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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1207.6574
|
My. Brahim Sedra
|
A. Belhaj, M. B. Sedra
|
Quiver Gauge theories from Lie Superalgebras
|
10 pages, 4 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss quiver gauge models with matter fields based on Dynkin diagrams of
Lie superalgebra structures. We focus on A(1,0) case and we find first that it
can be related to intersecting complex cycles with genus $g$. Using toric
geometry, A(1,0) quivers are analyzed in some details and it is shown that
A(1,0) can be used to incorporate fundamental fields to a product of two
unitary factor groups. We expect that this approach can be applied to other
kinds of Lie superalgebras;
|
[
{
"created": "Thu, 26 Jul 2012 15:59:48 GMT",
"version": "v1"
}
] |
2012-07-30
|
[
[
"Belhaj",
"A.",
""
],
[
"Sedra",
"M. B.",
""
]
] |
We discuss quiver gauge models with matter fields based on Dynkin diagrams of Lie superalgebra structures. We focus on A(1,0) case and we find first that it can be related to intersecting complex cycles with genus $g$. Using toric geometry, A(1,0) quivers are analyzed in some details and it is shown that A(1,0) can be used to incorporate fundamental fields to a product of two unitary factor groups. We expect that this approach can be applied to other kinds of Lie superalgebras;
|
1203.5605
|
Timo Laine Au
|
Timo Aukusti Laine
|
Symmetries of the Burgers Turbulence without Pressure
|
5 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate local symmetries of the Burgers turbulence driven by an
external random force. By using a path integral formalism, we show that the
Jacobian has physics in it; local symmetries and an anomaly. We also study a
local invariance of the effective action and show it is related to Kolmogorov's
second law of self-similarity.
|
[
{
"created": "Mon, 26 Mar 2012 09:04:29 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Apr 2012 06:24:44 GMT",
"version": "v2"
},
{
"created": "Sun, 3 Feb 2013 12:35:59 GMT",
"version": "v3"
}
] |
2013-02-05
|
[
[
"Laine",
"Timo Aukusti",
""
]
] |
We investigate local symmetries of the Burgers turbulence driven by an external random force. By using a path integral formalism, we show that the Jacobian has physics in it; local symmetries and an anomaly. We also study a local invariance of the effective action and show it is related to Kolmogorov's second law of self-similarity.
|
2404.15537
|
Ahmed Errahmani
|
Ahmed Errahmani, Amine Bouali, Safae Dahmani, Imad El Bojaddaini and
Taoufik Ouali
|
Constraining dark energy equations of state in $F(R,T)$ gravity
|
13 pages, 5 figures
| null | null | null |
gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we examine the acceleration of the Universe's expansion in
$F(R,T)$ gravity, where $R$ denotes the Ricci scalar and $T$ the trace of
energy-momentum tensor. Indeed, the unknown nature of the source controlling
this acceleration in general relativity leads scientists to investigate its
properties by means of some alternative theories to general relativity. Our
study is restricted to the particular case where $F(R,T)=R+2\kappa^2 \lambda T$
, with $\lambda$ being a constant. We use a Bayesian analysis of current
observational datasets, including the type Ia supernovae constitution
compilation and $H(z)$ measurements, to constrain free parameters of the model.
To parametrize dark energy, we consider two well known equations of state. We
find the best fit values for each model by running a Markov chain Monte Carlo
technic. The best fit parameters are used to compare both models to
$\Lambda$CDM by means of the Akaike information criterion and the Bayesian
information criterion. We show that the Universe underwent recently a
transition from a deceleration to an acceleration for both models. Furthermore,
the data shows a phantom nature of the equation of state for both models.
|
[
{
"created": "Tue, 23 Apr 2024 21:54:26 GMT",
"version": "v1"
}
] |
2024-04-25
|
[
[
"Errahmani",
"Ahmed",
""
],
[
"Bouali",
"Amine",
""
],
[
"Dahmani",
"Safae",
""
],
[
"Bojaddaini",
"Imad El",
""
],
[
"Ouali",
"Taoufik",
""
]
] |
In this paper, we examine the acceleration of the Universe's expansion in $F(R,T)$ gravity, where $R$ denotes the Ricci scalar and $T$ the trace of energy-momentum tensor. Indeed, the unknown nature of the source controlling this acceleration in general relativity leads scientists to investigate its properties by means of some alternative theories to general relativity. Our study is restricted to the particular case where $F(R,T)=R+2\kappa^2 \lambda T$ , with $\lambda$ being a constant. We use a Bayesian analysis of current observational datasets, including the type Ia supernovae constitution compilation and $H(z)$ measurements, to constrain free parameters of the model. To parametrize dark energy, we consider two well known equations of state. We find the best fit values for each model by running a Markov chain Monte Carlo technic. The best fit parameters are used to compare both models to $\Lambda$CDM by means of the Akaike information criterion and the Bayesian information criterion. We show that the Universe underwent recently a transition from a deceleration to an acceleration for both models. Furthermore, the data shows a phantom nature of the equation of state for both models.
|
hep-th/9511004
|
Stefan Mashkevich
|
Stefan Mashkevich (Kiev, Oslo)
|
Finite-size anyons and perturbation theory
|
18 pages (RevTex) + 4 PS figures (all included); a new section on
equation of state added
|
Phys.Rev. D54 (1996) 6537-6543
|
10.1103/PhysRevD.54.6537
| null |
hep-th cond-mat
| null |
We address the problem of finite-size anyons, i.e., composites of charges and
finite radius magnetic flux tubes. Making perturbative calculations in this
problem meets certain difficulties reminiscent of those in the problem of
pointlike anyons. We show how to circumvent these difficulties for anyons of
arbitrary spin. The case of spin 1/2 is special because it allows for a direct
application of perturbation theory, while for any other spin, a redefinition of
the wave function is necessary. We apply the perturbative algorithm to the
N-body problem, derive the first-order equation of state and discuss some
examples.
|
[
{
"created": "Wed, 1 Nov 1995 14:13:46 GMT",
"version": "v1"
},
{
"created": "Sun, 12 Nov 1995 20:02:37 GMT",
"version": "v2"
},
{
"created": "Sat, 9 Nov 1996 04:07:16 GMT",
"version": "v3"
}
] |
2009-10-28
|
[
[
"Mashkevich",
"Stefan",
"",
"Kiev, Oslo"
]
] |
We address the problem of finite-size anyons, i.e., composites of charges and finite radius magnetic flux tubes. Making perturbative calculations in this problem meets certain difficulties reminiscent of those in the problem of pointlike anyons. We show how to circumvent these difficulties for anyons of arbitrary spin. The case of spin 1/2 is special because it allows for a direct application of perturbation theory, while for any other spin, a redefinition of the wave function is necessary. We apply the perturbative algorithm to the N-body problem, derive the first-order equation of state and discuss some examples.
|
hep-th/0402170
|
Kuiroukidis
|
A. Kuiroukidis
|
Dilaton Brane Cosmology with Second Order String Corrections and the
Cosmological Constant
|
19 pages, 5 figures LaTeX. Accepted for publication in IJMPA
|
Int.J.Mod.Phys.A21:595-611,2006
|
10.1142/S0217751X06025249
| null |
hep-th
| null |
We consider, in five dimensions, the effective action from heterotic string
which includes quantum gravity corrections up to (a')^2. The expansion, in the
string frame, is in terms of |a'R|, where R is the scalar curvature and uses
the third order Euler density, next to the Gauss-Bonnet term. For a positive
tension brane and infinite extra dimension, the logarithmic class of solutions
is less dependent from fine-tuning problems than in previous formulations. More
importantly, the model suggests that in the full non-perturbative formulation,
the string scale can be much lower than the effective Planck mass, without the
string coupling to be vanishingly small. Also a less severe fine-tuning of the
brane tension in needed.
|
[
{
"created": "Sat, 21 Feb 2004 08:38:20 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Mar 2004 07:35:28 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Nov 2005 09:54:50 GMT",
"version": "v3"
}
] |
2010-11-05
|
[
[
"Kuiroukidis",
"A.",
""
]
] |
We consider, in five dimensions, the effective action from heterotic string which includes quantum gravity corrections up to (a')^2. The expansion, in the string frame, is in terms of |a'R|, where R is the scalar curvature and uses the third order Euler density, next to the Gauss-Bonnet term. For a positive tension brane and infinite extra dimension, the logarithmic class of solutions is less dependent from fine-tuning problems than in previous formulations. More importantly, the model suggests that in the full non-perturbative formulation, the string scale can be much lower than the effective Planck mass, without the string coupling to be vanishingly small. Also a less severe fine-tuning of the brane tension in needed.
|
1706.01486
|
Zvi Bern
|
Zvi Bern, Alex Edison, David Kosower and Julio Parra-Martinez
|
Curvature-Squared Multiplets, Evanescent Effects and the U(1) Anomaly in
N = 4 Supergravity
|
32 pages, 4 figures, RevTeX
|
Phys. Rev. D 96, 066004 (2017)
|
10.1103/PhysRevD.96.066004
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We evaluate one-loop amplitudes of N = 4 supergravity in D dimensions using
the double-copy procedure that expresses gravity integrands in terms of
corresponding ones in Yang--Mills theory.We organize the calculation in terms
of a set of gauge-invariant tensors, allowing us to identify evanescent
contributions. Among the latter, we find the matrix elements of supersymmetric
completions of curvature-squared operators. In addition, we find that such
evanescent terms and the U(1)-anomalous contributions to one-loop N = 4
amplitudes are tightly intertwined. The appearance of evanescent operators in N
= 4 supergravity and their relation to anomalies raises the question of their
effect on the known four-loop divergence in this theory. We provide bases of
gauge-invariant tensors and corresponding projectors useful for Yang--Mills
theories as a by-product of our analysis.
|
[
{
"created": "Mon, 5 Jun 2017 18:30:41 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Aug 2017 23:05:38 GMT",
"version": "v2"
},
{
"created": "Sat, 18 Nov 2017 22:16:37 GMT",
"version": "v3"
}
] |
2017-11-21
|
[
[
"Bern",
"Zvi",
""
],
[
"Edison",
"Alex",
""
],
[
"Kosower",
"David",
""
],
[
"Parra-Martinez",
"Julio",
""
]
] |
We evaluate one-loop amplitudes of N = 4 supergravity in D dimensions using the double-copy procedure that expresses gravity integrands in terms of corresponding ones in Yang--Mills theory.We organize the calculation in terms of a set of gauge-invariant tensors, allowing us to identify evanescent contributions. Among the latter, we find the matrix elements of supersymmetric completions of curvature-squared operators. In addition, we find that such evanescent terms and the U(1)-anomalous contributions to one-loop N = 4 amplitudes are tightly intertwined. The appearance of evanescent operators in N = 4 supergravity and their relation to anomalies raises the question of their effect on the known four-loop divergence in this theory. We provide bases of gauge-invariant tensors and corresponding projectors useful for Yang--Mills theories as a by-product of our analysis.
|
hep-th/9704174
|
Joao Nunes
|
Jose M. Isidro, Avijit Mukherjee, Joao P. Nunes, Howard J. Schnitzer
|
On the Picard-Fuchs Equations for Massive N=2 Seiberg-Witten Theories
|
29 pages, uses phyzzx.tex
|
Nucl.Phys. B502 (1997) 363-382
|
10.1016/S0550-3213(97)00459-8
| null |
hep-th
| null |
A new method to obtain the Picard-Fuchs equations of effective, N=2
supersymmetric gauge theories with massive matter hypermultiplets in the
fundamental representation is presented. It generalises a previously described
method to derive the Picard-Fuchs equations of both pure super Yang-Mills and
supersymmetric gauge theories with massless matter hypermultiplets. The
techniques developed are well suited to symbolic computer calculations.
|
[
{
"created": "Thu, 24 Apr 1997 17:48:39 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Isidro",
"Jose M.",
""
],
[
"Mukherjee",
"Avijit",
""
],
[
"Nunes",
"Joao P.",
""
],
[
"Schnitzer",
"Howard J.",
""
]
] |
A new method to obtain the Picard-Fuchs equations of effective, N=2 supersymmetric gauge theories with massive matter hypermultiplets in the fundamental representation is presented. It generalises a previously described method to derive the Picard-Fuchs equations of both pure super Yang-Mills and supersymmetric gauge theories with massless matter hypermultiplets. The techniques developed are well suited to symbolic computer calculations.
|
2302.12524
|
Leandros Perivolaropoulos
|
L. Perivolaropoulos, I. Antoniou and D. Papadopoulos
|
Probing dark fluids and modified gravity with gravitational lensing
|
9 pages, 4 Figures, 2 Tables. Published in MNRAS. The Mathematica
files used for the construction of Fig. 2 and 3 may be downloaded from
https://github.com/leandros11/lensing1
| null |
10.1093/mnras/stad1882
| null |
gr-qc astro-ph.CO physics.space-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We generalize the Rindler-Ishak (2007) result for the lensing deflection
angle in a SdS spacetime, to the case of a general spherically symmetric fluid
beyond the cosmological constant. We thus derive an analytic expression to
first post-Newtonian order for the lensing deflection angle in a general static
spherically symmetric metric of the form $ ds^2 = f(r)dt^{2}
-\frac{dr^{2}}{f(r)}-r^{2}(d\theta ^2 +\sin ^2 \theta d\phi ^2)$ with $f(r) = 1
- \frac{2m}{r}-\sum_{i} b_i\; r_0^{-q_i}\; \left( \frac{r_0}{r}\right)^{q_i}$
where $r_0$ is the lensing impact parameter, $b_i\ll r_0^{q_i}$, $m$ is the
mass of the lens and $q_i$ are real arbitrary constants related to the
properties of the fluid that surrounds the lens or to modified gravity. This is
a generalization of the well known Kiselev black hole metric. The approximate
analytic expression of the deflection angle is verified by an exact numerical
derivation and in special cases it reduces to results of previous studies. The
density and pressure of the spherically symmetric fluid that induces this
metric is derived in terms of the constants $b_i$. The Kiselev case of a
Schwarzschild metric perturbed by a general spherically symmetric dark fluid
(eg vacuum energy) is studied in some detail and consistency with the special
case of Rindler Ishak result is found for the case of a cosmological constant
background. Observational data of the Einstein radii from distant clusters of
galaxies lead to observational constraints on the constants $b_i$ and through
them on the density and pressure of dark fluids, field theories or modified
gravity theories that could induce this metric.
|
[
{
"created": "Fri, 24 Feb 2023 09:17:11 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Mar 2023 08:57:49 GMT",
"version": "v2"
},
{
"created": "Sat, 24 Jun 2023 14:57:10 GMT",
"version": "v3"
}
] |
2023-06-28
|
[
[
"Perivolaropoulos",
"L.",
""
],
[
"Antoniou",
"I.",
""
],
[
"Papadopoulos",
"D.",
""
]
] |
We generalize the Rindler-Ishak (2007) result for the lensing deflection angle in a SdS spacetime, to the case of a general spherically symmetric fluid beyond the cosmological constant. We thus derive an analytic expression to first post-Newtonian order for the lensing deflection angle in a general static spherically symmetric metric of the form $ ds^2 = f(r)dt^{2} -\frac{dr^{2}}{f(r)}-r^{2}(d\theta ^2 +\sin ^2 \theta d\phi ^2)$ with $f(r) = 1 - \frac{2m}{r}-\sum_{i} b_i\; r_0^{-q_i}\; \left( \frac{r_0}{r}\right)^{q_i}$ where $r_0$ is the lensing impact parameter, $b_i\ll r_0^{q_i}$, $m$ is the mass of the lens and $q_i$ are real arbitrary constants related to the properties of the fluid that surrounds the lens or to modified gravity. This is a generalization of the well known Kiselev black hole metric. The approximate analytic expression of the deflection angle is verified by an exact numerical derivation and in special cases it reduces to results of previous studies. The density and pressure of the spherically symmetric fluid that induces this metric is derived in terms of the constants $b_i$. The Kiselev case of a Schwarzschild metric perturbed by a general spherically symmetric dark fluid (eg vacuum energy) is studied in some detail and consistency with the special case of Rindler Ishak result is found for the case of a cosmological constant background. Observational data of the Einstein radii from distant clusters of galaxies lead to observational constraints on the constants $b_i$ and through them on the density and pressure of dark fluids, field theories or modified gravity theories that could induce this metric.
|
1605.05975
|
Klaus Liegener
|
Klaus Liegener and Thomas Thiemann
|
Towards the fundamental spectrum of the Quantum Yang-Mills Theory
|
51 pages
|
Phys. Rev. D 94, 024042 (2016)
|
10.1103/PhysRevD.94.024042
| null |
gr-qc hep-lat hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we focus on the quantum Einstein-Yang-Mills sector quantised by
the methods of Loop Quantum Gravity (LQG). We point out the improved UV
behaviour of the coupled system as compared to pure quantum Yang-Mills theory
on a fixed, classical background spacetime as was considered in a seminal work
by Kogut and Susskind. Furthermore, we develop a calculational scheme by which
the fundamental spectrum of the quantum Yang-Mills Hamiltonian can be computed
in principle and by which one can make contact to the Wilsonian renormalization
group, possibly purely within the Hamiltonian framework. Finally, we comment on
the relation of the fundamental spectrum to that of pure Yang-Mills theory on a
(flat) classical spacetime.
|
[
{
"created": "Thu, 19 May 2016 14:36:12 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jul 2016 18:00:46 GMT",
"version": "v2"
}
] |
2016-07-29
|
[
[
"Liegener",
"Klaus",
""
],
[
"Thiemann",
"Thomas",
""
]
] |
In this work we focus on the quantum Einstein-Yang-Mills sector quantised by the methods of Loop Quantum Gravity (LQG). We point out the improved UV behaviour of the coupled system as compared to pure quantum Yang-Mills theory on a fixed, classical background spacetime as was considered in a seminal work by Kogut and Susskind. Furthermore, we develop a calculational scheme by which the fundamental spectrum of the quantum Yang-Mills Hamiltonian can be computed in principle and by which one can make contact to the Wilsonian renormalization group, possibly purely within the Hamiltonian framework. Finally, we comment on the relation of the fundamental spectrum to that of pure Yang-Mills theory on a (flat) classical spacetime.
|
1412.1796
|
Marco Serone
|
Emtinan Elkhidir, Denis Karateev, Marco Serone
|
General Three-Point Functions in 4D CFT
|
26 pages; v2: minor improvements, references added, matches JHEP
published version; v3: eq.(3.10) corrected; v4: $X^+$ factors fixed in some
formulas, minor improvements
| null |
10.1007/JHEP01(2015)133
|
SISSA 65/2014/FISI
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We classify and compute, by means of the six-dimensional embedding formalism
in twistor space, all possible three-point functions in four dimensional
conformal field theories involving bosonic or fermionic operators in
irreducible representations of the Lorentz group. We show how to impose in this
formalism constraints due to conservation of bosonic or fermionic currents. The
number of independent tensor structures appearing in any three-point function
is obtained by a simple counting. Using the Operator Product Expansion (OPE),
we can then determine the number of structures appearing in 4-point functions
with arbitrary operators. This procedure is independent of the way we take the
OPE between pairs of operators, namely it is consistent with crossing symmetry,
as it should be. An analytic formula for the number of tensor structures for
three-point correlators with two symmetric and an arbitrary bosonic
(non-conserved) operators is found, which in turn allows to analytically
determine the number of structures in 4-point functions of symmetric traceless
tensors.
|
[
{
"created": "Thu, 4 Dec 2014 20:27:23 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Jan 2015 16:23:25 GMT",
"version": "v2"
},
{
"created": "Thu, 21 May 2015 13:29:33 GMT",
"version": "v3"
},
{
"created": "Mon, 25 Jan 2016 12:35:31 GMT",
"version": "v4"
}
] |
2016-01-26
|
[
[
"Elkhidir",
"Emtinan",
""
],
[
"Karateev",
"Denis",
""
],
[
"Serone",
"Marco",
""
]
] |
We classify and compute, by means of the six-dimensional embedding formalism in twistor space, all possible three-point functions in four dimensional conformal field theories involving bosonic or fermionic operators in irreducible representations of the Lorentz group. We show how to impose in this formalism constraints due to conservation of bosonic or fermionic currents. The number of independent tensor structures appearing in any three-point function is obtained by a simple counting. Using the Operator Product Expansion (OPE), we can then determine the number of structures appearing in 4-point functions with arbitrary operators. This procedure is independent of the way we take the OPE between pairs of operators, namely it is consistent with crossing symmetry, as it should be. An analytic formula for the number of tensor structures for three-point correlators with two symmetric and an arbitrary bosonic (non-conserved) operators is found, which in turn allows to analytically determine the number of structures in 4-point functions of symmetric traceless tensors.
|
hep-th/9707092
|
Lori Paniak
|
L.D. Paniak
|
Order Parameter for Confinement in Large N Gauge Theories with
Fundamental Matter
|
15 pages LaTeX, 6 eps figures, uses epsf
|
Phys.Rev. D56 (1997) 6566-6572
|
10.1103/PhysRevD.56.6566
| null |
hep-th hep-lat hep-ph
| null |
In a solvable model of two dimensional SU(N) (N \to \infty) gauge fields
interacting with matter in both adjoint and fundamental representations we
investigate the nature of the phase transition separating the strong and weak
coupling regions of the phase diagram. By interpreting the large N solution of
the model in terms of SU(N) representations it is shown that the strong
coupling phase corresponds to a region where a gap occurs in the spectrum of
irreducible representations. We identify a gauge invariant order parameter for
the generalized confinement-deconfinement transition and give a physical
meaning to each phase in terms of the interaction of a pair of test charges.
|
[
{
"created": "Thu, 10 Jul 1997 07:34:57 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Paniak",
"L. D.",
""
]
] |
In a solvable model of two dimensional SU(N) (N \to \infty) gauge fields interacting with matter in both adjoint and fundamental representations we investigate the nature of the phase transition separating the strong and weak coupling regions of the phase diagram. By interpreting the large N solution of the model in terms of SU(N) representations it is shown that the strong coupling phase corresponds to a region where a gap occurs in the spectrum of irreducible representations. We identify a gauge invariant order parameter for the generalized confinement-deconfinement transition and give a physical meaning to each phase in terms of the interaction of a pair of test charges.
|
hep-th/0212112
|
David Bailin
|
D. Bailin, G. V. Kraniotis, A.Love
|
Intersecting D5-brane models with massive vector-like leptons
|
15 pages, LaTeX file
|
JHEP 0302 (2003) 052
|
10.1088/1126-6708/2003/02/052
|
SUSX-TH-02-035
|
hep-th
| null |
We construct eight-stack intersecting D5-brane models, with an orbifold
transverse space, that yield the (non-supersymmetric) standard model up to
vector-like leptons. The matter includes right-chiral neutrinos and the models
have the renormalisable Yukawa couplings to tachyonic Higgs doublets needed to
generate mass terms for {\it all} matter, including the vector-like leptons.
The models are constrained by the requirement that twisted tadpoles cancel,
that the gauge boson coupled to the weak hypercharge $U(1)_Y$ does not get a
string-scale mass via a generalised Green-Schwarz mechanism, and that there are
no surviving, unwanted gauged U(1) symmetries coupled to matter.
Gauge coupling constant ratios close to those measured are easily obtained
for reasonable values of the parameters, consistently with having the string
scale close to the electroweak scale, as required to avoid the hierarchy
problem. Unwanted (colour-triplet, charged-singlet, and neutral-singlet) scalar
tachyons can be removed by a suitable choice of the parameters.
|
[
{
"created": "Tue, 10 Dec 2002 17:22:07 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Bailin",
"D.",
""
],
[
"Kraniotis",
"G. V.",
""
],
[
"Love",
"A.",
""
]
] |
We construct eight-stack intersecting D5-brane models, with an orbifold transverse space, that yield the (non-supersymmetric) standard model up to vector-like leptons. The matter includes right-chiral neutrinos and the models have the renormalisable Yukawa couplings to tachyonic Higgs doublets needed to generate mass terms for {\it all} matter, including the vector-like leptons. The models are constrained by the requirement that twisted tadpoles cancel, that the gauge boson coupled to the weak hypercharge $U(1)_Y$ does not get a string-scale mass via a generalised Green-Schwarz mechanism, and that there are no surviving, unwanted gauged U(1) symmetries coupled to matter. Gauge coupling constant ratios close to those measured are easily obtained for reasonable values of the parameters, consistently with having the string scale close to the electroweak scale, as required to avoid the hierarchy problem. Unwanted (colour-triplet, charged-singlet, and neutral-singlet) scalar tachyons can be removed by a suitable choice of the parameters.
|
2206.02053
|
Zhi-Wei Wang
|
Zhi-Wei Wang, Saurya Das, and Samuel L. Braunstein
|
Black holes, fast scrambling and the breakdown of the equivalence
principle
|
16 pages, 2 figures
| null | null | null |
gr-qc astro-ph.HE hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Black holes are conjectured to be the fastest quantum scramblers in nature,
with the stretched horizon being the scrambling boundary. Under this
assumption, we show that any infalling body must couple to virtually the entire
black hole Hilbert space even prior to the Page time in order for there to be
any hope of preserving the often-cited claim of the equivalence principle that
such bodies should experience `no drama' as they pass a black hole's horizon.
Further, under the scrambling assumption, we recover the usual firewall result
at the black hole's Page time for an initially pure-state black hole without
the need for any complexity or computational assumptions. For a black hole that
is initially impure, we find that the onset of the firewall is advanced to
times prior to the standard Page time. Finally, if black holes really do
efficiently scramble quantum information, this suggests that, in order to
preserve this claim of the equivalence principle even prior to the onset of a
full-blown firewall, the quantum state of a black hole interior must be a
Bose-Einstein condensate.
|
[
{
"created": "Sat, 4 Jun 2022 19:54:28 GMT",
"version": "v1"
}
] |
2022-06-07
|
[
[
"Wang",
"Zhi-Wei",
""
],
[
"Das",
"Saurya",
""
],
[
"Braunstein",
"Samuel L.",
""
]
] |
Black holes are conjectured to be the fastest quantum scramblers in nature, with the stretched horizon being the scrambling boundary. Under this assumption, we show that any infalling body must couple to virtually the entire black hole Hilbert space even prior to the Page time in order for there to be any hope of preserving the often-cited claim of the equivalence principle that such bodies should experience `no drama' as they pass a black hole's horizon. Further, under the scrambling assumption, we recover the usual firewall result at the black hole's Page time for an initially pure-state black hole without the need for any complexity or computational assumptions. For a black hole that is initially impure, we find that the onset of the firewall is advanced to times prior to the standard Page time. Finally, if black holes really do efficiently scramble quantum information, this suggests that, in order to preserve this claim of the equivalence principle even prior to the onset of a full-blown firewall, the quantum state of a black hole interior must be a Bose-Einstein condensate.
|
hep-th/9309125
|
Chris Pope
|
C.N. Pope
|
W-Strings 93
|
13 pages, Plain TeX, CTP TAMU-55/93
| null |
10.1142/9789814447072_0011
| null |
hep-th
| null |
We present a review of the status of $W$ string theories, their physical
spectra, and their interactions. (Based on review talks given at the Trieste
Spring Workshop, and the Strings 93 meeting at Berkeley, May 1993.)
|
[
{
"created": "Thu, 23 Sep 1993 04:37:03 GMT",
"version": "v1"
}
] |
2016-11-03
|
[
[
"Pope",
"C. N.",
""
]
] |
We present a review of the status of $W$ string theories, their physical spectra, and their interactions. (Based on review talks given at the Trieste Spring Workshop, and the Strings 93 meeting at Berkeley, May 1993.)
|
2309.15802
|
Runqing Wang
|
Antonio Delgado, Adam Martin, Runqing Wang
|
Hidden U(N) Symmetry behind N=1 Superamplitudes
|
29 pages, 10 figures
| null |
10.1007/JHEP11(2023)215
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we develop a Young diagram approach to constructing higher
dimensional operators formed from massless superfields and their
superderivatives in $\mathcal{N}=1$ supersymmetry. These operators are in
one-to-one correspondence with non-factorizable terms in on-shell
superamplitudes, which can be studied with massless spinor helicity techniques.
By relating all spin-helicity variables to certain representations under a
hidden $U(N)$ symmetry behind the theory, we show each non-factorizable
superamplitude can be identified with a specific Young tableau. The desired
tableau is picked out of a more general set of $U(N)$ tensor products by
enforcing the supersymmetric Ward identities. We then relate these Young
tableaux to higher dimensional superfield operators and list the rules to read
operators directly from Young tableau. Using this method, we present several
illustrative examples.
|
[
{
"created": "Wed, 27 Sep 2023 17:21:28 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Nov 2023 19:50:12 GMT",
"version": "v2"
}
] |
2023-12-04
|
[
[
"Delgado",
"Antonio",
""
],
[
"Martin",
"Adam",
""
],
[
"Wang",
"Runqing",
""
]
] |
In this paper we develop a Young diagram approach to constructing higher dimensional operators formed from massless superfields and their superderivatives in $\mathcal{N}=1$ supersymmetry. These operators are in one-to-one correspondence with non-factorizable terms in on-shell superamplitudes, which can be studied with massless spinor helicity techniques. By relating all spin-helicity variables to certain representations under a hidden $U(N)$ symmetry behind the theory, we show each non-factorizable superamplitude can be identified with a specific Young tableau. The desired tableau is picked out of a more general set of $U(N)$ tensor products by enforcing the supersymmetric Ward identities. We then relate these Young tableaux to higher dimensional superfield operators and list the rules to read operators directly from Young tableau. Using this method, we present several illustrative examples.
|
2103.14095
|
Paulo Jos\'e Ferreira Porf\'irio da Silva
|
B. Altschul, J. R. Nascimento, A. Yu. Petrov and P. J. Porf\'irio
|
First-order perturbations of G\"{o}del-type metrics in non-dynamical
Chern-Simons modified gravity
|
20 pages, 6 figures. Version accepted for publication in Classical
and Quantum Gravity
|
Classical and Quantum Gravity 39, 025002 (2022)
|
10.1088/1361-6382/ac3e50
| null |
gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
G\"{o}del-type metrics that are homogeneous in both space and time remain,
like the Schwarzschild metric, consistent within Chern-Simons modified gravity;
this is true in both the non-dynamical and dynamical frameworks, each of which
involves an additional pseudoscalar field coupled to the Pontryagin density. In
this paper, we consider stationary first-order perturbations to these metrics
in the non-dynamical framework. Under certain assumptions we find analytical
solutions to the perturbed field equations. The solutions of the first-order
field equations break the translational and cylindrical symmetries of the
unperturbed metrics. The effective potential controlling planar geodesic orbits
is also affected by the perturbation parameter, which changes the equilibrium
radii for the orbits of both massive particles and massless photons.
|
[
{
"created": "Thu, 25 Mar 2021 19:20:57 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Nov 2021 20:28:08 GMT",
"version": "v2"
}
] |
2021-12-17
|
[
[
"Altschul",
"B.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Petrov",
"A. Yu.",
""
],
[
"Porfírio",
"P. J.",
""
]
] |
G\"{o}del-type metrics that are homogeneous in both space and time remain, like the Schwarzschild metric, consistent within Chern-Simons modified gravity; this is true in both the non-dynamical and dynamical frameworks, each of which involves an additional pseudoscalar field coupled to the Pontryagin density. In this paper, we consider stationary first-order perturbations to these metrics in the non-dynamical framework. Under certain assumptions we find analytical solutions to the perturbed field equations. The solutions of the first-order field equations break the translational and cylindrical symmetries of the unperturbed metrics. The effective potential controlling planar geodesic orbits is also affected by the perturbation parameter, which changes the equilibrium radii for the orbits of both massive particles and massless photons.
|
0803.2822
|
S. Prem Kumar
|
Timothy J. Hollowood, S. Prem Kumar, Asad Naqvi and Philip Wild
|
N=4 SYM on S^3 with Near Critical Chemical Potentials
|
34 pages, 4 figures
|
JHEP 0808:046,2008
|
10.1088/1126-6708/2008/08/046
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the N = 4 theory at weak coupling, on a three sphere in the grand
canonical ensemble with R symmetry chemical potentials. We focus attention on
near critical values for the chemical potentials, above which the classical
theory has no ground state. By computing a one loop effective potential for the
light degrees of freedom in this regime, we show the existence of flat
directions of complex dimension N, 2N and 3N for one, two and three critical
chemical potentials respectively; these correspond to one half, one quarter and
one-eighth BPS states becoming light respectively at the critical values. At
small finite temperature we show that the chemical potentials can be continued
beyond their classical limiting values to yield a deconfined metastable phase
with lifetime diverging in the large N limit. Our low temperaure analysis
complements the high temperature metastability found by Yamada and Yaffe. The
resulting phase diagram at weak coupling bears a striking resemblance to the
strong coupling phase diagram for charged AdS black holes. Our analysis also
reveals subtle qualitative differences between the two regimes.
|
[
{
"created": "Wed, 19 Mar 2008 15:47:18 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Hollowood",
"Timothy J.",
""
],
[
"Kumar",
"S. Prem",
""
],
[
"Naqvi",
"Asad",
""
],
[
"Wild",
"Philip",
""
]
] |
We study the N = 4 theory at weak coupling, on a three sphere in the grand canonical ensemble with R symmetry chemical potentials. We focus attention on near critical values for the chemical potentials, above which the classical theory has no ground state. By computing a one loop effective potential for the light degrees of freedom in this regime, we show the existence of flat directions of complex dimension N, 2N and 3N for one, two and three critical chemical potentials respectively; these correspond to one half, one quarter and one-eighth BPS states becoming light respectively at the critical values. At small finite temperature we show that the chemical potentials can be continued beyond their classical limiting values to yield a deconfined metastable phase with lifetime diverging in the large N limit. Our low temperaure analysis complements the high temperature metastability found by Yamada and Yaffe. The resulting phase diagram at weak coupling bears a striking resemblance to the strong coupling phase diagram for charged AdS black holes. Our analysis also reveals subtle qualitative differences between the two regimes.
|
0904.0509
|
Peter Koroteev
|
Ivan Gordeli, Peter Koroteev
|
Comments on Holography with Broken Lorentz Invariance
|
10 pages, published in PRD
|
Phys.Rev.D80:126001,2009
|
10.1103/PhysRevD.80.126001
| null |
hep-th cond-mat.str-el gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently a family of solutions of Einstein equations in backgrounds with
broken Lorentz invariance was found ArXiv:0712.1136. We show that the
gravitational solution recently obtained by Kachru, Liu and Mulligan in
ArXiv:0808.1725 is a part of the former solution which was derived earlier in
the framework of extra dimensional theories. We show how the energy-momentum
and Einstein tensors are related and establish a correspondence between
parameters which govern Lorentz invariance violation. Then we demonstrate that
scaling behavior of two point correlation functions of local operators in
scalar field theory is reproduced correctly for two cases with critical values
of scaling parameters. Therefore, we complete the dictionary of "tree-level"
duality for all known solutions of the bulk theory. In the end we speculate on
relations between RG flow of a boundary theory and asymptotic behavior of
gravitational solutions in the bulk.
|
[
{
"created": "Fri, 3 Apr 2009 19:53:02 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Oct 2009 18:46:35 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Dec 2009 15:24:07 GMT",
"version": "v3"
}
] |
2009-12-17
|
[
[
"Gordeli",
"Ivan",
""
],
[
"Koroteev",
"Peter",
""
]
] |
Recently a family of solutions of Einstein equations in backgrounds with broken Lorentz invariance was found ArXiv:0712.1136. We show that the gravitational solution recently obtained by Kachru, Liu and Mulligan in ArXiv:0808.1725 is a part of the former solution which was derived earlier in the framework of extra dimensional theories. We show how the energy-momentum and Einstein tensors are related and establish a correspondence between parameters which govern Lorentz invariance violation. Then we demonstrate that scaling behavior of two point correlation functions of local operators in scalar field theory is reproduced correctly for two cases with critical values of scaling parameters. Therefore, we complete the dictionary of "tree-level" duality for all known solutions of the bulk theory. In the end we speculate on relations between RG flow of a boundary theory and asymptotic behavior of gravitational solutions in the bulk.
|
2103.01920
|
Nabil Iqbal
|
Nabil Iqbal, Simon F. Ross
|
Towards traversable wormholes from force-free plasmas
|
19 pages, 1 figure; v2: small clarifications, typos corrected; v3:
further typos corrected
|
SciPost Phys. 12, 086 (2022)
|
10.21468/SciPostPhys.12.3.086
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The near-horizon region of magnetically charged black holes can have very
strong magnetic fields. A useful low-energy effective theory for fluctuations
of the fields, coupled to electrically charged particles, is force-free
electrodynamics. The low energy collective excitations include a large number
of Alfven wave modes, which have a massless dispersion relation along the field
worldlines. We attempt to construct traversable wormhole solutions using the
negative Casimir energy of the Alfven wave modes, analogously to the recent
construction using charged massless fermions. The behaviour of massless scalars
in the near-horizon region implies that the size of the wormholes is strongly
restricted and cannot be made large, even though the force free description is
valid in a larger regime.
|
[
{
"created": "Tue, 2 Mar 2021 18:23:14 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jun 2021 14:26:03 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Oct 2021 11:21:10 GMT",
"version": "v3"
}
] |
2022-03-09
|
[
[
"Iqbal",
"Nabil",
""
],
[
"Ross",
"Simon F.",
""
]
] |
The near-horizon region of magnetically charged black holes can have very strong magnetic fields. A useful low-energy effective theory for fluctuations of the fields, coupled to electrically charged particles, is force-free electrodynamics. The low energy collective excitations include a large number of Alfven wave modes, which have a massless dispersion relation along the field worldlines. We attempt to construct traversable wormhole solutions using the negative Casimir energy of the Alfven wave modes, analogously to the recent construction using charged massless fermions. The behaviour of massless scalars in the near-horizon region implies that the size of the wormholes is strongly restricted and cannot be made large, even though the force free description is valid in a larger regime.
|
hep-th/0309115
|
Rui Neves
|
Rui Neves and Cenalo Vaz
|
Conformal Bulk Fields, Dark Energy and Brane Dynamics
|
12 pages, latex, 2 figures. Talk given by Rui Neves at the Fourth
International Conference on Physics Beyond the Standard Model, Beyond the
Desert 03, Fundamental Experimental and Theoretical Developments in Particle
Physics, Accelerator, Non-Accelerator and Space Approaches, Max Planck
Institut f. Kernphysik/MPI Heidelberg, Castle Ringberg, Tegernsee, Germany,
9-14 June 2003. To be published in the Conference Proceedings,
Springer-Verlag, Heidelberg, Germany
| null | null | null |
hep-th
| null |
In the Randall-Sundrum scenario we analyze the dynamics of a spherically
symmetric 3-brane when the bulk is filled with matter fields. Considering a
global conformal transformation whose factor is the $Z_2$ symmetric warp we
find a new set of exact dynamical solutions for which gravity is bound to the
brane. The set corresponds to a certain class of conformal bulk fields. We
discuss the geometries which describe the dynamics on the brane of polytropic
dark energy.
|
[
{
"created": "Thu, 11 Sep 2003 09:56:08 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Neves",
"Rui",
""
],
[
"Vaz",
"Cenalo",
""
]
] |
In the Randall-Sundrum scenario we analyze the dynamics of a spherically symmetric 3-brane when the bulk is filled with matter fields. Considering a global conformal transformation whose factor is the $Z_2$ symmetric warp we find a new set of exact dynamical solutions for which gravity is bound to the brane. The set corresponds to a certain class of conformal bulk fields. We discuss the geometries which describe the dynamics on the brane of polytropic dark energy.
|
1803.09653
|
Jaume Haro
|
Jaume de Haro, Llibert Arest\'e Sal\'o and Supriya Pan
|
Limiting curvature mimetic gravity and its relation to Loop Quantum
Cosmology
|
9 pages. Title changed. Accepted for publication in GERG
| null |
10.1007/s10714-019-2534-1
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Considering as usual that the underlying geometry of our universe is well
described by the spatially flat Friedmann-Lemaitre-Robertson-Walker line
element, we review how the background of holonomy corrected Loop Quantum
Cosmology (LQC) could be obtained as a simple modified version of the mimetic
gravity. We also analyze the scalar and tensor perturbations of this modified
mimetic model, from which we find that at the level of tensor perturbations it
is indistinguishable from General Relativity while at the level of scalar
perturbations, the modified mimetic model, which has the same background as
LQC, does not exhibit the same properties as LQC in the so-called deformed
algebra approach.
|
[
{
"created": "Mon, 26 Mar 2018 15:20:13 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Apr 2018 15:06:49 GMT",
"version": "v2"
},
{
"created": "Tue, 22 May 2018 06:45:46 GMT",
"version": "v3"
},
{
"created": "Fri, 22 Mar 2019 15:06:24 GMT",
"version": "v4"
}
] |
2019-05-01
|
[
[
"de Haro",
"Jaume",
""
],
[
"Saló",
"Llibert Aresté",
""
],
[
"Pan",
"Supriya",
""
]
] |
Considering as usual that the underlying geometry of our universe is well described by the spatially flat Friedmann-Lemaitre-Robertson-Walker line element, we review how the background of holonomy corrected Loop Quantum Cosmology (LQC) could be obtained as a simple modified version of the mimetic gravity. We also analyze the scalar and tensor perturbations of this modified mimetic model, from which we find that at the level of tensor perturbations it is indistinguishable from General Relativity while at the level of scalar perturbations, the modified mimetic model, which has the same background as LQC, does not exhibit the same properties as LQC in the so-called deformed algebra approach.
|
2307.10365
|
Nemanja Kaloper
|
Nemanja Kaloper
|
Axion Flux Monodromy Discharges Relax the Cosmological Constant
|
21 pages, 4 .png figures; v3: final version in JCAP
| null | null | null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Linear axion monodromy models modulated with higher powers of fields
naturally realize the quantum-mechanical flux discharge mechanism for relaxing
the cosmological constant toward zero. Working with multiple copies of
superposed linear and quadratic flux monodromies, each copy spanned by a pair
of fluxes, we show that when the axion is very massive and so effectively
decoupled, the membrane discharges relax the cosmological constant toward an
attractor $0 < \Lambda/\mpl^4 \ll 1$. If we restrict the flux variations and
the intermediate flux values to never venture beyond a finite flux range, the
terminal value of the cosmological constant will be tiny but finite. We show
how it can reproduce the observed scale of dark energy, and explain how to
incorporate matter sector phase transitions.
|
[
{
"created": "Wed, 19 Jul 2023 18:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Jul 2023 18:04:59 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Oct 2023 16:51:36 GMT",
"version": "v3"
}
] |
2023-10-26
|
[
[
"Kaloper",
"Nemanja",
""
]
] |
Linear axion monodromy models modulated with higher powers of fields naturally realize the quantum-mechanical flux discharge mechanism for relaxing the cosmological constant toward zero. Working with multiple copies of superposed linear and quadratic flux monodromies, each copy spanned by a pair of fluxes, we show that when the axion is very massive and so effectively decoupled, the membrane discharges relax the cosmological constant toward an attractor $0 < \Lambda/\mpl^4 \ll 1$. If we restrict the flux variations and the intermediate flux values to never venture beyond a finite flux range, the terminal value of the cosmological constant will be tiny but finite. We show how it can reproduce the observed scale of dark energy, and explain how to incorporate matter sector phase transitions.
|
hep-th/9707137
| null |
A. Bassetto, G. Nardelli and E. Vianello
|
The Schwinger Model in Light-Cone Gauge
|
CERN-TH/97-164, 35 pages, revTeX, no figures
|
Phys.Rev. D56 (1997) 3631-3645
|
10.1103/PhysRevD.56.3631
| null |
hep-th hep-ph
| null |
The Schwinger model, defined in the space interval $-L \le x \le L$, with
(anti)periodic boundary conditions, is canonically quantized in the light-cone
gauge $A_-=0$ by means of equal-time (anti)commutation relations. The
transformation diagonalizing the complete Hamiltonian is explicitly
constructed, thereby giving spectrum, chiral anomaly and condensate. The
structures of Hilbert spaces related both to free and to interacting
Hamiltonians are completely exhibited. Besides the usual massive field, two
chiral massless fields are present, which can be consistently expunged from the
physical space by means of a subsidiary condition of a Gupta-Bleuler type. The
chiral condensate does provide the correct non-vanishing value in the
decompactification limit $L \to \infty$.
|
[
{
"created": "Tue, 15 Jul 1997 10:18:25 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Bassetto",
"A.",
""
],
[
"Nardelli",
"G.",
""
],
[
"Vianello",
"E.",
""
]
] |
The Schwinger model, defined in the space interval $-L \le x \le L$, with (anti)periodic boundary conditions, is canonically quantized in the light-cone gauge $A_-=0$ by means of equal-time (anti)commutation relations. The transformation diagonalizing the complete Hamiltonian is explicitly constructed, thereby giving spectrum, chiral anomaly and condensate. The structures of Hilbert spaces related both to free and to interacting Hamiltonians are completely exhibited. Besides the usual massive field, two chiral massless fields are present, which can be consistently expunged from the physical space by means of a subsidiary condition of a Gupta-Bleuler type. The chiral condensate does provide the correct non-vanishing value in the decompactification limit $L \to \infty$.
|
hep-th/9612063
|
Park Q.-Han
|
Phillial Oh and Q-Han Park
|
Self-Dual Chern-Simons Solitons and Generalized Heisenberg Ferromagnet
Models
|
11 pages
|
Phys.Lett.B400:157-162,1997; Erratum-ibid.B416:452,1998
|
10.1016/S0370-2693(97)00314-6
|
SNUTP 96-112
|
hep-th
| null |
We consider the (2+1)-dimensional gauged Heisenberg ferromagnet model coupled
with the Chern-Simons gauge fields. Self-dual Chern-Simons solitons, the static
zero energy solution saturating Bogomol'nyi bounds, are shown to exist when the
generalized spin variable is valued in the Hermitian symmetric spaces G/H. By
gauging the maximal torus subgroup of H, we obtain self-dual solitons which
satisfy vortex-type nonlinear equations thereby extending the two dimensional
instantons in a nontrivial way. An explicit example for the CP(N) case is
given.
|
[
{
"created": "Fri, 6 Dec 1996 00:26:52 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Oh",
"Phillial",
""
],
[
"Park",
"Q-Han",
""
]
] |
We consider the (2+1)-dimensional gauged Heisenberg ferromagnet model coupled with the Chern-Simons gauge fields. Self-dual Chern-Simons solitons, the static zero energy solution saturating Bogomol'nyi bounds, are shown to exist when the generalized spin variable is valued in the Hermitian symmetric spaces G/H. By gauging the maximal torus subgroup of H, we obtain self-dual solitons which satisfy vortex-type nonlinear equations thereby extending the two dimensional instantons in a nontrivial way. An explicit example for the CP(N) case is given.
|
gr-qc/0212062
|
Ujjal Debnath
|
Ujjal Debnath and Subenoy Chakraborty
|
The study of gravitational collapse model in higher dimensional
space-time
|
6 Latex pages, No figure, Revtex style
|
Mod.Phys.Lett.A18:1265,2003
|
10.1142/S0217732303009721
| null |
gr-qc
| null |
We investigate the end state of the gravitational collapse of an
inhomogeneous dust cloud in higher dimensional space-time. The naked
singularities are shown to be developing as the final outcome of non-marginally
bound collapse. The naked singularities are found to be gravitationally strong
in the sense of Tipler .
|
[
{
"created": "Fri, 13 Dec 2002 17:01:04 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Feb 2003 11:14:44 GMT",
"version": "v2"
}
] |
2014-11-17
|
[
[
"Debnath",
"Ujjal",
""
],
[
"Chakraborty",
"Subenoy",
""
]
] |
We investigate the end state of the gravitational collapse of an inhomogeneous dust cloud in higher dimensional space-time. The naked singularities are shown to be developing as the final outcome of non-marginally bound collapse. The naked singularities are found to be gravitationally strong in the sense of Tipler .
|
1910.09568
|
Federico Carta
|
Federico Carta, Simone Giacomelli, Hirotaka Hayashi, Raffaele Savelli
|
The Geometry of SUSY Enhancement
|
40 pages, 4 figures
| null |
10.1007/JHEP02(2020)106
| null |
hep-th
|
http://creativecommons.org/publicdomain/zero/1.0/
|
We provide a precise geometric picture that demystifies the phenomenon of
supersymmetry enhancement along certain RG flows of four-dimensional field
theories, recently discovered by Maruyoshi and Song. It applies to theories of
arbitrary rank and it is based on a hyperk\"ahler-structure restoration on the
moduli space of solutions of (twisted) Hitchin systems, which underly the
class-S construction we use as an engineering tool. Along the way, we formulate
a necessary algebraic condition for supersymmetry enhancement, and, when
enhancement occurs, we are able to derive the Seiberg-Witten geometry and all
conformal dimensions of Coulomb-branch operators for the infrared theory,
without using a-maximization.
|
[
{
"created": "Mon, 21 Oct 2019 18:00:19 GMT",
"version": "v1"
}
] |
2020-03-18
|
[
[
"Carta",
"Federico",
""
],
[
"Giacomelli",
"Simone",
""
],
[
"Hayashi",
"Hirotaka",
""
],
[
"Savelli",
"Raffaele",
""
]
] |
We provide a precise geometric picture that demystifies the phenomenon of supersymmetry enhancement along certain RG flows of four-dimensional field theories, recently discovered by Maruyoshi and Song. It applies to theories of arbitrary rank and it is based on a hyperk\"ahler-structure restoration on the moduli space of solutions of (twisted) Hitchin systems, which underly the class-S construction we use as an engineering tool. Along the way, we formulate a necessary algebraic condition for supersymmetry enhancement, and, when enhancement occurs, we are able to derive the Seiberg-Witten geometry and all conformal dimensions of Coulomb-branch operators for the infrared theory, without using a-maximization.
|
gr-qc/9806056
|
Robert Mann
|
I.S. Booth and R.B. Mann
|
Cosmological Pair Production of Charged and Rotating Black Holes
|
Latex, 49 pages, 9 figures, uses psfig, typos corrected in eqns 107,
108 and between eqns 92 and 93. References updated
|
Nucl.Phys. B539 (1999) 267-306
|
10.1016/S0550-3213(98)00756-1
|
WATPHYS-TH98/04
|
gr-qc
| null |
We investigate the general process of black hole pair creation in a
cosmological background, considering the creation of charged and rotating black
holes. We motivate the use of Kerr-Newmann-deSitter solutions to investigate
this process, showing how they arise from more general C-metric type solutions
that describe a pair of general black holes accelerating away from each other
in a cosmological background. All possible KNdS-type spacetimes are classified
and we examine whether they may be considered to be in full thermodynamic
equilibrium. Instantons that mediate the creation of these space-times are
constructed and we see that they are necessarily complex due to regularity
requirements. Thus we argue that instantons need not always be real Euclidean
solutions to the Einstein equations. Finally, we calculate the actions of these
instantons and find that the standard action functional must be modified to
correctly take into account the effects of the rotation. The resultant
probabilities for the creation of the space-times are found to be real and
consistent with the interpretation that the entropy of a charged and rotating
black hole is the logarithm of the number of its quantum states.
|
[
{
"created": "Thu, 11 Jun 1998 20:04:30 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Feb 1999 19:47:50 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Booth",
"I. S.",
""
],
[
"Mann",
"R. B.",
""
]
] |
We investigate the general process of black hole pair creation in a cosmological background, considering the creation of charged and rotating black holes. We motivate the use of Kerr-Newmann-deSitter solutions to investigate this process, showing how they arise from more general C-metric type solutions that describe a pair of general black holes accelerating away from each other in a cosmological background. All possible KNdS-type spacetimes are classified and we examine whether they may be considered to be in full thermodynamic equilibrium. Instantons that mediate the creation of these space-times are constructed and we see that they are necessarily complex due to regularity requirements. Thus we argue that instantons need not always be real Euclidean solutions to the Einstein equations. Finally, we calculate the actions of these instantons and find that the standard action functional must be modified to correctly take into account the effects of the rotation. The resultant probabilities for the creation of the space-times are found to be real and consistent with the interpretation that the entropy of a charged and rotating black hole is the logarithm of the number of its quantum states.
|
2104.10717
|
Tomas Ortin
|
T. Ort\'in
|
Komar integrals for theories of higher order in the curvature and
black-hole chemistry
|
Some misprints corrected
| null |
10.1007/JHEP08(2021)023
|
IFT-UAM/CSIC-21-42
|
gr-qc hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct Komar-type integrals for theories of gravity of higher order in
the Riemann curvature coupled to simple kinds of matter (scalar and vector
fields) and we use them to compute Smarr formulae for black-hole solutions in
those theories. The equivalence between f(R) and Brans-Dicke theories is used
to argue that the dimensionful parameters that appear in scalar potentials must
be interpreted as thermodynamical variables ("pressures") and we give a general
expression for their conjugate potentials ("volumes"}.
|
[
{
"created": "Wed, 21 Apr 2021 18:36:40 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Jun 2021 18:48:43 GMT",
"version": "v2"
}
] |
2021-09-01
|
[
[
"Ortín",
"T.",
""
]
] |
We construct Komar-type integrals for theories of gravity of higher order in the Riemann curvature coupled to simple kinds of matter (scalar and vector fields) and we use them to compute Smarr formulae for black-hole solutions in those theories. The equivalence between f(R) and Brans-Dicke theories is used to argue that the dimensionful parameters that appear in scalar potentials must be interpreted as thermodynamical variables ("pressures") and we give a general expression for their conjugate potentials ("volumes"}.
|
gr-qc/9603021
| null |
Hisashi Onozawa, Takashi Mishima, Takashi Okamura, Hideki Ishihara,
(Tokyo Institute of Technology)
|
Quasinormal modes of maximally charged black holes
|
17 pages, 2 eps figures
|
Phys.Rev. D53 (1996) 7033-7040
|
10.1103/PhysRevD.53.7033
|
TIT/HEP-311/COSMO-61
|
gr-qc
| null |
A new algorithm for computing the accurate values of quasinormal frequencies
of extremal Reissner-Nordstr\"{o}m black holes is presented. The numerically
computed values are consistent with the values earlier obtained by Leaver and
those obtained through the WKB method. Our results are more precise than other
results known to date.
We also find a curious fact that the resonant frequencies of gravitational
waves with multi-pole index $l$ coincide with those of electromagnetic waves
with multi-pole index $l-1$ in the extremal limit.
|
[
{
"created": "Wed, 13 Mar 1996 19:59:42 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Onozawa",
"Hisashi",
""
],
[
"Mishima",
"Takashi",
""
],
[
"Okamura",
"Takashi",
""
],
[
"Ishihara",
"Hideki",
""
]
] |
A new algorithm for computing the accurate values of quasinormal frequencies of extremal Reissner-Nordstr\"{o}m black holes is presented. The numerically computed values are consistent with the values earlier obtained by Leaver and those obtained through the WKB method. Our results are more precise than other results known to date. We also find a curious fact that the resonant frequencies of gravitational waves with multi-pole index $l$ coincide with those of electromagnetic waves with multi-pole index $l-1$ in the extremal limit.
|
2307.13745
|
H\'ector Parra De Freitas
|
Bernardo Fraiman, Mariana Gra\~na, H\'ector Parra De Freitas, Savdeep
Sethi
|
Non-Supersymmetric Heterotic Strings on a Circle
|
55 pages + appendices
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by a recent construction of non-supersymmetric $\text{AdS}_3$, we
revisit the $O(16)\times O(16)$ heterotic string compactified on a torus. The
string one-loop potential energy has interesting dependence on the classical
moduli; extrema of this potential include loci where the gauge symmetry is
maximally enhanced. Focusing on the case of a circle, we use lattice embeddings
to find the maximal enhancement points together with their spectra of massless
and tachyonic modes. We find an extended Dynkin diagram that encodes the global
structure of the moduli space, as well as all symmetry enhancements and the
loci where they occur. We find $107$ points of maximal enhancement with $8$
that are free of tachyons. The tachyon-free points each have positive
cosmological constant. We determine the profile of the potential energy near
each of these points and find that one is a maximum while three are saddle
points. The remaining four live at the boundary of a tachyonic region in field
space. In this way, we show that every point of maximal symmetry enhancement is
unstable. We further find that the curvature of this stringy potential
satisfies the de Sitter swampland conjecture. Finally, we discuss the
implications for constructions of $\text{AdS}_3$.
|
[
{
"created": "Tue, 25 Jul 2023 18:04:13 GMT",
"version": "v1"
}
] |
2023-07-27
|
[
[
"Fraiman",
"Bernardo",
""
],
[
"Graña",
"Mariana",
""
],
[
"De Freitas",
"Héctor Parra",
""
],
[
"Sethi",
"Savdeep",
""
]
] |
Motivated by a recent construction of non-supersymmetric $\text{AdS}_3$, we revisit the $O(16)\times O(16)$ heterotic string compactified on a torus. The string one-loop potential energy has interesting dependence on the classical moduli; extrema of this potential include loci where the gauge symmetry is maximally enhanced. Focusing on the case of a circle, we use lattice embeddings to find the maximal enhancement points together with their spectra of massless and tachyonic modes. We find an extended Dynkin diagram that encodes the global structure of the moduli space, as well as all symmetry enhancements and the loci where they occur. We find $107$ points of maximal enhancement with $8$ that are free of tachyons. The tachyon-free points each have positive cosmological constant. We determine the profile of the potential energy near each of these points and find that one is a maximum while three are saddle points. The remaining four live at the boundary of a tachyonic region in field space. In this way, we show that every point of maximal symmetry enhancement is unstable. We further find that the curvature of this stringy potential satisfies the de Sitter swampland conjecture. Finally, we discuss the implications for constructions of $\text{AdS}_3$.
|
hep-th/0703078
|
E. Ragoucy
|
J. M. Drummond, G. Feverati, L. Frappat, E. Ragoucy
|
Super-Hubbard models and applications
|
26 pages
|
JHEP 0705:008,2007
|
10.1088/1126-6708/2007/05/008
|
LAPTH-1176/07
|
hep-th cond-mat.str-el nlin.SI
| null |
We construct XX- and Hubbard- like models based on unitary superalgebras
gl(N|M) generalising Shastry's and Maassarani's approach of the algebraic case.
We introduce the R-matrix of the gl(N|M) XX model and that of the Hubbard model
defined by coupling two independent XX models. In both cases, we show that the
R-matrices satisfy the Yang--Baxter equation, we derive the corresponding local
Hamiltonian in the transfer matrix formalism and we determine the symmetry of
the Hamiltonian. Explicit examples are worked out. In the cases of the gl(1|2)
and gl(2|2) Hubbard models, a perturbative calculation at two loops a la Klein
and Seitz is performed.
|
[
{
"created": "Thu, 8 Mar 2007 14:44:14 GMT",
"version": "v1"
},
{
"created": "Mon, 14 May 2007 15:11:24 GMT",
"version": "v2"
}
] |
2010-10-27
|
[
[
"Drummond",
"J. M.",
""
],
[
"Feverati",
"G.",
""
],
[
"Frappat",
"L.",
""
],
[
"Ragoucy",
"E.",
""
]
] |
We construct XX- and Hubbard- like models based on unitary superalgebras gl(N|M) generalising Shastry's and Maassarani's approach of the algebraic case. We introduce the R-matrix of the gl(N|M) XX model and that of the Hubbard model defined by coupling two independent XX models. In both cases, we show that the R-matrices satisfy the Yang--Baxter equation, we derive the corresponding local Hamiltonian in the transfer matrix formalism and we determine the symmetry of the Hamiltonian. Explicit examples are worked out. In the cases of the gl(1|2) and gl(2|2) Hubbard models, a perturbative calculation at two loops a la Klein and Seitz is performed.
|
hep-th/0211198
|
Volovich Anastasia
|
Yang-Hui He, John H. Schwarz, Marcus Spradlin, Anastasia Volovich
|
Explicit Formulas for Neumann Coefficients in the Plane-Wave Geometry
|
28 pages, 2 figures, v2: reference added, new comments and appendix,
typos fixed in eqs. (86) and (89)
|
Phys.Rev. D67 (2003) 086005
|
10.1103/PhysRevD.67.086005
|
CALT-68-2413, NSF-KITP-02-162, PUPT-2058, UPR-1021-T
|
hep-th
| null |
We obtain explicit formulas for the Neumann coefficients and associated
quantities that appear in the three-string vertex for type IIB string theory in
a plane-wave background, for any value of the mass parameter mu. The derivation
involves constructing the inverse of a certain infinite-dimensional matrix, in
terms of which the Neumann coefficients previously had been written only
implicitly. We derive asymptotic expansions for large mu and find unexpectedly
simple results, which are valid to all orders in 1/mu. Using BMN duality, these
give predictions for certain gauge theory quantities to all orders in the
modified 't Hooft coupling lambda'. A specific example is presented.
|
[
{
"created": "Thu, 21 Nov 2002 17:11:15 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Dec 2002 23:59:23 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"He",
"Yang-Hui",
""
],
[
"Schwarz",
"John H.",
""
],
[
"Spradlin",
"Marcus",
""
],
[
"Volovich",
"Anastasia",
""
]
] |
We obtain explicit formulas for the Neumann coefficients and associated quantities that appear in the three-string vertex for type IIB string theory in a plane-wave background, for any value of the mass parameter mu. The derivation involves constructing the inverse of a certain infinite-dimensional matrix, in terms of which the Neumann coefficients previously had been written only implicitly. We derive asymptotic expansions for large mu and find unexpectedly simple results, which are valid to all orders in 1/mu. Using BMN duality, these give predictions for certain gauge theory quantities to all orders in the modified 't Hooft coupling lambda'. A specific example is presented.
|
2110.08809
|
Seokcheon Lee
|
Seokcheon Lee
|
Determination of varying speed of light from Black hole
|
12pages, 1 figure
| null | null | null |
gr-qc astro-ph.CO
|
http://creativecommons.org/licenses/by/4.0/
|
Recently, a viable varying speed of light (VSL) model has been proposed to
solve various late-time cosmological problems. This model has one free
parameter, $b$, to characterize the time variation of the speed of light as a
function of a scale factor, $c = c_0 a^{b/4}$. Time variation of various
physical constants and quantities are also given by different powers of scale
factor as a function of $b$. Both the sign and the magnitude of this parameter
are generally arbitrary. One can constrain the value of this free parameter,
$b$ from cosmological observation. However, we might be able to theoretically
determine the sign of this parameter by using the general second law of
thermodynamics of the black hole. Any value of $b$ satisfies the generalized
second thermodynamics laws of the black hole except the astrophysical black
holes. The positive values of $b$ are required when the pair-production charge
of the black hole contributes to entropy changes.
|
[
{
"created": "Sun, 17 Oct 2021 12:33:36 GMT",
"version": "v1"
}
] |
2021-10-19
|
[
[
"Lee",
"Seokcheon",
""
]
] |
Recently, a viable varying speed of light (VSL) model has been proposed to solve various late-time cosmological problems. This model has one free parameter, $b$, to characterize the time variation of the speed of light as a function of a scale factor, $c = c_0 a^{b/4}$. Time variation of various physical constants and quantities are also given by different powers of scale factor as a function of $b$. Both the sign and the magnitude of this parameter are generally arbitrary. One can constrain the value of this free parameter, $b$ from cosmological observation. However, we might be able to theoretically determine the sign of this parameter by using the general second law of thermodynamics of the black hole. Any value of $b$ satisfies the generalized second thermodynamics laws of the black hole except the astrophysical black holes. The positive values of $b$ are required when the pair-production charge of the black hole contributes to entropy changes.
|
1407.2634
|
Paola Arias
|
Paola Arias and Fidel A. Schaposnik
|
Vortex solutions of an Abelian Higgs model with visible and hidden
sectors
|
22 pages, 10 figures, version accepted in JHEP
|
JHEP12(2014)011
|
10.1007/JHEP12(2014)011
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study vortex solutions in a theory with dynamics governed by two weakly
coupled Abelian Higgs models, describing a hidden sector and a visible sector.
We analyze the radial dependence of the axially symmetric solutions constructed
numerically and discuss the stability of vortex configurations for different
values of the model parameters, studying in detail vortex decay into lower
energy configurations. We find that even in a weak coupling regime vortex
solutions strongly depend on the parameters of both the visible and hidden
sectors. We also discuss on qualitative grounds possible implications of the
existence of a hidden sector in connection with superconductivity.
|
[
{
"created": "Wed, 9 Jul 2014 20:47:16 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Sep 2014 19:04:00 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Dec 2014 19:02:55 GMT",
"version": "v3"
}
] |
2014-12-16
|
[
[
"Arias",
"Paola",
""
],
[
"Schaposnik",
"Fidel A.",
""
]
] |
We study vortex solutions in a theory with dynamics governed by two weakly coupled Abelian Higgs models, describing a hidden sector and a visible sector. We analyze the radial dependence of the axially symmetric solutions constructed numerically and discuss the stability of vortex configurations for different values of the model parameters, studying in detail vortex decay into lower energy configurations. We find that even in a weak coupling regime vortex solutions strongly depend on the parameters of both the visible and hidden sectors. We also discuss on qualitative grounds possible implications of the existence of a hidden sector in connection with superconductivity.
|
1202.6309
|
Tsulaia Mirian
|
Mirian Tsulaia
|
On Tensorial Spaces and BCFW Recursion Relations for Higher Spin Fields
|
26 pages, Invited Review, discussion improved, references added
|
Int.J.Mod.Phys.A27:1230011,2012
|
10.1142/S0217751X12300116
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this short review we briefly consider two topics in the higher spin gauge
theory: the method of "tensorial (super) spaces" and application of BCFW
recursion relations to higher spin fields.
|
[
{
"created": "Tue, 28 Feb 2012 18:09:24 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Apr 2012 10:42:03 GMT",
"version": "v2"
}
] |
2014-08-19
|
[
[
"Tsulaia",
"Mirian",
""
]
] |
In this short review we briefly consider two topics in the higher spin gauge theory: the method of "tensorial (super) spaces" and application of BCFW recursion relations to higher spin fields.
|
1305.3088
|
Tajron Juri\'c mag.phys
|
Tajron Juric, Stjepan Meljanac, Rina Strajn
|
Twists, realizations and Hopf algebroid structure of kappa-deformed
phase space
|
34 pages, revised version, accepted in IJMPA
|
International Journal of Modern Physics A Vol. 29 (2014) 1450022
|
10.1142/S0217751X14500225
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The quantum phase space described by Heisenberg algebra possesses undeformed
Hopf algebroid structure. The $\kappa$-deformed phase space with noncommutative
coordinates is realized in terms of undeformed quantum phase space. There are
infinitely many such realizations related by similarity transformations. For a
given realization we construct corresponding coproducts of commutative
coordinates and momenta (bialgebroid structure). The $\kappa$-deformed phase
space has twisted Hopf algebroid structure. General method for the construction
of twist operator (satisfying cocycle and normalization condition)
corresponding to deformed coalgebra structure is presented. Specially, twist
for natural realization (classical basis) of $\kappa$-Minkowski spacetime is
presented. The cocycle condition, $\kappa$-Poincar\'{e} algebra and $R$-matrix
are discussed. Twist operators in arbitrary realizations are constructed from
the twist in the given realization using similarity transformations. Some
examples are presented. The important physical applications of twists,
realizations, $R$-matrix and Hopf algebroid structure are discussed.
|
[
{
"created": "Tue, 14 May 2013 10:09:29 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jan 2014 13:32:14 GMT",
"version": "v2"
}
] |
2014-02-10
|
[
[
"Juric",
"Tajron",
""
],
[
"Meljanac",
"Stjepan",
""
],
[
"Strajn",
"Rina",
""
]
] |
The quantum phase space described by Heisenberg algebra possesses undeformed Hopf algebroid structure. The $\kappa$-deformed phase space with noncommutative coordinates is realized in terms of undeformed quantum phase space. There are infinitely many such realizations related by similarity transformations. For a given realization we construct corresponding coproducts of commutative coordinates and momenta (bialgebroid structure). The $\kappa$-deformed phase space has twisted Hopf algebroid structure. General method for the construction of twist operator (satisfying cocycle and normalization condition) corresponding to deformed coalgebra structure is presented. Specially, twist for natural realization (classical basis) of $\kappa$-Minkowski spacetime is presented. The cocycle condition, $\kappa$-Poincar\'{e} algebra and $R$-matrix are discussed. Twist operators in arbitrary realizations are constructed from the twist in the given realization using similarity transformations. Some examples are presented. The important physical applications of twists, realizations, $R$-matrix and Hopf algebroid structure are discussed.
|
1311.5157
|
Tomas Andrade
|
Tomas Andrade and Benjamin Withers
|
A simple holographic model of momentum relaxation
|
22 pages, no figures. references added
| null |
10.1007/JHEP05(2014)101
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a holographic model consisting of Einstein-Maxwell theory in
(d+1) bulk spacetime dimensions with (d-1) massless scalar fields. Momentum
relaxation is realised simply through spatially dependent sources for operators
dual to the neutral scalars, which can be engineered so that the bulk stress
tensor and resulting black brane geometry are homogeneous and isotropic. We
analytically calculate the DC conductivity, which is finite. In the d=3 case,
both the black hole geometry and shear-mode current-current correlators are
those of a sector of massive gravity.
|
[
{
"created": "Wed, 20 Nov 2013 18:15:40 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Dec 2013 13:15:01 GMT",
"version": "v2"
}
] |
2015-06-18
|
[
[
"Andrade",
"Tomas",
""
],
[
"Withers",
"Benjamin",
""
]
] |
We consider a holographic model consisting of Einstein-Maxwell theory in (d+1) bulk spacetime dimensions with (d-1) massless scalar fields. Momentum relaxation is realised simply through spatially dependent sources for operators dual to the neutral scalars, which can be engineered so that the bulk stress tensor and resulting black brane geometry are homogeneous and isotropic. We analytically calculate the DC conductivity, which is finite. In the d=3 case, both the black hole geometry and shear-mode current-current correlators are those of a sector of massive gravity.
|
2305.06838
|
Adailton Ara\'ujo Filho
|
N. Heidari, H. Hassanabadi, A. A. Ara\'ujo Filho, J. Kriz, S. Zare, P.
J. Porf\'irio
|
Gravitational signatures of a non--commutative stable black hole
|
38 pages, 11 figures and 6 tables
|
Physics of the Dark Universe, Volume 43, 2024, 101382
|
10.1016/j.dark.2023.101382
| null |
gr-qc hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This work investigates several key aspects of a non--commutative theory with
mass deformation. We calculate thermodynamic properties of the system and
compare our results with recent literature. We examine the \textit{quasinormal}
modes of massless scalar perturbations using two approaches: the WKB
approximation and the P\"oschl--Teller fitting method. Our results indicate
that stronger non--commutative parameters lead to slower damping oscillations
of gravitational waves and higher partial absorption cross sections.
Furthermore, we study the geodesics of massless and massive particles,
highlighting that the non--commutative parameter $\Theta$ significantly impacts
the paths of light and event horizons. Also, we calculate the shadows, which
show that larger values of $\Theta$ correspond to larger shadow radii, and
provide some constraints on $\Theta$ applying the observation of Sgr $A^{*}$
from the Event Horizon Telescope. Finally, we explore the deflection angle in
this context.
|
[
{
"created": "Thu, 11 May 2023 14:31:22 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Nov 2023 13:12:19 GMT",
"version": "v2"
}
] |
2023-11-30
|
[
[
"Heidari",
"N.",
""
],
[
"Hassanabadi",
"H.",
""
],
[
"Filho",
"A. A. Araújo",
""
],
[
"Kriz",
"J.",
""
],
[
"Zare",
"S.",
""
],
[
"Porfírio",
"P. J.",
""
]
] |
This work investigates several key aspects of a non--commutative theory with mass deformation. We calculate thermodynamic properties of the system and compare our results with recent literature. We examine the \textit{quasinormal} modes of massless scalar perturbations using two approaches: the WKB approximation and the P\"oschl--Teller fitting method. Our results indicate that stronger non--commutative parameters lead to slower damping oscillations of gravitational waves and higher partial absorption cross sections. Furthermore, we study the geodesics of massless and massive particles, highlighting that the non--commutative parameter $\Theta$ significantly impacts the paths of light and event horizons. Also, we calculate the shadows, which show that larger values of $\Theta$ correspond to larger shadow radii, and provide some constraints on $\Theta$ applying the observation of Sgr $A^{*}$ from the Event Horizon Telescope. Finally, we explore the deflection angle in this context.
|
hep-th/0408214
|
Sannino Francesco
|
A. Feo (Parma Univ.), P. Merlatti (NORDITA) and F. Sannino (NORDITA)
|
Information on the Super Yang-Mills Spectrum
|
LaTeX, 14 pages + 2 figures
|
Phys.Rev.D70:096004,2004
|
10.1103/PhysRevD.70.096004
| null |
hep-th hep-lat hep-ph
| null |
We investigate the spectrum of the lightest states of N=1 Super Yang-Mills.
We first study the spectrum using the recently extended Veneziano Yankielowicz
theory containing also the glueball states besides the gluinoball ones. Using a
simple Kahler term we show that within the effective Lagrangian approach one
can accommodate either the possibility in which the glueballs are heavier or
lighter than the gluinoball fields.
We then provide an effective Lagrangian independent argument which allows,
using information about ordinary QCD, to deduce that the lightest states in
super Yang-Mills are the gluinoballs. This helps constraining the Kahler term
of the effective Lagrangian. Using this information and the effective
Lagrangian we note that there is a small mixing among the gluinoball and
glueball states.
|
[
{
"created": "Fri, 27 Aug 2004 16:12:37 GMT",
"version": "v1"
}
] |
2010-12-03
|
[
[
"Feo",
"A.",
"",
"Parma Univ."
],
[
"Merlatti",
"P.",
"",
"NORDITA"
],
[
"Sannino",
"F.",
"",
"NORDITA"
]
] |
We investigate the spectrum of the lightest states of N=1 Super Yang-Mills. We first study the spectrum using the recently extended Veneziano Yankielowicz theory containing also the glueball states besides the gluinoball ones. Using a simple Kahler term we show that within the effective Lagrangian approach one can accommodate either the possibility in which the glueballs are heavier or lighter than the gluinoball fields. We then provide an effective Lagrangian independent argument which allows, using information about ordinary QCD, to deduce that the lightest states in super Yang-Mills are the gluinoballs. This helps constraining the Kahler term of the effective Lagrangian. Using this information and the effective Lagrangian we note that there is a small mixing among the gluinoball and glueball states.
|
hep-th/9801061
|
Nikita Nekrasov
|
Andrei Losev, Nikita Nekrasov, Samson Shatashvili
|
Testing Seiberg-Witten Solution
|
crckapb.sty, 16 pp., a version of the contribution to Cargese
conference, June 1997
| null | null |
HUTP-97/A102, ITEP-TH-74/97
|
hep-th
| null |
We propose a few tests of Seiberg-Witten solutions of $\mathcal{N}=2$
supersymmetric gauge theories by the instanton calculus in twisted gauge
theories. We re-examine the low-energy effective abelian theory in the presence
of sources and present the formalism which makes duality transformations
transparent and easily fixes all the contact terms in a broad class of
theories. We also discuss ADHM integration and its relevance to the stated
problems.
|
[
{
"created": "Mon, 12 Jan 1998 00:29:06 GMT",
"version": "v1"
}
] |
2017-09-07
|
[
[
"Losev",
"Andrei",
""
],
[
"Nekrasov",
"Nikita",
""
],
[
"Shatashvili",
"Samson",
""
]
] |
We propose a few tests of Seiberg-Witten solutions of $\mathcal{N}=2$ supersymmetric gauge theories by the instanton calculus in twisted gauge theories. We re-examine the low-energy effective abelian theory in the presence of sources and present the formalism which makes duality transformations transparent and easily fixes all the contact terms in a broad class of theories. We also discuss ADHM integration and its relevance to the stated problems.
|
2010.07887
|
Uri Kol
|
Uri Kol
|
Dual Komar Mass, Torsion and Riemann-Cartan Manifolds
| null | null | null | null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The dual Komar mass generalizes the concept of the NUT parameter and is akin
to the magnetic charge in electrodynamics. In asymptotically flat spacetimes it
coincides with the dual supertranslation charge. The dual mass vanishes
identically on Riemannian manifolds in General Relativity unless conical
singularities corresponding to Misner strings are introduced. In this paper we
propose an alternative way to source the dual mass locally. We show that this
can be done by enlarging the phase space of the theory to allow for a violation
of the algebraic Bianchi identity using local fields. A minimal extension of
Einstein's gravity that meets this requirement is known as the Einstein-Cartan
theory. Our main result is that on Riemann-Cartan manifolds the dual Komar mass
does not vanish and is given by a volume integral over a local 1-form
gravitational-magnetic current that is a function of the torsion.
|
[
{
"created": "Thu, 15 Oct 2020 17:08:00 GMT",
"version": "v1"
}
] |
2020-10-16
|
[
[
"Kol",
"Uri",
""
]
] |
The dual Komar mass generalizes the concept of the NUT parameter and is akin to the magnetic charge in electrodynamics. In asymptotically flat spacetimes it coincides with the dual supertranslation charge. The dual mass vanishes identically on Riemannian manifolds in General Relativity unless conical singularities corresponding to Misner strings are introduced. In this paper we propose an alternative way to source the dual mass locally. We show that this can be done by enlarging the phase space of the theory to allow for a violation of the algebraic Bianchi identity using local fields. A minimal extension of Einstein's gravity that meets this requirement is known as the Einstein-Cartan theory. Our main result is that on Riemann-Cartan manifolds the dual Komar mass does not vanish and is given by a volume integral over a local 1-form gravitational-magnetic current that is a function of the torsion.
|
hep-th/0304259
|
Ian T. Ellwood
|
Ian Ellwood (MIT), Jessie Shelton (MIT), Washington Taylor (MIT)
|
Tadpoles and Closed String Backgrounds in Open String Field Theory
|
51 pages, 11 eps figures, Latex; v2: References added
|
JHEP 0307:059,2003
|
10.1088/1126-6708/2003/07/059
|
MIT-CTP-3368
|
hep-th
| null |
We investigate the quantum structure of Witten's cubic open bosonic string
field theory by computing the one-loop contribution to the open string tadpole
using both oscillator and conformal field theory methods. We find divergences
and a breakdown of BRST invariance in the tadpole diagram arising from
tachyonic and massless closed string states, and we discuss ways of treating
these problems. For a Dp-brane with sufficiently many transverse dimensions,
the tadpole can be rendered finite by analytically continuing the closed string
tachyon by hand; this diagram then naturally incorporates the (linearized)
shift of the closed string background due to the presence of the brane. We
observe that divergences at higher loops will doom any straightforward attempt
at analyzing general quantum effects in bosonic open string field theory on a
Dp-brane of any dimension, but our analysis does not uncover any potential
obstacles to the existence of a sensible quantum open string field theory in
the supersymmetric case.
|
[
{
"created": "Wed, 30 Apr 2003 04:43:32 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jun 2003 21:47:45 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Ellwood",
"Ian",
"",
"MIT"
],
[
"Shelton",
"Jessie",
"",
"MIT"
],
[
"Taylor",
"Washington",
"",
"MIT"
]
] |
We investigate the quantum structure of Witten's cubic open bosonic string field theory by computing the one-loop contribution to the open string tadpole using both oscillator and conformal field theory methods. We find divergences and a breakdown of BRST invariance in the tadpole diagram arising from tachyonic and massless closed string states, and we discuss ways of treating these problems. For a Dp-brane with sufficiently many transverse dimensions, the tadpole can be rendered finite by analytically continuing the closed string tachyon by hand; this diagram then naturally incorporates the (linearized) shift of the closed string background due to the presence of the brane. We observe that divergences at higher loops will doom any straightforward attempt at analyzing general quantum effects in bosonic open string field theory on a Dp-brane of any dimension, but our analysis does not uncover any potential obstacles to the existence of a sensible quantum open string field theory in the supersymmetric case.
|
hep-th/0405265
|
Jianxin Lu
|
Yi-Fei Chen and J. X. Lu
|
Dynamical brane creation and annihilation via a background flux
|
10 pages, discussion revised and some conclusion changed but the main
results unchanged, 1 figure added
| null | null |
USTC-ICTS-04-13
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the dynamical Myers effect by allowing the fuzzy (or the dynamical
dielectric brane) coordinates to be time dependent. We find three novel kinds
of the dynamical spherical dielectric branes depending on their respective
excess energies. The first represents a dynamical spherical brane carrying a
negative excess energy (having a lower bound) with its radius oscillating
periodically between two given non-zero values. The second is the one with zero
excess energy and whose time dependence can be expressed in terms of a simple
function. This particular dynamical spherical configuration represents the
dielectric brane creation and/or annihilation like a photon in the presence of
a background creating an electron-position pair and then annihilating back to a
photon. The third is the one carrying positive excess energy and the radius can
also oscillate periodically between two non-zero values but, unlike the first
kind, it passes zero twice for each cycle. Each of the above can also be
interpreted as the time evolution of a semi-spherical D-brane--anti
semi-spherical D-brane system.
|
[
{
"created": "Fri, 28 May 2004 14:29:43 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Oct 2016 03:00:34 GMT",
"version": "v2"
}
] |
2016-10-05
|
[
[
"Chen",
"Yi-Fei",
""
],
[
"Lu",
"J. X.",
""
]
] |
We study the dynamical Myers effect by allowing the fuzzy (or the dynamical dielectric brane) coordinates to be time dependent. We find three novel kinds of the dynamical spherical dielectric branes depending on their respective excess energies. The first represents a dynamical spherical brane carrying a negative excess energy (having a lower bound) with its radius oscillating periodically between two given non-zero values. The second is the one with zero excess energy and whose time dependence can be expressed in terms of a simple function. This particular dynamical spherical configuration represents the dielectric brane creation and/or annihilation like a photon in the presence of a background creating an electron-position pair and then annihilating back to a photon. The third is the one carrying positive excess energy and the radius can also oscillate periodically between two non-zero values but, unlike the first kind, it passes zero twice for each cycle. Each of the above can also be interpreted as the time evolution of a semi-spherical D-brane--anti semi-spherical D-brane system.
|
hep-th/0603107
|
Matthew Johnson
|
A. Aguirre, T. Banks, M. Johnson
|
Regulating Eternal Inflation II: The Great Divide
|
JHEP3, 19 Pages, 7 Figures
|
JHEP0608:065,2006
|
10.1088/1126-6708/2006/08/065
| null |
hep-th gr-qc
| null |
In a previous paper, two of the authors presented a "regulated" picture of
eternal inflation. This picture both suggested and drew support from a
conjectured discontinuity in the amplitude for tunneling from positive to
negative vacuum energy, as the positive vacuum energy was sent to zero;
analytic and numerical arguments supporting this conjecture were given. Here we
show that this conjecture is false, but in an interesting way. There are no
cases where tunneling amplitudes are discontinuous at vanishing cosmological
constant; rather, the space of potentials separates into two regions. In one
region decay is strongly suppressed, and the proposed picture of eternal
inflation remains viable; sending the (false) vacuum energy to zero in this
region results in an absolutely stable asymptotically flat space. In the other
region, we argue that the space-time at vanishing cosmological constant is
unstable, but not asymptotically Minkowski. The consequences of our results for
theories of supersymmetry breaking are unchanged.
|
[
{
"created": "Tue, 14 Mar 2006 04:19:49 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Aguirre",
"A.",
""
],
[
"Banks",
"T.",
""
],
[
"Johnson",
"M.",
""
]
] |
In a previous paper, two of the authors presented a "regulated" picture of eternal inflation. This picture both suggested and drew support from a conjectured discontinuity in the amplitude for tunneling from positive to negative vacuum energy, as the positive vacuum energy was sent to zero; analytic and numerical arguments supporting this conjecture were given. Here we show that this conjecture is false, but in an interesting way. There are no cases where tunneling amplitudes are discontinuous at vanishing cosmological constant; rather, the space of potentials separates into two regions. In one region decay is strongly suppressed, and the proposed picture of eternal inflation remains viable; sending the (false) vacuum energy to zero in this region results in an absolutely stable asymptotically flat space. In the other region, we argue that the space-time at vanishing cosmological constant is unstable, but not asymptotically Minkowski. The consequences of our results for theories of supersymmetry breaking are unchanged.
|
0806.1651
|
Fernando T. C. Brandt
|
F. T. Brandt and J. Frenkel
|
Instabilities in Thermal Gravity with a Cosmological Constant
|
3 pages. To be published in Physics Letters B
|
Phys.Lett.B665:264-266,2008
|
10.1016/j.physletb.2008.06.009
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that in quantum gravity at finite temperature, the effective
potential evaluated in the tadpole approximation can have a local minimum below
a certain critical temperature. However, when the leading higher order thermal
loop corrections are included, one finds that no static solution exists at high
temperature.
|
[
{
"created": "Tue, 10 Jun 2008 13:08:40 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Brandt",
"F. T.",
""
],
[
"Frenkel",
"J.",
""
]
] |
It is shown that in quantum gravity at finite temperature, the effective potential evaluated in the tadpole approximation can have a local minimum below a certain critical temperature. However, when the leading higher order thermal loop corrections are included, one finds that no static solution exists at high temperature.
|
1503.08347
|
Leandro Nascimento
|
Leandro O. Nascimento, Van S\'ergio Alves, Francisco Pe\~na, C. Morais
Smith, and E. C. Marino
|
Chiral-Symmetry Breaking in Pseudo Quantum Electrodynamics at Finite
Temperature
|
10 pages and 4 figures
| null |
10.1103/PhysRevD.92.025018
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the Schwinger-Dyson equations in the presence of a thermal bath, in
order to study chiral symmetry breaking in a system of massless Dirac fermions
interacting through pseudo quantum electrodynamics (PQED3), in (2+1)
dimensions. We show that there is a critical temperature $T_c$, below which
chiral symmetry is broken, and a corresponding mass gap is dynamically
generated, provided the coupling is above a certain, temperature dependent,
critical value $\alpha_c$. The ratio between the energy gap and the critical
temperature for this model is estimated to be $2 \pi$. These results are
confirmed by analytical and numerical investigations of the Schwinger-Dyson
equation for the electron. In addition, we calculate the first
finite-temperature corrections to the static Coulomb interaction. The relevance
of this result in the realm of condensed matter systems, like graphene, is
briefly discussed.
|
[
{
"created": "Sat, 28 Mar 2015 20:58:47 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Nov 2015 21:20:26 GMT",
"version": "v2"
}
] |
2015-11-06
|
[
[
"Nascimento",
"Leandro O.",
""
],
[
"Alves",
"Van Sérgio",
""
],
[
"Peña",
"Francisco",
""
],
[
"Smith",
"C. Morais",
""
],
[
"Marino",
"E. C.",
""
]
] |
We use the Schwinger-Dyson equations in the presence of a thermal bath, in order to study chiral symmetry breaking in a system of massless Dirac fermions interacting through pseudo quantum electrodynamics (PQED3), in (2+1) dimensions. We show that there is a critical temperature $T_c$, below which chiral symmetry is broken, and a corresponding mass gap is dynamically generated, provided the coupling is above a certain, temperature dependent, critical value $\alpha_c$. The ratio between the energy gap and the critical temperature for this model is estimated to be $2 \pi$. These results are confirmed by analytical and numerical investigations of the Schwinger-Dyson equation for the electron. In addition, we calculate the first finite-temperature corrections to the static Coulomb interaction. The relevance of this result in the realm of condensed matter systems, like graphene, is briefly discussed.
|
1905.03033
|
Mudassar Sabir
|
Mudassar Sabir, Waqas Ahmed, Yungui Gong, Shan Hu, Tianjun Li, Lina Wu
|
A note on supergravity inflation in braneworld
|
11 pages, 4 figures
|
Int. J. Mod. Phys. A 36 (2021) 2150056
|
10.1142/S0217751X21500561
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss supergravity inflation in braneworld cosmology for the class of
potentials $V(\phi)=\alpha \phi^n\rm{exp}(-\beta^m \phi^m)$ with $m=1,~2$.
These minimal SUGRA models evade the $\eta$ problem due to a broken shift
symmetry and can easily accommodate the observational constraints. In the high
energy regime $V/\lambda\gg 1$, the numerical predictions and approximate
analytic formulas are given for the scalar spectral index $n_s$ and
tensor-to-scalar ratio $r$. The models with smaller $n$ are preferred while the
models with larger $n$ are out of the $2\sigma$ region. Remarkably, the
$\rho^2/\lambda$ correction to the energy density in Friedmann equation results
in sub-Planckian inflaton excursions $\Delta\phi <1$.
|
[
{
"created": "Fri, 3 May 2019 13:25:36 GMT",
"version": "v1"
},
{
"created": "Thu, 28 May 2020 03:01:12 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Aug 2023 04:07:32 GMT",
"version": "v3"
}
] |
2023-08-11
|
[
[
"Sabir",
"Mudassar",
""
],
[
"Ahmed",
"Waqas",
""
],
[
"Gong",
"Yungui",
""
],
[
"Hu",
"Shan",
""
],
[
"Li",
"Tianjun",
""
],
[
"Wu",
"Lina",
""
]
] |
We discuss supergravity inflation in braneworld cosmology for the class of potentials $V(\phi)=\alpha \phi^n\rm{exp}(-\beta^m \phi^m)$ with $m=1,~2$. These minimal SUGRA models evade the $\eta$ problem due to a broken shift symmetry and can easily accommodate the observational constraints. In the high energy regime $V/\lambda\gg 1$, the numerical predictions and approximate analytic formulas are given for the scalar spectral index $n_s$ and tensor-to-scalar ratio $r$. The models with smaller $n$ are preferred while the models with larger $n$ are out of the $2\sigma$ region. Remarkably, the $\rho^2/\lambda$ correction to the energy density in Friedmann equation results in sub-Planckian inflaton excursions $\Delta\phi <1$.
|
hep-th/9808078
|
Garnik G. Alexanian
|
G.Alexanian, E.F.Moreno
|
Renormalization of the Hamiltonian and a geometric interpretation of
asymptotic freedom
|
22 pages, LaTeX, no figures; final version accepted in Phys.Rev.D;
added reference and appendix with comment on solution of eq. (9) in the text
|
Phys.Rev. D60 (1999) 105028
|
10.1103/PhysRevD.60.105028
|
CCNY-HEP 98/4
|
hep-th
| null |
Using a novel approach to renormalization in the Hamiltonian formalism, we
study the connection between asymptotic freedom and the renormalization group
flow of the configuration space metric. It is argued that in asymptotically
free theories the effective distance between configuration decreases as high
momentum modes are integrated out.
|
[
{
"created": "Thu, 13 Aug 1998 17:42:28 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Aug 1998 16:16:31 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Oct 1999 15:31:27 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Alexanian",
"G.",
""
],
[
"Moreno",
"E. F.",
""
]
] |
Using a novel approach to renormalization in the Hamiltonian formalism, we study the connection between asymptotic freedom and the renormalization group flow of the configuration space metric. It is argued that in asymptotically free theories the effective distance between configuration decreases as high momentum modes are integrated out.
|
2310.16744
|
Joren Brunekreef
|
Joren Brunekreef, Andrzej G\"orlich, Renate Loll
|
Simulating CDT quantum gravity
| null | null | null | null |
hep-th gr-qc hep-lat
|
http://creativecommons.org/licenses/by/4.0/
|
We provide a hands-on introduction to Monte Carlo simulations in
nonperturbative lattice quantum gravity, formulated in terms of Causal
Dynamical Triangulations (CDT). We describe explicitly the implementation of
Monte Carlo moves and the associated detailed-balance equations in two and
three spacetime dimensions. We discuss how to optimize data storage and
retrieval, which are nontrivial due to the dynamical nature of the lattices,
and how to reconstruct the full geometry from selected stored data. Various
aspects of the simulation, including tuning, thermalization and the measurement
of observables are also treated. An associated open-source C++ implementation
code is freely available online.
|
[
{
"created": "Wed, 25 Oct 2023 16:18:40 GMT",
"version": "v1"
}
] |
2023-10-26
|
[
[
"Brunekreef",
"Joren",
""
],
[
"Görlich",
"Andrzej",
""
],
[
"Loll",
"Renate",
""
]
] |
We provide a hands-on introduction to Monte Carlo simulations in nonperturbative lattice quantum gravity, formulated in terms of Causal Dynamical Triangulations (CDT). We describe explicitly the implementation of Monte Carlo moves and the associated detailed-balance equations in two and three spacetime dimensions. We discuss how to optimize data storage and retrieval, which are nontrivial due to the dynamical nature of the lattices, and how to reconstruct the full geometry from selected stored data. Various aspects of the simulation, including tuning, thermalization and the measurement of observables are also treated. An associated open-source C++ implementation code is freely available online.
|
1705.03273
|
Masatoshi Yamada
|
Ken-Ichi Aoki, Shin-Ichiro Kumamoto, Masatoshi Yamada
|
Phase structure of NJL model with weak renormalization group
|
32 pages, 12 figures; Version published in Nuclear Physics B
|
Nuclear Physics B 931 (2018) 105
|
10.1016/j.nuclphysb.2018.04.005
|
KANAZAWA-17-04
|
hep-th cond-mat.stat-mech hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the chiral phase structure of the Nambu--Jona-Lasinio model at
finite temperature and density by using the functional renormalization group
(FRG). The renormalization group (RG) equation for the fermionic effective
potential $V(\sigma;t)$ is given as a partial differential equation, where
$\sigma:=\bar \psi\psi$ and $t$ is a dimensionless RG scale. When the dynamical
chiral symmetry breaking (D$\chi$SB) occurs at a certain scale $t_c$,
$V(\sigma;t)$ has singularities originated from the phase transitions, and then
one cannot follow RG flows after $t_c$. In this study, we introduce the weak
solution method to the RG equation in order to follow the RG flows after the
D$\chi$SB and to evaluate the dynamical mass and the chiral condensate in low
energy scales. It is shown that the weak solution of the RG equation correctly
captures vacuum structures and critical phenomena within the pure fermionic
system. We show the chiral phase diagram on temperature, chemical potential and
the four-Fermi coupling constant.
|
[
{
"created": "Tue, 9 May 2017 10:55:32 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Apr 2018 12:25:50 GMT",
"version": "v2"
}
] |
2018-04-17
|
[
[
"Aoki",
"Ken-Ichi",
""
],
[
"Kumamoto",
"Shin-Ichiro",
""
],
[
"Yamada",
"Masatoshi",
""
]
] |
We analyze the chiral phase structure of the Nambu--Jona-Lasinio model at finite temperature and density by using the functional renormalization group (FRG). The renormalization group (RG) equation for the fermionic effective potential $V(\sigma;t)$ is given as a partial differential equation, where $\sigma:=\bar \psi\psi$ and $t$ is a dimensionless RG scale. When the dynamical chiral symmetry breaking (D$\chi$SB) occurs at a certain scale $t_c$, $V(\sigma;t)$ has singularities originated from the phase transitions, and then one cannot follow RG flows after $t_c$. In this study, we introduce the weak solution method to the RG equation in order to follow the RG flows after the D$\chi$SB and to evaluate the dynamical mass and the chiral condensate in low energy scales. It is shown that the weak solution of the RG equation correctly captures vacuum structures and critical phenomena within the pure fermionic system. We show the chiral phase diagram on temperature, chemical potential and the four-Fermi coupling constant.
|
hep-th/9312142
|
Hideaki Hiro-Oka
|
Hideaki Hiro-Oka and Satoru Saito
|
Quantum Hall effect from soliton equation
|
Latex 11pages(LaTeX) TMUP-HEL-9311
| null | null | null |
hep-th
| null |
The Laughlin function of quantum Hall effect is shown to satisfy Hirota's
bilinear difference equation with certain coefficients a little different from
the KP hierarchy. Vertex operators which constitute blocks of solutions
generate a B\"acklund transformation. Besides the Laughlin function, the
equation admits soliton solutions.
|
[
{
"created": "Thu, 16 Dec 1993 08:18:26 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Hiro-Oka",
"Hideaki",
""
],
[
"Saito",
"Satoru",
""
]
] |
The Laughlin function of quantum Hall effect is shown to satisfy Hirota's bilinear difference equation with certain coefficients a little different from the KP hierarchy. Vertex operators which constitute blocks of solutions generate a B\"acklund transformation. Besides the Laughlin function, the equation admits soliton solutions.
|
1507.03654
|
William Kelly
|
William R. Kelly, Kevin Kuns, Donald Marolf
|
't Hooft suppression and holographic entropy
|
24 pages, no figures. v2: minor changes to agree with published
version
|
JHEP10(2015)059
|
10.1007/JHEP10(2015)059
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recent works have related the bulk first law of black hole mechanics to the
first law of entanglement in a dual CFT. These are first order relations, and
receive corrections for finite changes. In particular, the latter is naively
expected to be accurate only for small changes in the quantum state. But when
Newton's constant is small relative to the AdS scale, the former holds to good
approximation even for classical perturbations that contain many quanta. This
suggests that -- for appropriate states -- corrections to the first law of
entanglement are suppressed by powers of $N$ in CFTs whose correlators satisfy
't Hooft large-$N$ power counting. We take first steps toward verifying that
this is so by studying the large-$N$ structure of the entropy of spatial
regions for a class of CFT states motivated by those created from the vacuum by
acting with real-time single-trace sources. We show that $1/N$ counting matches
bulk predictions, though we require the effect of the source on the modular
hamiltonian to be non-singular. The magnitude of our sources is $\epsilon N$
with $\epsilon$ fixed-but-small as $N\rightarrow \infty$. Our results also
provide a perturbative derivation -- without relying on the replica trick -- of
the subleading Faulkner-Lewkowycz-Maldacena correction to the Ryu-Takayagi and
Hubeny-Rangamani-Takayanagi conjectures at all orders in $1/N$.
|
[
{
"created": "Mon, 13 Jul 2015 23:30:06 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Sep 2015 22:31:01 GMT",
"version": "v2"
}
] |
2015-10-14
|
[
[
"Kelly",
"William R.",
""
],
[
"Kuns",
"Kevin",
""
],
[
"Marolf",
"Donald",
""
]
] |
Recent works have related the bulk first law of black hole mechanics to the first law of entanglement in a dual CFT. These are first order relations, and receive corrections for finite changes. In particular, the latter is naively expected to be accurate only for small changes in the quantum state. But when Newton's constant is small relative to the AdS scale, the former holds to good approximation even for classical perturbations that contain many quanta. This suggests that -- for appropriate states -- corrections to the first law of entanglement are suppressed by powers of $N$ in CFTs whose correlators satisfy 't Hooft large-$N$ power counting. We take first steps toward verifying that this is so by studying the large-$N$ structure of the entropy of spatial regions for a class of CFT states motivated by those created from the vacuum by acting with real-time single-trace sources. We show that $1/N$ counting matches bulk predictions, though we require the effect of the source on the modular hamiltonian to be non-singular. The magnitude of our sources is $\epsilon N$ with $\epsilon$ fixed-but-small as $N\rightarrow \infty$. Our results also provide a perturbative derivation -- without relying on the replica trick -- of the subleading Faulkner-Lewkowycz-Maldacena correction to the Ryu-Takayagi and Hubeny-Rangamani-Takayanagi conjectures at all orders in $1/N$.
|
0805.2601
|
Javier Mas
|
Javier Mas, Jonathan P. Shock, Javier Tarrio and Dimitrios Zoakos
|
Holographic Spectral Functions at Finite Baryon Density
|
37 pages, 12 figures, v2: refs. added, typos corrected
|
JHEP 0809:009,2008
|
10.1088/1126-6708/2008/09/009
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the AdS/CFT correspondence, we compute the spectral functions of
thermal super Yang Mills at large N_c coupled to a small number of flavours of
fundamental matter, N_f<<N_c, in the presence of a nonzero baryon density. The
holographic dual of such a theory involves the addition of probe D7-branes with
a background worldvolume gauge field switched on, embedded in the geometry of a
stack of black D3-branes. We perform the analysis in the vector and scalar
channels which become coupled for nonzero values of the spatial momentum and
baryon density. In addition, we obtain the effect of the presence of net baryon
charge on the photon production. We also extract the conductivity and find
perfect agreement with the results derived by Karch and O'Bannon in a
macroscopic setup.
|
[
{
"created": "Fri, 16 May 2008 18:51:16 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Nov 2008 17:55:14 GMT",
"version": "v2"
}
] |
2009-12-07
|
[
[
"Mas",
"Javier",
""
],
[
"Shock",
"Jonathan P.",
""
],
[
"Tarrio",
"Javier",
""
],
[
"Zoakos",
"Dimitrios",
""
]
] |
Using the AdS/CFT correspondence, we compute the spectral functions of thermal super Yang Mills at large N_c coupled to a small number of flavours of fundamental matter, N_f<<N_c, in the presence of a nonzero baryon density. The holographic dual of such a theory involves the addition of probe D7-branes with a background worldvolume gauge field switched on, embedded in the geometry of a stack of black D3-branes. We perform the analysis in the vector and scalar channels which become coupled for nonzero values of the spatial momentum and baryon density. In addition, we obtain the effect of the presence of net baryon charge on the photon production. We also extract the conductivity and find perfect agreement with the results derived by Karch and O'Bannon in a macroscopic setup.
|
1711.03337
|
Omar Foda
|
Omar Foda
|
Off-critical local height probabilities on a plane and critical
partition functions on a cylinder
|
28 pages
|
Nuclear Physics B, volume 928, March 2018, pages 279--326
|
10.1016/j.nuclphysb.2018.01.011
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute off-critical local height probabilities in regime-III restricted
solid-on-solid models in a $4 N$-quadrant spiral geometry, with periodic
boundary conditions in the angular direction, and fixed boundary conditions in
the radial direction, as a function of $N$, the winding number of the spiral,
and $\tau$, the departure from criticality of the model, and observe that the
result depends only on the product $N \, \tau$. In the limit $N \rightarrow 1$,
$\tau \rightarrow \tau_0$, such that $\tau_0$ is finite, we recover the
off-critical local height probability on a plane, $\tau_0$-away from
criticality. In the limit $N \rightarrow \infty$, $\tau \rightarrow 0$, such
that $N \, \tau = \tau_0$ is finite, and following a conformal transformation,
we obtain a critical partition function on a cylinder of aspect-ratio $\tau_0$.
We conclude that the off-critical local height probability on a plane,
$\tau_0$-away from criticality, is equal to a critical partition function on a
cylinder of aspect-ratio $\tau_0$, in agreement with a result of Saleur and
Bauer.
|
[
{
"created": "Thu, 9 Nov 2017 11:48:13 GMT",
"version": "v1"
}
] |
2018-03-08
|
[
[
"Foda",
"Omar",
""
]
] |
We compute off-critical local height probabilities in regime-III restricted solid-on-solid models in a $4 N$-quadrant spiral geometry, with periodic boundary conditions in the angular direction, and fixed boundary conditions in the radial direction, as a function of $N$, the winding number of the spiral, and $\tau$, the departure from criticality of the model, and observe that the result depends only on the product $N \, \tau$. In the limit $N \rightarrow 1$, $\tau \rightarrow \tau_0$, such that $\tau_0$ is finite, we recover the off-critical local height probability on a plane, $\tau_0$-away from criticality. In the limit $N \rightarrow \infty$, $\tau \rightarrow 0$, such that $N \, \tau = \tau_0$ is finite, and following a conformal transformation, we obtain a critical partition function on a cylinder of aspect-ratio $\tau_0$. We conclude that the off-critical local height probability on a plane, $\tau_0$-away from criticality, is equal to a critical partition function on a cylinder of aspect-ratio $\tau_0$, in agreement with a result of Saleur and Bauer.
|
1912.02694
|
Jialun Ping
|
Jing Zhou
|
Three Dimensional Gravity and Schramm-Loewner Evolution
|
4 pages, 1 figure
|
Can. J. Phys. 101 (2023) 532
|
10.1139/cjp-2022-0305
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The partition function of three dimensional gravity in the quantum regime is
dual to the Ising model when the central charge $c=1/2$. Mathematically, we
show that the three dimensional gravity can be described by Schramm-Loewner
Evolution(SLE) with certain $\kappa$. In fact, SLE depends on the parameter
$\kappa$ which controls the diffusion of the Brownian motion. Each value of $c
< 1$ corresponds to two values of $\kappa$, which may hint that the three
dimensional gravity has two different phases at certain central charge c.
Moreover, phase transition is also discussed in AdS and Ising model.
|
[
{
"created": "Wed, 4 Dec 2019 07:25:32 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Oct 2021 14:08:18 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Aug 2024 02:55:08 GMT",
"version": "v3"
},
{
"created": "Wed, 7 Aug 2024 13:55:59 GMT",
"version": "v4"
}
] |
2024-08-08
|
[
[
"Zhou",
"Jing",
""
]
] |
The partition function of three dimensional gravity in the quantum regime is dual to the Ising model when the central charge $c=1/2$. Mathematically, we show that the three dimensional gravity can be described by Schramm-Loewner Evolution(SLE) with certain $\kappa$. In fact, SLE depends on the parameter $\kappa$ which controls the diffusion of the Brownian motion. Each value of $c < 1$ corresponds to two values of $\kappa$, which may hint that the three dimensional gravity has two different phases at certain central charge c. Moreover, phase transition is also discussed in AdS and Ising model.
|
0808.2808
|
Junji Jia
|
Junji Jia
|
New spherically symmetric solutions in Einstein-Yang-Mills-Higgs model
|
19 pages, 7 figures, revtex4
|
Canadian Journal of Physics 88 (2010) 189-200
|
10.1139/P10-013
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study classical solutions in the SU(2) Einstein-Yang-Mills-Higgs theory.
The spherically symmetric ans\"atze for all fields are given and the equations
of motion are derived as a system of ordinary differential equations. The
asymptotics and the boundary conditions at space origin for regular solutions
and at event horizon for black hole solutions are studied. Using the shooting
method, we found numerical solutions to the theory. For regular solutions, we
find two new sets of asymptotically flat solutions. Each of these sets contains
continua of solutions in the parameter space spanned by the shooting
parameters. The solutions bifurcate along these parameter curves and the
bifurcation are argued to be due to the internal structure of the model. Both
sets of the solutions are asymptotically flat but one is exponentially so and
the other is so with oscillations. For black holes, a new set of boundary
conditions is studied and it is found that there also exists a continuum of
black hole solutions in parameter space and similar bifurcation behavior is
also present to these solutions. The SU(2) charges of these solutions are found
zero and these solutions are proven to be unstable.
|
[
{
"created": "Wed, 20 Aug 2008 20:28:31 GMT",
"version": "v1"
},
{
"created": "Sat, 27 Mar 2010 04:19:56 GMT",
"version": "v2"
}
] |
2022-09-28
|
[
[
"Jia",
"Junji",
""
]
] |
We study classical solutions in the SU(2) Einstein-Yang-Mills-Higgs theory. The spherically symmetric ans\"atze for all fields are given and the equations of motion are derived as a system of ordinary differential equations. The asymptotics and the boundary conditions at space origin for regular solutions and at event horizon for black hole solutions are studied. Using the shooting method, we found numerical solutions to the theory. For regular solutions, we find two new sets of asymptotically flat solutions. Each of these sets contains continua of solutions in the parameter space spanned by the shooting parameters. The solutions bifurcate along these parameter curves and the bifurcation are argued to be due to the internal structure of the model. Both sets of the solutions are asymptotically flat but one is exponentially so and the other is so with oscillations. For black holes, a new set of boundary conditions is studied and it is found that there also exists a continuum of black hole solutions in parameter space and similar bifurcation behavior is also present to these solutions. The SU(2) charges of these solutions are found zero and these solutions are proven to be unstable.
|
1401.3595
|
Nakwoo Kim
|
Dongmin Gang, Nakwoo Kim and Sangmin Lee
|
Holography of Wrapped M5-branes and Chern-Simons theory
|
5 pages, 2 figures. Some clarifications, references added, misprint
corrected
| null |
10.1016/j.physletb.2014.04.051
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study three-dimensional superconformal field theories on wrapped
M5-branes. Applying the gauge/gravity duality and the recently proposed 3d-3d
relation, we deduce quantitative predictions for the perturbative free energy
of a Chern-Simons theory on hyperbolic 3-space. Remarkably, the perturbative
expansion is expected to terminate at two-loops in the large N limit. We check
the correspondence numerically in a number of examples, and confirm the N^3
scaling with precise coefficients.
|
[
{
"created": "Wed, 15 Jan 2014 14:07:22 GMT",
"version": "v1"
},
{
"created": "Thu, 15 May 2014 05:51:56 GMT",
"version": "v2"
},
{
"created": "Sun, 30 Aug 2015 13:09:32 GMT",
"version": "v3"
}
] |
2015-09-01
|
[
[
"Gang",
"Dongmin",
""
],
[
"Kim",
"Nakwoo",
""
],
[
"Lee",
"Sangmin",
""
]
] |
We study three-dimensional superconformal field theories on wrapped M5-branes. Applying the gauge/gravity duality and the recently proposed 3d-3d relation, we deduce quantitative predictions for the perturbative free energy of a Chern-Simons theory on hyperbolic 3-space. Remarkably, the perturbative expansion is expected to terminate at two-loops in the large N limit. We check the correspondence numerically in a number of examples, and confirm the N^3 scaling with precise coefficients.
|
hep-th/0002202
|
Justin David
|
Justin R. David
|
Infra-red dynamics of D1-branes at the conifold
|
20 pages, latex, some clarifications added, version to appear in JHEP
|
JHEP 0005 (2000) 019
|
10.1088/1126-6708/2000/05/019
| null |
hep-th
| null |
We study the infra-red dynamics of D1-branes at the conifold. We show using
methods developed to study the infra-red dynamics of (4,4) theories, the
infra-red degrees of freedom of the (2,2) theory of a single D1-brane at the
conifold is that of a linear dilaton with background charge of $\sqrt{2}$ and a
compact scalar. The gauge theory of $N$ D1-branes at the conifold is used to
formulate the matrix string in the conifold background.
|
[
{
"created": "Thu, 24 Feb 2000 03:08:54 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Apr 2000 03:27:07 GMT",
"version": "v2"
},
{
"created": "Tue, 9 May 2000 21:41:04 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"David",
"Justin R.",
""
]
] |
We study the infra-red dynamics of D1-branes at the conifold. We show using methods developed to study the infra-red dynamics of (4,4) theories, the infra-red degrees of freedom of the (2,2) theory of a single D1-brane at the conifold is that of a linear dilaton with background charge of $\sqrt{2}$ and a compact scalar. The gauge theory of $N$ D1-branes at the conifold is used to formulate the matrix string in the conifold background.
|
hep-th/9609077
|
Yoshihisa Kitazawa
|
Toshiaki Aida and Yoshihisa Kitazawa
|
Two-loop Prediction for Scaling Exponents in (2 + \epsilon)-dimensional
Quantum Gravity
|
36 pages, Latex file, 6 figures
|
Nucl.Phys. B491 (1997) 427-460
|
10.1016/S0550-3213(97)00091-6
|
TIT-HEP-343
|
hep-th
| null |
We perform the two loop level renormalization of quantum gravity in
$2+\epsilon$ dimensions. We work in the background gauge whose manifest
covariance enables us to use the short distance expansion of the Green's
functions. We explicitly show that the theory is renormalizable to the two loop
level in our formalism. We further make a physical prediction for the scaling
relation between the gravitational coupling constant and the cosmological
constant which is expected to hold at the short distance fixed point of the
renormalization group. It is found that the two loop level calculation is
necessary to determine the scaling exponent to the leading order in $\epsilon$.
|
[
{
"created": "Tue, 10 Sep 1996 08:33:22 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Aida",
"Toshiaki",
""
],
[
"Kitazawa",
"Yoshihisa",
""
]
] |
We perform the two loop level renormalization of quantum gravity in $2+\epsilon$ dimensions. We work in the background gauge whose manifest covariance enables us to use the short distance expansion of the Green's functions. We explicitly show that the theory is renormalizable to the two loop level in our formalism. We further make a physical prediction for the scaling relation between the gravitational coupling constant and the cosmological constant which is expected to hold at the short distance fixed point of the renormalization group. It is found that the two loop level calculation is necessary to determine the scaling exponent to the leading order in $\epsilon$.
|
hep-th/9610123
|
Carlos Naon
|
M.V. Manias, C.M. Naon and M.L. Trobo
|
Factored coset approach to bosonization in the context of topological
backgrounds and massive fermions
|
10 pages, latex, no figures, To appear in Mod.Phys.Lett.A
|
Mod.Phys.Lett. A12 (1997) 1283-1289
|
10.1142/S0217732397001291
|
La Plata 96-03
|
hep-th
| null |
We consider a recently proposed approach to bosonization in which the
original fermionic partition function is expressed as a product of a
$G/G$-coset model and a bosonic piece that contains the dynamics. In particular
we show how the method works when topological backgrounds are taken into
account. We also discuss the application of this technique to the case of
massive fermions.
|
[
{
"created": "Wed, 16 Oct 1996 19:33:00 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Manias",
"M. V.",
""
],
[
"Naon",
"C. M.",
""
],
[
"Trobo",
"M. L.",
""
]
] |
We consider a recently proposed approach to bosonization in which the original fermionic partition function is expressed as a product of a $G/G$-coset model and a bosonic piece that contains the dynamics. In particular we show how the method works when topological backgrounds are taken into account. We also discuss the application of this technique to the case of massive fermions.
|
hep-th/0503143
|
Joseph A. Minahan
|
Joseph A. Minahan
|
The SU(2) sector in AdS/CFT
|
17 Pages, no figures, to appear in the proceedings of the RTN
workshop, Kolymbari, Crete, September 2004; v2 refs added, footnote changed
|
Fortsch.Phys. 53 (2005) 828-838
|
10.1002/prop.200410204
|
UUITP-04-05, CTP-MIT-3610
|
hep-th
| null |
In the large N limit of N=4 Super Yang-Mills, the mixing under dilatations of
the SU(2) sector, single trace operators composed of L complex scalar fields of
two types, is closed to all orders in perturbation theory. By relying on the
AdS/CFT correspondence, and by examining the currents for semiclassical
strings, we present evidence which implies that there are small mixings that
contradict the closure of the SU(2) sector in the strong coupling limit. These
mixings first appear to second order in the \lambda/L^2 expansion.
|
[
{
"created": "Fri, 18 Mar 2005 16:39:13 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Apr 2005 13:11:59 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Minahan",
"Joseph A.",
""
]
] |
In the large N limit of N=4 Super Yang-Mills, the mixing under dilatations of the SU(2) sector, single trace operators composed of L complex scalar fields of two types, is closed to all orders in perturbation theory. By relying on the AdS/CFT correspondence, and by examining the currents for semiclassical strings, we present evidence which implies that there are small mixings that contradict the closure of the SU(2) sector in the strong coupling limit. These mixings first appear to second order in the \lambda/L^2 expansion.
|
hep-th/9905222
|
Takuya Tsukioka
|
Noboru Kawamoto and Takuya Tsukioka
|
N=2 Supersymmetric Model with Dirac-Kahler Fermions from Generalized
Gauge Theory in Two Dimensions
|
22 pages, LaTeX
|
Phys.Rev. D61 (2000) 105009
|
10.1103/PhysRevD.61.105009
|
HPHOU-99-008
|
hep-th
| null |
We investigate the generalized gauge theory which has been proposed
previously and show that in two dimensions the instanton gauge fixing of the
generalized topological Yang-Mills action leads to a twisted N=2 supersymmetric
action. We have found that the R-symmetry of N=2 supersymmetry can be
identified with the flavour symmetry of Dirac-Kahler fermion formulation. Thus
the procedure of twist allows topological ghost fields to be interpreted as the
Dirac-Kahler matter fermions.
|
[
{
"created": "Mon, 31 May 1999 10:56:28 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Kawamoto",
"Noboru",
""
],
[
"Tsukioka",
"Takuya",
""
]
] |
We investigate the generalized gauge theory which has been proposed previously and show that in two dimensions the instanton gauge fixing of the generalized topological Yang-Mills action leads to a twisted N=2 supersymmetric action. We have found that the R-symmetry of N=2 supersymmetry can be identified with the flavour symmetry of Dirac-Kahler fermion formulation. Thus the procedure of twist allows topological ghost fields to be interpreted as the Dirac-Kahler matter fermions.
|
gr-qc/0011078
|
Uchida GENUrsity
|
Uchida Gen and Misao Sasaki
|
Radion on the de Sitter brane
|
10 pages with no figures, typos corrected, references added, minor
changes in the text
|
Prog.Theor.Phys.105:591-606,2001
|
10.1143/PTP.105.591
|
OU-TAP-150 UTAP-379
|
gr-qc astro-ph hep-th
| null |
The radion on the de Sitter brane is investigated at the linear perturbation
level, using the covariant curvature tensor formalism developed by Shiromizu,
Maeda and Sasaki. It is found that if there is only one de Sitter brane with
positive tension, there is no radion and thus the ordinary Einstein gravity is
recoverd on the brane other than corrections due to the massive Kaluza-Klein
modes. As a by-product of using the covariant curvature tensor formalism, it is
immediately seen that the cosmological scalar, vector and tensor type
perturbations all have the same Kaluza-Klein spectrum. On the other hand, if
there are two branes with positive and negative tensions, the gravity on each
brane takes corrections from the radion mode in addition to the Kaluza-Klein
modes and the radion is found to have a negative mass-squared proportional to
the curvature of the de Sitter brane, in contrast to the flat brane case in
which the radion mass vanishes and degenerates with the 4-dimensional graviton
modes. To relate our result with the metric perturbation approach, we derive
the second order action for the brane displacement. We find that the radion
identified in our approach indeed corresponds to the relative displacement of
the branes in the Randall-Sundrum gauge and describes the scalar curvature
perturbations of the branes in the gaussian normal coordinates around the
branes. Implications to the inflationary brane universe are briefly discussed.
|
[
{
"created": "Wed, 22 Nov 2000 12:01:07 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Dec 2000 13:51:46 GMT",
"version": "v2"
}
] |
2009-10-09
|
[
[
"Gen",
"Uchida",
""
],
[
"Sasaki",
"Misao",
""
]
] |
The radion on the de Sitter brane is investigated at the linear perturbation level, using the covariant curvature tensor formalism developed by Shiromizu, Maeda and Sasaki. It is found that if there is only one de Sitter brane with positive tension, there is no radion and thus the ordinary Einstein gravity is recoverd on the brane other than corrections due to the massive Kaluza-Klein modes. As a by-product of using the covariant curvature tensor formalism, it is immediately seen that the cosmological scalar, vector and tensor type perturbations all have the same Kaluza-Klein spectrum. On the other hand, if there are two branes with positive and negative tensions, the gravity on each brane takes corrections from the radion mode in addition to the Kaluza-Klein modes and the radion is found to have a negative mass-squared proportional to the curvature of the de Sitter brane, in contrast to the flat brane case in which the radion mass vanishes and degenerates with the 4-dimensional graviton modes. To relate our result with the metric perturbation approach, we derive the second order action for the brane displacement. We find that the radion identified in our approach indeed corresponds to the relative displacement of the branes in the Randall-Sundrum gauge and describes the scalar curvature perturbations of the branes in the gaussian normal coordinates around the branes. Implications to the inflationary brane universe are briefly discussed.
|
hep-th/9911086
|
Andrew Billyard
|
Andrew P. Billyard (1), Alan A. Coley (2), and James E. Lidsey (3)
((1) Queen's University, Kingston, Canada, (2) Dalhousie University, Halifax,
Canada, (2) Queen Mary & Westfield, London, England)
|
Qualitative Analysis of Isotropic Curvature String Cosmologies
|
Accepted to Classical and Quantum Gravity, 40 pages, 12 figures (uses
"graphicx" package for figures)
|
Class.Quant.Grav. 17 (2000) 453-484
|
10.1088/0264-9381/17/2/313
| null |
hep-th gr-qc
| null |
A complete qualitative study of the dynamics of string cosmologies is
presented for the class of isotopic curvature universes. These models are of
Bianchi types I, V and IX and reduce to the general class of
Friedmann-Robertson-Walker universes in the limit of vanishing shear isotropy.
A non-trivial two-form potential and cosmological constant terms are included
in the system. In general, the two-form potential and spatial curvature terms
are only dynamically important at intermediate stages of the evolution. In many
of the models, the cosmological constant is important asymptotically and
anisotropy becomes dynamically negligible. There also exist bouncing
cosmologies.
|
[
{
"created": "Fri, 12 Nov 1999 06:07:59 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Billyard",
"Andrew P.",
""
],
[
"Coley",
"Alan A.",
""
],
[
"Lidsey",
"James E.",
""
]
] |
A complete qualitative study of the dynamics of string cosmologies is presented for the class of isotopic curvature universes. These models are of Bianchi types I, V and IX and reduce to the general class of Friedmann-Robertson-Walker universes in the limit of vanishing shear isotropy. A non-trivial two-form potential and cosmological constant terms are included in the system. In general, the two-form potential and spatial curvature terms are only dynamically important at intermediate stages of the evolution. In many of the models, the cosmological constant is important asymptotically and anisotropy becomes dynamically negligible. There also exist bouncing cosmologies.
|
2401.00494
|
Mikhail Podoinitsyn
|
I.L. Buchbinder, S.A. Fedoruk, A.P. Isaev, M.A. Podoinitsyn
|
Generalization of the Bargmann-Wigner approach to constructing
relativistic fields
|
1+12 pages, Contribution to the Proceedings of the International
Conference on Particle Physics and Cosmology (professor V.A. Rubakov memorial
conference), October 02-07, 2023, Yerevan, Armenia
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We review the method for constructing local relativistic fields corresponding
to the Bargmann-Wigner wave functions that describe the unitary irreducible
representations of the $4D$ Poincar\'{e} group. The method is based on the use
of the generalized Wigner operator connecting the wave functions of induced
representations and local relativistic fields. Applications of this operator
for constructing massive local relativistic fields as well as massless helicity
local fields and massless local infinite spin fields are considered.
|
[
{
"created": "Sun, 31 Dec 2023 13:28:28 GMT",
"version": "v1"
}
] |
2024-01-02
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Fedoruk",
"S. A.",
""
],
[
"Isaev",
"A. P.",
""
],
[
"Podoinitsyn",
"M. A.",
""
]
] |
We review the method for constructing local relativistic fields corresponding to the Bargmann-Wigner wave functions that describe the unitary irreducible representations of the $4D$ Poincar\'{e} group. The method is based on the use of the generalized Wigner operator connecting the wave functions of induced representations and local relativistic fields. Applications of this operator for constructing massive local relativistic fields as well as massless helicity local fields and massless local infinite spin fields are considered.
|
1604.04617
|
Nathan Berkovits
|
Nathan Berkovits (ICTP-SAIFR and IFT-UNESP, Sao Paulo)
|
Untwisting the Pure Spinor Formalism to the RNS and Twistor String in a
Flat and $AdS_5\times S^5$ Background
|
30 pages. Corrected typos, added 2 footnotes, and dedicated paper to
Mario Tonin
| null |
10.1007/JHEP06(2016)127
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The pure spinor formalism for the superstring can be formulated as a twisted
N=2 worldsheet theory with fermionic generators $j_{BRST}$ and composite $b$
ghost. After untwisting the formalism to an N=1 worldsheet theory with
fermionic stress tensor $j_{BRST}+b$, the worldsheet variables combine into N=1
worldsheet superfields $X^m$ and $\Theta^\alpha$ together with a superfield
constraint relating $DX^m$ and $D\Theta^\alpha$. The constraint implies that
the worldsheet superpartner of $\theta^\alpha$ is a bosonic twistor variable,
and different solutions of the constraint give rise to the pure spinor or
extended RNS formalisms, as well as a new twistor-string formalism with
manifest N=1 worldsheet supersymmetry.
These N=1 worldsheet methods generalize in curved Ramond-Ramond backgrounds,
and a manifestly N=1 worldsheet supersymmetric action is proposed for the
superstring in an $AdS_5\times S^5$ background in terms of the twistor
superfields. This $AdS_5\times S^5$ worldsheet action is a remarkably simple
fermionic coset model with manifest $PSU(2,2|4)$ symmetry and might be useful
for computing $AdS_5\times S^5$ superstring scattering amplitudes.
|
[
{
"created": "Fri, 15 Apr 2016 19:53:41 GMT",
"version": "v1"
},
{
"created": "Wed, 4 May 2016 10:36:47 GMT",
"version": "v2"
}
] |
2016-07-20
|
[
[
"Berkovits",
"Nathan",
"",
"ICTP-SAIFR and IFT-UNESP, Sao Paulo"
]
] |
The pure spinor formalism for the superstring can be formulated as a twisted N=2 worldsheet theory with fermionic generators $j_{BRST}$ and composite $b$ ghost. After untwisting the formalism to an N=1 worldsheet theory with fermionic stress tensor $j_{BRST}+b$, the worldsheet variables combine into N=1 worldsheet superfields $X^m$ and $\Theta^\alpha$ together with a superfield constraint relating $DX^m$ and $D\Theta^\alpha$. The constraint implies that the worldsheet superpartner of $\theta^\alpha$ is a bosonic twistor variable, and different solutions of the constraint give rise to the pure spinor or extended RNS formalisms, as well as a new twistor-string formalism with manifest N=1 worldsheet supersymmetry. These N=1 worldsheet methods generalize in curved Ramond-Ramond backgrounds, and a manifestly N=1 worldsheet supersymmetric action is proposed for the superstring in an $AdS_5\times S^5$ background in terms of the twistor superfields. This $AdS_5\times S^5$ worldsheet action is a remarkably simple fermionic coset model with manifest $PSU(2,2|4)$ symmetry and might be useful for computing $AdS_5\times S^5$ superstring scattering amplitudes.
|
0912.1877
|
Manuela Kulaxizi
|
Jan de Boer, Manuela Kulaxizi, Andrei Parnachev
|
Holographic Lovelock Gravities and Black Holes
|
31 pages, 1 figure, harvmac, references added, calculation of
viscosity/entropy ratio included
|
JHEP 1006:008,2010
|
10.1007/JHEP06(2010)008
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study holographic implications of Lovelock gravities in AdS spacetimes.
For a generic Lovelock gravity in arbitrary spacetime dimensions we formulate
the existence condition for asymptotically AdS black holes. We consider small
fluctuations around these black holes and determine the constraint on Lovelock
parameters by demanding causality of the boundary theory. For the case of cubic
Lovelock gravity in seven spacetime dimensions we compute the holographic Weyl
anomaly and determine the three point functions of the stress energy tensor in
the boundary CFT. Remarkably, these correlators happen to satisfy the same
relation as the one imposed by supersymmetry. We then compute the energy flux;
requiring it to be positive is shown to be completely equivalent to requiring
causality of the finite temperature CFT dual to the black hole. These
constraints are not stringent enough to place any positive lower bound on the
value of viscosity. Finally, we conjecture an expression for the energy flux
valid for any Lovelock theory in arbitrary dimensions.
|
[
{
"created": "Thu, 10 Dec 2009 20:28:19 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Apr 2010 16:54:28 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"de Boer",
"Jan",
""
],
[
"Kulaxizi",
"Manuela",
""
],
[
"Parnachev",
"Andrei",
""
]
] |
We study holographic implications of Lovelock gravities in AdS spacetimes. For a generic Lovelock gravity in arbitrary spacetime dimensions we formulate the existence condition for asymptotically AdS black holes. We consider small fluctuations around these black holes and determine the constraint on Lovelock parameters by demanding causality of the boundary theory. For the case of cubic Lovelock gravity in seven spacetime dimensions we compute the holographic Weyl anomaly and determine the three point functions of the stress energy tensor in the boundary CFT. Remarkably, these correlators happen to satisfy the same relation as the one imposed by supersymmetry. We then compute the energy flux; requiring it to be positive is shown to be completely equivalent to requiring causality of the finite temperature CFT dual to the black hole. These constraints are not stringent enough to place any positive lower bound on the value of viscosity. Finally, we conjecture an expression for the energy flux valid for any Lovelock theory in arbitrary dimensions.
|
1906.01652
|
Eric D'Hoker
|
Eric D'Hoker and Michael B. Green
|
Exploring transcendentality in superstring amplitudes
|
65 pages, 4 figures; typos corrected, reference added, minor edits in
version 2; factor of 4 corrected in theorem 4.1 in version 3
| null |
10.1007/JHEP07(2019)149
| null |
hep-th math.NT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is well known that the low energy expansion of tree-level superstring
scattering amplitudes satisfies a suitably defined version of maximum
transcendentality. In this paper it is argued that there is a natural extension
of this definition that applies to the genus-one four-graviton Type II
superstring amplitude to all orders in the low-energy expansion. To obtain this
result, the integral over the genus-one moduli space is partitioned into a
region ${\cal M}_R$ surrounding the cusp and its complement ${\cal M}_L$, and
an exact expression is obtained for the contribution to the amplitude from
${\cal M}_R$. The low-energy expansion of the ${\cal M}_R$ contribution is
proven to be free of irreducible multiple zeta-values to all orders. The
contribution to the amplitude from ${\cal M}_L$ is computed in terms of modular
graph functions up to order $D^{12} {\cal R}^4$ in the low-energy expansion,
and general arguments are used beyond this order to conjecture the
transcendentality properties of the ${\cal M}_L$ contributions. Maximal
transcendentality of the full amplitude holds provided we assign a non-zero
weight to certain harmonic sums, an assumption which is familiar from
transcendentality assignments in quantum field theory amplitudes.
|
[
{
"created": "Tue, 4 Jun 2019 18:00:11 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Jul 2019 22:44:37 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Jun 2021 15:40:21 GMT",
"version": "v3"
}
] |
2021-06-29
|
[
[
"D'Hoker",
"Eric",
""
],
[
"Green",
"Michael B.",
""
]
] |
It is well known that the low energy expansion of tree-level superstring scattering amplitudes satisfies a suitably defined version of maximum transcendentality. In this paper it is argued that there is a natural extension of this definition that applies to the genus-one four-graviton Type II superstring amplitude to all orders in the low-energy expansion. To obtain this result, the integral over the genus-one moduli space is partitioned into a region ${\cal M}_R$ surrounding the cusp and its complement ${\cal M}_L$, and an exact expression is obtained for the contribution to the amplitude from ${\cal M}_R$. The low-energy expansion of the ${\cal M}_R$ contribution is proven to be free of irreducible multiple zeta-values to all orders. The contribution to the amplitude from ${\cal M}_L$ is computed in terms of modular graph functions up to order $D^{12} {\cal R}^4$ in the low-energy expansion, and general arguments are used beyond this order to conjecture the transcendentality properties of the ${\cal M}_L$ contributions. Maximal transcendentality of the full amplitude holds provided we assign a non-zero weight to certain harmonic sums, an assumption which is familiar from transcendentality assignments in quantum field theory amplitudes.
|
0807.1495
|
Artemio Gonzalez-Lopez
|
J.C. Barba, F. Finkel, A. Gonzalez-Lopez, M.A. Rodriguez
|
An exactly solvable supersymmetric spin chain of BC_N type
|
36 pages, 7 figures
|
Nucl.Phys.B806:684-714,2009
|
10.1016/j.nuclphysb.2008.08.014
| null |
hep-th cond-mat.str-el math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a new exactly solvable supersymmetric spin chain related to the
BC_N extended root system, which includes as a particular case the BC_N version
of the Polychronakos-Frahm spin chain. We also introduce a supersymmetric spin
dynamical model of Calogero type which yields the new chain in the large
coupling limit. This connection is exploited to derive two different
closed-form expressions for the chain's partition function by means of
Polychronakos's freezing trick. We establish a boson-fermion duality relation
for the new chain's spectrum, which is in fact valid for a large class of (not
necessarily integrable) spin chains of BC_N type. The exact expressions for the
partition function are also used to study the chain's spectrum as a whole,
showing that the level density is normally distributed even for a moderately
large number of particles. We also determine a simple analytic approximation to
the distribution of normalized spacings between consecutive levels which fits
the numerical data with remarkable accuracy. Our results provide further
evidence that spin chains of Haldane-Shastry type are exceptional integrable
models, in the sense that their spacings distribution is not Poissonian, as
posited by the Berry-Tabor conjecture for "generic'' quantum integrable
systems.
|
[
{
"created": "Wed, 9 Jul 2008 16:58:50 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Barba",
"J. C.",
""
],
[
"Finkel",
"F.",
""
],
[
"Gonzalez-Lopez",
"A.",
""
],
[
"Rodriguez",
"M. A.",
""
]
] |
We construct a new exactly solvable supersymmetric spin chain related to the BC_N extended root system, which includes as a particular case the BC_N version of the Polychronakos-Frahm spin chain. We also introduce a supersymmetric spin dynamical model of Calogero type which yields the new chain in the large coupling limit. This connection is exploited to derive two different closed-form expressions for the chain's partition function by means of Polychronakos's freezing trick. We establish a boson-fermion duality relation for the new chain's spectrum, which is in fact valid for a large class of (not necessarily integrable) spin chains of BC_N type. The exact expressions for the partition function are also used to study the chain's spectrum as a whole, showing that the level density is normally distributed even for a moderately large number of particles. We also determine a simple analytic approximation to the distribution of normalized spacings between consecutive levels which fits the numerical data with remarkable accuracy. Our results provide further evidence that spin chains of Haldane-Shastry type are exceptional integrable models, in the sense that their spacings distribution is not Poissonian, as posited by the Berry-Tabor conjecture for "generic'' quantum integrable systems.
|
2106.01374
|
Yuanhong Guo
|
Yuanhong Guo, Lei Wang, Gang Yang
|
Bootstrapping a Two-Loop Four-Point Form Factor
|
11 pages, 3 figures, 4 tables; v2: references added, published
version
|
Phys. Rev. Lett. 127, 151602 (2021)
|
10.1103/PhysRevLett.127.151602
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the two-loop four-point form factor of a length-3 half-BPS
operator in planar N=4 SYM, which belongs to the class of two-loop five-point
scattering observables with one off-shell color-singlet leg. A new
bootstrapping strategy is developed to obtain this result by starting with an
ansatz expanded in terms of master integrals and then solving the master
coefficients via various physical constraints. We find that consistency
conditions of infrared divergences and collinear limits, together with the
cancellation of spurious poles, can fix a significant part of the ansatz. The
remaining degrees of freedom can be fixed by one simple type of two-double
unitarity cut. Full analytic results in terms of both symbol and Goncharov
polylogarithms are provided.
|
[
{
"created": "Wed, 2 Jun 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Oct 2021 07:53:32 GMT",
"version": "v2"
}
] |
2021-10-13
|
[
[
"Guo",
"Yuanhong",
""
],
[
"Wang",
"Lei",
""
],
[
"Yang",
"Gang",
""
]
] |
We compute the two-loop four-point form factor of a length-3 half-BPS operator in planar N=4 SYM, which belongs to the class of two-loop five-point scattering observables with one off-shell color-singlet leg. A new bootstrapping strategy is developed to obtain this result by starting with an ansatz expanded in terms of master integrals and then solving the master coefficients via various physical constraints. We find that consistency conditions of infrared divergences and collinear limits, together with the cancellation of spurious poles, can fix a significant part of the ansatz. The remaining degrees of freedom can be fixed by one simple type of two-double unitarity cut. Full analytic results in terms of both symbol and Goncharov polylogarithms are provided.
|
hep-th/0610243
|
Michael Thies
|
Felix Karbstein, Michael Thies
|
How to get from imaginary to real chemical potential
|
revtex, 9 pages, 10 figures; v2: add more references, modify
concluding section
|
Phys.Rev.D75:025003,2007
|
10.1103/PhysRevD.75.025003
| null |
hep-th hep-lat hep-ph
| null |
Using the exactly solvable Gross-Neveu model as theoretical laboratory, we
analyse in detail the relationship between a relativistic quantum field theory
at real and imaginary chemical potential. We find that one can retrieve the
full information about the phase diagram of the theory from an imaginary
chemical potential calculation. The prerequisite is to evaluate and
analytically continue the effective potential for the chiral order parameter,
rather than thermodynamic observables or phase boundaries. In the case of an
inhomogeneous phase, one needs to compute the full effective action, a
functional of the space-dependent order parameter, at imaginary chemical
potential.
|
[
{
"created": "Mon, 23 Oct 2006 13:38:23 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Oct 2006 14:43:23 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Karbstein",
"Felix",
""
],
[
"Thies",
"Michael",
""
]
] |
Using the exactly solvable Gross-Neveu model as theoretical laboratory, we analyse in detail the relationship between a relativistic quantum field theory at real and imaginary chemical potential. We find that one can retrieve the full information about the phase diagram of the theory from an imaginary chemical potential calculation. The prerequisite is to evaluate and analytically continue the effective potential for the chiral order parameter, rather than thermodynamic observables or phase boundaries. In the case of an inhomogeneous phase, one needs to compute the full effective action, a functional of the space-dependent order parameter, at imaginary chemical potential.
|
0710.2093
|
Sylvain Ribault
|
V. Fateev (LPTA), S. Ribault (LPTA)
|
Boundary action of the H3+ model
|
10 pages, v2: added a clarification on gluing conditions and
symmetries
|
JHEP 0802:024,2008
|
10.1088/1126-6708/2008/02/024
| null |
hep-th
| null |
We find the boundary action for Euclidean AdS2 D-branes in H3+. This action
is consistent with the D-branes' symmetries and with the H3+-Liouville relation
for disc correlators. It can be used for performing free-field calculations in
the H3+ model with boundaries. We explicitly perform the Coulomb-like integrals
which appear in the free-field calculation of the bulk one-point function, and
find agreement with previously known conformal bootstrap results.
|
[
{
"created": "Wed, 10 Oct 2007 18:47:04 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Feb 2008 14:20:53 GMT",
"version": "v2"
}
] |
2009-05-20
|
[
[
"Fateev",
"V.",
"",
"LPTA"
],
[
"Ribault",
"S.",
"",
"LPTA"
]
] |
We find the boundary action for Euclidean AdS2 D-branes in H3+. This action is consistent with the D-branes' symmetries and with the H3+-Liouville relation for disc correlators. It can be used for performing free-field calculations in the H3+ model with boundaries. We explicitly perform the Coulomb-like integrals which appear in the free-field calculation of the bulk one-point function, and find agreement with previously known conformal bootstrap results.
|
hep-th/9608108
|
Igor Klebanov
|
Steven S. Gubser and Igor R. Klebanov
|
Emission of charged particles from four- and five-dimensional black
holes
|
15 pages, latex; typos corrected, a reference added
|
Nucl.Phys. B482 (1996) 173-186
|
10.1016/S0550-3213(96)00496-8
|
PUPT-1644
|
hep-th
| null |
Recently Das and Mathur found that the leading order Hawking emission rate of
neutral scalars by near-extremal $D=5$ black holes is exactly reproduced by a
string theoretic model involving intersecting D-branes. We show that the
agreement continues to hold for charged scalar emission. We further show that
similar agreement can be obtained for a class of near-extremal $D=4$ black
holes using a model inspired by M-theory. In this model, BPS saturated $D=4$
black holes with four charges are realized in M-theory as 5-branes triply
intersecting over a string. The low-energy excitations are signals traveling on
the intersection string.
|
[
{
"created": "Thu, 15 Aug 1996 22:50:19 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Aug 1996 22:06:39 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Sep 1996 21:35:50 GMT",
"version": "v3"
}
] |
2016-09-06
|
[
[
"Gubser",
"Steven S.",
""
],
[
"Klebanov",
"Igor R.",
""
]
] |
Recently Das and Mathur found that the leading order Hawking emission rate of neutral scalars by near-extremal $D=5$ black holes is exactly reproduced by a string theoretic model involving intersecting D-branes. We show that the agreement continues to hold for charged scalar emission. We further show that similar agreement can be obtained for a class of near-extremal $D=4$ black holes using a model inspired by M-theory. In this model, BPS saturated $D=4$ black holes with four charges are realized in M-theory as 5-branes triply intersecting over a string. The low-energy excitations are signals traveling on the intersection string.
|
2108.12096
|
Kenta Suzuki
|
Kenta Suzuki, Tadashi Takayanagi
|
JT Gravity Limit of Liouville CFT and Matrix Model
|
33 pages, 3 figures; v2 minor modifications + references added
| null |
10.1007/JHEP11(2021)137
|
YITP-21-88, IPMU21-0054
|
hep-th
|
http://creativecommons.org/publicdomain/zero/1.0/
|
In this paper we study a connection between Jackiw-Teitelboim (JT) gravity on
two-dimensional anti de-Sitter spaces and a semiclassical limit of $c<1$
two-dimensional string theory. The world-sheet theory of the latter consists of
a space-like Liouville CFT coupled to a non-rational CFT defined by a time-like
Liouville CFT. We show that their actions, disk partition functions and annulus
amplitudes perfectly agree with each other, where the presence of boundary
terms plays a crucial role. We also reproduce the boundary Schwarzian theory
from the Liouville theory description. Then, we identify a matrix model dual of
our two-dimensional string theory with a specific time-dependent background in
$c=1$ matrix quantum mechanics. Finally, we also explain the corresponding
relation for the two-dimensional de-Sitter JT gravity.
|
[
{
"created": "Fri, 27 Aug 2021 02:52:54 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Nov 2021 02:09:22 GMT",
"version": "v2"
}
] |
2021-12-08
|
[
[
"Suzuki",
"Kenta",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] |
In this paper we study a connection between Jackiw-Teitelboim (JT) gravity on two-dimensional anti de-Sitter spaces and a semiclassical limit of $c<1$ two-dimensional string theory. The world-sheet theory of the latter consists of a space-like Liouville CFT coupled to a non-rational CFT defined by a time-like Liouville CFT. We show that their actions, disk partition functions and annulus amplitudes perfectly agree with each other, where the presence of boundary terms plays a crucial role. We also reproduce the boundary Schwarzian theory from the Liouville theory description. Then, we identify a matrix model dual of our two-dimensional string theory with a specific time-dependent background in $c=1$ matrix quantum mechanics. Finally, we also explain the corresponding relation for the two-dimensional de-Sitter JT gravity.
|
1803.10256
|
Falko Dulat
|
Johannes Broedel, Claude Duhr, Falko Dulat, Brenda Penante, Lorenzo
Tancredi
|
Elliptic symbol calculus: from elliptic polylogarithms to iterated
integrals of Eisenstein series
|
65 pages
| null |
10.1007/JHEP08(2018)014
| null |
hep-th hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a generalization of the symbol calculus from ordinary multiple
polylogarithms to their elliptic counterparts. Our formalism is based on a
special case of a coaction on large classes of periods that is applied in
particular to elliptic polylogarithms and iterated integrals of modular forms.
We illustrate how to use our formalism to derive relations among elliptic
polylogarithms, in complete analogy with the non-elliptic case. We then analyze
the symbol alphabet of elliptic polylogarithms evaluated at rational points,
and we observe that it is given by Eisenstein series for a certain congruence
subgroup. We apply our formalism to hypergeometric functions that can be
expressed in terms of elliptic polylogarithms and show that they can equally be
written in terms of iterated integrals of Eisenstein series. Finally, we
present the symbol of the equal-mass sunrise integral in two space-time
dimensions. The symbol alphabet involves Eisenstein series of level six and
weight three, and we can easily integrate the symbol in terms of iterated
integrals of Eisenstein series.
|
[
{
"created": "Tue, 27 Mar 2018 18:05:43 GMT",
"version": "v1"
}
] |
2018-08-29
|
[
[
"Broedel",
"Johannes",
""
],
[
"Duhr",
"Claude",
""
],
[
"Dulat",
"Falko",
""
],
[
"Penante",
"Brenda",
""
],
[
"Tancredi",
"Lorenzo",
""
]
] |
We present a generalization of the symbol calculus from ordinary multiple polylogarithms to their elliptic counterparts. Our formalism is based on a special case of a coaction on large classes of periods that is applied in particular to elliptic polylogarithms and iterated integrals of modular forms. We illustrate how to use our formalism to derive relations among elliptic polylogarithms, in complete analogy with the non-elliptic case. We then analyze the symbol alphabet of elliptic polylogarithms evaluated at rational points, and we observe that it is given by Eisenstein series for a certain congruence subgroup. We apply our formalism to hypergeometric functions that can be expressed in terms of elliptic polylogarithms and show that they can equally be written in terms of iterated integrals of Eisenstein series. Finally, we present the symbol of the equal-mass sunrise integral in two space-time dimensions. The symbol alphabet involves Eisenstein series of level six and weight three, and we can easily integrate the symbol in terms of iterated integrals of Eisenstein series.
|
1107.0876
|
Shou-Huang Dai
|
Cecilia Albertsson, Shou-Huang Dai, Pei-Wen Kao, Feng-Li Lin
|
Double Field Theory for Double D-branes
|
Latex, 1+33 pages. v2 with minor corrections, a new reference added.
v3 a typo corrected
|
JHEP 1109:025,2011
|
10.1007/JHEP09(2011)025
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider Hull's doubled formalism for open strings on D-branes in flat
space and construct the corresponding effective double field theory. We show
that the worldsheet boundary conditions of the doubled formalism describe in a
unified way a T-dual pair of D-branes, which we call double D-branes. We
evaluate the one-loop beta function for the boundary gauge coupling and then
obtain the effective field theory for the double D-branes. The effective field
theory is described by a DBI action of double fields. The T-duality covariant
form of this DBI action is thus a kind of "master" action, which describes all
the double D-brane configurations related by T-duality transformations. We
discuss a number of aspects of this effective theory.
|
[
{
"created": "Tue, 5 Jul 2011 14:15:01 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Aug 2011 08:46:04 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Dec 2011 04:44:59 GMT",
"version": "v3"
}
] |
2011-12-08
|
[
[
"Albertsson",
"Cecilia",
""
],
[
"Dai",
"Shou-Huang",
""
],
[
"Kao",
"Pei-Wen",
""
],
[
"Lin",
"Feng-Li",
""
]
] |
We consider Hull's doubled formalism for open strings on D-branes in flat space and construct the corresponding effective double field theory. We show that the worldsheet boundary conditions of the doubled formalism describe in a unified way a T-dual pair of D-branes, which we call double D-branes. We evaluate the one-loop beta function for the boundary gauge coupling and then obtain the effective field theory for the double D-branes. The effective field theory is described by a DBI action of double fields. The T-duality covariant form of this DBI action is thus a kind of "master" action, which describes all the double D-brane configurations related by T-duality transformations. We discuss a number of aspects of this effective theory.
|
2202.05261
|
Connor Behan
|
Connor Behan
|
Holographic S-fold theories at one loop
|
40+13 pages, 7 tables, PDF LaTeX, v2: New subsection, v3: Added
references, v4: More discussion, v5: Corrections
|
SciPost Phys. 12, 149 (2022)
|
10.21468/SciPostPhys.12.5.149
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
A common feature of tree-level holography is that a correlator in one theory
can serve as a generating function for correlators in another theory with less
continuous symmetry. This is the case for a family of 4d CFTs with eight
supercharges which have protected operators dual to gluons in the bulk. The
most recent additions to this family were defined using S-folds which combine a
spatial identification with an action of the S-duality group in type IIB string
theory. Differences between these CFTs which have a dynamical origin first
become manifest at one loop. To explore this phenomenon at the level of
anomalous dimensions, we use the AdS unitarity method to bootstrap a one-loop
double discontinuity. Compared to previous studies, the subsequent analysis is
performed without any assumption about which special functions are allowed.
Instead, the Casimir singular and Casimir regular terms are extracted
iteratively in order to move from one Regge trajectory to the next. Our results
show that anomalous dimensions in the presence of an S-fold are no longer
rational functions of the spin.
|
[
{
"created": "Thu, 10 Feb 2022 18:59:53 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Mar 2022 01:36:15 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Mar 2022 00:30:34 GMT",
"version": "v3"
},
{
"created": "Mon, 11 Apr 2022 14:06:39 GMT",
"version": "v4"
},
{
"created": "Tue, 2 May 2023 17:28:59 GMT",
"version": "v5"
}
] |
2023-05-03
|
[
[
"Behan",
"Connor",
""
]
] |
A common feature of tree-level holography is that a correlator in one theory can serve as a generating function for correlators in another theory with less continuous symmetry. This is the case for a family of 4d CFTs with eight supercharges which have protected operators dual to gluons in the bulk. The most recent additions to this family were defined using S-folds which combine a spatial identification with an action of the S-duality group in type IIB string theory. Differences between these CFTs which have a dynamical origin first become manifest at one loop. To explore this phenomenon at the level of anomalous dimensions, we use the AdS unitarity method to bootstrap a one-loop double discontinuity. Compared to previous studies, the subsequent analysis is performed without any assumption about which special functions are allowed. Instead, the Casimir singular and Casimir regular terms are extracted iteratively in order to move from one Regge trajectory to the next. Our results show that anomalous dimensions in the presence of an S-fold are no longer rational functions of the spin.
|
0904.3296
|
Sergey Tarabrin
|
Sergey P. Tarabrin and Sergey P. Vyatchanin
|
Double Michelson/Fabry-Perot interferometer for laser- and
displacement-noise-free gravitational-wave detection
|
12 pages, 4 figures
| null | null | null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we demonstrate that a double Michelson interferometer with
Fabry-Perot cavities in its arms is able to perform laser- and
displacement-noise-free gravitational-wave (GW) detection if certain model
assumptions are met. Assuming the input mirrors of a single
Michelson/Fabry-Perot interferometer can be rigidly attached to beamsplitter on
a central platform one can manipulate with interferometer's response signals in
a way to cancel laser noise and displacement noise of all test masses except
the cental platform. A pair of symmetrically positioned Michelson/Fabry-Perot
interferometers with common central platform can be made insusceptible to the
later then, thus allowing complete laser- and displacement-noise-free
interferometry (DFI). It is demonstrated that the DFI response to GWs of the
proposed interferometer is proportional to $f^2_{\textrm{gw}}/\gamma$, where
$\gamma$ is the cavity half-bandwidth, that is the strongest DFI response
allowed by general relativity.
|
[
{
"created": "Tue, 21 Apr 2009 17:13:57 GMT",
"version": "v1"
}
] |
2009-04-22
|
[
[
"Tarabrin",
"Sergey P.",
""
],
[
"Vyatchanin",
"Sergey P.",
""
]
] |
In this paper we demonstrate that a double Michelson interferometer with Fabry-Perot cavities in its arms is able to perform laser- and displacement-noise-free gravitational-wave (GW) detection if certain model assumptions are met. Assuming the input mirrors of a single Michelson/Fabry-Perot interferometer can be rigidly attached to beamsplitter on a central platform one can manipulate with interferometer's response signals in a way to cancel laser noise and displacement noise of all test masses except the cental platform. A pair of symmetrically positioned Michelson/Fabry-Perot interferometers with common central platform can be made insusceptible to the later then, thus allowing complete laser- and displacement-noise-free interferometry (DFI). It is demonstrated that the DFI response to GWs of the proposed interferometer is proportional to $f^2_{\textrm{gw}}/\gamma$, where $\gamma$ is the cavity half-bandwidth, that is the strongest DFI response allowed by general relativity.
|
2008.12403
|
Miguel Cruz
|
V\'ictor H. C\'ardenas, Miguel Cruz and Samuel Lepe
|
Cosmic expansion with matter creation and bulk viscosity
|
Improved version, accepted for publication in Phys. Rev. D. 12 pages,
4 figures
|
Phys. Rev. D 102, 123543 (2020)
|
10.1103/PhysRevD.102.123543
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the cosmological implications at effective level of matter
creation effects in a dissipative fluid for a FLRW geometry; we also perform a
statistical analysis for this kind of model. By considering an inhomogeneous
Ansatz for the particle production rate we obtain that for created matter of
dark matter type we can have a quintessence scenario or a future singularity
known as little rip; in dependence of the value of a constant parameter,
$\eta$, which characterizes the matter production effects. The dimensionless
age of this kind of Universe is computed, showing that this number is greater
than the standard cosmology value, this is typical of universes with presence
of dark energy. The inclusion of baryonic matter is studied. By implementing
the construction of the particle production rate for a dissipative fluid by
considering two approaches for the expression of the bulk viscous pressure; we
find that in Eckart model we have a big rip singularity leading to a
catastrophic matter production and in the truncated version of the
Israel-Stewart model such rate remains bounded leading to a quintessence
scenario. For a non adiabatic dissipative fluid, we obtain a positive
temperature and the cosmic expansion obeys the second law of thermodynamics.
|
[
{
"created": "Thu, 27 Aug 2020 23:04:59 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Dec 2020 21:34:55 GMT",
"version": "v2"
}
] |
2021-01-01
|
[
[
"Cárdenas",
"Víctor H.",
""
],
[
"Cruz",
"Miguel",
""
],
[
"Lepe",
"Samuel",
""
]
] |
We explore the cosmological implications at effective level of matter creation effects in a dissipative fluid for a FLRW geometry; we also perform a statistical analysis for this kind of model. By considering an inhomogeneous Ansatz for the particle production rate we obtain that for created matter of dark matter type we can have a quintessence scenario or a future singularity known as little rip; in dependence of the value of a constant parameter, $\eta$, which characterizes the matter production effects. The dimensionless age of this kind of Universe is computed, showing that this number is greater than the standard cosmology value, this is typical of universes with presence of dark energy. The inclusion of baryonic matter is studied. By implementing the construction of the particle production rate for a dissipative fluid by considering two approaches for the expression of the bulk viscous pressure; we find that in Eckart model we have a big rip singularity leading to a catastrophic matter production and in the truncated version of the Israel-Stewart model such rate remains bounded leading to a quintessence scenario. For a non adiabatic dissipative fluid, we obtain a positive temperature and the cosmic expansion obeys the second law of thermodynamics.
|
hep-th/0410294
|
Oscar J. C. Dias
|
Oscar J. C. Dias
|
Black Hole Solutions and Pair Creation of Black Holes in Three, Four and
Higher Dimensional Spacetimes
|
PhD Thesis. December 2003. Supervisor: Jose' P. S. Lemos. Jury: Luis
Bento, Stanley Deser, Jorge Dias de Deus, Alfredo B. Henriques, Jose' P. S.
Lemos and Jorge Romao. Institution: CENTRA-Multidisciplinary Center of
Astrophysics (Research Group), Instituto Superior Tecnico (Faculty),
Universidade Tecnica de Lisboa (University), Portugal
| null | null | null |
hep-th
| null |
Black holes, first found as solutions of Einstein's General Relativity, are
important in astrophysics, since they result from the gravitational collapse of
a massive star or a cluster of stars, and in physics since they reveal
properties of the fundamental physics, such as thermodynamic and quantum
properties of gravitation.
In order to better understand the black hole physics we need exact solutions
that describe one or more black holes. In this thesis we study exact solutions
in three, four and higher dimensional spacetimes. The study in 3-dimensions is
important due to the simplification of the problem, while the discussion in
higher dimensions is essential due to the fact that many theories indicate that
extra dimensions exist in our universe. In this thesis, in any of the
dimensions mentioned above, we study exact solutions with a single black hole
and exact solutions that describe a pair of uniformly accelerated black holes
(C-metric), with the acceleration source being well identified. This later
solutions are then used to study in detail the quantum process of black hole
pair creation in an external field. We also compute the gravitational radiation
released during this pair creation process.
KEYWORDS: Exact black hole solutions; Pair of accelerated black holes,
C-metric, Ernst solution; Pair creation of black holes; Gravitational
radiation; D-dimensional spacetimes; Cosmological constant backgrounds.
|
[
{
"created": "Fri, 29 Oct 2004 16:41:36 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Dias",
"Oscar J. C.",
""
]
] |
Black holes, first found as solutions of Einstein's General Relativity, are important in astrophysics, since they result from the gravitational collapse of a massive star or a cluster of stars, and in physics since they reveal properties of the fundamental physics, such as thermodynamic and quantum properties of gravitation. In order to better understand the black hole physics we need exact solutions that describe one or more black holes. In this thesis we study exact solutions in three, four and higher dimensional spacetimes. The study in 3-dimensions is important due to the simplification of the problem, while the discussion in higher dimensions is essential due to the fact that many theories indicate that extra dimensions exist in our universe. In this thesis, in any of the dimensions mentioned above, we study exact solutions with a single black hole and exact solutions that describe a pair of uniformly accelerated black holes (C-metric), with the acceleration source being well identified. This later solutions are then used to study in detail the quantum process of black hole pair creation in an external field. We also compute the gravitational radiation released during this pair creation process. KEYWORDS: Exact black hole solutions; Pair of accelerated black holes, C-metric, Ernst solution; Pair creation of black holes; Gravitational radiation; D-dimensional spacetimes; Cosmological constant backgrounds.
|
1803.08340
|
Mohammad Reza Setare
|
M. R. Setare and H. Adami
|
First Law of Inner Mechanics of Black Holes in Generalized Minimal
Massive Gravity
| null | null |
10.1140/epjc/s10052-018-6154-9
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we examine the validity of the first law of inner mechanics of
black holes in Generalized Minimal Massive Gravity. We consider BTZ and
spacelike warped black holes and show that the first law of inner mechanics is
valid for given black holes in Generalized Minimal Massive Gravity. As we
expect, due to the presence of the Lorentz Chern-Simons term in Lagrangian of
considered model, the product of the entropies of the inner and outer horizons
depends on the mass as it happens in Topologically Massive Gravity.
|
[
{
"created": "Fri, 2 Mar 2018 08:22:07 GMT",
"version": "v1"
}
] |
2018-09-26
|
[
[
"Setare",
"M. R.",
""
],
[
"Adami",
"H.",
""
]
] |
In this paper, we examine the validity of the first law of inner mechanics of black holes in Generalized Minimal Massive Gravity. We consider BTZ and spacelike warped black holes and show that the first law of inner mechanics is valid for given black holes in Generalized Minimal Massive Gravity. As we expect, due to the presence of the Lorentz Chern-Simons term in Lagrangian of considered model, the product of the entropies of the inner and outer horizons depends on the mass as it happens in Topologically Massive Gravity.
|
2101.11619
|
Eric R. Sharpe
|
Daniel Robbins, Eric Sharpe, Thomas Vandermeulen
|
A generalization of decomposition in orbifolds
|
71 pages, LaTeX; v2: reference added; v3: typos fixed
|
JHEP 2021 (2021) 134
|
10.1007/JHEP10(2021)134
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper describes a generalization of decomposition in orbifolds. In
general terms, decomposition states that two-dimensional orbifolds and gauge
theories whose gauge groups have trivially-acting subgroups decompose into
disjoint unions of theories. However, decomposition can be, at least naively,
broken in orbifolds if the orbifold has discrete torsion in the
trivially-acting subgroup. (Formally, this breaks finite global one-form
symmetries.) Nevertheless, even in such cases, one still sees rudiments of
decomposition. In this paper, we generalize decomposition in orbifolds to
include such examples of discrete torsion, which we check in numerous examples.
Our analysis includes as special cases (and in one sense generalizes) quantum
symmetries of abelian orbifolds.
|
[
{
"created": "Wed, 27 Jan 2021 19:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Apr 2021 13:21:24 GMT",
"version": "v2"
},
{
"created": "Tue, 26 Oct 2021 21:21:16 GMT",
"version": "v3"
}
] |
2021-10-28
|
[
[
"Robbins",
"Daniel",
""
],
[
"Sharpe",
"Eric",
""
],
[
"Vandermeulen",
"Thomas",
""
]
] |
This paper describes a generalization of decomposition in orbifolds. In general terms, decomposition states that two-dimensional orbifolds and gauge theories whose gauge groups have trivially-acting subgroups decompose into disjoint unions of theories. However, decomposition can be, at least naively, broken in orbifolds if the orbifold has discrete torsion in the trivially-acting subgroup. (Formally, this breaks finite global one-form symmetries.) Nevertheless, even in such cases, one still sees rudiments of decomposition. In this paper, we generalize decomposition in orbifolds to include such examples of discrete torsion, which we check in numerous examples. Our analysis includes as special cases (and in one sense generalizes) quantum symmetries of abelian orbifolds.
|
0812.2996
|
Sun ChengYi
|
Cheng-Yi Sun
|
Dark Energy Accretion onto a Black Hole in an Expanding Universe
|
7 pages, no figures, errors is corrected
|
Commun. Theor. Phys. 52: 441-444, 2009
|
10.1088/0253-6102/52/3/12
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By using the solution describing a black hole embedded in the FLRW universe,
we obtain the evolving equation of the black hole mass expressed in terms of
the cosmological parameters. The evolving equation indicates that in the
phantom dark energy universe the black hole mass becomes zero before the Big
Rip is reached.
|
[
{
"created": "Tue, 16 Dec 2008 08:15:43 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Feb 2009 07:40:47 GMT",
"version": "v2"
},
{
"created": "Sat, 14 Mar 2009 07:13:24 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Sun",
"Cheng-Yi",
""
]
] |
By using the solution describing a black hole embedded in the FLRW universe, we obtain the evolving equation of the black hole mass expressed in terms of the cosmological parameters. The evolving equation indicates that in the phantom dark energy universe the black hole mass becomes zero before the Big Rip is reached.
|
2204.08294
|
Masroor C. Pookkillath
|
Antonio De Felice, Kei-ichi Maeda, Shinji Mukohyama, Masroor C.
Pookkillath
|
VCDM and Cuscuton
|
19 pages+appendices, 1 figure, match with published version
|
Phys.Rev.D 106 (2022) 2, 024028
|
10.1103/PhysRevD.106.024028
|
YITP-22-39, IPMU22-0020
|
gr-qc astro-ph.CO hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We investigate two Type-IIa Minimally Modified Gravity theories, namely VCDM
and Cuscuton theories. We confirm that all acceptable Cuscuton solutions are
always solutions for VCDM theory. However, the inverse does not hold. We find
that VCDM allows for the existence of exact General Relativity (GR) solutions
with or without the presence of matter fields and a cosmological constant. We
determine the conditions of existence for such GR-VCDM solutions in terms of
the trace of the extrinsic curvature and on the fields which define the VCDM
theory. On the other hand, for the Cuscuton theory, we find that the same set
of exact GR solutions (such as Schwarzschild and Kerr spacetimes) is not
compatible with timelike configurations of the Cuscuton field and therefore
cannot be considered as acceptable solutions. Nonetheless, in Cuscuton theory,
there could exist solutions which are not the same but close enough to GR
solutions. We also show the conditions to determine intrinsic-VCDM solutions,
i.e. solutions which differ from GR and do not belong to the Cuscuton model. We
finally show that in cosmology a mapping between VCDM and the Cuscuton is
possible, for a generic form of the VCDM potential. In particular, we find that
for a quadratic potential in VCDM theory, this mapping is well defined giving
an effective redefinition of the Planck mass for the cosmological background
solutions of both theories.
|
[
{
"created": "Mon, 18 Apr 2022 12:51:44 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Oct 2022 09:00:02 GMT",
"version": "v2"
}
] |
2022-10-04
|
[
[
"De Felice",
"Antonio",
""
],
[
"Maeda",
"Kei-ichi",
""
],
[
"Mukohyama",
"Shinji",
""
],
[
"Pookkillath",
"Masroor C.",
""
]
] |
We investigate two Type-IIa Minimally Modified Gravity theories, namely VCDM and Cuscuton theories. We confirm that all acceptable Cuscuton solutions are always solutions for VCDM theory. However, the inverse does not hold. We find that VCDM allows for the existence of exact General Relativity (GR) solutions with or without the presence of matter fields and a cosmological constant. We determine the conditions of existence for such GR-VCDM solutions in terms of the trace of the extrinsic curvature and on the fields which define the VCDM theory. On the other hand, for the Cuscuton theory, we find that the same set of exact GR solutions (such as Schwarzschild and Kerr spacetimes) is not compatible with timelike configurations of the Cuscuton field and therefore cannot be considered as acceptable solutions. Nonetheless, in Cuscuton theory, there could exist solutions which are not the same but close enough to GR solutions. We also show the conditions to determine intrinsic-VCDM solutions, i.e. solutions which differ from GR and do not belong to the Cuscuton model. We finally show that in cosmology a mapping between VCDM and the Cuscuton is possible, for a generic form of the VCDM potential. In particular, we find that for a quadratic potential in VCDM theory, this mapping is well defined giving an effective redefinition of the Planck mass for the cosmological background solutions of both theories.
|
hep-th/0001207
|
Giovanni Amelino-Camelia
|
Giovanni Amelino-Camelia
|
On a possible quantum limit for the stabilization of moduli in
brane-world scenarios
|
5 pages, LaTex
|
Phys.Lett. B481 (2000) 365-368
|
10.1016/S0370-2693(00)00447-0
|
CERN-TH/2000-035
|
hep-th
| null |
I consider the implications for brane-world scenarios of the rather robust
quantum-gravity expectation that there should be a quantum minimum limit on the
uncertainty of all physical length scales. In order to illustrate the possible
significance of this issue, I observe that, according to a plausible estimate,
the quantum limit on the length scales that characterize the bulk geometry
could affect severely the phenomenology of a recently-proposed brane-world
scenario.
|
[
{
"created": "Sat, 29 Jan 2000 18:42:02 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Amelino-Camelia",
"Giovanni",
""
]
] |
I consider the implications for brane-world scenarios of the rather robust quantum-gravity expectation that there should be a quantum minimum limit on the uncertainty of all physical length scales. In order to illustrate the possible significance of this issue, I observe that, according to a plausible estimate, the quantum limit on the length scales that characterize the bulk geometry could affect severely the phenomenology of a recently-proposed brane-world scenario.
|
hep-th/0311067
|
Dan Solomon
|
Dan Solomon
|
A problem with the Schwinger term in Dirac field theory
|
21 pages
| null | null | null |
hep-th quant-ph
| null |
In order for Dirac theory to be gauge invariant it can be shown that the
Schwinger term must be zero. However, it can also be shown that for the vacuum
state to be the lowest energy state the Schwinger term must be nonzero.
Therefore there is an inconsistency in Dirac theory involving the evaluation of
the Schwinger term. This inconsistency is discussed along with a possible way
to resolve it.
|
[
{
"created": "Fri, 7 Nov 2003 18:21:54 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Solomon",
"Dan",
""
]
] |
In order for Dirac theory to be gauge invariant it can be shown that the Schwinger term must be zero. However, it can also be shown that for the vacuum state to be the lowest energy state the Schwinger term must be nonzero. Therefore there is an inconsistency in Dirac theory involving the evaluation of the Schwinger term. This inconsistency is discussed along with a possible way to resolve it.
|
1211.2199
|
Diego Trancanelli
|
Leonardo Patino, Diego Trancanelli
|
Thermal photon production in a strongly coupled anisotropic plasma
|
27 pages, 13 figures; v2: minor changes, added references
|
JHEP 1302:154,2013
|
10.1007/JHEP02(2013)154
|
MAD-TH-12-07
|
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Photons produced in heavy ion collisions escape virtually unperturbed from
the surrounding medium, thus representing an excellent probe of the conditions
at the emission point. Using the gauge/gravity duality, we calculate the rate
of photon production in an anisotropic, strongly coupled N=4 plasma with Nf<<Nc
quark flavors. We consider arbitrary orientations of the photon momentum with
respect to the anisotropic direction, as well as arbitrary values of the
anisotropy. We present results for the correlation functions of two
electromagnetic currents and for the electric conductivity. These quantities
can be larger or smaller than the isotropic ones, depending on the direction of
propagation and polarization of the photons. The total production rate is
however always larger than the isotropic one, independently of the frequency,
direction of propagation, and value of the anisotropy.
|
[
{
"created": "Fri, 9 Nov 2012 17:56:35 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Mar 2013 01:29:37 GMT",
"version": "v2"
}
] |
2013-03-04
|
[
[
"Patino",
"Leonardo",
""
],
[
"Trancanelli",
"Diego",
""
]
] |
Photons produced in heavy ion collisions escape virtually unperturbed from the surrounding medium, thus representing an excellent probe of the conditions at the emission point. Using the gauge/gravity duality, we calculate the rate of photon production in an anisotropic, strongly coupled N=4 plasma with Nf<<Nc quark flavors. We consider arbitrary orientations of the photon momentum with respect to the anisotropic direction, as well as arbitrary values of the anisotropy. We present results for the correlation functions of two electromagnetic currents and for the electric conductivity. These quantities can be larger or smaller than the isotropic ones, depending on the direction of propagation and polarization of the photons. The total production rate is however always larger than the isotropic one, independently of the frequency, direction of propagation, and value of the anisotropy.
|
1010.3626
|
HoSeong La
|
HoSeong La
|
Davies Critical Point and Tunneling
|
1+21 pages, 6 figures, minor editorial changes, a version to appear
in IJMPD
|
Int.J.Mod.Phys.D21:1250032,2012
|
10.1142/S0218271812500320
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
From the point of view of tunneling, the physical meaning of the Davies
critical point of a second order phase transition in the black hole
thermodynamics is clarified. At the critical point, the nonthermal contribution
vanishes so that the black hole radiation is entirely thermal. It separates two
phases: one with radiation enhanced by the nonthermal contribution, the other
suppressed by the nonthermal contribution. We show this in both charged and
rotating black holes. The phase transition is also analyzed in the cases in
which emissions of charges and angular momenta are incorporated.
|
[
{
"created": "Mon, 18 Oct 2010 15:21:00 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Feb 2012 16:51:57 GMT",
"version": "v2"
}
] |
2012-03-27
|
[
[
"La",
"HoSeong",
""
]
] |
From the point of view of tunneling, the physical meaning of the Davies critical point of a second order phase transition in the black hole thermodynamics is clarified. At the critical point, the nonthermal contribution vanishes so that the black hole radiation is entirely thermal. It separates two phases: one with radiation enhanced by the nonthermal contribution, the other suppressed by the nonthermal contribution. We show this in both charged and rotating black holes. The phase transition is also analyzed in the cases in which emissions of charges and angular momenta are incorporated.
|
2101.11029
|
Michael Walter
|
Xi Dong and Xiao-Liang Qi and Michael Walter
|
Holographic entanglement negativity and replica symmetry breaking
|
42 pages, 6 figures
|
J. High Energ. Phys. 06 (2021) 24
|
10.1007/JHEP06(2021)024
| null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Since the work of Ryu and Takayanagi, deep connections between quantum
entanglement and spacetime geometry have been revealed. The negative
eigenvalues of the partial transpose of a bipartite density operator is a
useful diagnostic of entanglement. In this paper, we discuss the properties of
the associated entanglement negativity and its R\'enyi generalizations in
holographic duality. We first review the definition of the R\'enyi
negativities, which contain the familiar logarithmic negativity as a special
case. We then study these quantities in the random tensor network model and
rigorously derive their large bond dimension asymptotics. Finally, we study
entanglement negativity in holographic theories with a gravity dual, where we
find that R\'enyi negativities are often dominated by bulk solutions that break
the replica symmetry. From these replica symmetry breaking solutions, we derive
general expressions for R\'enyi negativities and their special limits including
the logarithmic negativity. In fixed-area states, these general expressions
simplify dramatically and agree precisely with our results in the random tensor
network model. This provides a concrete setting for further studying the
implications of replica symmetry breaking in holography.
|
[
{
"created": "Tue, 26 Jan 2021 19:00:45 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jun 2021 07:54:03 GMT",
"version": "v2"
}
] |
2021-06-08
|
[
[
"Dong",
"Xi",
""
],
[
"Qi",
"Xiao-Liang",
""
],
[
"Walter",
"Michael",
""
]
] |
Since the work of Ryu and Takayanagi, deep connections between quantum entanglement and spacetime geometry have been revealed. The negative eigenvalues of the partial transpose of a bipartite density operator is a useful diagnostic of entanglement. In this paper, we discuss the properties of the associated entanglement negativity and its R\'enyi generalizations in holographic duality. We first review the definition of the R\'enyi negativities, which contain the familiar logarithmic negativity as a special case. We then study these quantities in the random tensor network model and rigorously derive their large bond dimension asymptotics. Finally, we study entanglement negativity in holographic theories with a gravity dual, where we find that R\'enyi negativities are often dominated by bulk solutions that break the replica symmetry. From these replica symmetry breaking solutions, we derive general expressions for R\'enyi negativities and their special limits including the logarithmic negativity. In fixed-area states, these general expressions simplify dramatically and agree precisely with our results in the random tensor network model. This provides a concrete setting for further studying the implications of replica symmetry breaking in holography.
|
hep-th/0310165
|
Thomas Heinzl
|
Thomas Heinzl (FSU Jena)
|
Light-cone zero modes revisited
|
6 pages, 5 figures, Talk given at Light-Cone Workshop: Hadrons and
Beyond (LC03), Durham, England, Aug 5-9, 2003
| null | null | null |
hep-th
| null |
The vacuum problem of light-cone quantum field theory is reanalysed from a
functional-integral point of view.
|
[
{
"created": "Fri, 17 Oct 2003 13:28:56 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Heinzl",
"Thomas",
"",
"FSU Jena"
]
] |
The vacuum problem of light-cone quantum field theory is reanalysed from a functional-integral point of view.
|
gr-qc/0306067
|
Michael Petri
|
Michael Petri (Bundesamt fuer Strahlenschutz, Salzgitter, Germany)
|
Holostar thermodynamics
|
64 pages, 1 figure; revised v2: references and typos corrected, two
minor errors on pages 34 and 38 of v1 corrected; v3: expanded thermodynamic
model to include anti-fermions, added section on matter-antimatter asymmetry,
replaced some numerical results with explicit formula
| null | null | null |
gr-qc
| null |
The holostar is an exact solution of the Einstein field equations with a
singularity free interior matter-density rho = 1 / (8 pi r^2) and a boundary
membrane consisting out of tangential pressure. Although the interior matter
has on overall string equation of state, part of the matter can be interpreted
in terms of particles. A simple thermodynamic model is presented, treating the
matter as an ideal gas of (ultrarelativistic) fermions and bosons.
The number of ultra-relativistic particles within a holostar is proportional
its surface-area, indicating that the holographic principle is valid in
classical GR for self gravitating objects of any size. Using the grand
canonical formalism we show, that the interior temperature is given by T
\propto / \sqrt{r}. With a surface redshift z \propto \sqrt{r} the holostar's
temperature at infinity is equal to the Hawking result, up to a constant
factor. The factor depends on the number of particle degrees of freedom at the
Planck energy, which is estimated as f ~ 7000. The holostar's total
thermodynamic entropy is proportional to the area of its boundary membrane.
The ultra-relativistic fermions in the interior space-time must acquire a
non-zero chemical potential, which acts as a natural source for a profound
matter-antimatter asymmetry at high temperatures.
The local values of the interior temperature and matter-density are related
to the holostar's temperature at infinity, enabling a "measurement" of the
Hawking temperature from the interior space-time. Using the experimental values
for the CMBR-temperature and the total matter-density of the universe
determined by WMAP the Hawking result is verified to an accuracy of 1%.ior
particles. Some properties expected from a rotating holostar are discussed
briefly.
|
[
{
"created": "Mon, 16 Jun 2003 13:59:13 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jul 2003 14:00:49 GMT",
"version": "v2"
},
{
"created": "Sun, 2 May 2004 18:49:45 GMT",
"version": "v3"
}
] |
2016-08-31
|
[
[
"Petri",
"Michael",
"",
"Bundesamt fuer Strahlenschutz, Salzgitter, Germany"
]
] |
The holostar is an exact solution of the Einstein field equations with a singularity free interior matter-density rho = 1 / (8 pi r^2) and a boundary membrane consisting out of tangential pressure. Although the interior matter has on overall string equation of state, part of the matter can be interpreted in terms of particles. A simple thermodynamic model is presented, treating the matter as an ideal gas of (ultrarelativistic) fermions and bosons. The number of ultra-relativistic particles within a holostar is proportional its surface-area, indicating that the holographic principle is valid in classical GR for self gravitating objects of any size. Using the grand canonical formalism we show, that the interior temperature is given by T \propto / \sqrt{r}. With a surface redshift z \propto \sqrt{r} the holostar's temperature at infinity is equal to the Hawking result, up to a constant factor. The factor depends on the number of particle degrees of freedom at the Planck energy, which is estimated as f ~ 7000. The holostar's total thermodynamic entropy is proportional to the area of its boundary membrane. The ultra-relativistic fermions in the interior space-time must acquire a non-zero chemical potential, which acts as a natural source for a profound matter-antimatter asymmetry at high temperatures. The local values of the interior temperature and matter-density are related to the holostar's temperature at infinity, enabling a "measurement" of the Hawking temperature from the interior space-time. Using the experimental values for the CMBR-temperature and the total matter-density of the universe determined by WMAP the Hawking result is verified to an accuracy of 1%.ior particles. Some properties expected from a rotating holostar are discussed briefly.
|
hep-th/0312087
|
Bin Wang
|
Da-Ping Du, Bin Wang, Elcio Abdalla and Ru-Keng Su
|
Scalar cosmological perturbation in an inflationary brane world driven
by the bulk inflaton
|
17pages, Latex format
|
Int.J.Mod.Phys. A19 (2004) 4085-4100
|
10.1142/S0217751X04019494
| null |
hep-th
| null |
We investigate scalar perturbations from inflation in a bulk inflaton
braneworld model. Using the generalized longitudinal gauge, we derive and solve
the full set of scalar perturbation equations. Our exact results support the
recent argument that for the de Sitter brane the square of the radion mass is
not positive, showing that unlike the flat brane case, the de Sitter brane is
not stable.
|
[
{
"created": "Tue, 9 Dec 2003 14:11:04 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Du",
"Da-Ping",
""
],
[
"Wang",
"Bin",
""
],
[
"Abdalla",
"Elcio",
""
],
[
"Su",
"Ru-Keng",
""
]
] |
We investigate scalar perturbations from inflation in a bulk inflaton braneworld model. Using the generalized longitudinal gauge, we derive and solve the full set of scalar perturbation equations. Our exact results support the recent argument that for the de Sitter brane the square of the radion mass is not positive, showing that unlike the flat brane case, the de Sitter brane is not stable.
|
hep-th/9210115
| null |
Albert Schwarz
|
Semiclassical approximation in Batalin-Vilkovisky formalism
|
27 pages
|
Commun.Math.Phys.158:373-396,1993
|
10.1007/BF02108080
| null |
hep-th math.DG
| null |
The geometry of supermanifolds provided with $Q$-structure (i.e. with odd
vector field $Q$ satisfying $\{ Q,Q\} =0$), $P$-structure (odd symplectic
structure ) and $S$-structure (volume element) or with various combinations of
these structures is studied. The results are applied to the analysis of
Batalin-Vilkovisky approach to the quantization of gauge theories. In
particular the semiclassical approximation in this approach is expressed in
terms of Reidemeister torsion.
|
[
{
"created": "Wed, 21 Oct 1992 17:23:18 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Oct 1992 17:47:01 GMT",
"version": "v2"
}
] |
2010-11-01
|
[
[
"Schwarz",
"Albert",
""
]
] |
The geometry of supermanifolds provided with $Q$-structure (i.e. with odd vector field $Q$ satisfying $\{ Q,Q\} =0$), $P$-structure (odd symplectic structure ) and $S$-structure (volume element) or with various combinations of these structures is studied. The results are applied to the analysis of Batalin-Vilkovisky approach to the quantization of gauge theories. In particular the semiclassical approximation in this approach is expressed in terms of Reidemeister torsion.
|
0710.1726
|
Burkhard Kleihaus
|
Burkhard Kleihaus and Jutta Kunz
|
Interior of Nonuniform Black Strings
|
4 pages, 5 figues
|
Phys.Lett.B664:210-213,2008
|
10.1016/j.physletb.2008.05.025
| null |
hep-th gr-qc
| null |
We consider nonuniform black strings inside their event horizon. We present
numerical evidence, that the singularity touches the horizon as the horizon
topology changing transition is reached.
|
[
{
"created": "Tue, 9 Oct 2007 10:57:12 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Kleihaus",
"Burkhard",
""
],
[
"Kunz",
"Jutta",
""
]
] |
We consider nonuniform black strings inside their event horizon. We present numerical evidence, that the singularity touches the horizon as the horizon topology changing transition is reached.
|
0904.0189
|
Mubasher Jamil
|
Farook Rahaman, Mubasher Jamil and Kaushik Chakraborty
|
Revisiting the classical electron model in general relativity
|
7 pages, 8 figures, to be published in Astrophys. Space Sci
|
Astrophys. Space Sci.331:191-197, 2011
|
10.1007/s10509-010-0446-3
|
arXiv:0904.0189v4 [gr-qc]
|
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Electron is modeled as a spherically symmetric charged perfect fluid
distribution of matter. The existing model is extended assuming a matter source
that is characterized by quadratic EoS in the context of general theory of
relativity. For the suitable choices of the parameters, our charged fluid
models almost satisfy the physical properties of electron.
|
[
{
"created": "Wed, 1 Apr 2009 15:39:50 GMT",
"version": "v1"
},
{
"created": "Wed, 13 May 2009 16:40:14 GMT",
"version": "v2"
},
{
"created": "Fri, 24 Jul 2009 04:41:13 GMT",
"version": "v3"
},
{
"created": "Thu, 1 Jul 2010 15:45:20 GMT",
"version": "v4"
}
] |
2011-01-04
|
[
[
"Rahaman",
"Farook",
""
],
[
"Jamil",
"Mubasher",
""
],
[
"Chakraborty",
"Kaushik",
""
]
] |
Electron is modeled as a spherically symmetric charged perfect fluid distribution of matter. The existing model is extended assuming a matter source that is characterized by quadratic EoS in the context of general theory of relativity. For the suitable choices of the parameters, our charged fluid models almost satisfy the physical properties of electron.
|
gr-qc/9712021
|
N. K. Dadhich
|
Naresh Dadhich
|
A duality relation : global monopole and texture
|
10 pages, LaTeX version
| null | null |
IUCAA-60/97
|
gr-qc
| null |
We resolve the entire gravitational field;i.e. the Riemann curvature into its
electric and magnetic parts. In general, the vacuum Einstein equation is
symmetric in active and passive electric parts. However it turns out that the
Schwarzschild solution, which is the unique spherically symmetric vacuum
solutions can be characterised by a slightly more general equation which is not
symmetric. Then the duality transformation, implying interchange of active and
passive parts will relate the Schwarzschlid particle with the one with global
monopole charge. That is the two are dual of each-other. It further turns out
that flat spacetime is dual to massless global monopole and global texture
spacetimes.
|
[
{
"created": "Wed, 3 Dec 1997 05:10:43 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Dadhich",
"Naresh",
""
]
] |
We resolve the entire gravitational field;i.e. the Riemann curvature into its electric and magnetic parts. In general, the vacuum Einstein equation is symmetric in active and passive electric parts. However it turns out that the Schwarzschild solution, which is the unique spherically symmetric vacuum solutions can be characterised by a slightly more general equation which is not symmetric. Then the duality transformation, implying interchange of active and passive parts will relate the Schwarzschlid particle with the one with global monopole charge. That is the two are dual of each-other. It further turns out that flat spacetime is dual to massless global monopole and global texture spacetimes.
|
hep-th/0004114
|
Wolfgang Mueck
|
I. Ya. Aref'eva, M. G. Ivanov, W. Mueck, K. S. Viswanathan and I. V.
Volovich
|
Consistent Linearized Gravity in Brane Backgrounds
|
15 pages
|
Nucl.Phys.B590:273-286,2000
|
10.1016/S0550-3213(00)00515-0
| null |
hep-th
| null |
A globally consistent treatment of linearized gravity in the Randall-Sundrum
background with matter on the brane is formulated. Using a novel gauge, in
which the transverse components of the metric are non-vanishing, the brane is
kept straight. We analyze the gauge symmetries and identify the physical
degrees of freedom of gravity. Our results underline the necessity for
non-gravitational confinement of matter to the brane.
|
[
{
"created": "Fri, 14 Apr 2000 23:22:44 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Aref'eva",
"I. Ya.",
""
],
[
"Ivanov",
"M. G.",
""
],
[
"Mueck",
"W.",
""
],
[
"Viswanathan",
"K. S.",
""
],
[
"Volovich",
"I. V.",
""
]
] |
A globally consistent treatment of linearized gravity in the Randall-Sundrum background with matter on the brane is formulated. Using a novel gauge, in which the transverse components of the metric are non-vanishing, the brane is kept straight. We analyze the gauge symmetries and identify the physical degrees of freedom of gravity. Our results underline the necessity for non-gravitational confinement of matter to the brane.
|
2105.00509
|
Ali Zahabi
|
Taro Kimura and Ali Zahabi
|
Unitary matrix models and random partitions: Universality and
multi-criticality
|
49 pages, 1 figure
|
J. High Energ. Phys. 2021, 100 (2021)
|
10.1007/JHEP07(2021)100
| null |
hep-th cond-mat.stat-mech math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
The generating functions for the gauge theory observables are often
represented in terms of the unitary matrix integrals. In this work, the
perturbative and non-perturbative aspects of the generic multi-critical unitary
matrix models are studied by adopting the integrable operator formalism, and
the multi-critical generalization of the Tracy--Widom distribution in the
context of random partitions. We obtain the universal results for the
multi-critical model in the weak and strong coupling phases. The free energy of
the instanton sector in the weak coupling regime, and the genus expansion of
the free energy in the strong coupling regime are explicitly computed and the
universal multi-critical phase structure of the model is explored. Finally, we
apply our results in concrete examples of supersymmetric indices of gauge
theories in the large $N$ limit.
|
[
{
"created": "Sun, 2 May 2021 17:01:02 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Sep 2021 16:59:43 GMT",
"version": "v2"
}
] |
2021-09-28
|
[
[
"Kimura",
"Taro",
""
],
[
"Zahabi",
"Ali",
""
]
] |
The generating functions for the gauge theory observables are often represented in terms of the unitary matrix integrals. In this work, the perturbative and non-perturbative aspects of the generic multi-critical unitary matrix models are studied by adopting the integrable operator formalism, and the multi-critical generalization of the Tracy--Widom distribution in the context of random partitions. We obtain the universal results for the multi-critical model in the weak and strong coupling phases. The free energy of the instanton sector in the weak coupling regime, and the genus expansion of the free energy in the strong coupling regime are explicitly computed and the universal multi-critical phase structure of the model is explored. Finally, we apply our results in concrete examples of supersymmetric indices of gauge theories in the large $N$ limit.
|
hep-th/9207046
|
E. Elizalde
|
E. Elizalde and S.D. Odintsov
|
One-Loop Renormalization in Two-Dimensional Matter-Dilaton Quantum
Gravity and Charged Black Holes
|
UB-ECM-PF 92/,latex file, 22 pages, 4 figures
|
Nucl.Phys.B399:581-600,1993
|
10.1016/0550-3213(93)90510-V
| null |
hep-th
| null |
The quantum properties of two-dimensional matter-dilaton gravity
---which includes a large family of actions for two-dimensional gravity (in
particular, string-inspired models)--- are investigated. The one-loop
divergences in linear covariant gauges are calculated and the structure of the
one-loop renormalization is studied. The explicit forms of the dilaton
potential, dilaton-Maxwell, and dilaton-scalar couplings for which the theory
is one-loop multiplicatively renormalizable are found.
A comparison with the one-loop renormalization structure of four-dimensional
gravity-matter theory is given. Charged multiple-horizon black holes which
appear in the model are also considered.
|
[
{
"created": "Tue, 14 Jul 1992 10:33:47 GMT",
"version": "v1"
}
] |
2009-09-17
|
[
[
"Elizalde",
"E.",
""
],
[
"Odintsov",
"S. D.",
""
]
] |
The quantum properties of two-dimensional matter-dilaton gravity ---which includes a large family of actions for two-dimensional gravity (in particular, string-inspired models)--- are investigated. The one-loop divergences in linear covariant gauges are calculated and the structure of the one-loop renormalization is studied. The explicit forms of the dilaton potential, dilaton-Maxwell, and dilaton-scalar couplings for which the theory is one-loop multiplicatively renormalizable are found. A comparison with the one-loop renormalization structure of four-dimensional gravity-matter theory is given. Charged multiple-horizon black holes which appear in the model are also considered.
|
1609.02223
|
Ion Vasile Vancea
|
Ion V. Vancea
|
Entanglement Entropy in the $\sigma$-Model with the de Sitter Target
Space
|
Discussion considerably enriched. References added. This version is
consistent with the published article
| null |
10.1016/j.nuclphysb.2017.09.017
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the formula of the entanglement entropy between the left and right
oscillating modes of the $\sigma$-model with the de Sitter target space. To
this end, we study the theory in the \emph{cosmological gauge} in which the
non-vanishing components of the metric on the two-dimensional base space are
functions of the expansion parameter of the de Sitter space. The model is
embedded in the causal north pole diamond of the Penrose diagram. We argue that
the cosmological gauge is natural to the $\sigma$-model as it is compatible
with the canonical quantization relations. In this gauge, we obtain a new
general solution to the equations of motion in terms of time-independent
oscillating modes. The constraint structure is adequate for quantization in the
Gupta-Bleuler formalism. We construct the space of states as a one-parameter
family of Hilbert spaces and give the Bargmann-Fock and Jordan-Schwinger
representations of it. Also, we give a simple description of the physical
subspace as an infinite product of $\mathcal{D}^{+}_{\frac{1}{2}}$ in the
positive discreet series irreducible representations of the $SU(1,1)$ group. We
construct the map generated by the Hamiltonian between states at two different
values of time and show how it produces the entanglement of left and right
excitations. Next, we derive the formula of the entanglement entropy of the
reduced density matrix for the ground state acted upon by the Hamiltonian map.
Finally, we determine the asymptotic form of the entanglement entropy of a
single mode bi-oscillator in the limit of large values of time.
|
[
{
"created": "Wed, 7 Sep 2016 23:40:43 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Sep 2016 21:35:35 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Dec 2016 22:15:36 GMT",
"version": "v3"
},
{
"created": "Thu, 5 Oct 2017 00:29:07 GMT",
"version": "v4"
}
] |
2017-10-06
|
[
[
"Vancea",
"Ion V.",
""
]
] |
We derive the formula of the entanglement entropy between the left and right oscillating modes of the $\sigma$-model with the de Sitter target space. To this end, we study the theory in the \emph{cosmological gauge} in which the non-vanishing components of the metric on the two-dimensional base space are functions of the expansion parameter of the de Sitter space. The model is embedded in the causal north pole diamond of the Penrose diagram. We argue that the cosmological gauge is natural to the $\sigma$-model as it is compatible with the canonical quantization relations. In this gauge, we obtain a new general solution to the equations of motion in terms of time-independent oscillating modes. The constraint structure is adequate for quantization in the Gupta-Bleuler formalism. We construct the space of states as a one-parameter family of Hilbert spaces and give the Bargmann-Fock and Jordan-Schwinger representations of it. Also, we give a simple description of the physical subspace as an infinite product of $\mathcal{D}^{+}_{\frac{1}{2}}$ in the positive discreet series irreducible representations of the $SU(1,1)$ group. We construct the map generated by the Hamiltonian between states at two different values of time and show how it produces the entanglement of left and right excitations. Next, we derive the formula of the entanglement entropy of the reduced density matrix for the ground state acted upon by the Hamiltonian map. Finally, we determine the asymptotic form of the entanglement entropy of a single mode bi-oscillator in the limit of large values of time.
|
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