id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0904.2873 | Nikolay Bobev | Nikolay Bobev and Arnab Kundu | Deformations of Holographic Duals to Non-Relativistic CFTs | 34 pages, 1 figure, LaTeX | JHEP 0907:098,2009 | 10.1088/1126-6708/2009/07/098 | NSF-KITP-09-49 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the non-relativistic counterparts of some well-known
supergravity solutions dual to relevant and marginal deformations of N=4 super
Yang-Mills. The main tool we use is the null Melvin twist and we apply it to
the N=1 and N=2* Pilch-Warner RG flow solutions as well as the Lunin-Maldacena
solution dual to beta-deformations of N=4 super Yang-Mills. We also obtain a
family of supergravity solutions with Schrodinger symmetry interpolating
between the non-relativistic version of the N=1 Pilch-Warner and
Klebanov-Witten fixed points. A generic feature of these non-relativistic
backgrounds is the presence of non-vanishing internal fluxes. We also find the
most general, three-parameter, null Melvin twist of the AdS_5xS^5 black hole.
We briefly comment on the field theories dual to these supergravity solutions.
| [
{
"created": "Mon, 20 Apr 2009 16:39:00 GMT",
"version": "v1"
}
] | 2010-01-15 | [
[
"Bobev",
"Nikolay",
""
],
[
"Kundu",
"Arnab",
""
]
] | We construct the non-relativistic counterparts of some well-known supergravity solutions dual to relevant and marginal deformations of N=4 super Yang-Mills. The main tool we use is the null Melvin twist and we apply it to the N=1 and N=2* Pilch-Warner RG flow solutions as well as the Lunin-Maldacena solution dual to beta-deformations of N=4 super Yang-Mills. We also obtain a family of supergravity solutions with Schrodinger symmetry interpolating between the non-relativistic version of the N=1 Pilch-Warner and Klebanov-Witten fixed points. A generic feature of these non-relativistic backgrounds is the presence of non-vanishing internal fluxes. We also find the most general, three-parameter, null Melvin twist of the AdS_5xS^5 black hole. We briefly comment on the field theories dual to these supergravity solutions. |
0705.2259 | Hugo Garcia-Compean | Laura Sanchez, Imelda Galaviz, Hugo Garcia-Compean | Deformation Quantization of Relativistic Particles in Electromagnetic
Fields | 43 pages, no figures, harmac file | Int.J.Mod.Phys.A23:1757-1790,2008 | 10.1142/S0217751X08039360 | CINVESTAV-FIS-07/15 | hep-th | null | The Weyl-Wigner-Moyal formalism for Dirac second class constrained systems
has been proposed recently as the deformation quantization of Dirac bracket. In
this paper, after a brief review of this formalism, it is applied to the case
of the relativistic free particle. Within this context, the Stratonovich-Weyl
quantizer, Weyl correspondence, Moyal $\star$-product and Wigner function in
the constrained phase space are obtained. The recent Hamiltonian treatment for
constrained systems, whose constraints depend explicitly on time, are used to
perform the deformation quantization of the relativistic free charged particle
in an arbitrary electromagnetic background. Finally, the system consisting of a
charged particle interacting with a dynamical Maxwell field is quantized in
this context.
| [
{
"created": "Wed, 16 May 2007 00:18:30 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Sanchez",
"Laura",
""
],
[
"Galaviz",
"Imelda",
""
],
[
"Garcia-Compean",
"Hugo",
""
]
] | The Weyl-Wigner-Moyal formalism for Dirac second class constrained systems has been proposed recently as the deformation quantization of Dirac bracket. In this paper, after a brief review of this formalism, it is applied to the case of the relativistic free particle. Within this context, the Stratonovich-Weyl quantizer, Weyl correspondence, Moyal $\star$-product and Wigner function in the constrained phase space are obtained. The recent Hamiltonian treatment for constrained systems, whose constraints depend explicitly on time, are used to perform the deformation quantization of the relativistic free charged particle in an arbitrary electromagnetic background. Finally, the system consisting of a charged particle interacting with a dynamical Maxwell field is quantized in this context. |
1412.2616 | Andrei Mironov | D.Galakhov, D.Melnikov, A.Mironov, A.Morozov and A.Sleptsov | Colored knot polynomials for Pretzel knots and links of arbitrary genus | 5 pages | Physics Letters B743 (2015) 71-74 | 10.1016/j.physletb.2015.02.029 | FIAN/TD-19/14; ITEP/TH-42/14 | hep-th math.GT math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A very simple expression is conjectured for arbitrary colored Jones and
HOMFLY polynomials of a rich $(g+1)$-parametric family of Pretzel knots and
links. The answer for the Jones and HOMFLY polynomials is fully and explicitly
expressed through the Racah matrix of U_q(SU_N), and looks related to a modular
transformation of toric conformal block.
| [
{
"created": "Mon, 8 Dec 2014 15:43:09 GMT",
"version": "v1"
}
] | 2015-03-03 | [
[
"Galakhov",
"D.",
""
],
[
"Melnikov",
"D.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Sleptsov",
"A.",
""
]
] | A very simple expression is conjectured for arbitrary colored Jones and HOMFLY polynomials of a rich $(g+1)$-parametric family of Pretzel knots and links. The answer for the Jones and HOMFLY polynomials is fully and explicitly expressed through the Racah matrix of U_q(SU_N), and looks related to a modular transformation of toric conformal block. |
1005.4942 | G. S. Krishnaswami | Govind S. Krishnaswami | On lightest baryon and its excitations in large-N 1+1-dimensional QCD | 26 pages, 3 figures, shorter published version, added remarks on
parity | J.Phys.A43:395401,2010 | 10.1088/1751-8113/43/39/395401 | DCPT-10/17 | hep-th hep-ph math-ph math.MP nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study baryons in multicolour 1+1D QCD via Rajeev's gauge-invariant
reformulation as a non-linear classical theory of a bilocal meson field
constrained to lie on a Grassmannian. It is known to reproduce 't Hooft's meson
spectrum via small oscillations around the vacuum, while baryons arise as
topological solitons. The lightest baryon has zero mass per colour in the
chiral limit; we find its form factor. It moves at the speed of light through a
family of massless states. To model excitations of this baryon, we linearize
equations for motion in the tangent space to the Grassmannian, parameterized by
a bilocal field U. A redundancy in U is removed and an approximation is made in
lieu of a consistency condition on U. The baryon spectrum is given by an
eigenvalue problem for a hermitian singular integral operator on such tangent
vectors. Excited baryons are like bound states of the lightest one with a
meson. Using a rank-1 ansatz for U in a variational formulation, we estimate
the mass and form factor of the first excitation.
| [
{
"created": "Wed, 26 May 2010 20:20:09 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Aug 2010 11:12:15 GMT",
"version": "v2"
}
] | 2014-11-21 | [
[
"Krishnaswami",
"Govind S.",
""
]
] | We study baryons in multicolour 1+1D QCD via Rajeev's gauge-invariant reformulation as a non-linear classical theory of a bilocal meson field constrained to lie on a Grassmannian. It is known to reproduce 't Hooft's meson spectrum via small oscillations around the vacuum, while baryons arise as topological solitons. The lightest baryon has zero mass per colour in the chiral limit; we find its form factor. It moves at the speed of light through a family of massless states. To model excitations of this baryon, we linearize equations for motion in the tangent space to the Grassmannian, parameterized by a bilocal field U. A redundancy in U is removed and an approximation is made in lieu of a consistency condition on U. The baryon spectrum is given by an eigenvalue problem for a hermitian singular integral operator on such tangent vectors. Excited baryons are like bound states of the lightest one with a meson. Using a rank-1 ansatz for U in a variational formulation, we estimate the mass and form factor of the first excitation. |
1408.0932 | Michael Enciso | Michael Enciso | Volumes of Polytopes Without Triangulations | 32 pages, 12 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The geometry of the dual amplituhedron is generally described in reference to
a particular triangulation. A given triangulation manifests only certain
aspects of the underlying space while obscuring others, therefore understanding
this geometry without reference to a particular triangulation is desirable. In
this note we introduce a new formalism for computing the volumes of general
polytopes in any dimension. We define new "vertex objects" and introduce a
calculus for expressing volumes of polytopes in terms of them. These
expressions are unique, independent of any triangulation, manifestly depend
only on the vertices of the underlying polytope, and can be used to easily
derive identities amongst different triangulations. As one application of this
formalism, we obtain new expressions for the volume of the tree-level,
$n$-point NMHV dual amplituhedron.
| [
{
"created": "Tue, 5 Aug 2014 11:41:48 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Aug 2017 17:19:34 GMT",
"version": "v2"
}
] | 2017-08-22 | [
[
"Enciso",
"Michael",
""
]
] | The geometry of the dual amplituhedron is generally described in reference to a particular triangulation. A given triangulation manifests only certain aspects of the underlying space while obscuring others, therefore understanding this geometry without reference to a particular triangulation is desirable. In this note we introduce a new formalism for computing the volumes of general polytopes in any dimension. We define new "vertex objects" and introduce a calculus for expressing volumes of polytopes in terms of them. These expressions are unique, independent of any triangulation, manifestly depend only on the vertices of the underlying polytope, and can be used to easily derive identities amongst different triangulations. As one application of this formalism, we obtain new expressions for the volume of the tree-level, $n$-point NMHV dual amplituhedron. |
hep-th/0401117 | Kimball A. Milton | Kimball A. Milton | Finite Casimir Energies in Renormalizable Quantum Field Theory | 20 pages, 2 ps figures, uses ws-procs975x65.cls Invited talk given at
Marcel Grossmann X, Rio de Janeiro,July 2003 | null | 10.1142/9789812704030_0063 | null | hep-th quant-ph | null | Quantum vacuum energy has been known to have observable consequences since
1948 when Casimir calculated the force of attraction between parallel uncharged
plates, a phenomenon confirmed experimentally with ever increasing precision.
Casimir himself suggested that a similar attractive self-stress existed for a
conducting spherical shell, but Boyer obtained a repulsive stress. Other
geometries and higher dimensions have been considered over the years. Local
effects, and divergences associated with surfaces and edges have been
investigated by several authors. Quite recently, Graham et al. have re-examined
such calculations, using conventional techniques of perturbative quantum field
theory to remove divergences, and have suggested that previous self-stress
results may be suspect. Here we show that most of the examples considered in
their work are misleading; in particular, it is well-known that in two
dimensions a circular boundary has a divergence in the Casimir energy for
massless fields, while for general dimension $D$ not equal to an even integer
the corresponding Casimir energy arising from massless fields interior and
exterior to a hyperspherical shell is finite. It has also long been recognized
that the Casimir energy for massive fields is divergent for curved boundaries.
These conclusions are reinforced by a calculation of the relevant leading
Feynman diagram in $D$ dimensions. Divergences do occur in third order, as has
been recognized for many years, but this logarithmic divergence is of
questionable relevance to real shells.
| [
{
"created": "Sat, 17 Jan 2004 00:26:52 GMT",
"version": "v1"
}
] | 2016-11-09 | [
[
"Milton",
"Kimball A.",
""
]
] | Quantum vacuum energy has been known to have observable consequences since 1948 when Casimir calculated the force of attraction between parallel uncharged plates, a phenomenon confirmed experimentally with ever increasing precision. Casimir himself suggested that a similar attractive self-stress existed for a conducting spherical shell, but Boyer obtained a repulsive stress. Other geometries and higher dimensions have been considered over the years. Local effects, and divergences associated with surfaces and edges have been investigated by several authors. Quite recently, Graham et al. have re-examined such calculations, using conventional techniques of perturbative quantum field theory to remove divergences, and have suggested that previous self-stress results may be suspect. Here we show that most of the examples considered in their work are misleading; in particular, it is well-known that in two dimensions a circular boundary has a divergence in the Casimir energy for massless fields, while for general dimension $D$ not equal to an even integer the corresponding Casimir energy arising from massless fields interior and exterior to a hyperspherical shell is finite. It has also long been recognized that the Casimir energy for massive fields is divergent for curved boundaries. These conclusions are reinforced by a calculation of the relevant leading Feynman diagram in $D$ dimensions. Divergences do occur in third order, as has been recognized for many years, but this logarithmic divergence is of questionable relevance to real shells. |
hep-th/9905039 | Raphael Dias Martins De Paola | R.D.M. De Paola, R.B. Rodrigues and N.F. Svaiter | Casimir Energy of Massless Fermions in the Slab-bag | 14 pages, 1 figure, Latex | Mod.Phys.Lett. A14 (1999) 2353-2362 | 10.1142/S0217732399002431 | CBPF-NF-020-99 | hep-th | null | The zero-point energy of a massless fermion field in the interior of two
parallel plates in a D-dimensional space-time at zero temperature is
calculated. In order to regularize the model, a mix between dimensional and
zeta-function regularization procedure is used and it is found that the
regularized zero-point energy density is finite for any number of space-time
dimensions. We present a general expression for the Casimir energy for the
fermionic field in such a situation.
| [
{
"created": "Wed, 5 May 1999 21:16:27 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"De Paola",
"R. D. M.",
""
],
[
"Rodrigues",
"R. B.",
""
],
[
"Svaiter",
"N. F.",
""
]
] | The zero-point energy of a massless fermion field in the interior of two parallel plates in a D-dimensional space-time at zero temperature is calculated. In order to regularize the model, a mix between dimensional and zeta-function regularization procedure is used and it is found that the regularized zero-point energy density is finite for any number of space-time dimensions. We present a general expression for the Casimir energy for the fermionic field in such a situation. |
1504.02994 | Edward Olszewski | Edward A. Olszewski | Dyons, Superstrings, and Wormholes | 26 pages, 4 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct dyon solutions on a collection of coincident D4-branes, obtained
by applying the group of T-duality transformations to a type I SO(32)
superstring theory in 10 dimensions. The dyon solutions, which are exact, are
obtained from an action consisting of the non-abelian Dirac-Born-Infeld action
and Wess-Zumino-like action. When one of the spatial dimensions of the
D4-branes is taken to be vanishingly small, the dyons are analogous to the 't
Hooft/Polyakov monopole residing in a 3+1 dimensional spacetime, where the
component of the Yang-Mills potential transforming as a Lorentz scalar is
re-interpreted as a Higgs boson transforming in the adjoint representation of
the gauge group. We next apply a T-duality transformation to the vanishingly
small spatial dimension. The result is a collection of D3-branes not all of
which are coincident. Two of the D3-branes which are separated from the others
acquire intrinsic, finite, curvature and are connected by a wormhole. The dyon
possesses electric and magnetic charges whose values on each D3-brane are the
negative of one another. The gravitational effects, which arise after the
T-duality transformation, occur despite the fact that the Lagrangian density
from which the dyon solutions have been obtained does not explicitly include
the gravitational interaction. These solutions provide a simple example of the
subtle relationship between the Yang-Mills and gravitational interactions, i.e.
gauge/gravity duality.
| [
{
"created": "Sun, 12 Apr 2015 17:25:26 GMT",
"version": "v1"
}
] | 2015-04-14 | [
[
"Olszewski",
"Edward A.",
""
]
] | We construct dyon solutions on a collection of coincident D4-branes, obtained by applying the group of T-duality transformations to a type I SO(32) superstring theory in 10 dimensions. The dyon solutions, which are exact, are obtained from an action consisting of the non-abelian Dirac-Born-Infeld action and Wess-Zumino-like action. When one of the spatial dimensions of the D4-branes is taken to be vanishingly small, the dyons are analogous to the 't Hooft/Polyakov monopole residing in a 3+1 dimensional spacetime, where the component of the Yang-Mills potential transforming as a Lorentz scalar is re-interpreted as a Higgs boson transforming in the adjoint representation of the gauge group. We next apply a T-duality transformation to the vanishingly small spatial dimension. The result is a collection of D3-branes not all of which are coincident. Two of the D3-branes which are separated from the others acquire intrinsic, finite, curvature and are connected by a wormhole. The dyon possesses electric and magnetic charges whose values on each D3-brane are the negative of one another. The gravitational effects, which arise after the T-duality transformation, occur despite the fact that the Lagrangian density from which the dyon solutions have been obtained does not explicitly include the gravitational interaction. These solutions provide a simple example of the subtle relationship between the Yang-Mills and gravitational interactions, i.e. gauge/gravity duality. |
hep-th/9704009 | Jose M. Figueroa-O'Farrill | JM Figueroa-O'Farrill | F-Theory and the universal string theory | 11 pages | null | null | QMW-PH-97-11 | hep-th | null | We apply the techniques of the ``universal string theory'' to the
``manifold'' paradigm for superstring/M-theory and come up with a candidate
manifold: the manifold of F-theory vacua, defined in conformal field
theoretical terms. It contains the five known superstring theories as
particular vacua; although the natural vacua are (10+2)-dimensional. As a
byproduct, a natural explanation emerges for the compactness of the extra two
coordinates in F-theory.
| [
{
"created": "Tue, 1 Apr 1997 23:56:18 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Figueroa-O'Farrill",
"JM",
""
]
] | We apply the techniques of the ``universal string theory'' to the ``manifold'' paradigm for superstring/M-theory and come up with a candidate manifold: the manifold of F-theory vacua, defined in conformal field theoretical terms. It contains the five known superstring theories as particular vacua; although the natural vacua are (10+2)-dimensional. As a byproduct, a natural explanation emerges for the compactness of the extra two coordinates in F-theory. |
hep-th/9809081 | Eve Mariel Santangelo | C. G. Beneventano, M. De Francia and E. M. Santangelo | Dirac fields in the background of a magnetic flux string and spectral
boundary conditions | 9 pages, 1 figure Two references added To be published in
International Journal of Modern Physics A | Int.J.Mod.Phys. A14 (1999) 4749-4762 | 10.1142/S0217751X99002232 | LA PLATA-TH98/14 | hep-th | null | We study the problem of a Dirac field in the background of an Aharonov-Bohm
flux string. We exclude the origin by imposing spectral boundary conditions at
a finite radius then shrinked to zero. Thus, we obtain a behaviour of
eigenfunctions which is compatible with the self-adjointness of the radial
Hamiltonian and the invariance under integer translations of the reduced flux.
After confining the theory to a finite region, we check the consistency with
the index theorem, and evaluate its vacuum fermionic number and Casimir energy.
| [
{
"created": "Fri, 11 Sep 1998 21:10:23 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Mar 1999 16:43:30 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Beneventano",
"C. G.",
""
],
[
"De Francia",
"M.",
""
],
[
"Santangelo",
"E. M.",
""
]
] | We study the problem of a Dirac field in the background of an Aharonov-Bohm flux string. We exclude the origin by imposing spectral boundary conditions at a finite radius then shrinked to zero. Thus, we obtain a behaviour of eigenfunctions which is compatible with the self-adjointness of the radial Hamiltonian and the invariance under integer translations of the reduced flux. After confining the theory to a finite region, we check the consistency with the index theorem, and evaluate its vacuum fermionic number and Casimir energy. |
1505.00492 | Valeri Frolov P | Valeri P. Frolov | Mass-gap for black hole formation in higher derivative and ghost free
gravity | 4 pages | Phys. Rev. Lett. 115, 051102 (2015) | 10.1103/PhysRevLett.115.051102 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a spherical gravitational collapse of a small mass in higher
derivative and ghost free theories of gravity. By boosting a solution of
linearized equations for a static point mass in such theories we obtain in the
Penrose limit the gravitational field of an ultra-relativistic particle. Taking
a superposition of such solutions we construct a metric of a collapsing null
shell in the linearized higher derivative and ghost free gravity. The latter
allows one to find the gravitational field of a thick null shell. By analysing
these solutions we demonstrate that in a wide class of the higher dimensional
theories of gravity as well as for the ghost free gravity there exists a mass
gap for the mini black hole production. We also found conditions when the
curvature invariants remain finite at $r=0$ for the collapse of the thick null
shell.
| [
{
"created": "Sun, 3 May 2015 23:00:49 GMT",
"version": "v1"
}
] | 2015-08-05 | [
[
"Frolov",
"Valeri P.",
""
]
] | We study a spherical gravitational collapse of a small mass in higher derivative and ghost free theories of gravity. By boosting a solution of linearized equations for a static point mass in such theories we obtain in the Penrose limit the gravitational field of an ultra-relativistic particle. Taking a superposition of such solutions we construct a metric of a collapsing null shell in the linearized higher derivative and ghost free gravity. The latter allows one to find the gravitational field of a thick null shell. By analysing these solutions we demonstrate that in a wide class of the higher dimensional theories of gravity as well as for the ghost free gravity there exists a mass gap for the mini black hole production. We also found conditions when the curvature invariants remain finite at $r=0$ for the collapse of the thick null shell. |
1407.3762 | Chandrasekhar Bhamidipati | Chandrasekhar Bhamidipati and Koushik Ray | Beta-gamma system, pure spinors and Hilbert series of arc spaces | 19 pages; sections 2.2, 4.2 and 5, revised for clarity; Macaulay2
code for pure spinors added in appendix A; acknowledgments added; version to
appear in JHEP | null | 10.1007/JHEP01(2015)065 | null | hep-th math.AG math.CO math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Algorithms are presented for calculating the partition function of
constrained beta-gamma systems in terms of the generating functions of the
individual fields of the theory, the latter obtained as the Hilbert series of
the arc space of the algebraic variety defined by the constraint. Examples of a
beta-gamma system on a complex surface with an $A_1$ singularity and pure
spinors are worked out and compared with existing results.
| [
{
"created": "Mon, 14 Jul 2014 18:51:49 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jan 2015 06:42:55 GMT",
"version": "v2"
}
] | 2015-06-22 | [
[
"Bhamidipati",
"Chandrasekhar",
""
],
[
"Ray",
"Koushik",
""
]
] | Algorithms are presented for calculating the partition function of constrained beta-gamma systems in terms of the generating functions of the individual fields of the theory, the latter obtained as the Hilbert series of the arc space of the algebraic variety defined by the constraint. Examples of a beta-gamma system on a complex surface with an $A_1$ singularity and pure spinors are worked out and compared with existing results. |
1512.03142 | Sang Pyo Kim | Sang Pyo Kim | Scalar QED Action Density and Schwinger Pair Production in (A)dS_2 | MG14, talk at session SF1-2, LaTex 8 pages, 2 figures | null | 10.1142/9789813226609_0545 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the one-loop effective action in scalar QED and the Schwinger
effect in a uniform electric field in a two-dimensional (anti-) de Sitter
space. The Schwinger effect has a thermal interpretation in terms of the
effective temperature introduced by Cai and Kim. We propose a method to find
the density of states for the charged scalar and obtain the QED action density
and the pair-production rate in the in-out formalism.
| [
{
"created": "Thu, 10 Dec 2015 06:09:38 GMT",
"version": "v1"
}
] | 2017-12-07 | [
[
"Kim",
"Sang Pyo",
""
]
] | We review the one-loop effective action in scalar QED and the Schwinger effect in a uniform electric field in a two-dimensional (anti-) de Sitter space. The Schwinger effect has a thermal interpretation in terms of the effective temperature introduced by Cai and Kim. We propose a method to find the density of states for the charged scalar and obtain the QED action density and the pair-production rate in the in-out formalism. |
hep-th/0312241 | Yastoshi Takayama | Takaaki Imai, Yastoshi Takayama | Stability of fuzzy $S^2 \times S^2$ geometry in IIB matrix model | 16 pages, 5 figures, latex, published version in Nucl. Phys. B | Nucl.Phys. B686 (2004) 248-260 | 10.1016/j.nuclphysb.2004.03.008 | KEK-TH-932 | hep-th | null | We continue our study of the IIB matrix model on fuzzy $S^2 \times S^2$.
Especially in this paper we focus on the case where the size of one of
$S^2\times S^2$ is different from the other. By the power counting and SUSY
cancellation arguments, we can identify the 't Hooft coupling and large $N$
scaling behavior of the effective action to all orders. We conclude that the
most symmetric $S^2 \times S^2$ configuration where the both $S^2$s are of the
same size is favored at the two loop level. In addition we develop a new
approach to evaluate the amplitudes on fuzzy $S^2 \times S^2$.
| [
{
"created": "Fri, 19 Dec 2003 11:45:32 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Jan 2004 11:29:46 GMT",
"version": "v2"
},
{
"created": "Tue, 3 Feb 2004 08:47:21 GMT",
"version": "v3"
},
{
"created": "Thu, 5 Feb 2004 03:37:05 GMT",
"version": "v4"
},
{
"cre... | 2009-11-10 | [
[
"Imai",
"Takaaki",
""
],
[
"Takayama",
"Yastoshi",
""
]
] | We continue our study of the IIB matrix model on fuzzy $S^2 \times S^2$. Especially in this paper we focus on the case where the size of one of $S^2\times S^2$ is different from the other. By the power counting and SUSY cancellation arguments, we can identify the 't Hooft coupling and large $N$ scaling behavior of the effective action to all orders. We conclude that the most symmetric $S^2 \times S^2$ configuration where the both $S^2$s are of the same size is favored at the two loop level. In addition we develop a new approach to evaluate the amplitudes on fuzzy $S^2 \times S^2$. |
1207.0787 | Oleg Lisovyy | O. Gamayun, N. Iorgov, O. Lisovyy | Conformal field theory of Painlev\'e VI | 24 pages, 1 figure; v3: added refs and minor clarifications, few
typos corrected; to appear in JHEP | JHEP 10 (2012) 038 | 10.1007/JHEP10(2012)038 | null | hep-th math-ph math.CA math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Generic Painlev\'e VI tau function \tau(t) can be interpreted as four-point
correlator of primary fields of arbitrary dimensions in 2D CFT with c=1. Using
AGT combinatorial representation of conformal blocks and determining the
corresponding structure constants, we obtain full and completely explicit
expansion of \tau(t) near the singular points. After a check of this expansion,
we discuss examples of conformal blocks arising from Riccati, Picard, Chazy and
algebraic solutions of Painlev\'e VI.
| [
{
"created": "Tue, 3 Jul 2012 19:14:18 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jul 2012 19:07:35 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Oct 2012 22:40:24 GMT",
"version": "v3"
}
] | 2013-12-19 | [
[
"Gamayun",
"O.",
""
],
[
"Iorgov",
"N.",
""
],
[
"Lisovyy",
"O.",
""
]
] | Generic Painlev\'e VI tau function \tau(t) can be interpreted as four-point correlator of primary fields of arbitrary dimensions in 2D CFT with c=1. Using AGT combinatorial representation of conformal blocks and determining the corresponding structure constants, we obtain full and completely explicit expansion of \tau(t) near the singular points. After a check of this expansion, we discuss examples of conformal blocks arising from Riccati, Picard, Chazy and algebraic solutions of Painlev\'e VI. |
2304.09428 | Yuhang Zhu | Xi Tong, Yi Wang, Chen Zhang and Yuhang Zhu | BCS in the Sky: Signatures of Inflationary Fermion Condensation | 33 pages, 8 figures, v2: minor changes, typos corrected | null | 10.1088/1475-7516/2024/04/022 | null | hep-th astro-ph.CO gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | We consider a Bardeen-Cooper-Schrieffer (BCS)-like model in the inflationary
background. We show that with an axial chemical potential, the attractive
quartic fermion self-interaction can lead to a BCS-like condensation. In the
rigid-de Sitter (dS) limit of inflation where backreaction from the inflaton
and graviton is neglected, we perform the first computation of the
non-perturbative effective potential that includes the full spacetime curvature
effects in the presence of the chemical potential, subject to the mean-field
approximation whose validity has been checked via the Ginzburg criterion. The
corresponding BCS phase transition is always first-order, when the varying
Hubble is interpreted as an effective Gibbons-Hawking temperature of dS
spacetime. In the condensed phase, the theory can be understood from UV and IR
sides as fermionic and bosonic, respectively. This leads to distinctive
signatures in the primordial non-Gaussianity of curvature perturbations.
Namely, the oscillatory cosmological collider signal is smoothly turned off at
a finite momentum ratio, since different momentum ratios effectively probe
different energy scales. In addition, such BCS phase transitions can also
source stochastic gravitational waves, which are feasible for future
experiments.
| [
{
"created": "Wed, 19 Apr 2023 05:56:22 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jun 2024 08:38:14 GMT",
"version": "v2"
}
] | 2024-06-11 | [
[
"Tong",
"Xi",
""
],
[
"Wang",
"Yi",
""
],
[
"Zhang",
"Chen",
""
],
[
"Zhu",
"Yuhang",
""
]
] | We consider a Bardeen-Cooper-Schrieffer (BCS)-like model in the inflationary background. We show that with an axial chemical potential, the attractive quartic fermion self-interaction can lead to a BCS-like condensation. In the rigid-de Sitter (dS) limit of inflation where backreaction from the inflaton and graviton is neglected, we perform the first computation of the non-perturbative effective potential that includes the full spacetime curvature effects in the presence of the chemical potential, subject to the mean-field approximation whose validity has been checked via the Ginzburg criterion. The corresponding BCS phase transition is always first-order, when the varying Hubble is interpreted as an effective Gibbons-Hawking temperature of dS spacetime. In the condensed phase, the theory can be understood from UV and IR sides as fermionic and bosonic, respectively. This leads to distinctive signatures in the primordial non-Gaussianity of curvature perturbations. Namely, the oscillatory cosmological collider signal is smoothly turned off at a finite momentum ratio, since different momentum ratios effectively probe different energy scales. In addition, such BCS phase transitions can also source stochastic gravitational waves, which are feasible for future experiments. |
hep-th/9602027 | Christof Gattringer | Christof Gattringer | Discussing the U(1)-Problem of QED_2 without Instantons | Accepted for publication in Annals of Physics | Annals Phys. 250 (1996) 389-419 | 10.1006/aphy.1996.0098 | MPI-Ph/95-52 | hep-th | null | We construct QED_2 with mass and flavor and an extra Thirring term. The
vacuum expectation values are carefully decomposed into clustering states using
the U(1)-axial symmetry of the considered operators and a limiting procedure.
The properties of the emerging expectation functional are compared to the
proposed theta-vacuum of QCD. The massive theory is bosonized to a generalized
Sine-Gordon model (GSG). The structure of the vacuum of QED_2 manifests itself
in symmetry properties of the GSG. We study the U(1)-problem and derive a
Witten-Veneziano-type formula for the masses of the pseudoscalars determined
from a semiclassical approximation.
| [
{
"created": "Tue, 6 Feb 1996 12:47:35 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Gattringer",
"Christof",
""
]
] | We construct QED_2 with mass and flavor and an extra Thirring term. The vacuum expectation values are carefully decomposed into clustering states using the U(1)-axial symmetry of the considered operators and a limiting procedure. The properties of the emerging expectation functional are compared to the proposed theta-vacuum of QCD. The massive theory is bosonized to a generalized Sine-Gordon model (GSG). The structure of the vacuum of QED_2 manifests itself in symmetry properties of the GSG. We study the U(1)-problem and derive a Witten-Veneziano-type formula for the masses of the pseudoscalars determined from a semiclassical approximation. |
2010.16017 | Abhik Kumar Sanyal Dr. | Subhra Debnath and Abhik Kumar Sanyal | Canonical equivalence in anisotropic models for higher order theory of
gravity | 17 pages, 0 figure | null | 10.1142/S0219887821500584 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that as in the case of isotropic models, the `Dirac Algorithm' and
`Modified Horowitz' Formalism' lead to identical phase-space structure of the
Hamiltonian for the gravitational action with curvature squared terms, in
anisotropic space-time, viz, Bianchi-I, Bianchi-III and Kantowski-Sachs models
too.
| [
{
"created": "Fri, 30 Oct 2020 01:33:58 GMT",
"version": "v1"
}
] | 2021-03-31 | [
[
"Debnath",
"Subhra",
""
],
[
"Sanyal",
"Abhik Kumar",
""
]
] | We show that as in the case of isotropic models, the `Dirac Algorithm' and `Modified Horowitz' Formalism' lead to identical phase-space structure of the Hamiltonian for the gravitational action with curvature squared terms, in anisotropic space-time, viz, Bianchi-I, Bianchi-III and Kantowski-Sachs models too. |
1201.5300 | Gaber Faisel Dr | Gaber Faisel, Dong-Won Jung and Otto C. W. Kong | Dynamical Symmetry Breaking in Supersymmetric Extensions of
Nambu-Jona-Lasinio Model | 7 pages, 2 figures, talk presented in the 2011 International Workshop
on Future Linear Colliders (LCWS11), Granada, Spain | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we discuss Nambu-Jona-Lasinio model as a classical model for
dynamical mass generation and symmetry breaking. In addition we discuss the
possible supersymmetric extensions of this model resulting from interaction
terms with four chiral superfields that may be regarded as a supersymmetric
generalization of the four-fermion interactions of the Nambu-Jona-Lasinio
model. A four-superfield interaction terms can be constructed as either
dimension 6 or dimension 5 operators. Through analyzing solutions to the gap
equations, we discuss the dynamical generation of superfield Dirac mass,
including a supersymmetry breaking part. A dynamical symmetry breaking
generally goes along with the dynamical mass generation, for which a
bi-superfield condensate is responsible.
| [
{
"created": "Wed, 25 Jan 2012 15:32:14 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Aug 2012 06:59:57 GMT",
"version": "v2"
}
] | 2012-08-28 | [
[
"Faisel",
"Gaber",
""
],
[
"Jung",
"Dong-Won",
""
],
[
"Kong",
"Otto C. W.",
""
]
] | In this paper we discuss Nambu-Jona-Lasinio model as a classical model for dynamical mass generation and symmetry breaking. In addition we discuss the possible supersymmetric extensions of this model resulting from interaction terms with four chiral superfields that may be regarded as a supersymmetric generalization of the four-fermion interactions of the Nambu-Jona-Lasinio model. A four-superfield interaction terms can be constructed as either dimension 6 or dimension 5 operators. Through analyzing solutions to the gap equations, we discuss the dynamical generation of superfield Dirac mass, including a supersymmetry breaking part. A dynamical symmetry breaking generally goes along with the dynamical mass generation, for which a bi-superfield condensate is responsible. |
hep-th/0209089 | S. Prem Kumar | Nick Dorey, Timothy J. Hollowood, S. Prem Kumar and Annamaria
Sinkovics | Exact Superpotentials from Matrix Models | 28 pages, 1 figure, latex with JHEP.cls, replaced with typos
corrected and one clarifying comment | JHEP 0211:039,2002 | 10.1088/1126-6708/2002/11/039 | SWAT-350 | hep-th | null | Dijkgraaf and Vafa (DV) have conjectured that the exact superpotential for a
large class of N=1 SUSY gauge theories can be extracted from the planar limit
of a certain holomorphic matrix integral. We test their proposal against
existing knowledge for a family of deformations of N=4 SUSY Yang-Mills theory
involving an arbitrary polynomial superpotential for one of the three adjoint
chiral superfields. Specifically, we compare the DV prediction for these models
with earlier results based on the connection between SUSY gauge theories and
integrable systems. We find complete agreement between the two approaches. In
particular we show how the DV proposal allows the extraction of the exact
eigenvalues of the adjoint scalar in the confining vacuum and hence computes
all related condensates of the finite-N gauge theory. We extend these results
to include Leigh-Strassler deformations of the N=4 theory.
| [
{
"created": "Tue, 10 Sep 2002 18:11:25 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Sep 2002 16:03:49 GMT",
"version": "v2"
}
] | 2010-12-03 | [
[
"Dorey",
"Nick",
""
],
[
"Hollowood",
"Timothy J.",
""
],
[
"Kumar",
"S. Prem",
""
],
[
"Sinkovics",
"Annamaria",
""
]
] | Dijkgraaf and Vafa (DV) have conjectured that the exact superpotential for a large class of N=1 SUSY gauge theories can be extracted from the planar limit of a certain holomorphic matrix integral. We test their proposal against existing knowledge for a family of deformations of N=4 SUSY Yang-Mills theory involving an arbitrary polynomial superpotential for one of the three adjoint chiral superfields. Specifically, we compare the DV prediction for these models with earlier results based on the connection between SUSY gauge theories and integrable systems. We find complete agreement between the two approaches. In particular we show how the DV proposal allows the extraction of the exact eigenvalues of the adjoint scalar in the confining vacuum and hence computes all related condensates of the finite-N gauge theory. We extend these results to include Leigh-Strassler deformations of the N=4 theory. |
1301.1536 | Burkhard U.W. Schwab | Burkhard U. W. Schwab and Cristian Vergu | Twistors, Harmonics and Holomorphic Chern-Simons | 34 pages, 3 figures, v2: replaced with published version, v3: Added
reference | JHEP03(2013)046 | 10.1007/JHEP03(2013)046 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the off-shell N=3 action of N=4 super Yang-Mills can be written
as a holomorphic Chern-Simons action whose Dolbeault operator is constructed
from a complex-real (CR) structure of harmonic space. We also show that the
local space-time operators can be written as a Penrose transform on the coset
SU(3)/(U(1) \times U(1)). We observe a strong similarity to ambitwistor space
constructions.
| [
{
"created": "Tue, 8 Jan 2013 13:56:36 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Mar 2013 12:51:53 GMT",
"version": "v2"
},
{
"created": "Mon, 27 May 2013 14:46:23 GMT",
"version": "v3"
}
] | 2013-05-28 | [
[
"Schwab",
"Burkhard U. W.",
""
],
[
"Vergu",
"Cristian",
""
]
] | We show that the off-shell N=3 action of N=4 super Yang-Mills can be written as a holomorphic Chern-Simons action whose Dolbeault operator is constructed from a complex-real (CR) structure of harmonic space. We also show that the local space-time operators can be written as a Penrose transform on the coset SU(3)/(U(1) \times U(1)). We observe a strong similarity to ambitwistor space constructions. |
1902.00538 | Mikhail Plyushchay | Luis Inzunza and Mikhail S. Plyushchay | Klein four-group and Darboux duality in conformal mechanics | 42 pages, 5 figures. Published version | Phys. Rev. D 99, 125016 (2019) | 10.1103/PhysRevD.99.125016 | null | hep-th math-ph math.MP nlin.SI quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Klein four-group $(K_4)$ symmetry of the time-dependent
Schr\"odinger equation for the conformal mechanics model of de
Alfaro-Fubini-Furlan (AFF) with confining harmonic potential and coupling
constant $g=\nu(\nu+1)\geq -1/4$. We show that it undergoes a complete or
partial (at half-integer $\nu$) breaking on eigenstates of the system, and is
the automorphism of the $\mathfrak{osp}(2,2)$ superconformal symmetry in
super-extensions of the model by inducing a transformation between the exact
and spontaneously broken phases of $\mathcal{N}=2$ Poincar\'e supersymmetry. We
exploit the $K_4$ symmetry and its relation with the conformal symmetry to
construct the dual Darboux transformations which generate spectrally shifted
pairs of the rationally deformed AFF models. Two distinct pairs of intertwining
operators originated from Darboux duality allow us to construct complete sets
of the spectrum generating ladder operators that identify specific finite-gap
structure of a deformed system and generate three distinct related versions of
nonlinearly deformed $\mathfrak{sl}(2,{\mathbb R})$ algebra as its symmetry. We
show that at half-integer $\nu$, the Jordan states associated with confluent
Darboux transformations enter the construction, and the spectrum of rationally
deformed AFF systems undergoes structural changes.
| [
{
"created": "Fri, 1 Feb 2019 19:51:12 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Feb 2019 17:20:33 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Jun 2019 04:46:11 GMT",
"version": "v3"
}
] | 2019-07-03 | [
[
"Inzunza",
"Luis",
""
],
[
"Plyushchay",
"Mikhail S.",
""
]
] | We study the Klein four-group $(K_4)$ symmetry of the time-dependent Schr\"odinger equation for the conformal mechanics model of de Alfaro-Fubini-Furlan (AFF) with confining harmonic potential and coupling constant $g=\nu(\nu+1)\geq -1/4$. We show that it undergoes a complete or partial (at half-integer $\nu$) breaking on eigenstates of the system, and is the automorphism of the $\mathfrak{osp}(2,2)$ superconformal symmetry in super-extensions of the model by inducing a transformation between the exact and spontaneously broken phases of $\mathcal{N}=2$ Poincar\'e supersymmetry. We exploit the $K_4$ symmetry and its relation with the conformal symmetry to construct the dual Darboux transformations which generate spectrally shifted pairs of the rationally deformed AFF models. Two distinct pairs of intertwining operators originated from Darboux duality allow us to construct complete sets of the spectrum generating ladder operators that identify specific finite-gap structure of a deformed system and generate three distinct related versions of nonlinearly deformed $\mathfrak{sl}(2,{\mathbb R})$ algebra as its symmetry. We show that at half-integer $\nu$, the Jordan states associated with confluent Darboux transformations enter the construction, and the spectrum of rationally deformed AFF systems undergoes structural changes. |
hep-th/9902168 | Paul H. Frampton | Paul H. Frampton and William F. Shively | Conformal N=0 d=4 Gauge Theories from AdS/CFT Superstring Duality? | 10 pages LaTeX. Added clarification of 1/N in one loop | Phys.Lett. B454 (1999) 49-52 | 10.1016/S0370-2693(99)00359-7 | IFP-768-UNC | hep-th | null | Non-supersymmetric d=4 gauge theories which arise from superstring duality on
a manifold $AdS_5 \times S_5/Z_p$ are cataloged for a range $2 \leq p \leq 41$.
A number have vanishing two-loop gauge \beta-function, a necessary but not
sufficient condition to be a conformal field theory.
| [
{
"created": "Tue, 23 Feb 1999 19:12:46 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Mar 1999 18:35:10 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Frampton",
"Paul H.",
""
],
[
"Shively",
"William F.",
""
]
] | Non-supersymmetric d=4 gauge theories which arise from superstring duality on a manifold $AdS_5 \times S_5/Z_p$ are cataloged for a range $2 \leq p \leq 41$. A number have vanishing two-loop gauge \beta-function, a necessary but not sufficient condition to be a conformal field theory. |
1012.4108 | Angel De Paoli | C. G. Bollini and M. C. Rocca | Study of the Wheeler Propagator | 47 pages, no figures. Extended version of the paper The Wheeler
Propagator | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the half advanced and half retarded Wheeler Green function and its
relation to Feynman propagators. First for massless equation. Then, for
Klein-Gordon equations with arbitrary mass parameters; real, imaginary or
complex. In all cases the Wheeler propagator lacks an on-shell free
propagation. The Wheeler function has support inside the light-cone (whatever
the mass). The associated vacuum is symmetric with respect to annihilation and
creation operators.
| [
{
"created": "Sat, 18 Dec 2010 17:33:59 GMT",
"version": "v1"
}
] | 2010-12-21 | [
[
"Bollini",
"C. G.",
""
],
[
"Rocca",
"M. C.",
""
]
] | We study the half advanced and half retarded Wheeler Green function and its relation to Feynman propagators. First for massless equation. Then, for Klein-Gordon equations with arbitrary mass parameters; real, imaginary or complex. In all cases the Wheeler propagator lacks an on-shell free propagation. The Wheeler function has support inside the light-cone (whatever the mass). The associated vacuum is symmetric with respect to annihilation and creation operators. |
1107.5041 | Gianluca Calcagni | Gianluca Calcagni | Geometry and field theory in multi-fractional spacetime | 1+82 pages, 1 figure, 2 tables. v2-3: discussions clarified and
improved (especially section 4.5), typos corrected, references added; v4:
further typos corrected | JHEP01(2012)065 | 10.1007/JHEP01(2012)065 | AEI-2011-037 | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a theory of fields living on continuous geometries with
fractional Hausdorff and spectral dimensions, focussing on a flat background
analogous to Minkowski spacetime. After reviewing the properties of fractional
spaces with fixed dimension, presented in a companion paper, we generalize to a
multi-fractional scenario inspired by multi-fractal geometry, where the
dimension changes with the scale. This is related to the renormalization group
properties of fractional field theories, illustrated by the example of a scalar
field. Depending on the symmetries of the Lagrangian, one can define two
models. In one of them, the effective dimension flows from 2 in the ultraviolet
(UV) and geometry constrains the infrared limit to be four-dimensional. At the
UV critical value, the model is rendered power-counting renormalizable.
However, this is not the most fundamental regime. Compelling arguments of
fractal geometry require an extension of the fractional action measure to
complex order. In doing so, we obtain a hierarchy of scales characterizing
different geometric regimes. At very small scales, discrete symmetries emerge
and the notion of a continuous spacetime begins to blur, until one reaches a
fundamental scale and an ultra-microscopic fractal structure. This fine
hierarchy of geometries has implications for non-commutative theories and
discrete quantum gravity. In the latter case, the present model can be viewed
as a top-down realization of a quantum-discrete to classical-continuum
transition.
| [
{
"created": "Mon, 25 Jul 2011 20:00:02 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Nov 2011 12:45:23 GMT",
"version": "v2"
},
{
"created": "Sat, 3 Dec 2011 09:02:21 GMT",
"version": "v3"
},
{
"created": "Wed, 18 Jan 2012 09:30:31 GMT",
"version": "v4"
}
] | 2012-01-19 | [
[
"Calcagni",
"Gianluca",
""
]
] | We construct a theory of fields living on continuous geometries with fractional Hausdorff and spectral dimensions, focussing on a flat background analogous to Minkowski spacetime. After reviewing the properties of fractional spaces with fixed dimension, presented in a companion paper, we generalize to a multi-fractional scenario inspired by multi-fractal geometry, where the dimension changes with the scale. This is related to the renormalization group properties of fractional field theories, illustrated by the example of a scalar field. Depending on the symmetries of the Lagrangian, one can define two models. In one of them, the effective dimension flows from 2 in the ultraviolet (UV) and geometry constrains the infrared limit to be four-dimensional. At the UV critical value, the model is rendered power-counting renormalizable. However, this is not the most fundamental regime. Compelling arguments of fractal geometry require an extension of the fractional action measure to complex order. In doing so, we obtain a hierarchy of scales characterizing different geometric regimes. At very small scales, discrete symmetries emerge and the notion of a continuous spacetime begins to blur, until one reaches a fundamental scale and an ultra-microscopic fractal structure. This fine hierarchy of geometries has implications for non-commutative theories and discrete quantum gravity. In the latter case, the present model can be viewed as a top-down realization of a quantum-discrete to classical-continuum transition. |
1012.4790 | John Dixon | John A. Dixon | Supersymmetry Breaks Itself for Quarks and Leptons in the SUSY Standard
Model | 19 pages | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Models like the Supersymmetric Standard Model (SSM) possess simple, but
well-hidden, `Outfields'. These Outfields are composite operators that violate
superspace invariance, but in a special way. A new mechanism for SUSY breaking
arises from the Outfields, for a special non-minimal version of the SSM, which
will be called the CSSM. The CSSM has right neutrinos and a Higgs singlet,
which we call J, in addition to the usual SSM. This breaking of SUSY cannot be
avoided, because it arises from the local BRST cohomology of the theory, which
is also the origin of the Outfields. It can also be seen that the Weak SU(2)
group, and the well-known remarkable set of doublets and singlets for the
Quarks, Leptons and Higgs, have a raison d'etre which relates to this
mechanism. The SUSY breaking here depends on only one parameter, which is the
VEV that breaks SU(2) X U(1) to U(1). SUSY itself is not spontaneously broken
here, so the vacuum energy remains zero after SUSY breaking. The resulting
predictions for SUSY breaking are very constrained by the model.
| [
{
"created": "Tue, 21 Dec 2010 20:46:42 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Dec 2010 03:38:40 GMT",
"version": "v2"
}
] | 2010-12-23 | [
[
"Dixon",
"John A.",
""
]
] | Models like the Supersymmetric Standard Model (SSM) possess simple, but well-hidden, `Outfields'. These Outfields are composite operators that violate superspace invariance, but in a special way. A new mechanism for SUSY breaking arises from the Outfields, for a special non-minimal version of the SSM, which will be called the CSSM. The CSSM has right neutrinos and a Higgs singlet, which we call J, in addition to the usual SSM. This breaking of SUSY cannot be avoided, because it arises from the local BRST cohomology of the theory, which is also the origin of the Outfields. It can also be seen that the Weak SU(2) group, and the well-known remarkable set of doublets and singlets for the Quarks, Leptons and Higgs, have a raison d'etre which relates to this mechanism. The SUSY breaking here depends on only one parameter, which is the VEV that breaks SU(2) X U(1) to U(1). SUSY itself is not spontaneously broken here, so the vacuum energy remains zero after SUSY breaking. The resulting predictions for SUSY breaking are very constrained by the model. |
hep-th/0302004 | M. V. Ioffe | M. V. Ioffe, A. I. Neelov (S.-Petersburg, Russia) | Pauli equation and the method of supersymmetric factorization | 18 pages, Latex | J.Phys.A36:2493,2003 | 10.1088/0305-4470/36/10/309 | null | hep-th math-ph math.MP quant-ph | null | We consider different variants of factorization of a 2x2 matrix
Schroedinger/Pauli operator in two spatial dimensions. They allow to relate its
spectrum to the sum of spectra of two scalar Schroedinger operators, in a
manner similar to one-dimensional Darboux transformations. We consider both the
case when such factorization is reduced to the ordinary 2-dimensional SUSY QM
quasifactorization and a more general case which involves covariant
derivatives. The admissible classes of electromagnetic fields are described and
some illustrative examples are given.
| [
{
"created": "Sat, 1 Feb 2003 10:23:20 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Ioffe",
"M. V.",
"",
"S.-Petersburg, Russia"
],
[
"Neelov",
"A. I.",
"",
"S.-Petersburg, Russia"
]
] | We consider different variants of factorization of a 2x2 matrix Schroedinger/Pauli operator in two spatial dimensions. They allow to relate its spectrum to the sum of spectra of two scalar Schroedinger operators, in a manner similar to one-dimensional Darboux transformations. We consider both the case when such factorization is reduced to the ordinary 2-dimensional SUSY QM quasifactorization and a more general case which involves covariant derivatives. The admissible classes of electromagnetic fields are described and some illustrative examples are given. |
1707.08888 | Jeffrey Harvey | Jeffrey A. Harvey and Gregory W. Moore | An Uplifting Discussion of T-Duality | 47 pages, claims regarding $Z_4$ valued cocycles removed | null | 10.1007/JHEP05(2018)145 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is well known that string theory has a T-duality symmetry relating circle
compactifications of large and small radius. This symmetry plays a foundational
role in string theory. We note here that while T-duality is order two acting on
the moduli space of compactifications, it is order four in its action on the
conformal field theory state space. More generally, involutions in the Weyl
group $W(G)$ which act at points of enhanced $G$ symmetry have canonical lifts
to order four elements of $G$, a phenomenon first investigated by J. Tits in
the mathematical literature on Lie groups and generalized here to conformal
field theory. This simple fact has a number of interesting consequences. One
consequence is a reevaluation of a mod two condition appearing in asymmetric
orbifold constructions. We also briefly discuss the implications for the idea
that T-duality and its generalizations should be thought of as discrete gauge
symmetries in spacetime.
| [
{
"created": "Thu, 27 Jul 2017 14:42:16 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Aug 2017 18:08:03 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Feb 2018 18:37:37 GMT",
"version": "v3"
},
{
"created": "Mon, 21 May 2018 10:14:46 GMT",
"version": "v4"
}
] | 2018-07-04 | [
[
"Harvey",
"Jeffrey A.",
""
],
[
"Moore",
"Gregory W.",
""
]
] | It is well known that string theory has a T-duality symmetry relating circle compactifications of large and small radius. This symmetry plays a foundational role in string theory. We note here that while T-duality is order two acting on the moduli space of compactifications, it is order four in its action on the conformal field theory state space. More generally, involutions in the Weyl group $W(G)$ which act at points of enhanced $G$ symmetry have canonical lifts to order four elements of $G$, a phenomenon first investigated by J. Tits in the mathematical literature on Lie groups and generalized here to conformal field theory. This simple fact has a number of interesting consequences. One consequence is a reevaluation of a mod two condition appearing in asymmetric orbifold constructions. We also briefly discuss the implications for the idea that T-duality and its generalizations should be thought of as discrete gauge symmetries in spacetime. |
0807.4398 | Pedro J. Silva | Pedro J Silva | Euclidean Methods and the entropy function | Talk given at RTN workshop: Constituents, Fundamental Forces and
Symmetries of the Universe, Valencia (Spain), 1-5 October 2007. 7 pages,
abstract modified for arXiv | Fortschr.Phys.56:856-861,2008 | 10.1002/prop.200810558 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review results of articles hep-th/0607056, hep-th/0610163 and 0704.1405
[hep-th]. Here we focus on establish the connection between the entropy
functional formalism of Sen and the standard Euclidean formalism taken at zero
temperature. We find that Sen's entropy function $f$ (on-shell) matches the
zero temperature limit of the Euclidean action. Moreover, Sen's near horizon
angular and electric fields agree with the chemical potentials that are defined
from the zero-temperature limit of the Euclidean formalism. Connection with the
Dual CFT thermodynamics is briefly discussed.
| [
{
"created": "Mon, 28 Jul 2008 10:38:39 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Silva",
"Pedro J",
""
]
] | We review results of articles hep-th/0607056, hep-th/0610163 and 0704.1405 [hep-th]. Here we focus on establish the connection between the entropy functional formalism of Sen and the standard Euclidean formalism taken at zero temperature. We find that Sen's entropy function $f$ (on-shell) matches the zero temperature limit of the Euclidean action. Moreover, Sen's near horizon angular and electric fields agree with the chemical potentials that are defined from the zero-temperature limit of the Euclidean formalism. Connection with the Dual CFT thermodynamics is briefly discussed. |
0809.0305 | Edward Witten | Sergei Gukov and Edward Witten | Branes and Quantization | 70 pp, v2: references added | null | 10.4310/ATMP.2009.v13.n5.a5 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The problem of quantizing a symplectic manifold (M,\omega) can be formulated
in terms of the A-model of a complexification of M. This leads to an
interesting new perspective on quantization. From this point of view, the
Hilbert space obtained by quantization of (M,\omega) is the space of (Bcc,B')
strings, where Bcc and B' are two A-branes; B' is an ordinary Lagrangian
A-brane, and Bcc is a space-filling coisotropic A-brane. B' is supported on M,
and the choice of \omega is encoded in the choice of Bcc. As an example, we
describe from this point of view the representations of the group SL(2,R).
Another application is to Chern-Simons gauge theory.
| [
{
"created": "Mon, 1 Sep 2008 19:52:50 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Oct 2008 19:54:34 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Gukov",
"Sergei",
""
],
[
"Witten",
"Edward",
""
]
] | The problem of quantizing a symplectic manifold (M,\omega) can be formulated in terms of the A-model of a complexification of M. This leads to an interesting new perspective on quantization. From this point of view, the Hilbert space obtained by quantization of (M,\omega) is the space of (Bcc,B') strings, where Bcc and B' are two A-branes; B' is an ordinary Lagrangian A-brane, and Bcc is a space-filling coisotropic A-brane. B' is supported on M, and the choice of \omega is encoded in the choice of Bcc. As an example, we describe from this point of view the representations of the group SL(2,R). Another application is to Chern-Simons gauge theory. |
hep-th/9706013 | null | A. De Giovanni, M.T. Grisaru, M. Rocek, R. von Unge, D. Zanon | The N=2 Super Yang-Mills Low-Energy Effective Action at Two Loops | 8 pages, Latex, 2 .eps figures | Phys.Lett. B409 (1997) 251-256 | 10.1016/S0370-2693(97)00852-6 | null | hep-th | null | We have carried out a two loop computation of the low-energy effective action
for the four-dimensional N=2 supersymmetric Yang-Mills system coupled to
hypermultiplets, with the chiral superfields of the vector multiplet lying in
an abelian subalgebra. We have found a complete cancellation at the level of
the integrands of Feynman amplitudes, and therefore the two loop contribution
to the action, effective or Wilson, is identically zero.
| [
{
"created": "Mon, 2 Jun 1997 17:11:54 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"De Giovanni",
"A.",
""
],
[
"Grisaru",
"M. T.",
""
],
[
"Rocek",
"M.",
""
],
[
"von Unge",
"R.",
""
],
[
"Zanon",
"D.",
""
]
] | We have carried out a two loop computation of the low-energy effective action for the four-dimensional N=2 supersymmetric Yang-Mills system coupled to hypermultiplets, with the chiral superfields of the vector multiplet lying in an abelian subalgebra. We have found a complete cancellation at the level of the integrands of Feynman amplitudes, and therefore the two loop contribution to the action, effective or Wilson, is identically zero. |
1401.2687 | Dmitry Nesterov | Dmitry Nesterov and Andrei Barvinsky | Microcanonical quantum cosmology: gauge fixing and functional
determinants on a circle | 12 pages, no figures, minor misprints corrected and comments added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Gauge fixing procedure in the path integral for the microcanonical
statistical sum in quantum cosmology is considered in a special class of gauge
conditions free from residual gauge ambiguities. Relevant functional
determinants, path integrals and functional delta-functions on a circle are
considered.
| [
{
"created": "Mon, 13 Jan 2014 00:24:55 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Jan 2015 12:18:58 GMT",
"version": "v2"
}
] | 2015-01-16 | [
[
"Nesterov",
"Dmitry",
""
],
[
"Barvinsky",
"Andrei",
""
]
] | Gauge fixing procedure in the path integral for the microcanonical statistical sum in quantum cosmology is considered in a special class of gauge conditions free from residual gauge ambiguities. Relevant functional determinants, path integrals and functional delta-functions on a circle are considered. |
1310.3566 | Jean-Emile Bourgine | Jean-Emile Bourgine | Notes on Mayer Expansions and Matrix Models | 24 pages, 8 figures, v2: references added, published in NPB | Nuclear Physics, Section B 880C (2014), pp. 476-503 | 10.1016/j.nuclphysb.2014.01.017 | APCTP Pre2013-017 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Mayer cluster expansion is an important tool in statistical physics to
evaluate grand canonical partition functions. It has recently been applied to
the Nekrasov instanton partition function of $\mathcal{N}=2$ 4d gauge theories.
The associated canonical model involves coupled integrations that take the form
of a generalized matrix model. It can be studied with the standard techniques
of matrix models, in particular collective field theory and loop equations. In
the first part of these notes, we explain how the results of collective field
theory can be derived from the cluster expansion. The equalities between free
energies at first orders is explained by the discrete Laplace transform
relating canonical and grand canonical models. In a second part, we study the
canonical loop equations and associate them to similar relations on the grand
canonical side. It leads to relate the multi-point densities, fundamental
objects of the matrix model, to the generating functions of multi-rooted
clusters. Finally, a method is proposed to derive loop equations directly on
the grand canonical model.
| [
{
"created": "Mon, 14 Oct 2013 05:42:45 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Feb 2014 05:58:35 GMT",
"version": "v2"
}
] | 2014-02-04 | [
[
"Bourgine",
"Jean-Emile",
""
]
] | Mayer cluster expansion is an important tool in statistical physics to evaluate grand canonical partition functions. It has recently been applied to the Nekrasov instanton partition function of $\mathcal{N}=2$ 4d gauge theories. The associated canonical model involves coupled integrations that take the form of a generalized matrix model. It can be studied with the standard techniques of matrix models, in particular collective field theory and loop equations. In the first part of these notes, we explain how the results of collective field theory can be derived from the cluster expansion. The equalities between free energies at first orders is explained by the discrete Laplace transform relating canonical and grand canonical models. In a second part, we study the canonical loop equations and associate them to similar relations on the grand canonical side. It leads to relate the multi-point densities, fundamental objects of the matrix model, to the generating functions of multi-rooted clusters. Finally, a method is proposed to derive loop equations directly on the grand canonical model. |
hep-th/9712140 | John Gracey | P.M. Ferreira and J.A. Gracey | Non-zeta knots in the renormalization of the Wess-Zumino model? | 10 latex pages, 5 postscript figures | Phys.Lett. B424 (1998) 85-92 | 10.1016/S0370-2693(98)00169-5 | LTH-418 | hep-th | null | We solve the Schwinger Dyson equations of the O(N) symmetric Wess-Zumino
model at O(1/N^3) at the non-trivial fixed point of the d-dimensional
beta-function and deduce a critical exponent for the wave function
renormalization at this order. By developing the epsilon-expansion of the
result, which agrees with known perturbation theory, we examine the
distribution of transcendental coefficients and show that only the Riemann zeta
series arises at this order in 1/N. Unlike the analogous calculation at the
same order in the bosonic O(N) phi^4-theory non-zeta transcendentals,
associated with for example the (3,4)-torus knot, cancel.
| [
{
"created": "Mon, 15 Dec 1997 14:25:16 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Ferreira",
"P. M.",
""
],
[
"Gracey",
"J. A.",
""
]
] | We solve the Schwinger Dyson equations of the O(N) symmetric Wess-Zumino model at O(1/N^3) at the non-trivial fixed point of the d-dimensional beta-function and deduce a critical exponent for the wave function renormalization at this order. By developing the epsilon-expansion of the result, which agrees with known perturbation theory, we examine the distribution of transcendental coefficients and show that only the Riemann zeta series arises at this order in 1/N. Unlike the analogous calculation at the same order in the bosonic O(N) phi^4-theory non-zeta transcendentals, associated with for example the (3,4)-torus knot, cancel. |
hep-th/0109011 | Bernard Piette | I. Floratos and B.M.A.G. Piette | Spherically symmetric solutions of the 6th order SU(N) Skyrme models | 21 pages, 9 postscript figues | J.Math.Phys. 42 (2001) 5580-5595 | 10.1063/1.1415742 | null | hep-th | null | We use the generalised rational map ansatz introduced by Ioannidou et al. to
construct analytically some topologically non-trivial solutions of the
generalised SU(3) Skyrme model defined by adding a sixth order term to the
usual Lagrangian. These solutions are radially symmetric and some of them can
be interpreted as bound states of Skyrmions. The same ansatz is used to
construct low-energy configuration of the SU(N) Skyrme model.
| [
{
"created": "Mon, 3 Sep 2001 08:32:04 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Floratos",
"I.",
""
],
[
"Piette",
"B. M. A. G.",
""
]
] | We use the generalised rational map ansatz introduced by Ioannidou et al. to construct analytically some topologically non-trivial solutions of the generalised SU(3) Skyrme model defined by adding a sixth order term to the usual Lagrangian. These solutions are radially symmetric and some of them can be interpreted as bound states of Skyrmions. The same ansatz is used to construct low-energy configuration of the SU(N) Skyrme model. |
hep-th/0305157 | Jayme Felipe Martins Mendes | M. V. Cougo-Pinto, J. F. M. Mendes, C. Farina | The relation between effective action and vacuum energy in a
kappa-deformed theory | 10 pages | null | null | null | hep-th | null | In a quantum field with spacetime invariance governed by the Poincare algebra
the one-loop effective action is equal to the sum of zero modes frequencies,
which is the vacuum energy of the field. The first Casimir invariant of the
Poincare algebra provides the proper time Hamiltonian in Schwinger's proper
time representation of the effective action. We consider here a massive neutral
scalar field with spacetime invariance governed by the so called kappa-deformed
Poincare algebra. We show here that if in the kappa-deformed theory the first
Casimir invariant of the algebra is also used as the proper-time hamiltonian
the effective action appears with a real and an imaginary part. The real part
is equal to half the sum of kappa-deformed zero mode frequencies, which gives
the vacuum energy of the kappa-deformed field. In the limit in which the
deformation disappears this real part reduces to half of the sum of zero mode
frequencies of the usual scalar field. The imaginary part is proportional to
the sum of the squares of the kappa-deformed zero mode frequencies. This part
is a creation rate of field excitations in the situations in which it gives
rise to a finite physically meaningful quantity. This is the case when the
field is submitted to boundary conditions and properly renormalized, as we show
in a related paper.
| [
{
"created": "Mon, 19 May 2003 13:40:38 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Cougo-Pinto",
"M. V.",
""
],
[
"Mendes",
"J. F. M.",
""
],
[
"Farina",
"C.",
""
]
] | In a quantum field with spacetime invariance governed by the Poincare algebra the one-loop effective action is equal to the sum of zero modes frequencies, which is the vacuum energy of the field. The first Casimir invariant of the Poincare algebra provides the proper time Hamiltonian in Schwinger's proper time representation of the effective action. We consider here a massive neutral scalar field with spacetime invariance governed by the so called kappa-deformed Poincare algebra. We show here that if in the kappa-deformed theory the first Casimir invariant of the algebra is also used as the proper-time hamiltonian the effective action appears with a real and an imaginary part. The real part is equal to half the sum of kappa-deformed zero mode frequencies, which gives the vacuum energy of the kappa-deformed field. In the limit in which the deformation disappears this real part reduces to half of the sum of zero mode frequencies of the usual scalar field. The imaginary part is proportional to the sum of the squares of the kappa-deformed zero mode frequencies. This part is a creation rate of field excitations in the situations in which it gives rise to a finite physically meaningful quantity. This is the case when the field is submitted to boundary conditions and properly renormalized, as we show in a related paper. |
2402.10129 | Chi-Ming Chang | Chi-Ming Chang and Ying-Hsuan Lin | Holographic covering and the fortuity of black holes | 23 pages, 1 figure; v2: minor revision, Appendix A added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a classification of BPS states in holographic CFTs into monotone
and fortuitous, based on their behaviors in the large $N$ limit. Intuitively,
monotone BPS states form infinite sequences with increasing rank $N$, while
fortuitous ones exist within finite ranges of consecutive ranks. A precise
definition is formulated using supercharge cohomology. We conjecture that under
the AdS/CFT correspondence, monotone BPS states are dual to smooth horizonless
geometries, and fortuitous ones are responsible for typical black hole
microstates and give dominant contributions to the entropy. We present
supporting evidence for our conjectures in the ${\cal N}=4$ SYM and symmetric
product orbifolds.
| [
{
"created": "Thu, 15 Feb 2024 17:34:16 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Apr 2024 06:34:40 GMT",
"version": "v2"
}
] | 2024-04-18 | [
[
"Chang",
"Chi-Ming",
""
],
[
"Lin",
"Ying-Hsuan",
""
]
] | We propose a classification of BPS states in holographic CFTs into monotone and fortuitous, based on their behaviors in the large $N$ limit. Intuitively, monotone BPS states form infinite sequences with increasing rank $N$, while fortuitous ones exist within finite ranges of consecutive ranks. A precise definition is formulated using supercharge cohomology. We conjecture that under the AdS/CFT correspondence, monotone BPS states are dual to smooth horizonless geometries, and fortuitous ones are responsible for typical black hole microstates and give dominant contributions to the entropy. We present supporting evidence for our conjectures in the ${\cal N}=4$ SYM and symmetric product orbifolds. |
1802.04596 | Shin'ichi Nojiri | Shin'ichi Nojiri | Cosmological constant and renormalization of gravity | to appear in Galaxies Journal, MDPI editorial in the special issue
"Cosmology and the Quantum Vacuum" as the proceedings of "IV Cosmology and
the Quantum Vacuum", 4th-8th September 2017, Segovia, Spain | null | null | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In arXiv:1601.02203 and arXiv:1702.07063, we have proposed a topological
model with a simple Lagrangian density and have tried to solve one of the
cosmological constant problems. The Lagrangian density is the BRS exact and
therefore the model can be regarded as a topological theory. In this model, the
divergence of the vacuum energy coming from the quantum corrections from
matters can be absorbed into the redefinition of the scalar field. In this
paper, we consider the extension of the model in order to apply the mechanism
to other kinds of divergences coming from the quantum correction and consider
the cosmology in an extended model.
| [
{
"created": "Tue, 13 Feb 2018 12:54:15 GMT",
"version": "v1"
}
] | 2018-02-14 | [
[
"Nojiri",
"Shin'ichi",
""
]
] | In arXiv:1601.02203 and arXiv:1702.07063, we have proposed a topological model with a simple Lagrangian density and have tried to solve one of the cosmological constant problems. The Lagrangian density is the BRS exact and therefore the model can be regarded as a topological theory. In this model, the divergence of the vacuum energy coming from the quantum corrections from matters can be absorbed into the redefinition of the scalar field. In this paper, we consider the extension of the model in order to apply the mechanism to other kinds of divergences coming from the quantum correction and consider the cosmology in an extended model. |
2308.07907 | Ehsan Hatefi | Armin Hatefi, Ehsan Hatefi | Sequential Monte Carlo with Cross-validated Neural Networks for
Complexity of Hyperbolic Black Hole Solutions in 4D | V2, Clarifications in sections 3.1 are added. Accepted version in The
European Physical Journal C | Eur. Phys. J. C (2023) 83:1083 | 10.1140/epjc/s10052-023-12284-2 | null | hep-th gr-qc physics.comp-ph physics.data-an | http://creativecommons.org/licenses/by/4.0/ | This paper investigates the self-similar solutions of the
Einstein-axion-dilaton configuration from type IIB string theory and the global
SL(2,R) symmetry. We consider the Continuous Self Similarity (CSS), where the
scale transformation is controlled by an SL(2, R) boost or hyperbolic
translation. The solutions stay invariant under the combination of space-time
dilation with internal SL(2,R) transformations. We develop a new formalism
based on Sequential Monte Carlo (SMC) and artificial neural networks (NNs) to
estimate the self-similar solutions to the equations of motion in the
hyperbolic class in four dimensions. Due to the complex and highly nonlinear
patterns, researchers typically have to use various constraints and numerical
approximation methods to estimate the equations of motion; thus, they have to
overlook the measurement errors in parameter estimation. Through a Bayesian
framework, we incorporate measurement errors into our models to find the
solutions to the hyperbolic equations of motion. It is well known that the
hyperbolic class suffers from multiple solutions where the critical collapse
functions have overlap domains for these solutions. To deal with this
complexity, for the first time in literature on the axion-dilaton system, we
propose the SMC approach to obtain the multi-modal posterior distributions.
Through a probabilistic perspective, we confirm the deterministic $\alpha$ and
$\beta$ solutions available in the literature and determine all possible
solutions that may occur due to measurement errors. We finally proposed the
penalized Leave-One-Out Cross-validation (LOOCV) to combine the Bayesian
NN-based estimates optimally. The approach enables us to determine the optimum
weights while dealing with the co-linearity issue in the NN-based estimates and
better predict the critical functions corresponding to multiple solutions of
the equations of motion.
| [
{
"created": "Tue, 15 Aug 2023 17:48:35 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Nov 2023 16:17:35 GMT",
"version": "v2"
}
] | 2023-11-30 | [
[
"Hatefi",
"Armin",
""
],
[
"Hatefi",
"Ehsan",
""
]
] | This paper investigates the self-similar solutions of the Einstein-axion-dilaton configuration from type IIB string theory and the global SL(2,R) symmetry. We consider the Continuous Self Similarity (CSS), where the scale transformation is controlled by an SL(2, R) boost or hyperbolic translation. The solutions stay invariant under the combination of space-time dilation with internal SL(2,R) transformations. We develop a new formalism based on Sequential Monte Carlo (SMC) and artificial neural networks (NNs) to estimate the self-similar solutions to the equations of motion in the hyperbolic class in four dimensions. Due to the complex and highly nonlinear patterns, researchers typically have to use various constraints and numerical approximation methods to estimate the equations of motion; thus, they have to overlook the measurement errors in parameter estimation. Through a Bayesian framework, we incorporate measurement errors into our models to find the solutions to the hyperbolic equations of motion. It is well known that the hyperbolic class suffers from multiple solutions where the critical collapse functions have overlap domains for these solutions. To deal with this complexity, for the first time in literature on the axion-dilaton system, we propose the SMC approach to obtain the multi-modal posterior distributions. Through a probabilistic perspective, we confirm the deterministic $\alpha$ and $\beta$ solutions available in the literature and determine all possible solutions that may occur due to measurement errors. We finally proposed the penalized Leave-One-Out Cross-validation (LOOCV) to combine the Bayesian NN-based estimates optimally. The approach enables us to determine the optimum weights while dealing with the co-linearity issue in the NN-based estimates and better predict the critical functions corresponding to multiple solutions of the equations of motion. |
hep-th/9710026 | Yosuke Imamura | Yosuke Imamura | D-particle creation on an orientifold plane | 10 pages + 3 eps figures, LaTeX, errors corrected and reference added | Phys.Lett. B418 (1998) 55-60 | 10.1016/S0370-2693(97)01481-0 | KUNS-1468 | hep-th | null | We study the propagations of gravitational wave and D-particle on D6-brane
and orientifold 6-plane backgrounds in the M-theory framework. In the case of
orientifold plane, D-particle number is not conserved and gravitational wave
can convert into D-particle. For the simplest case, we calculate its amplitude
numerically.
| [
{
"created": "Thu, 2 Oct 1997 23:31:11 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Oct 1997 03:55:09 GMT",
"version": "v2"
},
{
"created": "Thu, 23 Oct 1997 08:41:40 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Imamura",
"Yosuke",
""
]
] | We study the propagations of gravitational wave and D-particle on D6-brane and orientifold 6-plane backgrounds in the M-theory framework. In the case of orientifold plane, D-particle number is not conserved and gravitational wave can convert into D-particle. For the simplest case, we calculate its amplitude numerically. |
hep-th/0111261 | Peter Mattsson | Peter Mattsson | Integrable Quantum Field Theories, in the Bulk and with a Boundary | Ph.D. thesis, Durham, LaTeX, 112 pages, 6 eps figures, uses
fancyheadings.sty | null | null | null | hep-th | null | This thesis considers massive field theories in 1+1 dimensions known as
affine Toda quantum field theories. We first consider the boundary sine-Gordon
model, deriving a complete picture of the boundary bound state structure for
general integrable boundary conditions, and then more general ATFTs in the
bulk, discovering a "generalised bootstrap" equation which explicitly encodes
the Lie algebra into the S-matrix. This last is related to a number of S-matrix
identities, as well as a generalisation of the idea that the conserved charges
of the theory form an eigenvector of the Cartan matrix.
| [
{
"created": "Wed, 28 Nov 2001 19:50:23 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Mattsson",
"Peter",
""
]
] | This thesis considers massive field theories in 1+1 dimensions known as affine Toda quantum field theories. We first consider the boundary sine-Gordon model, deriving a complete picture of the boundary bound state structure for general integrable boundary conditions, and then more general ATFTs in the bulk, discovering a "generalised bootstrap" equation which explicitly encodes the Lie algebra into the S-matrix. This last is related to a number of S-matrix identities, as well as a generalisation of the idea that the conserved charges of the theory form an eigenvector of the Cartan matrix. |
hep-th/9202084 | null | Tsutomu Horiguchi, Makoto Sakamoto and Masayoshi Tabuse | Cocycle Properties of String Theories on Orbifolds | 40 pages (Talk given at Workshop on ``Recent Developments in String
and Field theory", Kyoto, Japan on September 9-12, 1991.) | Prog.Theor.Phys.Suppl.110:229-260,1992 | 10.1143/PTPS.110.229 | null | hep-th | null | We study cocycle properties of vertex operators and present an operator
representation of cocycle operators, which are attached to vertex operators to
ensure the duality of amplitudes. It is shown that this analysis makes it
possible to obtain the general class of consistent string theories on
orbifolds.
| [
{
"created": "Tue, 25 Feb 1992 08:22:23 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Mar 1992 10:20:56 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Horiguchi",
"Tsutomu",
""
],
[
"Sakamoto",
"Makoto",
""
],
[
"Tabuse",
"Masayoshi",
""
]
] | We study cocycle properties of vertex operators and present an operator representation of cocycle operators, which are attached to vertex operators to ensure the duality of amplitudes. It is shown that this analysis makes it possible to obtain the general class of consistent string theories on orbifolds. |
hep-th/0011040 | Hugh Osborn | F.A. Dolan, H. Osborn | Conformal Four Point Functions and the Operator Product Expansion | 38 pages, plain TeX file using harvmac; revised version minor changes
and an extra reference, revised version2, further corrections | Nucl.Phys. B599 (2001) 459-496 | 10.1016/S0550-3213(01)00013-X | DAMTP/00-125 | hep-th | null | Various aspects of the four point function for scalar fields in conformally
invariant theories are analysed. This depends on an arbitrary function of two
conformal invariants u,v. A recurrence relation for the function corresponding
to the contribution of an arbitrary spin field in the operator product
expansion to the four point function is derived. This is solved explicitly in
two and four dimensions in terms of ordinary hypergeometric functions of
variables z,x which are simply related to u,v. The operator product expansion
analysis is applied to the explicit expressions for the four point function
found for free scalar, fermion and vector field theories in four dimensions.
The results for four point functions obtained by using the AdS/CFT
correspondence are also analysed in terms of functions related to those
appearing in the operator product discussion.
| [
{
"created": "Tue, 7 Nov 2000 12:47:48 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Dec 2000 15:18:32 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Apr 2001 16:52:45 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Dolan",
"F. A.",
""
],
[
"Osborn",
"H.",
""
]
] | Various aspects of the four point function for scalar fields in conformally invariant theories are analysed. This depends on an arbitrary function of two conformal invariants u,v. A recurrence relation for the function corresponding to the contribution of an arbitrary spin field in the operator product expansion to the four point function is derived. This is solved explicitly in two and four dimensions in terms of ordinary hypergeometric functions of variables z,x which are simply related to u,v. The operator product expansion analysis is applied to the explicit expressions for the four point function found for free scalar, fermion and vector field theories in four dimensions. The results for four point functions obtained by using the AdS/CFT correspondence are also analysed in terms of functions related to those appearing in the operator product discussion. |
0708.2285 | Florian Gmeiner | Florian Gmeiner and Gabriele Honecker | Mapping an Island in the Landscape | 46 pages, 10 figures; v2: typos corrected, new examples and expanded
study on chiral exotics | JHEP 0709:128,2007 | 10.1088/1126-6708/2007/09/128 | CERN-PH-TH/2007-139, NIKHEF/2007-017 | hep-th hep-ph | null | We provide a complete classification and statistical analysis of all type IIA
orientifold compactifications with intersecting D6-branes on the orbifold
T^6/Z'_6. The total number of four dimensional N=1 supersymmetric models is
found to be O(10^23). After a statistical analysis of the gauge sector
properties of all possible solutions, we study three subsets of configurations
which contain the chiral matter sector of the standard model, a Pati-Salam or
SU(5) GUT model, respectively. We find O(10^15) compactifications with an MSSM
and O(10^11) models with a Pati-Salam sector. Along the way we derive an
explicit algebraic formulation for the computation of the non-chiral matter
spectrum for all Z_N orbifolds.
| [
{
"created": "Fri, 17 Aug 2007 14:09:05 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Sep 2007 16:28:59 GMT",
"version": "v2"
}
] | 2009-11-18 | [
[
"Gmeiner",
"Florian",
""
],
[
"Honecker",
"Gabriele",
""
]
] | We provide a complete classification and statistical analysis of all type IIA orientifold compactifications with intersecting D6-branes on the orbifold T^6/Z'_6. The total number of four dimensional N=1 supersymmetric models is found to be O(10^23). After a statistical analysis of the gauge sector properties of all possible solutions, we study three subsets of configurations which contain the chiral matter sector of the standard model, a Pati-Salam or SU(5) GUT model, respectively. We find O(10^15) compactifications with an MSSM and O(10^11) models with a Pati-Salam sector. Along the way we derive an explicit algebraic formulation for the computation of the non-chiral matter spectrum for all Z_N orbifolds. |
2310.06768 | Lorenzo Russo | Luca Griguolo, Jacopo Papalini, Lorenzo Russo and Domenico Seminara | The resurgence of the plateau in supersymmetric ${\cal N}=1$
Jackiw-Teitelboim gravity | 35 pages, 7 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Significant progresses have been made recently in understanding the spectral
form factor of Jackiw-Teitelboim gravity, particularly at late times where
non-perturbative effects are expected to play a dominant role. By focusing on a
peculiar regime of large time and fixed temperature, called $\tau$-scaling
limit, it was found that it is possible to analytically investigate the
late-time plateau directly through the gravitational genus expansion. We extend
this analysis to the supersymmetric $\mathcal{N}=1$ generalization of the
bosonic theory, revealing an interesting structure. First, we notice that in
the $\tau$-scaling limit the perturbative sum over genera truncates after a
single term, which solely accounts for the ramp behaviour. Instead a
non-perturbative completion, responsible for the plateau, is encoded into an
exact formula coming from the properties of the chiral gaussian ensemble,
governing the spectral properties of the supersymmetric theory. We are able to
recover the non-perturbative contributions by slightly deforming the genus of
the involved surfaces and using resurgence theory. We derive a closed-form
analytical expression for the late-time plateau and a trans-series expansion
that captures the ramp-plateau transition.
| [
{
"created": "Tue, 10 Oct 2023 16:47:10 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Oct 2023 16:37:40 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Dec 2023 00:16:44 GMT",
"version": "v3"
}
] | 2023-12-21 | [
[
"Griguolo",
"Luca",
""
],
[
"Papalini",
"Jacopo",
""
],
[
"Russo",
"Lorenzo",
""
],
[
"Seminara",
"Domenico",
""
]
] | Significant progresses have been made recently in understanding the spectral form factor of Jackiw-Teitelboim gravity, particularly at late times where non-perturbative effects are expected to play a dominant role. By focusing on a peculiar regime of large time and fixed temperature, called $\tau$-scaling limit, it was found that it is possible to analytically investigate the late-time plateau directly through the gravitational genus expansion. We extend this analysis to the supersymmetric $\mathcal{N}=1$ generalization of the bosonic theory, revealing an interesting structure. First, we notice that in the $\tau$-scaling limit the perturbative sum over genera truncates after a single term, which solely accounts for the ramp behaviour. Instead a non-perturbative completion, responsible for the plateau, is encoded into an exact formula coming from the properties of the chiral gaussian ensemble, governing the spectral properties of the supersymmetric theory. We are able to recover the non-perturbative contributions by slightly deforming the genus of the involved surfaces and using resurgence theory. We derive a closed-form analytical expression for the late-time plateau and a trans-series expansion that captures the ramp-plateau transition. |
0712.0566 | Cosmin Crucean | Ion I.Cotaescu and Crucean Cosmin | Dirac-Coulomb scattering with plane wave energy eigenspinors on de
Sitter expanding universe | 9 pages, no figures | Int.J.Mod.Phys.A23:1351-1359,2008 | 10.1142/S0217751X08039487 | null | hep-th | null | The lowest order contribution of the amplitude of Dirac-Coulomb scattering in
de Sitter spacetime is calculated assuming that the initial and final states of
the Dirac field are described by exact solutions of the free Dirac equation on
de Sitter spacetime with a given energy and helicity. We find that the total
energy is conserved in the scattering process.
| [
{
"created": "Tue, 4 Dec 2007 16:42:38 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Cotaescu",
"Ion I.",
""
],
[
"Cosmin",
"Crucean",
""
]
] | The lowest order contribution of the amplitude of Dirac-Coulomb scattering in de Sitter spacetime is calculated assuming that the initial and final states of the Dirac field are described by exact solutions of the free Dirac equation on de Sitter spacetime with a given energy and helicity. We find that the total energy is conserved in the scattering process. |
1911.10803 | Hadi Ranjbari | Hadi Ranjbari, Mehdi Sadeghi, M.Ghanaatian and Gh.Forozani | Critical behavior of AdS Gauss-Bonnet massive black holes in the
presence of external string cloud | 24 pages, 60 figures | Eur.Phys.J. C80 (2020) no.1, 17 | 10.1140/epjc/s10052-019-7592-8 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Following previous study about AdS-Schwarzschild black holes minimally
coupled to a cloud of strings in the context of massive gravity
{Ghanaatian:2019} and inspired by strong connection between Gauss-Bonnet
Gravity and heterotic string theory, in this paper, we first take into account
the Gauss-Bonnet term and we study thermodynamics and critical behavior of
these black holes in the extended phase space. The effects of Gauss-Bonnet,
massive, and string cloud parameters on the criticality of these black holes
has been investigated. It can be seen that the Gauss-Bonnet and massive
parameters have opposite effects on the criticality and phase transition of the
solutions. We also observe that the increase in the value of the string cloud
parameter above a critical value, eliminates the van der Waals like behavior of
these solutions. Also, the Joule-Thomson effect is not observed. Then we
examine thermal stability of these black holes in canonical ensemble by
calculating the heat capacity. In addition, we explore critical behavior in
extended phase space by employing heat capacity and consequently, we observe
that the results are in agreement with the previous results from the usual
method in section 3.
| [
{
"created": "Mon, 25 Nov 2019 10:16:17 GMT",
"version": "v1"
}
] | 2020-01-22 | [
[
"Ranjbari",
"Hadi",
""
],
[
"Sadeghi",
"Mehdi",
""
],
[
"Ghanaatian",
"M.",
""
],
[
"Forozani",
"Gh.",
""
]
] | Following previous study about AdS-Schwarzschild black holes minimally coupled to a cloud of strings in the context of massive gravity {Ghanaatian:2019} and inspired by strong connection between Gauss-Bonnet Gravity and heterotic string theory, in this paper, we first take into account the Gauss-Bonnet term and we study thermodynamics and critical behavior of these black holes in the extended phase space. The effects of Gauss-Bonnet, massive, and string cloud parameters on the criticality of these black holes has been investigated. It can be seen that the Gauss-Bonnet and massive parameters have opposite effects on the criticality and phase transition of the solutions. We also observe that the increase in the value of the string cloud parameter above a critical value, eliminates the van der Waals like behavior of these solutions. Also, the Joule-Thomson effect is not observed. Then we examine thermal stability of these black holes in canonical ensemble by calculating the heat capacity. In addition, we explore critical behavior in extended phase space by employing heat capacity and consequently, we observe that the results are in agreement with the previous results from the usual method in section 3. |
2208.13536 | Gianluca Calcagni | Jiangfan Liu, Leonardo Modesto, Gianluca Calcagni | Quantum field theory with ghost pairs | 44 pages, 3 figures; v2: title changed, section 5 on gauge theories
and gravity considerably expanded with diagrammatic proof of unitarity | JHEP 02 (2023) 140 | 10.1007/JHEP02(2023)140 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explicitly show that general local higher-derivative theories with only
complex conjugate ghosts and normal real particles are unitary at any
perturbative order in the loop expansion. The proof presented here relies on
integrating the loop energies on complex paths resulting from the deformation
of the purely imaginary paths, when the external energies are continued from
imaginary to real values. Contrary to the case of nonlocal theories, where the
same integration path was first proposed, for the classes of theories studied
here the same procedure is not analytic, but the resulting theory is unitary
and unique when the complex ghosts are present in pairs. As an explicit
application, a special class of higher-derivative super-renormalizable or
finite gravitational and gauge theories turns out to be unitary at any
perturbative order if we exclude the complex ghosts from the spectrum of the
theory, as it is normally accepted for Becchi-Rouet-Stora-Tyutin (BRST) ghosts.
Finally, we propose an analogy between confined gluons in quantum Yang-Mills
theory and classical complex pairs in local higher-derivative theories.
According to such interpretation, complex ghosts will not appear on shell as
asymptotic states because confined in what is natural to name "ghostballs."
| [
{
"created": "Mon, 29 Aug 2022 12:18:52 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Feb 2023 17:22:43 GMT",
"version": "v2"
}
] | 2023-02-20 | [
[
"Liu",
"Jiangfan",
""
],
[
"Modesto",
"Leonardo",
""
],
[
"Calcagni",
"Gianluca",
""
]
] | We explicitly show that general local higher-derivative theories with only complex conjugate ghosts and normal real particles are unitary at any perturbative order in the loop expansion. The proof presented here relies on integrating the loop energies on complex paths resulting from the deformation of the purely imaginary paths, when the external energies are continued from imaginary to real values. Contrary to the case of nonlocal theories, where the same integration path was first proposed, for the classes of theories studied here the same procedure is not analytic, but the resulting theory is unitary and unique when the complex ghosts are present in pairs. As an explicit application, a special class of higher-derivative super-renormalizable or finite gravitational and gauge theories turns out to be unitary at any perturbative order if we exclude the complex ghosts from the spectrum of the theory, as it is normally accepted for Becchi-Rouet-Stora-Tyutin (BRST) ghosts. Finally, we propose an analogy between confined gluons in quantum Yang-Mills theory and classical complex pairs in local higher-derivative theories. According to such interpretation, complex ghosts will not appear on shell as asymptotic states because confined in what is natural to name "ghostballs." |
1303.1523 | Yi Wang | Yi Wang | Inflation, Cosmic Perturbations and Non-Gaussianities | 84 pages, 36 figures. Based on lectures given at the 7th Asian Winter
School on Strings, Particles and Cosmology. v2: observational aspects
updated, references added, typos corrected. v3: references added, typos
corrected, version to appear on Commun. Theor. Phys. Comments are welcome | null | 10.1088/0253-6102/62/1/19 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the theory of inflationary perturbations. Perturbations at both
linear and nonlinear orders are reviewed. We also review a variety of inflation
models, emphasizing their signatures on cosmic perturbations.
| [
{
"created": "Wed, 6 Mar 2013 21:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Mar 2013 04:42:22 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Jun 2013 06:59:11 GMT",
"version": "v3"
}
] | 2015-06-15 | [
[
"Wang",
"Yi",
""
]
] | We review the theory of inflationary perturbations. Perturbations at both linear and nonlinear orders are reviewed. We also review a variety of inflation models, emphasizing their signatures on cosmic perturbations. |
1410.2097 | Anatoly Shabad | D.Gitman and A.Shabad | Note on "Finite Field-Energy and Interparticle Potential in Logarithmic
Electrodynamics" | 2 pages, a comment on a published work, to be submitted to Eur. Phys.
J. C | Eur. Phys. J. C (2014) 74:3186 | 10.1140/epjc/s10052-014-3186-7 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose an identification of the free parameter in the model of nonlinear
electrodynamics proposed in P. Gaete and J. Helayel-Neto, Eur. Phys. J. C 74,
2816 (2014) by equating the second term in the power expansion of its
Lagrangian with that in the expansion of the Heiseberg-Euler Lagrangian. The
resulting value of the field-energy of a point-like charge makes 0.988 of the
electron mass, if the charge is that of the electron.
| [
{
"created": "Wed, 8 Oct 2014 13:20:02 GMT",
"version": "v1"
}
] | 2016-11-30 | [
[
"Gitman",
"D.",
""
],
[
"Shabad",
"A.",
""
]
] | We propose an identification of the free parameter in the model of nonlinear electrodynamics proposed in P. Gaete and J. Helayel-Neto, Eur. Phys. J. C 74, 2816 (2014) by equating the second term in the power expansion of its Lagrangian with that in the expansion of the Heiseberg-Euler Lagrangian. The resulting value of the field-energy of a point-like charge makes 0.988 of the electron mass, if the charge is that of the electron. |
2104.02075 | Josh Cork | Josh Cork, Emine \c{S}eyma Kutluk, Olaf Lechtenfeld, Alexander D.
Popov | A low-energy limit of Yang-Mills theory on de Sitter space | 1+23 pages. v2: introduction extended, theory modifications
clarified, references updated | J. High Energ. Phys. 2021, 89 (2021) | 10.1007/JHEP09(2021)089 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider Yang--Mills theory with a compact structure group $G$ on
four-dimensional de Sitter space dS$_4$. Using conformal invariance, we
transform the theory from dS$_4$ to the finite cylinder ${\cal I}\times S^3$,
where ${\cal I}=(-\pi/2, \pi/2)$ and $S^3$ is the round three-sphere. By
considering only bundles $P\to{\cal I}\times S^3$ which are framed over the
temporal boundary $\partial{\cal I}\times S^3$, we introduce additional degrees
of freedom which restrict gauge transformations to be identity on
$\partial{\cal I}\times S^3$. We study the consequences of the framing on the
variation of the action, and on the Yang--Mills equations. This allows for an
infinite-dimensional moduli space of Yang--Mills vacua on dS$_4$. We show that,
in the low-energy limit, when momentum along ${\cal I}$ is much smaller than
along $S^3$, the Yang--Mills dynamics in dS$_4$ is approximated by geodesic
motion in the infinite-dimensional space ${\cal M}_{\rm vac}$ of
gauge-inequivalent Yang--Mills vacua on $S^3$. Since ${\cal M}_{\rm vac}\cong
C^\infty (S^3, G)/G$ is a group manifold, the dynamics is expected to be
integrable.
| [
{
"created": "Mon, 5 Apr 2021 18:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Sep 2021 11:29:48 GMT",
"version": "v2"
}
] | 2021-09-20 | [
[
"Cork",
"Josh",
""
],
[
"Kutluk",
"Emine Şeyma",
""
],
[
"Lechtenfeld",
"Olaf",
""
],
[
"Popov",
"Alexander D.",
""
]
] | We consider Yang--Mills theory with a compact structure group $G$ on four-dimensional de Sitter space dS$_4$. Using conformal invariance, we transform the theory from dS$_4$ to the finite cylinder ${\cal I}\times S^3$, where ${\cal I}=(-\pi/2, \pi/2)$ and $S^3$ is the round three-sphere. By considering only bundles $P\to{\cal I}\times S^3$ which are framed over the temporal boundary $\partial{\cal I}\times S^3$, we introduce additional degrees of freedom which restrict gauge transformations to be identity on $\partial{\cal I}\times S^3$. We study the consequences of the framing on the variation of the action, and on the Yang--Mills equations. This allows for an infinite-dimensional moduli space of Yang--Mills vacua on dS$_4$. We show that, in the low-energy limit, when momentum along ${\cal I}$ is much smaller than along $S^3$, the Yang--Mills dynamics in dS$_4$ is approximated by geodesic motion in the infinite-dimensional space ${\cal M}_{\rm vac}$ of gauge-inequivalent Yang--Mills vacua on $S^3$. Since ${\cal M}_{\rm vac}\cong C^\infty (S^3, G)/G$ is a group manifold, the dynamics is expected to be integrable. |
1507.00630 | Yu-Xiao Liu | Yuan Zhong, Yu-Xiao Liu | Pure geometric thick $f(R)$-branes: stability and localization of
gravity | 7 pages, 2 figures, improved version, accepted by Eur. Phys. J. C | Eur. Phys. J. C76 (2016) 321 | 10.1140/epjc/s10052-016-4163-0 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study two exactly solvable five-dimensional thick brane world models in
pure metric $f(R)$ gravity. Working in the Einstein frame, we show that these
solutions are stable against small linear perturbations, including the tensor,
vector, and scalar modes. For both models, the corresponding gravitational zero
mode is localized on the brane, which leads to the four-dimensional Newton's
law; while the massive modes are nonlocalized and only contribute a small
correction to the Newton's law at a large distance.
| [
{
"created": "Thu, 2 Jul 2015 15:37:01 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jun 2016 09:27:32 GMT",
"version": "v2"
}
] | 2016-06-20 | [
[
"Zhong",
"Yuan",
""
],
[
"Liu",
"Yu-Xiao",
""
]
] | We study two exactly solvable five-dimensional thick brane world models in pure metric $f(R)$ gravity. Working in the Einstein frame, we show that these solutions are stable against small linear perturbations, including the tensor, vector, and scalar modes. For both models, the corresponding gravitational zero mode is localized on the brane, which leads to the four-dimensional Newton's law; while the massive modes are nonlocalized and only contribute a small correction to the Newton's law at a large distance. |
hep-th/0206210 | changrim Ahn | Changrim Ahn, Chanju Kim, Chaiho Rim, Al. B. Zamolodchikov | RG Flows from Super-Liouville Theory to Critical Ising Model | 10 pages, 1 figures, to be published in Phys. Lett. B | Phys.Lett. B541 (2002) 194-200 | 10.1016/S0370-2693(02)02217-7 | null | hep-th | null | We study an integrable deformation of the super-Liouville theory which
generates a RG flows to the critical Ising model as the IR fixed point. This
model turns out to be a supersymmetric sinh-Gordon model with spontaneously
broken N=1 supersymmetry. The resulting massless Goldstino is the only stable
on-shell particle which controls the IR behaviours. We propose the exact
$S$-matrix of the Goldstino and compare associated thermodynamic Bethe ansatz
equations with the quantization conditions derived from the reflection
amplitudes of the the super-Liouville theory to provide nonperturbative checks
for both the (NS) and the (R) sectors.
| [
{
"created": "Mon, 24 Jun 2002 06:14:13 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Ahn",
"Changrim",
""
],
[
"Kim",
"Chanju",
""
],
[
"Rim",
"Chaiho",
""
],
[
"Zamolodchikov",
"Al. B.",
""
]
] | We study an integrable deformation of the super-Liouville theory which generates a RG flows to the critical Ising model as the IR fixed point. This model turns out to be a supersymmetric sinh-Gordon model with spontaneously broken N=1 supersymmetry. The resulting massless Goldstino is the only stable on-shell particle which controls the IR behaviours. We propose the exact $S$-matrix of the Goldstino and compare associated thermodynamic Bethe ansatz equations with the quantization conditions derived from the reflection amplitudes of the the super-Liouville theory to provide nonperturbative checks for both the (NS) and the (R) sectors. |
1508.05006 | Christian von Schultz | Ulf Gran, George Papadopoulos, Christian von Schultz | Supersymmetric geometries of IIA supergravity II | 19 pages | null | 10.1007/JHEP12(2015)113 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We solve the Killing spinor equations of standard and massive IIA
supergravities for a Killing spinor whose isotropy subgroup in Spin(9, 1) is
SU(4) and identify the geometry of the spacetime. We demonstrate that the
Killing spinor equations impose some mild constraints on the geometry of the
spacetime which include the existence of a time-like Killing vector field which
leaves the fields and the Killing spinor invariant.
| [
{
"created": "Thu, 20 Aug 2015 15:29:14 GMT",
"version": "v1"
}
] | 2016-01-27 | [
[
"Gran",
"Ulf",
""
],
[
"Papadopoulos",
"George",
""
],
[
"von Schultz",
"Christian",
""
]
] | We solve the Killing spinor equations of standard and massive IIA supergravities for a Killing spinor whose isotropy subgroup in Spin(9, 1) is SU(4) and identify the geometry of the spacetime. We demonstrate that the Killing spinor equations impose some mild constraints on the geometry of the spacetime which include the existence of a time-like Killing vector field which leaves the fields and the Killing spinor invariant. |
1708.00176 | Stefano Viaggiu | Stefano Viaggiu | A possible new cosmological redshift effect due to $\Lambda$ on
traveling gravitational waves in Friedmann universes | Final version published on Int. J. Mod. Phys. D | Int. J. Mod. Phys. D, Vol. 26 (2017) 1750168 | 10.1142/S0218271817501681 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we continue the investigation concerning the propagation of
gravitational waves in a cosmological background using Laplace transform
\cite{A}. We analyze the possible physical consequences of the result present
in \cite{A} where it is argued that a non-vanishing positive abscissa of
convergence caused by the de Sitter expansion factor $a(t)=e^{Ht}$ implies a
shift in the frequencies domain of a traveling gravitational waves as measured
by a comoving observer. In particular, we show that in a generic asymptotically
de Sitter cosmological universe this redshift effect does also arise.
Conversely, in a universe expanding with, for example, a power law expansion,
this phenomenon does not happen. This physically possible new redshift effect,
although negligible for the actual very low value of $\Lambda$, can have
interesting physical consequences concerning for example its relation with
Bose-Einstein condensation or more speculatively with the nature of the
cosmological constant in terms of gravitons, as recently suggested in \cite{B}
near a Bose-Einstein condensation phase.
| [
{
"created": "Tue, 1 Aug 2017 06:15:46 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Oct 2017 06:26:10 GMT",
"version": "v2"
}
] | 2017-10-06 | [
[
"Viaggiu",
"Stefano",
""
]
] | In this paper we continue the investigation concerning the propagation of gravitational waves in a cosmological background using Laplace transform \cite{A}. We analyze the possible physical consequences of the result present in \cite{A} where it is argued that a non-vanishing positive abscissa of convergence caused by the de Sitter expansion factor $a(t)=e^{Ht}$ implies a shift in the frequencies domain of a traveling gravitational waves as measured by a comoving observer. In particular, we show that in a generic asymptotically de Sitter cosmological universe this redshift effect does also arise. Conversely, in a universe expanding with, for example, a power law expansion, this phenomenon does not happen. This physically possible new redshift effect, although negligible for the actual very low value of $\Lambda$, can have interesting physical consequences concerning for example its relation with Bose-Einstein condensation or more speculatively with the nature of the cosmological constant in terms of gravitons, as recently suggested in \cite{B} near a Bose-Einstein condensation phase. |
hep-th/9803025 | Alessandra Buonanno | Alessandra Buonanno, Thibault Damour | Effective action and tension renormalization for cosmic and fundamental
strings | 13 pages, RevTex, one paragraph added at the end | Phys.Lett. B432 (1998) 51-57 | 10.1016/S0370-2693(98)00609-1 | IHES/P/98/19 | hep-th gr-qc | null | We derive the effective action for classical strings coupled to dilatonic,
gravitational, and axionic fields. We show how to use this effective action
for: (i) renormalizing the string tension, (ii) linking ultraviolet divergences
to the infrared (long-range) interaction between strings, (iii) bringing
additional light on the special cancellations that occur for fundamental
strings, and (iv) pointing out the limitations of Dirac's celebrated
field-energy approach to renormalization.
| [
{
"created": "Tue, 3 Mar 1998 18:43:57 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jul 1998 17:50:06 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Buonanno",
"Alessandra",
""
],
[
"Damour",
"Thibault",
""
]
] | We derive the effective action for classical strings coupled to dilatonic, gravitational, and axionic fields. We show how to use this effective action for: (i) renormalizing the string tension, (ii) linking ultraviolet divergences to the infrared (long-range) interaction between strings, (iii) bringing additional light on the special cancellations that occur for fundamental strings, and (iv) pointing out the limitations of Dirac's celebrated field-energy approach to renormalization. |
hep-th/0306254 | Alexander Kling | Alexander Kling and Sebastian Uhlmann | String Field Theory Vertices for Fermions of Integral Weight | 1+28 pages, minor improvements, references added | JHEP 0307 (2003) 061 | 10.1088/1126-6708/2003/07/061 | null | hep-th | null | We construct Witten-type string field theory vertices for a fermionic first
order system with conformal weights (0,1) in the operator formulation using
delta-function overlap conditions as well as the Neumann function method. The
identity, the reflector and the interaction vertex are treated in detail paying
attention to the zero mode conditions and the U(1) charge anomaly. The Neumann
coefficients for the interaction vertex are shown to be intimately connected
with the coefficients for bosons allowing a simple proof that the
reparametrization anomaly of the fermionic first order system cancels the
contribution of two real bosons. This agrees with their contribution c=-2 to
the central charge. The overlap equations for the interaction vertex are shown
to hold. Our results have applications in N=2 string field theory, Berkovits'
hybrid formalism for superstring field theory, the \eta\xi-system and the
twisted bc-system used in bosonic vacuum string field theory.
| [
{
"created": "Wed, 25 Jun 2003 20:09:47 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Feb 2004 16:29:11 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Kling",
"Alexander",
""
],
[
"Uhlmann",
"Sebastian",
""
]
] | We construct Witten-type string field theory vertices for a fermionic first order system with conformal weights (0,1) in the operator formulation using delta-function overlap conditions as well as the Neumann function method. The identity, the reflector and the interaction vertex are treated in detail paying attention to the zero mode conditions and the U(1) charge anomaly. The Neumann coefficients for the interaction vertex are shown to be intimately connected with the coefficients for bosons allowing a simple proof that the reparametrization anomaly of the fermionic first order system cancels the contribution of two real bosons. This agrees with their contribution c=-2 to the central charge. The overlap equations for the interaction vertex are shown to hold. Our results have applications in N=2 string field theory, Berkovits' hybrid formalism for superstring field theory, the \eta\xi-system and the twisted bc-system used in bosonic vacuum string field theory. |
1107.3923 | Pietro Antonio Grassi | P. A. Grassi and L. Sommovigo | On Supergravity Amplitudes from Pure Spinor Strings | 21 pages, Harvmac, youngtab.tex for Young Tableaux | null | null | DISTA-2011 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use Pure Spinor String Theory to construct suitable building blocks to
arrange the structure of supergravity amplitudes with n-points and at higher
loops in a very convenient way. Following Mafra et al. proposal for N=4 super
Yang-Mills amplitudes, we discuss its generalization to supergravity
amplitudes. In particular, we first derive the building blocks for closed
string amplitudes from closed vertices showing that, because of the
factorization, several results of open string theory can be used; nevertheless,
also new structures emerge. We provide a first list of these new ingredients
and their BRST variations. Second, we analyze 4-point amplitudes showing how
the different building blocks enter and finally we discuss the factorization of
5-point amplitudes in supergravity in terms of those structures.
| [
{
"created": "Wed, 20 Jul 2011 09:09:20 GMT",
"version": "v1"
}
] | 2011-07-21 | [
[
"Grassi",
"P. A.",
""
],
[
"Sommovigo",
"L.",
""
]
] | We use Pure Spinor String Theory to construct suitable building blocks to arrange the structure of supergravity amplitudes with n-points and at higher loops in a very convenient way. Following Mafra et al. proposal for N=4 super Yang-Mills amplitudes, we discuss its generalization to supergravity amplitudes. In particular, we first derive the building blocks for closed string amplitudes from closed vertices showing that, because of the factorization, several results of open string theory can be used; nevertheless, also new structures emerge. We provide a first list of these new ingredients and their BRST variations. Second, we analyze 4-point amplitudes showing how the different building blocks enter and finally we discuss the factorization of 5-point amplitudes in supergravity in terms of those structures. |
hep-th/9205040 | Patrick Dorey | Patrick Dorey | Partition Functions, Intertwiners and the Coxeter Element | 18 pages | Int.J.Mod.Phys. A8 (1993) 193-208 | 10.1142/S0217751X93000084 | Saclay preprint SPhT/92-053 | hep-th | null | The partition functions of Pasquier models on the cylinder, and the
associated intertwiners, are considered. It is shown that earlier results due
to Saleur and Bauer can be rephrased in a geometrical way, reminiscent of
formulae found in certain purely elastic scattering theories. This establishes
the positivity of these intertwiners in a general way and elucidates
connections between these objects and the finite subgroups of SU(2). It also
offers the hope that analogous geometrical structures might lie behind the
so-far mysterious results found by Di Francesco and Zuber in their search for
generalisations of these models.
| [
{
"created": "Thu, 14 May 1992 16:01:45 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Dorey",
"Patrick",
""
]
] | The partition functions of Pasquier models on the cylinder, and the associated intertwiners, are considered. It is shown that earlier results due to Saleur and Bauer can be rephrased in a geometrical way, reminiscent of formulae found in certain purely elastic scattering theories. This establishes the positivity of these intertwiners in a general way and elucidates connections between these objects and the finite subgroups of SU(2). It also offers the hope that analogous geometrical structures might lie behind the so-far mysterious results found by Di Francesco and Zuber in their search for generalisations of these models. |
1308.1920 | Daniel Are\'an | Daniel Arean, Arya Farahi, Leopoldo A. Pando Zayas, Ignacio Salazar
Landea, Antonello Scardicchio | A Dirty Holographic Superconductor | 5 pages, 8 figures. v3: discussion improved, references added, typos
corrected, results unchanged | Phys. Rev. D 89, 106003 (2014) | 10.1103/PhysRevD.89.106003 | MCTP-13-22 | hep-th cond-mat.dis-nn cond-mat.supr-con gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the effects of disorder on a holographic superconductor by
introducing a random chemical potential on the boundary. We consider various
realizations of disorder and find that the critical temperature for
superconductivity is enhanced. We also present evidence for a precise form of
renormalization in this system. Namely, when the random chemical potential is
characterized by a Fourier spectrum of the form $k^{-2\alpha}$ we find that the
spectra of the condensate and the charge density are again power-laws, whose
exponents are accurately and universally governed by linear functions of
$\alpha$.
| [
{
"created": "Thu, 8 Aug 2013 18:17:41 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Oct 2013 18:53:11 GMT",
"version": "v2"
},
{
"created": "Fri, 20 Jun 2014 14:52:27 GMT",
"version": "v3"
}
] | 2014-06-23 | [
[
"Arean",
"Daniel",
""
],
[
"Farahi",
"Arya",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
],
[
"Landea",
"Ignacio Salazar",
""
],
[
"Scardicchio",
"Antonello",
""
]
] | We study the effects of disorder on a holographic superconductor by introducing a random chemical potential on the boundary. We consider various realizations of disorder and find that the critical temperature for superconductivity is enhanced. We also present evidence for a precise form of renormalization in this system. Namely, when the random chemical potential is characterized by a Fourier spectrum of the form $k^{-2\alpha}$ we find that the spectra of the condensate and the charge density are again power-laws, whose exponents are accurately and universally governed by linear functions of $\alpha$. |
1011.0456 | Wieland Staessens | Wieland Staessens and Bert Vercnocke | Lectures on Scattering Amplitudes in String Theory | 78 pages, 16 figures, Lecture notes based on lectures given at the
fifth Modave School on Mathematical Physics (August 2009) | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In these lecture notes, we take a closer look at the calculation of
scattering amplitudes for the bosonic string. It is believed that string
theories form the UV completions of (super)gravity theories. Support for this
claim can be found in the (on-shell) scattering amplitudes of strings. On the
other hand, studying these string scattering amplitudes opens a window on the
UV behavior of the string theories themselves. In these short set of lectures,
we discuss the two-dimensional Polyakov path integral for the string, and its
gauge symmetries, the connection to Riemann surfaces and how to obtain some of
the simplest string scattering amplitudes. We end with some comments on more
advanced topics. For simplicity we limit ourselves to bosonic open string
theory in 26 dimensions.
| [
{
"created": "Mon, 1 Nov 2010 22:01:44 GMT",
"version": "v1"
}
] | 2010-11-03 | [
[
"Staessens",
"Wieland",
""
],
[
"Vercnocke",
"Bert",
""
]
] | In these lecture notes, we take a closer look at the calculation of scattering amplitudes for the bosonic string. It is believed that string theories form the UV completions of (super)gravity theories. Support for this claim can be found in the (on-shell) scattering amplitudes of strings. On the other hand, studying these string scattering amplitudes opens a window on the UV behavior of the string theories themselves. In these short set of lectures, we discuss the two-dimensional Polyakov path integral for the string, and its gauge symmetries, the connection to Riemann surfaces and how to obtain some of the simplest string scattering amplitudes. We end with some comments on more advanced topics. For simplicity we limit ourselves to bosonic open string theory in 26 dimensions. |
1509.04749 | Akikazu Hashimoto | William Cottrell, James Hanson, and Akikazu Hashimoto | Dynamics of ${\cal N}=4$ supersymmetric field theories in 2+1 dimensions
and their gravity dual | 31 pages, 12 figures | null | 10.1007/JHEP07(2016)012 | MAD-TH-15-06 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we consider ${\cal N}=4$ SYM theories in 2+1 dimensions with
gauge group $U(N)\times U(M)$ and $k$ hypermultiplets charged under the $U(N)$.
When $k > 2(N-M)$, the theory flows to a superconformal fixed point in the IR.
Theories with $k <2(N-M)$, on the other hand, flows to strong coupling. We
explore these theories from the perspective of gravity dual. We find that the
gravity duals of theories with $k < (N-M)$ contain enhancons even in situations
where repulson singularities are absent. We argue that supergravity description
is unreliable in the region near these enhancon points. Instead, we show how to
construct reliable sugra duals to particular points on the Coulomb branch where
the enhancon is screened. We explore how these singularities reappear as one
moves around in Coulomb branch and comment on possible field theory
interpretation of this phenomenon. In analyzing gauge/gravity duality for these
models, we encountered one unexpected surprise, that the condition for the
supergravity solution to be reliable and supersymmetric is somewhat weaker than
the expectation from field theory. We also discuss similar issues for theories
with $k=0$.
| [
{
"created": "Tue, 15 Sep 2015 21:41:07 GMT",
"version": "v1"
}
] | 2016-07-20 | [
[
"Cottrell",
"William",
""
],
[
"Hanson",
"James",
""
],
[
"Hashimoto",
"Akikazu",
""
]
] | In this note we consider ${\cal N}=4$ SYM theories in 2+1 dimensions with gauge group $U(N)\times U(M)$ and $k$ hypermultiplets charged under the $U(N)$. When $k > 2(N-M)$, the theory flows to a superconformal fixed point in the IR. Theories with $k <2(N-M)$, on the other hand, flows to strong coupling. We explore these theories from the perspective of gravity dual. We find that the gravity duals of theories with $k < (N-M)$ contain enhancons even in situations where repulson singularities are absent. We argue that supergravity description is unreliable in the region near these enhancon points. Instead, we show how to construct reliable sugra duals to particular points on the Coulomb branch where the enhancon is screened. We explore how these singularities reappear as one moves around in Coulomb branch and comment on possible field theory interpretation of this phenomenon. In analyzing gauge/gravity duality for these models, we encountered one unexpected surprise, that the condition for the supergravity solution to be reliable and supersymmetric is somewhat weaker than the expectation from field theory. We also discuss similar issues for theories with $k=0$. |
1009.3268 | Andreas Karch | Shamit Kachru, Andreas Karch, Sho Yaida | Adventures in Holographic Dimer Models | 22 pages, 8 figures; v2: brief description of case of pure D5 lattice
added in sec.3; v3: minor typo fixed; v4: minor changes | New J.Phys.13:035004,2011 | 10.1088/1367-2630/13/3/035004 | SU-ITP-10/26, SLAC-PUB-14252 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We abstract the essential features of holographic dimer models, and develop
several new applications of these models. First, semi-holographically coupling
free band fermions to holographic dimers, we uncover novel phase transitions
between conventional Fermi liquids and non-Fermi liquids, accompanied by a
change in the structure of the Fermi surface. Second, we make dimer vibrations
propagate through the whole crystal by way of double trace deformations,
obtaining nontrivial band structure. In a simple toy model, the topology of the
band structure experiences an interesting reorganization as we vary the
strength of the double trace deformations. Finally, we develop tools that would
allow one to build, in a bottom-up fashion, a holographic avatar of the Hubbard
model.
| [
{
"created": "Thu, 16 Sep 2010 20:00:04 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Sep 2010 17:44:11 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Oct 2010 19:11:13 GMT",
"version": "v3"
},
{
"created": "Mon, 10 Jan 2011 19:22:16 GMT",
"version": "v4"
}
] | 2011-03-21 | [
[
"Kachru",
"Shamit",
""
],
[
"Karch",
"Andreas",
""
],
[
"Yaida",
"Sho",
""
]
] | We abstract the essential features of holographic dimer models, and develop several new applications of these models. First, semi-holographically coupling free band fermions to holographic dimers, we uncover novel phase transitions between conventional Fermi liquids and non-Fermi liquids, accompanied by a change in the structure of the Fermi surface. Second, we make dimer vibrations propagate through the whole crystal by way of double trace deformations, obtaining nontrivial band structure. In a simple toy model, the topology of the band structure experiences an interesting reorganization as we vary the strength of the double trace deformations. Finally, we develop tools that would allow one to build, in a bottom-up fashion, a holographic avatar of the Hubbard model. |
1302.7275 | Mohammad R. Garousi | Mohammad R. Garousi | Ramond-Ramond corrections to type II supergravity at order $\alpha'^3$ | 25 pages, Latex file, no figure; v4: typos corrected | null | 10.1007/JHEP06(2013)030 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, it has been shown that the NS-NS corrections to the type II
supergravity given by Gross and Sloan are invariant under the linear T-duality.
In this paper, we study the invariance of this action under sequence of
S-duality and linear T-duality to find the R-R corrections to the supergravity
at order $\alpha'^3$, up to field redefinition.
| [
{
"created": "Thu, 28 Feb 2013 18:23:59 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Mar 2013 04:20:19 GMT",
"version": "v2"
},
{
"created": "Sun, 5 May 2013 12:39:17 GMT",
"version": "v3"
},
{
"created": "Tue, 25 Jun 2013 04:10:32 GMT",
"version": "v4"
}
] | 2015-06-15 | [
[
"Garousi",
"Mohammad R.",
""
]
] | Recently, it has been shown that the NS-NS corrections to the type II supergravity given by Gross and Sloan are invariant under the linear T-duality. In this paper, we study the invariance of this action under sequence of S-duality and linear T-duality to find the R-R corrections to the supergravity at order $\alpha'^3$, up to field redefinition. |
2011.01906 | Mikhail Khramtsov | Mikhail Khramtsov, Elena Lanina | Spectral form factor in the double-scaled SYK model | 34+9 pages, 14 figures. v2: added reference, published version | JHEP 03 (2021) 031 | 10.1007/JHEP03(2021)031 | null | hep-th cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we study the spectral form factor in the SYK model in large $q$
limit at infinite temperature. We construct analytic solutions for the saddle
point equations that describe the slope and the ramp regions of the spectral
form factor time dependence. These saddle points are obtained by taking
different approaches to the large $q$ limit: the slope region is described by a
replica-diagonal solution and the ramp region is described by a
replica-nondiagonal solution. We find that the onset of the ramp behavior
happens at the Thouless time of order $q \log q$. We also evaluate the one-loop
corrections to the slope and ramp solutions for late times, and study the
transition from the slope to the ramp. We show this transition is accompanied
by the breakdown of the perturbative $1/q$ expansion, and that the Thouless
time is defined by the consistency of extrapolation of this expansion to late
times.
| [
{
"created": "Tue, 3 Nov 2020 18:33:50 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Mar 2021 17:10:14 GMT",
"version": "v2"
}
] | 2021-03-12 | [
[
"Khramtsov",
"Mikhail",
""
],
[
"Lanina",
"Elena",
""
]
] | In this note we study the spectral form factor in the SYK model in large $q$ limit at infinite temperature. We construct analytic solutions for the saddle point equations that describe the slope and the ramp regions of the spectral form factor time dependence. These saddle points are obtained by taking different approaches to the large $q$ limit: the slope region is described by a replica-diagonal solution and the ramp region is described by a replica-nondiagonal solution. We find that the onset of the ramp behavior happens at the Thouless time of order $q \log q$. We also evaluate the one-loop corrections to the slope and ramp solutions for late times, and study the transition from the slope to the ramp. We show this transition is accompanied by the breakdown of the perturbative $1/q$ expansion, and that the Thouless time is defined by the consistency of extrapolation of this expansion to late times. |
hep-th/0302224 | Rudra Prakash Malik | R. P. Malik (Bose National Centre) | Hamiltonian and Lagrangian Dynamics in a Noncommutative Space | LaTeX, 12 pages, minor changes in the title and text, references
expanded, version to appear in Mod. Phys. Lett. A | Mod.Phys.Lett. A18 (2003) 2795-2806 | 10.1142/S0217732303012350 | null | hep-th | null | We discuss the dynamics of a particular two-dimensional (2D) physical system
in the four dimensional (4D) (non-)commutative phase space by exploiting the
consistent Hamiltonian and Lagrangian formalisms based on the symplectic
structures defined on the 4D (non-)commutative cotangent manifolds. The
noncommutativity exists {\it equivalently} in the coordinate or the momentum
planes embedded in the 4D cotangent manifolds. The signature of this
noncommutativity is reflected in the derivation of the first-order Lagrangians
where we exploit the most general form of the Legendre transformation defined
on the (non-)commutative (co-)tangent manifolds. The second-order Lagrangian,
defined on the 4D {\it tangent manifold}, turns out to be the {\it same}
irrespective of the noncommutativity present in the 4D cotangent manifolds for
the discussion of the Hamiltonian formulation. A connection with the
noncommutativity of the dynamics, associated with the quantum groups on the
q-deformed 4D cotangent manifolds, is also pointed out.
| [
{
"created": "Fri, 28 Feb 2003 15:18:48 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Mar 2003 16:39:04 GMT",
"version": "v2"
},
{
"created": "Sat, 15 Mar 2003 13:16:07 GMT",
"version": "v3"
},
{
"created": "Tue, 21 Oct 2003 12:23:14 GMT",
"version": "v4"
},
{
"cr... | 2009-11-10 | [
[
"Malik",
"R. P.",
"",
"Bose National Centre"
]
] | We discuss the dynamics of a particular two-dimensional (2D) physical system in the four dimensional (4D) (non-)commutative phase space by exploiting the consistent Hamiltonian and Lagrangian formalisms based on the symplectic structures defined on the 4D (non-)commutative cotangent manifolds. The noncommutativity exists {\it equivalently} in the coordinate or the momentum planes embedded in the 4D cotangent manifolds. The signature of this noncommutativity is reflected in the derivation of the first-order Lagrangians where we exploit the most general form of the Legendre transformation defined on the (non-)commutative (co-)tangent manifolds. The second-order Lagrangian, defined on the 4D {\it tangent manifold}, turns out to be the {\it same} irrespective of the noncommutativity present in the 4D cotangent manifolds for the discussion of the Hamiltonian formulation. A connection with the noncommutativity of the dynamics, associated with the quantum groups on the q-deformed 4D cotangent manifolds, is also pointed out. |
hep-th/0007256 | Dimitry Leites | Dimitry Leites | How to superize Liouville equation | null | J. Nonlinear Math. Phys. 7 (2000), no. 3, 263-267 | 10.2991/jnmp.2000.7.3.2 | JNMP 4/2002 (Letter) | hep-th | null | So far, there are described in the literature two ways to superize the
Liouville equation: for a scalar field (for $N\leq 4$) and for a vector-valued
field (analogs of the Leznov--Saveliev equations) for N=1. Both superizations
are performed with the help of Neveu--Schwarz superalgebra. We consider another
version of these superLiouville equations based on the Ramond superalgebra,
their explicit solutions are given by Ivanov--Krivonos' scheme. Open problems
are offered.
| [
{
"created": "Sat, 1 Jul 2000 00:00:00 GMT",
"version": "v1"
}
] | 2015-06-25 | [
[
"Leites",
"Dimitry",
""
]
] | So far, there are described in the literature two ways to superize the Liouville equation: for a scalar field (for $N\leq 4$) and for a vector-valued field (analogs of the Leznov--Saveliev equations) for N=1. Both superizations are performed with the help of Neveu--Schwarz superalgebra. We consider another version of these superLiouville equations based on the Ramond superalgebra, their explicit solutions are given by Ivanov--Krivonos' scheme. Open problems are offered. |
1406.4578 | Carlos M. Naon | R. E. Gamboa Sarav\'i, C. M. Na\'on and F. A. Schaposnik | Duality and bosonization in Schwinger-Keldysh formulation | 16 pages, 1 figure | null | 10.1088/1742-5468/2014/09/P09034 | null | hep-th cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a path-integral bosonization approach for systems out of
equilibrium based on a duality transformation of the original Dirac fermion
theory combined with the Schwinger-Keldysh time closed contour technique, to
handle the non-equilibrium situation. The duality approach to bosonization that
we present is valid for $D \geq 2$ space-time dimensions leading for $D=2$ to
exact results. In this last case we present the bosonization rules for fermion
currents, calculate current-current correlation functions and establish the
connection between the fermionic and bosonic distribution functions in a
generic, nonequilibrium situation.
| [
{
"created": "Wed, 18 Jun 2014 02:53:20 GMT",
"version": "v1"
}
] | 2015-06-22 | [
[
"Saraví",
"R. E. Gamboa",
""
],
[
"Naón",
"C. M.",
""
],
[
"Schaposnik",
"F. A.",
""
]
] | We present a path-integral bosonization approach for systems out of equilibrium based on a duality transformation of the original Dirac fermion theory combined with the Schwinger-Keldysh time closed contour technique, to handle the non-equilibrium situation. The duality approach to bosonization that we present is valid for $D \geq 2$ space-time dimensions leading for $D=2$ to exact results. In this last case we present the bosonization rules for fermion currents, calculate current-current correlation functions and establish the connection between the fermionic and bosonic distribution functions in a generic, nonequilibrium situation. |
2402.12087 | Matheus Fabri | Matheus Fabri, Davide Polvara | One-loop elastic amplitudes from tree-level elasticity in 2d | 42 pages + appendices; 12 figures; v2: modified the acknowledgments | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we extend the study initiated in arXiv:2302.04709v2 [hep-th] to
the computation of one-loop elastic amplitudes. We consider 1+1 dimensional
massive bosonic Lagrangians with polynomial-like potentials and absence of
inelastic processes at the tree level; starting from these assumptions we show
how to write sums of one-loop diagrams as products and integrals of tree-level
amplitudes. We derive in this way a universal formula for the one-loop
two-to-two S-matrices in terms of tree S-matrices. We test our results on
different integrable theories, such as sinh-Gordon, Bullough Dodd and the full
class of simply-laced affine Toda theories, finding perfect agreement with the
bootstrapped S-matrices known in the literature. We show how Landau
singularities in amplitudes are naturally captured by our universal formula
while they are lost in results based on unitarity-cut methods implemented in
the past arXiv:1304.1798v3 [hep-th], arXiv:1405.7947v2 [hep-th].
| [
{
"created": "Mon, 19 Feb 2024 12:08:04 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Mar 2024 09:55:58 GMT",
"version": "v2"
}
] | 2024-03-08 | [
[
"Fabri",
"Matheus",
""
],
[
"Polvara",
"Davide",
""
]
] | In this paper we extend the study initiated in arXiv:2302.04709v2 [hep-th] to the computation of one-loop elastic amplitudes. We consider 1+1 dimensional massive bosonic Lagrangians with polynomial-like potentials and absence of inelastic processes at the tree level; starting from these assumptions we show how to write sums of one-loop diagrams as products and integrals of tree-level amplitudes. We derive in this way a universal formula for the one-loop two-to-two S-matrices in terms of tree S-matrices. We test our results on different integrable theories, such as sinh-Gordon, Bullough Dodd and the full class of simply-laced affine Toda theories, finding perfect agreement with the bootstrapped S-matrices known in the literature. We show how Landau singularities in amplitudes are naturally captured by our universal formula while they are lost in results based on unitarity-cut methods implemented in the past arXiv:1304.1798v3 [hep-th], arXiv:1405.7947v2 [hep-th]. |
1504.02223 | Jakub Jankowski | Jakub Jankowski | Hydrodynamization Physics from Holography | Talk presented at the conference "Compact Stars in the QCD Phase
Diagram IV (CSQCD IV)" September 26-30, 2014, Prerow, Germany | null | null | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give an overview the results of some numerical simulations of Bjorken flow
in the framework of the AdS/CFT correspondence, as described in
arXiv:1411.1969.
| [
{
"created": "Thu, 9 Apr 2015 08:39:40 GMT",
"version": "v1"
}
] | 2015-04-10 | [
[
"Jankowski",
"Jakub",
""
]
] | We give an overview the results of some numerical simulations of Bjorken flow in the framework of the AdS/CFT correspondence, as described in arXiv:1411.1969. |
1811.05951 | Sam S. C. Wong | Lam Hui, Austin Joyce, Sam S. C. Wong | Inflationary soft theorems revisited: A generalized consistency relation | 74 pages (main text: 38 pages, appendix: 30 pages), 3 figures, 2
tables | JCAP 1902 (2019) 060 | 10.1088/1475-7516/2019/02/060 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reconsider the derivation of soft theorems associated with
nonlinearly-realized symmetries in cosmology. Utilizing the path integral, we
derive a generalized consistency relation that relates a squeezed $(N+1)$-point
correlation function to an $N$-point function, where the relevant soft mode is
at early rather than late time. This generalized (early-late-time) version has
wider applicability than the standard consistency relation where all modes are
evaluated at late times. We elucidate the conditions under which the latter
follows from the former. A key ingredient is the physical mode condition: that
the nonlinear part of the symmetry transformation must match the time
dependence of the dominant, long wavelength physical mode. This is closely
related to, but distinct from, the adiabatic mode condition. Our derivation
sheds light on a number of otherwise puzzling features of the standard
consistency relation: (1) the underlying nonlinearly-realized symmetries (such
as dilation and special conformal transformation SCT) originate as residual
gauge redundancies, yet the consistency relation has physical content---for
instance, it can be violated; (2) the standard consistency relation is known to
fail in ultra-slow-roll inflation, but since dilation and SCT remain good
symmetries, there should be a replacement for the standard relation; (3) in
large scale structure applications, it is known that the standard consistency
relation breaks down if the long wavelength power spectrum is too blue. The
early-late-time consistency relation helps address these puzzles. We introduce
a toy model where explicit checks of this generalized consistency relation are
simple to carry out. Our methodology can be adapted to cases where violations
of the standard consistency relation involve additional light degrees of
freedom beyond the inflaton.
| [
{
"created": "Wed, 14 Nov 2018 18:40:29 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Feb 2019 04:16:05 GMT",
"version": "v2"
}
] | 2019-03-12 | [
[
"Hui",
"Lam",
""
],
[
"Joyce",
"Austin",
""
],
[
"Wong",
"Sam S. C.",
""
]
] | We reconsider the derivation of soft theorems associated with nonlinearly-realized symmetries in cosmology. Utilizing the path integral, we derive a generalized consistency relation that relates a squeezed $(N+1)$-point correlation function to an $N$-point function, where the relevant soft mode is at early rather than late time. This generalized (early-late-time) version has wider applicability than the standard consistency relation where all modes are evaluated at late times. We elucidate the conditions under which the latter follows from the former. A key ingredient is the physical mode condition: that the nonlinear part of the symmetry transformation must match the time dependence of the dominant, long wavelength physical mode. This is closely related to, but distinct from, the adiabatic mode condition. Our derivation sheds light on a number of otherwise puzzling features of the standard consistency relation: (1) the underlying nonlinearly-realized symmetries (such as dilation and special conformal transformation SCT) originate as residual gauge redundancies, yet the consistency relation has physical content---for instance, it can be violated; (2) the standard consistency relation is known to fail in ultra-slow-roll inflation, but since dilation and SCT remain good symmetries, there should be a replacement for the standard relation; (3) in large scale structure applications, it is known that the standard consistency relation breaks down if the long wavelength power spectrum is too blue. The early-late-time consistency relation helps address these puzzles. We introduce a toy model where explicit checks of this generalized consistency relation are simple to carry out. Our methodology can be adapted to cases where violations of the standard consistency relation involve additional light degrees of freedom beyond the inflaton. |
hep-th/0502035 | Nemanja Kaloper | Nemanja Kaloper | Gravitational Shock Waves and Their Scattering in Brane-Induced Gravity | 13 pages, 2 .eps figures, Revtex4; v4: a sign error corrected; the
correction tantamount to swapping normal and self-inflating branch solutions;
the only significant change is that the spectacular new instability is on the
self-inflating branch in the limit of vanishing brane tension | Phys.Rev.D71:086003,2005; Erratum-ibid.D71:129905,2005 | 10.1103/PhysRevD.71.086003 10.1103/PhysRevD.71.129905 | null | hep-th astro-ph gr-qc hep-ph | null | In this paper, following hep-th/0501028, we present a detailed derivation and
discussion of the exact gravitational field solutions for a relativistic
particle localized on a tensional brane in brane-induced gravity. Our
derivation yields the metrics for both the normal branch and the self-inflating
branch DGP braneworlds. They generalize the 4D gravitational shock waves in de
Sitter space, and so we compare them to the corresponding 4D General Relativity
solution and to the case when gravity resides only in the 5D bulk, and there
are no brane-localized graviton kinetic terms. We write down the solutions in
terms of two-variable hypergeometric functions and find that at short distances
the shock wave profiles look exactly the same as in 4D Minkowski space, thus
recovering the limit one expects if gravity is to be mediated by a metastable,
but long-lived, bulk resonance. The corrections far from the source differ from
the long distance corrections in 4D de Sitter space, coming in with odd powers
of the distance. We discuss in detail the limiting case on the self-inflating
branch when gravity is modified exactly at de Sitter radius, and energy can be
lost into the bulk by resonance-like processes. Finally, we consider Planckian
scattering on the brane, and find that for a sufficiently small impact
parameter it is approximated very closely by the usual 4D description.
| [
{
"created": "Thu, 3 Feb 2005 19:18:04 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Mar 2005 19:03:16 GMT",
"version": "v2"
},
{
"created": "Tue, 12 Apr 2005 15:45:37 GMT",
"version": "v3"
},
{
"created": "Sun, 22 May 2005 05:14:17 GMT",
"version": "v4"
}
] | 2014-11-18 | [
[
"Kaloper",
"Nemanja",
""
]
] | In this paper, following hep-th/0501028, we present a detailed derivation and discussion of the exact gravitational field solutions for a relativistic particle localized on a tensional brane in brane-induced gravity. Our derivation yields the metrics for both the normal branch and the self-inflating branch DGP braneworlds. They generalize the 4D gravitational shock waves in de Sitter space, and so we compare them to the corresponding 4D General Relativity solution and to the case when gravity resides only in the 5D bulk, and there are no brane-localized graviton kinetic terms. We write down the solutions in terms of two-variable hypergeometric functions and find that at short distances the shock wave profiles look exactly the same as in 4D Minkowski space, thus recovering the limit one expects if gravity is to be mediated by a metastable, but long-lived, bulk resonance. The corrections far from the source differ from the long distance corrections in 4D de Sitter space, coming in with odd powers of the distance. We discuss in detail the limiting case on the self-inflating branch when gravity is modified exactly at de Sitter radius, and energy can be lost into the bulk by resonance-like processes. Finally, we consider Planckian scattering on the brane, and find that for a sufficiently small impact parameter it is approximated very closely by the usual 4D description. |
2205.02442 | Fu-Guo Yang | Yu-Sen An, Li Li, Fu-Guo Yang and Run-Qiu Yang | Interior Structure and Complexity Growth Rate of Holographic
Superconductor from M-Theory | 40 pages, 20 figures. typos corrected | JHEP 08 (2022) 133 | 10.1007/JHEP08(2022)133 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the interior dynamics of a top-down holographic superconductor from
M-theory. The condense of the charged scalar hair necessarily removes the inner
Cauchy horizon and the spacetime ends at a spacelike singularity. Although
there is a smooth superconducting phase transition at the critical temperature,
the onset of superconductivity is accompanied by intricate interior dynamics,
including the collapse of the Einstein-Rosen bridge, the Josephson oscillations
of the condensate, and the final Kasner singularity. We obtain analytically the
transformation rule for the alternation of different Kasner epochs. Thanks to
the nonlinear couplings of the top-down theory, there is generically a
never-ending chaotic alternation of Kasner epochs towards the singularity. We
compute the holographic complexity using both the complexity-action and the
complexity-volume dualities. In contrast to the latter, the complexity growth
rate from the complexity-action duality has a discontinuity at the critical
temperature, characterizing the sudden change of the internal structure before
and after the superconducting phase transition.
| [
{
"created": "Thu, 5 May 2022 05:05:12 GMT",
"version": "v1"
},
{
"created": "Wed, 11 May 2022 00:25:11 GMT",
"version": "v2"
},
{
"created": "Sat, 2 Jul 2022 10:47:04 GMT",
"version": "v3"
},
{
"created": "Thu, 25 Aug 2022 06:24:57 GMT",
"version": "v4"
}
] | 2022-08-26 | [
[
"An",
"Yu-Sen",
""
],
[
"Li",
"Li",
""
],
[
"Yang",
"Fu-Guo",
""
],
[
"Yang",
"Run-Qiu",
""
]
] | We study the interior dynamics of a top-down holographic superconductor from M-theory. The condense of the charged scalar hair necessarily removes the inner Cauchy horizon and the spacetime ends at a spacelike singularity. Although there is a smooth superconducting phase transition at the critical temperature, the onset of superconductivity is accompanied by intricate interior dynamics, including the collapse of the Einstein-Rosen bridge, the Josephson oscillations of the condensate, and the final Kasner singularity. We obtain analytically the transformation rule for the alternation of different Kasner epochs. Thanks to the nonlinear couplings of the top-down theory, there is generically a never-ending chaotic alternation of Kasner epochs towards the singularity. We compute the holographic complexity using both the complexity-action and the complexity-volume dualities. In contrast to the latter, the complexity growth rate from the complexity-action duality has a discontinuity at the critical temperature, characterizing the sudden change of the internal structure before and after the superconducting phase transition. |
2210.03107 | Zixia Wei | Yuya Kusuki, Zixia Wei | AdS/BCFT from Conformal Bootstrap: Construction of Gravity with Branes
and Particles | 63 pages, 14 figures; v2: references added, minor corrections | JHEP 01 (2023) 108 | 10.1007/JHEP01(2023)108 | CALT-TH 2022-034, RIKEN-iTHEMS-Report-22, YITP-22-108 | hep-th | http://creativecommons.org/licenses/by/4.0/ | We initiate a conformal bootstrap program to study AdS3/BCFT2 with heavy
excitations. We start by solving the bootstrap equations associated with
two-point functions of scalar/non-scalar primaries under the assumption that
one-point functions vanish. These correspond to gravity with a brane and a
non-spinning/spinning particle where the brane and the particle do not
intersect with each other. From the bootstrap equations, we obtain the energy
spectrum and the modified black hole threshold. We then carefully analyze the
gravity duals and find the results perfectly match the BCFT analysis. In
particular, brane self-intersections, which are usually considered to be
problematic, are nicely avoided by the black hole formation. Despite the
assumption to solve the bootstrap equations, one-point functions of scalar
primaries can be non-zero in general. We construct the holographic dual for a
non-vanishing one-point function, in which the heavy particle can end on the
brane, by holographically computing the Renyi entropy in AdS/BCFT. As a bonus,
we find a refined formula for the holographic Renyi entropy, which appears to
be crucial to correctly reproduce the boundary entropy term. On the other hand,
we explain why one-point functions of non-scalar primaries always vanish from
the gravity dual. The independence of the bootstrap equations to the boundary
entropy helps us to construct gravity duals with negative tension branes. We
also find a holographic dual of boundary primaries.
| [
{
"created": "Thu, 6 Oct 2022 17:57:05 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Dec 2022 18:39:32 GMT",
"version": "v2"
}
] | 2023-01-26 | [
[
"Kusuki",
"Yuya",
""
],
[
"Wei",
"Zixia",
""
]
] | We initiate a conformal bootstrap program to study AdS3/BCFT2 with heavy excitations. We start by solving the bootstrap equations associated with two-point functions of scalar/non-scalar primaries under the assumption that one-point functions vanish. These correspond to gravity with a brane and a non-spinning/spinning particle where the brane and the particle do not intersect with each other. From the bootstrap equations, we obtain the energy spectrum and the modified black hole threshold. We then carefully analyze the gravity duals and find the results perfectly match the BCFT analysis. In particular, brane self-intersections, which are usually considered to be problematic, are nicely avoided by the black hole formation. Despite the assumption to solve the bootstrap equations, one-point functions of scalar primaries can be non-zero in general. We construct the holographic dual for a non-vanishing one-point function, in which the heavy particle can end on the brane, by holographically computing the Renyi entropy in AdS/BCFT. As a bonus, we find a refined formula for the holographic Renyi entropy, which appears to be crucial to correctly reproduce the boundary entropy term. On the other hand, we explain why one-point functions of non-scalar primaries always vanish from the gravity dual. The independence of the bootstrap equations to the boundary entropy helps us to construct gravity duals with negative tension branes. We also find a holographic dual of boundary primaries. |
hep-th/9305144 | null | R.M. Kashaev and Yu.G. Stroganov | Generalized Yang-Baxter Equation | 13 pages, TeX file. IHEP-93-?? | Mod.Phys.Lett. A8 (1993) 2299-2310 | 10.1142/S0217732393003603 | null | hep-th | null | A generalization of the Yang-Baxter equation is proposed. It enables to
construct integrable two-dimensional lattice models with commuting two-layer
transfer matrices, while single-layer ones are not necessarily commutative.
Explicit solutions to the generalized equations are found. They are related
with Botzmann weights of the $sl(3)$ chiral Potts model.
| [
{
"created": "Wed, 26 May 1993 08:12:07 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Kashaev",
"R. M.",
""
],
[
"Stroganov",
"Yu. G.",
""
]
] | A generalization of the Yang-Baxter equation is proposed. It enables to construct integrable two-dimensional lattice models with commuting two-layer transfer matrices, while single-layer ones are not necessarily commutative. Explicit solutions to the generalized equations are found. They are related with Botzmann weights of the $sl(3)$ chiral Potts model. |
hep-th/0605047 | Eva Silverstein | Daniel Green, Eva Silverstein, David Starr | Attractor Explosions and Catalyzed Vacuum Decay | 26 pages harvmac big; 2 figures | Phys.Rev.D74:024004,2006 | 10.1103/PhysRevD.74.024004 | SU-ITP-06/13 SLAC-PUB-11846 | hep-th | null | We present a mechanism for catalyzed vacuum bubble production obtained by
combining moduli stabilization with a generalized attractor phenomenon in which
moduli are sourced by compact objects. This leads straightforwardly to a class
of examples in which the Hawking decay process for black holes unveils a bubble
of a different vacuum from the ambient one, generalizing the new endpoint for
Hawking evaporation discovered recently by Horowitz. Catalyzed vacuum bubble
production can occur for both charged and uncharged bodies, including
Schwarzschild black holes for which massive particles produced in the Hawking
process can trigger vacuum decay. We briefly discuss applications of this
process to the population and stability of metastable vacua.
| [
{
"created": "Thu, 4 May 2006 18:16:18 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Green",
"Daniel",
""
],
[
"Silverstein",
"Eva",
""
],
[
"Starr",
"David",
""
]
] | We present a mechanism for catalyzed vacuum bubble production obtained by combining moduli stabilization with a generalized attractor phenomenon in which moduli are sourced by compact objects. This leads straightforwardly to a class of examples in which the Hawking decay process for black holes unveils a bubble of a different vacuum from the ambient one, generalizing the new endpoint for Hawking evaporation discovered recently by Horowitz. Catalyzed vacuum bubble production can occur for both charged and uncharged bodies, including Schwarzschild black holes for which massive particles produced in the Hawking process can trigger vacuum decay. We briefly discuss applications of this process to the population and stability of metastable vacua. |
hep-th/9505120 | Maximilian Kreuzer | M. Kreuzer and H. Skarke | ORBIFOLDS WITH DISCRETE TORSION AND MIRROR SYMMETRY | 11 pages, LaTeX | Phys.Lett. B357 (1995) 81-88 | 10.1016/0370-2693(95)00849-G | TUW-95/01 and ITP-UH-03/95 | hep-th | null | For a large class of $N=2$ SCFTs, which includes minimal models and many $\s$
models on Calabi-Yau manifolds, the mirror theory can be obtained as an
orbifold. We show that in such a situation the construction of the mirror can
be extended to the presence of discrete torsions. In the case of the
$\ZZ_2\ex\ZZ_2$ torus orbifold, discrete torsion between the two generators
directly provides the mirror model. Working at the Gepner point it is, however,
possible to understand this mirror pair as a special case of the
Berglund--H"ubsch construction. This seems to indicate that the $\ZZ_2\ex\ZZ_2$
example is a mere coincidence, due to special properties of $\ZZ_2$ twists,
rather than a hint at a new mechanism for mirror symmetry.
| [
{
"created": "Fri, 19 May 1995 11:11:29 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Kreuzer",
"M.",
""
],
[
"Skarke",
"H.",
""
]
] | For a large class of $N=2$ SCFTs, which includes minimal models and many $\s$ models on Calabi-Yau manifolds, the mirror theory can be obtained as an orbifold. We show that in such a situation the construction of the mirror can be extended to the presence of discrete torsions. In the case of the $\ZZ_2\ex\ZZ_2$ torus orbifold, discrete torsion between the two generators directly provides the mirror model. Working at the Gepner point it is, however, possible to understand this mirror pair as a special case of the Berglund--H"ubsch construction. This seems to indicate that the $\ZZ_2\ex\ZZ_2$ example is a mere coincidence, due to special properties of $\ZZ_2$ twists, rather than a hint at a new mechanism for mirror symmetry. |
2404.04323 | Michael P. Kinach | Michael P. Kinach, Matthew W. Choptuik | Relativistic head-on collisions of $U(1)$ gauged Q-balls | 20 pages, 17 figures; v2: updated to reflect minor changes in
published version | Phys. Rev. D 110, 015012 (2024) | 10.1103/PhysRevD.110.015012 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the collision dynamics of $U(1)$ gauged Q-balls by performing
high-resolution numerical simulations in axisymmetry. Focusing on the case of
relativistic head-on collisions, we consider the effects of the initial
velocity, relative phase, relative charge, and electromagnetic coupling
strength on the outcome of the collision. We find that the collision dynamics
can depend strongly on these parameters; most notably, electromagnetic effects
can significantly alter the outcome of the collision when the gauge coupling is
large. When the gauge coupling is small, we find that the dynamics generally
resemble those of ordinary (non-gauged) Q-balls.
| [
{
"created": "Fri, 5 Apr 2024 18:00:02 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Aug 2024 14:33:52 GMT",
"version": "v2"
}
] | 2024-08-15 | [
[
"Kinach",
"Michael P.",
""
],
[
"Choptuik",
"Matthew W.",
""
]
] | We investigate the collision dynamics of $U(1)$ gauged Q-balls by performing high-resolution numerical simulations in axisymmetry. Focusing on the case of relativistic head-on collisions, we consider the effects of the initial velocity, relative phase, relative charge, and electromagnetic coupling strength on the outcome of the collision. We find that the collision dynamics can depend strongly on these parameters; most notably, electromagnetic effects can significantly alter the outcome of the collision when the gauge coupling is large. When the gauge coupling is small, we find that the dynamics generally resemble those of ordinary (non-gauged) Q-balls. |
2112.12684 | Gerben Oling | Dennis Hansen, Niels A. Obers, Gerben Oling, Benjamin T. S{\o}gaard | Carroll Expansion of General Relativity | 24+5 pages, v2: added references, v3: minor revisions, v4: minor
clarification, v5: fixed typo and added reference, published version | SciPost Phys. 13, 055 (2022) | 10.21468/SciPostPhys.13.3.055 | NORDITA 2021-156 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the small speed of light expansion of general relativity, utilizing
the modern perspective on non-Lorentzian geometry. This is an expansion around
the ultra-local Carroll limit, in which light cones close up. To this end, we
first rewrite the Einstein-Hilbert action in pre-ultra-local variables, which
is closely related to the 3+1 decomposition of general relativity. At leading
order in the expansion, these pre-ultra-local variables yield Carroll geometry
and the resulting action describes the electric Carroll limit of general
relativity. We also obtain the next-to-leading order action in terms of Carroll
geometry and next-to-leading order geometric fields. The leading order theory
yields constraint and evolution equations, and we can solve the evolution
analytically. We furthermore construct a Carroll version of Bowen-York initial
data, which has associated conserved boundary linear and angular momentum
charges. The notion of mass is not present at leading order and only enters at
next-to-leading order. This is illustrated by considering a particular
truncation of the next-to-leading order action, corresponding to the magnetic
Carroll limit, where we find a solution that describes the Carroll limit of a
Schwarzschild black hole. Finally, we comment on how a cosmological constant
can be incorporated in our analysis.
| [
{
"created": "Thu, 23 Dec 2021 16:26:16 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Feb 2022 16:08:05 GMT",
"version": "v2"
},
{
"created": "Fri, 1 Jul 2022 15:19:17 GMT",
"version": "v3"
},
{
"created": "Thu, 21 Jul 2022 23:52:47 GMT",
"version": "v4"
},
{
"cre... | 2022-09-14 | [
[
"Hansen",
"Dennis",
""
],
[
"Obers",
"Niels A.",
""
],
[
"Oling",
"Gerben",
""
],
[
"Søgaard",
"Benjamin T.",
""
]
] | We study the small speed of light expansion of general relativity, utilizing the modern perspective on non-Lorentzian geometry. This is an expansion around the ultra-local Carroll limit, in which light cones close up. To this end, we first rewrite the Einstein-Hilbert action in pre-ultra-local variables, which is closely related to the 3+1 decomposition of general relativity. At leading order in the expansion, these pre-ultra-local variables yield Carroll geometry and the resulting action describes the electric Carroll limit of general relativity. We also obtain the next-to-leading order action in terms of Carroll geometry and next-to-leading order geometric fields. The leading order theory yields constraint and evolution equations, and we can solve the evolution analytically. We furthermore construct a Carroll version of Bowen-York initial data, which has associated conserved boundary linear and angular momentum charges. The notion of mass is not present at leading order and only enters at next-to-leading order. This is illustrated by considering a particular truncation of the next-to-leading order action, corresponding to the magnetic Carroll limit, where we find a solution that describes the Carroll limit of a Schwarzschild black hole. Finally, we comment on how a cosmological constant can be incorporated in our analysis. |
1805.03014 | Behzad Eslam Panah | B. Eslam Panah | Effects of energy dependent spacetime on geometrical thermodynamics and
heat engine of black holes: gravity's rainbow | 18 Pages, 12 figures, accepted for publication in Physics Letters B | Phys. Lett. B 787 (2018) 45 | 10.1016/j.physletb.2018.10.042 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Inspired by applications of gravity's rainbow in UV completion of general
relativity, we investigate charged topological black holes in gravity's rainbow
and show that depending on the values of different parameters, these solutions
may encounter with black hole solutions with two horizons, extreme black hole
(one horizon) or naked singularity (without horizon). First, we obtain black
hole solutions, calculate thermodynamical quantities of the system and check
the first law of thermodynamics. Then, we study the thermodynamical behavior of
the system including thermal stability and phase transitions. In addition, we
employ geometrical thermodynamics to probe phase transition points and limits
on having physical solutions. Finally, we obtain heat engines corresponding to
these black holes. The goal is to see how black holes' parameters such as
topological factor and rainbow functions would affect efficiency of the heat
engines.
| [
{
"created": "Tue, 1 May 2018 05:05:44 GMT",
"version": "v1"
},
{
"created": "Sat, 12 May 2018 04:08:24 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Oct 2018 17:30:49 GMT",
"version": "v3"
}
] | 2018-10-31 | [
[
"Panah",
"B. Eslam",
""
]
] | Inspired by applications of gravity's rainbow in UV completion of general relativity, we investigate charged topological black holes in gravity's rainbow and show that depending on the values of different parameters, these solutions may encounter with black hole solutions with two horizons, extreme black hole (one horizon) or naked singularity (without horizon). First, we obtain black hole solutions, calculate thermodynamical quantities of the system and check the first law of thermodynamics. Then, we study the thermodynamical behavior of the system including thermal stability and phase transitions. In addition, we employ geometrical thermodynamics to probe phase transition points and limits on having physical solutions. Finally, we obtain heat engines corresponding to these black holes. The goal is to see how black holes' parameters such as topological factor and rainbow functions would affect efficiency of the heat engines. |
2205.15348 | Luca Buoninfante | Luca Buoninfante | On the contour prescriptions in string-inspired nonlocal field theories | 45 pages, 8 figures (many subfigures). V2: minor changes; version
accepted for publication in PRD | Phys. Rev. D 106, 126028 (2022) | 10.1103/PhysRevD.106.126028 | NORDITA 2022-035 | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | In quantum field theory, a consistent prescription to define and deform
integration contours in the complex energy plane is needed to evaluate loop
integrals and compute scattering amplitudes. In some nonlocal field theories,
including string field theory, interaction vertices contain transcendental
functions of momenta that can diverge along certain complex directions, thus
making it impossible to use standard techniques, such as Wick rotation, to
perform loop integrals. The aim of this paper is to investigate the viability
of several contour prescriptions in the presence of nonlocal vertices. We
consider three ``different'' prescriptions, and establish their (in)equivalence
in local and nonlocal theories. In particular, we prove that all these
prescriptions turn out to be equivalent in standard local theories, while this
is not the case for nonlocal theories where amplitudes must be defined first in
Euclidean space, and then analytically continued to Minkowski. We work at
one-loop level and focus on the bubble diagram. In addition to proving general
results for a large class of nonlocal theories, we show explicit calculations
in a string inspired nonlocal scalar model.
| [
{
"created": "Mon, 30 May 2022 18:00:28 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Dec 2022 15:26:20 GMT",
"version": "v2"
}
] | 2023-01-02 | [
[
"Buoninfante",
"Luca",
""
]
] | In quantum field theory, a consistent prescription to define and deform integration contours in the complex energy plane is needed to evaluate loop integrals and compute scattering amplitudes. In some nonlocal field theories, including string field theory, interaction vertices contain transcendental functions of momenta that can diverge along certain complex directions, thus making it impossible to use standard techniques, such as Wick rotation, to perform loop integrals. The aim of this paper is to investigate the viability of several contour prescriptions in the presence of nonlocal vertices. We consider three ``different'' prescriptions, and establish their (in)equivalence in local and nonlocal theories. In particular, we prove that all these prescriptions turn out to be equivalent in standard local theories, while this is not the case for nonlocal theories where amplitudes must be defined first in Euclidean space, and then analytically continued to Minkowski. We work at one-loop level and focus on the bubble diagram. In addition to proving general results for a large class of nonlocal theories, we show explicit calculations in a string inspired nonlocal scalar model. |
hep-th/9508052 | Fernando C. Lombardo | Fernando Lombardo and Francisco Mazzitelli | Coarse graining and decoherence in quantum field theory | 21 pages (RevTeX) and 5 encapsulated postscript figures | Phys.Rev.D53:2001-2011,1996 | 10.1103/PhysRevD.53.2001 | null | hep-th gr-qc | null | We consider a $\lambda \phi^4$ theory in Minkowski spacetime. We compute a
"coarse grained effective action" by integrating out the field modes with
wavelength shorter than a critical value. From this effective action we obtain
the evolution equation for the reduced density matrix (master equation). We
compute the diffusion coefficients of this equation and analyze the decoherence
induced on the long- wavelength modes. We generalize the results to the case of
a conformally coupled scalar field in DeSitter spacetime. We show that the
decoherence is effective as long as the critical wavelength is taken to be not
shorter than the Hubble radius.
| [
{
"created": "Fri, 11 Aug 1995 20:38:12 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Lombardo",
"Fernando",
""
],
[
"Mazzitelli",
"Francisco",
""
]
] | We consider a $\lambda \phi^4$ theory in Minkowski spacetime. We compute a "coarse grained effective action" by integrating out the field modes with wavelength shorter than a critical value. From this effective action we obtain the evolution equation for the reduced density matrix (master equation). We compute the diffusion coefficients of this equation and analyze the decoherence induced on the long- wavelength modes. We generalize the results to the case of a conformally coupled scalar field in DeSitter spacetime. We show that the decoherence is effective as long as the critical wavelength is taken to be not shorter than the Hubble radius. |
hep-th/0310088 | Garnik Alexanian | G. Alexanian, D. Arnaudon and M.B.Paranjape | On plane wave and vortex-like solutions of noncommutative
Maxwell-Chern-Simons theory | 17 pages, LaTeX (JHEP), 1 figure, added references, version accepted
to JHEP | JHEP 0311 (2003) 011 | 10.1088/1126-6708/2003/11/011 | UdeM-GPP-TH-03-114 | hep-th | null | We investigate the spectrum of the gauge theory with Chern-Simons term on the
noncommutative plane, a modification of the description of the Quantum Hall
fluid recently proposed by Susskind. We find a series of the noncommutative
massive ``plane wave'' solutions with polarization dependent on the magnitude
of the wave-vector. The mass of each branch is fixed by the quantization
condition imposed on the coefficient of the noncommutative Chern-Simons term.
For the radially symmetric ansatz a vortex-like solution is found and
investigated. We derive a nonlinear difference equation describing these
solutions and we find their asymptotic form. These excitations should be
relevant in describing the Quantum Hall transitions between plateaus and the
end transition to the Hall Insulator.
| [
{
"created": "Thu, 9 Oct 2003 18:01:34 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Nov 2003 20:27:09 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Alexanian",
"G.",
""
],
[
"Arnaudon",
"D.",
""
],
[
"Paranjape",
"M. B.",
""
]
] | We investigate the spectrum of the gauge theory with Chern-Simons term on the noncommutative plane, a modification of the description of the Quantum Hall fluid recently proposed by Susskind. We find a series of the noncommutative massive ``plane wave'' solutions with polarization dependent on the magnitude of the wave-vector. The mass of each branch is fixed by the quantization condition imposed on the coefficient of the noncommutative Chern-Simons term. For the radially symmetric ansatz a vortex-like solution is found and investigated. We derive a nonlinear difference equation describing these solutions and we find their asymptotic form. These excitations should be relevant in describing the Quantum Hall transitions between plateaus and the end transition to the Hall Insulator. |
hep-th/0512252 | Shinya Tomizawa | Shinya Tomizawa, Yoshiyuki Morisawa and Yukinori Yasui | Vacuum solutions of five dimensional Einstein equations generated by
inverse scattering method | 10 pages, accepted for publication in Physical Review D | Phys.Rev. D73 (2006) 064009 | 10.1103/PhysRevD.73.064009 | null | hep-th | null | We study stationary and axially symmetric two solitonic solutions of five
dimensional vacuum Einstein equations by using the inverse scattering method
developed by Belinski and Zakharov. In this generation of the solutions, we use
five dimensional Minkowski spacetime as a seed. It is shown that if we restrict
ourselves to the case of one angular momentum component, the generated solution
coincides with a black ring solution with a rotating two sphere which was found
by Mishima and Iguchi recently.
| [
{
"created": "Tue, 20 Dec 2005 15:53:48 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Feb 2006 22:57:28 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Tomizawa",
"Shinya",
""
],
[
"Morisawa",
"Yoshiyuki",
""
],
[
"Yasui",
"Yukinori",
""
]
] | We study stationary and axially symmetric two solitonic solutions of five dimensional vacuum Einstein equations by using the inverse scattering method developed by Belinski and Zakharov. In this generation of the solutions, we use five dimensional Minkowski spacetime as a seed. It is shown that if we restrict ourselves to the case of one angular momentum component, the generated solution coincides with a black ring solution with a rotating two sphere which was found by Mishima and Iguchi recently. |
hep-th/9206042 | null | Y.Imamura, M.Sakamoto, T.Sasada and M.Tabuse | Symmetries between Untwisted and Twisted Strings on Asymmetric Orbifolds | Plain Tex, 35 pages, NBI-HE-92-34, KOBE-92-04 | Nucl.Phys. B390 (1993) 291-318 | 10.1016/0550-3213(93)90458-2 | null | hep-th | null | We study symmetries between untwisted and twisted strings on asymmetric
orbifolds. We present a list of asymmetric orbifold models to possess
intertwining currents which convert untwisted string states to twisted ones,
and vice versa. We also present a list of heterotic strings on asymmetric
orbifolds with supersymmetry between untwisted and twisted string states. Some
of properties inherent in asymmetric orbifolds, which are not shared by
symmetric orbifolds, are pointed out.
| [
{
"created": "Wed, 10 Jun 1992 12:20:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Imamura",
"Y.",
""
],
[
"Sakamoto",
"M.",
""
],
[
"Sasada",
"T.",
""
],
[
"Tabuse",
"M.",
""
]
] | We study symmetries between untwisted and twisted strings on asymmetric orbifolds. We present a list of asymmetric orbifold models to possess intertwining currents which convert untwisted string states to twisted ones, and vice versa. We also present a list of heterotic strings on asymmetric orbifolds with supersymmetry between untwisted and twisted string states. Some of properties inherent in asymmetric orbifolds, which are not shared by symmetric orbifolds, are pointed out. |
1012.3994 | Romuald A. Janik | Romuald A. Janik | Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections | 18 pages, see also overview article arXiv:1012.3982, v2: references
to other chapters updated, v3: references added; v4: various comments added,
journal version | null | 10.1007/s11005-011-0511-z | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In integrable quantum field theories the large volume spectrum is given by
the Bethe Ansatz. The leading corrections, due to virtual particles circulating
around the cylinder, are encoded in so-called Luscher corrections. In order to
apply these techniques to the AdS/CFT correspondence one has to generalize
these corrections to the case of generic dispersion relations and to
multiparticle states. We review these various generalizations and the
applications of Luscher's corrections to the study of the worldsheet QFT of the
superstring in AdS5xS5 and, consequently, to anomalous dimensions of operators
in N=4 SYM theory.
| [
{
"created": "Fri, 17 Dec 2010 20:58:13 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Dec 2010 19:21:03 GMT",
"version": "v2"
},
{
"created": "Sun, 2 Jan 2011 17:22:07 GMT",
"version": "v3"
},
{
"created": "Thu, 18 Aug 2011 01:54:02 GMT",
"version": "v4"
}
] | 2015-05-20 | [
[
"Janik",
"Romuald A.",
""
]
] | In integrable quantum field theories the large volume spectrum is given by the Bethe Ansatz. The leading corrections, due to virtual particles circulating around the cylinder, are encoded in so-called Luscher corrections. In order to apply these techniques to the AdS/CFT correspondence one has to generalize these corrections to the case of generic dispersion relations and to multiparticle states. We review these various generalizations and the applications of Luscher's corrections to the study of the worldsheet QFT of the superstring in AdS5xS5 and, consequently, to anomalous dimensions of operators in N=4 SYM theory. |
1612.07705 | Hong Liu | Paolo Glorioso and Hong Liu | The second law of thermodynamics from symmetry and unitarity | 17+18 pages, 1 figure. v2: references added, an implicit assumption
dropped, 2nd law proof remains non-perturbative, local 2nd law proof now
perturbative in derivative expansion | null | null | MIT-CTP/4859 | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The second law of thermodynamics states that for a thermally isolated system
entropy never decreases. Most physical processes we observe in nature involve
variations of macroscopic quantities over spatial and temporal scales much
larger than microscopic molecular collision scales and thus can be considered
as in local equilibrium. For a many-body system in local equilibrium a stronger
version of the second law applies which says that the entropy production at
each spacetime point should be non-negative. In this paper we provide a proof
of the second law for such systems and a first derivation of the local second
law. For this purpose we develop a general non-equilibrium effective field
theory of slow degrees of freedom from integrating out fast degrees of freedom
in a quantum many-body system and consider its classical limit. The key
elements of the proof are the presence of a $Z_2$ symmetry, which can be
considered as a proxy for local equilibrium and micro-time-reversibility, and a
classical remnant of quantum unitarity. The $Z_2$ symmetry leads to a local
current from a procedure analogous to that used in the Noether theorem.
Unitarity leads to a definite sign of the divergence of the current. We also
discuss the origin of an arrow of time, as well as the coincidence of causal
and thermodynamical arrows of time. Applied to hydrodynamics, the proof gives a
first-principle derivation of the phenomenological entropy current condition
and provides a constructive procedure for obtaining the entropy current.
| [
{
"created": "Thu, 22 Dec 2016 17:11:00 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Feb 2017 14:09:30 GMT",
"version": "v2"
}
] | 2017-02-20 | [
[
"Glorioso",
"Paolo",
""
],
[
"Liu",
"Hong",
""
]
] | The second law of thermodynamics states that for a thermally isolated system entropy never decreases. Most physical processes we observe in nature involve variations of macroscopic quantities over spatial and temporal scales much larger than microscopic molecular collision scales and thus can be considered as in local equilibrium. For a many-body system in local equilibrium a stronger version of the second law applies which says that the entropy production at each spacetime point should be non-negative. In this paper we provide a proof of the second law for such systems and a first derivation of the local second law. For this purpose we develop a general non-equilibrium effective field theory of slow degrees of freedom from integrating out fast degrees of freedom in a quantum many-body system and consider its classical limit. The key elements of the proof are the presence of a $Z_2$ symmetry, which can be considered as a proxy for local equilibrium and micro-time-reversibility, and a classical remnant of quantum unitarity. The $Z_2$ symmetry leads to a local current from a procedure analogous to that used in the Noether theorem. Unitarity leads to a definite sign of the divergence of the current. We also discuss the origin of an arrow of time, as well as the coincidence of causal and thermodynamical arrows of time. Applied to hydrodynamics, the proof gives a first-principle derivation of the phenomenological entropy current condition and provides a constructive procedure for obtaining the entropy current. |
0709.0432 | Ta-Sheng Tai | Ta-Sheng Tai | Instanton Counting and Matrix Model | 14 pages; v2: references added and typos fixed | Prog.Theor.Phys.119:165,2008 | 10.1143/PTP.119.165 | UT-07-27 | hep-th | null | We construct an Imbimbo-Mukhi type matrix model, which reproduces exactly the
partition function of ${\mathbb{CP}^1}$ topological strings in the small phase
space, Nekrasov's instanton counting in ${\cal{N}}=2$ gauge theory and the
large $N$ limit of the partition function in 2-dimensional Yang-Mills theory on
a sphere. In addition, we propose a dual Stieltjes-Wigert type matrix model,
which emerges when all-genus topological string amplitudes on certain simple
toric Calabi-Yau manifolds are compared with the Imbimbo-Mukhi type model.
| [
{
"created": "Tue, 4 Sep 2007 17:12:10 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Sep 2007 07:59:47 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Tai",
"Ta-Sheng",
""
]
] | We construct an Imbimbo-Mukhi type matrix model, which reproduces exactly the partition function of ${\mathbb{CP}^1}$ topological strings in the small phase space, Nekrasov's instanton counting in ${\cal{N}}=2$ gauge theory and the large $N$ limit of the partition function in 2-dimensional Yang-Mills theory on a sphere. In addition, we propose a dual Stieltjes-Wigert type matrix model, which emerges when all-genus topological string amplitudes on certain simple toric Calabi-Yau manifolds are compared with the Imbimbo-Mukhi type model. |
hep-th/9912275 | Paolo Di Vecchia | Paolo Di Vecchia and Antonella Liccardo | D branes in string theory, II | 43 pages, Latex | YITP Proceedings Series No.4 (Kyoto, Japan, 1999) | null | Nordita-1999/84 HE | hep-th | null | In these lectures we review the properties of a boosted and rotated boundary
state and of a boundary state with an abelian gauge field deriving from it the
Dirac-Born-Infeld action and a newly constructed class of classical solutions.
We also review the construction of the boundary state for the stable non-BPS
state of type I theory corresponding to the perturbative state present at the
first excited level of the SO(32) heterotic string and transforming according
to the spinor representation of SO(32) (Lectures presented at the YITP Workshop
on ``Developments in Superstring and M-theory'', Kyoto, Japan, October 1999).
| [
{
"created": "Thu, 30 Dec 1999 12:27:14 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Di Vecchia",
"Paolo",
""
],
[
"Liccardo",
"Antonella",
""
]
] | In these lectures we review the properties of a boosted and rotated boundary state and of a boundary state with an abelian gauge field deriving from it the Dirac-Born-Infeld action and a newly constructed class of classical solutions. We also review the construction of the boundary state for the stable non-BPS state of type I theory corresponding to the perturbative state present at the first excited level of the SO(32) heterotic string and transforming according to the spinor representation of SO(32) (Lectures presented at the YITP Workshop on ``Developments in Superstring and M-theory'', Kyoto, Japan, October 1999). |
2210.11484 | Panos Betzios | Panos Betzios and Olga Papadoulaki | Microstates of a $2d$ Black Hole in string theory | 42+36 pages, 8 figures, fixed typos, added references | null | 10.1007/JHEP01(2023)028 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyse models of Matrix Quantum Mechanics in the double scaling limit
that contain non-singlet states. The finite temperature partition function of
such systems contains non-trivial winding modes (vortices) and is expressed in
terms of a group theoretic sum over representations. We then focus in the case
when the first winding mode is dominant (model of Kazakov-Kostov-Kutasov). In
the limit of large representations (continuous Young diagrams), and depending
on the values of the parameters of the model such as the compactification
radius and the string coupling, the dual geometric background corresponds to
that of a long string (winding mode) condensate or a $2d$ (non-supersymmetric)
Black Hole. In the matrix model we can tune these parameters and explore
various phases and regimes. Our construction allows us to identify the origin
of the microstates of these backgrounds, arising from non trivial
representations, and paves the way for computing various observables on them.
| [
{
"created": "Thu, 20 Oct 2022 18:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Oct 2022 13:51:27 GMT",
"version": "v2"
}
] | 2023-02-01 | [
[
"Betzios",
"Panos",
""
],
[
"Papadoulaki",
"Olga",
""
]
] | We analyse models of Matrix Quantum Mechanics in the double scaling limit that contain non-singlet states. The finite temperature partition function of such systems contains non-trivial winding modes (vortices) and is expressed in terms of a group theoretic sum over representations. We then focus in the case when the first winding mode is dominant (model of Kazakov-Kostov-Kutasov). In the limit of large representations (continuous Young diagrams), and depending on the values of the parameters of the model such as the compactification radius and the string coupling, the dual geometric background corresponds to that of a long string (winding mode) condensate or a $2d$ (non-supersymmetric) Black Hole. In the matrix model we can tune these parameters and explore various phases and regimes. Our construction allows us to identify the origin of the microstates of these backgrounds, arising from non trivial representations, and paves the way for computing various observables on them. |
hep-th/9212062 | Jacques Distler | J. Distler | Notes on N=2 $\sigma$-models$ | 23 pages, 2 figures (macros: harvmac.tex + epsf.tex) | null | null | PUPT-1365 | hep-th | null | These lectures, given at the 1992 Trieste Spring School, are devoted to some
selected topics in N=2 \sm s on Calabi-Yau manifolds and the associated N=2
superconformal field theories. The first lecture is devoted to the ``special
geometry" of the moduli space of $c=9$ N=2 superconformal field theories. An
important role is played by the extended chiral algebra which appears in
theories with integer $U(1)$ charges. The second lecture is devoted to the \sm\
approach. The main focus is an explication of a calculation of Aspinwall and
Morrison.
| [
{
"created": "Thu, 10 Dec 1992 06:22:34 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Distler",
"J.",
""
]
] | These lectures, given at the 1992 Trieste Spring School, are devoted to some selected topics in N=2 \sm s on Calabi-Yau manifolds and the associated N=2 superconformal field theories. The first lecture is devoted to the ``special geometry" of the moduli space of $c=9$ N=2 superconformal field theories. An important role is played by the extended chiral algebra which appears in theories with integer $U(1)$ charges. The second lecture is devoted to the \sm\ approach. The main focus is an explication of a calculation of Aspinwall and Morrison. |
1407.6270 | Igor Samsonov | I.B. Samsonov, D. Sorokin | Gauge and matter superfield theories on $S^2$ | 1+44 pages | null | 10.1007/JHEP09(2014)097 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a superfield formulation of gauge and matter field theories on a
two-dimensional sphere with rigid N=(2,2) as well as extended supersymmetry.
The construction is based on a supercoset SU(2|1)/[U(1) x U(1)] containing
$S^2$ as the bosonic subspace. We derive an explicit form of supervielbein and
covariant derivatives on this coset, and use them to construct classical
superfield actions for gauge and matter supermultiplets in this
superbackground. We then apply superfield methods for computing one-loop
partition functions of these theories and demonstrate how the localization
technique works directly in the superspace.
| [
{
"created": "Wed, 23 Jul 2014 15:44:35 GMT",
"version": "v1"
}
] | 2015-06-22 | [
[
"Samsonov",
"I. B.",
""
],
[
"Sorokin",
"D.",
""
]
] | We develop a superfield formulation of gauge and matter field theories on a two-dimensional sphere with rigid N=(2,2) as well as extended supersymmetry. The construction is based on a supercoset SU(2|1)/[U(1) x U(1)] containing $S^2$ as the bosonic subspace. We derive an explicit form of supervielbein and covariant derivatives on this coset, and use them to construct classical superfield actions for gauge and matter supermultiplets in this superbackground. We then apply superfield methods for computing one-loop partition functions of these theories and demonstrate how the localization technique works directly in the superspace. |
hep-th/0406002 | Dan Gorbonos | Dan Gorbonos and Barak Kol | A Dialogue of Multipoles: Matched Asymptotic Expansion for Caged Black
Holes | 47 pages, 12 figures, minor corrections described at the end of the
introduction | JHEP 0406:053,2004 | 10.1088/1126-6708/2004/06/053 | null | hep-th gr-qc | null | No analytic solution is known to date for a black hole in a compact
dimension. We develop an analytic perturbation theory where the small parameter
is the size of the black hole relative to the size of the compact dimension. We
set up a general procedure for an arbitrary order in the perturbation series
based on an asymptotic matched expansion between two coordinate patches: the
near horizon zone and the asymptotic zone. The procedure is ordinary
perturbation expansion in each zone, where additionally some boundary data
comes from the other zone, and so the procedure alternates between the zones.
It can be viewed as a dialogue of multipoles where the black hole changes its
shape (mass multipoles) in response to the field (multipoles) created by its
periodic "mirrors", and that in turn changes its field and so on. We present
the leading correction to the full metric including the first correction to the
area-temperature relation, the leading term for black hole eccentricity and the
"Archimedes effect". The next order corrections will appear in a sequel. On the
way we determine independently the static perturbations of the Schwarzschild
black hole in dimension d>=5, where the system of equations can be reduced to
"a master equation" - a single ordinary differential equation. The solutions
are hypergeometric functions which in some cases reduce to polynomials.
| [
{
"created": "Tue, 1 Jun 2004 10:26:58 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Oct 2004 06:55:37 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Jun 2005 09:56:42 GMT",
"version": "v3"
}
] | 2010-02-03 | [
[
"Gorbonos",
"Dan",
""
],
[
"Kol",
"Barak",
""
]
] | No analytic solution is known to date for a black hole in a compact dimension. We develop an analytic perturbation theory where the small parameter is the size of the black hole relative to the size of the compact dimension. We set up a general procedure for an arbitrary order in the perturbation series based on an asymptotic matched expansion between two coordinate patches: the near horizon zone and the asymptotic zone. The procedure is ordinary perturbation expansion in each zone, where additionally some boundary data comes from the other zone, and so the procedure alternates between the zones. It can be viewed as a dialogue of multipoles where the black hole changes its shape (mass multipoles) in response to the field (multipoles) created by its periodic "mirrors", and that in turn changes its field and so on. We present the leading correction to the full metric including the first correction to the area-temperature relation, the leading term for black hole eccentricity and the "Archimedes effect". The next order corrections will appear in a sequel. On the way we determine independently the static perturbations of the Schwarzschild black hole in dimension d>=5, where the system of equations can be reduced to "a master equation" - a single ordinary differential equation. The solutions are hypergeometric functions which in some cases reduce to polynomials. |
1606.07866 | Peng Liu | Yi Ling, Peng Liu, Jian-Pin Wu, Zhenhua Zhou | Holographic Metal-Insulator Transition in Higher Derivative Gravity | 20 pages, 4 figures; typo corrected, added 3 references; minor
revision | Phys. Lett. B 766 (2017) 41 | 10.1016/j.physletb.2016.12.051 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a Weyl term into the Einstein-Maxwell-Axion theory in four
dimensional spacetime. Up to the first order of the Weyl coupling parameter
$\gamma$, we construct charged black brane solutions without translational
invariance in a perturbative manner. Among all the holographic frameworks
involving higher derivative gravity, we are the first to obtain metal-insulator
transitions (MIT) when varying the system parameters at zero temperature.
Furthermore, we study the holographic entanglement entropy (HEE) of strip
geometry in this model and find that the second order derivative of HEE with
respect to the axion parameter exhibits maximization behavior near quantum
critical points (QCPs) of MIT. It testifies the conjecture in 1502.03661 and
1604.04857 that HEE itself or its derivatives can be used to diagnose quantum
phase transition (QPT).
| [
{
"created": "Sat, 25 Jun 2016 03:17:08 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jul 2016 07:22:54 GMT",
"version": "v2"
},
{
"created": "Thu, 12 Jan 2017 07:51:07 GMT",
"version": "v3"
}
] | 2017-01-16 | [
[
"Ling",
"Yi",
""
],
[
"Liu",
"Peng",
""
],
[
"Wu",
"Jian-Pin",
""
],
[
"Zhou",
"Zhenhua",
""
]
] | We introduce a Weyl term into the Einstein-Maxwell-Axion theory in four dimensional spacetime. Up to the first order of the Weyl coupling parameter $\gamma$, we construct charged black brane solutions without translational invariance in a perturbative manner. Among all the holographic frameworks involving higher derivative gravity, we are the first to obtain metal-insulator transitions (MIT) when varying the system parameters at zero temperature. Furthermore, we study the holographic entanglement entropy (HEE) of strip geometry in this model and find that the second order derivative of HEE with respect to the axion parameter exhibits maximization behavior near quantum critical points (QCPs) of MIT. It testifies the conjecture in 1502.03661 and 1604.04857 that HEE itself or its derivatives can be used to diagnose quantum phase transition (QPT). |
1408.4800 | Junggi Yoon | Robert de Mello Koch, Antal Jevicki, Jo\~ao P. Rodrigues and Junggi
Yoon | Canonical Formulation of $O(N)$ Vector/Higher Spin Correspondence | 24 pages; v2: minor changes, references added, version to be
submitted to J. Phys. A; v3: reference added and typos corrected. Minor
improved. An appendix about algebra of bi-local operators added | null | 10.1088/1751-8113/48/10/105403 | BROWN-HET-1659, WITS-CTP-146 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the canonical structure of the collective formulation of Vector
Model/Higher Spin Duality in AdS$_4$. This involves a construction of bulk AdS
Higher Spin fields through a time-like bi-local Map, with a Hamiltonian and
canonical structure which are established to all orders in $1/N$.
| [
{
"created": "Wed, 20 Aug 2014 20:00:06 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Sep 2014 19:59:38 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Jan 2015 20:59:33 GMT",
"version": "v3"
}
] | 2016-08-10 | [
[
"Koch",
"Robert de Mello",
""
],
[
"Jevicki",
"Antal",
""
],
[
"Rodrigues",
"João P.",
""
],
[
"Yoon",
"Junggi",
""
]
] | We discuss the canonical structure of the collective formulation of Vector Model/Higher Spin Duality in AdS$_4$. This involves a construction of bulk AdS Higher Spin fields through a time-like bi-local Map, with a Hamiltonian and canonical structure which are established to all orders in $1/N$. |
hep-th/0009127 | Hael Collins | Hael Collins and Bob Holdom (University of Toronto) | The Cosmological Constant and Warped Extra Dimensions | 19 pages, uses harvmac and pictex, contains 8 figures | Phys.Rev. D63 (2001) 084020 | 10.1103/PhysRevD.63.084020 | UTPT-00-11 | hep-th hep-ph | null | We study the behavior of a general gravitational action, including quadratic
terms in the curvature, supplemented by a compact scalar field in 4+1
dimensions. The generalized Einstein equation for this system admits solutions
which are compact in one direction and Poincare invariant in the remaining
directions. These solutions do not require any fine-tuning of the parameters in
the action---including the cosmological constant---only that they should
satisfy some mild inequalities. Some of these inequalities can be expressed in
a universal form that does not depend on the number of extra compact dimensions
when the scenario is generalized beyond 4+1 dimensions.
| [
{
"created": "Fri, 15 Sep 2000 17:31:57 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Collins",
"Hael",
"",
"University of Toronto"
],
[
"Holdom",
"Bob",
"",
"University of Toronto"
]
] | We study the behavior of a general gravitational action, including quadratic terms in the curvature, supplemented by a compact scalar field in 4+1 dimensions. The generalized Einstein equation for this system admits solutions which are compact in one direction and Poincare invariant in the remaining directions. These solutions do not require any fine-tuning of the parameters in the action---including the cosmological constant---only that they should satisfy some mild inequalities. Some of these inequalities can be expressed in a universal form that does not depend on the number of extra compact dimensions when the scenario is generalized beyond 4+1 dimensions. |
2401.07908 | \'Alvaro Pastor Guti\'errez | \'Alvaro Pastor-Guti\'errez, Masatoshi Yamada | On the phase structure of extra-dimensional gauge theories with fermions | 14 pages, 8 figures. v2: added references v3: published version | Phys. Rev. D 109 (2024) 7, 076018 | 10.1103/PhysRevD.109.076018 | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We study the phase structure of five-dimensional Yang-Mills theories coupled
to Dirac fermions. In order to tackle their non-perturbative character, we
derive the flow equations for the gauge coupling and the effective potential
for the Aharonov-Bohm phases employing the Functional Renormalisation Group. We
analyse the infrared and ultraviolet fixed-point solutions in the flow of the
gauge coupling as a function of the compactification radius of the fifth
dimension. We discuss various types of trajectories which smoothly connect both
dimensional limits. Last, we investigate the phase diagram and vacuum structure
of the gauge potential for different fermion content.
| [
{
"created": "Mon, 15 Jan 2024 19:00:02 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Jan 2024 13:49:42 GMT",
"version": "v2"
},
{
"created": "Tue, 7 May 2024 08:58:05 GMT",
"version": "v3"
}
] | 2024-05-09 | [
[
"Pastor-Gutiérrez",
"Álvaro",
""
],
[
"Yamada",
"Masatoshi",
""
]
] | We study the phase structure of five-dimensional Yang-Mills theories coupled to Dirac fermions. In order to tackle their non-perturbative character, we derive the flow equations for the gauge coupling and the effective potential for the Aharonov-Bohm phases employing the Functional Renormalisation Group. We analyse the infrared and ultraviolet fixed-point solutions in the flow of the gauge coupling as a function of the compactification radius of the fifth dimension. We discuss various types of trajectories which smoothly connect both dimensional limits. Last, we investigate the phase diagram and vacuum structure of the gauge potential for different fermion content. |
hep-th/9410047 | null | I.A.B.Strachan | The symmetry structure of the anti-self-dual Einstein hierarchy | 13 pages, LaTeX | J.Math.Phys. 36 (1995) 3566-3573 | 10.1063/1.530982 | null | hep-th | null | An important example of a multi-dimensional integrable system is the
anti-self-dual Einstein equations. By studying the symmetries of these
equations, a recursion operator is found and the associated hierarchy
constructed. Owing to the properties of the recursion operator one may
construct a hierarchy of symmetries and find the algebra generated by them. In
addition, the Lax pair for this hierarchy is constructed.
| [
{
"created": "Fri, 7 Oct 1994 13:40:01 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Strachan",
"I. A. B.",
""
]
] | An important example of a multi-dimensional integrable system is the anti-self-dual Einstein equations. By studying the symmetries of these equations, a recursion operator is found and the associated hierarchy constructed. Owing to the properties of the recursion operator one may construct a hierarchy of symmetries and find the algebra generated by them. In addition, the Lax pair for this hierarchy is constructed. |
2407.07259 | Leopoldo A. Pando Zayas | Paolo Amore, Leopoldo A. Pando Zayas, Juan F. Pedraza, Norma Quiroz
and C\'esar A. Terrero-Escalante | Fuzzy Spheres in Stringy Matrix Models: Quantifying Chaos in a Mixed
Phase Space | 34 pages, 3 tables, 21 figures | null | null | LCTP-24-03, IFT-UAM/CSIC-24-102 | hep-th nlin.CD | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a truncation of the BMN matrix model to a configuration of two
fuzzy spheres, described by two coupled non-linear oscillators dependent on the
mass parameter $\mu$. The classical phase diagram of the system generically
($\mu \neq 0$) contains three equilibrium points: two centers and a
center-saddle; as $\mu \to 0$ the system exhibits a pitchfork bifurcation. We
demonstrate that the system is exactly integrable in quadratures for $\mu=0$,
while for very large values of $\mu$, it approaches another integrable point
characterized by two harmonic oscillators. The classical phase space is mixed,
containing both integrable islands and chaotic regions, as evidenced by the
classical Lyapunov spectrum. At the quantum level, we explore indicators of
early and late time chaos. The eigenvalue spacing is best described by a Brody
distribution, which interpolates between Poisson and Wigner distributions; it
dovetails, at the quantum level, the classical results and reemphasizes the
notion that the quantum system is mixed. We also study the spectral form factor
and the quantum Lyapunov exponent, as defined by out-of-time-ordered
correlators. These two indicators of quantum chaos exhibit weak correlations
with the Brody distribution. We speculate that the behavior of the system as
$\mu \to 0$ dominates the spectral form factor and the quantum Lyapunov
exponent, making these indicators of quantum chaos less effective in the
context of a mixed phase space.
| [
{
"created": "Tue, 9 Jul 2024 22:26:50 GMT",
"version": "v1"
}
] | 2024-07-11 | [
[
"Amore",
"Paolo",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
],
[
"Pedraza",
"Juan F.",
""
],
[
"Quiroz",
"Norma",
""
],
[
"Terrero-Escalante",
"César A.",
""
]
] | We consider a truncation of the BMN matrix model to a configuration of two fuzzy spheres, described by two coupled non-linear oscillators dependent on the mass parameter $\mu$. The classical phase diagram of the system generically ($\mu \neq 0$) contains three equilibrium points: two centers and a center-saddle; as $\mu \to 0$ the system exhibits a pitchfork bifurcation. We demonstrate that the system is exactly integrable in quadratures for $\mu=0$, while for very large values of $\mu$, it approaches another integrable point characterized by two harmonic oscillators. The classical phase space is mixed, containing both integrable islands and chaotic regions, as evidenced by the classical Lyapunov spectrum. At the quantum level, we explore indicators of early and late time chaos. The eigenvalue spacing is best described by a Brody distribution, which interpolates between Poisson and Wigner distributions; it dovetails, at the quantum level, the classical results and reemphasizes the notion that the quantum system is mixed. We also study the spectral form factor and the quantum Lyapunov exponent, as defined by out-of-time-ordered correlators. These two indicators of quantum chaos exhibit weak correlations with the Brody distribution. We speculate that the behavior of the system as $\mu \to 0$ dominates the spectral form factor and the quantum Lyapunov exponent, making these indicators of quantum chaos less effective in the context of a mixed phase space. |
hep-th/0003081 | Michael Volkov | Mikhail S. Volkov and Andreas Wipf | Black hole pair creation in de Sitter space: a complete one-loop
analysis | 63 pages, 4 eps figures, references and thanks added, to appear in
Nucl.Phys.B | Nucl.Phys.B582:313-362,2000 | 10.1016/S0550-3213(00)00287-X | FSUJ-TPI 00/03 | hep-th gr-qc | null | We present an exact one-loop calculation of the tunneling process in
Euclidean quantum gravity describing creation of black hole pairs in a de
Sitter universe. Such processes are mediated by $S^2\times S^2$ gravitational
instantons giving an imaginary contribution to the partition function. The
required energy is provided by the expansion of the universe. We utilize the
thermal properties of de Sitter space to describe the process as the decay of a
metastable thermal state. Within the Euclidean path integral approach to
gravity, we explicitly determine the spectra of the fluctuation operators,
exactly calculate the one-loop fluctuation determinants in the $\zeta$-function
regularization scheme, and check the agreement with the expected scaling
behaviour. Our results show a constant volume density of created black holes at
late times, and a very strong suppression of the nucleation rate for small
values of $\Lambda$.
| [
{
"created": "Fri, 10 Mar 2000 16:45:39 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jun 2000 12:53:04 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Volkov",
"Mikhail S.",
""
],
[
"Wipf",
"Andreas",
""
]
] | We present an exact one-loop calculation of the tunneling process in Euclidean quantum gravity describing creation of black hole pairs in a de Sitter universe. Such processes are mediated by $S^2\times S^2$ gravitational instantons giving an imaginary contribution to the partition function. The required energy is provided by the expansion of the universe. We utilize the thermal properties of de Sitter space to describe the process as the decay of a metastable thermal state. Within the Euclidean path integral approach to gravity, we explicitly determine the spectra of the fluctuation operators, exactly calculate the one-loop fluctuation determinants in the $\zeta$-function regularization scheme, and check the agreement with the expected scaling behaviour. Our results show a constant volume density of created black holes at late times, and a very strong suppression of the nucleation rate for small values of $\Lambda$. |
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