:07:43 GMT",
"version": "v2"
}
] |
2016-12-28
|
[
[
"Girotti",
"H. O.",
""
],
[
"Rivelles",
"Victor O.",
""
]
] |
We consider the AdS space formulation of the classical dynamics deriving from the Stueckelberg Lagrangian. The on-shell action is shown to be free of infrared singularities as the vector boson mass tends to zero. In this limit the model becomes Maxwell theory formulated in an arbitrary covariant gauge. Then we use the AdS/CFT correspondence to compute the two-point correlation functions on the boundary. It is shown that the gauge dependence concentrates on the contact terms.
|
1711.07942
|
S. Weinzierl
|
Leonardo de la Cruz, Alexander Kniss and Stefan Weinzierl
|
Properties of scattering forms and their relation to associahedra
|
40 pages, version to be published
| null |
10.1007/JHEP03(2018)064
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the half-integrands in the CHY representation of tree amplitudes
give rise to the definition of differential forms -- the scattering forms -- on
the moduli space of a Riemann sphere with $n$ marked points. These differential
forms have some remarkable properties. We show that all singularities are on
the divisor $\overline{\mathcal M}_{0,n} \backslash {\mathcal M}_{0,n}$. Each
singularity is logarithmic and the residue factorises into two differential
forms of lower points. In order for this to work, we provide a threefold
generalisation of the CHY polarisation factor (also known as reduced Pfaffian)
towards off-shell momenta, unphysical polarisations and away from the solutions
of the scattering equations. We discuss explicitly the cases of bi-adjoint
scalar amplitudes, Yang-Mills amplitudes and gravity amplitudes.
|
[
{
"created": "Tue, 21 Nov 2017 18:05:11 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Feb 2018 21:34:18 GMT",
"version": "v2"
}
] |
2018-04-04
|
[
[
"de la Cruz",
"Leonardo",
""
],
[
"Kniss",
"Alexander",
""
],
[
"Weinzierl",
"Stefan",
""
]
] |
We show that the half-integrands in the CHY representation of tree amplitudes give rise to the definition of differential forms -- the scattering forms -- on the moduli space of a Riemann sphere with $n$ marked points. These differential forms have some remarkable properties. We show that all singularities are on the divisor $\overline{\mathcal M}_{0,n} \backslash {\mathcal M}_{0,n}$. Each singularity is logarithmic and the residue factorises into two differential forms of lower points. In order for this to work, we provide a threefold generalisation of the CHY polarisation factor (also known as reduced Pfaffian) towards off-shell momenta, unphysical polarisations and away from the solutions of the scattering equations. We discuss explicitly the cases of bi-adjoint scalar amplitudes, Yang-Mills amplitudes and gravity amplitudes.
|
hep-th/9510242
|
Nam SoonKeon
|
Changhyun Ahn and Soonkeon Nam
|
Yangian Symmetries in the $SU(N)_1$ WZW Model and the
Calogero-Sutherland Model
|
12 pages, Latex; Errors in the previous version are corrected and new
results on spinons are included
|
Phys.Lett.B378:107-112,1996
|
10.1016/0370-2693(96)00402-9
|
SNUTP/95-113
|
hep-th cond-mat
| null |
We study the $SU(N)$, level $1$ Wess-Zumino-Witten model, with affine primary
fields as spinon fields of fundamental representation. By evaluating the action
of the Yangian generators $Q_{0}^{a}, Q_{1}^{a}$ and the Hamiltonian $H_2$ on
two spinon states we get a new connection between this conformal field theory
and the Calogero-Sutherland model with $SU(N)$ spin. This connection clearly
confirms the need for the $W_3$ generator in $H_2$ and an additional term in
the $Q^{a}_{1}$. We also evaluate some energy spectra of $H_2$, by acting it on
multi-spinon states.
|
[
{
"created": "Wed, 1 Nov 1995 06:53:59 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Nov 1995 05:20:03 GMT",
"version": "v2"
}
] |
2010-02-05
|
[
[
"Ahn",
"Changhyun",
""
],
[
"Nam",
"Soonkeon",
""
]
] |
We study the $SU(N)$, level $1$ Wess-Zumino-Witten model, with affine primary fields as spinon fields of fundamental representation. By evaluating the action of the Yangian generators $Q_{0}^{a}, Q_{1}^{a}$ and the Hamiltonian $H_2$ on two spinon states we get a new connection between this conformal field theory and the Calogero-Sutherland model with $SU(N)$ spin. This connection clearly confirms the need for the $W_3$ generator in $H_2$ and an additional term in the $Q^{a}_{1}$. We also evaluate some energy spectra of $H_2$, by acting it on multi-spinon states.
|
hep-th/0012177
|
Ennio Gozzi
|
E.Deotto, E.Gozzi
|
On the "Universal" N=2 Supersymmetry of Classical Mechanics
|
few misprints fixed with respect to Int.Jour.Mod.Phys.A vol 16, no15
(2001) 2709
|
Int.J.Mod.Phys.A16:2709,2001
|
10.1142/S0217751X01004190
| null |
hep-th
| null |
In this paper we continue the study of the geometrical features of a
functional approach to classical mechanics proposed some time ago. In
particular we try to shed some light on a N=2 "universal" supersymmetry which
seems to have an interesting interplay with the concept of ergodicity of the
system. To study the geometry better we make this susy local and clarify
pedagogically several issues present in the literature. Secondly, in order to
prepare the ground for a better understanding of its relation to ergodicity, we
study the system on constant energy surfaces. We find that the procedure of
constraining the system on these surfaces injects in it some local grassmannian
invariances and reduces the N=2 global susy to an N=1.
|
[
{
"created": "Tue, 19 Dec 2000 18:03:23 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Jan 2001 13:09:57 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Mar 2001 13:18:49 GMT",
"version": "v3"
},
{
"created": "Thu, 18 Oct 2001 14:02:02 GMT",
"version": "v4"
}
] |
2014-11-18
|
[
[
"Deotto",
"E.",
""
],
[
"Gozzi",
"E.",
""
]
] |
In this paper we continue the study of the geometrical features of a functional approach to classical mechanics proposed some time ago. In particular we try to shed some light on a N=2 "universal" supersymmetry which seems to have an interesting interplay with the concept of ergodicity of the system. To study the geometry better we make this susy local and clarify pedagogically several issues present in the literature. Secondly, in order to prepare the ground for a better understanding of its relation to ergodicity, we study the system on constant energy surfaces. We find that the procedure of constraining the system on these surfaces injects in it some local grassmannian invariances and reduces the N=2 global susy to an N=1.
|
1509.04645
|
Georgi Dvali
|
Gia Dvali
|
Non-Thermal Corrections to Hawking Radiation Versus the Information
Paradox
|
5 pages, Latex
| null |
10.1002/prop.201500096
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a model-independent argument indicating that for a black hole of
entropy N the non-thermal deviations from Hawking radiation, per each emission
time, are of order 1/N, as opposed to exp(-N). This fact abolishes the standard
a priory basis for the information paradox.
|
[
{
"created": "Tue, 15 Sep 2015 17:10:49 GMT",
"version": "v1"
}
] |
2016-12-21
|
[
[
"Dvali",
"Gia",
""
]
] |
We provide a model-independent argument indicating that for a black hole of entropy N the non-thermal deviations from Hawking radiation, per each emission time, are of order 1/N, as opposed to exp(-N). This fact abolishes the standard a priory basis for the information paradox.
|
2001.06569
|
Pardyumn Kumar Sahoo
|
S. Bhattacharjee, P.K. Sahoo
|
Temporally Varying Universal Gravitational "Constant" and Speed of Light
in Energy Momentum Squared Gravity
|
8 pages, 6 figures, Accepted version in The European Physical Journal
Plus
|
Eur. Phys. J. Plus, 135(1), 86, 2020
|
10.1140/epjp/s13360-020-00116-1
| null |
gr-qc hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Energy Momentum Squared Gravity (EMSG) is a cosmological model where the
scale factor is non vanishing at all times and hence does not favor big bang
cosmology. However, the profile of density in the radiation dominated universe
shows that EMSG supports inflationary cosmology. Inflationary cosmological
models are successful in providing convincing answers to major cosmological
issues like horizon problem, flatness problem and small value of cosmological
constant but hitherto no model of inflation has been observationally confirmed.
Owing to this, Varying Speed of Light (VSL) were introduced which are a class
of cosmological models which disfavor inflation and propose an alternative
route to solve these cosmological issues by just allowing the speed of light
(and Newtonian Gravitational constant) to vary. VSL theories were motivated to
address the shortcomings of inflation but do not address the shortcomings
related to the initial big bang singularity. In this spirit, we present here a
novel cosmological model which is free from both the "initial big bang
singularity" and "inflation" by incorporating a mutually varying speed of light
$c(t)$ and Newtonian gravitational constant $G(t)$ in the framework of EMSG. We
report that in EMSG, for a dust universe ($\omega=0$), cosmological models for
a time varying $c(t)$ and $G(t)$ and constant $c$ and $G$ are
indistinguishable, whereas for a radiation dominated universe ($\omega = 1/3$),
a mutually varying $c(t)$ and $G(t)$ provides an exiting alternative to
inflationary cosmology which is also free from initial big bang singularity. We
further report that for an ansatz of scale factor representing a bouncing
cosmological model, the VSL theory can be applied to a quadratic $T$ gravity
model to get rid of "inflation" and "big bang singularity" and concurrently
solve the above mentioned cosmological enigmas.
|
[
{
"created": "Sat, 18 Jan 2020 00:51:26 GMT",
"version": "v1"
}
] |
2020-01-22
|
[
[
"Bhattacharjee",
"S.",
""
],
[
"Sahoo",
"P. K.",
""
]
] |
Energy Momentum Squared Gravity (EMSG) is a cosmological model where the scale factor is non vanishing at all times and hence does not favor big bang cosmology. However, the profile of density in the radiation dominated universe shows that EMSG supports inflationary cosmology. Inflationary cosmological models are successful in providing convincing answers to major cosmological issues like horizon problem, flatness problem and small value of cosmological constant but hitherto no model of inflation has been observationally confirmed. Owing to this, Varying Speed of Light (VSL) were introduced which are a class of cosmological models which disfavor inflation and propose an alternative route to solve these cosmological issues by just allowing the speed of light (and Newtonian Gravitational constant) to vary. VSL theories were motivated to address the shortcomings of inflation but do not address the shortcomings related to the initial big bang singularity. In this spirit, we present here a novel cosmological model which is free from both the "initial big bang singularity" and "inflation" by incorporating a mutually varying speed of light $c(t)$ and Newtonian gravitational constant $G(t)$ in the framework of EMSG. We report that in EMSG, for a dust universe ($\omega=0$), cosmological models for a time varying $c(t)$ and $G(t)$ and constant $c$ and $G$ are indistinguishable, whereas for a radiation dominated universe ($\omega = 1/3$), a mutually varying $c(t)$ and $G(t)$ provides an exiting alternative to inflationary cosmology which is also free from initial big bang singularity. We further report that for an ansatz of scale factor representing a bouncing cosmological model, the VSL theory can be applied to a quadratic $T$ gravity model to get rid of "inflation" and "big bang singularity" and concurrently solve the above mentioned cosmological enigmas.
|
hep-th/0209068
|
Mohammad R. Garousi
|
Mohammad R. Garousi
|
On-shell S-matrix and tachyonic effective actions
|
Latex, 15 pages, no figures, some numbers are corrected
|
Nucl.Phys. B647 (2002) 117-130
|
10.1016/S0550-3213(02)00903-3
|
IPM/P-2002/038
|
hep-th
| null |
We evaluate various disk level four-point functions involving the massless
scalar and tachyon vertex operators in the presence of background B-flux in
superstring theory. By studying these amplitudes in specific limits, we find
couplings of two scalars with two tachyons, and couplings of four tachyons on
the world-volume of non-BPS D-branes of superstring theory. They are fully
consistent with the non-commutative tachyonic Dirac-Born-Infeld effective
action. They also fix the coefficient of $T^4$ term in the expansion of the
tachyon potential around its maximum.
|
[
{
"created": "Sun, 8 Sep 2002 13:13:46 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Sep 2002 14:35:45 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Mar 2003 07:16:04 GMT",
"version": "v3"
}
] |
2010-04-05
|
[
[
"Garousi",
"Mohammad R.",
""
]
] |
We evaluate various disk level four-point functions involving the massless scalar and tachyon vertex operators in the presence of background B-flux in superstring theory. By studying these amplitudes in specific limits, we find couplings of two scalars with two tachyons, and couplings of four tachyons on the world-volume of non-BPS D-branes of superstring theory. They are fully consistent with the non-commutative tachyonic Dirac-Born-Infeld effective action. They also fix the coefficient of $T^4$ term in the expansion of the tachyon potential around its maximum.
|
1707.04429
|
Zhonghua Li
|
Limei Zhang, Xiaoxiong Zeng, Zhonghua Li
|
AdS Black Hole with Phantom Scalar Field
|
6 pages, 8 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we present an AdS black hole solution with Ricci flat horizon
in Einstein-phantom scalar theory. The phantom scalar fields just depend on the
transverse coordinates $x$ and $y$, and which are parameterized by the
parameter $\alpha$. We study the thermodynamics of the AdS phantom black hole.
Although its horizon is a Ricci flat Euclidean space, we find that the
thermodynamical properties of the black hole solution are qualitatively same as
those of AdS Schwarzschild black hole. Namely there exists a minimal
temperature, the large black hole is thermodynamically stable , while the
smaller one is unstable, so there is a so-called Hawking-Page phase transition
between the large black hole and the thermal gas solution in the AdS spacetime
in Poincare coordinates. We also calculate the entanglement entropy for a strip
geometry dual to the AdS phantom black holes and find that the behavior of the
entanglement entropy is qualitatively the same as that of the black hole
thermodynamical entropy.
|
[
{
"created": "Fri, 14 Jul 2017 09:28:57 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jul 2017 17:58:32 GMT",
"version": "v2"
}
] |
2017-07-28
|
[
[
"Zhang",
"Limei",
""
],
[
"Zeng",
"Xiaoxiong",
""
],
[
"Li",
"Zhonghua",
""
]
] |
In this paper, we present an AdS black hole solution with Ricci flat horizon in Einstein-phantom scalar theory. The phantom scalar fields just depend on the transverse coordinates $x$ and $y$, and which are parameterized by the parameter $\alpha$. We study the thermodynamics of the AdS phantom black hole. Although its horizon is a Ricci flat Euclidean space, we find that the thermodynamical properties of the black hole solution are qualitatively same as those of AdS Schwarzschild black hole. Namely there exists a minimal temperature, the large black hole is thermodynamically stable , while the smaller one is unstable, so there is a so-called Hawking-Page phase transition between the large black hole and the thermal gas solution in the AdS spacetime in Poincare coordinates. We also calculate the entanglement entropy for a strip geometry dual to the AdS phantom black holes and find that the behavior of the entanglement entropy is qualitatively the same as that of the black hole thermodynamical entropy.
|
hep-th/9906226
|
Vijay Balasubramanian
|
Vijay Balasubramanian and Simon F. Ross
|
Holographic Particle Detection
|
26 pages, LaTeX, 7 figures, uses epsf.sty
|
Phys.Rev. D61 (2000) 044007
|
10.1103/PhysRevD.61.044007
|
HUTP-99/A032, UCSBTH-99-1
|
hep-th
| null |
In anti-de Sitter (AdS) space, classical supergravity solutions are
represented "holographically" by conformal field theory (CFT) states in which
operators have expectation values. These 1-point functions are directly related
to the asymptotic behaviour of bulk fields. In some cases, distinct
supergravity solutions have identical asymptotic behaviour; so dual expectation
values are insufficient to distinguish them. We argue that non-local objects in
the gauge theory can resolve the ambiguity, and explicitly show that
collections of point particles in AdS_3 can be detected by studying kinks in
dual CFT Green functions. Three dimensional black holes can be formed by
collision of such particles. We show how black hole formation can be detected
in the holographic dual, and calculate CFT quantities that are sensitive to the
distribution of matter inside the event horizon.
|
[
{
"created": "Tue, 29 Jun 1999 04:22:10 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Balasubramanian",
"Vijay",
""
],
[
"Ross",
"Simon F.",
""
]
] |
In anti-de Sitter (AdS) space, classical supergravity solutions are represented "holographically" by conformal field theory (CFT) states in which operators have expectation values. These 1-point functions are directly related to the asymptotic behaviour of bulk fields. In some cases, distinct supergravity solutions have identical asymptotic behaviour; so dual expectation values are insufficient to distinguish them. We argue that non-local objects in the gauge theory can resolve the ambiguity, and explicitly show that collections of point particles in AdS_3 can be detected by studying kinks in dual CFT Green functions. Three dimensional black holes can be formed by collision of such particles. We show how black hole formation can be detected in the holographic dual, and calculate CFT quantities that are sensitive to the distribution of matter inside the event horizon.
|
1502.00761
|
Maja Buri\'c
|
Maja Buric, John Madore and Luka Nenadovic
|
Spinors on a curved noncommutative space: coupling to torsion and the
Gross-Neveu model
|
14 pages
| null |
10.1088/0264-9381/32/18/185018
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyse the spinor action on a curved noncommutative space, the so-called
truncated Heisenberg algebra, and in particular, the nonminimal coupling of
spinors to the torsion. We find that dimensional reduction of the Dirac action
gives the noncommutative extension of the Gross-Neveu model, the model which
is, as shown by Vignes-Tourneret, fully renormalisable.
|
[
{
"created": "Tue, 3 Feb 2015 07:26:34 GMT",
"version": "v1"
}
] |
2015-09-23
|
[
[
"Buric",
"Maja",
""
],
[
"Madore",
"John",
""
],
[
"Nenadovic",
"Luka",
""
]
] |
We analyse the spinor action on a curved noncommutative space, the so-called truncated Heisenberg algebra, and in particular, the nonminimal coupling of spinors to the torsion. We find that dimensional reduction of the Dirac action gives the noncommutative extension of the Gross-Neveu model, the model which is, as shown by Vignes-Tourneret, fully renormalisable.
|
1405.1692
|
Roberto Casadio
|
Roberto Casadio, Octavian Micu, Piero Nicolini
|
Minimum length effects in black hole physics
|
29 pages, 12 figures. To be published in "Quantum Aspects of Black
Holes", ed. X. Calmet (Springer, 2014)
| null |
10.1007/978-3-319-10852-0_10
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review the main consequences of the possible existence of a minimum
measurable length, of the order of the Planck scale, on quantum effects
occurring in black hole physics. In particular, we focus on the ensuing minimum
mass for black holes and how modified dispersion relations affect the Hawking
decay, both in four space-time dimensions and in models with extra spatial
dimensions. In the latter case, we briefly discuss possible phenomenological
signatures.
|
[
{
"created": "Wed, 7 May 2014 18:37:21 GMT",
"version": "v1"
}
] |
2021-04-07
|
[
[
"Casadio",
"Roberto",
""
],
[
"Micu",
"Octavian",
""
],
[
"Nicolini",
"Piero",
""
]
] |
We review the main consequences of the possible existence of a minimum measurable length, of the order of the Planck scale, on quantum effects occurring in black hole physics. In particular, we focus on the ensuing minimum mass for black holes and how modified dispersion relations affect the Hawking decay, both in four space-time dimensions and in models with extra spatial dimensions. In the latter case, we briefly discuss possible phenomenological signatures.
|
hep-th/9709074
|
Yuri Gusev
|
Yuri Gusev and Andrei Zelnikov
|
Finite Temperature Nonlocal Effective Action for Scalar Fields
|
9 pages, LaTeX (title is changed)
|
Class.Quant.Grav.15:L13-L19,1998
|
10.1088/0264-9381/15/3/001
|
Alberta-Thy-18-97
|
hep-th gr-qc hep-ph
| null |
Scalar fields at finite temperature are considered in four dimensional
ultrastatic curved spacetime. One loop nonlocal effective action at finite
temperature is found up to the second order in curvature expansion. This action
is explicitly infrared finite. In the high temperature expansion of free
energy, essentially nonlocal terms linear in temperature are derived.
|
[
{
"created": "Wed, 10 Sep 1997 00:49:31 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Oct 1997 00:08:27 GMT",
"version": "v2"
}
] |
2010-04-06
|
[
[
"Gusev",
"Yuri",
""
],
[
"Zelnikov",
"Andrei",
""
]
] |
Scalar fields at finite temperature are considered in four dimensional ultrastatic curved spacetime. One loop nonlocal effective action at finite temperature is found up to the second order in curvature expansion. This action is explicitly infrared finite. In the high temperature expansion of free energy, essentially nonlocal terms linear in temperature are derived.
|
2405.14942
|
Drew Backhouse
|
Jean Alexandre, Drew Backhouse, Eleni-Alexandra Kontou, Diego Pardo
Santos and Silvia Pla
|
Mapping 1+1-dimensional black hole thermodynamics to finite volume
effects
|
28 pages, 4 figures
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Both black hole thermodynamics and finite volume effects in quantum field
theory violate the null energy condition. Motivated by this, we compare
thermodynamic features between two 1+1-dimensional systems: (i) a scalar field
confined to a periodic spatial interval of length $a$ and tunneling between two
degenerate vacua; (ii) a dilatonic black hole at temperature $T$ in the
presence of matter fields. If we identify $a\propto T^{-1}$, we find similar
thermodynamic behaviours, which suggests some deeper connection arising from
the presence of non-trivial boundary conditions in both systems.
|
[
{
"created": "Thu, 23 May 2024 18:00:03 GMT",
"version": "v1"
}
] |
2024-06-04
|
[
[
"Alexandre",
"Jean",
""
],
[
"Backhouse",
"Drew",
""
],
[
"Kontou",
"Eleni-Alexandra",
""
],
[
"Santos",
"Diego Pardo",
""
],
[
"Pla",
"Silvia",
""
]
] |
Both black hole thermodynamics and finite volume effects in quantum field theory violate the null energy condition. Motivated by this, we compare thermodynamic features between two 1+1-dimensional systems: (i) a scalar field confined to a periodic spatial interval of length $a$ and tunneling between two degenerate vacua; (ii) a dilatonic black hole at temperature $T$ in the presence of matter fields. If we identify $a\propto T^{-1}$, we find similar thermodynamic behaviours, which suggests some deeper connection arising from the presence of non-trivial boundary conditions in both systems.
|
hep-th/9703139
|
Kurt Haller
|
Mario Belloni, Lusheng Chen, and Kurt Haller (University of
Connecticut)
|
Gauss's law, gauge invariance, and long-range forces in QCD
|
9 pages, LaTeX, uses REVTeX
|
Phys.Lett. B403 (1997) 316-322
|
10.1016/S0370-2693(97)00522-4
|
UCONN 97-02
|
hep-th hep-ph
| null |
We use a unitary operator constructed in earlier work to transform the
Hamiltonian for QCD in the temporal ($A_0=0$) gauge into a representation in
which the quark field is gauge-invariant, and its elementary excitations --
quark and antiquark creation and annihilation operators -- implement Gauss's
law. In that representation, the interactions between gauge-dependent parts of
the gauge field and the spinor (quark) field have been transformed away and
replaced by long-range non-local interactions of quark color charge densities.
These long-range interactions connect SU(3) color charge densities through an
infinite chain of gauge-invariant gauge fields either to other SU(3) color
charge densities, or to a gluon "anchor". We discuss possible implications of
this formalism for low-energy processes, including confinement of quarks that
are not in color singlet configurations.
|
[
{
"created": "Wed, 19 Mar 1997 18:43:19 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Belloni",
"Mario",
"",
"University of\n Connecticut"
],
[
"Chen",
"Lusheng",
"",
"University of\n Connecticut"
],
[
"Haller",
"Kurt",
"",
"University of\n Connecticut"
]
] |
We use a unitary operator constructed in earlier work to transform the Hamiltonian for QCD in the temporal ($A_0=0$) gauge into a representation in which the quark field is gauge-invariant, and its elementary excitations -- quark and antiquark creation and annihilation operators -- implement Gauss's law. In that representation, the interactions between gauge-dependent parts of the gauge field and the spinor (quark) field have been transformed away and replaced by long-range non-local interactions of quark color charge densities. These long-range interactions connect SU(3) color charge densities through an infinite chain of gauge-invariant gauge fields either to other SU(3) color charge densities, or to a gluon "anchor". We discuss possible implications of this formalism for low-energy processes, including confinement of quarks that are not in color singlet configurations.
|
hep-th/9209015
|
Akishi Kato
|
Akishi Kato, Yas-Hiro Quano and Jun'ichi Shiraishi
|
Free Boson Representation of $q$-Vertex Operators and their Correlation
Functions
|
22 pages, latex file, UT-618 (revised version)
|
Commun.Math.Phys. 157 (1993) 119-138
|
10.1007/BF02098022
| null |
hep-th
| null |
A bosonization scheme of the $q$-vertex operators of $\uqa$ for arbitrary
level is obtained. They act as intertwiners among the highest weight modules
constructed in a bosonic Fock space. An integral formula is proposed for
$N$-point functions and explicit calculation for two-point function is
presented.
|
[
{
"created": "Sat, 5 Sep 1992 07:28:19 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Sep 1992 11:43:42 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Kato",
"Akishi",
""
],
[
"Quano",
"Yas-Hiro",
""
],
[
"Shiraishi",
"Jun'ichi",
""
]
] |
A bosonization scheme of the $q$-vertex operators of $\uqa$ for arbitrary level is obtained. They act as intertwiners among the highest weight modules constructed in a bosonic Fock space. An integral formula is proposed for $N$-point functions and explicit calculation for two-point function is presented.
|
hep-th/0309233
|
Igor Tyutin
|
Igor Batalin and Igor Tyutin
|
On the transformations of hamiltonian gauge algebra under rotations of
constraints
|
11 pages, some misprints removed
|
Int.J.Mod.Phys.A20:895-905,2005
|
10.1142/S0217751X05021336
|
FIAN/TD/14/03
|
hep-th
| null |
By explicit calculation of the effect of a ghost-dependent canonical
transformation of BRST-charge, we derive the corresponding transformation law
for structure coefficients of hamiltonian gauge algebra under rotation of
constraints.We show the transformation law to deviate from the behaviour
(expected naively) characteristic to a genuine connection.
|
[
{
"created": "Thu, 25 Sep 2003 12:29:23 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Dec 2003 12:08:12 GMT",
"version": "v2"
}
] |
2010-11-05
|
[
[
"Batalin",
"Igor",
""
],
[
"Tyutin",
"Igor",
""
]
] |
By explicit calculation of the effect of a ghost-dependent canonical transformation of BRST-charge, we derive the corresponding transformation law for structure coefficients of hamiltonian gauge algebra under rotation of constraints.We show the transformation law to deviate from the behaviour (expected naively) characteristic to a genuine connection.
|
2111.03675
|
Rossella Gamba
|
Rossella Gamba, Sarp Ak\c{c}ay, Sebastiano Bernuzzi and Jake Williams
|
Effective-one-body waveforms for precessing coalescing compact binaries
with post-newtonian Twist
|
21 pages, 20 figures. Accepted in PRD
| null |
10.1103/PhysRevD.106.024020
| null |
gr-qc astro-ph.HE
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Spin precession is a generic feature of compact binary coalescences, which
leaves clear imprints in the gravitational waveforms. Building on previous
work, we present an efficient time domain inspiral-merger-ringdown
effective-one-body model (EOB) for precessing binary black holes, which
incorporates subdominant modes beyond $\ell=2$, and the first EOB frequency
domain approximant for precessing binary neutron stars. We validate our model
against 99 ``short'' numerical relativity precessing waveforms, where we find
median mismatches of $5\times 10^{-3}$, $7 \times 10^{-3}$ at inclinations of
$0$, $\pi/3$, and 21 ``long'' waveforms with median mismatches of $4 \times
10^{-3}$ and $5 \times 10^{-3}$ at the same inclinations. Further comparisons
against the state-of-the-art $\texttt{NRSur7dq4}$ waveform model yield median
mismatches of $4\times 10^{-3}, 1.8 \times 10^{-2}$ at inclinations of $0,
\pi/3$ for 5000 precessing configurations with the precession parameter
$\chi_p$ up to 0.8 and mass ratios up to 4. To demonstrate the computational
efficiency of our model we apply it to parameter estimation and re-analyze the
gravitational-wave events GW150914, GW190412, and GW170817.
|
[
{
"created": "Fri, 5 Nov 2021 18:00:05 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Jul 2022 13:33:00 GMT",
"version": "v2"
}
] |
2022-07-27
|
[
[
"Gamba",
"Rossella",
""
],
[
"Akçay",
"Sarp",
""
],
[
"Bernuzzi",
"Sebastiano",
""
],
[
"Williams",
"Jake",
""
]
] |
Spin precession is a generic feature of compact binary coalescences, which leaves clear imprints in the gravitational waveforms. Building on previous work, we present an efficient time domain inspiral-merger-ringdown effective-one-body model (EOB) for precessing binary black holes, which incorporates subdominant modes beyond $\ell=2$, and the first EOB frequency domain approximant for precessing binary neutron stars. We validate our model against 99 ``short'' numerical relativity precessing waveforms, where we find median mismatches of $5\times 10^{-3}$, $7 \times 10^{-3}$ at inclinations of $0$, $\pi/3$, and 21 ``long'' waveforms with median mismatches of $4 \times 10^{-3}$ and $5 \times 10^{-3}$ at the same inclinations. Further comparisons against the state-of-the-art $\texttt{NRSur7dq4}$ waveform model yield median mismatches of $4\times 10^{-3}, 1.8 \times 10^{-2}$ at inclinations of $0, \pi/3$ for 5000 precessing configurations with the precession parameter $\chi_p$ up to 0.8 and mass ratios up to 4. To demonstrate the computational efficiency of our model we apply it to parameter estimation and re-analyze the gravitational-wave events GW150914, GW190412, and GW170817.
|
hep-th/9801066
|
Jae-Suk Park
|
Robbert Dijkgraaf, Jae-Suk Park and Bernd Schroers
|
N=4 Supersymmetric Yang-Mills Theory on a Kaehler Surface
|
30 pages, harvmac, some corrections with additional comments
| null | null |
ITFA-97-09
|
hep-th
| null |
We study N=4 supersymmetric Yang-Mills theory on a Kaehler manifold with
$b_2^+ \geq 3$. Adding suitable perturbations we show that the partition
function of the N=4 theory is the sum of contributions from two branches: (i)
instantons, (ii) a special class of Seiberg-Witten monopoles. We determine the
partition function for the theories with gauge group SU(2) and SO(3), using
S-duality. This leads us to a formula for the Euler characteristic of the
moduli space of instantons.
|
[
{
"created": "Mon, 12 Jan 1998 14:32:50 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Feb 1999 19:38:19 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Dijkgraaf",
"Robbert",
""
],
[
"Park",
"Jae-Suk",
""
],
[
"Schroers",
"Bernd",
""
]
] |
We study N=4 supersymmetric Yang-Mills theory on a Kaehler manifold with $b_2^+ \geq 3$. Adding suitable perturbations we show that the partition function of the N=4 theory is the sum of contributions from two branches: (i) instantons, (ii) a special class of Seiberg-Witten monopoles. We determine the partition function for the theories with gauge group SU(2) and SO(3), using S-duality. This leads us to a formula for the Euler characteristic of the moduli space of instantons.
|
hep-th/9304094
| null |
G. Grignani and G. Nardelli
|
Canonical Analysis of Poincare' Gauge Theories for Two Dimansional
Gravity
|
13 pages, plain \TeX
|
Class.Quant.Grav.10:2569-2580,1993
|
10.1088/0264-9381/10/12/016
|
DFUPG-76-1993/UTF-292-1993
|
hep-th
| null |
Following the general method discussed in Refs.[1,2], Liouville gravity and
the 2 dimensional model of non-Einstenian gravity ${\cal L} \sim curv^2 +
torsion^2 + cosm. const.$ can be formulated as ISO(1,1) gauge theories. In the
first order formalism the models present, besides the Poincar\'e gauge
symmetry, additional local symmetries. We show that in both models one can fix
these additional symmetries preserving the ISO(1,1) gauge symmetry and the
diffeomorphism invariance, so that, after a preliminary Dirac procedure, the
remaining constraints uniquely satisfy the ISO(1,1) algebra. After the
additional symmetry is fixed, the equations of motion are unaltered. One thus
remarkably simplifies the canonical structure, especially of the second model.
Moreover, one shows that the Poincar\'e group can always be used consistently
as a gauge group for gravitational theories in two dimensions.
|
[
{
"created": "Wed, 21 Apr 1993 12:50:04 GMT",
"version": "v1"
}
] |
2010-04-06
|
[
[
"Grignani",
"G.",
""
],
[
"Nardelli",
"G.",
""
]
] |
Following the general method discussed in Refs.[1,2], Liouville gravity and the 2 dimensional model of non-Einstenian gravity ${\cal L} \sim curv^2 + torsion^2 + cosm. const.$ can be formulated as ISO(1,1) gauge theories. In the first order formalism the models present, besides the Poincar\'e gauge symmetry, additional local symmetries. We show that in both models one can fix these additional symmetries preserving the ISO(1,1) gauge symmetry and the diffeomorphism invariance, so that, after a preliminary Dirac procedure, the remaining constraints uniquely satisfy the ISO(1,1) algebra. After the additional symmetry is fixed, the equations of motion are unaltered. One thus remarkably simplifies the canonical structure, especially of the second model. Moreover, one shows that the Poincar\'e group can always be used consistently as a gauge group for gravitational theories in two dimensions.
|
2212.00962
|
Atul Sharma
|
Carmen Jorge-Diaz, Sabrina Pasterski, Atul Sharma
|
Celestial amplitudes in an ambidextrous basis
|
55 pages, 3 figures
| null |
10.1007/JHEP02(2023)155
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We start by constructing a conformally covariant improvement of the celestial
light transform which keeps track of the mixing between incoming and outgoing
states under finite Lorentz transformations in $\mathbb{R}^{2,2}$. We then
compute generic 2, 3 and 4-point celestial amplitudes for massless external
states in the ambidextrous basis prepared by composing this
$\mathrm{SL}(2,\mathbb{R})$ intertwiner with the usual celestial map between
momentum and boost eigenstates. The results are non-distributional in the
celestial coordinates $(z,\bar{z})$ and conformally covariant in all scattering
channels. Finally, we focus on the tree level 4-gluon amplitude where we
present a streamlined route to the ambidextrous correlator based on
Grassmannian formulae and examine its alpha space representation. In the
process, we gain insights into the operator dictionary and CFT data of the
holographic dual.
|
[
{
"created": "Fri, 2 Dec 2022 04:35:22 GMT",
"version": "v1"
}
] |
2023-03-01
|
[
[
"Jorge-Diaz",
"Carmen",
""
],
[
"Pasterski",
"Sabrina",
""
],
[
"Sharma",
"Atul",
""
]
] |
We start by constructing a conformally covariant improvement of the celestial light transform which keeps track of the mixing between incoming and outgoing states under finite Lorentz transformations in $\mathbb{R}^{2,2}$. We then compute generic 2, 3 and 4-point celestial amplitudes for massless external states in the ambidextrous basis prepared by composing this $\mathrm{SL}(2,\mathbb{R})$ intertwiner with the usual celestial map between momentum and boost eigenstates. The results are non-distributional in the celestial coordinates $(z,\bar{z})$ and conformally covariant in all scattering channels. Finally, we focus on the tree level 4-gluon amplitude where we present a streamlined route to the ambidextrous correlator based on Grassmannian formulae and examine its alpha space representation. In the process, we gain insights into the operator dictionary and CFT data of the holographic dual.
|
hep-th/0407069
|
Mboyo Esole
|
Mboyo Esole
|
The Non-Local Massive Yang-Mills Action as a Gauged Sigma Model
|
1+10 pages
| null | null | null |
hep-th
| null |
We show that the massive Yang--Mills action having as a mass term the
non-local operator introduced by Gubarov, Stodolsky, and Zakharov is
classically equivalent to a principal gauged sigma model. The non-local mass
corresponds to the topological term of the sigma model. The latter is obtained
once the degrees of freedom implicitly generated in the non-local action are
explicitly implemented as group elements. The non-local action is recovered by
integrating out these group elements. In contrast to the usual gauge-fixed
treatment, the sigma model point of view provides a safe framework in which
calculation are tractable while keeping a full control of gauge-invariance. It
shows that the non-local massive Yang--Mills action is naturally associated
with the low-energy description of QCD in the Chiral Perturbation Theory
approach. Moreover, the sigma model admits solutions called center vortices
familiar in different (de)-confinement and chiral symmetry breaking scenarios.
This suggests that the non-local operator introduced by Gubarov, Stodolsky, and
Zakharov might be sensitive to center vortices configurations.
|
[
{
"created": "Fri, 9 Jul 2004 12:02:25 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Esole",
"Mboyo",
""
]
] |
We show that the massive Yang--Mills action having as a mass term the non-local operator introduced by Gubarov, Stodolsky, and Zakharov is classically equivalent to a principal gauged sigma model. The non-local mass corresponds to the topological term of the sigma model. The latter is obtained once the degrees of freedom implicitly generated in the non-local action are explicitly implemented as group elements. The non-local action is recovered by integrating out these group elements. In contrast to the usual gauge-fixed treatment, the sigma model point of view provides a safe framework in which calculation are tractable while keeping a full control of gauge-invariance. It shows that the non-local massive Yang--Mills action is naturally associated with the low-energy description of QCD in the Chiral Perturbation Theory approach. Moreover, the sigma model admits solutions called center vortices familiar in different (de)-confinement and chiral symmetry breaking scenarios. This suggests that the non-local operator introduced by Gubarov, Stodolsky, and Zakharov might be sensitive to center vortices configurations.
|
2311.00679
|
Gabriele Tartaglino-Mazzucchelli
|
Gregory Gold, Jessica Hutomo, Saurish Khandelwal, Gabriele
Tartaglino-Mazzucchelli
|
Components of curvature-squared invariants of minimal supergravity in
five dimensions
|
99 pages of manuscript + 228 pages of supplementary file
| null | null | null |
hep-th gr-qc math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We present for the first time the component structure of the supersymmetric
completions for all curvature-squared invariants of five-dimensional, off-shell
(gauged) minimal supergravity, including all fermions. This is achieved by
using an interplay between superspace and superconformal tensor calculus
techniques, and by employing results from arXiv:1410.8682 and arXiv:2302.14295.
Our analysis is based on using a standard Weyl multiplet of conformal
supergravity coupled to a vector and a linear multiplet compensator to engineer
off-shell Poincar\'e supergravity. We compute all the descendants of the
composite linear multiplets that describe gauged supergravity together with the
three independent four-derivative invariants. These are the building blocks of
the locally superconformal invariant actions. A derivation of the primary
equations of motion for minimal gauged off-shell supergravity deformed by an
arbitrary combination of these three locally superconformal invariants, is then
provided. Finally, all the covariant descendants in the multiplets of equations
of motion are obtained by applying a series of $Q$-supersymmetry
transformations, equivalent to successively applying superspace spinor
derivatives to the primary equations of motion.
|
[
{
"created": "Wed, 1 Nov 2023 17:41:55 GMT",
"version": "v1"
}
] |
2023-11-02
|
[
[
"Gold",
"Gregory",
""
],
[
"Hutomo",
"Jessica",
""
],
[
"Khandelwal",
"Saurish",
""
],
[
"Tartaglino-Mazzucchelli",
"Gabriele",
""
]
] |
We present for the first time the component structure of the supersymmetric completions for all curvature-squared invariants of five-dimensional, off-shell (gauged) minimal supergravity, including all fermions. This is achieved by using an interplay between superspace and superconformal tensor calculus techniques, and by employing results from arXiv:1410.8682 and arXiv:2302.14295. Our analysis is based on using a standard Weyl multiplet of conformal supergravity coupled to a vector and a linear multiplet compensator to engineer off-shell Poincar\'e supergravity. We compute all the descendants of the composite linear multiplets that describe gauged supergravity together with the three independent four-derivative invariants. These are the building blocks of the locally superconformal invariant actions. A derivation of the primary equations of motion for minimal gauged off-shell supergravity deformed by an arbitrary combination of these three locally superconformal invariants, is then provided. Finally, all the covariant descendants in the multiplets of equations of motion are obtained by applying a series of $Q$-supersymmetry transformations, equivalent to successively applying superspace spinor derivatives to the primary equations of motion.
|
1008.1015
|
Alexander Prygarin
|
L. N. Lipatov
|
Analytic properties of high energy production amplitudes in N=4 SUSY
|
To appear in the proceedings of 16th International Seminar on High
Energy Physics, QUARKS-2010, Kolomna, Russia, 6-12 June, 2010. 15 pages
| null |
10.1007/s11232-012-0018-5
|
DESY-10-125
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate analytic properties of the six point planar amplitude in N=4
SUSY at the multi-Regge kinematics for final state particles. For inelastic
processes the Steinmann relations play an important role because they give a
possibility to fix the phase structure of the Regge pole and Mandelstam cut
contributions. These contributions have the Moebius invariant form in the
transverse momentum subspace. The analyticity and factorization constraints
allow us to reproduce the two-loop correction to the 6-point BDS amplitude in
N=4 SUSY obtained earlier in the leading logarithmic approximation with the use
of the s-channel unitarity. The exponentiation hypothesis for the remainder
function in the multi-Regge kinematics is also investigated. The 6-point
amplitude in LLA can be completely reproduced from the BDS ansatz with the use
of the analyticity and Regge factorization.
|
[
{
"created": "Thu, 5 Aug 2010 16:07:04 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Nov 2010 14:14:29 GMT",
"version": "v2"
},
{
"created": "Fri, 12 Nov 2010 13:48:08 GMT",
"version": "v3"
}
] |
2015-05-19
|
[
[
"Lipatov",
"L. N.",
""
]
] |
We investigate analytic properties of the six point planar amplitude in N=4 SUSY at the multi-Regge kinematics for final state particles. For inelastic processes the Steinmann relations play an important role because they give a possibility to fix the phase structure of the Regge pole and Mandelstam cut contributions. These contributions have the Moebius invariant form in the transverse momentum subspace. The analyticity and factorization constraints allow us to reproduce the two-loop correction to the 6-point BDS amplitude in N=4 SUSY obtained earlier in the leading logarithmic approximation with the use of the s-channel unitarity. The exponentiation hypothesis for the remainder function in the multi-Regge kinematics is also investigated. The 6-point amplitude in LLA can be completely reproduced from the BDS ansatz with the use of the analyticity and Regge factorization.
|
1008.2660
|
Pujian Mao
|
Pu-Jian Mao, Ran Li, Lin-Yu Jia, Ji-Rong Ren
|
Acceleration of particles in Einstein-Maxwell-dilaton black holes
|
14 pages
|
Chin. Phys. C 41 (2017) 065101
|
10.1088/1674-1137/41/6/065101
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It has recently been pointed out that, under certain conditions, the energy
of particles accelerated by black holes in the center-of-mass frame can become
arbitrarily high. In this paper, we study the collision of two particles in the
case of four-dimensional charged nonrotating, extremal charged rotating and
near-extremal charged rotating Kaluza-Klein black holes as well as the naked
singularity case in Einstein-Maxwell-dilaton theory. We find that the
center-of-mass energy for a pair of colliding particles is unlimited at the
horizon of charged nonrotating Kaluza-Klein black holes, extremal charged
rotating Kaluza-Klein black holes and in the naked singularity case.
|
[
{
"created": "Mon, 16 Aug 2010 14:03:11 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Mar 2011 08:29:17 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Mar 2011 10:06:37 GMT",
"version": "v3"
},
{
"created": "Sat, 1 Apr 2017 07:40:38 GMT",
"version": "v4"
}
] |
2017-04-04
|
[
[
"Mao",
"Pu-Jian",
""
],
[
"Li",
"Ran",
""
],
[
"Jia",
"Lin-Yu",
""
],
[
"Ren",
"Ji-Rong",
""
]
] |
It has recently been pointed out that, under certain conditions, the energy of particles accelerated by black holes in the center-of-mass frame can become arbitrarily high. In this paper, we study the collision of two particles in the case of four-dimensional charged nonrotating, extremal charged rotating and near-extremal charged rotating Kaluza-Klein black holes as well as the naked singularity case in Einstein-Maxwell-dilaton theory. We find that the center-of-mass energy for a pair of colliding particles is unlimited at the horizon of charged nonrotating Kaluza-Klein black holes, extremal charged rotating Kaluza-Klein black holes and in the naked singularity case.
|
hep-th/0003009
|
Shinsuke Mochizuki Nishigaki
|
T. Nagao, S. M. Nishigaki
|
Massive chiral random matrix ensembles at beta = 1 & 4 : QCD Dirac
operator spectra
|
12 pages, REVTeX 3.1, 2 figures; (v2) corrections on signatures in
eqs.(48), (53), (C7), and on referential notes
|
Phys.Rev. D62 (2000) 065007
|
10.1103/PhysRevD.62.065007
|
TIT-HEP-442
|
hep-th hep-lat
| null |
The zero momentum sectors in effective theories of QCD coupled to pseudoreal
(two colors) and real (adjoint) quarks have alternative descriptions in terms
of chiral orthogonal and symplectic ensembles of random matrices. Using this
correspondence, we compute correlation functions of Dirac operator eigenvalues
within a sector with an arbitrary topological charge in a presence of finite
quark masses of the order of the smallest Dirac eigenvalue. These novel
correlation functions, expressed in terms of Pfaffians, interpolate between
known results for the chiral and quenched limits as quark masses vary.
|
[
{
"created": "Wed, 1 Mar 2000 20:20:37 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Mar 2000 09:27:23 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Nagao",
"T.",
""
],
[
"Nishigaki",
"S. M.",
""
]
] |
The zero momentum sectors in effective theories of QCD coupled to pseudoreal (two colors) and real (adjoint) quarks have alternative descriptions in terms of chiral orthogonal and symplectic ensembles of random matrices. Using this correspondence, we compute correlation functions of Dirac operator eigenvalues within a sector with an arbitrary topological charge in a presence of finite quark masses of the order of the smallest Dirac eigenvalue. These novel correlation functions, expressed in terms of Pfaffians, interpolate between known results for the chiral and quenched limits as quark masses vary.
|
hep-th/9508146
|
Tobias Hurth
|
Tobias Hurth
|
A Note on Slavnov-Taylor Identities in the Causal Epstein-Glaser
Approach
|
12 pages, Latex
|
Ann. Phys. 244 (1995) 340 (Appendix B)
|
10.1006/aphy.1995.1117
|
ZU-TH_21/95
|
hep-th
| null |
An alternative approach to perturbative Yang-Mills theories in four (3+1)
dimensional space-time based on the causal Epstein-Glaser method in QFT was
recently proposed. In this short note we show that the set of identities
between C-number distributions expressing nonabelian gauge invariance in the
causal approach imply identities which are analogous to the well-known
Slavnov-Taylor identities. We explicitly derive the Z-factor relations at
one-loop level.
|
[
{
"created": "Sun, 27 Aug 1995 15:14:15 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Hurth",
"Tobias",
""
]
] |
An alternative approach to perturbative Yang-Mills theories in four (3+1) dimensional space-time based on the causal Epstein-Glaser method in QFT was recently proposed. In this short note we show that the set of identities between C-number distributions expressing nonabelian gauge invariance in the causal approach imply identities which are analogous to the well-known Slavnov-Taylor identities. We explicitly derive the Z-factor relations at one-loop level.
|
2212.14417
|
Martin Cederwall
|
Martin Cederwall
|
A minimal b ghost
|
9 pp
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The $b$ ghost, or $b$ operator, used for fixing Siegel gauge in the pure
spinor superfield formalism, is a composite operator of negative ghost number,
satisfying $\{q,b\}=\square$, where $q$ is the pure spinor differential (BRST
operator). It is traditionally constructed using non-minimal variables.
However, since all cohomology has minimal representatives, it seems likely that
there should be versions of physically meaningful operators, also with negative
ghost number, using only minimal variables. The purpose of this letter is to
demonstrate that this statement holds by providing a concrete construction in
$D=10$ super-Yang-Mills theory, and to argue that it is a general feature in
the pure spinor superfield formalism.
|
[
{
"created": "Thu, 29 Dec 2022 18:46:57 GMT",
"version": "v1"
}
] |
2023-01-02
|
[
[
"Cederwall",
"Martin",
""
]
] |
The $b$ ghost, or $b$ operator, used for fixing Siegel gauge in the pure spinor superfield formalism, is a composite operator of negative ghost number, satisfying $\{q,b\}=\square$, where $q$ is the pure spinor differential (BRST operator). It is traditionally constructed using non-minimal variables. However, since all cohomology has minimal representatives, it seems likely that there should be versions of physically meaningful operators, also with negative ghost number, using only minimal variables. The purpose of this letter is to demonstrate that this statement holds by providing a concrete construction in $D=10$ super-Yang-Mills theory, and to argue that it is a general feature in the pure spinor superfield formalism.
|
1204.1362
|
Lode Wylleman
|
Lode Wylleman
|
Maximally inhomogeneous G\"{o}del-Farnsworth-Kerr generalizations
|
4 pages, conference proceeding of Spanish Relativity Meeting (ERE
2009, Bilbao)
|
J. Phys.: Conf. Ser. 229 (2010) 012073
|
10.1088/1742-6596/229/1/012073
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is pointed out that physically meaningful aligned Petrov type D perfect
fluid space-times with constant zero-order Riemann invariants are either the
homogeneous solutions found by G\"{o}del (isotropic case) and Farnsworth and
Kerr (anisotropic case), or new inhomogeneous generalizations of these with
non-constant rotation. The construction of the line element and the local
geometric properties for the latter are presented.
|
[
{
"created": "Thu, 5 Apr 2012 21:42:13 GMT",
"version": "v1"
}
] |
2015-06-04
|
[
[
"Wylleman",
"Lode",
""
]
] |
It is pointed out that physically meaningful aligned Petrov type D perfect fluid space-times with constant zero-order Riemann invariants are either the homogeneous solutions found by G\"{o}del (isotropic case) and Farnsworth and Kerr (anisotropic case), or new inhomogeneous generalizations of these with non-constant rotation. The construction of the line element and the local geometric properties for the latter are presented.
|
2112.15172
|
Fotis Farakos
|
Fotis Farakos, Alex Kehagias, Nikolaos Liatsos
|
Complex Linear Multiplets and Local Supersymmetry Breaking
|
37 pages
| null |
10.1007/JHEP02(2022)092
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study supersymmetry breaking from a complex linear superfield coupled to
4D N=1 supergravity. The theory has two classically decoupled vacua, one
supersymmetric and one with broken and intrinsically non-linear supersymmetry.
Depending on the values of the parameters the scalar potential can lead to
no-scale Minkwoski or a stable de Sitter or anti-de Sitter vacuum. We also
provide a dual description of the system in terms of a nilpotent chiral
superfield and a standard chiral coupled to supergravity.
|
[
{
"created": "Thu, 30 Dec 2021 18:54:18 GMT",
"version": "v1"
}
] |
2022-03-02
|
[
[
"Farakos",
"Fotis",
""
],
[
"Kehagias",
"Alex",
""
],
[
"Liatsos",
"Nikolaos",
""
]
] |
We study supersymmetry breaking from a complex linear superfield coupled to 4D N=1 supergravity. The theory has two classically decoupled vacua, one supersymmetric and one with broken and intrinsically non-linear supersymmetry. Depending on the values of the parameters the scalar potential can lead to no-scale Minkwoski or a stable de Sitter or anti-de Sitter vacuum. We also provide a dual description of the system in terms of a nilpotent chiral superfield and a standard chiral coupled to supergravity.
|
hep-th/9403126
|
Antti Niemi
|
Antti J. Niemi and O. Tirkkonen
|
Equivariance, BRST and Superspace
|
(24 pages, report UU-ITP and HU-TFT-93-65)
|
J.Math.Phys. 35 (1994) 6418-6433
|
10.1063/1.530683
| null |
hep-th
| null |
The structure of equivariant cohomology in non-abelian localization formulas
and topological field theories is discussed. Equivariance is formulated in
terms of a nilpotent BRST symmetry, and another nilpotent operator which
restricts the BRST cohomology onto the equivariant, or basic sector. A
superfield formulation is presented and connections to reducible (BFV)
quantization of topological Yang-Mills theory are discussed.
|
[
{
"created": "Mon, 21 Mar 1994 22:34:44 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Niemi",
"Antti J.",
""
],
[
"Tirkkonen",
"O.",
""
]
] |
The structure of equivariant cohomology in non-abelian localization formulas and topological field theories is discussed. Equivariance is formulated in terms of a nilpotent BRST symmetry, and another nilpotent operator which restricts the BRST cohomology onto the equivariant, or basic sector. A superfield formulation is presented and connections to reducible (BFV) quantization of topological Yang-Mills theory are discussed.
|
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