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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1709.03027
|
Jose Ademir Sales Lima
|
A. P. Santos, R. Silva, J. S. Alcaniz, J. A. S. Lima
|
Nonextensive Kinetic Theory and H-Theorem in General Relativity
|
12 pages, no figures. Accepted for publication in Annals of Physics
| null |
10.1016/j.aop.2017.08.027
| null |
gr-qc cond-mat.quant-gas
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The nonextensive kinetic theory for degenerate quantum gases is discussed in
the general relativistic framework. By incorporating nonadditive modifications
in the collisional term of the relativistic Boltzmann equation and entropy
current, it is shown that Tsallis entropic framework satisfies a H-theorem in
the presence of gravitational fields. Consistency with the 2nd law of
thermodynamics is obtained only whether the entropic q-parameter lies in the
interval $q \in [0,2]$. As occurs in the absence of gravitational fields, it is
also proved that the local collisional equilibrium is described by the extended
Bose-Einstein (Fermi-Dirac) q-distributions.
|
[
{
"created": "Sun, 10 Sep 2017 02:27:47 GMT",
"version": "v1"
}
] |
2017-10-25
|
[
[
"Santos",
"A. P.",
""
],
[
"Silva",
"R.",
""
],
[
"Alcaniz",
"J. S.",
""
],
[
"Lima",
"J. A. S.",
""
]
] |
The nonextensive kinetic theory for degenerate quantum gases is discussed in the general relativistic framework. By incorporating nonadditive modifications in the collisional term of the relativistic Boltzmann equation and entropy current, it is shown that Tsallis entropic framework satisfies a H-theorem in the presence of gravitational fields. Consistency with the 2nd law of thermodynamics is obtained only whether the entropic q-parameter lies in the interval $q \in [0,2]$. As occurs in the absence of gravitational fields, it is also proved that the local collisional equilibrium is described by the extended Bose-Einstein (Fermi-Dirac) q-distributions.
|
1311.7409
|
Joanna Ja{\l}mu\.zna
|
Joanna Ja{\l}mu\.zna
|
Three-dimensional gravity and instability of $\text{AdS}_{3}$
|
21 pages, 6 figures
| null |
10.5506/APhysPolB.44.2603
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This is an extended version of my lecture at the LIII Cracow School of
Theoretical Physics in Zakopane in which I presented the results of joint work
with Piotr Bizo\'n concerning (in)stability of the three-dimensional anti-de
Sitter spacetime.
|
[
{
"created": "Thu, 28 Nov 2013 19:51:45 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Jałmużna",
"Joanna",
""
]
] |
This is an extended version of my lecture at the LIII Cracow School of Theoretical Physics in Zakopane in which I presented the results of joint work with Piotr Bizo\'n concerning (in)stability of the three-dimensional anti-de Sitter spacetime.
|
1310.6334
|
Suvrat Raju
|
Kyriakos Papadodimas and Suvrat Raju
|
The Black Hole Interior in AdS/CFT and the Information Paradox
|
5 pages; v2: clarified discussion of conserved charges. minor change
in notation
|
Phys. Rev. Lett. 112, 051301 (2014)
|
10.1103/PhysRevLett.112.051301
|
ICTS/2013/20
|
hep-th gr-qc hep-ph quant-ph
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
We show that, within the AdS/CFT correspondence, recent formulations of the
information paradox can be reduced to a question about the existence of certain
kinds of operators in the CFT. We describe a remarkably simple construction of
these operators on a given state of the CFT. Our construction leads to a smooth
horizon, addresses the strong subadditivity paradox, while preserving locality
within effective field theory, and reconciles the existence of the interior
with the growth of states with energy in the CFT. We also extend our
construction to non-equilibrium states.
|
[
{
"created": "Wed, 23 Oct 2013 19:18:20 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Nov 2013 08:19:18 GMT",
"version": "v2"
}
] |
2014-02-12
|
[
[
"Papadodimas",
"Kyriakos",
""
],
[
"Raju",
"Suvrat",
""
]
] |
We show that, within the AdS/CFT correspondence, recent formulations of the information paradox can be reduced to a question about the existence of certain kinds of operators in the CFT. We describe a remarkably simple construction of these operators on a given state of the CFT. Our construction leads to a smooth horizon, addresses the strong subadditivity paradox, while preserving locality within effective field theory, and reconciles the existence of the interior with the growth of states with energy in the CFT. We also extend our construction to non-equilibrium states.
|
hep-th/0503112
|
Juan Maldacena
|
Juan Maldacena
|
Long strings in two dimensional string theory and non-singlets in the
matrix model
|
40 pages, 5 figures. V2: references added
|
JHEP 0509:078,2005; Int.J.Geom.Meth.Mod.Phys.3:1-36,2006
|
10.1088/1126-6708/2005/09/078 10.1142/S0219887806001053
| null |
hep-th
| null |
We consider two dimensional string backgrounds. We discuss the physics of
long strings that come from infinity. These are related to non-singlets in the
dual matrix model description.
|
[
{
"created": "Mon, 14 Mar 2005 04:42:44 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jun 2005 20:25:32 GMT",
"version": "v2"
}
] |
2010-11-05
|
[
[
"Maldacena",
"Juan",
""
]
] |
We consider two dimensional string backgrounds. We discuss the physics of long strings that come from infinity. These are related to non-singlets in the dual matrix model description.
|
2108.08326
|
Minwoo Suh
|
Minwoo Suh
|
D4-branes wrapped on a topological disk
|
v2: 23 pages, 2 figures, analytic expression of holographic free
energy included, published version. arXiv admin note: text overlap with
arXiv:2108.01105
|
JHEP 2306 (2023) 008
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Employing the method applied to M5-branes recently by Bah, Bonetti, Minasian
and Nardoni, we study D4-branes wrapped on a disk with a non-trivial holonomy
at the boundary. In $F(4)$ gauged supergravity in six dimensions, we find
supersymmetric $AdS_4$ solutions and uplift the solutions to massive type IIA
supergravity. We calculate the holographic free energy of dual
three-dimensional superconformal field theories.
|
[
{
"created": "Wed, 18 Aug 2021 18:04:05 GMT",
"version": "v1"
},
{
"created": "Sat, 3 Jun 2023 13:10:40 GMT",
"version": "v2"
}
] |
2023-06-12
|
[
[
"Suh",
"Minwoo",
""
]
] |
Employing the method applied to M5-branes recently by Bah, Bonetti, Minasian and Nardoni, we study D4-branes wrapped on a disk with a non-trivial holonomy at the boundary. In $F(4)$ gauged supergravity in six dimensions, we find supersymmetric $AdS_4$ solutions and uplift the solutions to massive type IIA supergravity. We calculate the holographic free energy of dual three-dimensional superconformal field theories.
|
gr-qc/0605095
|
Farook Rahaman
|
F.Rahaman, M. Kalam and A. Ghosh
|
Existence of Wormholes in Einstein-Kalb-Ramond space time
|
5 pages, to appear in Nuovo Cimento B
|
Nuovo Cim.B121:303-307,2006
|
10.1393/ncb/i2006-10026-9
| null |
gr-qc
| null |
In recent, Kar.S et.al [ Phys Rev D 67,044005 (2003) ] have obtained static
spherically symmetric solutions of the Einstein-Kalb-Ramond field equations. We
have shown that their solutions, indeed, represent Wormholes.
|
[
{
"created": "Wed, 17 May 2006 07:08:05 GMT",
"version": "v1"
}
] |
2010-11-11
|
[
[
"Rahaman",
"F.",
""
],
[
"Kalam",
"M.",
""
],
[
"Ghosh",
"A.",
""
]
] |
In recent, Kar.S et.al [ Phys Rev D 67,044005 (2003) ] have obtained static spherically symmetric solutions of the Einstein-Kalb-Ramond field equations. We have shown that their solutions, indeed, represent Wormholes.
|
1406.6134
|
Andrea Prinsloo
|
Andrea Prinsloo
|
D1 and D5-brane giant gravitons on $AdS_3 \times S^3 \times S^3 \times
S^1$
|
30 pages, 4 figures. reference and figure added, minor changes
|
JHEP 12 (2014) 094
|
10.1007/JHEP12(2014)094
|
DMUS-MP-14/06
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct various examples of 1/4-BPS giant gravitons embedded into the
type IIB supergravity background $AdS_{3} \times S^{3}_{+} \times S^{3}_{-}
\times S^{1}$ with pure R-R flux: two D1-brane giants wrapping 1-cycles in
$AdS_{3}$ and $S^{3}_{+} \times S^{3}_{-}$, and one D5-brane giant wrapping a
4-cycle in $S^{3}_{+} \times S^{3}_{-}$ and the $S^{1}$. These D-branes are
supported by angular momenta $\alpha$ P on one 3-sphere and $(1-\alpha)$ P on
the other. We then construct a general class of 1/8-BPS D5-brane giant
gravitons wrapping 4-cycles $\Sigma$ in $S^{3}_{+} \times S^{3}_{-}$ and the
$S^{1}$. Here $\Sigma$ is the intersection of a holomorphic surface
$\mathcal{C}$ in $\mathbb{C}^{2}_{+} \times \mathbb{C}^{2}_{-}$ with the
$S^{3}_{+} \times S^{3}_{-}$ submanifold. The holomorphic surface $\mathcal{C}$
is defined by $f(y_{1}z_{1},y_{1}z_{2},y_{2}z_{1},y_{2}z_{2}) = 0$, with
$y_{a}$ and $z_{a}$ the $\mathbb{C}^{2}_{\pm}$ complex coordinates. There is
supersymmetry enhancement to 1/4-BPS in the special case $f(y_{1}z_{1}) = 0$ of
which our original D5-brane giant graviton is an example.
|
[
{
"created": "Tue, 24 Jun 2014 04:37:53 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Jul 2014 18:51:56 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Dec 2014 17:26:36 GMT",
"version": "v3"
}
] |
2015-06-22
|
[
[
"Prinsloo",
"Andrea",
""
]
] |
We construct various examples of 1/4-BPS giant gravitons embedded into the type IIB supergravity background $AdS_{3} \times S^{3}_{+} \times S^{3}_{-} \times S^{1}$ with pure R-R flux: two D1-brane giants wrapping 1-cycles in $AdS_{3}$ and $S^{3}_{+} \times S^{3}_{-}$, and one D5-brane giant wrapping a 4-cycle in $S^{3}_{+} \times S^{3}_{-}$ and the $S^{1}$. These D-branes are supported by angular momenta $\alpha$ P on one 3-sphere and $(1-\alpha)$ P on the other. We then construct a general class of 1/8-BPS D5-brane giant gravitons wrapping 4-cycles $\Sigma$ in $S^{3}_{+} \times S^{3}_{-}$ and the $S^{1}$. Here $\Sigma$ is the intersection of a holomorphic surface $\mathcal{C}$ in $\mathbb{C}^{2}_{+} \times \mathbb{C}^{2}_{-}$ with the $S^{3}_{+} \times S^{3}_{-}$ submanifold. The holomorphic surface $\mathcal{C}$ is defined by $f(y_{1}z_{1},y_{1}z_{2},y_{2}z_{1},y_{2}z_{2}) = 0$, with $y_{a}$ and $z_{a}$ the $\mathbb{C}^{2}_{\pm}$ complex coordinates. There is supersymmetry enhancement to 1/4-BPS in the special case $f(y_{1}z_{1}) = 0$ of which our original D5-brane giant graviton is an example.
|
gr-qc/0501010
|
Jerry B. Griffiths
|
J. B. Griffiths
|
The stability of Killing-Cauchy horizons in colliding plane wave
space-times
|
8 pages. To appear in Gen. Rel. Grav
|
Gen.Rel.Grav. 37 (2005) 1119-1128
|
10.1007/s10714-005-0094-z
| null |
gr-qc
| null |
It is confirmed rigorously that the Killing-Cauchy horizons, which sometimes
occur in space-times representing the collision and subsequent interaction of
plane gravitational waves in a Minkowski background, are unstable with respect
to bounded perturbations of the initial waves, at least for the case in which
the initial waves have constant aligned polarizations.
|
[
{
"created": "Wed, 5 Jan 2005 10:18:18 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Griffiths",
"J. B.",
""
]
] |
It is confirmed rigorously that the Killing-Cauchy horizons, which sometimes occur in space-times representing the collision and subsequent interaction of plane gravitational waves in a Minkowski background, are unstable with respect to bounded perturbations of the initial waves, at least for the case in which the initial waves have constant aligned polarizations.
|
1709.09501
|
Charles Board
|
Charles V. R. Board and John D. Barrow
|
Cosmological Models in Energy-Momentum-Squared Gravity
|
Accepted manuscript, incorporates erratum
|
Phys. Rev. D 96, 123517 (2017)
|
10.1103/PhysRevD.96.123517
| null |
gr-qc astro-ph.CO hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the cosmological effects of adding terms of higher-order in the
usual energy-momentum tensor to the matter lagrangian of general relativity.
This is in contrast to most studies of higher-order gravity which focus on
generalising the Einstein-Hilbert curvature contribution to the lagrangian. The
resulting cosmological theories include many particular theories, like bulk
viscous cosmologies, loop quantum gravity, K-essence, and brane-world
cosmologies. We find a range of exact solutions for isotropic universes,
discuss their behaviours with reference to the early and late-time evolution,
accelerated expansion, and the occurrence or avoidance of singularities. We
briefly discuss extensions to anisotropic cosmologies and delineate the
situations where the higher-order matter terms will dominate over anisotropies
on approach to cosmological singularities.
|
[
{
"created": "Wed, 27 Sep 2017 13:32:50 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Sep 2017 14:04:17 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Jan 2018 11:31:11 GMT",
"version": "v3"
},
{
"created": "Mon, 15 Apr 2019 13:28:21 GMT",
"version": "v4"
}
] |
2019-04-16
|
[
[
"Board",
"Charles V. R.",
""
],
[
"Barrow",
"John D.",
""
]
] |
We study the cosmological effects of adding terms of higher-order in the usual energy-momentum tensor to the matter lagrangian of general relativity. This is in contrast to most studies of higher-order gravity which focus on generalising the Einstein-Hilbert curvature contribution to the lagrangian. The resulting cosmological theories include many particular theories, like bulk viscous cosmologies, loop quantum gravity, K-essence, and brane-world cosmologies. We find a range of exact solutions for isotropic universes, discuss their behaviours with reference to the early and late-time evolution, accelerated expansion, and the occurrence or avoidance of singularities. We briefly discuss extensions to anisotropic cosmologies and delineate the situations where the higher-order matter terms will dominate over anisotropies on approach to cosmological singularities.
|
2111.14257
|
A. Yu. Petrov
|
A. P. Ba\^eta Scarpelli, J. C. C. Felipe, L. C. T. Brito and A. Yu.
Petrov
|
One-loop calculations in CPT-even Lorentz-breaking scalar QED
|
13 pages, 2 figures, accepted to Mod. Phys. Lett. A
|
Modern Physics Letters A, Vol. 37, No. 16, 2250100 (2022)
|
10.1142/S0217732322501000
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we study a CPT-even Lorentz-breaking extension of the scalar
QED. For this theory, we calculate the one-loop lower-order contributions in
the Lorentz-violating parameters to the two-point functions of scalar and gauge
fields. We found that the two background tensors, coming from the two sectors
(scalar and gauge) are mixed in the one-loop corrections both in finite and
divergent parts. This shows that these two Lorentz-breaking terms cannot be
studied in an isolated form. Besides, the results in the gauge sector are
confirmed to be transversal.
|
[
{
"created": "Sun, 28 Nov 2021 22:50:33 GMT",
"version": "v1"
},
{
"created": "Wed, 25 May 2022 12:30:35 GMT",
"version": "v2"
}
] |
2022-07-07
|
[
[
"Scarpelli",
"A. P. Baêta",
""
],
[
"Felipe",
"J. C. C.",
""
],
[
"Brito",
"L. C. T.",
""
],
[
"Petrov",
"A. Yu.",
""
]
] |
In this paper, we study a CPT-even Lorentz-breaking extension of the scalar QED. For this theory, we calculate the one-loop lower-order contributions in the Lorentz-violating parameters to the two-point functions of scalar and gauge fields. We found that the two background tensors, coming from the two sectors (scalar and gauge) are mixed in the one-loop corrections both in finite and divergent parts. This shows that these two Lorentz-breaking terms cannot be studied in an isolated form. Besides, the results in the gauge sector are confirmed to be transversal.
|
1910.10964
|
Yogesh Dandekar
|
Yogesh Dandekar, Arunabha Saha
|
Large D membrane for Higher Derivative Gravity and Black Hole Second Law
|
35 pages. v2: references added, minor modifications
| null |
10.1007/JHEP02(2020)083
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the effective equations of the membranes dual to black holes in a
particular theory of higher derivative gravity namely Einstein-Gauss-Bonnet
(EGB) gravity at sub-leading order in $1/D$ upto linear order in the
Gauss-Bonnet (GB) parameter $\beta$. We find an expression for an entropy
current which satisfies a local version of second law onshell in this regime.
We also derive the membrane equations upto leading order in $1/D$ but
non-perturbatively in $\beta$ for EGB gravity. In this regime we write down an
expression for a world-volume stress tensor of the membrane and also work out
the effective membrane equation for stationary black holes.
|
[
{
"created": "Thu, 24 Oct 2019 07:57:36 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Nov 2019 13:19:48 GMT",
"version": "v2"
}
] |
2020-03-18
|
[
[
"Dandekar",
"Yogesh",
""
],
[
"Saha",
"Arunabha",
""
]
] |
We derive the effective equations of the membranes dual to black holes in a particular theory of higher derivative gravity namely Einstein-Gauss-Bonnet (EGB) gravity at sub-leading order in $1/D$ upto linear order in the Gauss-Bonnet (GB) parameter $\beta$. We find an expression for an entropy current which satisfies a local version of second law onshell in this regime. We also derive the membrane equations upto leading order in $1/D$ but non-perturbatively in $\beta$ for EGB gravity. In this regime we write down an expression for a world-volume stress tensor of the membrane and also work out the effective membrane equation for stationary black holes.
|
gr-qc/0002067
|
Jonathan Thornburg
|
Sascha Husa, Christiane Lechner, Michael P\"urrer, Jonathan Thornburg,
and Peter C. Aichelburg
|
Type II Critical Collapse of a Self-Gravitating Nonlinear $\sigma$-Model
|
23 pages, includes 10 postscript figure files, uses REVTeX, epsf,
psfrag, and AMS math fonts (amstex + amssymb); to appear in PRD15. Summary of
revisions from v2: fix wrong formula in figure 6 caption and y-axis label,
also minor wording changes and update publication status of refs 5-7
|
Phys.Rev.D62:104007,2000
|
10.1103/PhysRevD.62.104007
|
UWThPh-2000-12
|
gr-qc
| null |
We report on the existence and phenomenology of type II critical collapse
within the one-parameter family of SU(2) $\sigma$-models coupled to gravity.
Numerical investigations in spherical symmetry show discretely self-similar
(DSS) behavior at the threshold of black hole formation for values of the
dimensionless coupling constant $\ccbeta$ ranging from 0.2 to 100; at 0.18 we
see small deviations from DSS. While the echoing period $\Delta$ of the
critical solution rises sharply towards the lower limit of this range, the
characteristic mass scaling has a critical exponent $\gamma$ which is almost
independent of $\ccbeta$, asymptoting to $0.1185 \pm 0.0005$ at large
$\ccbeta$. We also find critical scaling of the scalar curvature for
near-critical initial data. Our numerical results are based on an
outgoing-null-cone formulation of the Einstein-matter equations, specialized to
spherical symmetry. Our numerically computed initial-data critical parameters
$p^*$ show 2nd order convergence with the grid resolution, and after
compensating for this variation in $p^*$, our individual evolutions are
uniformly 2nd order convergent even very close to criticality.
|
[
{
"created": "Fri, 18 Feb 2000 22:34:33 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Jul 2000 17:46:57 GMT",
"version": "v2"
},
{
"created": "Thu, 14 Sep 2000 14:59:57 GMT",
"version": "v3"
}
] |
2016-08-15
|
[
[
"Husa",
"Sascha",
""
],
[
"Lechner",
"Christiane",
""
],
[
"Pürrer",
"Michael",
""
],
[
"Thornburg",
"Jonathan",
""
],
[
"Aichelburg",
"Peter C.",
""
]
] |
We report on the existence and phenomenology of type II critical collapse within the one-parameter family of SU(2) $\sigma$-models coupled to gravity. Numerical investigations in spherical symmetry show discretely self-similar (DSS) behavior at the threshold of black hole formation for values of the dimensionless coupling constant $\ccbeta$ ranging from 0.2 to 100; at 0.18 we see small deviations from DSS. While the echoing period $\Delta$ of the critical solution rises sharply towards the lower limit of this range, the characteristic mass scaling has a critical exponent $\gamma$ which is almost independent of $\ccbeta$, asymptoting to $0.1185 \pm 0.0005$ at large $\ccbeta$. We also find critical scaling of the scalar curvature for near-critical initial data. Our numerical results are based on an outgoing-null-cone formulation of the Einstein-matter equations, specialized to spherical symmetry. Our numerically computed initial-data critical parameters $p^*$ show 2nd order convergence with the grid resolution, and after compensating for this variation in $p^*$, our individual evolutions are uniformly 2nd order convergent even very close to criticality.
|
1905.00093
|
Olaf Kr\"uger PhD
|
Stefan Fredenhagen, Olaf Kr\"uger and Karapet Mkrtchyan
|
Vertex-Constraints in 3D Higher Spin Theories
|
5 pages
|
Phys. Rev. Lett. 123, 131601 (2019)
|
10.1103/PhysRevLett.123.131601
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyse the constraints imposed by gauge invariance on higher-order
interactions between massless bosonic fields in three-dimensional higher-spin
gravities. We show that vertices of quartic and higher order that are
independent of the cubic ones can only involve scalars and Maxwell fields. As a
consequence, the full non-linear interactions of massless higher-spin fields
are completely fixed by the cubic vertex.
|
[
{
"created": "Tue, 30 Apr 2019 20:20:57 GMT",
"version": "v1"
}
] |
2019-10-02
|
[
[
"Fredenhagen",
"Stefan",
""
],
[
"Krüger",
"Olaf",
""
],
[
"Mkrtchyan",
"Karapet",
""
]
] |
We analyse the constraints imposed by gauge invariance on higher-order interactions between massless bosonic fields in three-dimensional higher-spin gravities. We show that vertices of quartic and higher order that are independent of the cubic ones can only involve scalars and Maxwell fields. As a consequence, the full non-linear interactions of massless higher-spin fields are completely fixed by the cubic vertex.
|
2001.07350
|
Sandeep Aashish
|
Sandeep Aashish and Sukanta Panda
|
Covariant quantum corrections to a scalar field model inspired by
nonminimal natural inflation
|
29 pages; minor corrections, references added; to appear in JCAP
|
JCAP06(2020)009
|
10.1088/1475-7516/2020/06/009
| null |
gr-qc hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the covariant one-loop quantum gravitational effective action
for a scalar field model inspired by the recently proposed nonminimal natural
inflation model. Our calculation is perturbative, in the sense that the
effective action is evaluated in orders of background field, around a Minkowski
background. The effective potential has been evaluated taking into account the
finite corrections. An order-of-magnitude estimate of the one-loop corrections
reveals that gravitational and non-gravitational corrections have same or
comparable magnitudes.
|
[
{
"created": "Tue, 21 Jan 2020 05:58:04 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jun 2020 04:20:19 GMT",
"version": "v2"
}
] |
2020-06-11
|
[
[
"Aashish",
"Sandeep",
""
],
[
"Panda",
"Sukanta",
""
]
] |
We calculate the covariant one-loop quantum gravitational effective action for a scalar field model inspired by the recently proposed nonminimal natural inflation model. Our calculation is perturbative, in the sense that the effective action is evaluated in orders of background field, around a Minkowski background. The effective potential has been evaluated taking into account the finite corrections. An order-of-magnitude estimate of the one-loop corrections reveals that gravitational and non-gravitational corrections have same or comparable magnitudes.
|
gr-qc/9409050
|
Philip Mannheim
|
Philip D. Mannheim (University of Connecticut) and Demosthenes Kazanas
(NASA/Goddard Space Flight Center)
|
Higgs Mechanism and the Structure of the Energy-Momentum Tensor in
Einstein Gravity and Conformal Gravity
|
UCONN-94-7, plain TeX, 3 pages. To appear in the proceedings of the
Seventh Marcel Grossmann Meeting on General Relativity
| null | null | null |
gr-qc
| null |
In the standard treatment of the Einstein gravitational theory the
energy-momentum tensor has always been taken to be composed of perfect fluid
aggregates of kinematic Newtonian point test particles with fundamental
mechanical masses. Moreover, this standard prescription was not revised after
the discovery of the mass-generating Higgs mechanism which is known to be
present in the elementary particle physics of these self-same sources and which
is also required in the conformal invariant gravitational alternative being
considered by Mannheim and Kazanas. In this short contribution we show that
despite the presence of the Higgs mechanism, the standard geodesic motion and
Euler hydrodynamics still obtain in the one-particle sector of the theory even
while the overall energy-momentum tensor differs substantially from the
conventional kinematic one.
|
[
{
"created": "Fri, 23 Sep 1994 15:21:02 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Mannheim",
"Philip D.",
"",
"University of Connecticut"
],
[
"Kazanas",
"Demosthenes",
"",
"NASA/Goddard Space Flight Center"
]
] |
In the standard treatment of the Einstein gravitational theory the energy-momentum tensor has always been taken to be composed of perfect fluid aggregates of kinematic Newtonian point test particles with fundamental mechanical masses. Moreover, this standard prescription was not revised after the discovery of the mass-generating Higgs mechanism which is known to be present in the elementary particle physics of these self-same sources and which is also required in the conformal invariant gravitational alternative being considered by Mannheim and Kazanas. In this short contribution we show that despite the presence of the Higgs mechanism, the standard geodesic motion and Euler hydrodynamics still obtain in the one-particle sector of the theory even while the overall energy-momentum tensor differs substantially from the conventional kinematic one.
|
hep-th/9711189
|
William Brown
|
William E. Brown
|
Equivalence of the Beta-function of the Variational Approach to that of
QCD
|
35 pages, 11 figures, LaTeX
|
Int.J.Mod.Phys. A13 (1998) 5219-5244
|
10.1142/S0217751X98002390
|
OUTP-97-65P
|
hep-th
| null |
The variational ansatz for the ground state wavefunctional of QCD is found to
capture the anti-screening behaviour that contributes the dominant `-4' to the
beta-function and leads to asymptotic freedom. By considering an SU(N) purely
gauge theory in the Hamiltonian formalism and choosing the Coulomb gauge, the
origins of all screening and anti-screening contributions in gluon processes
are found in terms of the physical degrees of freedom. The overwhelming anti-
screening contribution of `-4' is seen to originate in the renormalisation of a
Coulomb interaction by a transverse gluon. The lesser screening contribution of
`1/3' is seen to originate in processes involving transverse gluon
interactions. It is thus apparent how the variational ansatz must be developed
to capture the full running of the QCD coupling constant.
|
[
{
"created": "Wed, 26 Nov 1997 12:20:30 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Brown",
"William E.",
""
]
] |
The variational ansatz for the ground state wavefunctional of QCD is found to capture the anti-screening behaviour that contributes the dominant `-4' to the beta-function and leads to asymptotic freedom. By considering an SU(N) purely gauge theory in the Hamiltonian formalism and choosing the Coulomb gauge, the origins of all screening and anti-screening contributions in gluon processes are found in terms of the physical degrees of freedom. The overwhelming anti- screening contribution of `-4' is seen to originate in the renormalisation of a Coulomb interaction by a transverse gluon. The lesser screening contribution of `1/3' is seen to originate in processes involving transverse gluon interactions. It is thus apparent how the variational ansatz must be developed to capture the full running of the QCD coupling constant.
|
hep-th/0311273
|
Sergei Alexandrov
|
Sergei Alexandrov
|
Matrix Quantum Mechanics and Two-dimensional String Theory in
Non-trivial Backgrounds
|
PhD thesis, defended 23/09/2003; 177 pages
| null | null | null |
hep-th
| null |
String theory is the most promising candidate for the theory unifying all
interactions including gravity. It has an extremely difficult dynamics.
Therefore, it is useful to study some its simplifications. One of them is
non-critical string theory which can be defined in low dimensions. A particular
interesting case is 2D string theory. On the one hand, it has a very rich
structure and, on the other hand, it is solvable. A complete solution of 2D
string theory in the simplest linear dilaton background was obtained using its
representation as Matrix Quantum Mechanics. This matrix model provides a very
powerful technique and reveals the integrability hidden in the usual CFT
formulation.
This thesis extends the matrix model description of 2D string theory to
non-trivial backgrounds. We show how perturbations changing the background are
incorporated into Matrix Quantum Mechanics. The perturbations are integrable
and governed by Toda Lattice hierarchy. This integrability is used to extract
various information about the perturbed system: correlation functions,
thermodynamical behaviour, structure of the target space. The results
concerning these and some other issues, like non-perturbative effects in
non-critical string theory, are presented in the thesis.
|
[
{
"created": "Fri, 28 Nov 2003 14:47:26 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Dec 2003 14:57:49 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Alexandrov",
"Sergei",
""
]
] |
String theory is the most promising candidate for the theory unifying all interactions including gravity. It has an extremely difficult dynamics. Therefore, it is useful to study some its simplifications. One of them is non-critical string theory which can be defined in low dimensions. A particular interesting case is 2D string theory. On the one hand, it has a very rich structure and, on the other hand, it is solvable. A complete solution of 2D string theory in the simplest linear dilaton background was obtained using its representation as Matrix Quantum Mechanics. This matrix model provides a very powerful technique and reveals the integrability hidden in the usual CFT formulation. This thesis extends the matrix model description of 2D string theory to non-trivial backgrounds. We show how perturbations changing the background are incorporated into Matrix Quantum Mechanics. The perturbations are integrable and governed by Toda Lattice hierarchy. This integrability is used to extract various information about the perturbed system: correlation functions, thermodynamical behaviour, structure of the target space. The results concerning these and some other issues, like non-perturbative effects in non-critical string theory, are presented in the thesis.
|
1304.6305
|
Adiel Meyer
|
Adiel Meyer, Yaron Oz
|
Constraints on Rindler Hydrodynamics
| null | null |
10.1007/JHEP07(2013)090
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study uncharged Rindler hydrodynamics at second order in the derivative
expansion. The equation of state of the theory is given by a vanishing
equilibrium energy density. We derive relations among the transport
coefficients by employing two frameworks. First, by the requirement of having
an entropy current with a non-negative divergence, second by studying the
thermal partition function on stationary backgrounds. The relations derived by
these two methods are equivalent. We verify the results by studying explicit
examples in flat and curved space-time geometries.
|
[
{
"created": "Tue, 23 Apr 2013 14:41:11 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Jun 2013 08:41:31 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Aug 2013 10:45:47 GMT",
"version": "v3"
}
] |
2015-06-15
|
[
[
"Meyer",
"Adiel",
""
],
[
"Oz",
"Yaron",
""
]
] |
We study uncharged Rindler hydrodynamics at second order in the derivative expansion. The equation of state of the theory is given by a vanishing equilibrium energy density. We derive relations among the transport coefficients by employing two frameworks. First, by the requirement of having an entropy current with a non-negative divergence, second by studying the thermal partition function on stationary backgrounds. The relations derived by these two methods are equivalent. We verify the results by studying explicit examples in flat and curved space-time geometries.
|
1706.02159
|
Gianluca Calcagni
|
Gianluca Calcagni, Michele Ronco
|
Dimensional flow and fuzziness in quantum gravity: emergence of
stochastic spacetime
|
25 pages. v2: minor typos corrected, references added
|
Nucl. Phys. B 923 (2017) 144
|
10.1016/j.nuclphysb.2017.07.016
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the uncertainty in distance and time measurements found by the
heuristic combination of quantum mechanics and general relativity is reproduced
in a purely classical and flat multi-fractal spacetime whose geometry changes
with the probed scale (dimensional flow) and has non-zero imaginary dimension,
corresponding to a discrete scale invariance at short distances. Thus,
dimensional flow can manifest itself as an intrinsic measurement uncertainty
and, conversely, measurement-uncertainty estimates are generally valid because
they rely on this universal property of quantum geometries. These general
results affect multi-fractional theories, a recent proposal related to quantum
gravity, in two ways: they can fix two parameters previously left free (in
particular, the value of the spacetime dimension at short scales) and point
towards a reinterpretation of the ultraviolet structure of geometry as a
stochastic foam or fuzziness. This is also confirmed by a correspondence we
establish between Nottale scale relativity and the stochastic geometry of
multi-fractional models.
|
[
{
"created": "Tue, 6 Jun 2017 04:59:18 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Sep 2017 14:40:32 GMT",
"version": "v2"
}
] |
2017-09-22
|
[
[
"Calcagni",
"Gianluca",
""
],
[
"Ronco",
"Michele",
""
]
] |
We show that the uncertainty in distance and time measurements found by the heuristic combination of quantum mechanics and general relativity is reproduced in a purely classical and flat multi-fractal spacetime whose geometry changes with the probed scale (dimensional flow) and has non-zero imaginary dimension, corresponding to a discrete scale invariance at short distances. Thus, dimensional flow can manifest itself as an intrinsic measurement uncertainty and, conversely, measurement-uncertainty estimates are generally valid because they rely on this universal property of quantum geometries. These general results affect multi-fractional theories, a recent proposal related to quantum gravity, in two ways: they can fix two parameters previously left free (in particular, the value of the spacetime dimension at short scales) and point towards a reinterpretation of the ultraviolet structure of geometry as a stochastic foam or fuzziness. This is also confirmed by a correspondence we establish between Nottale scale relativity and the stochastic geometry of multi-fractional models.
|
1804.10103
|
K V Pavan Kumar
|
Chethan Krishnan, K.V. Pavan Kumar
|
Complete Solution of a Gauged Tensor Model
|
64 pages, 2 figures; v2: comments and references
|
Advances in Theoretical and Mathematical Physics, Volume 23
(2019), Number 7
|
10.4310/ATMP.2019.v23.n7.a3
| null |
hep-th cond-mat.stat-mech quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Building on a strategy introduced in arXiv:1706.05364, we present exact
analytic expressions for all the singlet eigenstates and eigenvalues of the
simplest non-linear ($n=2, d=3$) gauged Gurau-Witten tensor model. This solves
the theory completely. The ground state eigenvalue is $-2\sqrt{14}$ in suitable
conventions. This matches the result obtained for the ground state energy in
the ungauged model, via brute force diagonalization on a computer. We find that
the leftover degeneracies in the gauged theory, are only partially accounted
for by its known discrete symmetries, indicating the existence of previously
unidentified "hidden" global symmetries in the system. We discuss the spectral
form factor, the beginnings of chaos, and the distinction between theories with
$SO(n)$ and $O(n)$ gaugings. Our results provide the complete analytic solution
of a non-linear gauge theory in 0+1 dimensions, albeit for a specific value of
$N$. A summary of the main results in this paper were presented in the
companion letter arXiv:1802.02502.
|
[
{
"created": "Thu, 26 Apr 2018 15:11:09 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Feb 2019 09:13:42 GMT",
"version": "v2"
}
] |
2022-10-19
|
[
[
"Krishnan",
"Chethan",
""
],
[
"Kumar",
"K. V. Pavan",
""
]
] |
Building on a strategy introduced in arXiv:1706.05364, we present exact analytic expressions for all the singlet eigenstates and eigenvalues of the simplest non-linear ($n=2, d=3$) gauged Gurau-Witten tensor model. This solves the theory completely. The ground state eigenvalue is $-2\sqrt{14}$ in suitable conventions. This matches the result obtained for the ground state energy in the ungauged model, via brute force diagonalization on a computer. We find that the leftover degeneracies in the gauged theory, are only partially accounted for by its known discrete symmetries, indicating the existence of previously unidentified "hidden" global symmetries in the system. We discuss the spectral form factor, the beginnings of chaos, and the distinction between theories with $SO(n)$ and $O(n)$ gaugings. Our results provide the complete analytic solution of a non-linear gauge theory in 0+1 dimensions, albeit for a specific value of $N$. A summary of the main results in this paper were presented in the companion letter arXiv:1802.02502.
|
gr-qc/0402063
|
Scott A. Hughes
|
Nathan A. Collins and Scott A. Hughes
|
Towards a formalism for mapping the spacetimes of massive compact
objects: Bumpy black holes and their orbits
|
16 pages + 2 appendices + 3 figures. Submitted to PRD
|
Phys.Rev. D69 (2004) 124022
|
10.1103/PhysRevD.69.124022
| null |
gr-qc astro-ph
| null |
Observations have established that extremely compact, massive objects are
common in the universe. It is generally accepted that these objects are black
holes. As observations improve, it becomes possible to test this hypothesis in
ever greater detail. In particular, it is or will be possible to measure the
properties of orbits deep in the strong field of a black hole candidate (using
x-ray timing or with gravitational-waves) and to test whether they have the
characteristics of black hole orbits in general relativity. Such measurements
can be used to map the spacetime of a massive compact object, testing whether
the object's multipoles satisfy the strict constraints of the black hole
hypothesis. Such a test requires that we compare against objects with the
``wrong'' multipole structure. In this paper, we present tools for constructing
bumpy black holes: objects that are almost black holes, but that have some
multipoles with the wrong value. The spacetimes which we present are good deep
into the strong field of the object -- we do not use a large r expansion,
except to make contact with weak field intuition. Also, our spacetimes reduce
to the black hole spacetimes of general relativity when the ``bumpiness'' is
set to zero. We propose bumpy black holes as the foundation for a null
experiment: if black hole candidates are the black holes of general relativity,
their bumpiness should be zero. By comparing orbits in a bumpy spacetime with
those of an astrophysical source, observations should be able to test this
hypothesis, stringently testing whether they are the black holes of general
relativity. (Abridged)
|
[
{
"created": "Fri, 13 Feb 2004 18:19:19 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Feb 2004 01:38:20 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Collins",
"Nathan A.",
""
],
[
"Hughes",
"Scott A.",
""
]
] |
Observations have established that extremely compact, massive objects are common in the universe. It is generally accepted that these objects are black holes. As observations improve, it becomes possible to test this hypothesis in ever greater detail. In particular, it is or will be possible to measure the properties of orbits deep in the strong field of a black hole candidate (using x-ray timing or with gravitational-waves) and to test whether they have the characteristics of black hole orbits in general relativity. Such measurements can be used to map the spacetime of a massive compact object, testing whether the object's multipoles satisfy the strict constraints of the black hole hypothesis. Such a test requires that we compare against objects with the ``wrong'' multipole structure. In this paper, we present tools for constructing bumpy black holes: objects that are almost black holes, but that have some multipoles with the wrong value. The spacetimes which we present are good deep into the strong field of the object -- we do not use a large r expansion, except to make contact with weak field intuition. Also, our spacetimes reduce to the black hole spacetimes of general relativity when the ``bumpiness'' is set to zero. We propose bumpy black holes as the foundation for a null experiment: if black hole candidates are the black holes of general relativity, their bumpiness should be zero. By comparing orbits in a bumpy spacetime with those of an astrophysical source, observations should be able to test this hypothesis, stringently testing whether they are the black holes of general relativity. (Abridged)
|
2206.12907
|
Emmanuele Battista Dr.
|
Emmanuele Battista and Vittorio De Falco
|
Gravitational waves at the first post-Newtonian order with the
Weyssenhoff fluid in Einstein-Cartan theory
|
24 pages, 3 figure. Accepted for publication in European Physical
Journal C
| null |
10.1140/epjc/s10052-022-10558-9
| null |
gr-qc astro-ph.HE hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The generation of gravitational waves from a post-Newtonian source endowed
with a quantum spin, modeled by the Weyssenhoff fluid, is investigated in the
context of Einstein-Cartan theory at the first post-Newtonian level by
resorting to the Blanchet-Damour formalism. After having worked out the basic
principles of the hydrodynamics in Einstein-Cartan framework, we study the
Weyssenhoff fluid within the post-Newtonian approximation scheme. The
complexity of the underlying dynamical equations suggests to employ a discrete
description via the point-particle limit, a procedure which permits the
analysis of inspiralling spinning compact binaries. We then provide a first
application of our results by considering binary neutron star systems.
|
[
{
"created": "Sun, 26 Jun 2022 15:37:37 GMT",
"version": "v1"
}
] |
2022-07-05
|
[
[
"Battista",
"Emmanuele",
""
],
[
"De Falco",
"Vittorio",
""
]
] |
The generation of gravitational waves from a post-Newtonian source endowed with a quantum spin, modeled by the Weyssenhoff fluid, is investigated in the context of Einstein-Cartan theory at the first post-Newtonian level by resorting to the Blanchet-Damour formalism. After having worked out the basic principles of the hydrodynamics in Einstein-Cartan framework, we study the Weyssenhoff fluid within the post-Newtonian approximation scheme. The complexity of the underlying dynamical equations suggests to employ a discrete description via the point-particle limit, a procedure which permits the analysis of inspiralling spinning compact binaries. We then provide a first application of our results by considering binary neutron star systems.
|
hep-th/0512007
|
Anton Ilderton
|
Anton Ilderton
|
QED amplitudes: recurrence relations to all orders
|
10 pages, 2 .eps figures. Replaced with published version - reference
added, conclusion extended
|
Nucl.Phys. B742 (2006) 176-186
|
10.1016/j.nuclphysb.2006.02.040
| null |
hep-th
| null |
We describe the origins of recurrence relations between field theory
amplitudes in terms of the construction of Feynman diagrams. In application we
derive recurrence relations for the amplitudes of QED which hold to all loop
orders and for all combinations of external particles. These results may also
be derived from the Schwinger-Dyson equations.
|
[
{
"created": "Thu, 1 Dec 2005 17:01:41 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Apr 2006 13:34:54 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Ilderton",
"Anton",
""
]
] |
We describe the origins of recurrence relations between field theory amplitudes in terms of the construction of Feynman diagrams. In application we derive recurrence relations for the amplitudes of QED which hold to all loop orders and for all combinations of external particles. These results may also be derived from the Schwinger-Dyson equations.
|
1411.4599
|
David Nichols
|
\'Eanna \'E. Flanagan, David A. Nichols
|
Observer dependence of angular momentum in general relativity and its
relationship to the gravitational-wave memory effect
|
19 pages, 2 figures. Matches version published in Phys. Rev. D with
errors in Appendix A corrected
|
Phys. Rev. D 92, 084057 (2015). Erratum: Phys. Rev. D 93 049905
(2016)
|
10.1103/PhysRevD.92.084057 10.1103/PhysRevD.93.049905
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We define a procedure by which observers can measure a type of
special-relativistic linear and angular momentum $(P^a, J^{ab})$ at a point in
a curved spacetime using only the spacetime geometry in a neighborhood of that
point. The method is chosen to yield the conventional results in stationary
spacetimes near future null infinity.
We also explore the extent to which spatially separated observers can compare
the values of angular momentum that they measure and find consistent results.
We define a generalization of parallel transport along curves which gives a
prescription for transporting values of angular momentum along curves that
yields the correct result in special relativity. If observers use this
prescription, then they will find that the angular momenta they measure are
observer dependent, because of the effects of spacetime curvature. The observer
dependence can be quantified by a kind of generalized holonomy. We show that
bursts of gravitational waves with memory generically give rise to a nontrivial
generalized holonomy: there is, in this context, a close relation between the
observer dependence of angular momentum and the gravitational-wave memory
effect.
|
[
{
"created": "Mon, 17 Nov 2014 19:21:43 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Jul 2015 17:45:05 GMT",
"version": "v2"
},
{
"created": "Mon, 19 Oct 2015 18:42:02 GMT",
"version": "v3"
},
{
"created": "Mon, 1 Feb 2016 23:48:02 GMT",
"version": "v4"
}
] |
2016-06-08
|
[
[
"Flanagan",
"Éanna É.",
""
],
[
"Nichols",
"David A.",
""
]
] |
We define a procedure by which observers can measure a type of special-relativistic linear and angular momentum $(P^a, J^{ab})$ at a point in a curved spacetime using only the spacetime geometry in a neighborhood of that point. The method is chosen to yield the conventional results in stationary spacetimes near future null infinity. We also explore the extent to which spatially separated observers can compare the values of angular momentum that they measure and find consistent results. We define a generalization of parallel transport along curves which gives a prescription for transporting values of angular momentum along curves that yields the correct result in special relativity. If observers use this prescription, then they will find that the angular momenta they measure are observer dependent, because of the effects of spacetime curvature. The observer dependence can be quantified by a kind of generalized holonomy. We show that bursts of gravitational waves with memory generically give rise to a nontrivial generalized holonomy: there is, in this context, a close relation between the observer dependence of angular momentum and the gravitational-wave memory effect.
|
1708.02244
|
Nathan Benjamin
|
Nathan Benjamin and Sarah M. Harrison
|
Symmetries of the refined D1/D5 BPS spectrum
|
27 pages + appendices; v2: minor changes
| null |
10.1007/JHEP11(2017)091
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine the large $N$ 1/4-BPS spectrum of the symmetric orbifold CFT
Sym$^N(M)$ deformed to the supergravity point in moduli space for $M= K3$ and
$T^4$. We consider refinement under both left- and right-moving $SU(2)_R$
symmetries of the superconformal algebra, and decompose the spectrum into
characters of the algebra. We find that at large $N$ the character
decomposition satisfies an unusual property, in which the degeneracy only
depends on a certain linear combination of left- and right-moving quantum
numbers, suggesting deeper symmetry structure. Furthermore, we consider the
action of discrete symmetry groups on these degeneracies, where certain
subgroups of the Conway group are known to play a role. We also comment on the
potential for larger discrete symmetry groups to appear in the large $N$ limit.
|
[
{
"created": "Mon, 7 Aug 2017 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Nov 2017 08:32:23 GMT",
"version": "v2"
}
] |
2017-12-06
|
[
[
"Benjamin",
"Nathan",
""
],
[
"Harrison",
"Sarah M.",
""
]
] |
We examine the large $N$ 1/4-BPS spectrum of the symmetric orbifold CFT Sym$^N(M)$ deformed to the supergravity point in moduli space for $M= K3$ and $T^4$. We consider refinement under both left- and right-moving $SU(2)_R$ symmetries of the superconformal algebra, and decompose the spectrum into characters of the algebra. We find that at large $N$ the character decomposition satisfies an unusual property, in which the degeneracy only depends on a certain linear combination of left- and right-moving quantum numbers, suggesting deeper symmetry structure. Furthermore, we consider the action of discrete symmetry groups on these degeneracies, where certain subgroups of the Conway group are known to play a role. We also comment on the potential for larger discrete symmetry groups to appear in the large $N$ limit.
|
1708.09753
|
Douglas A. Singleton
|
Michael Ragsdale and Douglas Singleton
|
Schwinger effect for non-Abelian gauge bosons
|
15 pages revtex, contribution to IF-YITP GR+HEP+Cosmo International
Symposium VI Naresuan University, Thailand
|
J.Phys.Conf.Ser. 883 (2017) no.1, 012014
|
10.1088/1742-6596/883/1/012014
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the Schwinger effect for the gauge bosons in an unbroken
non-Abelian gauge theory (e.g. the gluons of QCD). We consider both constant
"color electric" fields and "color magnetic" fields as backgrounds. As in the
Abelian Schwinger effect we find there is production of "gluons" for the color
electric field, but no particle production for the color magnetic field case.
Since the non-Abelian gauge bosons are massless there is no exponential
suppression of particle production due to the mass of the electron/positron
that one finds in the Abelian Schwinger effect. Despite the lack of an
exponential suppression of the gluon production rate due to the masslessness of
the gluons, we find that the critical field strength is even larger in the
non-Abelian case as compared to the Abelian case. This is the result of the
confinement phenomenon on QCD.
|
[
{
"created": "Wed, 30 Aug 2017 16:15:42 GMT",
"version": "v1"
}
] |
2017-09-01
|
[
[
"Ragsdale",
"Michael",
""
],
[
"Singleton",
"Douglas",
""
]
] |
We investigate the Schwinger effect for the gauge bosons in an unbroken non-Abelian gauge theory (e.g. the gluons of QCD). We consider both constant "color electric" fields and "color magnetic" fields as backgrounds. As in the Abelian Schwinger effect we find there is production of "gluons" for the color electric field, but no particle production for the color magnetic field case. Since the non-Abelian gauge bosons are massless there is no exponential suppression of particle production due to the mass of the electron/positron that one finds in the Abelian Schwinger effect. Despite the lack of an exponential suppression of the gluon production rate due to the masslessness of the gluons, we find that the critical field strength is even larger in the non-Abelian case as compared to the Abelian case. This is the result of the confinement phenomenon on QCD.
|
1512.07932
|
Massimo Taronna
|
Rakibur Rahman and Massimo Taronna
|
From Higher Spins to Strings: A Primer
|
106 pages, 2 figures. Contribution to the collection of reviews
"Introduction to Higher Spin Theory" edited by S. Fredenhagen. V2: Typos
corrected, acknowledgements and references added
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A contribution to the collection of reviews "Introduction to Higher Spin
Theory" edited by S. Fredenhagen, this introductory article is a pedagogical
account of higher-spin fields and their connections with String Theory. We
start with the motivations for and a brief historical overview of the subject.
We discuss the Wigner classifications of unitary irreducible
Poincar\'e-modules, write down covariant field equations for totally symmetric
massive and massless representations in flat space, and consider their
Lagrangian formulation. After an elementary exposition of the AdS unitary
representations, we review the key no-go and yes-go results concerning
higher-spin interactions, e.g., the Velo-Zwanziger acausality and its
string-theoretic resolution among others. The unfolded formalism, which
underlies Vasiliev's equations, is then introduced to reformulate the
flat-space Bargmann-Wigner equations and the AdS massive-scalar Klein-Gordon
equation, and to state the "central on-mass-shell theorem". These techniques
are used for deriving the unfolded form of the boundary-to-bulk propagator in
$AdS_4$, which in turn discloses the asymptotic symmetries of (supersymmetric)
higher-spin theories. The implications for string-higher-spin dualities
revealed by this analysis are then elaborated.
|
[
{
"created": "Thu, 24 Dec 2015 23:53:58 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Apr 2016 08:40:39 GMT",
"version": "v2"
}
] |
2016-04-19
|
[
[
"Rahman",
"Rakibur",
""
],
[
"Taronna",
"Massimo",
""
]
] |
A contribution to the collection of reviews "Introduction to Higher Spin Theory" edited by S. Fredenhagen, this introductory article is a pedagogical account of higher-spin fields and their connections with String Theory. We start with the motivations for and a brief historical overview of the subject. We discuss the Wigner classifications of unitary irreducible Poincar\'e-modules, write down covariant field equations for totally symmetric massive and massless representations in flat space, and consider their Lagrangian formulation. After an elementary exposition of the AdS unitary representations, we review the key no-go and yes-go results concerning higher-spin interactions, e.g., the Velo-Zwanziger acausality and its string-theoretic resolution among others. The unfolded formalism, which underlies Vasiliev's equations, is then introduced to reformulate the flat-space Bargmann-Wigner equations and the AdS massive-scalar Klein-Gordon equation, and to state the "central on-mass-shell theorem". These techniques are used for deriving the unfolded form of the boundary-to-bulk propagator in $AdS_4$, which in turn discloses the asymptotic symmetries of (supersymmetric) higher-spin theories. The implications for string-higher-spin dualities revealed by this analysis are then elaborated.
|
2405.10013
|
Wonwoo Lee
|
Hyeong-Chan Kim, Sung-Won Kim, Bum-Hoon Lee, Wonwoo Lee
|
Charged rotating wormholes: charge without charge
|
24 pages, 3 figures
| null | null | null |
gr-qc hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We present a family of charged rotating wormhole solutions to the
Einstein-Maxwell equations, supported by anisotropic matter fields. We first
revisit the charged static cases and analyze the conditions for the solution to
represent a wormhole geometry. The rotating geometry is obtained by applying
the Newman-Janis algorithm to the static geometry. We show the solutions to
Maxwell equations in detail. We believe that our wormhole geometry offers a
geometric realization corresponding to the concept of 'charge without charge'.
|
[
{
"created": "Thu, 16 May 2024 11:58:48 GMT",
"version": "v1"
}
] |
2024-05-17
|
[
[
"Kim",
"Hyeong-Chan",
""
],
[
"Kim",
"Sung-Won",
""
],
[
"Lee",
"Bum-Hoon",
""
],
[
"Lee",
"Wonwoo",
""
]
] |
We present a family of charged rotating wormhole solutions to the Einstein-Maxwell equations, supported by anisotropic matter fields. We first revisit the charged static cases and analyze the conditions for the solution to represent a wormhole geometry. The rotating geometry is obtained by applying the Newman-Janis algorithm to the static geometry. We show the solutions to Maxwell equations in detail. We believe that our wormhole geometry offers a geometric realization corresponding to the concept of 'charge without charge'.
|
0806.4292
|
Abhishek Agarwal
|
Abhishek Agarwal
|
Mass Deformations of Super Yang-Mills Theories in D= 2+1, and
Super-Membranes: A Note
|
20 Pages
|
Mod.Phys.Lett.A24:193-211,2009
|
10.1142/S0217732309028904
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Mass deformations of supersymmetric Yang-Mills theories in three spacetime
dimensions are considered. The gluons of the theories are made massive by the
inclusion of a non-local gauge and Poincare invariant mass term due to
Alexanian and Nair, while the matter fields are given standard Gaussian
mass-terms. It is shown that the dimensional reduction of such mass deformed
gauge theories defined on $R^3$ or $R\times T^2$ produces matrix quantum
mechanics with massive spectra. In particular, all known massive matrix quantum
mechanical models obtained by the deformations of dimensional reductions of
minimal super Yang-Mills theories in diverse dimensions are shown also to arise
from the dimensional reductions of appropriate massive Yang-Mills theories in
three spacetime dimensions. Explicit formulae for the gauge theory actions are
provided.
|
[
{
"created": "Thu, 26 Jun 2008 12:17:29 GMT",
"version": "v1"
}
] |
2009-02-16
|
[
[
"Agarwal",
"Abhishek",
""
]
] |
Mass deformations of supersymmetric Yang-Mills theories in three spacetime dimensions are considered. The gluons of the theories are made massive by the inclusion of a non-local gauge and Poincare invariant mass term due to Alexanian and Nair, while the matter fields are given standard Gaussian mass-terms. It is shown that the dimensional reduction of such mass deformed gauge theories defined on $R^3$ or $R\times T^2$ produces matrix quantum mechanics with massive spectra. In particular, all known massive matrix quantum mechanical models obtained by the deformations of dimensional reductions of minimal super Yang-Mills theories in diverse dimensions are shown also to arise from the dimensional reductions of appropriate massive Yang-Mills theories in three spacetime dimensions. Explicit formulae for the gauge theory actions are provided.
|
hep-th/0503149
|
Kristian D. Kennaway
|
Amihay Hanany and Kristian D. Kennaway
|
Dimer models and toric diagrams
|
26 pages, latex2e, JHEP style. v2: corrected typos and added note on
fate of 'missing' 18th phase of Y^{6,0}
| null | null |
MIT-CTP-3613
|
hep-th
| null |
We propose a duality between quiver gauge theories and the combinatorics of
dimer models. The connection is via toric diagrams together with multiplicities
associated to points in the diagram (which count multiplicities of fields in
the linear sigma model construction of the toric space). These multiplicities
may be computed from both sides and are found to agree in all known examples.
The dimer models provide new insights into the quiver gauge theories: for
example they provide a closed formula for the multiplicities of arbitrary
orbifolds of a toric space, and allow a new algorithmic method for exploring
the phase structure of the quiver gauge theory.
|
[
{
"created": "Sat, 19 Mar 2005 03:29:38 GMT",
"version": "v1"
},
{
"created": "Wed, 25 May 2005 00:04:17 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Hanany",
"Amihay",
""
],
[
"Kennaway",
"Kristian D.",
""
]
] |
We propose a duality between quiver gauge theories and the combinatorics of dimer models. The connection is via toric diagrams together with multiplicities associated to points in the diagram (which count multiplicities of fields in the linear sigma model construction of the toric space). These multiplicities may be computed from both sides and are found to agree in all known examples. The dimer models provide new insights into the quiver gauge theories: for example they provide a closed formula for the multiplicities of arbitrary orbifolds of a toric space, and allow a new algorithmic method for exploring the phase structure of the quiver gauge theory.
|
1810.01192
|
Richard Eager
|
Richard Eager
|
Local Operators from the Space of Vacua of Four Dimensional SUSY Gauge
Theories
|
38 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct local operators in short representations of supersymmetry
algebras from polyvector fields on the quantum moduli space of vacua of
supersymmetric gauge theories. These operators form a super Lie algebra under a
natural bracket operation with structure constants determined by terms in the
operator product expansion of the corresponding operators. We propose a formula
for the superconformal index in terms of an index over polyvector fields on the
moduli space of vacua.
Along the way, we construct several models with moduli space of vacua
corresponding to affine cones over smooth bases using the classical geometry of
Severi varieties and the Landsberg-Manivel projective geometries corresponding
to the Freudenthal magic square of exceptional Lie algebras. Curiously, we
relate the Landsberg-Manivel projective geometries to the exceptional enhanced
symmetry surprises of Dimofte and Gaiotto. Finally, we determine Beasley-Witten
higher-derivative F-terms in new examples arising from Severi varieties and
remark on their origin in classical projective duality.
|
[
{
"created": "Tue, 2 Oct 2018 12:02:42 GMT",
"version": "v1"
}
] |
2018-10-03
|
[
[
"Eager",
"Richard",
""
]
] |
We construct local operators in short representations of supersymmetry algebras from polyvector fields on the quantum moduli space of vacua of supersymmetric gauge theories. These operators form a super Lie algebra under a natural bracket operation with structure constants determined by terms in the operator product expansion of the corresponding operators. We propose a formula for the superconformal index in terms of an index over polyvector fields on the moduli space of vacua. Along the way, we construct several models with moduli space of vacua corresponding to affine cones over smooth bases using the classical geometry of Severi varieties and the Landsberg-Manivel projective geometries corresponding to the Freudenthal magic square of exceptional Lie algebras. Curiously, we relate the Landsberg-Manivel projective geometries to the exceptional enhanced symmetry surprises of Dimofte and Gaiotto. Finally, we determine Beasley-Witten higher-derivative F-terms in new examples arising from Severi varieties and remark on their origin in classical projective duality.
|
hep-th/0307282
|
Anton Rebhan
|
A. Rebhan, P. van Nieuwenhuizen, R. Wimmer
|
Nonvanishing quantum corrections to the mass and central charge of the
N=2 vortex and BPS saturation
|
1+16 pages LATeX, 1 figure. v3: minor additions
|
Nucl.Phys. B679 (2004) 382-394
|
10.1016/j.nuclphysb.2003.11.030
|
TUW-03-17, YITP-SB-03-37, ESI 1344
|
hep-th
| null |
The one-loop quantum corrections to the mass and central charge of the N=2
vortex in 2+1 dimensions are determined using supersymmetry-preserving
dimensional regularization by dimensional reduction of the corresponding N=1
model with Fayet-Iliopoulos term in 3+1 dimensions. Both the mass and the
central charge turn out to have nonvanishing one-loop corrections which however
are equal and thus saturate the Bogomolnyi bound. We explain BPS saturation by
standard multiplet shortening arguments, correcting a previous claim in the
literature postulating the presence of a second degenerate short multiplet at
the quantum level.
|
[
{
"created": "Tue, 29 Jul 2003 16:55:25 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Aug 2003 12:29:48 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Oct 2003 11:17:49 GMT",
"version": "v3"
}
] |
2010-04-05
|
[
[
"Rebhan",
"A.",
""
],
[
"van Nieuwenhuizen",
"P.",
""
],
[
"Wimmer",
"R.",
""
]
] |
The one-loop quantum corrections to the mass and central charge of the N=2 vortex in 2+1 dimensions are determined using supersymmetry-preserving dimensional regularization by dimensional reduction of the corresponding N=1 model with Fayet-Iliopoulos term in 3+1 dimensions. Both the mass and the central charge turn out to have nonvanishing one-loop corrections which however are equal and thus saturate the Bogomolnyi bound. We explain BPS saturation by standard multiplet shortening arguments, correcting a previous claim in the literature postulating the presence of a second degenerate short multiplet at the quantum level.
|
gr-qc/0505143
|
Burkhard Kleihaus
|
Burkhard Kleihaus (1), Jutta Kunz (1), Meike List (1 and 2) (1)
(Universit\"at Oldenburg) (2) (ZARM, Universit\"at Bremen)
|
Rotating Boson Stars and Q-Balls
|
22 pages, 18 figures
|
Phys.Rev.D72:064002,2005
|
10.1103/PhysRevD.72.064002
| null |
gr-qc
| null |
We consider axially symmetric, rotating boson stars. Their flat space limits
represent spinning Q-balls. We discuss their properties and determine their
domain of existence. Q-balls and boson stars are stationary solutions and exist
only in a limited frequency range. The coupling to gravity gives rise to a
spiral-like frequency dependence of the boson stars. We address the flat space
limit and the limit of strong gravitational coupling. For comparison we also
determine the properties of spherically symmetric Q-balls and boson stars.
|
[
{
"created": "Sun, 29 May 2005 11:15:28 GMT",
"version": "v1"
}
] |
2010-11-19
|
[
[
"Kleihaus",
"Burkhard",
"",
"1 and 2"
],
[
"Kunz",
"Jutta",
"",
"1 and 2"
],
[
"List",
"Meike",
"",
"1 and 2"
]
] |
We consider axially symmetric, rotating boson stars. Their flat space limits represent spinning Q-balls. We discuss their properties and determine their domain of existence. Q-balls and boson stars are stationary solutions and exist only in a limited frequency range. The coupling to gravity gives rise to a spiral-like frequency dependence of the boson stars. We address the flat space limit and the limit of strong gravitational coupling. For comparison we also determine the properties of spherically symmetric Q-balls and boson stars.
|
hep-th/0305045
|
J. Antonio Garcia Zenteno
|
Ignacio Cortese and J. Antonio Garcia
|
Lagrangian and Noncommutativity
|
25 pag. Latex. Reference added
| null | null | null |
hep-th gr-qc math-ph math.MP physics.class-ph
| null |
We analyze the relation between the concept of auxiliary variables and the
Inverse problem of the calculus of variations to construct a Lagrangian from a
given set of equations of motion. The problem of the construction of a
consistent second order dynamics from a given first order dynamics is
investigated. At the level of equations of motion we find that this reduction
process is consistent provided that the mapping of the boundary data be taken
properly into account. At the level of the variational principle we analyze the
obstructions to construct a second order Lagrangian from a first order one and
give an explicit formal non-local Lagrangian that reproduce the second order
projected dynamics. Finally we apply our ideas to the so called
``Noncommutative classical dynamics''.
|
[
{
"created": "Wed, 7 May 2003 00:18:02 GMT",
"version": "v1"
},
{
"created": "Tue, 13 May 2003 19:24:14 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Cortese",
"Ignacio",
""
],
[
"Garcia",
"J. Antonio",
""
]
] |
We analyze the relation between the concept of auxiliary variables and the Inverse problem of the calculus of variations to construct a Lagrangian from a given set of equations of motion. The problem of the construction of a consistent second order dynamics from a given first order dynamics is investigated. At the level of equations of motion we find that this reduction process is consistent provided that the mapping of the boundary data be taken properly into account. At the level of the variational principle we analyze the obstructions to construct a second order Lagrangian from a first order one and give an explicit formal non-local Lagrangian that reproduce the second order projected dynamics. Finally we apply our ideas to the so called ``Noncommutative classical dynamics''.
|
1907.01562
|
Oscar Henriksson
|
Oscar Henriksson, Carlos Hoyos, Niko Jokela
|
Novel color superconducting phases of $\cal{N}$ = 4 super Yang-Mills at
strong coupling
|
34 pages, 10 figures; v2: Included material in sec. 2 discussing the
field theory, and extended the analysis of the effective potential in sec. 4.
Other minor typos corrected. Version published in JHEP
| null |
10.1007/JHEP09(2019)088
|
HIP-2019-19/TH
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit the large-$N_c$ phase diagram of $\cal{N}$ = 4 super Yang-Mills
theory at finite $R$-charge density and strong coupling, by means of the
AdS/CFT correspondence. We conjecture new phases that result from a black hole
shedding some of its charge through the nucleation of probe color D3-branes
that remain at a finite distance from the black hole when the dual field theory
lives on a sphere. In the corresponding ground states the color group is
partially Higgsed, so these phases can be identified as having a type of color
superconductivity. The new phases would appear at intermediate values of the
$R$-charge chemical potential and we expect them to be metastable but
long-lived in the large-$N_c$ limit.
|
[
{
"created": "Tue, 2 Jul 2019 18:00:07 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Oct 2019 11:05:26 GMT",
"version": "v2"
}
] |
2019-10-07
|
[
[
"Henriksson",
"Oscar",
""
],
[
"Hoyos",
"Carlos",
""
],
[
"Jokela",
"Niko",
""
]
] |
We revisit the large-$N_c$ phase diagram of $\cal{N}$ = 4 super Yang-Mills theory at finite $R$-charge density and strong coupling, by means of the AdS/CFT correspondence. We conjecture new phases that result from a black hole shedding some of its charge through the nucleation of probe color D3-branes that remain at a finite distance from the black hole when the dual field theory lives on a sphere. In the corresponding ground states the color group is partially Higgsed, so these phases can be identified as having a type of color superconductivity. The new phases would appear at intermediate values of the $R$-charge chemical potential and we expect them to be metastable but long-lived in the large-$N_c$ limit.
|
hep-th/9507118
|
Roger Behrend
|
Roger E. Behrend, Paul A. Pearce and David L. O'Brien (University of
Melbourne)
|
Interaction-Round-a-Face Models with Fixed Boundary Conditions: The ABF
Fusion Hierarchy
|
48 pages, LaTeX, requires about 79000 words of TeX memory. Submitted
to J. Stat. Phys
|
J. Stat. Phys. 84 (1996) 1
|
10.1007/BF02179576
| null |
hep-th
| null |
We use boundary weights and reflection equations to obtain families of
commuting double-row transfer matrices for interaction-round-a-face models with
fixed boundary conditions. In particular, we consider the fusion hierarchy of
the Andrews-Baxter-Forrester models, for which we find that the double-row
transfer matrices satisfy functional equations with an su(2) structure.
|
[
{
"created": "Fri, 21 Jul 1995 22:14:03 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Jul 1995 07:14:15 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Behrend",
"Roger E.",
"",
"University of\n Melbourne"
],
[
"Pearce",
"Paul A.",
"",
"University of\n Melbourne"
],
[
"O'Brien",
"David L.",
"",
"University of\n Melbourne"
]
] |
We use boundary weights and reflection equations to obtain families of commuting double-row transfer matrices for interaction-round-a-face models with fixed boundary conditions. In particular, we consider the fusion hierarchy of the Andrews-Baxter-Forrester models, for which we find that the double-row transfer matrices satisfy functional equations with an su(2) structure.
|
1708.01520
|
Yubo Ma
|
Yu-Bo Ma, Ren Zhao, Shuo Cao
|
Thermodynamics of de Sitter black hole in massive gravity
|
6 pages, 6 figures
| null |
10.1088/0253-6102/69/5/544
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, by taking de Sitter space-time as a thermodynamic system, we
study the equivalent thermodynamic quantities of de Sitter black hole in
massive gravity, and furthermore obtain the equivalent thermodynamic quantities
of the space-time. Our results show that the entropy of this type of space-time
takes the same form as that in Reissner-Nordstrom-de Sitter space-time, which
lays a solid foundation for deeply understanding the universal thermodynamic
characteristics of de Sitter space-time in the future. Moreover, our analysis
indicates that the equivalent thermodynamic quantities and relevant parameters
play a very important role, especially in the investigation of the stability
and evolution of de Sitter space-time.
|
[
{
"created": "Thu, 3 Aug 2017 16:34:26 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Aug 2017 03:36:46 GMT",
"version": "v2"
}
] |
2018-06-13
|
[
[
"Ma",
"Yu-Bo",
""
],
[
"Zhao",
"Ren",
""
],
[
"Cao",
"Shuo",
""
]
] |
In this paper, by taking de Sitter space-time as a thermodynamic system, we study the equivalent thermodynamic quantities of de Sitter black hole in massive gravity, and furthermore obtain the equivalent thermodynamic quantities of the space-time. Our results show that the entropy of this type of space-time takes the same form as that in Reissner-Nordstrom-de Sitter space-time, which lays a solid foundation for deeply understanding the universal thermodynamic characteristics of de Sitter space-time in the future. Moreover, our analysis indicates that the equivalent thermodynamic quantities and relevant parameters play a very important role, especially in the investigation of the stability and evolution of de Sitter space-time.
|
1804.09514
|
Erik Widen
|
Erik Widen
|
One-point functions in $\beta$-deformed N = 4 SYM with defect
|
20 pages, 5 figures
| null |
10.1007/JHEP11(2018)114
|
NORDITA-2018-034; UUITP-17/18
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We generalize earlier results on one-point functions in N = 4 SYM with a
co-dimension one defect, dual to the D3-D5-brane setup in type IIB string
theory on AdS5xS5, to a similar setup in the $\beta$-deformed version of the
theory. The treelevel vacuum expectation values of single-trace operators in
the two-scalar-subsector are expressed as overlaps between a matrix product
state (MPS) and Bethe states in the corresponding twisted spin-chain picture.
We comment on the properties of this MPS and present the simplest analytical
overlaps and their behavior in a certain limit (of large k). Importantly, we
note that the deformation alters earlier interpretations of the MPS as an
integrable boundary state, seemingly obstructing simplifications of the
overlaps analogous to the compact determinant formula found in the non-deformed
theory. The results are supplemented with some supporting numerical results for
operators of length eight with four excitations.
|
[
{
"created": "Wed, 25 Apr 2018 12:24:54 GMT",
"version": "v1"
}
] |
2018-12-05
|
[
[
"Widen",
"Erik",
""
]
] |
We generalize earlier results on one-point functions in N = 4 SYM with a co-dimension one defect, dual to the D3-D5-brane setup in type IIB string theory on AdS5xS5, to a similar setup in the $\beta$-deformed version of the theory. The treelevel vacuum expectation values of single-trace operators in the two-scalar-subsector are expressed as overlaps between a matrix product state (MPS) and Bethe states in the corresponding twisted spin-chain picture. We comment on the properties of this MPS and present the simplest analytical overlaps and their behavior in a certain limit (of large k). Importantly, we note that the deformation alters earlier interpretations of the MPS as an integrable boundary state, seemingly obstructing simplifications of the overlaps analogous to the compact determinant formula found in the non-deformed theory. The results are supplemented with some supporting numerical results for operators of length eight with four excitations.
|
1407.4361
|
Pierre Teyssandier
|
Pierre Teyssandier
|
New tools for determining the light travel time in static, spherically
symmetric spacetimes beyond the order $G^2$
|
37 pages; published in "Frontiers in Relativistic Celestial
Mechanics", vol. 2, ed. by S. M. Kopeikin, Series "De Gruyter Studies in
Mathematical Physics 22", 2014. arXiv admin note: substantial text overlap
with arXiv:1304.3683
| null | null | null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper is mainly devoted to the determination of the travel time of a
photon as a function of the positions of the emitter and the receiver in a
large class of static, spherically symmetric spacetimes. Such a function -
often called time transfer function - is of crucial interest for testing metric
theories of gravity in the solar system. Until very recently, this function was
known only up to the second order in the Newtonian gravitational constant $G$
for a 3-parameter family of static, spherically symmetric metrics generalizing
the Schwarzschild metric. We present here two procedures enabling to determine
- at least in principle - the time transfer function at any order of
approximation when the components of the metric are expressible in power series
of the Schwarzschild radius of the central body divided by the radial
coordinate. These procedures exclusively work for light rays which may be
described as perturbations in power series in $G$ of a Minkowskian null
geodesic passing through the positions of the emitter and the receiver. It is
shown that the two methodologies lead to the same expression for the time
transfer function up to the third order in $G$. The second procedure presents
the advantage of exclusively needing elementary integrations which may be
performed with any symbolic computer program whatever the order of
approximation. The vector functions characterizing the direction of light
propagation at the points of emission and reception are derived up to the third
order in $G$. The relevance of the third order terms in the time transfer
function is briefly discussed for some solar system experiments.
|
[
{
"created": "Wed, 16 Jul 2014 16:07:02 GMT",
"version": "v1"
}
] |
2014-07-17
|
[
[
"Teyssandier",
"Pierre",
""
]
] |
This paper is mainly devoted to the determination of the travel time of a photon as a function of the positions of the emitter and the receiver in a large class of static, spherically symmetric spacetimes. Such a function - often called time transfer function - is of crucial interest for testing metric theories of gravity in the solar system. Until very recently, this function was known only up to the second order in the Newtonian gravitational constant $G$ for a 3-parameter family of static, spherically symmetric metrics generalizing the Schwarzschild metric. We present here two procedures enabling to determine - at least in principle - the time transfer function at any order of approximation when the components of the metric are expressible in power series of the Schwarzschild radius of the central body divided by the radial coordinate. These procedures exclusively work for light rays which may be described as perturbations in power series in $G$ of a Minkowskian null geodesic passing through the positions of the emitter and the receiver. It is shown that the two methodologies lead to the same expression for the time transfer function up to the third order in $G$. The second procedure presents the advantage of exclusively needing elementary integrations which may be performed with any symbolic computer program whatever the order of approximation. The vector functions characterizing the direction of light propagation at the points of emission and reception are derived up to the third order in $G$. The relevance of the third order terms in the time transfer function is briefly discussed for some solar system experiments.
|
hep-th/0303204
|
Satoshi Nagaoka
|
Koji Hashimoto, Satoshi Nagaoka
|
Recombination of Intersecting D-branes by Local Tachyon Condensation
|
24 pages, 5 figures, JHEP style. references added, minor corrections
|
JHEP 0306:034,2003
|
10.1088/1126-6708/2003/06/034
|
UT-Komaba/03-05
|
hep-th hep-ph
| null |
We provide a simple low energy description of recombination of intersecting
D-branes using super Yang-Mills theory. The recombination is realized by
condensation of an off-diagonal tachyonic fluctuation localized at the
intersecting point. The recombination process is equivalent to brane-antibrane
annihilation, thus our result confirms Sen's conjecture on tachyon
condensation, although we work in the super Yang-Mills theory whose energy
scale is much lower than alpha'. We also discuss the decay width of
non-parallelly separated D-branes.
|
[
{
"created": "Mon, 24 Mar 2003 12:31:36 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Apr 2003 09:06:17 GMT",
"version": "v2"
},
{
"created": "Wed, 2 Apr 2003 10:19:04 GMT",
"version": "v3"
},
{
"created": "Fri, 1 Aug 2003 05:36:50 GMT",
"version": "v4"
}
] |
2011-07-19
|
[
[
"Hashimoto",
"Koji",
""
],
[
"Nagaoka",
"Satoshi",
""
]
] |
We provide a simple low energy description of recombination of intersecting D-branes using super Yang-Mills theory. The recombination is realized by condensation of an off-diagonal tachyonic fluctuation localized at the intersecting point. The recombination process is equivalent to brane-antibrane annihilation, thus our result confirms Sen's conjecture on tachyon condensation, although we work in the super Yang-Mills theory whose energy scale is much lower than alpha'. We also discuss the decay width of non-parallelly separated D-branes.
|
1507.00183
|
Bin Chen
|
Bin Chen, Jie-qiang Wu and Ze-chuan Zheng
|
Holographic R\'enyi Entropy of Single Interval on Torus: with W symmetry
|
14 pages
|
Phys. Rev. D 92, 066002 (2015)
|
10.1103/PhysRevD.92.066002
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we extend our study of the holographic R\'enyi entropy of
single interval on a torus to the CFT with W symmetry. To read the possible
corrections from W fields clearly, we compute the thermal correction to the
R\'enyi entropy up to the order $e^{-8\pi /TL}$. In the field theory, this
requires us to compute the contribution from all the level 4 states, from both
the vacuum module and W primaries. On the gravity side, after computing the
eigenvalue of single Schottky generators to the order $e^{-4 \pi/TL}$, we
obtain the 1-loop quantum correction to the holographic R\'enyi entropy. We
find complete agreement between the bulk and boundary theories.
|
[
{
"created": "Wed, 1 Jul 2015 11:03:25 GMT",
"version": "v1"
}
] |
2015-09-09
|
[
[
"Chen",
"Bin",
""
],
[
"Wu",
"Jie-qiang",
""
],
[
"Zheng",
"Ze-chuan",
""
]
] |
In this paper, we extend our study of the holographic R\'enyi entropy of single interval on a torus to the CFT with W symmetry. To read the possible corrections from W fields clearly, we compute the thermal correction to the R\'enyi entropy up to the order $e^{-8\pi /TL}$. In the field theory, this requires us to compute the contribution from all the level 4 states, from both the vacuum module and W primaries. On the gravity side, after computing the eigenvalue of single Schottky generators to the order $e^{-4 \pi/TL}$, we obtain the 1-loop quantum correction to the holographic R\'enyi entropy. We find complete agreement between the bulk and boundary theories.
|
2007.00230
|
Arvin Shahbazi-Moghaddam
|
Raphael Bousso, Venkatesa Chandrasekaran, Pratik Rath, Arvin
Shahbazi-Moghaddam
|
Gravity Dual of Connes Cocycle Flow
|
43 pages, 7 figures
|
Phys. Rev. D 102, 066008 (2020)
|
10.1103/PhysRevD.102.066008
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We define the "kink transform" as a one-sided boost of bulk initial data
about the Ryu-Takayanagi surface of a boundary cut. For a flat cut, we
conjecture that the resulting Wheeler-DeWitt patch is the bulk dual to the
boundary state obtained by Connes cocycle (CC) flow across the cut. The bulk
patch is glued to a precursor slice related to the original boundary slice by a
one-sided boost. This evades ultraviolet divergences and distinguishes our
construction from one-sided modular flow. We verify that the kink transform is
consistent with known properties of operator expectation values and subregion
entropies under CC flow. CC flow generates a stress tensor shock at the cut,
controlled by a shape derivative of the entropy; the kink transform reproduces
this shock holographically by creating a bulk Weyl tensor shock. We also go
beyond known properties of CC flow by deriving novel shock components from the
kink transform.
|
[
{
"created": "Wed, 1 Jul 2020 04:30:38 GMT",
"version": "v1"
}
] |
2020-09-30
|
[
[
"Bousso",
"Raphael",
""
],
[
"Chandrasekaran",
"Venkatesa",
""
],
[
"Rath",
"Pratik",
""
],
[
"Shahbazi-Moghaddam",
"Arvin",
""
]
] |
We define the "kink transform" as a one-sided boost of bulk initial data about the Ryu-Takayanagi surface of a boundary cut. For a flat cut, we conjecture that the resulting Wheeler-DeWitt patch is the bulk dual to the boundary state obtained by Connes cocycle (CC) flow across the cut. The bulk patch is glued to a precursor slice related to the original boundary slice by a one-sided boost. This evades ultraviolet divergences and distinguishes our construction from one-sided modular flow. We verify that the kink transform is consistent with known properties of operator expectation values and subregion entropies under CC flow. CC flow generates a stress tensor shock at the cut, controlled by a shape derivative of the entropy; the kink transform reproduces this shock holographically by creating a bulk Weyl tensor shock. We also go beyond known properties of CC flow by deriving novel shock components from the kink transform.
|
0912.4282
|
Massimo Siani
|
Marco S. Bianchi, Silvia Penati, Massimo Siani
|
Infrared Stability of N=2 Chern-Simons Matter Theories
|
1+30 pages, 8 figures; v2: references added
|
JHEP 1005:106,2010
|
10.1007/JHEP05(2010)106
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
According to the AdS4/CFT3 correspondence, N=2 supersymmetric Chern-Simons
matter theories should have a stable fixed point in the infrared. In order to
support this prediction we study RG flows of two-level Chern-Simons matter
theories with/without flavors induced by the most general marginal
superpotential compatible with N=2 supersymmetry. At two loops we determine the
complete spectrum of fixed points and study their IR stability. Our analysis
covers a large class of models including perturbations of the ABJM/ABJ theories
with and without flavors, N=2,3 theories with different CS levels corresponding
to turning on a Romans mass and beta-deformations. In all cases we find curves
(or surfaces) of fixed points which are globally IR stable but locally unstable
in the following sense: The system has only one direction of stability which in
the ABJM case coincides with the maximal global symmetry preserving
perturbation, whereas along any other direction it flows to a different fixed
point on the surface. The question of conformal invariance vs. finiteness is
also addressed: While in general vanishing beta-functions imply two-loop
finiteness, we find a particular set of flavored theories where this is no
longer true.
|
[
{
"created": "Tue, 22 Dec 2009 13:48:31 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Feb 2010 10:01:56 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"Bianchi",
"Marco S.",
""
],
[
"Penati",
"Silvia",
""
],
[
"Siani",
"Massimo",
""
]
] |
According to the AdS4/CFT3 correspondence, N=2 supersymmetric Chern-Simons matter theories should have a stable fixed point in the infrared. In order to support this prediction we study RG flows of two-level Chern-Simons matter theories with/without flavors induced by the most general marginal superpotential compatible with N=2 supersymmetry. At two loops we determine the complete spectrum of fixed points and study their IR stability. Our analysis covers a large class of models including perturbations of the ABJM/ABJ theories with and without flavors, N=2,3 theories with different CS levels corresponding to turning on a Romans mass and beta-deformations. In all cases we find curves (or surfaces) of fixed points which are globally IR stable but locally unstable in the following sense: The system has only one direction of stability which in the ABJM case coincides with the maximal global symmetry preserving perturbation, whereas along any other direction it flows to a different fixed point on the surface. The question of conformal invariance vs. finiteness is also addressed: While in general vanishing beta-functions imply two-loop finiteness, we find a particular set of flavored theories where this is no longer true.
|
2202.08563
|
Jochen Zahn
|
Christoph Giese and Jochen Zahn
|
Dynamics of spherical charged dust shells in de Sitter space
|
16 page2; v2 final version
|
Physical Review D 106 (2022) 064005
|
10.1103/PhysRevD.106.064005
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the dynamics of charged, spherically symmetric dust shells in the
presence of a positive cosmological constant. We find generalizations of the
well-known solutions in asymptotically flat spacetime, in particular orbits
into "parallel universes", but also new solutions corresponding to a "bounce"
of the shell before an event horizon has formed. We also discuss "bubble"
solutions, in which a charged shell and an oppositely charged singularity are
spontaneously created and annihilated.
|
[
{
"created": "Thu, 17 Feb 2022 10:14:19 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Sep 2022 07:43:59 GMT",
"version": "v2"
}
] |
2022-09-07
|
[
[
"Giese",
"Christoph",
""
],
[
"Zahn",
"Jochen",
""
]
] |
We study the dynamics of charged, spherically symmetric dust shells in the presence of a positive cosmological constant. We find generalizations of the well-known solutions in asymptotically flat spacetime, in particular orbits into "parallel universes", but also new solutions corresponding to a "bounce" of the shell before an event horizon has formed. We also discuss "bubble" solutions, in which a charged shell and an oppositely charged singularity are spontaneously created and annihilated.
|
1905.01062
|
Ryotaku Suzuki
|
Roberto Emparan, Ryotaku Suzuki
|
Topology-changing horizons at large D as Ricci flows
|
34 pages, 7 figures; v2: minor corrections, refs added; v3: minor
corrections, some comments added
|
JHEP 07 (2019) 094
|
10.1007/JHEP07(2019)094
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The topology-changing transition between black strings and black holes
localized in a Kaluza-Klein circle is investigated in an expansion in the
inverse of the number of dimensions D. Performing a new kind of large-D scaling
reduces the problem to a Ricci flow of the near-horizon geometry as it varies
along the circle direction. The flows of interest here simplify to a non-linear
logarithmic diffusion equation, with solutions known in the literature which
are interpreted as the smoothed conifold geometries involved in the transition,
namely, split and fused cones, which connect to black holes and non-uniform
black strings away from the conical region. Our study demonstrates the
adaptability of the 1/D expansion to deal with all the regimes and aspects of
the static black hole/black string system, and provides another instance of the
manner in which the large D limit reduces the task of solving Einstein's
equations to a simpler but compelling mathematical problem.
|
[
{
"created": "Fri, 3 May 2019 08:06:14 GMT",
"version": "v1"
},
{
"created": "Tue, 14 May 2019 13:54:15 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Jul 2019 14:40:21 GMT",
"version": "v3"
}
] |
2022-03-07
|
[
[
"Emparan",
"Roberto",
""
],
[
"Suzuki",
"Ryotaku",
""
]
] |
The topology-changing transition between black strings and black holes localized in a Kaluza-Klein circle is investigated in an expansion in the inverse of the number of dimensions D. Performing a new kind of large-D scaling reduces the problem to a Ricci flow of the near-horizon geometry as it varies along the circle direction. The flows of interest here simplify to a non-linear logarithmic diffusion equation, with solutions known in the literature which are interpreted as the smoothed conifold geometries involved in the transition, namely, split and fused cones, which connect to black holes and non-uniform black strings away from the conical region. Our study demonstrates the adaptability of the 1/D expansion to deal with all the regimes and aspects of the static black hole/black string system, and provides another instance of the manner in which the large D limit reduces the task of solving Einstein's equations to a simpler but compelling mathematical problem.
|
0801.3701
|
R. Loganayagam
|
R. Loganayagam
|
Entropy Current in Conformal Hydrodynamics
|
LaTeX, 26 pages, fixed typos
|
JHEP 0805:087,2008.
|
10.1088/1126-6708/2008/05/087
|
TIFR/TH/08-05
|
hep-th
| null |
In recent work (arXiv:0712.2456, arXiv:0712.2451) the energy-momentum tensor
for the N=4 SYM fluid was computed up to second derivative terms using
holographic methods. The aim of this note is to propose an entropy current
(accurate up to second derivative terms) consistent with this energy-momentum
tensor and to explicate its relation with the existing theories of relativistic
hydrodynamics. In order to achieve this, we first develop a Weyl-covariant
formalism which simplifies the study of conformal hydrodynamics. This naturally
leads us to a proposal for the entropy current of an arbitrary conformal fluid
in any spacetime (with d>3). In particular, this proposal translates into a
definite expression for the entropy flux in the case of N=4 SYM fluid. We
conclude this note by comparing the formalism presented here with the
conventional Israel-Stewart formalism.
|
[
{
"created": "Thu, 24 Jan 2008 04:20:02 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Apr 2008 23:01:44 GMT",
"version": "v2"
}
] |
2008-05-30
|
[
[
"Loganayagam",
"R.",
""
]
] |
In recent work (arXiv:0712.2456, arXiv:0712.2451) the energy-momentum tensor for the N=4 SYM fluid was computed up to second derivative terms using holographic methods. The aim of this note is to propose an entropy current (accurate up to second derivative terms) consistent with this energy-momentum tensor and to explicate its relation with the existing theories of relativistic hydrodynamics. In order to achieve this, we first develop a Weyl-covariant formalism which simplifies the study of conformal hydrodynamics. This naturally leads us to a proposal for the entropy current of an arbitrary conformal fluid in any spacetime (with d>3). In particular, this proposal translates into a definite expression for the entropy flux in the case of N=4 SYM fluid. We conclude this note by comparing the formalism presented here with the conventional Israel-Stewart formalism.
|
hep-th/9712117
|
Ofer Aharony
|
O. Aharony, M. Berkooz and N. Seiberg
|
Light-Cone Description of (2,0) Superconformal Theories in Six
Dimensions
|
harvmac, 36 pages, v2 : references added
|
Adv.Theor.Math.Phys.2:119-153,1998
| null |
IASSNS-HEP-97/126,RU-97-93
|
hep-th
| null |
We study the (2,0) superconformal theories in six dimensions, which arise
from the low-energy limit of k coincident 5-branes, using their discrete
light-cone formulation as a superconformal quantum mechanical sigma model. We
analyze the realization of the superconformal symmetry in the quantum
mechanics, and the realization of primary operators. As an example we compute
the spectrum of chiral primary states in symmetric Spin(5)_R representations.
To facilitate the analysis we introduce and briefly discuss a new class of
Lorentz non-invariant theories, which flow in the IR to the (2,0)
superconformal field theories but differ from them in the UV.
|
[
{
"created": "Thu, 11 Dec 1997 22:25:07 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Dec 1997 20:37:30 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Aharony",
"O.",
""
],
[
"Berkooz",
"M.",
""
],
[
"Seiberg",
"N.",
""
]
] |
We study the (2,0) superconformal theories in six dimensions, which arise from the low-energy limit of k coincident 5-branes, using their discrete light-cone formulation as a superconformal quantum mechanical sigma model. We analyze the realization of the superconformal symmetry in the quantum mechanics, and the realization of primary operators. As an example we compute the spectrum of chiral primary states in symmetric Spin(5)_R representations. To facilitate the analysis we introduce and briefly discuss a new class of Lorentz non-invariant theories, which flow in the IR to the (2,0) superconformal field theories but differ from them in the UV.
|
1001.5301
|
Kewang Jin
|
Antal Jevicki, Kewang Jin
|
AdS String: Classical Solutions and Moduli Dynamics
|
15 pages, no figures, contribution to the Proceedings of Tenth
workshop on QCD, Paris, June 2009
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review some recent work and techniques for constructing dynamical string
solutions in AdS spacetime. These solutions generalize the folded string and
multi-spike solutions of GKP and Kruczenski. The methods developed for
constructing these dynamical solutions are based on Pohlmeyer reduction to
integrable sinh-Gordon type equations. The integrability of the equations is
seen as the crucial tool for reconstruction of the string configurations. We
discuss the physical meaning of these dynamical spike solutions and the
question of their moduli space.
|
[
{
"created": "Fri, 29 Jan 2010 20:39:43 GMT",
"version": "v1"
}
] |
2010-02-01
|
[
[
"Jevicki",
"Antal",
""
],
[
"Jin",
"Kewang",
""
]
] |
We review some recent work and techniques for constructing dynamical string solutions in AdS spacetime. These solutions generalize the folded string and multi-spike solutions of GKP and Kruczenski. The methods developed for constructing these dynamical solutions are based on Pohlmeyer reduction to integrable sinh-Gordon type equations. The integrability of the equations is seen as the crucial tool for reconstruction of the string configurations. We discuss the physical meaning of these dynamical spike solutions and the question of their moduli space.
|
1803.06946
|
Gauranga Samanta
|
Koijam Manihar Singh, Gauranga C. Samanta
|
Dark energy and its manifestations
|
13 pages, 6 figures, Accepted in New Astronomy. arXiv admin note:
text overlap with arXiv:1701.00748 by other authors
| null | null | null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a four dimensional manifold formalism we study the evolutionary behavior
as well as the ultimate fate of the universe, in the course of which the
contribution of dark energy in these phases are investigated. At one stage we
get a situation (a condition) where the dark energy contained dominates other
types of energies available in this universe. In the model universes we obtain
here the dark energy is found to be of $\Lambda$CDM and quintessence
types-which bear testimony to being real universes. In one of the cases where
the equation of state between the fluid pressure and density is of the type of
the van der Waals equation, it is found that our universe may end in dust. And,
also, it is seen that the behavior of the deceleration parameter is almost
compatible with the recent observation.
|
[
{
"created": "Mon, 19 Mar 2018 14:18:27 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Apr 2018 14:08:10 GMT",
"version": "v2"
},
{
"created": "Sat, 10 Nov 2018 13:50:10 GMT",
"version": "v3"
}
] |
2018-11-13
|
[
[
"Singh",
"Koijam Manihar",
""
],
[
"Samanta",
"Gauranga C.",
""
]
] |
In a four dimensional manifold formalism we study the evolutionary behavior as well as the ultimate fate of the universe, in the course of which the contribution of dark energy in these phases are investigated. At one stage we get a situation (a condition) where the dark energy contained dominates other types of energies available in this universe. In the model universes we obtain here the dark energy is found to be of $\Lambda$CDM and quintessence types-which bear testimony to being real universes. In one of the cases where the equation of state between the fluid pressure and density is of the type of the van der Waals equation, it is found that our universe may end in dust. And, also, it is seen that the behavior of the deceleration parameter is almost compatible with the recent observation.
|
1602.08220
|
Crucean Cosmin
|
Cosmin Crucean and Mihaela-Andreea Baloi
|
Fermion production in a magnetic field in a de Sitter Universe
|
28 pages, 20 figures
|
Phys. Rev. D 93, 044070 (2016)
|
10.1103/PhysRevD.93.044070
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The process of fermion production in the field of a magnetic dipole on a de
Sitter expanding universe is analyzed. The amplitude and probability for
production of massive fermions are obtained using the exact solution of the
Dirac equation written in the momentum-helicity basis. We found that the most
probable transitions are those that generate the fermion pair perpendicular to
the direction of the magnetic field. The behavior of the probability is
graphically studied for large/small values of the expansion factor, and a
detailed analysis of the probability in terms of the angle between the momenta
vectors of the particle and antiparticle is performed. The phenomenon of
fermion production is significant only at large expansion which corresponds to
the conditions from the early Universe. When the expansion factor vanishes we
recover the Minkowski limit where this process is forbidden by the simultaneous
energy-momentum conservation.
|
[
{
"created": "Fri, 26 Feb 2016 07:23:37 GMT",
"version": "v1"
}
] |
2016-02-29
|
[
[
"Crucean",
"Cosmin",
""
],
[
"Baloi",
"Mihaela-Andreea",
""
]
] |
The process of fermion production in the field of a magnetic dipole on a de Sitter expanding universe is analyzed. The amplitude and probability for production of massive fermions are obtained using the exact solution of the Dirac equation written in the momentum-helicity basis. We found that the most probable transitions are those that generate the fermion pair perpendicular to the direction of the magnetic field. The behavior of the probability is graphically studied for large/small values of the expansion factor, and a detailed analysis of the probability in terms of the angle between the momenta vectors of the particle and antiparticle is performed. The phenomenon of fermion production is significant only at large expansion which corresponds to the conditions from the early Universe. When the expansion factor vanishes we recover the Minkowski limit where this process is forbidden by the simultaneous energy-momentum conservation.
|
gr-qc/9406033
| null |
Sean A. Hayward
|
Spin-Coefficient Form of the New Laws of Black-Hole Dynamics
|
9 pages
|
Class.Quant.Grav.11:3025-3036,1994
|
10.1088/0264-9381/11/12/016
| null |
gr-qc
| null |
General laws of black-hole dynamics, some of which are analogous to the laws
of thermodynamics, have recently been found for a general definition of black
hole in terms of a future outer trapping horizon, a hypersurface foliated by
marginal surfaces of a certain type. This theory is translated here into
spin-coefficient language. Second law: the area form of a future outer trapping
horizon is generically increasing, otherwise constant. First law: the rate of
change of the area form is given by an energy flux and the trapping gravity.
Zeroth law: the total trapping gravity of a compact outer marginal surface has
an upper bound, attained if and only if the trapping gravity is constant.
Topology law: a compact future outer marginal surface has spherical topology.
Signature law: an outer trapping horizon is generically spatial, otherwise
null. Trapping law: spatial surfaces sufficiently close to a compact future
outer marginal surface are trapped if they lie inside the trapping horizon.
Confinement law: if the interior and exterior of a future outer trapping
horizon are disjoint, an observer inside the horizon cannot get outside.
|
[
{
"created": "Tue, 21 Jun 1994 07:35:09 GMT",
"version": "v1"
}
] |
2010-04-06
|
[
[
"Hayward",
"Sean A.",
""
]
] |
General laws of black-hole dynamics, some of which are analogous to the laws of thermodynamics, have recently been found for a general definition of black hole in terms of a future outer trapping horizon, a hypersurface foliated by marginal surfaces of a certain type. This theory is translated here into spin-coefficient language. Second law: the area form of a future outer trapping horizon is generically increasing, otherwise constant. First law: the rate of change of the area form is given by an energy flux and the trapping gravity. Zeroth law: the total trapping gravity of a compact outer marginal surface has an upper bound, attained if and only if the trapping gravity is constant. Topology law: a compact future outer marginal surface has spherical topology. Signature law: an outer trapping horizon is generically spatial, otherwise null. Trapping law: spatial surfaces sufficiently close to a compact future outer marginal surface are trapped if they lie inside the trapping horizon. Confinement law: if the interior and exterior of a future outer trapping horizon are disjoint, an observer inside the horizon cannot get outside.
|
2109.14826
|
Elias C. Vagenas
|
S. Aghababaei, H. Moradpour, Elias C. Vagenas
|
Hubble tension bounds the GUP and EUP parameters
|
5 pages, no figures, to appear in Eur.Phys.J.Plus
|
Eur. Phys. J. Plus 136, 997 (2021)
|
10.1140/epjp/s13360-021-02007-5
| null |
gr-qc hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In recent years the discrepancy in the value of the Hubble parameter has been
growing. Recently, there are works supporting the proposal that the uncertainty
principles can solve the Hubble tension. Motivated by this proposal, we work
with an isotropic and homogeneous FRW universe, obtain its Hamiltonian
equations, and thus, the Hubble parameter through the first Friedmann equation.
In the context of GUP and EUP models, the Hubble parameter is modified. Since
the fingerprints of quantum gravity are imprinted on the CMB, we consider the
GUP/EUP-modified Hubble parameter in the first Friedmann equation to be the one
measured by the Planck collaboration which uses the CMB data. The unmodified
Hubble parameter in the first Friedmann equation is considered to be the one
measured by the HST group which uses the SNeIa data. Therefore, upper bounds
for the dimensionless parameters of GUP and EUP are obtained.
|
[
{
"created": "Thu, 30 Sep 2021 03:17:17 GMT",
"version": "v1"
}
] |
2021-10-07
|
[
[
"Aghababaei",
"S.",
""
],
[
"Moradpour",
"H.",
""
],
[
"Vagenas",
"Elias C.",
""
]
] |
In recent years the discrepancy in the value of the Hubble parameter has been growing. Recently, there are works supporting the proposal that the uncertainty principles can solve the Hubble tension. Motivated by this proposal, we work with an isotropic and homogeneous FRW universe, obtain its Hamiltonian equations, and thus, the Hubble parameter through the first Friedmann equation. In the context of GUP and EUP models, the Hubble parameter is modified. Since the fingerprints of quantum gravity are imprinted on the CMB, we consider the GUP/EUP-modified Hubble parameter in the first Friedmann equation to be the one measured by the Planck collaboration which uses the CMB data. The unmodified Hubble parameter in the first Friedmann equation is considered to be the one measured by the HST group which uses the SNeIa data. Therefore, upper bounds for the dimensionless parameters of GUP and EUP are obtained.
|
gr-qc/9510019
|
Kiyoshi Ezawa
|
Kiyoshi Ezawa
|
Multi-plaquette solutions for discretized Ashtekar gravity
|
11 pages Latex (2 figures available as a postscript file, the rough
discussion on the non-normalizability has been made exact. )
|
Mod.Phys.Lett. A11 (1996) 349-356
|
10.1142/S0217732396000394
|
OU-HET/223
|
gr-qc
| null |
A discretized version of canonical quantum gravity proposed by Loll is
investigated. After slightly modifying Loll's discretized Hamiltonian
constraint, we encode its action on the spin network states in terms of
combinatorial topological manipulations of the lattice loops. Using this
topological formulation we find new solutions to the discretized Wheeler-Dewitt
equation. These solutions have their support on the connected set of
plaquettes. We also show that these solutions are not normalizable with respect
to the induced heat-kernel measure on $SL(2,{\bf C})$ gauge theories.
|
[
{
"created": "Wed, 11 Oct 1995 03:33:43 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Oct 1995 13:19:46 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Ezawa",
"Kiyoshi",
""
]
] |
A discretized version of canonical quantum gravity proposed by Loll is investigated. After slightly modifying Loll's discretized Hamiltonian constraint, we encode its action on the spin network states in terms of combinatorial topological manipulations of the lattice loops. Using this topological formulation we find new solutions to the discretized Wheeler-Dewitt equation. These solutions have their support on the connected set of plaquettes. We also show that these solutions are not normalizable with respect to the induced heat-kernel measure on $SL(2,{\bf C})$ gauge theories.
|
hep-th/9304112
|
Rodolfo
|
R.Cuerno and A. Gonz\'alez--Ruiz
|
Free Fermionic Elliptic Reflection Matrices and Quantum Group Invariance
|
9 pages, Latex
|
J.Phys. A26 (1993) L605-L610
|
10.1088/0305-4470/26/14/003
|
IMAFF 93/11 and LPTHE-PAR 93/21
|
hep-th cond-mat nlin.SI solv-int
| null |
Elliptic diagonal solutions for the reflection matrices associated to the
elliptic $R$ matrix of the eight vertex free fermion model are presented. They
lead through the second derivative of the open chain transfer matrix to an XY
hamiltonian in a magnetic field which is invariant under a quantum deformed
Clifford--Hopf algebra.
|
[
{
"created": "Fri, 23 Apr 1993 14:46:32 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Cuerno",
"R.",
""
],
[
"González--Ruiz",
"A.",
""
]
] |
Elliptic diagonal solutions for the reflection matrices associated to the elliptic $R$ matrix of the eight vertex free fermion model are presented. They lead through the second derivative of the open chain transfer matrix to an XY hamiltonian in a magnetic field which is invariant under a quantum deformed Clifford--Hopf algebra.
|
1505.07679
|
Boris Merzlikin
|
I.L. Buchbinder, B.S. Merzlikin
|
On effective K\"ahler potential in N=2, d=3 SQED
|
1+25 pages, v2: minor corrections; v3: references added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the two-loop effective K\"ahler potential in three-dimensional N=2
supersymmetric electrodynamics with Chern-Simons kinetic term for the gauge
superfield. The effective action is constructed on the base of background field
method with one parametric family of gauges. In such an approach, the quadratic
part of quantum action mixes the gauge and matter quantum superfields yielding
the complications in the computations of the loop supergraphs. To avoid this
obstacle and preserve dependence on the gauge parameter we make a nonlocal
change of quantum matter superfields after which the propagator is
diagonalized, however the new vertices have appeared. We fix the suitable
background and develop the efficient procedure of calculating the two-loop
supergraphs with the new vertices. We compute the divergent and finite parts of
the superfield effective action, find the two-loop effective K\"ahler potential
and show that it does not depend on the gauge parameter.
|
[
{
"created": "Thu, 28 May 2015 13:01:03 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jun 2015 05:19:35 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Jun 2015 09:00:45 GMT",
"version": "v3"
}
] |
2015-06-04
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Merzlikin",
"B. S.",
""
]
] |
We compute the two-loop effective K\"ahler potential in three-dimensional N=2 supersymmetric electrodynamics with Chern-Simons kinetic term for the gauge superfield. The effective action is constructed on the base of background field method with one parametric family of gauges. In such an approach, the quadratic part of quantum action mixes the gauge and matter quantum superfields yielding the complications in the computations of the loop supergraphs. To avoid this obstacle and preserve dependence on the gauge parameter we make a nonlocal change of quantum matter superfields after which the propagator is diagonalized, however the new vertices have appeared. We fix the suitable background and develop the efficient procedure of calculating the two-loop supergraphs with the new vertices. We compute the divergent and finite parts of the superfield effective action, find the two-loop effective K\"ahler potential and show that it does not depend on the gauge parameter.
|
1501.07305
|
Ulrich Jentschura
|
U. D. Jentschura
|
Gravitational Correction to Vacuum Polarization
|
9 pages; RevTeX; typographical errors corrected and references added
|
Phys.Rev.A 91 (2015) 022112
|
10.1103/PhysRevA.91.022112
| null |
gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the gravitational correction to (electronic) vacuum polarization
in the presence of a gravitational background field. The Dirac propagators for
the virtual fermions are modified to include the leading gravitational
correction (potential term) which corresponds to a coordinate-dependent fermion
mass. The mass term is assumed to be uniform over a length scale commensurate
with the virtual electron-positron pair. The on-mass shell renormalization
condition ensures that the gravitational correction vanishes on the mass shell
of the photon, i.e., the speed of light is unaffected by the quantum field
theoretical loop correction, in full agreement with the equivalence principle.
Nontrivial corrections are obtained for off-shell, virtual photons. We compare
our findings to other works on generalized Lorentz transformations and combined
quantum-electrodynamic gravitational corrections to the speed of light which
have recently appeared in the literature.
|
[
{
"created": "Wed, 28 Jan 2015 23:00:37 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Feb 2015 21:39:47 GMT",
"version": "v2"
}
] |
2015-02-19
|
[
[
"Jentschura",
"U. D.",
""
]
] |
We consider the gravitational correction to (electronic) vacuum polarization in the presence of a gravitational background field. The Dirac propagators for the virtual fermions are modified to include the leading gravitational correction (potential term) which corresponds to a coordinate-dependent fermion mass. The mass term is assumed to be uniform over a length scale commensurate with the virtual electron-positron pair. The on-mass shell renormalization condition ensures that the gravitational correction vanishes on the mass shell of the photon, i.e., the speed of light is unaffected by the quantum field theoretical loop correction, in full agreement with the equivalence principle. Nontrivial corrections are obtained for off-shell, virtual photons. We compare our findings to other works on generalized Lorentz transformations and combined quantum-electrodynamic gravitational corrections to the speed of light which have recently appeared in the literature.
|
1603.08509
|
Sung-Sik Lee
|
Sung-Sik Lee
|
Horizon as Critical Phenomenon
|
37 pages, 8 figures; v2) introduction expanded
|
JHEP (2016) 2016: 44
|
10.1007/JHEP09(2016)044
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that renormalization group(RG) flow can be viewed as a gradual wave
function collapse, where a quantum state associated with the action of field
theory evolves toward a final state that describes an IR fixed point. The
process of collapse is described by the radial evolution in the dual
holographic theory. If the theory is in the same phase as the assumed IR fixed
point, the initial state is smoothly projected to the final state. If in a
different phase, the initial state undergoes a phase transition which in turn
gives rise to a horizon in the bulk geometry. We demonstrate the connection
between critical behavior and horizon in an example, by deriving the bulk
metrics that emerge in various phases of the U(N) vector model in the large N
limit based on the holographic dual constructed from quantum RG. The gapped
phase exhibits a geometry that smoothly ends at a finite proper distance in the
radial direction. The geometric distance in the radial direction measures a
complexity : the depth of RG transformation that is needed to project the
generally entangled UV state to a direct product state in the IR. For gapless
states, entanglement persistently spreads out to larger length scales, and the
initial state can not be projected to the direct product state. The obstruction
to smooth projection at charge neutral point manifests itself as the long
throat in the anti-de Sitter space. The Poincare horizon at infinity marks the
critical point which exhibits a divergent length scale in the spread of
entanglement. For the gapless states with non-zero chemical potential, the bulk
space becomes the Lifshitz geometry with the dynamical critical exponent two.
The identification of horizon as critical point may provide an explanation for
the universality of horizon. We also discuss the structure of the bulk tensor
network that emerges from the quantum RG.
|
[
{
"created": "Mon, 28 Mar 2016 19:57:03 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Sep 2016 13:51:53 GMT",
"version": "v2"
}
] |
2016-09-16
|
[
[
"Lee",
"Sung-Sik",
""
]
] |
We show that renormalization group(RG) flow can be viewed as a gradual wave function collapse, where a quantum state associated with the action of field theory evolves toward a final state that describes an IR fixed point. The process of collapse is described by the radial evolution in the dual holographic theory. If the theory is in the same phase as the assumed IR fixed point, the initial state is smoothly projected to the final state. If in a different phase, the initial state undergoes a phase transition which in turn gives rise to a horizon in the bulk geometry. We demonstrate the connection between critical behavior and horizon in an example, by deriving the bulk metrics that emerge in various phases of the U(N) vector model in the large N limit based on the holographic dual constructed from quantum RG. The gapped phase exhibits a geometry that smoothly ends at a finite proper distance in the radial direction. The geometric distance in the radial direction measures a complexity : the depth of RG transformation that is needed to project the generally entangled UV state to a direct product state in the IR. For gapless states, entanglement persistently spreads out to larger length scales, and the initial state can not be projected to the direct product state. The obstruction to smooth projection at charge neutral point manifests itself as the long throat in the anti-de Sitter space. The Poincare horizon at infinity marks the critical point which exhibits a divergent length scale in the spread of entanglement. For the gapless states with non-zero chemical potential, the bulk space becomes the Lifshitz geometry with the dynamical critical exponent two. The identification of horizon as critical point may provide an explanation for the universality of horizon. We also discuss the structure of the bulk tensor network that emerges from the quantum RG.
|
1011.5196
|
Rafael Ferraro
|
Rafael Ferraro, Franco Fiorini
|
The regular cosmic string in Born-Infeld gravity
|
4 pages, submitted to Proceedings of Spanish Relativity Meeting 2010
(ERE2010, Granada, Spain)
|
J.Phys.Conf.Ser.314:012114,2011
|
10.1088/1742-6596/314/1/012114
| null |
gr-qc hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that Born-Infeld gravity --a high energy deformation of Einstein
gravity-- removes the singularities of a cosmic string. The respective vacuum
solution results to be free of conical singularity and closed timelike curves.
The space ends at a minimal circle where the curvature invariants vanish; but
this circle cannot be reached in a finite proper time.
|
[
{
"created": "Tue, 23 Nov 2010 19:08:26 GMT",
"version": "v1"
}
] |
2011-09-30
|
[
[
"Ferraro",
"Rafael",
""
],
[
"Fiorini",
"Franco",
""
]
] |
It is shown that Born-Infeld gravity --a high energy deformation of Einstein gravity-- removes the singularities of a cosmic string. The respective vacuum solution results to be free of conical singularity and closed timelike curves. The space ends at a minimal circle where the curvature invariants vanish; but this circle cannot be reached in a finite proper time.
|
hep-th/0002125
|
Marika Taylor-Robinson
|
Marika Taylor-Robinson (DAMTP, University of Cambridge)
|
More on counterterms in the gravitational action and anomalies
|
18 pages, ReVTeX, references and section added, typos corrected
| null | null | null |
hep-th
| null |
The addition of boundary counterterms to the gravitational action of
asymptotically anti-de Sitter spacetimes permits us to define the partition
function unambiguously without background subtraction. We show that the
inclusion of p-form fields in the gravitational action requires the addition of
further counterterms which we explicitly identify. We also relate logarithmic
divergences in the action dependent on the matter fields to anomalies in the
dual conformal field theories. In particular we find that the anomaly predicted
for the correlator of the stress energy tensor and two vector currents in four
dimensions agrees with that of the ${\cal{N}} = 4$ superconformal SU(N) gauge
theory.
|
[
{
"created": "Tue, 15 Feb 2000 20:20:33 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Feb 2000 17:08:47 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Taylor-Robinson",
"Marika",
"",
"DAMTP, University of Cambridge"
]
] |
The addition of boundary counterterms to the gravitational action of asymptotically anti-de Sitter spacetimes permits us to define the partition function unambiguously without background subtraction. We show that the inclusion of p-form fields in the gravitational action requires the addition of further counterterms which we explicitly identify. We also relate logarithmic divergences in the action dependent on the matter fields to anomalies in the dual conformal field theories. In particular we find that the anomaly predicted for the correlator of the stress energy tensor and two vector currents in four dimensions agrees with that of the ${\cal{N}} = 4$ superconformal SU(N) gauge theory.
|
2212.07089
|
Kohki Kawabata
|
Kohki Kawabata, Tatsuma Nishioka and Takuya Okuda
|
Narain CFTs from qudit stabilizer codes
|
51 pages, 2 figures; v2: typos corrected, published version
| null | null |
OU-HET-1163, UT-Komaba/22-5
|
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a discrete subset of Narain CFTs from quantum stabilizer codes
with qudit (including qubit) systems whose dimension is a prime number. Our
construction exploits three important relations. The first relation is between
qudit stabilizer codes and classical codes. The second is between classical
codes and Lorentzian lattices. The third is between Lorentzian lattices and
Narain CFTs. In particular, we study qudit Calderbank-Shor-Steane (CSS) codes
as a special class of qudit stabilizer codes and the ensembles of the Narain
code CFTs constructed from CSS codes. We obtain exact results for the averaged
partition functions over the ensembles and discuss their implications for
holographic duality.
|
[
{
"created": "Wed, 14 Dec 2022 08:29:08 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Apr 2023 19:25:51 GMT",
"version": "v2"
}
] |
2023-05-01
|
[
[
"Kawabata",
"Kohki",
""
],
[
"Nishioka",
"Tatsuma",
""
],
[
"Okuda",
"Takuya",
""
]
] |
We construct a discrete subset of Narain CFTs from quantum stabilizer codes with qudit (including qubit) systems whose dimension is a prime number. Our construction exploits three important relations. The first relation is between qudit stabilizer codes and classical codes. The second is between classical codes and Lorentzian lattices. The third is between Lorentzian lattices and Narain CFTs. In particular, we study qudit Calderbank-Shor-Steane (CSS) codes as a special class of qudit stabilizer codes and the ensembles of the Narain code CFTs constructed from CSS codes. We obtain exact results for the averaged partition functions over the ensembles and discuss their implications for holographic duality.
|
hep-th/9512078
|
Cumrun Vafa
|
Cumrun Vafa
|
Instantons on D-branes
|
11 pages
|
Nucl.Phys. B463 (1996) 435-442
|
10.1016/0550-3213(96)00075-2
|
HUTP-95/A049
|
hep-th
| null |
We consider type IIA compactification on $K3$. We show that the instanton
subsectors of the worldvolume of $N$ 4-branes wrapped around $K3$ lead to a
Hagedorn density of BPS states in accord with heterotic-type IIA duality in 6
dimensions. We also find evidence that the correct framework to understand the
results of Nakajima on the appearance of affine Kac-Moody algebras on the
cohomology of moduli space of instantons on ALE spaces is in the context of
heterotic-type IIA string duality.
|
[
{
"created": "Mon, 11 Dec 1995 21:17:09 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Vafa",
"Cumrun",
""
]
] |
We consider type IIA compactification on $K3$. We show that the instanton subsectors of the worldvolume of $N$ 4-branes wrapped around $K3$ lead to a Hagedorn density of BPS states in accord with heterotic-type IIA duality in 6 dimensions. We also find evidence that the correct framework to understand the results of Nakajima on the appearance of affine Kac-Moody algebras on the cohomology of moduli space of instantons on ALE spaces is in the context of heterotic-type IIA string duality.
|
2104.06631
|
Kai Lin
|
Kai Lin, Yang-Yi Sun and Hongsheng Zhang
|
Quasinormal Modes for Dynamical Black Holes
| null |
Phys.Rev.D 103, 084015 (2021)
|
10.1103/PhysRevD.103.084015
| null |
gr-qc
|
http://creativecommons.org/licenses/by-nc-sa/4.0/
|
Realistic black holes are usually dynamical, noticeable or sluggish. The
Vaidya metric is a significant and tractable model for simulating a dynamical
black hole. In this study, we consider scalar perturbations in a dynamical
Vaidya black hole, and explore the quasinormal modes by employing the matrix
method. We find the proper boundary conditions of the quasinormal modes from
physical analysis in the background of a dynamical black hole for the first
time. The results show that the eigenfrequencies become different at the
apparent horizon and null infinity, because the physical interactions propagate
with finite velocity in nature. Any variation of the hole does not affect the
boundary condition at null infinity in a finite time. The quasinormal modes
originated around the horizon would not immediately come down to, but slowly
goes to the final state following the mass accretion process of the hole. The
precision of the matrix method is quite compelling, which reveals more details
of the eigenfrequencies of the quasinormal mode of perturbations in the Vaidya
spacetime.
|
[
{
"created": "Wed, 14 Apr 2021 05:23:48 GMT",
"version": "v1"
}
] |
2021-04-15
|
[
[
"Lin",
"Kai",
""
],
[
"Sun",
"Yang-Yi",
""
],
[
"Zhang",
"Hongsheng",
""
]
] |
Realistic black holes are usually dynamical, noticeable or sluggish. The Vaidya metric is a significant and tractable model for simulating a dynamical black hole. In this study, we consider scalar perturbations in a dynamical Vaidya black hole, and explore the quasinormal modes by employing the matrix method. We find the proper boundary conditions of the quasinormal modes from physical analysis in the background of a dynamical black hole for the first time. The results show that the eigenfrequencies become different at the apparent horizon and null infinity, because the physical interactions propagate with finite velocity in nature. Any variation of the hole does not affect the boundary condition at null infinity in a finite time. The quasinormal modes originated around the horizon would not immediately come down to, but slowly goes to the final state following the mass accretion process of the hole. The precision of the matrix method is quite compelling, which reveals more details of the eigenfrequencies of the quasinormal mode of perturbations in the Vaidya spacetime.
|
1101.3329
|
Matthew Lippert
|
Niko Jokela, Matti Jarvinen, and Matthew Lippert
|
A holographic quantum Hall model at integer filling
|
25 pages, 9 figures; v2 improved analysis of the phase structure
including a new figure, references added; v3 sign error in eqn. (12)
corrected
|
JHEP 1105 (2011) 101
|
10.1007/JHEP05(2011)101
|
CCTP-2011-01
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a holographic model of a system of strongly-coupled fermions in
2+1 dimensions based on a D8-brane probe in the background of D2-branes. The
Minkowski embeddings of the D8-brane represent gapped quantum Hall states with
filling fraction one. By computing the conductivity and phase structure, we
find results qualitatively similar to the experimental observations and also to
the recent D3-D7' model.
|
[
{
"created": "Mon, 17 Jan 2011 21:05:42 GMT",
"version": "v1"
},
{
"created": "Thu, 19 May 2011 14:53:08 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Aug 2011 15:04:50 GMT",
"version": "v3"
}
] |
2011-08-30
|
[
[
"Jokela",
"Niko",
""
],
[
"Jarvinen",
"Matti",
""
],
[
"Lippert",
"Matthew",
""
]
] |
We construct a holographic model of a system of strongly-coupled fermions in 2+1 dimensions based on a D8-brane probe in the background of D2-branes. The Minkowski embeddings of the D8-brane represent gapped quantum Hall states with filling fraction one. By computing the conductivity and phase structure, we find results qualitatively similar to the experimental observations and also to the recent D3-D7' model.
|
1710.01327
|
Ren\'e Meyer
|
Raimond Abt, Johanna Erdmenger, Haye Hinrichsen, Charles M.
Melby-Thompson, Rene Meyer, Christian Northe, Ignacio A. Reyes
|
Topological Complexity in AdS3/CFT2
|
12 pages, 14 figures, comments welcome, v2: references added, slight
clarifications, matches version accepted by journal
| null |
10.1002/prop.201800034
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider subregion complexity within the AdS3/CFT2 correspondence. We
rewrite the volume proposal, according to which the complexity of a reduced
density matrix is given by the spacetime volume contained inside the associated
Ryu-Takayanagi (RT) surface, in terms of an integral over the curvature. Using
the Gauss-Bonnet theorem we evaluate this quantity for general entangling
regions and temperature. In particular, we find that the discontinuity that
occurs under a change in the RT surface is given by a fixed topological
contribution, independent of the temperature or details of the entangling
region. We offer a definition and interpretation of subregion complexity in the
context of tensor networks, and show numerically that it reproduces the
qualitative features of the holographic computation in the case of a random
tensor network using its relation to the Ising model. Finally, we give a
prescription for computing subregion complexity directly in CFT using the
kinematic space formalism, and use it to reproduce some of our explicit gravity
results obtained at zero temperature. We thus obtain a concrete matching of
results for subregion complexity between the gravity and tensor network
approaches, as well as a CFT prescription.
|
[
{
"created": "Tue, 3 Oct 2017 18:13:26 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Jun 2018 16:23:23 GMT",
"version": "v2"
}
] |
2018-08-01
|
[
[
"Abt",
"Raimond",
""
],
[
"Erdmenger",
"Johanna",
""
],
[
"Hinrichsen",
"Haye",
""
],
[
"Melby-Thompson",
"Charles M.",
""
],
[
"Meyer",
"Rene",
""
],
[
"Northe",
"Christian",
""
],
[
"Reyes",
"Ignacio A.",
""
]
] |
We consider subregion complexity within the AdS3/CFT2 correspondence. We rewrite the volume proposal, according to which the complexity of a reduced density matrix is given by the spacetime volume contained inside the associated Ryu-Takayanagi (RT) surface, in terms of an integral over the curvature. Using the Gauss-Bonnet theorem we evaluate this quantity for general entangling regions and temperature. In particular, we find that the discontinuity that occurs under a change in the RT surface is given by a fixed topological contribution, independent of the temperature or details of the entangling region. We offer a definition and interpretation of subregion complexity in the context of tensor networks, and show numerically that it reproduces the qualitative features of the holographic computation in the case of a random tensor network using its relation to the Ising model. Finally, we give a prescription for computing subregion complexity directly in CFT using the kinematic space formalism, and use it to reproduce some of our explicit gravity results obtained at zero temperature. We thus obtain a concrete matching of results for subregion complexity between the gravity and tensor network approaches, as well as a CFT prescription.
|
2304.04790
|
Sylvain Lacroix
|
Sylvain Lacroix
|
On a class of conformal $\mathcal{E}$-models and their chiral Poisson
algebras
|
v3: References added, 68+10 pages
|
JHEP 06 (2023) 045
|
10.1007/JHEP06(2023)045
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we study conformal points among the class of
$\mathcal{E}$-models. The latter are $\sigma$-models formulated in terms of a
current Poisson algebra, whose Lie-theoretic definition allows for a purely
algebraic description of their dynamics and their 1-loop RG-flow. We use these
results to formulate a simple algebraic condition on the defining data of such
a model which ensures its 1-loop conformal invariance and the decoupling of its
observables into two chiral Poisson algebras, describing the classical left-
and right-moving fields of the theory. In the case of so-called non-degenerate
$\mathcal{E}$-models, these chiral sectors form two current algebras and the
model takes the form of a WZW theory once realised as a $\sigma$-model. The
case of degenerate $\mathcal{E}$-models, in which a subalgebra of the current
algebra is gauged, is more involved: the conformal condition yields a wider
class of theories, which includes gauged WZW models but also other examples,
seemingly different, which however sometimes turn out to be related to gauged
WZW models based on other Lie algebras. For this class, we build non-local
chiral fields of parafermionic-type as well as higher-spin local ones, forming
classical $\mathcal{W}$-algebras. In particular, we find an explicit and
efficient algorithm to build these local chiral fields. These results (and
their potential generalisations discussed at the end of the paper) open the way
for the quantisation of a large class of conformal $\mathcal{E}$-models using
the standard operator formalism of two-dimensional CFT.
|
[
{
"created": "Mon, 10 Apr 2023 18:00:07 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jun 2023 08:55:20 GMT",
"version": "v2"
},
{
"created": "Wed, 30 Aug 2023 10:12:21 GMT",
"version": "v3"
}
] |
2023-08-31
|
[
[
"Lacroix",
"Sylvain",
""
]
] |
In this paper, we study conformal points among the class of $\mathcal{E}$-models. The latter are $\sigma$-models formulated in terms of a current Poisson algebra, whose Lie-theoretic definition allows for a purely algebraic description of their dynamics and their 1-loop RG-flow. We use these results to formulate a simple algebraic condition on the defining data of such a model which ensures its 1-loop conformal invariance and the decoupling of its observables into two chiral Poisson algebras, describing the classical left- and right-moving fields of the theory. In the case of so-called non-degenerate $\mathcal{E}$-models, these chiral sectors form two current algebras and the model takes the form of a WZW theory once realised as a $\sigma$-model. The case of degenerate $\mathcal{E}$-models, in which a subalgebra of the current algebra is gauged, is more involved: the conformal condition yields a wider class of theories, which includes gauged WZW models but also other examples, seemingly different, which however sometimes turn out to be related to gauged WZW models based on other Lie algebras. For this class, we build non-local chiral fields of parafermionic-type as well as higher-spin local ones, forming classical $\mathcal{W}$-algebras. In particular, we find an explicit and efficient algorithm to build these local chiral fields. These results (and their potential generalisations discussed at the end of the paper) open the way for the quantisation of a large class of conformal $\mathcal{E}$-models using the standard operator formalism of two-dimensional CFT.
|
1209.1137
|
Luis Granda
|
L. N. Granda and E. Loaiza
|
Exact solutions in a scalar-tensor model of dark energy
|
30 pages, 2 figures, to appear in JCAP
| null |
10.1088/1475-7516/2012/09/011
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a model of scalar field with non minimal kinetic and Gauss Bonnet
couplings as a source of dark energy. Based on asymptotic limits of the
generalized Friedmann equation, we impose restrictions on the kinetic an
Gauss-Bonnet couplings. This restrictions considerable simplify the equations,
allowing for exact solutions unifying early time matter dominance with
transitions to late time quintessence and phantom phases. The stability of the
solutions in absence of matter has been studied.
|
[
{
"created": "Wed, 5 Sep 2012 22:41:10 GMT",
"version": "v1"
}
] |
2015-06-11
|
[
[
"Granda",
"L. N.",
""
],
[
"Loaiza",
"E.",
""
]
] |
We consider a model of scalar field with non minimal kinetic and Gauss Bonnet couplings as a source of dark energy. Based on asymptotic limits of the generalized Friedmann equation, we impose restrictions on the kinetic an Gauss-Bonnet couplings. This restrictions considerable simplify the equations, allowing for exact solutions unifying early time matter dominance with transitions to late time quintessence and phantom phases. The stability of the solutions in absence of matter has been studied.
|
1801.02822
|
Robert de Mello Koch
|
Shaun de Carvalho, Robert de Mello Koch and Augustine Larweh Mahu
|
Anomalous dimensions from boson lattice models
|
26+1 pages
|
Phys. Rev. D 97, 126004 (2018)
|
10.1103/PhysRevD.97.126004
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Operators dual to strings attached to giant graviton branes in
AdS$_5\times$S$^5$ can be described rather explicitly in the dual ${\cal N} =
4$ super Yang-Mills theory. They have a bare dimension of order $N$ so that for
these operators the large $N$ limit and the planar limit are distinct: summing
only the planar diagrams will not capture the large $N$ dynamics. Focusing on
the one-loop $SU(3)$ sector of the theory, we consider operators that are a
small deformation of a ${1\over 2}-$BPS multi-giant graviton state. The
diagonalization of the dilatation operator at one loop has been carried out,
but explicit formulas for the operators of a good scaling dimension are only
known when certain terms which were argued to be small, are neglected. In this
article we include the terms which were neglected. The diagonalization is
achieved by a novel mapping which replaces the problem of diagonalizing the
dilatation operator with a system of bosons hopping on a lattice. The giant
gravitons define the sites of this lattice and the open strings stretching
between distinct giant gravitons define the hopping terms of the Hamiltonian.
Using the lattice boson model, we argue that the lowest energy giant graviton
states are obtained by distributing the momenta carried by the $X$ and $Y$
fields evenly between the giants with the condition that any particular giant
carries only $X$ or $Y$ momenta, but not both.
|
[
{
"created": "Tue, 9 Jan 2018 07:03:26 GMT",
"version": "v1"
}
] |
2018-06-20
|
[
[
"de Carvalho",
"Shaun",
""
],
[
"Koch",
"Robert de Mello",
""
],
[
"Mahu",
"Augustine Larweh",
""
]
] |
Operators dual to strings attached to giant graviton branes in AdS$_5\times$S$^5$ can be described rather explicitly in the dual ${\cal N} = 4$ super Yang-Mills theory. They have a bare dimension of order $N$ so that for these operators the large $N$ limit and the planar limit are distinct: summing only the planar diagrams will not capture the large $N$ dynamics. Focusing on the one-loop $SU(3)$ sector of the theory, we consider operators that are a small deformation of a ${1\over 2}-$BPS multi-giant graviton state. The diagonalization of the dilatation operator at one loop has been carried out, but explicit formulas for the operators of a good scaling dimension are only known when certain terms which were argued to be small, are neglected. In this article we include the terms which were neglected. The diagonalization is achieved by a novel mapping which replaces the problem of diagonalizing the dilatation operator with a system of bosons hopping on a lattice. The giant gravitons define the sites of this lattice and the open strings stretching between distinct giant gravitons define the hopping terms of the Hamiltonian. Using the lattice boson model, we argue that the lowest energy giant graviton states are obtained by distributing the momenta carried by the $X$ and $Y$ fields evenly between the giants with the condition that any particular giant carries only $X$ or $Y$ momenta, but not both.
|
2207.09034
|
Matt Visser
|
Joshua Baines (Victoria University of Wellington) and Matt Visser
(Victoria University of Wellington)
|
Physically motivated ansatz for the Kerr spacetime
|
V1:19 pages; no figures. V2: one minor typo fixed; two new references
| null |
10.1088/1361-6382/ac9bc5
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Despite some 60 years of work on the subject of the Kerr rotating black hole
there is as yet no widely accepted physically based and pedagogically viable
ansatz suitable for deriving the Kerr solution without significant
computational effort. (Typically involving computer-aided symbolic algebra.)
Perhaps the closest one gets in this regard is the Newman-Janis trick; a trick
which requires several physically unmotivated choices in order to work. Herein
we shall try to make some progress on this issue by using a non-ortho-normal
tetrad based on oblate spheroidal coordinates to absorb as much of the messy
angular dependence as possible, leaving one to deal with a relatively simple
angle-independent tetrad-component metric. That is, we shall write $g_{ab} =
g_{AB} \; e^A{}_a\; e^B{}_b$ seeking to keep both the tetrad-component metric
$g_{AB}$ and the non-ortho-normal co-tetrad $e^A{}_a$ relatively simple but
non-trivial. We shall see that it is possible to put all the mass dependence
into $g_{AB}$, while the non-ortho-normal co-tetrad $e^A{}_a$ can be chosen to
be a mass-independent representation of flat Minkowski space in oblate
spheroidal coordinates: $(g_\mathrm{Minkowski})_{ab} = \eta_{AB} \; e^A{}_a\;
e^B{}_b$. This procedure separates out, to the greatest extent possible, the
mass dependence from the rotational dependence, and makes the Kerr solution
perhaps a little less mysterious.
|
[
{
"created": "Tue, 19 Jul 2022 02:51:51 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Jul 2022 05:22:55 GMT",
"version": "v2"
}
] |
2022-11-23
|
[
[
"Baines",
"Joshua",
"",
"Victoria University of Wellington"
],
[
"Visser",
"Matt",
"",
"Victoria University of Wellington"
]
] |
Despite some 60 years of work on the subject of the Kerr rotating black hole there is as yet no widely accepted physically based and pedagogically viable ansatz suitable for deriving the Kerr solution without significant computational effort. (Typically involving computer-aided symbolic algebra.) Perhaps the closest one gets in this regard is the Newman-Janis trick; a trick which requires several physically unmotivated choices in order to work. Herein we shall try to make some progress on this issue by using a non-ortho-normal tetrad based on oblate spheroidal coordinates to absorb as much of the messy angular dependence as possible, leaving one to deal with a relatively simple angle-independent tetrad-component metric. That is, we shall write $g_{ab} = g_{AB} \; e^A{}_a\; e^B{}_b$ seeking to keep both the tetrad-component metric $g_{AB}$ and the non-ortho-normal co-tetrad $e^A{}_a$ relatively simple but non-trivial. We shall see that it is possible to put all the mass dependence into $g_{AB}$, while the non-ortho-normal co-tetrad $e^A{}_a$ can be chosen to be a mass-independent representation of flat Minkowski space in oblate spheroidal coordinates: $(g_\mathrm{Minkowski})_{ab} = \eta_{AB} \; e^A{}_a\; e^B{}_b$. This procedure separates out, to the greatest extent possible, the mass dependence from the rotational dependence, and makes the Kerr solution perhaps a little less mysterious.
|
1107.1874
|
Ali Mostafazadeh
|
Ali Mostafazadeh
|
Imaginary-Scaling versus Indefinite-Metric Quantization of the
Pais-Uhlenbeck Oscillator
|
Published version, 7 pages
|
Phys. Rev. D 84, 105018 (2011)
|
10.1103/PhysRevD.84.105018
| null |
hep-th gr-qc math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the Pais-Uhlenbeck Oscillator as a toy model, we outline a consistent
alternative to the indefinite-metric quantization scheme that does not violate
unitarity. We describe the basic mathematical structure of this method by
giving an explicit construction of the Hilbert space of state vectors and the
corresponding creation and annihilation operators. The latter satisfy the usual
bosonic commutation relation and differ from those of the indefinite-metric
theories by a sign in the definition of the creation operator. This change of
sign achieves a definitization of the indefinite-metric that gives life to the
ghost states without changing their contribution to the energy spectrum.
|
[
{
"created": "Sun, 10 Jul 2011 16:32:14 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Oct 2011 10:24:21 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Nov 2011 15:51:58 GMT",
"version": "v3"
},
{
"created": "Fri, 9 Dec 2011 08:33:13 GMT",
"version": "v4"
}
] |
2011-12-12
|
[
[
"Mostafazadeh",
"Ali",
""
]
] |
Using the Pais-Uhlenbeck Oscillator as a toy model, we outline a consistent alternative to the indefinite-metric quantization scheme that does not violate unitarity. We describe the basic mathematical structure of this method by giving an explicit construction of the Hilbert space of state vectors and the corresponding creation and annihilation operators. The latter satisfy the usual bosonic commutation relation and differ from those of the indefinite-metric theories by a sign in the definition of the creation operator. This change of sign achieves a definitization of the indefinite-metric that gives life to the ghost states without changing their contribution to the energy spectrum.
|
1506.04008
|
Guihua Tian
|
Guihua Tian and Huihui Wang
|
Research on the recurrence relations for the spin-weighted spheroidal
harmonics
|
some modification, including some formula, error corrected
| null | null | null |
gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study the recurrence relations in the spin-weighted
spheroidal harmonics (SWSHs) through super-symmetric quantum mechanics. We use
the shape invariance property to solve the spin-weighted spheroidal wave
equations. The result shows the relation among SWSHs with a special condition
of the same parameter magnetic quantum number m but different spin-weight s.
The conclusions can be reduced to the famous recurrence relations of
spin-weighted spherical harmonics. These contents are the first investigation
of this kind recurrence relation concerning SWSHs and make it possible to
derive SWSHs from the spheroidal harmonics, so they are very important both in
theoretical background and in the astrophysical applications. Keywords:
spin-weighted spheroidal harmonics, recurrence relation, super-symmetric
quantum mechanics, shape-invariance
|
[
{
"created": "Wed, 10 Jun 2015 04:13:47 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Oct 2015 07:28:17 GMT",
"version": "v2"
}
] |
2015-10-26
|
[
[
"Tian",
"Guihua",
""
],
[
"Wang",
"Huihui",
""
]
] |
In this paper we study the recurrence relations in the spin-weighted spheroidal harmonics (SWSHs) through super-symmetric quantum mechanics. We use the shape invariance property to solve the spin-weighted spheroidal wave equations. The result shows the relation among SWSHs with a special condition of the same parameter magnetic quantum number m but different spin-weight s. The conclusions can be reduced to the famous recurrence relations of spin-weighted spherical harmonics. These contents are the first investigation of this kind recurrence relation concerning SWSHs and make it possible to derive SWSHs from the spheroidal harmonics, so they are very important both in theoretical background and in the astrophysical applications. Keywords: spin-weighted spheroidal harmonics, recurrence relation, super-symmetric quantum mechanics, shape-invariance
|
1406.7400
|
Nirmalya Kajuri
|
Nirmalya Kajuri
|
Path Integral representation for Polymer Quantized Scalar Fields
|
In this version, the derivation of the path integral is presented
starting from the position basis instead of the momentum basis to better
highlight the similarities with particle on a circle
|
International Journal of Modern Physics A Vol. 30 (2015) 1550204
|
10.1142/S0217751X15502048
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
According to loop quantum gravity, matter fields must be quantized in a
background independent manner. For scalar fields, such a background independent
quantization is called polymer quantization and is inequivalent to the standard
Schrodinger quantization. It is therefore important to obtain predictions from
the polymer quantized scalar field theory and compare with the standard
results. As a step towards this, we develop a path integral representation for
the polymer quantized scalar field. We notice several crucial differences from
the path integral for the schrodinger quantized scalar field. One important
difference is the appearance of an extra summation at each point in the path
integral for the polymer quantized theory. A second crucial difference is the
loss of manifest Lorentz symmetry for a polymer quantized theory on Minkowski
Space.
|
[
{
"created": "Sat, 28 Jun 2014 13:36:29 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Jul 2014 21:07:13 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Sep 2015 14:54:02 GMT",
"version": "v3"
}
] |
2015-12-16
|
[
[
"Kajuri",
"Nirmalya",
""
]
] |
According to loop quantum gravity, matter fields must be quantized in a background independent manner. For scalar fields, such a background independent quantization is called polymer quantization and is inequivalent to the standard Schrodinger quantization. It is therefore important to obtain predictions from the polymer quantized scalar field theory and compare with the standard results. As a step towards this, we develop a path integral representation for the polymer quantized scalar field. We notice several crucial differences from the path integral for the schrodinger quantized scalar field. One important difference is the appearance of an extra summation at each point in the path integral for the polymer quantized theory. A second crucial difference is the loss of manifest Lorentz symmetry for a polymer quantized theory on Minkowski Space.
|
hep-th/9406062
|
Martin Rocek
|
Byungbae Kim, Ulf Lindstr\"om, and Martin Ro\v{c}ek
|
The Nonlinear Multiplet Revisited
|
11 pages, ITP-SB-94-23, USITP-94-10
|
Phys.Lett. B342 (1995) 99-104
|
10.1016/0370-2693(94)01388-S
| null |
hep-th
| null |
Using a reformulation of the nonlinear multiplet as a gauge multiplet, we
discuss its dynamics. We show that the nonlinear ``duality'' that appears to
relate the model to a conventional $\sigma$-model introduces a new sector into
the theory.
|
[
{
"created": "Fri, 10 Jun 1994 17:40:26 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Kim",
"Byungbae",
""
],
[
"Lindström",
"Ulf",
""
],
[
"Roček",
"Martin",
""
]
] |
Using a reformulation of the nonlinear multiplet as a gauge multiplet, we discuss its dynamics. We show that the nonlinear ``duality'' that appears to relate the model to a conventional $\sigma$-model introduces a new sector into the theory.
|
1801.07963
|
Samson Shatashvili
|
Anton Alekseev and Samson L. Shatashvili
|
Coadjoint Orbits, Cocycles and Gravitational Wess-Zumino
|
15 pages, v2: references added
| null |
10.1142/S0129055X18400019
|
TCDMATH-18-01, HMI-18-01
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
About 30 years ago, in a joint work with L. Faddeev we introduced a geometric
action on coadjoint orbits. This action, in particular, gives rise to a path
integral formula for characters of the corresponding group $G$. In this paper,
we revisit this topic and observe that the geometric action is a 1-cocycle for
the loop group $LG$. In the case of $G$ being a central extension, we construct
Wess-Zumino (WZ) type terms and show that the cocycle property of the geometric
action gives rise to a Polyakov-Wiegmann (PW) formula. In particular, we obtain
a PW type formula for the Polyakov's gravitational WZ action. After
quantization, this formula leads to an interesting bulk-boundary decoupling
phenomenon previously observed in the WZW model. We explain that this
decoupling is a general feature of the Wess-Zumino terms obtained from
geometric actions, and that in this case the path integral is expressed in
terms of the 2-cocycle which defines the central extension. In memory of our
teacher Ludwig Faddeev.
|
[
{
"created": "Wed, 24 Jan 2018 12:45:15 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Feb 2018 15:37:11 GMT",
"version": "v2"
}
] |
2018-08-01
|
[
[
"Alekseev",
"Anton",
""
],
[
"Shatashvili",
"Samson L.",
""
]
] |
About 30 years ago, in a joint work with L. Faddeev we introduced a geometric action on coadjoint orbits. This action, in particular, gives rise to a path integral formula for characters of the corresponding group $G$. In this paper, we revisit this topic and observe that the geometric action is a 1-cocycle for the loop group $LG$. In the case of $G$ being a central extension, we construct Wess-Zumino (WZ) type terms and show that the cocycle property of the geometric action gives rise to a Polyakov-Wiegmann (PW) formula. In particular, we obtain a PW type formula for the Polyakov's gravitational WZ action. After quantization, this formula leads to an interesting bulk-boundary decoupling phenomenon previously observed in the WZW model. We explain that this decoupling is a general feature of the Wess-Zumino terms obtained from geometric actions, and that in this case the path integral is expressed in terms of the 2-cocycle which defines the central extension. In memory of our teacher Ludwig Faddeev.
|
1702.08445
|
Merab Gogberashvili Prof
|
Merab Gogberashvili
|
Electroweak Phase Transitions in Einstein's Static Universe
|
The published version
|
Adv. High Energy Phys., vol. 2018 (2018) Article ID 4653202, 5
pages
|
10.1155/2018/4653202
| null |
gr-qc hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We suggest using Einstein's static universe metric for the metastable state
after reheating, instead of the Friedman-Robertson-Walker spacetime. In this
case strong static gravitational potential leads to the effective reduction of
the Higgs vacuum expectation value, which is found to be compatible with the
Standard Model first order electroweak phase transition conditions. Gravity
could also increase the CP-violating effects for particles that cross the new
phase bubble walls and thus is able to lead to the successful electroweak
baryogenesis scenario.
|
[
{
"created": "Sun, 26 Feb 2017 13:29:11 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Apr 2018 04:43:01 GMT",
"version": "v2"
}
] |
2018-04-23
|
[
[
"Gogberashvili",
"Merab",
""
]
] |
We suggest using Einstein's static universe metric for the metastable state after reheating, instead of the Friedman-Robertson-Walker spacetime. In this case strong static gravitational potential leads to the effective reduction of the Higgs vacuum expectation value, which is found to be compatible with the Standard Model first order electroweak phase transition conditions. Gravity could also increase the CP-violating effects for particles that cross the new phase bubble walls and thus is able to lead to the successful electroweak baryogenesis scenario.
|
2405.10551
|
Alejandro Torres-Orjuela
|
Alejandro Torres-Orjuela
|
Black hole spectroscopy with ground-based atom interferometer and
space-based laser interferometer gravitational wave detectors
|
16 pages, 12 figures
| null | null | null |
gr-qc astro-ph.HE
|
http://creativecommons.org/licenses/by-nc-nd/4.0/
|
Gravitational wave (GW) detection has enabled us to test General Relativity
in an entirely new regime. A prominent role in tests of General Relativity
takes the detection of the Quasi-normal modes (QNMs) that arise as the highly
distorted remnant formed after the merger emits GWs until it becomes a regular
Kerr BH. According to the no-hair theorem, the frequencies and damping times of
these QNMs are determined solely by the mass and spin of the remnant BH.
Therefore, detecting the QNMs offers a unique way to probe the nature of the
remnant BH and to test General Relativity. We study the detection of a merging
binary black hole (BBH) in the intermediate mass range, where the
inspiral-merger phase is detected by space-based laser interferometer detectors
TianQin and LISA while the ringdown is detected by the ground-based atom
interferometer (AI) observatory AION. The analysis of the ringdown is done
using the regular broadband mode of AI detectors as well as using the resonant
mode where the detection band is optimized to the frequencies of the QNMs
predicted from the inspiral-merger phase. We find that using the regular
broadband mode allows constraining the parameters of the BBH with relative
errors of at most $10^{-6}$ from the ringdown while the frequencies and the
damping times of the QNMs can be determined with total errors below $0.2\,{\rm
Hz}$ and $115\,{\rm \mu s}$, respectively. Furthermore, we find that using the
resonant mode can improve the parameter estimation for the BBH from the
ringdown by up to one order of magnitude. Utilizing the resonant mode
significantly limits the detection of the frequency of the QNMs but improves
the detection error of the damping times by one to four orders of magnitude.
|
[
{
"created": "Fri, 17 May 2024 05:31:26 GMT",
"version": "v1"
}
] |
2024-05-29
|
[
[
"Torres-Orjuela",
"Alejandro",
""
]
] |
Gravitational wave (GW) detection has enabled us to test General Relativity in an entirely new regime. A prominent role in tests of General Relativity takes the detection of the Quasi-normal modes (QNMs) that arise as the highly distorted remnant formed after the merger emits GWs until it becomes a regular Kerr BH. According to the no-hair theorem, the frequencies and damping times of these QNMs are determined solely by the mass and spin of the remnant BH. Therefore, detecting the QNMs offers a unique way to probe the nature of the remnant BH and to test General Relativity. We study the detection of a merging binary black hole (BBH) in the intermediate mass range, where the inspiral-merger phase is detected by space-based laser interferometer detectors TianQin and LISA while the ringdown is detected by the ground-based atom interferometer (AI) observatory AION. The analysis of the ringdown is done using the regular broadband mode of AI detectors as well as using the resonant mode where the detection band is optimized to the frequencies of the QNMs predicted from the inspiral-merger phase. We find that using the regular broadband mode allows constraining the parameters of the BBH with relative errors of at most $10^{-6}$ from the ringdown while the frequencies and the damping times of the QNMs can be determined with total errors below $0.2\,{\rm Hz}$ and $115\,{\rm \mu s}$, respectively. Furthermore, we find that using the resonant mode can improve the parameter estimation for the BBH from the ringdown by up to one order of magnitude. Utilizing the resonant mode significantly limits the detection of the frequency of the QNMs but improves the detection error of the damping times by one to four orders of magnitude.
|
0803.4366
|
Nikodem Poplawski
|
Nikodem J. Poplawski
|
Variational formulation of Eisenhart's unified theory
|
7 pages; published version
|
Int.J.Mod.Phys.A24 (2009) 3975-3984
|
10.1142/S0217751X09044735
| null |
gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Eisenhart's classical unified field theory is based on a non-Riemannian
affine connection related to the covariant derivative of the electromagnetic
field tensor. The sourceless field equations of this theory arise from
vanishing of the torsion trace and the symmetrized Ricci tensor. We formulate
Eisenhart's theory from the metric-affine variational principle. In this
formulation, a Lagrange multiplier constraining the torsion becomes the source
for the Maxwell equations.
|
[
{
"created": "Mon, 31 Mar 2008 04:12:05 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Aug 2009 18:12:00 GMT",
"version": "v2"
}
] |
2009-08-30
|
[
[
"Poplawski",
"Nikodem J.",
""
]
] |
Eisenhart's classical unified field theory is based on a non-Riemannian affine connection related to the covariant derivative of the electromagnetic field tensor. The sourceless field equations of this theory arise from vanishing of the torsion trace and the symmetrized Ricci tensor. We formulate Eisenhart's theory from the metric-affine variational principle. In this formulation, a Lagrange multiplier constraining the torsion becomes the source for the Maxwell equations.
|
hep-th/9707065
|
Ziemowit Popowicz
|
Z. Popowicz (Institute of Theoretical Physics, University of Wroclaw,
Poland)
|
Extensions of the N=2 Supersymmetric a=-2 Boussinesq Hierarchy
|
LaTex, new references added, minor typos corrected, e-mail:
[email protected]
| null |
10.1016/S0375-9601(97)00793-7
| null |
hep-th
| null |
We present two different Lax operators for a manifestly N=2 supersymmetric
extension of "a=-2" Boussinesq hierarchy . The first is the supersymmetric
generalization of the Lax operator of the Modified KdV equation. The second is
the generalization of the supersymmetric Lax operator of the N=2 supersymmetric
a=-2 KdV system. The gauge transformation of the first Lax operator provide the
Miura link between the "small" N=4 supersymmetric conformal algebra and the
supersymmetric $W_{3}$ algebra .
|
[
{
"created": "Mon, 7 Jul 1997 10:30:28 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Oct 1997 07:19:19 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Popowicz",
"Z.",
"",
"Institute of Theoretical Physics, University of Wroclaw,\n Poland"
]
] |
We present two different Lax operators for a manifestly N=2 supersymmetric extension of "a=-2" Boussinesq hierarchy . The first is the supersymmetric generalization of the Lax operator of the Modified KdV equation. The second is the generalization of the supersymmetric Lax operator of the N=2 supersymmetric a=-2 KdV system. The gauge transformation of the first Lax operator provide the Miura link between the "small" N=4 supersymmetric conformal algebra and the supersymmetric $W_{3}$ algebra .
|
1512.03033
|
Jaume Haro
|
Jaume Haro and Supriya Pan
|
Bulk viscous quintessential inflation
|
Version accepted for publication in IJMPD
| null | null | null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The incorporation of bulk viscosity process to General Relativity leads to
the appearance of nonsingular backgrounds that, at early and late times, depict
an accelerated universe. These backgrounds could be analytically calculated and
mimicked, in the context of General Relativity, by a single scalar field whose
potential could also be obtained analytically. We will show that, we can build
viable backgrounds that, at early times, depict an inflationary universe
leading to a power spectrum of cosmological perturbations which match with
current observational data, and after leaving the inflationary phase, the
universe suffers a phase transition needed to explain the reheating of the
universe via gravitational particle production, and finally, at late times, it
enters into the de Sitter phase that can explain the current cosmic
acceleration.
|
[
{
"created": "Wed, 9 Dec 2015 20:37:06 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Dec 2017 08:54:22 GMT",
"version": "v2"
}
] |
2017-12-20
|
[
[
"Haro",
"Jaume",
""
],
[
"Pan",
"Supriya",
""
]
] |
The incorporation of bulk viscosity process to General Relativity leads to the appearance of nonsingular backgrounds that, at early and late times, depict an accelerated universe. These backgrounds could be analytically calculated and mimicked, in the context of General Relativity, by a single scalar field whose potential could also be obtained analytically. We will show that, we can build viable backgrounds that, at early times, depict an inflationary universe leading to a power spectrum of cosmological perturbations which match with current observational data, and after leaving the inflationary phase, the universe suffers a phase transition needed to explain the reheating of the universe via gravitational particle production, and finally, at late times, it enters into the de Sitter phase that can explain the current cosmic acceleration.
|
hep-th/9902025
|
S. G. Rajeev
|
S. G. Rajeev
|
Bound States in Models of Asymtotic Freedom
|
Latex 63 pages, one eps figure
| null | null |
Mittag-Leffler report 7,1998/99
|
hep-th
| null |
We describe a new formalism which expresses asymtotically free thories in a
manifestly finite way, after renormalization and dimensional transmutation. The
time evolution is NOT differentiable in these systems, so the hamiltonian does
not exist. Instead, there is a new operator, the `Principal Operator', (which
is roughly speaking the logarithm of the hamiltonian) which is finite (cut-off
independent). We construct the Principal operator in several examples,
including the Many body Problem of bosons in two dimensions with a short range
attractive interaction. This allows us to estimate the ground state energy of a
two-dimensional Bose condensate (with an attractive interaction). The ground
state energy depends exponentially on the number of particles.
|
[
{
"created": "Tue, 2 Feb 1999 20:41:18 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Rajeev",
"S. G.",
""
]
] |
We describe a new formalism which expresses asymtotically free thories in a manifestly finite way, after renormalization and dimensional transmutation. The time evolution is NOT differentiable in these systems, so the hamiltonian does not exist. Instead, there is a new operator, the `Principal Operator', (which is roughly speaking the logarithm of the hamiltonian) which is finite (cut-off independent). We construct the Principal operator in several examples, including the Many body Problem of bosons in two dimensions with a short range attractive interaction. This allows us to estimate the ground state energy of a two-dimensional Bose condensate (with an attractive interaction). The ground state energy depends exponentially on the number of particles.
|
0912.0539
|
David Skinner
|
Mathew Bullimore, Lionel Mason and David Skinner
|
Twistor-Strings, Grassmannians and Leading Singularities
|
50 pages, 20 figures. Section 2.5 extended, errors in 5.2 corrected,
new section 5.3 inserted, references added. In all, 5 new diagrams and 5
extra pages
|
JHEP 1003:070,2010
|
10.1007/JHEP03(2010)070
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive a systematic procedure for obtaining an explicit, L-loop leading
singularities of planar N=4 super Yang-Mills scattering amplitudes in twistor
space directly from their momentum space channel diagrams. The expressions are
given as integrals over the moduli of connected, nodal curves in twistor space
whose degree and genus matches expectations from twistor-string theory. We
propose that a twistor-string theory for pure N=4 super Yang-Mills, if it
exists, is determined by the condition that these leading singularity formulae
arise as residues when an unphysical contour for the path integral is used, by
analogy with the momentum space leading singularity conjecture. We go on to
show that the genus g twistor-string moduli space for g-loop N^{k-2}MHV
amplitudes may be mapped into the Grassmannian G(k,n). Restricting to a leading
singularity, the image of this map is a 2(n-2)-dimensional subcycle of G(k,n)
of exactly the type found from the Grassmannian residue formula of
Arkani-Hamed, Cachazo, Cheung and Kaplan. Based on this correspondence and the
Grassmannian conjecture, we deduce restrictions on the possible leading
singularities of multi-loop N^pMHV amplitudes. In particular, we argue that no
new leading singularities can arise beyond 3p loops.
|
[
{
"created": "Thu, 3 Dec 2009 20:05:06 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Dec 2009 21:40:01 GMT",
"version": "v2"
},
{
"created": "Wed, 30 Dec 2009 21:19:03 GMT",
"version": "v3"
}
] |
2014-11-20
|
[
[
"Bullimore",
"Mathew",
""
],
[
"Mason",
"Lionel",
""
],
[
"Skinner",
"David",
""
]
] |
We derive a systematic procedure for obtaining an explicit, L-loop leading singularities of planar N=4 super Yang-Mills scattering amplitudes in twistor space directly from their momentum space channel diagrams. The expressions are given as integrals over the moduli of connected, nodal curves in twistor space whose degree and genus matches expectations from twistor-string theory. We propose that a twistor-string theory for pure N=4 super Yang-Mills, if it exists, is determined by the condition that these leading singularity formulae arise as residues when an unphysical contour for the path integral is used, by analogy with the momentum space leading singularity conjecture. We go on to show that the genus g twistor-string moduli space for g-loop N^{k-2}MHV amplitudes may be mapped into the Grassmannian G(k,n). Restricting to a leading singularity, the image of this map is a 2(n-2)-dimensional subcycle of G(k,n) of exactly the type found from the Grassmannian residue formula of Arkani-Hamed, Cachazo, Cheung and Kaplan. Based on this correspondence and the Grassmannian conjecture, we deduce restrictions on the possible leading singularities of multi-loop N^pMHV amplitudes. In particular, we argue that no new leading singularities can arise beyond 3p loops.
|
gr-qc/0109059
|
Christodoulakis Theodosios
|
T. Christodoulakis
|
Lectures on Quantum Cosmology
|
34 pages, LaTeX2e, No figures
|
Lect.Notes Phys.592:318-350,2002
| null | null |
gr-qc
| null |
The problems encountered in trying to quantize the various cosmological
models, are brought forward by means of a concrete example. The Automorphism
groups are revealed as the key element through which G.C.T.'s can be used for a
general treatment of these problems. At the classical level, the time dependent
automorphisms lead to significant simplifications of the line element for the
generic spatially homogeneous geometry, without loss of generality. At the
quantum level, the ''frozen'' automorphisms entail an important reduction of
the configuration space --spanned by the 6 components of the scale factor
matrix-- on which the Wheeler-DeWitt equation, is to be based. In this spirit
the canonical quantization of the most general minisuperspace actions --i.e.
with all six scale factor as well as the lapse function and the shift vector
present-- describing the vacuum type II, I geometries, is considered. The
reduction to the corresponding physical degrees of freedom is achieved through
the usage of the linear constraints as well as the quantum version of the
entire set of all classical integrals of motion.
|
[
{
"created": "Tue, 18 Sep 2001 09:39:16 GMT",
"version": "v1"
}
] |
2011-07-19
|
[
[
"Christodoulakis",
"T.",
""
]
] |
The problems encountered in trying to quantize the various cosmological models, are brought forward by means of a concrete example. The Automorphism groups are revealed as the key element through which G.C.T.'s can be used for a general treatment of these problems. At the classical level, the time dependent automorphisms lead to significant simplifications of the line element for the generic spatially homogeneous geometry, without loss of generality. At the quantum level, the ''frozen'' automorphisms entail an important reduction of the configuration space --spanned by the 6 components of the scale factor matrix-- on which the Wheeler-DeWitt equation, is to be based. In this spirit the canonical quantization of the most general minisuperspace actions --i.e. with all six scale factor as well as the lapse function and the shift vector present-- describing the vacuum type II, I geometries, is considered. The reduction to the corresponding physical degrees of freedom is achieved through the usage of the linear constraints as well as the quantum version of the entire set of all classical integrals of motion.
|
2305.11226
|
Klaas Parmentier
|
Ioanna Kourkoulou, Michael J. Landry, Alberto Nicolis, Klaas
Parmentier
|
Apparently superluminal superfluids
|
26 pages, 1 figure
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the superfluid phase of a specific renormalizable relativistic
quantum field theory. We prove that, within the regime of validity of
perturbation theory and of the superfluid effective theory, there are
consistent and regular vortex solutions where the superfluid's velocity field
as traditionally defined smoothly interpolates between zero and arbitrarily
large superluminal values. We show that this solution is free of instabilities
and of superluminal excitations. We show that, in contrast, a generic vortex
solution for an ordinary fluid does develop an instability if the velocity
field becomes superluminal. All this questions the characterization of a
superfluid velocity field as the actual velocity of ``something".
|
[
{
"created": "Thu, 18 May 2023 18:00:07 GMT",
"version": "v1"
}
] |
2023-05-22
|
[
[
"Kourkoulou",
"Ioanna",
""
],
[
"Landry",
"Michael J.",
""
],
[
"Nicolis",
"Alberto",
""
],
[
"Parmentier",
"Klaas",
""
]
] |
We consider the superfluid phase of a specific renormalizable relativistic quantum field theory. We prove that, within the regime of validity of perturbation theory and of the superfluid effective theory, there are consistent and regular vortex solutions where the superfluid's velocity field as traditionally defined smoothly interpolates between zero and arbitrarily large superluminal values. We show that this solution is free of instabilities and of superluminal excitations. We show that, in contrast, a generic vortex solution for an ordinary fluid does develop an instability if the velocity field becomes superluminal. All this questions the characterization of a superfluid velocity field as the actual velocity of ``something".
|
hep-th/9505024
|
Gerard Jungman
|
V.John, G.Jungman, S.Vaidya
|
The Renormalization Group and Quantum Hall Edge States
|
21 pages; submitted as uuencoded, compressed postscript
|
Nucl.Phys. B455 (1995) 505-521
|
10.1016/0550-3213(95)00449-3
|
SU-4240-609
|
hep-th cond-mat
| null |
The role of edge states in phenomena like the quantum Hall effect is well
known. In this paper we show how the choice of boundary conditions for a
one-particle Schr\"odinger equation can give rise to states localized at the
edge of the system. We consider both the example of a free particle and the
more involved example of a particle in a magnetic field. In each case, edge
states arise from a non-trivial scaling limit involving the boundary
conditions. Second quantization of these quantum mechanical systems leads to a
multi-particle ground state carrying a persistent current at the edge. We show
that the theory quantized with this vacuum displays an ``anomaly'' at the edge
which is the mark of a quantized Hall conductivity in the presence of an
external magnetic field. We also offer interpretations for the physics of such
boundary conditions which may have a bearing on the nature of the excitations
of these systems.
|
[
{
"created": "Wed, 3 May 1995 18:37:19 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"John",
"V.",
""
],
[
"Jungman",
"G.",
""
],
[
"Vaidya",
"S.",
""
]
] |
The role of edge states in phenomena like the quantum Hall effect is well known. In this paper we show how the choice of boundary conditions for a one-particle Schr\"odinger equation can give rise to states localized at the edge of the system. We consider both the example of a free particle and the more involved example of a particle in a magnetic field. In each case, edge states arise from a non-trivial scaling limit involving the boundary conditions. Second quantization of these quantum mechanical systems leads to a multi-particle ground state carrying a persistent current at the edge. We show that the theory quantized with this vacuum displays an ``anomaly'' at the edge which is the mark of a quantized Hall conductivity in the presence of an external magnetic field. We also offer interpretations for the physics of such boundary conditions which may have a bearing on the nature of the excitations of these systems.
|
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