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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2204.12066 | Yu Nakayama | Yu Nakayama | New conformal field theories by gauging electric and magnetic currents | 12 pages, v2 some improvement | null | 10.1142/S0217751X22502281 | RUP-22-9 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Old folklore says that there is no non-trivial renormalization group fixed
point with $U(1)$ gauge symmetry in four dimensions, but it can be circumvented
by the existence of magnetic monopoles. We propose to construct (potentially
infinitely many) novel types of field theories with $U(1)$ gauge symmetry by
gauging $U(1) \times U(1)$ global symmetry electrically and magnetically. If
the construction is consistent, the resulting theory will most likely possess a
non-trivial renormalization group fixed point for the $U(1)$ gauge coupling
constant and it will be a non-trivial conformal field theory without the
$U(1)\times U(1)$ global symmetry in the infrared upon tunings of other
relevant deformations. If the construction is CP-violating, a renormalization
of the $\theta$-parameter is accompanied.
| [
{
"created": "Tue, 26 Apr 2022 04:14:19 GMT",
"version": "v1"
},
{
"created": "Sat, 31 Dec 2022 13:02:06 GMT",
"version": "v2"
}
] | 2023-03-15 | [
[
"Nakayama",
"Yu",
""
]
] | Old folklore says that there is no non-trivial renormalization group fixed point with $U(1)$ gauge symmetry in four dimensions, but it can be circumvented by the existence of magnetic monopoles. We propose to construct (potentially infinitely many) novel types of field theories with $U(1)$ gauge symmetry by gauging $U(1) \times U(1)$ global symmetry electrically and magnetically. If the construction is consistent, the resulting theory will most likely possess a non-trivial renormalization group fixed point for the $U(1)$ gauge coupling constant and it will be a non-trivial conformal field theory without the $U(1)\times U(1)$ global symmetry in the infrared upon tunings of other relevant deformations. If the construction is CP-violating, a renormalization of the $\theta$-parameter is accompanied. |
hep-th/0112215 | Hugo Reinhardt | H. Reinhardt | Topology of Center Vortices | 48 pages, 11 figures | Nucl.Phys. B628 (2002) 133-166 | 10.1016/S0550-3213(02)00130-X | null | hep-th | null | The topology of center vortices is studied. For this purpose it is sufficient
to consider mathematically idealised vortices, defined in a gauge invariant way
as closed (infinitely thin) flux surfaces (in D=4 dimensions) which contribute
the n'th power of a non-trivial center element to Wilson loops when they are
n-foldly linked to the latter. In ordinary 3-space generic center vortices
represent closed magnetic flux loops which evolve in time. I show that the
topological charge of such a time-dependent vortex loop can be entirely
expressed by the temporal changes of its writhing number.
| [
{
"created": "Fri, 21 Dec 2001 17:22:12 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Reinhardt",
"H.",
""
]
] | The topology of center vortices is studied. For this purpose it is sufficient to consider mathematically idealised vortices, defined in a gauge invariant way as closed (infinitely thin) flux surfaces (in D=4 dimensions) which contribute the n'th power of a non-trivial center element to Wilson loops when they are n-foldly linked to the latter. In ordinary 3-space generic center vortices represent closed magnetic flux loops which evolve in time. I show that the topological charge of such a time-dependent vortex loop can be entirely expressed by the temporal changes of its writhing number. |
1904.03996 | Anton Galajinsky | Anton Galajinsky | N=2 supersymmetric extensions of relativistic Toda lattice | v2: 10 pages, concluding section extended, two refs. added, the
version to appear in JHEP | null | 10.1007/JHEP06(2019)061 | null | hep-th nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | N=2 supersymmetric extensions of both the periodic and non-periodic
relativistic Toda lattice are built within the framework of the Hamiltonian
formalism. A geodesic description in terms of a non-metric connection is
discussed.
| [
{
"created": "Mon, 8 Apr 2019 12:29:34 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Jun 2019 00:21:54 GMT",
"version": "v2"
}
] | 2019-07-24 | [
[
"Galajinsky",
"Anton",
""
]
] | N=2 supersymmetric extensions of both the periodic and non-periodic relativistic Toda lattice are built within the framework of the Hamiltonian formalism. A geodesic description in terms of a non-metric connection is discussed. |
1702.03949 | Daniele Galloni | Daniele Galloni | Bipartite Graphs, On-Shell Diagrams, and Bipartite Field Theories: a
Computational Package in Mathematica | 49 pages, 8 figures, and the Mathematica files containing the package | null | null | null | hep-th math.AG math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present bipartiteSUSY, a Mathematica package designed to perform
calculations for physical theories based on bipartite graphs. In particular,
the package can employ the recently developed arsenal of techniques surrounding
on-shell diagrams in N=4 SYM scattering amplitudes, including those for
non-planar diagrams, with particular attention to computational speed. It also
contains a host of tools for computations in N=1 Bipartite Field Theories,
which utilize the same bipartite graphs. Through the use of an interactive
graphical tool, it is possible to draw the desired diagrams on the screen and
compute commonly sought-after features. The package should be easily accessible
to users with little or no previous experience in dealing with bipartite graphs
and their combinatorial descriptions.
| [
{
"created": "Mon, 13 Feb 2017 19:04:31 GMT",
"version": "v1"
}
] | 2017-02-15 | [
[
"Galloni",
"Daniele",
""
]
] | We present bipartiteSUSY, a Mathematica package designed to perform calculations for physical theories based on bipartite graphs. In particular, the package can employ the recently developed arsenal of techniques surrounding on-shell diagrams in N=4 SYM scattering amplitudes, including those for non-planar diagrams, with particular attention to computational speed. It also contains a host of tools for computations in N=1 Bipartite Field Theories, which utilize the same bipartite graphs. Through the use of an interactive graphical tool, it is possible to draw the desired diagrams on the screen and compute commonly sought-after features. The package should be easily accessible to users with little or no previous experience in dealing with bipartite graphs and their combinatorial descriptions. |
1301.7238 | Alexander Kahle | Alexander Kahle and Ruben Minasian | D-brane couplings and Generalised Geometry | null | null | null | null | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The goal of this paper is to re-examine D-brane Ramond-Ramond field couplings
in the presence of a B-field. We will argue that the generalised geometry
induced on the world volume by the B-field results in an important but subtle
change on the coupling. In order to explain this, we use the language of
differential K-theory. The expression determining the coupling is then seen to
be a consequence of the Riemann-Roch theorem. Our key assertion is that the
appropriate Riemann-Roch theorem changes in the presence of the B-field. In
particular, the A-hat forms appearing in the theorem are now constructed using
the torsionful Levi-Civita connection associated to the generalised geometry.
As we shall see, the resulting expression not only agrees with recently
discovered local couplings on the D-brane worldvolume involving RR fields and
derivatives of the B-field, but also makes the coupling manifestly T-duality
invariant.
| [
{
"created": "Wed, 30 Jan 2013 14:25:40 GMT",
"version": "v1"
}
] | 2013-01-31 | [
[
"Kahle",
"Alexander",
""
],
[
"Minasian",
"Ruben",
""
]
] | The goal of this paper is to re-examine D-brane Ramond-Ramond field couplings in the presence of a B-field. We will argue that the generalised geometry induced on the world volume by the B-field results in an important but subtle change on the coupling. In order to explain this, we use the language of differential K-theory. The expression determining the coupling is then seen to be a consequence of the Riemann-Roch theorem. Our key assertion is that the appropriate Riemann-Roch theorem changes in the presence of the B-field. In particular, the A-hat forms appearing in the theorem are now constructed using the torsionful Levi-Civita connection associated to the generalised geometry. As we shall see, the resulting expression not only agrees with recently discovered local couplings on the D-brane worldvolume involving RR fields and derivatives of the B-field, but also makes the coupling manifestly T-duality invariant. |
1208.6221 | Sameer Murthy | Rajesh Kumar Gupta and Sameer Murthy | All solutions of the localization equations for N=2 quantum black hole
entropy | 27 pages | null | 10.1007/JHEP02(2013)141 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find the most general bosonic solution to the localization equations
describing the contributions to the quantum entropy of supersymmetric black
holes in four-dimensional N=2 supergravity coupled to n_v vector multiplets.
This requires the analysis of the BPS equations of the corresponding off-shell
supergravity (including fluctuations of the auxiliary fields) with AdS2 \times
S2 attractor boundary conditions. Our work completes and extends the results of
arXiv:1012.0265 that were obtained for the vector multiplet sector, to include
the fluctuations of all the fields of the off-shell supergravity. We find that,
when the auxiliary SU(2) gauge field strength vanishes, the most general
supersymmetric configuration preserving four supercharges is labelled by n_v+1
real parameters corresponding to the excitations of the conformal mode of the
graviton and the scalars of the n_v vector multiplets. In the general case, the
localization manifold is labelled by an additional SU(2) triplet of one-forms
and a scalar function.
| [
{
"created": "Thu, 30 Aug 2012 16:12:44 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Gupta",
"Rajesh Kumar",
""
],
[
"Murthy",
"Sameer",
""
]
] | We find the most general bosonic solution to the localization equations describing the contributions to the quantum entropy of supersymmetric black holes in four-dimensional N=2 supergravity coupled to n_v vector multiplets. This requires the analysis of the BPS equations of the corresponding off-shell supergravity (including fluctuations of the auxiliary fields) with AdS2 \times S2 attractor boundary conditions. Our work completes and extends the results of arXiv:1012.0265 that were obtained for the vector multiplet sector, to include the fluctuations of all the fields of the off-shell supergravity. We find that, when the auxiliary SU(2) gauge field strength vanishes, the most general supersymmetric configuration preserving four supercharges is labelled by n_v+1 real parameters corresponding to the excitations of the conformal mode of the graviton and the scalars of the n_v vector multiplets. In the general case, the localization manifold is labelled by an additional SU(2) triplet of one-forms and a scalar function. |
1002.4028 | Angelo Raffaele Fazio | A.R. Fazio | The pomeron in closed bosonic string theory | 13 pages | null | 10.1063/1.3536580 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the features of the pomeron in the S-matrix theory and in quantum
field theory. We extend those general properties to the pomeron of closed
bosonic string theory in a Minkowskian background. We compute the couplings of
the pomeron to the lowest mass levels of closed bosonic string states in flat
space. We recognize the deviation from the linearity of the Regge trajectories
in a five dimensional anti De Sitter background.
| [
{
"created": "Mon, 22 Feb 2010 00:17:53 GMT",
"version": "v1"
}
] | 2015-05-18 | [
[
"Fazio",
"A. R.",
""
]
] | We review the features of the pomeron in the S-matrix theory and in quantum field theory. We extend those general properties to the pomeron of closed bosonic string theory in a Minkowskian background. We compute the couplings of the pomeron to the lowest mass levels of closed bosonic string states in flat space. We recognize the deviation from the linearity of the Regge trajectories in a five dimensional anti De Sitter background. |
1611.03903 | Alexander Andrianov A | A. A. Andrianov, S. S. Kolevatov and R. Soldati | Parity Breaking Medium and Squeeze Operators | 22 pages, slightly modified, arXiv admin note: text overlap with
arXiv:1109.3440 | Phys. Rev. D 95, 076020 (2017) | 10.1103/PhysRevD.95.076020 | null | hep-th astro-ph.HE hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The transition between a Minkowski space region and a parity breaking medium
domain is thoroughly discussed. The requirement of continuity of the field
operator content across the separating boundary of the two domains leads to
Bogolyubov transformations, squeezed pairs states and squeeze operators that
turn out to generate a functional SU(2) algebra. According to this algebraic
approach, the reflection and transmission probability amplitude across the
separating boundary are computed. The probability rate of the emission or
absorption of squeezed pairs out of the vacuum (generalization of the
Sauter-Schwinger-Nikishov formula) is obtained.
| [
{
"created": "Fri, 11 Nov 2016 22:33:59 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Feb 2017 14:32:44 GMT",
"version": "v2"
}
] | 2017-05-03 | [
[
"Andrianov",
"A. A.",
""
],
[
"Kolevatov",
"S. S.",
""
],
[
"Soldati",
"R.",
""
]
] | The transition between a Minkowski space region and a parity breaking medium domain is thoroughly discussed. The requirement of continuity of the field operator content across the separating boundary of the two domains leads to Bogolyubov transformations, squeezed pairs states and squeeze operators that turn out to generate a functional SU(2) algebra. According to this algebraic approach, the reflection and transmission probability amplitude across the separating boundary are computed. The probability rate of the emission or absorption of squeezed pairs out of the vacuum (generalization of the Sauter-Schwinger-Nikishov formula) is obtained. |
1107.0515 | Miao Rongxin | Rong-Xin Miao, Miao Li and Yan-Gang Miao | Violation of the first law of black hole thermodynamics in $f(T)$
gravity | 18 pages, no figure, version accepted for publication in JCAP | JCAP11(2011)033 | 10.1088/1475-7516/2011/11/033 | USTC-ICTS-11-08 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove that, in general, the first law of black hole thermodynamics,
$\delta Q=T\delta S$, is violated in $f(T)$ gravity. As a result, it is
possible that there exists entropy production, which implies that the black
hole thermodynamics can be in non-equilibrium even in the static spacetime.
This feature is very different from that of $f(R)$ or that of other higher
derivative gravity theories. We find that the violation of first law results
from the lack of local Lorentz invariance in $f(T)$ gravity. By investigating
two examples, we note that $f"(0)$ should be negative in order to avoid the
naked singularities and superluminal motion of light. When $f"(T)$ is small,
the entropy of black holes in $f(T)$ gravity is approximatively equal to
$\frac{f'(T)}{4}A$.
| [
{
"created": "Mon, 4 Jul 2011 02:21:31 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Nov 2011 05:26:54 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Nov 2011 15:55:18 GMT",
"version": "v3"
}
] | 2015-05-28 | [
[
"Miao",
"Rong-Xin",
""
],
[
"Li",
"Miao",
""
],
[
"Miao",
"Yan-Gang",
""
]
] | We prove that, in general, the first law of black hole thermodynamics, $\delta Q=T\delta S$, is violated in $f(T)$ gravity. As a result, it is possible that there exists entropy production, which implies that the black hole thermodynamics can be in non-equilibrium even in the static spacetime. This feature is very different from that of $f(R)$ or that of other higher derivative gravity theories. We find that the violation of first law results from the lack of local Lorentz invariance in $f(T)$ gravity. By investigating two examples, we note that $f"(0)$ should be negative in order to avoid the naked singularities and superluminal motion of light. When $f"(T)$ is small, the entropy of black holes in $f(T)$ gravity is approximatively equal to $\frac{f'(T)}{4}A$. |
hep-th/9805158 | Karl Landsteiner | Karl Landsteiner, Esperanza Lopez, David A. Lowe | Supersymmetric Gauge Theories from Branes and Orientifold Six-planes | 30 pages (harvmac b-mode), 5 figures, (v2 minor corrections), (v3
sign error corrected) | JHEP 9807:011,1998 | 10.1088/1126-6708/1998/07/011 | BROWN-HET-1125, TUW-98-10 | hep-th | null | We study brane configurations in the presence of orientifold six-planes.
After deriving the curves for N=2 supersymmetric SU(Nc) gauge theories with one
flavor in the symmetric or antisymmetric representation and Nf fundamental
flavors, we rotate the brane configuration, reducing the supersymmetry to N=1.
For the case of an antisymmetric flavor and less than two fundamental flavors,
nonperturbative effects lead to a brane configuration that is topologically a
torus. Using the description of the orientifold six-planes as Dn singularities
we discuss the Higgs branches for N=2 brane configurations with Sp/SO gauge
groups and the related N=1 theories with tensor representations.
| [
{
"created": "Mon, 25 May 1998 09:40:25 GMT",
"version": "v1"
},
{
"created": "Fri, 29 May 1998 17:56:36 GMT",
"version": "v2"
},
{
"created": "Sun, 5 Jul 1998 18:05:31 GMT",
"version": "v3"
}
] | 2010-02-03 | [
[
"Landsteiner",
"Karl",
""
],
[
"Lopez",
"Esperanza",
""
],
[
"Lowe",
"David A.",
""
]
] | We study brane configurations in the presence of orientifold six-planes. After deriving the curves for N=2 supersymmetric SU(Nc) gauge theories with one flavor in the symmetric or antisymmetric representation and Nf fundamental flavors, we rotate the brane configuration, reducing the supersymmetry to N=1. For the case of an antisymmetric flavor and less than two fundamental flavors, nonperturbative effects lead to a brane configuration that is topologically a torus. Using the description of the orientifold six-planes as Dn singularities we discuss the Higgs branches for N=2 brane configurations with Sp/SO gauge groups and the related N=1 theories with tensor representations. |
hep-th/0506124 | Federico Piazza | Federico Piazza | Glimmers of a pre-geometric perspective | 30 pages | Found. Phys. 40:239-266 , 2010 | 10.1007/s10701-009-9387-5 | null | hep-th gr-qc quant-ph | null | Space-time measurements and gravitational experiments are made by using
objects, matter fields or particles and their mutual relationships. As a
consequence, any operationally meaningful assertion about space-time is in fact
an assertion about the degrees of freedom of the matter (\emph{i.e} non
gravitational) fields; those, say for definiteness, of the Standard Model of
particle physics. As for any quantum theory, the dynamics of the matter fields
can be described in terms of a unitary evolution of a state vector in a Hilbert
space. By writing the Hilbert space as a generic tensor product of "subsystems"
we analyse the evolution of a state vector on an information theoretical basis
and attempt to recover the usual space-time relations from the information
exchanges between these subsystems. We consider generic interacting second
quantized models with a finite number of fermionic degrees of freedom and
characterize on physical grounds the tensor product structure associated with
the class of "localized systems" and therefore with "position". We find that in
the case of free theories no space-time relation is operationally definable. On
the contrary, by applying the same procedure to the simple interacting model of
a one-dimensional Heisenberg spin chain we recover the tensor product structure
usually associated with "position". Finally, we discuss the possible role of
gravity in this framework.
| [
{
"created": "Wed, 15 Jun 2005 18:28:16 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Nov 2007 01:11:59 GMT",
"version": "v2"
}
] | 2010-02-25 | [
[
"Piazza",
"Federico",
""
]
] | Space-time measurements and gravitational experiments are made by using objects, matter fields or particles and their mutual relationships. As a consequence, any operationally meaningful assertion about space-time is in fact an assertion about the degrees of freedom of the matter (\emph{i.e} non gravitational) fields; those, say for definiteness, of the Standard Model of particle physics. As for any quantum theory, the dynamics of the matter fields can be described in terms of a unitary evolution of a state vector in a Hilbert space. By writing the Hilbert space as a generic tensor product of "subsystems" we analyse the evolution of a state vector on an information theoretical basis and attempt to recover the usual space-time relations from the information exchanges between these subsystems. We consider generic interacting second quantized models with a finite number of fermionic degrees of freedom and characterize on physical grounds the tensor product structure associated with the class of "localized systems" and therefore with "position". We find that in the case of free theories no space-time relation is operationally definable. On the contrary, by applying the same procedure to the simple interacting model of a one-dimensional Heisenberg spin chain we recover the tensor product structure usually associated with "position". Finally, we discuss the possible role of gravity in this framework. |
2212.06747 | Edwan Pr\'eau | M. J\"arvinen, E. Kiritsis, F. Nitti and E. Pr\'eau | The V-QCD baryon : numerical solution and baryon spectrum | 46 pages + Appendix, 13 figures | Journal of High Energy Physics volume 2023, Article number: 81
(2023) | 10.1007/JHEP05(2023)081 | APCTP Pre2022 - 027, CCTP-2022-8, ITCP-2022/8 | hep-th hep-lat hep-ph nucl-th | http://creativecommons.org/licenses/by/4.0/ | The single baryon solution of V-QCD is numerically computed. The spectrum of
spin and isospin modes is also computed by quantizing the light fluctuations
around the baryon. It is shown that there is a partial restoration of chiral
symmetry at the baryon center.
| [
{
"created": "Tue, 13 Dec 2022 17:28:37 GMT",
"version": "v1"
},
{
"created": "Thu, 18 May 2023 12:05:31 GMT",
"version": "v2"
}
] | 2023-05-19 | [
[
"Järvinen",
"M.",
""
],
[
"Kiritsis",
"E.",
""
],
[
"Nitti",
"F.",
""
],
[
"Préau",
"E.",
""
]
] | The single baryon solution of V-QCD is numerically computed. The spectrum of spin and isospin modes is also computed by quantizing the light fluctuations around the baryon. It is shown that there is a partial restoration of chiral symmetry at the baryon center. |
hep-th/0009211 | Joe Polchinski | Mariana Gra\~na and Joseph Polchinski | Supersymmetric Three-Form Flux Perturbations on $AdS_5$ | 19 pages. reference added, minor clarifications. v3: reference to
non-Abelian BPS monopole solution corrected (Chamseddine-Volkov) | Phys.Rev.D63:026001,2001 | 10.1103/PhysRevD.63.026001 | NSF-ITP-00-111 | hep-th | null | We consider warped type IIB supergravity solutions with three-form flux and
${\cal N}=1$ supersymmetry, which arise as the supergravity duals of confining
gauge theories. We first work in a perturbation expansion around $AdS_5 \times
S^5$, as in the work of Polchinski and Strassler, and from the ${\cal N}=1$
conditions and the Bianchi identities recover their first-order solution
generalized to an arbitrary ${\cal N}=1$ superpotential. We find the second
order dilaton and axion by the same means. We also find a simple family of
exact solutions, which can be obtained from solutions found by Becker and
Becker, and which includes the recent Klebanov--Strassler solution.
| [
{
"created": "Tue, 26 Sep 2000 22:41:28 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Sep 2000 22:23:57 GMT",
"version": "v2"
},
{
"created": "Mon, 18 Jun 2007 14:36:46 GMT",
"version": "v3"
}
] | 2009-10-09 | [
[
"Graña",
"Mariana",
""
],
[
"Polchinski",
"Joseph",
""
]
] | We consider warped type IIB supergravity solutions with three-form flux and ${\cal N}=1$ supersymmetry, which arise as the supergravity duals of confining gauge theories. We first work in a perturbation expansion around $AdS_5 \times S^5$, as in the work of Polchinski and Strassler, and from the ${\cal N}=1$ conditions and the Bianchi identities recover their first-order solution generalized to an arbitrary ${\cal N}=1$ superpotential. We find the second order dilaton and axion by the same means. We also find a simple family of exact solutions, which can be obtained from solutions found by Becker and Becker, and which includes the recent Klebanov--Strassler solution. |
hep-th/9801081 | G. Lopes Cardoso | Klaus Behrndt, Gabriel Lopes Cardoso, Bernard de Wit, Dieter L\"ust,
Thomas Mohaupt and Wafic A. Sabra | Higher-Order Black-Hole Solutions in N=2 Supergravity and Calabi-Yau
String Backgrounds | 12 pages, LaTeX; reference added; minor changes, note added, version
to appear in Phys. Lett. B | Phys.Lett.B429:289-296,1998 | 10.1016/S0370-2693(98)00413-4 | HUB-EP-98/4, THU-98/02, QMW-PH-98-01 | hep-th | null | Based on special geometry, we consider corrections to N=2 extremal black-hole
solutions and their entropies originating from higher-order derivative terms in
N=2 supergravity. These corrections are described by a holomorphic function,
and the higher-order black-hole solutions can be expressed in terms of
symplectic Sp(2$n$+2) vectors. We apply the formalism to N=2 type-IIA
Calabi-Yau string compactifications and compare our results to recent related
results in the literature.
| [
{
"created": "Tue, 13 Jan 1998 13:42:58 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Jan 1998 12:14:54 GMT",
"version": "v2"
},
{
"created": "Tue, 12 May 1998 09:50:00 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Behrndt",
"Klaus",
""
],
[
"Cardoso",
"Gabriel Lopes",
""
],
[
"de Wit",
"Bernard",
""
],
[
"Lüst",
"Dieter",
""
],
[
"Mohaupt",
"Thomas",
""
],
[
"Sabra",
"Wafic A.",
""
]
] | Based on special geometry, we consider corrections to N=2 extremal black-hole solutions and their entropies originating from higher-order derivative terms in N=2 supergravity. These corrections are described by a holomorphic function, and the higher-order black-hole solutions can be expressed in terms of symplectic Sp(2$n$+2) vectors. We apply the formalism to N=2 type-IIA Calabi-Yau string compactifications and compare our results to recent related results in the literature. |
2005.14077 | Daniel Burger | Daniel J Burger, Nathan Moynihan and Jeff Murugan | On-Shell Perspectives on the Massless Limit of Massive Supergravity | null | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Massive gravity exhibits a famous discontinuity in its 2-point linearized
amplitude for t-channel scattering of gravitational sources, in the $m \to 0$
limit. In essence, the source of this vDVZ discontinuity is in the failure of
the zero-helicity mode to decouple in this limit. In [1], we showed how this
result could be understood in the context of modern on-shell methods and, in
particular, the BCFW construction. In this article, we provide a similar
on-shell perspective to the equally interesting but lesser known discontinuity
first discovered by Deser, Kay and Stelle in massive supergravity.
| [
{
"created": "Thu, 28 May 2020 15:18:30 GMT",
"version": "v1"
}
] | 2020-05-29 | [
[
"Burger",
"Daniel J",
""
],
[
"Moynihan",
"Nathan",
""
],
[
"Murugan",
"Jeff",
""
]
] | Massive gravity exhibits a famous discontinuity in its 2-point linearized amplitude for t-channel scattering of gravitational sources, in the $m \to 0$ limit. In essence, the source of this vDVZ discontinuity is in the failure of the zero-helicity mode to decouple in this limit. In [1], we showed how this result could be understood in the context of modern on-shell methods and, in particular, the BCFW construction. In this article, we provide a similar on-shell perspective to the equally interesting but lesser known discontinuity first discovered by Deser, Kay and Stelle in massive supergravity. |
hep-th/0405128 | Hiroyuki Fuji | Hiroyuki Fuji and Shun'ya Mizoguchi | Gravitational Corrections for Supersymmetric Gauge Theories with Flavors
via Matrix Models | 47 pages, 9 figures; Sign errors corrected. Figure 5 replaced.
References added | Nucl.Phys. B698 (2004) 53-91 | 10.1016/j.nuclphysb.2004.07.039 | KEK-TH-954 | hep-th | null | We study the gravitational corrections to the F-term in four-dimensional N=1
U(N) gauge theories with flavors, using the Dijkgraaf-Vafa theory. We derive a
compact formula for the annulus contribution in terms of the prime form on the
matrix model curve. Remarkably, the full R^2 correction can be reproduced as a
special momentum sector of a single c=1 CFT correlator, which closely resembles
that in the bosonization of fermions on Riemann surfaces. The N=2 limit of the
torus contribution agrees with the multi-instanton calculations as well as the
topological A-model result. The planar contributions, on the other hand, have
no counterpart in the topological gauge theories, and we speculate about the
origin of these terms.
| [
{
"created": "Fri, 14 May 2004 04:24:39 GMT",
"version": "v1"
},
{
"created": "Fri, 28 May 2004 02:36:37 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Fuji",
"Hiroyuki",
""
],
[
"Mizoguchi",
"Shun'ya",
""
]
] | We study the gravitational corrections to the F-term in four-dimensional N=1 U(N) gauge theories with flavors, using the Dijkgraaf-Vafa theory. We derive a compact formula for the annulus contribution in terms of the prime form on the matrix model curve. Remarkably, the full R^2 correction can be reproduced as a special momentum sector of a single c=1 CFT correlator, which closely resembles that in the bosonization of fermions on Riemann surfaces. The N=2 limit of the torus contribution agrees with the multi-instanton calculations as well as the topological A-model result. The planar contributions, on the other hand, have no counterpart in the topological gauge theories, and we speculate about the origin of these terms. |
1402.6802 | Mir Faizal | Mir Faizal, Tsou Sheung Tsun | Polyakov Loops for the ABJ Theory | 16 pages, 0 figures | Int. J. Theor. Phys. 54: 896, 2015 | 10.1007/s10773-014-2285-4 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we will first construct Polyakov loops for the ABJ theory. Then
we will construct the connection and curvature in this loop space. We will also
analyse certain generalization of Polyakov loops and apply them to the ABJ
theory. Finally, we will use this formalism for analysing topological defects
like monopoles in the ABJ theory.
| [
{
"created": "Thu, 27 Feb 2014 06:41:53 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Faizal",
"Mir",
""
],
[
"Tsun",
"Tsou Sheung",
""
]
] | In this paper we will first construct Polyakov loops for the ABJ theory. Then we will construct the connection and curvature in this loop space. We will also analyse certain generalization of Polyakov loops and apply them to the ABJ theory. Finally, we will use this formalism for analysing topological defects like monopoles in the ABJ theory. |
hep-th/9409110 | null | Paul Aspinwall and Brian Greene | On the Geometric Interpretation of N = 2 Superconformal Theories | 25 pages, note added | Nucl.Phys. B437 (1995) 205-230 | 10.1016/0550-3213(94)00571-U | CLNS-94/1299 | hep-th | null | We clarify certain important issues relevant for the geometric interpretation
of a large class of N = 2 superconformal theories. By fully exploiting the
phase structure of these theories (discovered in earlier works) we are able to
clearly identify their geometric content. One application is to present a
simple and natural resolution to the question of what constitutes the mirror of
a rigid Calabi-Yau manifold. We also discuss some other models with unusual
phase diagrams that highlight some subtle features regarding the geometric
content of conformal theories.
| [
{
"created": "Mon, 19 Sep 1994 19:45:29 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Sep 1994 15:50:12 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Dec 1994 20:34:00 GMT",
"version": "v3"
}
] | 2009-10-28 | [
[
"Aspinwall",
"Paul",
""
],
[
"Greene",
"Brian",
""
]
] | We clarify certain important issues relevant for the geometric interpretation of a large class of N = 2 superconformal theories. By fully exploiting the phase structure of these theories (discovered in earlier works) we are able to clearly identify their geometric content. One application is to present a simple and natural resolution to the question of what constitutes the mirror of a rigid Calabi-Yau manifold. We also discuss some other models with unusual phase diagrams that highlight some subtle features regarding the geometric content of conformal theories. |
1906.11763 | Riccardo Gonzo | Riccardo Gonzo, Tristan McLoughlin, Diego Medrano, Anne Spiering | Asymptotic Charges and Coherent States in QCD | 28 pages, 11 figures; v4:matches published version | Phys. Rev. D 104, 025019 (2021) | 10.1103/PhysRevD.104.025019 | TCD MATH 19-09, SAGEX-19-14 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the connection between asymptotic symmetries in non-Abelian gauge
theories and the generalised coherent states following from the application to
QCD of the Faddeev-Kulish approach to asymptotic dynamics. We compute the large
gauge transformation properties of the soft evolution operators and use this to
define the quantum corrected, non-linear contribution to the asymptotic
charges. We then compute the one-loop, leading IR-divergent, correction to
matrix elements of the charges inserted between dressed scattering states and
show that the results depend on a particular order of soft limits. For one
choice of ordering we find that the conservation law for the asymptotic charges
is not corrected, while for a second we find a correction proportional to the
one-loop soft current.
| [
{
"created": "Thu, 27 Jun 2019 16:08:44 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jul 2019 17:49:54 GMT",
"version": "v2"
},
{
"created": "Wed, 23 Jun 2021 13:25:38 GMT",
"version": "v3"
},
{
"created": "Sun, 26 Sep 2021 18:27:06 GMT",
"version": "v4"
}
] | 2021-09-28 | [
[
"Gonzo",
"Riccardo",
""
],
[
"McLoughlin",
"Tristan",
""
],
[
"Medrano",
"Diego",
""
],
[
"Spiering",
"Anne",
""
]
] | We study the connection between asymptotic symmetries in non-Abelian gauge theories and the generalised coherent states following from the application to QCD of the Faddeev-Kulish approach to asymptotic dynamics. We compute the large gauge transformation properties of the soft evolution operators and use this to define the quantum corrected, non-linear contribution to the asymptotic charges. We then compute the one-loop, leading IR-divergent, correction to matrix elements of the charges inserted between dressed scattering states and show that the results depend on a particular order of soft limits. For one choice of ordering we find that the conservation law for the asymptotic charges is not corrected, while for a second we find a correction proportional to the one-loop soft current. |
2203.12052 | Daniel Friedan | Daniel Friedan | Thermodynamic stability of a cosmological SU(2)-weak gauge field | 32 pages. Calculations are shown in ancillary files. v2 Insert
permanent arXiv.org identifier for 2 cross references | null | null | null | hep-th astro-ph.CO hep-ph | http://creativecommons.org/licenses/by-nc-sa/4.0/ | The CGF cosmology is a complete theory of cosmology from the electroweak
transition onward. It is semi-classical. At leading order the only matter is
dark matter -- a cosmological SU(2)-weak gauge field (the CGF). Ordinary matter
is a subleading correction from fluctuations around the classical state. The
CGF is periodic in imaginary time. It acts as thermal bath for the fluctuations
of the Standard Model fields. Here, the initial thermal state of the SU(2)
gauge field fluctuations is constructed and shown to be thermodynamically
stable. This is a warm-up for (1) constructing the initial thermal state of all
the fluctuations in order to calculate its time evolution and (2) showing that
initial state to be thermodynamically stable in order to show that the CGF
cosmology is physically natural.
| [
{
"created": "Tue, 22 Mar 2022 21:24:00 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Mar 2022 00:41:10 GMT",
"version": "v2"
}
] | 2022-03-25 | [
[
"Friedan",
"Daniel",
""
]
] | The CGF cosmology is a complete theory of cosmology from the electroweak transition onward. It is semi-classical. At leading order the only matter is dark matter -- a cosmological SU(2)-weak gauge field (the CGF). Ordinary matter is a subleading correction from fluctuations around the classical state. The CGF is periodic in imaginary time. It acts as thermal bath for the fluctuations of the Standard Model fields. Here, the initial thermal state of the SU(2) gauge field fluctuations is constructed and shown to be thermodynamically stable. This is a warm-up for (1) constructing the initial thermal state of all the fluctuations in order to calculate its time evolution and (2) showing that initial state to be thermodynamically stable in order to show that the CGF cosmology is physically natural. |
hep-th/0509232 | Patrick Peter | Patrick Peter, Emanuel Pinho and Nelson Pinto-Neto | Tensor Perturbations in Quantum Cosmological Backgrounds | 24 pages, JHEP format | JCAP 0507 (2005) 014 | 10.1088/1475-7516/2005/07/014 | null | hep-th astro-ph gr-qc hep-ph | null | In the description of the dynamics of tensor perturbations on a homogeneous
and isotropic background cosmological model, it is well known that a simple
Hamiltonian can be obtained if one assumes that the background metric satisfies
Einstein classical field equations. This makes it possible to analyze the
quantum evolution of the perturbations since their dynamics depends only on
this classical background. In this paper, we show that this simple Hamiltonian
can also be obtained from the Einstein-Hilbert lagrangian without making use of
any assumption about the dynamics of the background metric. In particular, it
can be used in situations where the background metric is also quantized, hence
providing a substantial simplification over the direct approach originally
developed by Halliwell and Hawking.
| [
{
"created": "Fri, 30 Sep 2005 12:40:16 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Peter",
"Patrick",
""
],
[
"Pinho",
"Emanuel",
""
],
[
"Pinto-Neto",
"Nelson",
""
]
] | In the description of the dynamics of tensor perturbations on a homogeneous and isotropic background cosmological model, it is well known that a simple Hamiltonian can be obtained if one assumes that the background metric satisfies Einstein classical field equations. This makes it possible to analyze the quantum evolution of the perturbations since their dynamics depends only on this classical background. In this paper, we show that this simple Hamiltonian can also be obtained from the Einstein-Hilbert lagrangian without making use of any assumption about the dynamics of the background metric. In particular, it can be used in situations where the background metric is also quantized, hence providing a substantial simplification over the direct approach originally developed by Halliwell and Hawking. |
2003.11160 | Ali Eghbali | Ali Eghbali | Cosmological string backgrounds from super Poisson-Lie T-plurality | 25 pages | Nuclear Physics B 958 (2020) 115110 | 10.1016/j.nuclphysb.2020.115110 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We generalize the formulation of Poisson-Lie (PL) T-plurality proposed by R.
von Unge [JHEP 07 (2002) 014] from Lie groups to Lie supergroups. By taking a
convenient ansatz for metric of the $\sigma$-model in terms of the
left-invariant one-forms of the isometry Lie supergroups $(C^3 +A)$ and
$GL(1|1)$ we construct cosmological string backgrounds, including
$(2+1|2)$-dimensional metric, time-dependent dilaton and vanishing torsion, in
a way that they satisfy the one-loop beta-function equations. Starting from the
decompositions of semi-Abelian Drinfeld superdoubles (DSDs) generated by the
$({\C}^3 +{\A})$ and $gl(1|1)$ Lie super bi-algebras we find the conformal
duality/plurality chains of $2+1$-dimensional cosmological string backgrounds
coupling with two fermionic fields. In particular, the new backgrounds obtained
by the super PL T-plurality remain conformally invariant at one-loop level.
This work can prompt many new insights into supergravity and obviously has
interesting mathematical relations with double field theory.
| [
{
"created": "Wed, 25 Mar 2020 00:20:11 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Jul 2020 13:28:36 GMT",
"version": "v2"
}
] | 2020-07-20 | [
[
"Eghbali",
"Ali",
""
]
] | We generalize the formulation of Poisson-Lie (PL) T-plurality proposed by R. von Unge [JHEP 07 (2002) 014] from Lie groups to Lie supergroups. By taking a convenient ansatz for metric of the $\sigma$-model in terms of the left-invariant one-forms of the isometry Lie supergroups $(C^3 +A)$ and $GL(1|1)$ we construct cosmological string backgrounds, including $(2+1|2)$-dimensional metric, time-dependent dilaton and vanishing torsion, in a way that they satisfy the one-loop beta-function equations. Starting from the decompositions of semi-Abelian Drinfeld superdoubles (DSDs) generated by the $({\C}^3 +{\A})$ and $gl(1|1)$ Lie super bi-algebras we find the conformal duality/plurality chains of $2+1$-dimensional cosmological string backgrounds coupling with two fermionic fields. In particular, the new backgrounds obtained by the super PL T-plurality remain conformally invariant at one-loop level. This work can prompt many new insights into supergravity and obviously has interesting mathematical relations with double field theory. |
hep-th/0601009 | Anton Zabrodin | A.Zabrodin and P. Wiegmann | Large N expansion for the 2D Dyson gas | 37 pages, 1 figure | J.Phys.A39:8933-8964,2006 | 10.1088/0305-4470/39/28/S10 | ITEP-TH-112/05 | hep-th | null | We discuss the 1/N expansion of the free energy of N logarithmically
interacting charges in the plane in an external field. For some particular
values of the inverse temperature beta this system is equivalent to the
eigenvalue version of certain random matrix models, where it is refered to as
the "Dyson gas" of eigenvalues. To find the free energy at large N and the
structure of 1/N-corrections, we first use the effective action approach and
then confirm the results by solving the loop equation. The results obtained
give some new representations of the mathematical objects related to the
Dirichlet boundary value problem, complex analysis and spectral geometry of
exterior domains. They also suggest interesting links with bosonic field theory
on Riemann surfaces, gravitational anomalies and topological field theories.
| [
{
"created": "Sat, 31 Dec 2005 18:24:42 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Jan 2006 17:25:30 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Feb 2006 14:40:38 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Zabrodin",
"A.",
""
],
[
"Wiegmann",
"P.",
""
]
] | We discuss the 1/N expansion of the free energy of N logarithmically interacting charges in the plane in an external field. For some particular values of the inverse temperature beta this system is equivalent to the eigenvalue version of certain random matrix models, where it is refered to as the "Dyson gas" of eigenvalues. To find the free energy at large N and the structure of 1/N-corrections, we first use the effective action approach and then confirm the results by solving the loop equation. The results obtained give some new representations of the mathematical objects related to the Dirichlet boundary value problem, complex analysis and spectral geometry of exterior domains. They also suggest interesting links with bosonic field theory on Riemann surfaces, gravitational anomalies and topological field theories. |
hep-th/9706146 | Igor V. Volovich | I.Ya.Arefeva and I.V.Volovich | Knots and Matrix Models | 9 pages, LaTex, 6 figures | Inf.Dim.Anal.Quant.Probab.Rel.Top. 1 (1998) 167-173 | null | SMI-15-97 | hep-th math.QA q-alg | null | We consider a matrix model with d matrices NxN and show that in the limit of
large N and d=0 the model describes the knot diagrams. The same limit in matrix
string theory is also discussed. We speculate that a prototypical M(atrix)
without matrix theory exists in void.
| [
{
"created": "Fri, 20 Jun 1997 16:10:07 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Arefeva",
"I. Ya.",
""
],
[
"Volovich",
"I. V.",
""
]
] | We consider a matrix model with d matrices NxN and show that in the limit of large N and d=0 the model describes the knot diagrams. The same limit in matrix string theory is also discussed. We speculate that a prototypical M(atrix) without matrix theory exists in void. |
hep-th/9604064 | Cenalo Vaz | Cenalo Vaz and Louis Witten | Quantum Naked Singularities in 2d Dilaton Gravity | 35 pages, 87K (excluding figures), 6 PS and EPS figures. PHYZZX
macros. Revised version to appear in Nucl. Phys. B. A section examining the
back reaction of the spacetime has been added | Nucl.Phys. B487 (1997) 409-441 | 10.1016/S0550-3213(96)00643-8 | UATP-96/01 | hep-th astro-ph | null | Roughly speaking, naked singularities are singularities that may be seen by
timelike observers. The Cosmic Censorship conjecture forbids their existence by
stating that a reasonable system of energy will not, under reasonable
conditions, collapse into a naked singularity. There are however many
(classical) counter-examples to this conjecture in the literature. We propose a
defense of the conjecture through the quantum theory. We will show that the
Hawking effect and the accompanying back reaction, when consistently applied to
naked singularities in two dimensional models of dilaton gravity with matter
and a cosmological constant, prevent their formation by causing them to explode
or emit radiation catastrophically. This contrasts with black holes which
radiate slowly. If this phenomenon is reproduced in the four dimensional world,
the explosion of naked singularities should have observable consequences.
| [
{
"created": "Thu, 11 Apr 1996 17:07:59 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Nov 1996 19:38:55 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Vaz",
"Cenalo",
""
],
[
"Witten",
"Louis",
""
]
] | Roughly speaking, naked singularities are singularities that may be seen by timelike observers. The Cosmic Censorship conjecture forbids their existence by stating that a reasonable system of energy will not, under reasonable conditions, collapse into a naked singularity. There are however many (classical) counter-examples to this conjecture in the literature. We propose a defense of the conjecture through the quantum theory. We will show that the Hawking effect and the accompanying back reaction, when consistently applied to naked singularities in two dimensional models of dilaton gravity with matter and a cosmological constant, prevent their formation by causing them to explode or emit radiation catastrophically. This contrasts with black holes which radiate slowly. If this phenomenon is reproduced in the four dimensional world, the explosion of naked singularities should have observable consequences. |
0805.0372 | Bogdan Georgiev Dimitrov | Bogdan G. Dimitrov (BLThP, JINR, Dubna, Russia) | Elliptic Curves, Algebraic Geometry Approach in Gravity Theory and
Uniformization of Multivariable Cubic Algebraic Equations | 23 pages, no figures, this is a part of hep-th/0511136 (in memory of
Prof. Sawa S. Manoff), but with Sections 2 and 3 rewritten and expanded;
version, accepted for publication in Int. J. Geom. Meth. Mod. Phys.; to
appear in vol. 5, iss. 5 (August 2008) | Int.J.Geom.Meth.Mod.Phys.05:677-698,2008 | 10.1142/S0219887808003090 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on the distinction between the covariant and contravariant metric
tensor components in the framework of the affine geometry approach and the s.c.
"gravitational theories with covariant and contravariant connection and
metrics", it is shown that a wide variety of third, fourth, fifth, seventh,
tenth- degree algebraic equations exists in gravity theory. This is important
in view of finding new solutions of the Einstein's equations, if they are
treated as algebraic ones. Since the obtained cubic algebraic equations are
multivariable, the standard algebraic geometry approach for parametrization of
two-dimensional cubic equations with the elliptic Weierstrass function cannot
be applied. Nevertheless, for a previously considered cubic equation for
reparametrization invariance of the gravitational Lagrangian and on the base of
a newly introduced notion of "embedded sequence of cubic algebraic equations",
it is demonstrated that in the multivariable case such a parametrization is
also possible, but with complicated irrational and non-elliptic functions.
After finding the solutions of a system of first - order nonlinear differential
equations, these parametrization functions can be considered also as
uniformization ones (depending only on the complex uniformization variable z)
for the initial multivariable cubic equation.
| [
{
"created": "Sat, 3 May 2008 16:41:53 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Dimitrov",
"Bogdan G.",
"",
"BLThP, JINR, Dubna, Russia"
]
] | Based on the distinction between the covariant and contravariant metric tensor components in the framework of the affine geometry approach and the s.c. "gravitational theories with covariant and contravariant connection and metrics", it is shown that a wide variety of third, fourth, fifth, seventh, tenth- degree algebraic equations exists in gravity theory. This is important in view of finding new solutions of the Einstein's equations, if they are treated as algebraic ones. Since the obtained cubic algebraic equations are multivariable, the standard algebraic geometry approach for parametrization of two-dimensional cubic equations with the elliptic Weierstrass function cannot be applied. Nevertheless, for a previously considered cubic equation for reparametrization invariance of the gravitational Lagrangian and on the base of a newly introduced notion of "embedded sequence of cubic algebraic equations", it is demonstrated that in the multivariable case such a parametrization is also possible, but with complicated irrational and non-elliptic functions. After finding the solutions of a system of first - order nonlinear differential equations, these parametrization functions can be considered also as uniformization ones (depending only on the complex uniformization variable z) for the initial multivariable cubic equation. |
1002.1553 | Yu-Xiao Liu | Shao-Wen Wei, Yu-Xiao Liu, Ke Yang, Yuan Zhong | Entropy/Area spectra of the charged black hole from quasinormal modes | 13 pages, no figures | Phys.Rev.D81:104042,2010 | 10.1103/PhysRevD.81.104042 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | With the new physical interpretation of quasinormal modes proposed by
Maggiore, the quantum area spectra of black holes have been investigated
recently. Adopting the modified Hod's treatment, results show that the area
spectra for black holes are equally spaced and the spacings are in a unified
form, $\triangle A=8\pi \hbar$, in Einstein gravity. On the other hand,
following Kunstatter's method, the studies show that the area spectrum for a
nonrotating black hole with no charge is equidistant. And for a rotating (or
charged) black hole, it is also equidistant and independent of the angular
momentum $J$ (or charge $q$) when the black hole is far from the extremal case.
In this paper, we mainly deal with the area spectrum of the stringy charged
Garfinkle-Horowitz-Strominger black hole, originating from effective action
that emerges in the low-energy string theory. We find that both methods give
the same results-that the area spectrum is equally spaced and does not depend
on the charge $q$. Our study may provide new insights into understanding the
area spectrum and entropy spectrum for stringy black holes.
| [
{
"created": "Mon, 8 Feb 2010 09:06:10 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Mar 2010 04:30:44 GMT",
"version": "v2"
},
{
"created": "Fri, 28 May 2010 08:39:13 GMT",
"version": "v3"
}
] | 2014-11-20 | [
[
"Wei",
"Shao-Wen",
""
],
[
"Liu",
"Yu-Xiao",
""
],
[
"Yang",
"Ke",
""
],
[
"Zhong",
"Yuan",
""
]
] | With the new physical interpretation of quasinormal modes proposed by Maggiore, the quantum area spectra of black holes have been investigated recently. Adopting the modified Hod's treatment, results show that the area spectra for black holes are equally spaced and the spacings are in a unified form, $\triangle A=8\pi \hbar$, in Einstein gravity. On the other hand, following Kunstatter's method, the studies show that the area spectrum for a nonrotating black hole with no charge is equidistant. And for a rotating (or charged) black hole, it is also equidistant and independent of the angular momentum $J$ (or charge $q$) when the black hole is far from the extremal case. In this paper, we mainly deal with the area spectrum of the stringy charged Garfinkle-Horowitz-Strominger black hole, originating from effective action that emerges in the low-energy string theory. We find that both methods give the same results-that the area spectrum is equally spaced and does not depend on the charge $q$. Our study may provide new insights into understanding the area spectrum and entropy spectrum for stringy black holes. |
1511.00902 | David Dudal | D. Dudal, M. S. Guimaraes | The Veneziano ghost, glost and gauge copies in QCD | 5 pages, 1 .png figure. v2: typos corrected + extra references | Phys. Rev. D 93, 085010 (2016) | 10.1103/PhysRevD.93.085010 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this short note, we come back to the recent proposal put forward by
Kharzeev and Levin [PRL 114 (2015) 24, 242001], in which they
phenomenologically couple the non-perturbative Veneziano ghost to the
perturbative gluon, leading to a modified gluon propagator (the "glost") of the
Gribov type, with complex poles. As such, a possible link was made between the
QCD topological \theta-vacuum (Veneziano ghost) and color confinement (no
physically observable gluons). We discuss some subtleties concerning gauge
(BRST) invariance of this proposal, related to the choice of Feynman gauge. We
furthermore provide an example in the Landau gauge of a similar
phenomenological vertex that also describes the necessary Veneziano ghost but
does not affect the Landau gauge gluon propagator.
| [
{
"created": "Tue, 3 Nov 2015 13:26:34 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Nov 2015 08:27:35 GMT",
"version": "v2"
}
] | 2016-04-13 | [
[
"Dudal",
"D.",
""
],
[
"Guimaraes",
"M. S.",
""
]
] | In this short note, we come back to the recent proposal put forward by Kharzeev and Levin [PRL 114 (2015) 24, 242001], in which they phenomenologically couple the non-perturbative Veneziano ghost to the perturbative gluon, leading to a modified gluon propagator (the "glost") of the Gribov type, with complex poles. As such, a possible link was made between the QCD topological \theta-vacuum (Veneziano ghost) and color confinement (no physically observable gluons). We discuss some subtleties concerning gauge (BRST) invariance of this proposal, related to the choice of Feynman gauge. We furthermore provide an example in the Landau gauge of a similar phenomenological vertex that also describes the necessary Veneziano ghost but does not affect the Landau gauge gluon propagator. |
2405.06030 | Jose Queiruga | A. Alonso-Izquierdo, J. J. Blanco-Pillado, D. Migu\'elez-Caballero, S.
Navarro-Obreg\'on and J. Queiruga | Excited Abelian-Higgs vortices: decay rate and radiation emission | 16 pages, 10 figures | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | The evolution of 1-vortices when their massive bound mode is excited is
investigated in detail (both analytically and numerically) in the Abelian-Higgs
model for different ranges of the self-coupling constant. The dependence of the
spectrum of the 1-vortex fluctuation operator on the model parameter is
discussed initially. A perturbative approach is employed to study the radiation
emission in both the scalar and the vector channels. Our findings reveal that
the oscillating initial configuration of the 1-vortex radiates at a frequency
twice that of the internal mode. Through energy conservation considerations, we
derive the decay law of the massive mode. Finally, these analytical results are
compared with numerical simulations in field theory.
| [
{
"created": "Thu, 9 May 2024 18:00:45 GMT",
"version": "v1"
}
] | 2024-05-13 | [
[
"Alonso-Izquierdo",
"A.",
""
],
[
"Blanco-Pillado",
"J. J.",
""
],
[
"Miguélez-Caballero",
"D.",
""
],
[
"Navarro-Obregón",
"S.",
""
],
[
"Queiruga",
"J.",
""
]
] | The evolution of 1-vortices when their massive bound mode is excited is investigated in detail (both analytically and numerically) in the Abelian-Higgs model for different ranges of the self-coupling constant. The dependence of the spectrum of the 1-vortex fluctuation operator on the model parameter is discussed initially. A perturbative approach is employed to study the radiation emission in both the scalar and the vector channels. Our findings reveal that the oscillating initial configuration of the 1-vortex radiates at a frequency twice that of the internal mode. Through energy conservation considerations, we derive the decay law of the massive mode. Finally, these analytical results are compared with numerical simulations in field theory. |
1711.06150 | Yiwen Pan | Fabrizio Nieri, Yiwen Pan, Maxim Zabzine | 3d Expansions of 5d Instanton Partition Functions | v1: 30 pages. v2: references added. v3:JHEP version with added
references and clarifications | null | 10.1007/JHEP04(2018)092 | null | hep-th math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a set of novel expansions of Nekrasov's instanton partition
functions. Focusing on 5d supersymmetric pure Yang-Mills theory with unitary
gauge group on $\mathbb{C}^2_{q,t^{-1}} \times \mathbb{S}^1$, we show that the
instanton partition function admits expansions in terms of partition functions
of unitary gauge theories living on the 3d subspaces $\mathbb{C}_{q} \times
\mathbb{S}^1$, $\mathbb{C}_{t^{-1}} \times \mathbb{S}^1$ and their intersection
along $\mathbb{S}^1$. These new expansions are natural from the BPS/CFT
viewpoint, as they can be matched with $W_{q,t}$ correlators involving an
arbitrary number of screening charges of two kinds. Our constructions
generalize and interpolate existing results in the literature.
| [
{
"created": "Thu, 16 Nov 2017 15:42:49 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Nov 2017 15:37:51 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Apr 2018 06:47:17 GMT",
"version": "v3"
}
] | 2018-05-09 | [
[
"Nieri",
"Fabrizio",
""
],
[
"Pan",
"Yiwen",
""
],
[
"Zabzine",
"Maxim",
""
]
] | We propose a set of novel expansions of Nekrasov's instanton partition functions. Focusing on 5d supersymmetric pure Yang-Mills theory with unitary gauge group on $\mathbb{C}^2_{q,t^{-1}} \times \mathbb{S}^1$, we show that the instanton partition function admits expansions in terms of partition functions of unitary gauge theories living on the 3d subspaces $\mathbb{C}_{q} \times \mathbb{S}^1$, $\mathbb{C}_{t^{-1}} \times \mathbb{S}^1$ and their intersection along $\mathbb{S}^1$. These new expansions are natural from the BPS/CFT viewpoint, as they can be matched with $W_{q,t}$ correlators involving an arbitrary number of screening charges of two kinds. Our constructions generalize and interpolate existing results in the literature. |
1011.1258 | Boris Pioline | Jan Manschot, Boris Pioline, Ashoke Sen | Wall-Crossing from Boltzmann Black Hole Halos | 71 pages, 1 figure; v3: changed normalisation of symplectic form
3.22, corrected 3.35, other cosmetic changes | JHEP 1107:059,2011 | 10.1007/JHEP07(2011)059 | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A key question in the study of N=2 supersymmetric string or field theories is
to understand the decay of BPS bound states across walls of marginal stability
in the space of parameters or vacua. By representing the potentially unstable
bound states as multi-centered black hole solutions in N=2 supergravity, we
provide two fully general and explicit formulae for the change in the (refined)
index across the wall. The first, "Higgs branch" formula relies on Reineke's
results for invariants of quivers without oriented loops, specialized to the
Abelian case. The second, "Coulomb branch" formula results from evaluating the
symplectic volume of the classical phase space of multi-centered solutions by
localization. We provide extensive evidence that these new formulae agree with
each other and with the mathematical results of Kontsevich and Soibelman (KS)
and Joyce and Song (JS). The main physical insight behind our results is that
the Bose-Fermi statistics of individual black holes participating in the bound
state can be traded for Maxwell-Boltzmann statistics, provided the (integer)
index \Omega(\gamma) of the internal degrees of freedom carried by each black
hole is replaced by an effective (rational) index \bar\Omega(\gamma)=
\sum_{m|\gamma} \Omega(\gamma/m)/m^2. A similar map also exists for the refined
index. This observation provides a physical rationale for the appearance of the
rational Donaldson-Thomas invariant \bar\Omega(\gamma) in the works of KS and
JS. The simplicity of the wall crossing formula for rational invariants allows
us to generalize the "semi-primitive wall-crossing formula" to arbitrary decays
of the type \gamma\to M\gamma_1+N\gamma_2 with M=2,3.
| [
{
"created": "Thu, 4 Nov 2010 20:00:04 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Nov 2010 15:43:21 GMT",
"version": "v2"
},
{
"created": "Fri, 11 Mar 2011 09:27:04 GMT",
"version": "v3"
}
] | 2011-07-19 | [
[
"Manschot",
"Jan",
""
],
[
"Pioline",
"Boris",
""
],
[
"Sen",
"Ashoke",
""
]
] | A key question in the study of N=2 supersymmetric string or field theories is to understand the decay of BPS bound states across walls of marginal stability in the space of parameters or vacua. By representing the potentially unstable bound states as multi-centered black hole solutions in N=2 supergravity, we provide two fully general and explicit formulae for the change in the (refined) index across the wall. The first, "Higgs branch" formula relies on Reineke's results for invariants of quivers without oriented loops, specialized to the Abelian case. The second, "Coulomb branch" formula results from evaluating the symplectic volume of the classical phase space of multi-centered solutions by localization. We provide extensive evidence that these new formulae agree with each other and with the mathematical results of Kontsevich and Soibelman (KS) and Joyce and Song (JS). The main physical insight behind our results is that the Bose-Fermi statistics of individual black holes participating in the bound state can be traded for Maxwell-Boltzmann statistics, provided the (integer) index \Omega(\gamma) of the internal degrees of freedom carried by each black hole is replaced by an effective (rational) index \bar\Omega(\gamma)= \sum_{m|\gamma} \Omega(\gamma/m)/m^2. A similar map also exists for the refined index. This observation provides a physical rationale for the appearance of the rational Donaldson-Thomas invariant \bar\Omega(\gamma) in the works of KS and JS. The simplicity of the wall crossing formula for rational invariants allows us to generalize the "semi-primitive wall-crossing formula" to arbitrary decays of the type \gamma\to M\gamma_1+N\gamma_2 with M=2,3. |
hep-th/9408027 | Jan Willem v. Holten | J.W. van Holten | Relations between some analytic representations of one-loop scalar
integrals | 12 pages, NIKHEF-H/94-22 | Z.Phys. C66 (1995) 303-308 | 10.1007/BF01496604 | null | hep-th hep-ph | null | We compare several parametrized analytic expressions for an arbitrary
off-shell one-loop $n$-point function in scalar field theory in $D$-dimensional
space-time, and show their equivalence both directly and through path-integral
methods.
| [
{
"created": "Thu, 4 Aug 1994 11:56:29 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"van Holten",
"J. W.",
""
]
] | We compare several parametrized analytic expressions for an arbitrary off-shell one-loop $n$-point function in scalar field theory in $D$-dimensional space-time, and show their equivalence both directly and through path-integral methods. |
1204.5973 | Eugenio R. Bezerra de Mello | Eug\^enio R. Bezerra de Mello | Wightman functions in de Sitter and anti-de Sitter spacetimes in the
presence of cosmic string | Talk given in the 5th International Workshop on Astronomy and
Relativistic Astrophysics (IWARA2011), Joao Pessoa, Brazil, 6-11 Aug 2011 | Int. J. Mod. Phys.: Conf. Series 18 (2012) 115 | 10.1142/S2010194512008318 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we evaluate the Wightman functions associated with a massive
quantum scalar field in de Sitter and anti-de Sitter spacetimes in the presence
of a cosmic string. Having these functions we calculate the corresponding
renormalized vacuum expectation values of the field squared and present the
behavior of the contributions induced by the cosmic string as function of the
proper distance to it for different values of the parameter which codify the
presence of this linear topological defect.
| [
{
"created": "Thu, 26 Apr 2012 16:25:46 GMT",
"version": "v1"
}
] | 2012-10-03 | [
[
"de Mello",
"Eugênio R. Bezerra",
""
]
] | In this paper we evaluate the Wightman functions associated with a massive quantum scalar field in de Sitter and anti-de Sitter spacetimes in the presence of a cosmic string. Having these functions we calculate the corresponding renormalized vacuum expectation values of the field squared and present the behavior of the contributions induced by the cosmic string as function of the proper distance to it for different values of the parameter which codify the presence of this linear topological defect. |
2201.12217 | John F. Donoghue | John F. Donoghue | Non-local partner to the cosmological constant | 10 pages, 1 figure, comments and relevant references have been added | null | 10.1103/PhysRevD.105.105025 | ACFI-T22-01 | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | I show that quantum corrections due to a massive particle generates a
non-local term in the gravitational effective action which is of zeroth order
in the derivative expansion, much like the cosmological constant. It carries a
fixed coefficient which is very much larger than the cosmological constant, and
which cannot be fine-tuned. The interaction is active at scales above the
particle's mass. This is of the form $m^4 (\frac1{\Box}R)_x "<x|\log (\Box +m^2
)|y >" (\frac1{\Box}R)_y$, and I discuss the meaning of $ "<x|\log (\Box +m^2)
|y >" $ and other aspects of its interpretation.
| [
{
"created": "Fri, 28 Jan 2022 16:19:26 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Mar 2022 18:29:38 GMT",
"version": "v2"
}
] | 2022-06-15 | [
[
"Donoghue",
"John F.",
""
]
] | I show that quantum corrections due to a massive particle generates a non-local term in the gravitational effective action which is of zeroth order in the derivative expansion, much like the cosmological constant. It carries a fixed coefficient which is very much larger than the cosmological constant, and which cannot be fine-tuned. The interaction is active at scales above the particle's mass. This is of the form $m^4 (\frac1{\Box}R)_x "<x|\log (\Box +m^2 )|y >" (\frac1{\Box}R)_y$, and I discuss the meaning of $ "<x|\log (\Box +m^2) |y >" $ and other aspects of its interpretation. |
1508.07500 | Emil Akhmedov | Emil T. Akhmedov, Hadi Godazgar and Fedor K. Popov | Hawking radiation and secularly growing loop corrections | 28 pages, but general physical explanation is given in the
introduction; Final version that is going to appear in PRD | Phys. Rev. D 93, 024029 (2016) | 10.1103/PhysRevD.93.024029 | ITEP-TH-13/15, DAMTP-2015-46 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the expectation value of the energy momentum tensor during thin
shell collapse for a massive, real, scalar field theory. At tree-level, we find
thermal, Hawking-type, behaviour for the energy flux. Using the
Schwinger-Keldysh technique, we calculate two-loop corrections to the
tree-level correlation functions and show that they exhibit secular growth,
suggesting the breakdown of the perturbation theory.
| [
{
"created": "Sat, 29 Aug 2015 20:10:56 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Dec 2015 09:25:49 GMT",
"version": "v2"
}
] | 2016-01-20 | [
[
"Akhmedov",
"Emil T.",
""
],
[
"Godazgar",
"Hadi",
""
],
[
"Popov",
"Fedor K.",
""
]
] | We study the expectation value of the energy momentum tensor during thin shell collapse for a massive, real, scalar field theory. At tree-level, we find thermal, Hawking-type, behaviour for the energy flux. Using the Schwinger-Keldysh technique, we calculate two-loop corrections to the tree-level correlation functions and show that they exhibit secular growth, suggesting the breakdown of the perturbation theory. |
2107.10274 | Shai Chester | Luis F. Alday, Shai M. Chester, and Himanshu Raj | ABJM at Strong Coupling from M-theory, Localization, and Lorentzian
Inversion | 47 pages + appendices, 3 figures. v3 typos corrected, accepted to
JHEP | null | 10.1007/JHEP02(2022)005 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the stress tensor multiplet four-point function in the 3d maximally
supersymmetric ABJ(M) theory with Chern-Simons level $k=2$, which in the large
$N$ limit is holographically dual to weakly coupled M-theory on $AdS_4\times
S^7/\mathbb{Z}_2$. We use the Lorentzian inversion to compute the 1-loop
correction to this holographic correlator coming from Witten diagrams with
supergravity $R$ and the first higher derivative correction $R^4$ vertices, up
to a finite number of contact terms that contribute to low spins where the
inversion formula does not converge. We find a precise match with the
corresponding terms in the 11d M-theory S-matrix by taking the flat space
limit, which is not sensitive to these contact terms. We then conjecturally fix
these contact terms by analytically continuing the inversion formula below its
expected range of convergence, and verify this conjecture using supersymmetric
localization. Finally, we compare some of the 1-loop CFT data to
non-perturbative in $N$ bounds from the numerical conformal bootstrap, which we
compute at unprecedently high accuracy, and find that the 1-loop corrections
saturate the bounds in the large $N$ regime, which extends the previously
observed match at tree level.
| [
{
"created": "Wed, 21 Jul 2021 18:00:06 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Jul 2021 08:54:24 GMT",
"version": "v2"
},
{
"created": "Tue, 4 Jan 2022 17:01:13 GMT",
"version": "v3"
}
] | 2022-02-16 | [
[
"Alday",
"Luis F.",
""
],
[
"Chester",
"Shai M.",
""
],
[
"Raj",
"Himanshu",
""
]
] | We study the stress tensor multiplet four-point function in the 3d maximally supersymmetric ABJ(M) theory with Chern-Simons level $k=2$, which in the large $N$ limit is holographically dual to weakly coupled M-theory on $AdS_4\times S^7/\mathbb{Z}_2$. We use the Lorentzian inversion to compute the 1-loop correction to this holographic correlator coming from Witten diagrams with supergravity $R$ and the first higher derivative correction $R^4$ vertices, up to a finite number of contact terms that contribute to low spins where the inversion formula does not converge. We find a precise match with the corresponding terms in the 11d M-theory S-matrix by taking the flat space limit, which is not sensitive to these contact terms. We then conjecturally fix these contact terms by analytically continuing the inversion formula below its expected range of convergence, and verify this conjecture using supersymmetric localization. Finally, we compare some of the 1-loop CFT data to non-perturbative in $N$ bounds from the numerical conformal bootstrap, which we compute at unprecedently high accuracy, and find that the 1-loop corrections saturate the bounds in the large $N$ regime, which extends the previously observed match at tree level. |
1608.03255 | Kianoosh Kargar | Kianoosh Kargar and Ahmad Shirzad and Majid Monemzadeh | Dynamical Structure of the Fields in the Light Cone Coordinates | null | Phys. Rev. D 99, 045019 (2019) | 10.1103/PhysRevD.99.045019 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is well-known that additional constraints emerge in light cone
coordinates. We enumerate the number of physical modes in light cone
coordinates and compare it with conventional coordinates. We show that the
number of Schrodinger modes is divided by two in light cone coordinates. We
study the effect of this reduction in the number ladder operators acting on
physical states of a system. We analyse the scaler, spinor and vector field
theories carefully to see the effect of changes in the dynamical structure of
these theories from the view point of the reduction of Schrodinger modes in
light-cone coordinates.
| [
{
"created": "Wed, 10 Aug 2016 18:54:00 GMT",
"version": "v1"
},
{
"created": "Sat, 3 Sep 2016 14:28:07 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Mar 2019 20:51:36 GMT",
"version": "v3"
}
] | 2019-03-13 | [
[
"Kargar",
"Kianoosh",
""
],
[
"Shirzad",
"Ahmad",
""
],
[
"Monemzadeh",
"Majid",
""
]
] | It is well-known that additional constraints emerge in light cone coordinates. We enumerate the number of physical modes in light cone coordinates and compare it with conventional coordinates. We show that the number of Schrodinger modes is divided by two in light cone coordinates. We study the effect of this reduction in the number ladder operators acting on physical states of a system. We analyse the scaler, spinor and vector field theories carefully to see the effect of changes in the dynamical structure of these theories from the view point of the reduction of Schrodinger modes in light-cone coordinates. |
hep-th/9412189 | Farid Benachenhou | Farid Benachenhou (Uppsala university) | Black Hole Evaporation. A Survey | 74 pages LATEX compressed with gzip and uuencode. 10 postscript
figures in compressed (with gzip) and uuencoded tarfile called figbh are
available separately | null | null | UUITP 21/94 | hep-th | null | This thesis is a review of black hole evaporation with emphasis on recent
results obtained for two dimensional black holes. First, the geometry of the
most general stationary black hole in four dimensions is described and some
classical quantities are defined. Then, a derivation of the spectrum of the
radiation emitted during the evaporation is presented. In section four, a two
dimensional model which has black hole solutions is introduced, the so-called
CGHS model. These two dimensional black holes are found to evaporate. Unlike
the four dimensional case, the evaporation process can be studied analytically
as long as the mass of the black hole is well above the two dimensional analog
of the Planck mass. Finally, some proposals for resolving the so-called
information paradox are reviewed and it is concluded that none of them is fully
satisfactory.
| [
{
"created": "Wed, 21 Dec 1994 16:17:51 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Benachenhou",
"Farid",
"",
"Uppsala university"
]
] | This thesis is a review of black hole evaporation with emphasis on recent results obtained for two dimensional black holes. First, the geometry of the most general stationary black hole in four dimensions is described and some classical quantities are defined. Then, a derivation of the spectrum of the radiation emitted during the evaporation is presented. In section four, a two dimensional model which has black hole solutions is introduced, the so-called CGHS model. These two dimensional black holes are found to evaporate. Unlike the four dimensional case, the evaporation process can be studied analytically as long as the mass of the black hole is well above the two dimensional analog of the Planck mass. Finally, some proposals for resolving the so-called information paradox are reviewed and it is concluded that none of them is fully satisfactory. |
hep-th/9505074 | David A. Lowe | David A. Lowe | The Planckian Conspiracy: String Theory and the Black Hole Information
Paradox | 13 pages, harvmac | Nucl.Phys. B456 (1995) 257-270 | 10.1016/0550-3213(95)00521-9 | UCSBTH-95-11 | hep-th | null | It has been argued that the consistency of quantum theory with black hole
physics requires nonlocality not present in ordinary effective field theory. We
examine the extent to which such nonlocal effects show up in the perturbative
S-matrix of string theory.
| [
{
"created": "Fri, 12 May 1995 22:09:16 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Lowe",
"David A.",
""
]
] | It has been argued that the consistency of quantum theory with black hole physics requires nonlocality not present in ordinary effective field theory. We examine the extent to which such nonlocal effects show up in the perturbative S-matrix of string theory. |
hep-th/9903005 | Edward Witten | Edward Witten | Supersymmetric Index Of Three-Dimensional Gauge Theory | 29 pp. References added | null | 10.1142/9789812793850_0013 | null | hep-th | null | In N=1 super Yang-Mills theory in three spacetime dimensions, with a simple
gauge group $G$ and a Chern-Simons interaction of level $k$, the supersymmetric
index $\Tr (-1)^F$ can be computed by making a relation to a pure Chern-Simons
theory or microscopically by an explicit Born-Oppenheimer calculation on a
two-torus. The result shows that supersymmetry is unbroken if $|k|\geq h/2$
(with $h$ the dual Coxeter number of $G$) and suggests that dynamical
supersymmetry breaking occurs for $|k|<h/2$. The theories with large $|k|$ are
massive gauge theories whose universality class is not fully described by the
standard criteria.
| [
{
"created": "Sat, 27 Feb 1999 19:35:22 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Apr 1999 19:26:33 GMT",
"version": "v2"
}
] | 2016-11-23 | [
[
"Witten",
"Edward",
""
]
] | In N=1 super Yang-Mills theory in three spacetime dimensions, with a simple gauge group $G$ and a Chern-Simons interaction of level $k$, the supersymmetric index $\Tr (-1)^F$ can be computed by making a relation to a pure Chern-Simons theory or microscopically by an explicit Born-Oppenheimer calculation on a two-torus. The result shows that supersymmetry is unbroken if $|k|\geq h/2$ (with $h$ the dual Coxeter number of $G$) and suggests that dynamical supersymmetry breaking occurs for $|k|<h/2$. The theories with large $|k|$ are massive gauge theories whose universality class is not fully described by the standard criteria. |
hep-th/9506207 | null | Pierre Binetruy, Mary K. Gaillard | S-Duality Constraints On Effective Potentials For Gaugino Condensation | 22 pages | Phys.Lett. B365 (1996) 87-97 | 10.1016/0370-2693(95)01242-7 | LBL-37198, UCB-PTH-95/13, LPTHE-Orsay 95/38 | hep-th hep-ph | null | We clarify the role of approximate S-duality in effective supergravity
theories that are the low energy limits of string theories, and show how this
partial symmetry may be used to constrain effective lagrangians for gaugino
condensation.
| [
{
"created": "Fri, 30 Jun 1995 20:29:16 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Binetruy",
"Pierre",
""
],
[
"Gaillard",
"Mary K.",
""
]
] | We clarify the role of approximate S-duality in effective supergravity theories that are the low energy limits of string theories, and show how this partial symmetry may be used to constrain effective lagrangians for gaugino condensation. |
1211.7108 | Juan Manuel Romero | Juan M. Romero, Alejandro Gaona | Conformal quantum mechanics and Fick-Jacobs equation | 8 pages, no figures, improved introduction and references added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is found a relation between conformal quantum mechanics and Fick-Jacobs
equation, which describes diffusion in channels. This relation is given between
a family of channels and a family of conformal Hamiltonians. In addition, it is
shown that a conformal Hamiltonian is associated with two channels with
different geometry. Furthermore exact solutions for Fick-Jacobs equation are
given for this family of channels.
| [
{
"created": "Thu, 29 Nov 2012 22:21:17 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Dec 2012 00:19:53 GMT",
"version": "v2"
}
] | 2012-12-17 | [
[
"Romero",
"Juan M.",
""
],
[
"Gaona",
"Alejandro",
""
]
] | It is found a relation between conformal quantum mechanics and Fick-Jacobs equation, which describes diffusion in channels. This relation is given between a family of channels and a family of conformal Hamiltonians. In addition, it is shown that a conformal Hamiltonian is associated with two channels with different geometry. Furthermore exact solutions for Fick-Jacobs equation are given for this family of channels. |
hep-th/0410171 | Herbert Weigel | N. Graham, V. Khemani, M. Quandt, O. Schroeder, and H. Weigel | Quantum QED Flux Tubes in 2+1 and 3+1 Dimensions | 49 pages, 13 figures, minor changes in wording, accepted for
publication in Nucl. Phys. B | Nucl.Phys. B707 (2005) 233-277 | 10.1016/j.nuclphysb.2004.11.057 | MIT-CTP-3547, UNITU-HEP-10/2004 | hep-th cond-mat.other hep-ph | null | We compute energies and energy densities of static electromagnetic flux tubes
in three and four spacetime dimensions. Our calculation uses scattering data
from the potential induced by the flux tube and imposes standard perturbative
renormalization conditions. The calculation is exact to one-loop order, with no
additional approximation adopted. We embed the flux tube in a configuration
with zero total flux so that we can fully apply standard results from
scattering theory. We find that upon choosing the same on-shell renormalization
conditions, the functional dependence of the energy and energy density on the
parameters of the flux tube is very similar for three and four spacetime
dimensions. We compare our exact results to those obtained from the derivative
and perturbation expansion approximations, and find good agreement for
appropriate parameters of the flux tube. This remedies some puzzles in the
prior literature.
| [
{
"created": "Fri, 15 Oct 2004 16:25:06 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Nov 2004 17:00:44 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Graham",
"N.",
""
],
[
"Khemani",
"V.",
""
],
[
"Quandt",
"M.",
""
],
[
"Schroeder",
"O.",
""
],
[
"Weigel",
"H.",
""
]
] | We compute energies and energy densities of static electromagnetic flux tubes in three and four spacetime dimensions. Our calculation uses scattering data from the potential induced by the flux tube and imposes standard perturbative renormalization conditions. The calculation is exact to one-loop order, with no additional approximation adopted. We embed the flux tube in a configuration with zero total flux so that we can fully apply standard results from scattering theory. We find that upon choosing the same on-shell renormalization conditions, the functional dependence of the energy and energy density on the parameters of the flux tube is very similar for three and four spacetime dimensions. We compare our exact results to those obtained from the derivative and perturbation expansion approximations, and find good agreement for appropriate parameters of the flux tube. This remedies some puzzles in the prior literature. |
1601.02468 | Sang Pyo Kim | Chul Min Kim, Sang Pyo Kim | Spin Resonance Effect on Pair Production in Rotating Electric Fields | RevTex 10 pages; Eq. (56) corrected | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We advance a new analytical method for the Dirac equation in two-dimensional,
homogeneous, time-dependent electric fields, which expresses the Cauchy problem
of the two-component spinor and its derivative as the time-ordered integral of
the transition rate of the time-dependent eigenspinors and the time-dependent
energy eigenvalues. The in-vacuum at later times evolves from that at the past
infinity and continuously make transitions between eigenspinors and between
positive and negative frequencies of the time-dependent energy eigenvalues. The
production of electron and positron pairs is given by the coefficient of the
negative frequency at the future infinity which evolves from the positive
frequency at the past infinity. In the adiabatic case when the time scale for
the rotation of eigenspinors and energy eigenvalues is much longer than the
electron Compton time, we find the spin-resonance effect on the pair
production, which is simply determined by the spin rotation, the pair
production and the continuous transmission coefficients between the energy
eigenvalues without the change of spin states.
| [
{
"created": "Mon, 11 Jan 2016 14:59:05 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jan 2016 01:52:45 GMT",
"version": "v2"
}
] | 2016-01-19 | [
[
"Kim",
"Chul Min",
""
],
[
"Kim",
"Sang Pyo",
""
]
] | We advance a new analytical method for the Dirac equation in two-dimensional, homogeneous, time-dependent electric fields, which expresses the Cauchy problem of the two-component spinor and its derivative as the time-ordered integral of the transition rate of the time-dependent eigenspinors and the time-dependent energy eigenvalues. The in-vacuum at later times evolves from that at the past infinity and continuously make transitions between eigenspinors and between positive and negative frequencies of the time-dependent energy eigenvalues. The production of electron and positron pairs is given by the coefficient of the negative frequency at the future infinity which evolves from the positive frequency at the past infinity. In the adiabatic case when the time scale for the rotation of eigenspinors and energy eigenvalues is much longer than the electron Compton time, we find the spin-resonance effect on the pair production, which is simply determined by the spin rotation, the pair production and the continuous transmission coefficients between the energy eigenvalues without the change of spin states. |
1711.00099 | Saulo De Mesquita Diles | Saulo Diles | The role of Weyl symmetry in hydrodynamics | 13 pages | null | 10.1016/j.physletb.2018.02.018 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This article is dedicated to the analysis of Weyl symmetry in the context of
relativistic hydrodynamics. Here is discussed how this symmetry is properly
implemented using the prescription of minimal coupling: $\partial\to \partial
+\omega \mathcal{A}$. It is shown that this prescription has no problem to deal
with curvature since it gives the correct expressions for the commutator of
covariant derivatives.
In the hydrodynamics the Weyl gauge connection emerges from the degrees of
freedom of the fluid: it is a combination of the expansion and entropy
gradient. The remaining degrees of the fluid and the metric tensor are see in
this context as charged fields under the Weyl gauge connection. The gauge
nature of conformal hydrodynamics is emphasized and a charge for the Weyl
connection is defined. A notion of local charge and current densities are
considered and a local charge conservation law is reached.
| [
{
"created": "Tue, 31 Oct 2017 20:40:22 GMT",
"version": "v1"
},
{
"created": "Sat, 26 May 2018 21:20:42 GMT",
"version": "v2"
}
] | 2018-05-29 | [
[
"Diles",
"Saulo",
""
]
] | This article is dedicated to the analysis of Weyl symmetry in the context of relativistic hydrodynamics. Here is discussed how this symmetry is properly implemented using the prescription of minimal coupling: $\partial\to \partial +\omega \mathcal{A}$. It is shown that this prescription has no problem to deal with curvature since it gives the correct expressions for the commutator of covariant derivatives. In the hydrodynamics the Weyl gauge connection emerges from the degrees of freedom of the fluid: it is a combination of the expansion and entropy gradient. The remaining degrees of the fluid and the metric tensor are see in this context as charged fields under the Weyl gauge connection. The gauge nature of conformal hydrodynamics is emphasized and a charge for the Weyl connection is defined. A notion of local charge and current densities are considered and a local charge conservation law is reached. |
1407.0469 | Suresh Nampuri Dr. | Arpan Bhattacharyya, S. Shajidul Haque, Vishnu Jejjala, Suresh
Nampuri, and Alvaro V\'eliz-Osorio | Attractive holographic $c$-functions | 13 pages, revised references and typographic modifications | JHEP 1411 (2014) 138 | 10.1007/JHEP11(2014)138 | WITS-CTP-141 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the attractor mechanism for extremal solutions in ${\cal N}=2$ gauged
supergravity, we construct a $c$-function that interpolates between the central
charges of theories at ultraviolet and infrared conformal fixed points
corresponding to anti-de Sitter geometries. The $c$-function we obtain is
couched purely in terms of bulk quantities and connects two different
dimensional CFTs at the stable conformal fixed points under the RG flow.
| [
{
"created": "Wed, 2 Jul 2014 07:07:48 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Jul 2014 08:40:24 GMT",
"version": "v2"
}
] | 2015-02-24 | [
[
"Bhattacharyya",
"Arpan",
""
],
[
"Haque",
"S. Shajidul",
""
],
[
"Jejjala",
"Vishnu",
""
],
[
"Nampuri",
"Suresh",
""
],
[
"Véliz-Osorio",
"Alvaro",
""
]
] | Using the attractor mechanism for extremal solutions in ${\cal N}=2$ gauged supergravity, we construct a $c$-function that interpolates between the central charges of theories at ultraviolet and infrared conformal fixed points corresponding to anti-de Sitter geometries. The $c$-function we obtain is couched purely in terms of bulk quantities and connects two different dimensional CFTs at the stable conformal fixed points under the RG flow. |
1109.2920 | Gordon Semenoff | Gordon W. Semenoff, Konstantin Zarembo | Holographic Schwinger Effect | 4 pages, 2 figures, To appear in Physical Review Letters | null | 10.1103/PhysRevLett.107.171601 | NSF-KITP-11-181; NORDITA-2011-73; Uppsala: UUITP-26/11 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study tunneling pair creation of W-Bosons by an external electric field on
the Coulomb branch of N=4 supersymmetric Yang-Mills theory. We use AdS/CFT
holography to find a generalization of Schwinger's formula for the pair
production rate to the strong coupling, planar limit which includes the
exchange of virtual massless particles to all orders. We find that the pair
creation formula has an upper critical electric field beyond which the process
is no longer exponentially suppressed. The value of the critical field is
identical to that which occurs in the Born-Infeld action of probe D3-branes in
the AdS5XS5 background.
| [
{
"created": "Tue, 13 Sep 2011 20:51:19 GMT",
"version": "v1"
}
] | 2015-05-30 | [
[
"Semenoff",
"Gordon W.",
""
],
[
"Zarembo",
"Konstantin",
""
]
] | We study tunneling pair creation of W-Bosons by an external electric field on the Coulomb branch of N=4 supersymmetric Yang-Mills theory. We use AdS/CFT holography to find a generalization of Schwinger's formula for the pair production rate to the strong coupling, planar limit which includes the exchange of virtual massless particles to all orders. We find that the pair creation formula has an upper critical electric field beyond which the process is no longer exponentially suppressed. The value of the critical field is identical to that which occurs in the Born-Infeld action of probe D3-branes in the AdS5XS5 background. |
1309.6325 | Ashok Thillaisundaram | T. Ashok (DAMTP, Cambridge) | Forced Fluid Dynamics from Gravity in Arbitrary Dimensions | 28 pages, 1 figure | null | 10.1007/JHEP03(2014)138 | null | hep-th gr-qc physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider long wavelength solutions to the Einstein-dilaton system with
negative cosmological constant which are dual, under the AdS/CFT
correspondence, to solutions of the conformal relativistic Navier-Stokes
equations with a dilaton-dependent forcing term. Certain forced fluid flows are
known to exhibit turbulence; holographic duals of forced fluid dynamics are
therefore of particular interest as they may aid efforts towards an explicit
model of holographic steady state turbulence. In recent work, Bhattacharyya et
al have constructed long wavelength asymptotically locally AdS_5 bulk
spacetimes with a slowly varying boundary dilaton field which are dual to
forced fluid flows on the 4-dimensional boundary. In this paper, we generalise
their work to arbitrary spacetime dimensions; we explicitly compute the dual
bulk metric, the fluid dynamical stress tensor and Lagrangian to second order
in a boundary derivative expansion.
| [
{
"created": "Tue, 24 Sep 2013 20:00:20 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Jan 2014 16:51:05 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Ashok",
"T.",
"",
"DAMTP, Cambridge"
]
] | We consider long wavelength solutions to the Einstein-dilaton system with negative cosmological constant which are dual, under the AdS/CFT correspondence, to solutions of the conformal relativistic Navier-Stokes equations with a dilaton-dependent forcing term. Certain forced fluid flows are known to exhibit turbulence; holographic duals of forced fluid dynamics are therefore of particular interest as they may aid efforts towards an explicit model of holographic steady state turbulence. In recent work, Bhattacharyya et al have constructed long wavelength asymptotically locally AdS_5 bulk spacetimes with a slowly varying boundary dilaton field which are dual to forced fluid flows on the 4-dimensional boundary. In this paper, we generalise their work to arbitrary spacetime dimensions; we explicitly compute the dual bulk metric, the fluid dynamical stress tensor and Lagrangian to second order in a boundary derivative expansion. |
hep-th/9211105 | Vitaly Tarasov | Vitaly Tarasov | Cyclic monodromy matrices for sl(n) trigonometric R-matrices | 34 pages | Commun.Math.Phys.158:459-484,1993 | 10.1007/BF02096799 | RIMS-903 | hep-th math.QA nlin.SI solv-int | null | The algebra of monodromy matrices for sl(n) trigonometric R-matrices is
studied. It is shown that a generic finite-dimensional polynomial irreducible
representation of this algebra is equivalent to a tensor product of
L-operators. Cocommutativity of representations is discussed. A special class
of representations - factorizable representations is introduced and
intertwiners for cocommuting factorizable representations are written through
the Boltzmann weights of the sl(n) chiral Potts model.
Let us consider an algebra generated by noncommutative entries of the matrix
$T(u)$ satisfying the famous bilinear relation originated from the quantum
inverse scattering method: $R(\la-\mu)T(\la)T(\mu)=T(\mu)T(\la) R(\la-\mu)$
where $R(\la)$ is R-matrix. For historical reasons this algebra is called the
algebra of monodromy matrices. If $\g$ is a simple finite-dimensional Lie
algebra and $R(\la)$ is $\g$-invariant R-matrix the algebra of monodromy
matrices after a proper specialization gives the Yangian $Y(\g)$ introduced by
Drinfeld. If $R(\la)$ is corresponding trigonometric R-matrix this algebra is
closely connected with $U_q(\g)$ and $U_q(\hat\g)$ at zero level. If $R(\la)$
is $sl(2)$ elliptic R-matrix the algebra of monodromy matrices gives rise to
Sklyanin's algebra.
In this paper we shall study algebras of monodromy matrices for $sl(n)$
trigonometric R-matrices at roots of 1. Finite-dimensional cyclic irreducible
polynomial representations and their intertwiners are discussed.
| [
{
"created": "Tue, 24 Nov 1992 11:47:44 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Dec 1992 07:43:06 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Tarasov",
"Vitaly",
""
]
] | The algebra of monodromy matrices for sl(n) trigonometric R-matrices is studied. It is shown that a generic finite-dimensional polynomial irreducible representation of this algebra is equivalent to a tensor product of L-operators. Cocommutativity of representations is discussed. A special class of representations - factorizable representations is introduced and intertwiners for cocommuting factorizable representations are written through the Boltzmann weights of the sl(n) chiral Potts model. Let us consider an algebra generated by noncommutative entries of the matrix $T(u)$ satisfying the famous bilinear relation originated from the quantum inverse scattering method: $R(\la-\mu)T(\la)T(\mu)=T(\mu)T(\la) R(\la-\mu)$ where $R(\la)$ is R-matrix. For historical reasons this algebra is called the algebra of monodromy matrices. If $\g$ is a simple finite-dimensional Lie algebra and $R(\la)$ is $\g$-invariant R-matrix the algebra of monodromy matrices after a proper specialization gives the Yangian $Y(\g)$ introduced by Drinfeld. If $R(\la)$ is corresponding trigonometric R-matrix this algebra is closely connected with $U_q(\g)$ and $U_q(\hat\g)$ at zero level. If $R(\la)$ is $sl(2)$ elliptic R-matrix the algebra of monodromy matrices gives rise to Sklyanin's algebra. In this paper we shall study algebras of monodromy matrices for $sl(n)$ trigonometric R-matrices at roots of 1. Finite-dimensional cyclic irreducible polynomial representations and their intertwiners are discussed. |
hep-th/0202136 | Carsten Van de Bruck | P. Brax, C. van de Bruck, A.C. Davis and C.S. Rhodes | Four--dimensional Gravity from Singular Spaces | 9 pages, LaTeX | Phys.Rev. D65 (2002) 121501 | 10.1103/PhysRevD.65.121501 | DAMTP-2002-25, t02/009 | hep-th | null | The modification to four--dimensional Einstein gravity at low energy in two
brane models is investigated within supergravity in singular spaces. Using
perturbation theory around a static BPS background, we study the effective
four--dimensional gravitational theory, a scalar--tensor theory, and derive the
Brans--Dicke parameter when matter is present on the positive tension brane
only. We show there is an attractor mechanism towards general relativity in the
matter dominated era. The dynamics of the interbrane distance are discussed.
Finally, when matter lives on both branes, we find that there is a violation of
the equivalence principle whose magnitude is governed by the warping of the
extra dimension.
| [
{
"created": "Wed, 20 Feb 2002 19:17:56 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Brax",
"P.",
""
],
[
"van de Bruck",
"C.",
""
],
[
"Davis",
"A. C.",
""
],
[
"Rhodes",
"C. S.",
""
]
] | The modification to four--dimensional Einstein gravity at low energy in two brane models is investigated within supergravity in singular spaces. Using perturbation theory around a static BPS background, we study the effective four--dimensional gravitational theory, a scalar--tensor theory, and derive the Brans--Dicke parameter when matter is present on the positive tension brane only. We show there is an attractor mechanism towards general relativity in the matter dominated era. The dynamics of the interbrane distance are discussed. Finally, when matter lives on both branes, we find that there is a violation of the equivalence principle whose magnitude is governed by the warping of the extra dimension. |
2311.12100 | Carlos Mafra | Sitender Pratap Kashyap, Carlos R. Mafra, Mritunjay Verma, Luis
Alberto Ypanaqu\'e | A relation between massive and massless string tree amplitudes | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We uncover a relation between the scattering amplitudes of massive strings
and the $\alpha'$ expansion of the massless string amplitude at tree level.
More precisely, the n-point tree amplitude of n-1 massless and one massive
state is written as a linear combination of n+1 massless string amplitudes at
the $\alpha'^2$ order.
| [
{
"created": "Mon, 20 Nov 2023 19:00:01 GMT",
"version": "v1"
}
] | 2023-11-22 | [
[
"Kashyap",
"Sitender Pratap",
""
],
[
"Mafra",
"Carlos R.",
""
],
[
"Verma",
"Mritunjay",
""
],
[
"Ypanaqué",
"Luis Alberto",
""
]
] | We uncover a relation between the scattering amplitudes of massive strings and the $\alpha'$ expansion of the massless string amplitude at tree level. More precisely, the n-point tree amplitude of n-1 massless and one massive state is written as a linear combination of n+1 massless string amplitudes at the $\alpha'^2$ order. |
hep-th/0008132 | Sheikh-Jabbari Mohammad | I.F. Riad, M.M. Sheikh-Jabbari | Noncommutative QED and Anomalous Dipole Moments | 27 pages, several .ps and .eps figures, v3:typos in some formula
corrected, version appeared in JHEP | JHEP 0008:045,2000 | 10.1088/1126-6708/2000/08/045 | IC/2000/126 | hep-th hep-ph | null | We study QED on noncommutative spaces, NCQED. In particular we present the
detailed calculation for the noncommutative electron-photon vertex and show
that the Ward identity is satisfied. We discuss that in the noncommutative case
moving electron will show {\it electric} dipole effects. In addition, we work
out the electric and magnetic dipole moments up to one loop level. For the
magnetic moment we show that noncommutative electron has an intrinsic (spin
independent) magnetic moment.
| [
{
"created": "Thu, 17 Aug 2000 15:17:02 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Aug 2000 13:21:05 GMT",
"version": "v2"
},
{
"created": "Sat, 30 Sep 2000 09:30:42 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Riad",
"I. F.",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
]
] | We study QED on noncommutative spaces, NCQED. In particular we present the detailed calculation for the noncommutative electron-photon vertex and show that the Ward identity is satisfied. We discuss that in the noncommutative case moving electron will show {\it electric} dipole effects. In addition, we work out the electric and magnetic dipole moments up to one loop level. For the magnetic moment we show that noncommutative electron has an intrinsic (spin independent) magnetic moment. |
2103.07228 | Michele Arzano | Michele Arzano | Vacuum thermal effects in flat space-time from conformal quantum
mechanics | 14 pages, no figures | null | 10.1007/JHEP07(2021)003 | null | hep-th gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | The generators of radial conformal symmetries in Minkowski space-time can be
mapped to the generators of time evolution in conformal quantum mechanics.
Within this correspondence we show that in conformal quantum mechanics the
state associated to the inertial vacuum in Minkowski space-time has the
structure of a thermofield double. Such state is built from a bipartite "vacuum
state", the ground state of the generators of hyperbolic time evolution, which
cover only part of the time domain. When time evolution is restricted to a
finite time domain one obtains the temperature perceived by static diamond
observers in the Minkowski vacuum. When time evolution is determined by
dilations, covering only half of the time line, the temperature of the
thermofield double corresponds to the non-vanishing temperature perceived by
Milne observers whose proper time evolution is confined to the future cone
(Milne universe) of Minkowski space-time. The two pictures are related by a
conformal transformation on the real line. Our result provides a purely group
theoretical derivation of the Milne and diamond temperature and shows that the
fundamental ingredient for vacuum thermal effects is the presence of a horizon
rather than acceleration.
| [
{
"created": "Fri, 12 Mar 2021 12:12:42 GMT",
"version": "v1"
}
] | 2021-07-21 | [
[
"Arzano",
"Michele",
""
]
] | The generators of radial conformal symmetries in Minkowski space-time can be mapped to the generators of time evolution in conformal quantum mechanics. Within this correspondence we show that in conformal quantum mechanics the state associated to the inertial vacuum in Minkowski space-time has the structure of a thermofield double. Such state is built from a bipartite "vacuum state", the ground state of the generators of hyperbolic time evolution, which cover only part of the time domain. When time evolution is restricted to a finite time domain one obtains the temperature perceived by static diamond observers in the Minkowski vacuum. When time evolution is determined by dilations, covering only half of the time line, the temperature of the thermofield double corresponds to the non-vanishing temperature perceived by Milne observers whose proper time evolution is confined to the future cone (Milne universe) of Minkowski space-time. The two pictures are related by a conformal transformation on the real line. Our result provides a purely group theoretical derivation of the Milne and diamond temperature and shows that the fundamental ingredient for vacuum thermal effects is the presence of a horizon rather than acceleration. |
1709.03554 | Savdeep Sethi | Savdeep Sethi | Supersymmetry Breaking by Fluxes | 31 pages; LaTeX; references added; minor changes and more references
added | null | 10.1007/JHEP10(2018)022 | EFI-17-5 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Type II string theory and M-theory admit flux configurations that break
supersymmetry below the Kaluza-Klein scale. These backgrounds play a central
role in most models of the string landscape. I argue that the behavior of such
backgrounds at weak coupling is generically a rolling solution, not a static
space-time. Quantum corrections to the space-time potential are computed around
this classical time-dependent background. This is particularly important for
non-perturbative corrections. This change in perspective offers an explanation
for why there appear to be many effective field theory models that seemingly
evade the known no-go theorems forbidding de Sitter space-times. This has
interesting implications for type IIB string landscape models.
| [
{
"created": "Mon, 11 Sep 2017 19:18:25 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Jan 2018 22:34:10 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Sep 2018 19:14:29 GMT",
"version": "v3"
}
] | 2018-10-17 | [
[
"Sethi",
"Savdeep",
""
]
] | Type II string theory and M-theory admit flux configurations that break supersymmetry below the Kaluza-Klein scale. These backgrounds play a central role in most models of the string landscape. I argue that the behavior of such backgrounds at weak coupling is generically a rolling solution, not a static space-time. Quantum corrections to the space-time potential are computed around this classical time-dependent background. This is particularly important for non-perturbative corrections. This change in perspective offers an explanation for why there appear to be many effective field theory models that seemingly evade the known no-go theorems forbidding de Sitter space-times. This has interesting implications for type IIB string landscape models. |
1506.09089 | Andrea Cavagli\`a | Lorenzo Anselmetti, Diego Bombardelli, Andrea Cavagli\`a and Roberto
Tateo | 12 loops and triple wrapping in ABJM theory from integrability | 31 pages, 1 figure. A Mathematica notebook with a selection of
results is attached (please download the compressed file "Results.nb" listed
under "Other formats"). v2: typos corrected; more precise checks of the
results; an earlier incorrect version of the figure was replaced. Published
in JHEP | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Adapting a method recently proposed by C. Marboe and D. Volin for ${\cal
N}$=4 super-Yang-Mills, we develop an algorithm for a systematic weak coupling
expansion of the spectrum of anomalous dimensions in the $sl(2)$-like sector of
planar $\mathcal{N}$=6 super-Chern-Simons. The method relies on the Quantum
Spectral Curve formulation of the problem and the expansion is written in terms
of the interpolating function $h(\lambda)$, with coefficients expressible as
combinations of Euler-Zagier sums with alternating signs. We present explicit
results up to 12 loops (six nontrivial orders) for various twist L=1 and L=2
operators, corresponding to triple and double wrapping terms, respectively,
which are beyond the reach of the Asymptotic Bethe Ansatz as well as
L\"uscher's corrections. The algorithm works for generic values of L and S and
in principle can be used to compute arbitrary orders of the weak coupling
expansion. For the simplest operator with L=1 and spin S=1, the Pad\'e
extrapolation of the 12-loop result nicely agrees with the available
Thermodynamic Bethe Ansatz data in a relatively wide range of values of the
coupling. A Mathematica notebook with a selection of results is attached.
| [
{
"created": "Tue, 30 Jun 2015 13:54:53 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Nov 2015 21:53:02 GMT",
"version": "v2"
}
] | 2015-11-18 | [
[
"Anselmetti",
"Lorenzo",
""
],
[
"Bombardelli",
"Diego",
""
],
[
"Cavaglià",
"Andrea",
""
],
[
"Tateo",
"Roberto",
""
]
] | Adapting a method recently proposed by C. Marboe and D. Volin for ${\cal N}$=4 super-Yang-Mills, we develop an algorithm for a systematic weak coupling expansion of the spectrum of anomalous dimensions in the $sl(2)$-like sector of planar $\mathcal{N}$=6 super-Chern-Simons. The method relies on the Quantum Spectral Curve formulation of the problem and the expansion is written in terms of the interpolating function $h(\lambda)$, with coefficients expressible as combinations of Euler-Zagier sums with alternating signs. We present explicit results up to 12 loops (six nontrivial orders) for various twist L=1 and L=2 operators, corresponding to triple and double wrapping terms, respectively, which are beyond the reach of the Asymptotic Bethe Ansatz as well as L\"uscher's corrections. The algorithm works for generic values of L and S and in principle can be used to compute arbitrary orders of the weak coupling expansion. For the simplest operator with L=1 and spin S=1, the Pad\'e extrapolation of the 12-loop result nicely agrees with the available Thermodynamic Bethe Ansatz data in a relatively wide range of values of the coupling. A Mathematica notebook with a selection of results is attached. |
0912.3515 | Patrick Kerner | Martin Ammon, Johanna Erdmenger, Viviane Grass, Patrick Kerner, Andy
O'Bannon | On Holographic p-wave Superfluids with Back-reaction | 15 pages, 7 pdf files in 4 figures | Phys.Lett.B686:192-198,2010 | 10.1016/j.physletb.2010.02.021 | MPP-2009-215 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We numerically construct asymptotically Anti-de Sitter charged black hole
solutions of (4+1)-dimensional SU(2) Einstein-Yang-Mills theory that, for
sufficiently low temperature, develop vector hair. Via gauge-gravity duality,
these solutions describe a strongly-coupled conformal field theory at finite
temperature and density that undergoes a phase transition to a superfluid state
with spontaneously broken rotational symmetry (a p-wave superfluid state). The
bulk theory has a single free parameter, the ratio of the five-dimensional
gravitational constant to the Yang-Mills coupling, which we denote as alpha.
Previous analyses have shown that in the so-called probe limit, where alpha
goes to zero and hence the gauge fields are ignored in Einstein's equation, the
transition to the superfluid state is second order. We construct fully
back-reacted solutions, where alpha is finite and the gauge fields are included
in Einstein's equation, and find that for values of alpha above a critical
value alpha_c = 0.365 +- 0.001, the transition becomes first order.
| [
{
"created": "Thu, 17 Dec 2009 20:47:20 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Mar 2010 15:00:32 GMT",
"version": "v2"
}
] | 2010-05-12 | [
[
"Ammon",
"Martin",
""
],
[
"Erdmenger",
"Johanna",
""
],
[
"Grass",
"Viviane",
""
],
[
"Kerner",
"Patrick",
""
],
[
"O'Bannon",
"Andy",
""
]
] | We numerically construct asymptotically Anti-de Sitter charged black hole solutions of (4+1)-dimensional SU(2) Einstein-Yang-Mills theory that, for sufficiently low temperature, develop vector hair. Via gauge-gravity duality, these solutions describe a strongly-coupled conformal field theory at finite temperature and density that undergoes a phase transition to a superfluid state with spontaneously broken rotational symmetry (a p-wave superfluid state). The bulk theory has a single free parameter, the ratio of the five-dimensional gravitational constant to the Yang-Mills coupling, which we denote as alpha. Previous analyses have shown that in the so-called probe limit, where alpha goes to zero and hence the gauge fields are ignored in Einstein's equation, the transition to the superfluid state is second order. We construct fully back-reacted solutions, where alpha is finite and the gauge fields are included in Einstein's equation, and find that for values of alpha above a critical value alpha_c = 0.365 +- 0.001, the transition becomes first order. |
hep-th/0007024 | Boris Kors | Ralph Blumenhagen, Lars Goerlich, Boris Kors and Dieter Lust (Humboldt
U., Berlin) | Noncommutative Compactifications of Type I Strings on Tori with Magnetic
Background Flux | TeX harvmac, 25 pages, 5 figures | JHEP 0010:006,2000 | 10.1088/1126-6708/2000/10/006 | HUB-EP-00/27 | hep-th hep-ph | null | We construct six- and four-dimensional toroidal compactifications of the Type
I string with magnetic flux on the D-branes. The open strings in this
background probe a noncommutative internal geometry. Phenomenologically
appealing features such as chiral fermions and supersymmetry breaking in the
gauge sector are naturally realized by these vacua. We investigate the spectra
of such noncommutative string compactifications and in a bottom-up approach
discuss the possibility to obtain the standard or some GUT like model.
| [
{
"created": "Tue, 4 Jul 2000 12:36:25 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Blumenhagen",
"Ralph",
"",
"Humboldt\n U., Berlin"
],
[
"Goerlich",
"Lars",
"",
"Humboldt\n U., Berlin"
],
[
"Kors",
"Boris",
"",
"Humboldt\n U., Berlin"
],
[
"Lust",
"Dieter",
"",
"Humboldt\n U., Berlin"
]
] | We construct six- and four-dimensional toroidal compactifications of the Type I string with magnetic flux on the D-branes. The open strings in this background probe a noncommutative internal geometry. Phenomenologically appealing features such as chiral fermions and supersymmetry breaking in the gauge sector are naturally realized by these vacua. We investigate the spectra of such noncommutative string compactifications and in a bottom-up approach discuss the possibility to obtain the standard or some GUT like model. |
hep-th/9302005 | null | M. Lukin, A. Stern and I. Yakushin | Lagrangian and Hamiltonian Formalism on a Quantum Plane | null | J.Phys.A26:5115-5132,1993 | 10.1088/0305-4470/26/19/039 | null | hep-th | null | We examine the problem of defining Lagrangian and Hamiltonian mechanics for a
particle moving on a quantum plane $Q_{q,p}$. For Lagrangian mechanics, we
first define a tangent quantum plane $TQ_{q,p}$ spanned by noncommuting
particle coordinates and velocities. Using techniques similar to those of Wess
and Zumino, we construct two different differential calculi on $TQ_{q,p}$.
These two differential calculi can in principle give rise to two different
particle dynamics, starting from a single Lagrangian. For Hamiltonian
mechanics, we define a phase space $T^*Q_{q,p}$ spanned by noncommuting
particle coordinates and momenta. The commutation relations for the momenta can
be determined only after knowing their functional dependence on coordinates and
velocities.
Thus these commutation relations, as well as the differential calculus on
$T^*Q_{q,p}$, depend on the initial choice of Lagrangian. We obtain the
deformed Hamilton's equations of motion and the deformed Poisson brackets, and
their definitions also depend on our initial choice of Lagrangian. We
illustrate these ideas for two sample Lagrangians. The first system we examine
corresponds to that of a nonrelativistic particle in a scalar potential. The
other Lagrangian we consider is first order in time derivatives
| [
{
"created": "Mon, 1 Feb 1993 20:52:14 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Lukin",
"M.",
""
],
[
"Stern",
"A.",
""
],
[
"Yakushin",
"I.",
""
]
] | We examine the problem of defining Lagrangian and Hamiltonian mechanics for a particle moving on a quantum plane $Q_{q,p}$. For Lagrangian mechanics, we first define a tangent quantum plane $TQ_{q,p}$ spanned by noncommuting particle coordinates and velocities. Using techniques similar to those of Wess and Zumino, we construct two different differential calculi on $TQ_{q,p}$. These two differential calculi can in principle give rise to two different particle dynamics, starting from a single Lagrangian. For Hamiltonian mechanics, we define a phase space $T^*Q_{q,p}$ spanned by noncommuting particle coordinates and momenta. The commutation relations for the momenta can be determined only after knowing their functional dependence on coordinates and velocities. Thus these commutation relations, as well as the differential calculus on $T^*Q_{q,p}$, depend on the initial choice of Lagrangian. We obtain the deformed Hamilton's equations of motion and the deformed Poisson brackets, and their definitions also depend on our initial choice of Lagrangian. We illustrate these ideas for two sample Lagrangians. The first system we examine corresponds to that of a nonrelativistic particle in a scalar potential. The other Lagrangian we consider is first order in time derivatives |
hep-th/9411177 | Christian Schubert | D. Fliegner, P. Haberl, M.G. Schmidt, C. Schubert | An Improved Heat Kernel Expansion from Worldline Path Integrals | 13 pages, Plain TEX, no figures | Discourses Math.Appl.4:87-99,1995 | null | DESY-94-221, HD-THEP-94-26 | hep-th hep-ph | null | The one--loop effective action for the case of a massive scalar loop in the
background of both a scalar potential and an abelian or non--abelian gauge
field is written in a one--dimensional path integral representation. From this
the inverse mass expansion is obtained by Wick contractions using a suitable
Green function, which allows the computation of higher order coefficients. For
the scalar case, explicit results are presented up to order O(T**8) in the
proper time expansion. The relation to previous work is clarified.
| [
{
"created": "Wed, 23 Nov 1994 21:22:18 GMT",
"version": "v1"
}
] | 2011-04-15 | [
[
"Fliegner",
"D.",
""
],
[
"Haberl",
"P.",
""
],
[
"Schmidt",
"M. G.",
""
],
[
"Schubert",
"C.",
""
]
] | The one--loop effective action for the case of a massive scalar loop in the background of both a scalar potential and an abelian or non--abelian gauge field is written in a one--dimensional path integral representation. From this the inverse mass expansion is obtained by Wick contractions using a suitable Green function, which allows the computation of higher order coefficients. For the scalar case, explicit results are presented up to order O(T**8) in the proper time expansion. The relation to previous work is clarified. |
1912.06413 | Ashoke Sen | Arnab Priya Saha, Biswajit Sahoo and Ashoke Sen | Proof of the Classical Soft Graviton Theorem in D=4 | LaTeX, 54 pages; v2: typo corrected in eq.(5.9) | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Classical subleading soft graviton theorem in four space-time dimensions
determines the gravitational wave-form at late and early retarded time,
generated during a scattering or explosion, in terms of the four momenta of the
ingoing and outgoing objects. This result was `derived' earlier by taking the
classical limit of the quantum soft graviton theorem, and making some
assumptions about how to deal with the infrared divergences of the soft factor.
In this paper we give a direct proof of this result by analyzing the classical
equations of motion of gravity coupled to matter. We also extend the result to
the electromagnetic wave-form generated during scattering of charged particles,
and present a new conjecture on subsubleading corrections to the gravitational
wave-form at early and late retarded time.
| [
{
"created": "Fri, 13 Dec 2019 11:22:40 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Apr 2020 18:13:06 GMT",
"version": "v2"
}
] | 2020-04-27 | [
[
"Saha",
"Arnab Priya",
""
],
[
"Sahoo",
"Biswajit",
""
],
[
"Sen",
"Ashoke",
""
]
] | Classical subleading soft graviton theorem in four space-time dimensions determines the gravitational wave-form at late and early retarded time, generated during a scattering or explosion, in terms of the four momenta of the ingoing and outgoing objects. This result was `derived' earlier by taking the classical limit of the quantum soft graviton theorem, and making some assumptions about how to deal with the infrared divergences of the soft factor. In this paper we give a direct proof of this result by analyzing the classical equations of motion of gravity coupled to matter. We also extend the result to the electromagnetic wave-form generated during scattering of charged particles, and present a new conjecture on subsubleading corrections to the gravitational wave-form at early and late retarded time. |
1712.09675 | Tiago Mariz | J. Leite, T. Mariz, W. Serafim | Induced higher-derivative Lorentz-violating Chern-Simons term at finite
temperature | 17 pages, 3 figures | J.Phys. G40 (2013) 075003 | 10.1088/0954-3899/40/7/075003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we analyze the generation of the higher-derivative
Lorentz-violating Chern-Simons term at zero temperature and at finite
temperature. We use the method of derivative expansion and the Matsubara
formalism in order to consider the finite temperature effects. The results show
that at zero temperature the induced higher-derivative Chern-Simons term is
nonzero; in contrast, when the temperature reaches infinity, the coefficients
of the induced term vanish. In addition, we also briefly study the question of
large gauge invariance of this higher-derivative term as we as the conventional
Chern-Simons term. We compute the exact induced action for both terms at finite
temperature, however, in a particular gauge field background, and observe that
they are, in fact, invariant under large gauge transformation.
| [
{
"created": "Wed, 27 Dec 2017 20:34:45 GMT",
"version": "v1"
}
] | 2017-12-29 | [
[
"Leite",
"J.",
""
],
[
"Mariz",
"T.",
""
],
[
"Serafim",
"W.",
""
]
] | In this work, we analyze the generation of the higher-derivative Lorentz-violating Chern-Simons term at zero temperature and at finite temperature. We use the method of derivative expansion and the Matsubara formalism in order to consider the finite temperature effects. The results show that at zero temperature the induced higher-derivative Chern-Simons term is nonzero; in contrast, when the temperature reaches infinity, the coefficients of the induced term vanish. In addition, we also briefly study the question of large gauge invariance of this higher-derivative term as we as the conventional Chern-Simons term. We compute the exact induced action for both terms at finite temperature, however, in a particular gauge field background, and observe that they are, in fact, invariant under large gauge transformation. |
1902.08166 | Konstantinos Zoubos | Hector Dlamini and Konstantinos Zoubos | Marginal deformations and quasi-Hopf algebras | 38 pages, 2 figures, Mathematica notebook submitted. v2: Typos fixed,
references added | null | 10.1088/1751-8121/ab370f | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We establish the existence of a quasi-Hopf algebraic structure underlying the
Leigh-Strassler N=1 superconformal marginal deformations of the N=4
Super-Yang-Mills theory. The scalar-sector R-matrix of these theories, which is
related to their one-loop spin chain Hamiltonian, does not generically satisfy
the Quantum Yang-Baxter Equation. By constructing a Drinfeld twist which
relates this R-matrix to that of the N=4 SYM theory, but also produces a
non-trivial co-associator, we show that the generic Leigh-Strassler R-matrix
satisfies the quasi-Hopf version of the QYBE. We also use the twist to define a
suitable star product which directly relates the N=4 SYM superpotential to that
of the marginally deformed gauge theories. We expect our results to be relevant
to studies of integrability (and its breaking) in these theories, as well as to
provide useful input for supergravity solution-generating techniques.
| [
{
"created": "Thu, 21 Feb 2019 18:08:07 GMT",
"version": "v1"
},
{
"created": "Wed, 15 May 2019 15:31:21 GMT",
"version": "v2"
}
] | 2019-09-04 | [
[
"Dlamini",
"Hector",
""
],
[
"Zoubos",
"Konstantinos",
""
]
] | We establish the existence of a quasi-Hopf algebraic structure underlying the Leigh-Strassler N=1 superconformal marginal deformations of the N=4 Super-Yang-Mills theory. The scalar-sector R-matrix of these theories, which is related to their one-loop spin chain Hamiltonian, does not generically satisfy the Quantum Yang-Baxter Equation. By constructing a Drinfeld twist which relates this R-matrix to that of the N=4 SYM theory, but also produces a non-trivial co-associator, we show that the generic Leigh-Strassler R-matrix satisfies the quasi-Hopf version of the QYBE. We also use the twist to define a suitable star product which directly relates the N=4 SYM superpotential to that of the marginally deformed gauge theories. We expect our results to be relevant to studies of integrability (and its breaking) in these theories, as well as to provide useful input for supergravity solution-generating techniques. |
1809.10114 | John Ellis | John Ellis, Balakrishnan Nagaraj, Dimitri V. Nanopoulos, Keith A.
Olive | De Sitter Vacua in No-Scale Supergravity | 22 pages, 7 figures | null | 10.1007/JHEP11(2018)110 | KCL-PH-TH/2018-52, CERN-TH/2018-206, ACT-01-18, MI-TH-1889,
UMN-TH-3726/18, FTPI-MINN-18/15 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | No-scale supergravity is the appropriate general framework for low-energy
effective field theories derived from string theory. The simplest no-scale
K\"ahler potential with a single chiral field corresponds to a compactification
to flat Minkowski space with a single volume modulus, but generalizations to
single-field no-scale models with de Sitter vacua are also known. In this paper
we generalize these de Sitter constructions to two- and multi-field models of
the types occurring in string compactifications with more than one relevant
modulus. We discuss the conditions for stability of the de Sitter solutions and
holomorphy of the superpotential, and give examples whose superpotential
contains only integer powers of the chiral fields.
| [
{
"created": "Wed, 26 Sep 2018 16:51:19 GMT",
"version": "v1"
}
] | 2018-12-05 | [
[
"Ellis",
"John",
""
],
[
"Nagaraj",
"Balakrishnan",
""
],
[
"Nanopoulos",
"Dimitri V.",
""
],
[
"Olive",
"Keith A.",
""
]
] | No-scale supergravity is the appropriate general framework for low-energy effective field theories derived from string theory. The simplest no-scale K\"ahler potential with a single chiral field corresponds to a compactification to flat Minkowski space with a single volume modulus, but generalizations to single-field no-scale models with de Sitter vacua are also known. In this paper we generalize these de Sitter constructions to two- and multi-field models of the types occurring in string compactifications with more than one relevant modulus. We discuss the conditions for stability of the de Sitter solutions and holomorphy of the superpotential, and give examples whose superpotential contains only integer powers of the chiral fields. |
1903.04365 | Matteo Beccaria | Matteo Beccaria, Simone Giombi, Arkady A. Tseytlin | Correlators on non-supersymmetric Wilson line in N=4 SYM and
AdS$_2$/CFT$_1$ | 50 pages, 12 figures. v2: minor changes | null | 10.1007/JHEP05(2019)122 | PUPT-2583, Imperial-TP-AT-2019-01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Correlators of local operators inserted on a straight Wilson loop in a
conformal gauge theory have the structure of a one-dimensional "defect" CFT. As
was shown in arXiv:1706.00756, in the case of supersymmetric Wilson-Maldacena
loop in $\mathcal{N}=4$ SYM one can compute the strong-coupling contributions
to 4-point correlators of operator insertions by starting with the AdS$_5
\times S^5$ string action expanded near the AdS$_2$ minimal surface and
evaluating the corresponding AdS$_2$ Witten diagrams. We perform the analogous
computations in the non-supersymmetric case of the standard Wilson loop with no
coupling to the scalars. The corresponding non-supersymmetric "defect" CFT$_1$
has an unbroken $SO(6)$ global symmetry. The elementary bosonic operators (6
SYM scalars and 3 components of the SYM field strength) are dual respectively
to the $S^5$ embedding coordinates and AdS$_5$ coordinates transverse to the
minimal surface ending on the line at the boundary. The $SO(6)$ symmetry is
preserved provided the 5-sphere coordinates satisfy Neumann boundary conditions
(as opposed to Dirichlet in the supersymmetric case); one should then integrate
over the $S^5$. The massless $S^5$ fluctuations have logarithmic propagator,
corresponding to the boundary scalar operator having dimension $\Delta=
\frac{5}{\sqrt\lambda} + \ldots$ at strong coupling. The resulting functions of
1d cross-ratio in the 4-point functions have a more complicated structure than
in the supersymmetric case, involving polylogs (Li$_3$ and Li$_2$). We also
discuss consistency with the operator product expansion which allows extracting
the leading strong coupling corrections to the anomalous dimensions of the
operators appearing in the intermediate channels.
| [
{
"created": "Mon, 11 Mar 2019 15:20:01 GMT",
"version": "v1"
},
{
"created": "Wed, 1 May 2019 16:18:04 GMT",
"version": "v2"
}
] | 2019-06-26 | [
[
"Beccaria",
"Matteo",
""
],
[
"Giombi",
"Simone",
""
],
[
"Tseytlin",
"Arkady A.",
""
]
] | Correlators of local operators inserted on a straight Wilson loop in a conformal gauge theory have the structure of a one-dimensional "defect" CFT. As was shown in arXiv:1706.00756, in the case of supersymmetric Wilson-Maldacena loop in $\mathcal{N}=4$ SYM one can compute the strong-coupling contributions to 4-point correlators of operator insertions by starting with the AdS$_5 \times S^5$ string action expanded near the AdS$_2$ minimal surface and evaluating the corresponding AdS$_2$ Witten diagrams. We perform the analogous computations in the non-supersymmetric case of the standard Wilson loop with no coupling to the scalars. The corresponding non-supersymmetric "defect" CFT$_1$ has an unbroken $SO(6)$ global symmetry. The elementary bosonic operators (6 SYM scalars and 3 components of the SYM field strength) are dual respectively to the $S^5$ embedding coordinates and AdS$_5$ coordinates transverse to the minimal surface ending on the line at the boundary. The $SO(6)$ symmetry is preserved provided the 5-sphere coordinates satisfy Neumann boundary conditions (as opposed to Dirichlet in the supersymmetric case); one should then integrate over the $S^5$. The massless $S^5$ fluctuations have logarithmic propagator, corresponding to the boundary scalar operator having dimension $\Delta= \frac{5}{\sqrt\lambda} + \ldots$ at strong coupling. The resulting functions of 1d cross-ratio in the 4-point functions have a more complicated structure than in the supersymmetric case, involving polylogs (Li$_3$ and Li$_2$). We also discuss consistency with the operator product expansion which allows extracting the leading strong coupling corrections to the anomalous dimensions of the operators appearing in the intermediate channels. |
hep-th/0209150 | Pere Talavera | Toni Mateos, Josep M. Pons and Pere Talavera | Supergravity Dual of Noncommutative N=1 SYM | 24 pages, latex, 4 figures; v2 references added, correction of a sign
mistake in the expression of the curvature | Nucl.Phys.B651:291-312,2003 | 10.1016/S0550-3213(02)01095-7 | null | hep-th | null | We construct the noncommutative deformation of the Maldacena-Nunez
supergravity solution. The background describes a bound state of D5-D3 branes
wrapping an S^2 inside a Calabi-Yau three-fold, and in the presence of a
magnetic B-field. The dual field theory in the IR is a N=1 U(N) SYM theory with
spatial noncommutativity. We show that, under certain conditions, the massive
Kaluza-Klein states can be decoupled and that UV/IR mixing seems to be visible
in our solution. By calculating the quark-antiquark potential via the Wilson
loop we show confinement in the IR and strong repulsion at closer distances. We
also compute the beta-function and show that it coincides with the recently
calculated commutative one.
| [
{
"created": "Wed, 18 Sep 2002 16:43:24 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Sep 2002 14:11:57 GMT",
"version": "v2"
}
] | 2011-03-22 | [
[
"Mateos",
"Toni",
""
],
[
"Pons",
"Josep M.",
""
],
[
"Talavera",
"Pere",
""
]
] | We construct the noncommutative deformation of the Maldacena-Nunez supergravity solution. The background describes a bound state of D5-D3 branes wrapping an S^2 inside a Calabi-Yau three-fold, and in the presence of a magnetic B-field. The dual field theory in the IR is a N=1 U(N) SYM theory with spatial noncommutativity. We show that, under certain conditions, the massive Kaluza-Klein states can be decoupled and that UV/IR mixing seems to be visible in our solution. By calculating the quark-antiquark potential via the Wilson loop we show confinement in the IR and strong repulsion at closer distances. We also compute the beta-function and show that it coincides with the recently calculated commutative one. |
1406.0748 | Herbert Weigel | N. Graham, M. Quandt, H. Weigel | On the Casimir Energy of Frequency Dependent Interactions | 19 pages, 2 figures, 2 tables | Phys. Rev. D 90, 085004 (2014) | 10.1103/PhysRevD.90.085004 | null | hep-th hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Vacuum polarization (or Casimir) energies can be straightforwardly computed
from scattering data for static field configurations whose interactions with
the fluctuating field are frequency independent. In effective theories,
however,such interactions are typically frequency dependent. As a consequence,
the relationship between scattering data and the Green's function is modified,
which may or may not induce additional contributions to the vacuum polarization
energy. We discuss several examples that naturally include frequency dependent
interactions: (i) scalar electrodynamics with a static background potential,
(ii) an effective theory that emerges from integrating out a heavy degree of
freedom, and (iii) quantum electrodynamics coupled to a frequency dependent
dielectric material. In the latter case, we argue that introducing dissipation
as required by the Kramers-Kronig relations requires the consideration of the
Casimir energy within a statistical mechanics formalism, while in the absence
of dissipation we can work entirely within field theory, using an alternative
formulation of the energy density.
| [
{
"created": "Tue, 3 Jun 2014 15:27:25 GMT",
"version": "v1"
}
] | 2014-10-08 | [
[
"Graham",
"N.",
""
],
[
"Quandt",
"M.",
""
],
[
"Weigel",
"H.",
""
]
] | Vacuum polarization (or Casimir) energies can be straightforwardly computed from scattering data for static field configurations whose interactions with the fluctuating field are frequency independent. In effective theories, however,such interactions are typically frequency dependent. As a consequence, the relationship between scattering data and the Green's function is modified, which may or may not induce additional contributions to the vacuum polarization energy. We discuss several examples that naturally include frequency dependent interactions: (i) scalar electrodynamics with a static background potential, (ii) an effective theory that emerges from integrating out a heavy degree of freedom, and (iii) quantum electrodynamics coupled to a frequency dependent dielectric material. In the latter case, we argue that introducing dissipation as required by the Kramers-Kronig relations requires the consideration of the Casimir energy within a statistical mechanics formalism, while in the absence of dissipation we can work entirely within field theory, using an alternative formulation of the energy density. |
0807.3319 | Michael Ambroso | Michael Ambroso, Volker Braun, Burt A. Ovrut | Two Higgs Pair Heterotic Vacua and Flavor-Changing Neutral Currents | 52 pages, 3 figures, 1 table, requires feynmf | JHEP0810:046,2008 | 10.1088/1126-6708/2008/10/046 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a vacuum of heterotic M-theory whose observable sector has the
MSSM spectrum with the addition of one extra pair of Higgs-Higgs conjugate
superfields. The quarks/leptons have a realistic mass hierarchy with a
naturally light first family. The double elliptic structure of the Calabi-Yau
compactification threefold leads to two ``stringy'' selection rules. These
classically disallow Yukawa couplings to the second Higgs pair and, hence,
Higgs mediated flavor-changing neutral currents. Such currents are induced in
higher-dimensional interactions, but are naturally suppressed. We show that our
results fit comfortably below the observed upper bounds on neutral
flavor-changing processes.
| [
{
"created": "Mon, 21 Jul 2008 18:34:53 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Jul 2008 04:44:14 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Ambroso",
"Michael",
""
],
[
"Braun",
"Volker",
""
],
[
"Ovrut",
"Burt A.",
""
]
] | We present a vacuum of heterotic M-theory whose observable sector has the MSSM spectrum with the addition of one extra pair of Higgs-Higgs conjugate superfields. The quarks/leptons have a realistic mass hierarchy with a naturally light first family. The double elliptic structure of the Calabi-Yau compactification threefold leads to two ``stringy'' selection rules. These classically disallow Yukawa couplings to the second Higgs pair and, hence, Higgs mediated flavor-changing neutral currents. Such currents are induced in higher-dimensional interactions, but are naturally suppressed. We show that our results fit comfortably below the observed upper bounds on neutral flavor-changing processes. |
hep-th/9402087 | Emili Elizalde | E. Elizalde, S.D. Odintsov, A. Romeo and Yu.I. Shil'nov | Schwinger-Dyson Equations and Chiral Symmetry Breaking in 2D Induced
Gravity | 9 pages, LaTeX file, 1 figure (appended, needs psfix), UB-ECM-PF 94/2 | Mod.Phys.Lett.A10:451-456,1995 | 10.1142/S021773239500048X | null | hep-th | null | The Schwinger-Dyson equations in the ladder approximation for $2D$ induced
gravity coupled to fermions on a flat background are obtained in conformal
gauge. A numerical study of these equations shows the possiblity of chiral
symmetry breaking in this theory.
| [
{
"created": "Tue, 15 Feb 1994 16:40:28 GMT",
"version": "v1"
}
] | 2009-09-25 | [
[
"Elizalde",
"E.",
""
],
[
"Odintsov",
"S. D.",
""
],
[
"Romeo",
"A.",
""
],
[
"Shil'nov",
"Yu. I.",
""
]
] | The Schwinger-Dyson equations in the ladder approximation for $2D$ induced gravity coupled to fermions on a flat background are obtained in conformal gauge. A numerical study of these equations shows the possiblity of chiral symmetry breaking in this theory. |
2101.06020 | Takashi Yanagisawa | Takashi Yanagisawa | Renormalization group theory of generalized multi-vertex sine-Gordon
model | 10 pages | Prog Theor Exp Phys (2021) | 10.1093/ptep/ptab026 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the renormalization group theory of generalized multi-vertex
sine-Gordon model by employing the dimensional regularization method and also
the Wilson renormalization group method. The vertex interaction is given by
$\cos(k_j\cdot \phi)$ where $k_j$ ($j=1,2,\cdots,M$) are momentum vectors and
$\phi$ is an $N$-component scalar field. The beta functions are calculated for
the sine-Gordon model with multi cosine interactions. The second-order
correction in the renormalization procedure is given by the two-point
scattering amplitude for tachyon scattering. We show that new vertex
interaction with momentum vector $k_{\ell}$ is generated from two vertex
interactions with vectors $k_i$ and $k_j$ when $k_i$ and $k_j$ meet the
condition $k_{\ell}=k_i\pm k_j$ called the triangle condition. Further
condition $k_i\cdot k_j=\pm 1/2$ is required within the dimensional
regularization method. The renormalization group equations form a set of closed
equations when $\{k_j\}$ form an equilateral triangle for $N=2$ or a regular
tetrahedron for $N=3$. The Wilsonian renormalization group method gives
qualitatively the same result for beta functions.
| [
{
"created": "Fri, 15 Jan 2021 09:08:45 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Feb 2021 14:11:31 GMT",
"version": "v2"
}
] | 2021-04-14 | [
[
"Yanagisawa",
"Takashi",
""
]
] | We investigate the renormalization group theory of generalized multi-vertex sine-Gordon model by employing the dimensional regularization method and also the Wilson renormalization group method. The vertex interaction is given by $\cos(k_j\cdot \phi)$ where $k_j$ ($j=1,2,\cdots,M$) are momentum vectors and $\phi$ is an $N$-component scalar field. The beta functions are calculated for the sine-Gordon model with multi cosine interactions. The second-order correction in the renormalization procedure is given by the two-point scattering amplitude for tachyon scattering. We show that new vertex interaction with momentum vector $k_{\ell}$ is generated from two vertex interactions with vectors $k_i$ and $k_j$ when $k_i$ and $k_j$ meet the condition $k_{\ell}=k_i\pm k_j$ called the triangle condition. Further condition $k_i\cdot k_j=\pm 1/2$ is required within the dimensional regularization method. The renormalization group equations form a set of closed equations when $\{k_j\}$ form an equilateral triangle for $N=2$ or a regular tetrahedron for $N=3$. The Wilsonian renormalization group method gives qualitatively the same result for beta functions. |
hep-th/0004034 | Kuzmichev | V. E. Kuzmichev, V. V. Kuzmichev (Bogolyubov Institute for Theoretical
Physics) | Three Field Dynamics in (1+1)-dimensions | 7 pages, 4 EPS figures | null | null | null | hep-th | null | In a model of nonlinear system of three scalar fields the problem on dynamics
of a massive particle moving in effective potential provided by two
relativistic fields is solving. The potentials for these fields are chosen in
the form of anti-Higgs and Higgs potentials. It is shown that the effective
potential has the shape of two-hump barrier localized in spacetime. It tends to
constant attractive potential at spacetime infinity. The magnitude of this
constant constituent is determined by the Higgs condensate. It is shown that
nonlinear equation of motion of a particle has the solutions which describe the
capture of a particle by the barrier and the scattering on the barrier.
| [
{
"created": "Thu, 6 Apr 2000 08:51:24 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kuzmichev",
"V. E.",
"",
"Bogolyubov Institute for Theoretical\n Physics"
],
[
"Kuzmichev",
"V. V.",
"",
"Bogolyubov Institute for Theoretical\n Physics"
]
] | In a model of nonlinear system of three scalar fields the problem on dynamics of a massive particle moving in effective potential provided by two relativistic fields is solving. The potentials for these fields are chosen in the form of anti-Higgs and Higgs potentials. It is shown that the effective potential has the shape of two-hump barrier localized in spacetime. It tends to constant attractive potential at spacetime infinity. The magnitude of this constant constituent is determined by the Higgs condensate. It is shown that nonlinear equation of motion of a particle has the solutions which describe the capture of a particle by the barrier and the scattering on the barrier. |
1910.10725 | Hajime Otsuka | Yoshinori Honma and Hajime Otsuka | F-theory Flux Vacua and Attractor Equations | 23 pages, 4 figures, v2:published version | null | null | KEK-TH-2160 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the vacuum structure of 4D effective theories of moduli fields in
spacetime compactifications with quantized background fluxes. Imposing the
no-scale structure for the volume deformations, we numerically investigate the
distributions of flux vacua of the effective potential in complex structure
moduli and axio-dilaton directions for two explicit examples in Type IIB string
theory and F-theory compactifications. It turns out that distributions of
non-supersymmetric flux vacua exhibit a non-increasing functional behavior of
several on-shell quantities with respect to the string coupling. We point out
that this phenomena can be deeply connected with a previously-reported possible
correspondence between the flux vacua in moduli stabilization problem and the
attractor mechanism in supergravity, and our explicit demonstration implies
that such a correspondence generically exist even in the framework of F-theory.
In particular, we confirm that the solutions of the effective potential we
explicitly evaluated in Type IIB and F-theory flux compactifications indeed
satisfy the generalized form of the attractor equations simultaneously.
| [
{
"created": "Wed, 23 Oct 2019 18:00:02 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Mar 2020 23:53:13 GMT",
"version": "v2"
}
] | 2020-04-01 | [
[
"Honma",
"Yoshinori",
""
],
[
"Otsuka",
"Hajime",
""
]
] | We examine the vacuum structure of 4D effective theories of moduli fields in spacetime compactifications with quantized background fluxes. Imposing the no-scale structure for the volume deformations, we numerically investigate the distributions of flux vacua of the effective potential in complex structure moduli and axio-dilaton directions for two explicit examples in Type IIB string theory and F-theory compactifications. It turns out that distributions of non-supersymmetric flux vacua exhibit a non-increasing functional behavior of several on-shell quantities with respect to the string coupling. We point out that this phenomena can be deeply connected with a previously-reported possible correspondence between the flux vacua in moduli stabilization problem and the attractor mechanism in supergravity, and our explicit demonstration implies that such a correspondence generically exist even in the framework of F-theory. In particular, we confirm that the solutions of the effective potential we explicitly evaluated in Type IIB and F-theory flux compactifications indeed satisfy the generalized form of the attractor equations simultaneously. |
1808.07760 | Vasudev Shyam | Vasudev Shyam | Finite Cutoff AdS$_{5}$ Holography and the Generalized Gradient Flow | 15 pages, no figures, references updated | J. High Energ. Phys. (2018) 2018: 86 | 10.1007/JHEP12(2018)086 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently proposed double trace deformations of large $N$ holographic CFTs in
four dimensions define a one parameter family of quantum field theories, which
are interpreted in the bulk dual as living on successive finite radius
hypersurfaces. The transformation of variables that turns the equation defining
the deformation of a four dimensional large $N$ CFT by such operators into the
expression for the radial ADM Hamiltonian in the bulk is found.
This prescription clarifies the role of various functions of background
fields that appear in the flow equation defining the deformed holographic CFT,
and also their relationship to the holographic anomaly.
The effect of these deformations can also be seen as triggering a generalized
gradient flow for the fields of the induced gravity theory obtained from
integrating out the fundamental fields of the holographic CFT. The potential
for this gradient flow is found to resemble the two derivative effective action
previously derived using holographic renormalization.
| [
{
"created": "Tue, 21 Aug 2018 22:36:14 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Aug 2018 11:22:50 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Sep 2018 13:02:36 GMT",
"version": "v3"
},
{
"created": "Thu, 6 Dec 2018 19:13:54 GMT",
"version": "v4"
}
] | 2018-12-20 | [
[
"Shyam",
"Vasudev",
""
]
] | Recently proposed double trace deformations of large $N$ holographic CFTs in four dimensions define a one parameter family of quantum field theories, which are interpreted in the bulk dual as living on successive finite radius hypersurfaces. The transformation of variables that turns the equation defining the deformation of a four dimensional large $N$ CFT by such operators into the expression for the radial ADM Hamiltonian in the bulk is found. This prescription clarifies the role of various functions of background fields that appear in the flow equation defining the deformed holographic CFT, and also their relationship to the holographic anomaly. The effect of these deformations can also be seen as triggering a generalized gradient flow for the fields of the induced gravity theory obtained from integrating out the fundamental fields of the holographic CFT. The potential for this gradient flow is found to resemble the two derivative effective action previously derived using holographic renormalization. |
2107.02210 | Andrei Mironov | A. Mironov, V. Mishnyakov, A. Morozov | Non-Abelian W-representation for GKM | 15 pages | Phys.Lett. B823 (2021) 136721 | 10.1016/j.physletb.2021.136721 | FIAN/TD-09/21; IITP/TH-13/21; ITEP/TH-16/21; MIPT/TH-12/21 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | $W$-representation is a miraculous possibility to define a non-perturbative
(exact) partition function as an exponential action of somehow integrated Ward
identities on unity. It is well known for numerous eigenvalue matrix models
when the relevant operators are of a kind of $W$-operators: for the Hermitian
matrix model with the Virasoro constraints, it is a $W_3$-like operator, and so
on. We extend this statement to the monomial generalized Kontsevich models
(GKM), where the new feature is the appearance of an ordered P-exponential for
the set of non-commuting operators of different gradings.
| [
{
"created": "Mon, 5 Jul 2021 18:27:16 GMT",
"version": "v1"
}
] | 2021-10-15 | [
[
"Mironov",
"A.",
""
],
[
"Mishnyakov",
"V.",
""
],
[
"Morozov",
"A.",
""
]
] | $W$-representation is a miraculous possibility to define a non-perturbative (exact) partition function as an exponential action of somehow integrated Ward identities on unity. It is well known for numerous eigenvalue matrix models when the relevant operators are of a kind of $W$-operators: for the Hermitian matrix model with the Virasoro constraints, it is a $W_3$-like operator, and so on. We extend this statement to the monomial generalized Kontsevich models (GKM), where the new feature is the appearance of an ordered P-exponential for the set of non-commuting operators of different gradings. |
1505.00716 | Sabrina Pasterski | Sabrina Pasterski | Asymptotic Symmetries and Electromagnetic Memory | 14 pages | null | 10.1007/JHEP09(2017)154 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent investigations into asymptotic symmetries of gauge theory and gravity
have illuminated connections between gauge field zero-mode sectors, the
corresponding soft factors, and their classically observable counterparts -- so
called "memories." Here we complete this triad for the case of large U(1) gauge
symmetries at null infinity.
| [
{
"created": "Mon, 4 May 2015 17:08:10 GMT",
"version": "v1"
}
] | 2019-10-25 | [
[
"Pasterski",
"Sabrina",
""
]
] | Recent investigations into asymptotic symmetries of gauge theory and gravity have illuminated connections between gauge field zero-mode sectors, the corresponding soft factors, and their classically observable counterparts -- so called "memories." Here we complete this triad for the case of large U(1) gauge symmetries at null infinity. |
0904.4883 | Reiji Yoshioka | Hiroshi Itoyama and Reiji Yoshioka | Orientifolded Matrices and Supersymmetries that Give Rise to Spacetime
Directional Asymmetry of Effective Interactions | 20 pages, 7 figures | Nucl.Phys.B823:254-268,2009 | 10.1016/j.nuclphysb.2009.08.008 | OCU-PHYS-313 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Effects of matrix orientifolding that preserves supersymmetries are
considered in the IIB matrix model with regard to its effective dynamics
generated for diagonal elements. Taking the case of maximal supersymmetries and
the long distance expansion of the one-loop effective action as well as cases
where the size of the matrices is small, we demonstrate that the directional
asymmetry of spacetime brought upon by this setup in fact leads to that of the
forces exerting on the spacetime points: in addition to the two-body attraction
between two points, there are attractions toward the four dimensional plate.
| [
{
"created": "Thu, 30 Apr 2009 16:39:50 GMT",
"version": "v1"
}
] | 2009-10-02 | [
[
"Itoyama",
"Hiroshi",
""
],
[
"Yoshioka",
"Reiji",
""
]
] | Effects of matrix orientifolding that preserves supersymmetries are considered in the IIB matrix model with regard to its effective dynamics generated for diagonal elements. Taking the case of maximal supersymmetries and the long distance expansion of the one-loop effective action as well as cases where the size of the matrices is small, we demonstrate that the directional asymmetry of spacetime brought upon by this setup in fact leads to that of the forces exerting on the spacetime points: in addition to the two-body attraction between two points, there are attractions toward the four dimensional plate. |
hep-th/0502186 | Justin David R. | Luis F. Alday, Justin R. David, Edi Gava, K.S. Narain | Structure constants of planar N =4 Yang Mills at one loop | 52 pages, 12 figures, Typos fixed, reference added | JHEP 0509:070,2005 | 10.1088/1126-6708/2005/09/070 | SPIN-05.06, ITP-05/08 | hep-th | null | We study structure constants of gauge invariant operators in planar N=4
Yang-Mills at one loop with the motivation of determining features of the
string dual of weak coupling Yang-Mills. We derive a simple renormalization
group invariant formula characterizing the corrections to structure constants
of any primary operator in the planar limit. Applying this to the scalar SO(6)
sector we find that the one loop corrections to structure constants of gauge
invariant operators is determined by the one loop anomalous dimension
Hamiltonian in this sector. We then evaluate the one loop corrections to
structure constants for scalars with arbitrary number of derivatives in a given
holomorphic direction. We find that the corrections can be characterized by
suitable derivatives on the four point tree function of a massless scalar with
quartic coupling. We show that individual diagrams violating conformal
invariance can be combined together to restore it using a linear inhomogeneous
partial differential equation satisfied by this function.
| [
{
"created": "Mon, 21 Feb 2005 17:30:59 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Jul 2005 18:03:27 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Alday",
"Luis F.",
""
],
[
"David",
"Justin R.",
""
],
[
"Gava",
"Edi",
""
],
[
"Narain",
"K. S.",
""
]
] | We study structure constants of gauge invariant operators in planar N=4 Yang-Mills at one loop with the motivation of determining features of the string dual of weak coupling Yang-Mills. We derive a simple renormalization group invariant formula characterizing the corrections to structure constants of any primary operator in the planar limit. Applying this to the scalar SO(6) sector we find that the one loop corrections to structure constants of gauge invariant operators is determined by the one loop anomalous dimension Hamiltonian in this sector. We then evaluate the one loop corrections to structure constants for scalars with arbitrary number of derivatives in a given holomorphic direction. We find that the corrections can be characterized by suitable derivatives on the four point tree function of a massless scalar with quartic coupling. We show that individual diagrams violating conformal invariance can be combined together to restore it using a linear inhomogeneous partial differential equation satisfied by this function. |
1501.00119 | Nistor Nicolaevici | Nistor Nicolaevici | Unruh effect without Rindler horizon | 49 pages, 12 figures | 2015 Class. Quantum Grav. 32 045013 | 10.1088/0264-9381/32/4/045013 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the Unruh effect for a massless scalar field in the two
dimensional Minkowski space in the presence of a uniformly accelerated perfect
mirror, with the trajectory of the mirror chosen in such a way that the mirror
completely masks the Rindler horizon from the space-time region of interest. We
find that the characteristic thermodynamical properties of the effect remain
unchanged, i.e. the response of a uniformly co-accelerated Unruh detector and
the distribution of the Rindler particles retain their thermal form. However,
since in this setup there are no unobserved degrees of freedom of the field the
thermal statistics of the Rindler particles is inconsistent with an initial
pure vacuum, which leads us to reconsider the problem for the more physical
case when the mirror is inertial in the past. In these conditions we find that
the distribution of the Rindler particles is non-thermal even in the limit of
infinite acceleration times, but an effective thermal statistics can be
recovered provided that one restricts to the expectation values of smeared
operators associated to finite norm Rindler states. We explain how the thermal
statistics in our problem can be understood in analogy with that in the
conventional version of the effect.
| [
{
"created": "Wed, 31 Dec 2014 12:19:04 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Feb 2015 10:50:39 GMT",
"version": "v2"
}
] | 2015-02-05 | [
[
"Nicolaevici",
"Nistor",
""
]
] | We investigate the Unruh effect for a massless scalar field in the two dimensional Minkowski space in the presence of a uniformly accelerated perfect mirror, with the trajectory of the mirror chosen in such a way that the mirror completely masks the Rindler horizon from the space-time region of interest. We find that the characteristic thermodynamical properties of the effect remain unchanged, i.e. the response of a uniformly co-accelerated Unruh detector and the distribution of the Rindler particles retain their thermal form. However, since in this setup there are no unobserved degrees of freedom of the field the thermal statistics of the Rindler particles is inconsistent with an initial pure vacuum, which leads us to reconsider the problem for the more physical case when the mirror is inertial in the past. In these conditions we find that the distribution of the Rindler particles is non-thermal even in the limit of infinite acceleration times, but an effective thermal statistics can be recovered provided that one restricts to the expectation values of smeared operators associated to finite norm Rindler states. We explain how the thermal statistics in our problem can be understood in analogy with that in the conventional version of the effect. |
1810.04189 | Konstantinos Siampos | Eftychia Sagkrioti, Konstantinos Sfetsos, Konstantinos Siampos | Weyl anomaly and the $C$-function in $\lambda$-deformed CFTs | 1+19 pages, Latex, v2: NPB version | Nucl.Phys. B938 (2019) 426-439 | 10.1016/j.nuclphysb.2018.11.024 | CERN-TH-2018-177 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For a general $\lambda$-deformation of current algebra CFTs we compute the
exact Weyl anomaly coefficient and the corresponding metric in the couplings
space geometry. By incorporating the exact $\beta$-function found in previous
works we show that the Weyl anomaly is in fact the exact Zamolodchikov's
$C$-function interpolating between exact CFTs occurring in the UV and in the
IR. We provide explicit examples with the anisotropic $SU(2)$ case presented in
detail. The anomalous dimension of the operator driving the deformation is also
computed in general. Agreement is found with special cases existing already in
the literature.
| [
{
"created": "Tue, 9 Oct 2018 18:02:20 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Dec 2018 16:59:45 GMT",
"version": "v2"
}
] | 2018-12-05 | [
[
"Sagkrioti",
"Eftychia",
""
],
[
"Sfetsos",
"Konstantinos",
""
],
[
"Siampos",
"Konstantinos",
""
]
] | For a general $\lambda$-deformation of current algebra CFTs we compute the exact Weyl anomaly coefficient and the corresponding metric in the couplings space geometry. By incorporating the exact $\beta$-function found in previous works we show that the Weyl anomaly is in fact the exact Zamolodchikov's $C$-function interpolating between exact CFTs occurring in the UV and in the IR. We provide explicit examples with the anisotropic $SU(2)$ case presented in detail. The anomalous dimension of the operator driving the deformation is also computed in general. Agreement is found with special cases existing already in the literature. |
0908.4314 | Jin Young Kim | Jin Young Kim | Stabilizing radion and dilaton with brane gas and flux | typos corrected, references added, comments on frame and cosmological
constant added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the dynamics of moduli fields in brane gas cosmology. By
calculating the effective potentials from brane gas and bulk RR field, we found
an attractor behavior that can fix both the radion and the dilaton. The
potentials for radion and dilaton show global minima that can provide the
stabilizing forces so that they can be stabilized dynamically. The effective
potential for the three-dimensional volume is runaway-type so that it can
inflate.
| [
{
"created": "Sat, 29 Aug 2009 03:07:27 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Jan 2010 08:39:47 GMT",
"version": "v2"
}
] | 2010-01-15 | [
[
"Kim",
"Jin Young",
""
]
] | We consider the dynamics of moduli fields in brane gas cosmology. By calculating the effective potentials from brane gas and bulk RR field, we found an attractor behavior that can fix both the radion and the dilaton. The potentials for radion and dilaton show global minima that can provide the stabilizing forces so that they can be stabilized dynamically. The effective potential for the three-dimensional volume is runaway-type so that it can inflate. |
1208.1769 | Daniele Dorigoni Dr | Aleksey Cherman and Daniele Dorigoni | Large N and Bosonization in Three Dimensions | 30 pages, 2 tables. v2 minor revisions, references added | null | 10.1007/JHEP10(2012)173 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Bosonization is normally thought of as a purely two-dimensional phenomenon,
and generic field theories with fermions in D>2 are not expected be describable
by local bosonic actions, except in some special cases. We point out that 3D
SU(N) gauge theories on R^{1,1} x S^{1}_{L} with adjoint fermions can be
bosonized in the large N limit. The key feature of such theories is that they
enjoy large N volume independence for arbitrary circle size L. A consequence of
this is a large N equivalence between these 3D gauge theories and certain 2D
gauge theories, which matches a set of correlation functions in the 3D theories
to corresponding observables in the 2D theories. As an example, we focus on a
3D SU(N) gauge theory with one flavor of adjoint Majorana fermions and derive
the large-N equivalent 2D gauge theory. The extra dimension is encoded in the
color degrees of freedom of the 2D theory. We then apply the technique of
non-Abelian bosonization to the 2D theory to obtain an equivalent local theory
written purely in terms of bosonic variables. Hence the bosonized version of
the large N three-dimensional theory turns out to live in two dimensions.
| [
{
"created": "Wed, 8 Aug 2012 20:02:19 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Aug 2012 15:57:46 GMT",
"version": "v2"
}
] | 2015-06-11 | [
[
"Cherman",
"Aleksey",
""
],
[
"Dorigoni",
"Daniele",
""
]
] | Bosonization is normally thought of as a purely two-dimensional phenomenon, and generic field theories with fermions in D>2 are not expected be describable by local bosonic actions, except in some special cases. We point out that 3D SU(N) gauge theories on R^{1,1} x S^{1}_{L} with adjoint fermions can be bosonized in the large N limit. The key feature of such theories is that they enjoy large N volume independence for arbitrary circle size L. A consequence of this is a large N equivalence between these 3D gauge theories and certain 2D gauge theories, which matches a set of correlation functions in the 3D theories to corresponding observables in the 2D theories. As an example, we focus on a 3D SU(N) gauge theory with one flavor of adjoint Majorana fermions and derive the large-N equivalent 2D gauge theory. The extra dimension is encoded in the color degrees of freedom of the 2D theory. We then apply the technique of non-Abelian bosonization to the 2D theory to obtain an equivalent local theory written purely in terms of bosonic variables. Hence the bosonized version of the large N three-dimensional theory turns out to live in two dimensions. |
0805.0806 | Federico Piazza | Fabio Costa and Federico Piazza | Modelling a Particle Detector in Field Theory | 13 pages, references added, final version | New J.Phys.11:113006,2009 | 10.1088/1367-2630/11/11/113006 | null | hep-th gr-qc hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Particle detector models allow to give an operational definition to the
particle content of a given quantum state of a field theory. The commonly
adopted Unruh-DeWitt type of detector is known to undergo temporary transitions
to excited states even when at rest and in the Minkowski vacuum. We argue that
real detectors do not feature this property, as the configuration "detector in
its ground state + vacuum of the field" is generally a stable bound state of
the underlying fundamental theory (e.g. the ground state-hydrogen atom in a
suitable QED with electrons and protons) in the non-accelerated case. As a
concrete example, we study a local relativistic field theory where a stable
particle can capture a light quantum and form a quasi-stable state. As
expected, to such a stable particle correspond energy eigenstates of the full
theory, as is shown explicitly by using a dressed particle formalism at first
order in perturbation theory. We derive an effective model of detector (at
rest) where the stable particle and the quasi-stable configurations correspond
to the two internal levels, "ground" and "excited", of the detector.
| [
{
"created": "Wed, 7 May 2008 19:43:09 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jun 2008 21:24:08 GMT",
"version": "v2"
},
{
"created": "Wed, 4 Nov 2009 15:27:25 GMT",
"version": "v3"
}
] | 2009-11-13 | [
[
"Costa",
"Fabio",
""
],
[
"Piazza",
"Federico",
""
]
] | Particle detector models allow to give an operational definition to the particle content of a given quantum state of a field theory. The commonly adopted Unruh-DeWitt type of detector is known to undergo temporary transitions to excited states even when at rest and in the Minkowski vacuum. We argue that real detectors do not feature this property, as the configuration "detector in its ground state + vacuum of the field" is generally a stable bound state of the underlying fundamental theory (e.g. the ground state-hydrogen atom in a suitable QED with electrons and protons) in the non-accelerated case. As a concrete example, we study a local relativistic field theory where a stable particle can capture a light quantum and form a quasi-stable state. As expected, to such a stable particle correspond energy eigenstates of the full theory, as is shown explicitly by using a dressed particle formalism at first order in perturbation theory. We derive an effective model of detector (at rest) where the stable particle and the quasi-stable configurations correspond to the two internal levels, "ground" and "excited", of the detector. |
2011.04669 | Sucheta Majumdar | Oscar Fuentealba, Marc Henneaux, Sucheta Majumdar, Javier Matulich and
Turmoli Neogi | Asymptotic structure of the Rarita-Schwinger theory in four spacetime
dimensions at spatial infinity | 33 pages, no figures, minor changes made in the text and some
equations simplified, this version matches the one published in JHEP | null | 10.1007/JHEP02(2021)031 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We investigate the asymptotic structure of the free Rarita-Schwinger theory
in four spacetime dimensions at spatial infinity in the Hamiltonian formalism.
We impose boundary conditions for the spin-3/2 field that are invariant under
an infinite-dimensional (abelian) algebra of non-trivial asymptotic fermionic
symmetries. The compatibility of this set of boundary conditions with the
invariance of the theory under Lorentz boosts requires the introduction of
boundary degrees of freedom in the Hamiltonian action, along the lines of
electromagnetism. These boundary degrees of freedom modify the symplectic
structure by a surface contribution appearing in addition to the standard bulk
piece. The Poincar\'e transformations have then well-defined (integrable,
finite) canonical generators. Moreover, improper fermionic gauge symmetries,
which are also well-defined canonical transformations, are further enlarged and
turn out to be parametrized by two independent angle-dependent spinor functions
at infinity, which lead to an infinite-dimensional fermionic algebra endowed
with a central charge. We extend next the analysis to the supersymmetric
spin-$(1,3/2)$ and spin-$(2,3/2)$ multiplets. First, we present the canonical
realization of the super-Poincar\'e algebra on the spin-$(1,3/2)$ multiplet,
which is shown to be consistently enhanced by the infinite-dimensional abelian
algebra of angle-dependent bosonic and fermionic improper gauge symmetries
associated with the electromagnetic and the Rarita-Schwinger fields,
respectively. A similar analysis of the spin-$(2,3/2)$ multiplet is then
carried out to obtain the canonical realization of the super-Poincar\'e
algebra, consistently enhanced by the abelian improper bosonic gauge
transformations of the spin-$2$ field (BMS supertranslations) and the abelian
improper fermionic gauge transformations of the spin-$3/2$ field.
| [
{
"created": "Mon, 9 Nov 2020 19:00:02 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Dec 2020 16:31:34 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Feb 2021 12:41:47 GMT",
"version": "v3"
}
] | 2021-02-24 | [
[
"Fuentealba",
"Oscar",
""
],
[
"Henneaux",
"Marc",
""
],
[
"Majumdar",
"Sucheta",
""
],
[
"Matulich",
"Javier",
""
],
[
"Neogi",
"Turmoli",
""
]
] | We investigate the asymptotic structure of the free Rarita-Schwinger theory in four spacetime dimensions at spatial infinity in the Hamiltonian formalism. We impose boundary conditions for the spin-3/2 field that are invariant under an infinite-dimensional (abelian) algebra of non-trivial asymptotic fermionic symmetries. The compatibility of this set of boundary conditions with the invariance of the theory under Lorentz boosts requires the introduction of boundary degrees of freedom in the Hamiltonian action, along the lines of electromagnetism. These boundary degrees of freedom modify the symplectic structure by a surface contribution appearing in addition to the standard bulk piece. The Poincar\'e transformations have then well-defined (integrable, finite) canonical generators. Moreover, improper fermionic gauge symmetries, which are also well-defined canonical transformations, are further enlarged and turn out to be parametrized by two independent angle-dependent spinor functions at infinity, which lead to an infinite-dimensional fermionic algebra endowed with a central charge. We extend next the analysis to the supersymmetric spin-$(1,3/2)$ and spin-$(2,3/2)$ multiplets. First, we present the canonical realization of the super-Poincar\'e algebra on the spin-$(1,3/2)$ multiplet, which is shown to be consistently enhanced by the infinite-dimensional abelian algebra of angle-dependent bosonic and fermionic improper gauge symmetries associated with the electromagnetic and the Rarita-Schwinger fields, respectively. A similar analysis of the spin-$(2,3/2)$ multiplet is then carried out to obtain the canonical realization of the super-Poincar\'e algebra, consistently enhanced by the abelian improper bosonic gauge transformations of the spin-$2$ field (BMS supertranslations) and the abelian improper fermionic gauge transformations of the spin-$3/2$ field. |
1405.7598 | Stepanyantz Konstantin | A.L.Kataev, K.V.Stepanyantz | The NSVZ beta-function in supersymmetric theories with different
regularizations and renormalization prescriptions | 11 pages | null | 10.1007/s11232-014-0233-3 | INR-TH-2014-012 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We briefly review the calculations of quantum corrections related with the
exact NSVZ $\beta$-function in ${\cal N}=1$ supersymmetric theories, paying
especial attention to the scheme dependence of the results. It is explained,
how the NSVZ relation is obtained for the renormalization group functions
defined in terms of the bare coupling constant if a theory is regularized by
higher derivatives. Also we describe, how to construct a special
renormalization prescription which gives the NSVZ relation for the
renormalization group functions defined in terms of the renormalized coupling
constant exactly in all orders for Abelian supersymmetric theories, regularized
by higher derivatives. The scheme dependence of the NSVZ $\beta$-function (for
the renormalization group functions defined in terms of the renormalized
coupling constant) is discussed in the non-Abelian case. It is shown that in
this case the NSVZ $\beta$-function leads to a certain scheme-independent
equality.
| [
{
"created": "Thu, 29 May 2014 16:01:42 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Kataev",
"A. L.",
""
],
[
"Stepanyantz",
"K. V.",
""
]
] | We briefly review the calculations of quantum corrections related with the exact NSVZ $\beta$-function in ${\cal N}=1$ supersymmetric theories, paying especial attention to the scheme dependence of the results. It is explained, how the NSVZ relation is obtained for the renormalization group functions defined in terms of the bare coupling constant if a theory is regularized by higher derivatives. Also we describe, how to construct a special renormalization prescription which gives the NSVZ relation for the renormalization group functions defined in terms of the renormalized coupling constant exactly in all orders for Abelian supersymmetric theories, regularized by higher derivatives. The scheme dependence of the NSVZ $\beta$-function (for the renormalization group functions defined in terms of the renormalized coupling constant) is discussed in the non-Abelian case. It is shown that in this case the NSVZ $\beta$-function leads to a certain scheme-independent equality. |
1907.05660 | Shota Fujiwara | Reona Arai, Shota Fujiwara, Yosuke Imamura, and Tatsuya Mori | Finite $N$ corrections to the superconformal index of orbifold quiver
gauge theories | 53 pages, 9 figures, v2:minor changes, references added | null | 10.1007/JHEP10(2019)243 | TIT/HEP-674 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the AdS/CFT correspondence for quiver gauge theories realized
on D3-branes put on abelian orbifolds by using the superconformal index. We
assume that on the gravity side the finite $N$ corrections of the index are
reproduced by D3-branes wrapped on three particular three-cycles in the
internal space ${\cal Y}$, the abelian orbifold of $\boldsymbol{S}^5$. We first
establish the relation between baryonic charges on the gauge theory side and
the D3-brane wrapping numbers and holonomies on D3-branes. Then we confirm our
proposal by comparing the results of localization for gauge theories and the
results on the AdS side including the contributions of D3-branes and excitation
on them for many examples. We only focus on the leading finite $N$ corrections
starting from $q^N$, and leave the sub-leading corrections starting at $q^{kN}$
($k\geq2$) as a task for the future. We find complete agreement for the leading
corrections in all examples.
| [
{
"created": "Fri, 12 Jul 2019 10:20:39 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Aug 2019 05:29:09 GMT",
"version": "v2"
}
] | 2020-01-08 | [
[
"Arai",
"Reona",
""
],
[
"Fujiwara",
"Shota",
""
],
[
"Imamura",
"Yosuke",
""
],
[
"Mori",
"Tatsuya",
""
]
] | We investigate the AdS/CFT correspondence for quiver gauge theories realized on D3-branes put on abelian orbifolds by using the superconformal index. We assume that on the gravity side the finite $N$ corrections of the index are reproduced by D3-branes wrapped on three particular three-cycles in the internal space ${\cal Y}$, the abelian orbifold of $\boldsymbol{S}^5$. We first establish the relation between baryonic charges on the gauge theory side and the D3-brane wrapping numbers and holonomies on D3-branes. Then we confirm our proposal by comparing the results of localization for gauge theories and the results on the AdS side including the contributions of D3-branes and excitation on them for many examples. We only focus on the leading finite $N$ corrections starting from $q^N$, and leave the sub-leading corrections starting at $q^{kN}$ ($k\geq2$) as a task for the future. We find complete agreement for the leading corrections in all examples. |
1311.4172 | Matthew Williams Ph.D. | M. Williams | Technically Natural Vacuum Energy at the Tip of a Supersymmetric
Teardrop | null | Phys. Rev. D 89, 086006 (2014) | 10.1103/PhysRevD.89.086006 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A minimal supersymmetric brane-world model is presented which has: i) zero
classical four-dimensional vacuum curvature, despite the large naive vacuum
energy due to contributions from Standard Model particles; ii) one-(bulk)-loop
quantum corrections to the vacuum energy with a size set by the radius of the
extra-dimensional spheroid. These corrections are technically natural because a
BPS-like relation between the brane tension and R-charge---which would have
preserved (half of) the bulk supersymmetry---is violated by the requirement
that the stabilizing R-symmetry gauge flux be quantized. The extra-dimensional
geometry is similar to previous rugby-ball geometries, but is simpler in that
there is only one brane and so fewer free parameters. Although the sign of the
renormalized vacuum energy ends up being the unphysical one for this model (in
the limit considered here, where the massive bulk loop is the leading
contribution), it serves as an illustrative example of the relevant physics.
| [
{
"created": "Sun, 17 Nov 2013 15:52:22 GMT",
"version": "v1"
}
] | 2014-04-23 | [
[
"Williams",
"M.",
""
]
] | A minimal supersymmetric brane-world model is presented which has: i) zero classical four-dimensional vacuum curvature, despite the large naive vacuum energy due to contributions from Standard Model particles; ii) one-(bulk)-loop quantum corrections to the vacuum energy with a size set by the radius of the extra-dimensional spheroid. These corrections are technically natural because a BPS-like relation between the brane tension and R-charge---which would have preserved (half of) the bulk supersymmetry---is violated by the requirement that the stabilizing R-symmetry gauge flux be quantized. The extra-dimensional geometry is similar to previous rugby-ball geometries, but is simpler in that there is only one brane and so fewer free parameters. Although the sign of the renormalized vacuum energy ends up being the unphysical one for this model (in the limit considered here, where the massive bulk loop is the leading contribution), it serves as an illustrative example of the relevant physics. |
1411.3585 | Daniele Dorigoni Dr | Daniele Dorigoni | An Introduction to Resurgence, Trans-Series and Alien Calculus | 48 pages, 7 figures; v2 typos fixed, references added, minor
corrections | null | 10.1016/j.aop.2019.167914 | DAMTP-2014-44 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In these notes we give an overview of different topics in resurgence theory
from a physics point of view, but with particular mathematical flavour. After a
short review of the standard Borel method for the resummation of asymptotic
series, we introduce the class of simple resurgent functions, explaining their
importance in physical problems. We define the Stokes automorphism and the
alien derivative and discuss these objects in concrete examples using the
notion of trans-series expansion. With all the tools introduced, we see how
resurgence and alien calculus allow us to extract non-perturbative physics from
perturbation theory. To conclude, we apply Morse theory to a toy model path
integral to understand why physical observables should be resurgent functions.
| [
{
"created": "Thu, 13 Nov 2014 15:49:52 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Jan 2015 12:53:07 GMT",
"version": "v2"
}
] | 2021-01-13 | [
[
"Dorigoni",
"Daniele",
""
]
] | In these notes we give an overview of different topics in resurgence theory from a physics point of view, but with particular mathematical flavour. After a short review of the standard Borel method for the resummation of asymptotic series, we introduce the class of simple resurgent functions, explaining their importance in physical problems. We define the Stokes automorphism and the alien derivative and discuss these objects in concrete examples using the notion of trans-series expansion. With all the tools introduced, we see how resurgence and alien calculus allow us to extract non-perturbative physics from perturbation theory. To conclude, we apply Morse theory to a toy model path integral to understand why physical observables should be resurgent functions. |
1907.13134 | {\AA}smund Folkestad | \r{A}smund Folkestad, Sa\v{s}o Grozdanov, Krishna Rajagopal, Wilke van
der Schee | Coupling Constant Corrections in a Holographic Model of Heavy Ion
Collisions with Nonzero Baryon Number Density | v2: 40 pages, 12 figures. Minor adjustments. Version appearing in
JHEP | JHEP 1912 (2019) 093 | 10.1007/JHEP12(2019)093 | MIT-CTP/5136 | hep-th hep-ph nucl-ex nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Sufficiently energetic collisions of heavy ions result in the formation of a
droplet of a strongly coupled liquid state of QCD matter known as quark-gluon
plasma. By using gauge-gravity duality (holography), a model of a rapidly
hydrodynamizing and thermalizing process like this can be constructed by
colliding sheets of energy density moving at the speed of light and tracking
the subsequent evolution. In this work, we consider the dual gravitational
description of such collisions in the most general bulk theory with a
four-derivative gravitational action containing a dynamical metric and a gauge
field in five dimensions. Introducing the bulk gauge field enables the analysis
of collisions of sheets which carry nonzero "baryon" number density in addition
to energy density. Introducing the four-derivative terms enables consideration
of such collisions in a gauge theory with finite gauge coupling, working
perturbatively in the inverse coupling. While the dynamics of energy and
momentum in the presence of perturbative inverse-coupling corrections has been
analyzed previously, here we are able to determine the effect of such finite
coupling corrections on the dynamics of the density of a conserved global
charge, which we take as a model for the dynamics of nonzero baryon number
density. In accordance with expectations, as the coupling is reduced we observe
that after the collisions less baryon density ends up stopped at mid-rapidity
and more of it ends up moving near the lightcone.
| [
{
"created": "Tue, 30 Jul 2019 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Dec 2019 13:07:41 GMT",
"version": "v2"
}
] | 2019-12-25 | [
[
"Folkestad",
"Åsmund",
""
],
[
"Grozdanov",
"Sašo",
""
],
[
"Rajagopal",
"Krishna",
""
],
[
"van der Schee",
"Wilke",
""
]
] | Sufficiently energetic collisions of heavy ions result in the formation of a droplet of a strongly coupled liquid state of QCD matter known as quark-gluon plasma. By using gauge-gravity duality (holography), a model of a rapidly hydrodynamizing and thermalizing process like this can be constructed by colliding sheets of energy density moving at the speed of light and tracking the subsequent evolution. In this work, we consider the dual gravitational description of such collisions in the most general bulk theory with a four-derivative gravitational action containing a dynamical metric and a gauge field in five dimensions. Introducing the bulk gauge field enables the analysis of collisions of sheets which carry nonzero "baryon" number density in addition to energy density. Introducing the four-derivative terms enables consideration of such collisions in a gauge theory with finite gauge coupling, working perturbatively in the inverse coupling. While the dynamics of energy and momentum in the presence of perturbative inverse-coupling corrections has been analyzed previously, here we are able to determine the effect of such finite coupling corrections on the dynamics of the density of a conserved global charge, which we take as a model for the dynamics of nonzero baryon number density. In accordance with expectations, as the coupling is reduced we observe that after the collisions less baryon density ends up stopped at mid-rapidity and more of it ends up moving near the lightcone. |
2311.04955 | Gerben Venken | Gerben Venken | Cosmological Phase Transitions and the Swampland | 16 pages including references | null | null | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I consider the Festina Lente Swampland bound and argue taking thermal
effects, as for instance occur during reheating, into account significantly
strengthens the implications of this bound. I argue that the confinement scale
should be higher than a scale proportional to the vacuum energy, while Festina
Lente without thermal effects only bounds the confinement scale to be above the
Hubble scale. For Higgsing of nonabelian gauge fields, I find that the
magnitude of the Higgs mass should be heavier than a bound proportional to the
Electroweak scale (or generally the scale set by the Higgs VEV). The measured
values of the Higgs in the SM satisfy the bound. A way to avoid the bound being
violated during inflation is to have a large number of species becoming light.
If one wants the inflationary scale to lie below the species scale in this
case, this bounds the inflationary scale to be $\ll 10^5$ GeV. These bounds
have phenomenological implications for BSM physics such as GUTs, suggesting for
example a weak or absent gravitational wave signature from the GUT Higgsing
phase transition.
| [
{
"created": "Wed, 8 Nov 2023 19:00:00 GMT",
"version": "v1"
}
] | 2023-11-10 | [
[
"Venken",
"Gerben",
""
]
] | I consider the Festina Lente Swampland bound and argue taking thermal effects, as for instance occur during reheating, into account significantly strengthens the implications of this bound. I argue that the confinement scale should be higher than a scale proportional to the vacuum energy, while Festina Lente without thermal effects only bounds the confinement scale to be above the Hubble scale. For Higgsing of nonabelian gauge fields, I find that the magnitude of the Higgs mass should be heavier than a bound proportional to the Electroweak scale (or generally the scale set by the Higgs VEV). The measured values of the Higgs in the SM satisfy the bound. A way to avoid the bound being violated during inflation is to have a large number of species becoming light. If one wants the inflationary scale to lie below the species scale in this case, this bounds the inflationary scale to be $\ll 10^5$ GeV. These bounds have phenomenological implications for BSM physics such as GUTs, suggesting for example a weak or absent gravitational wave signature from the GUT Higgsing phase transition. |
hep-th/9412108 | Peter Bouwknegt | Peter Bouwknegt, Andreas Ludwig and Kareljan Schoutens | Spinon basis for higher level SU(2) WZW models | 10 pages, plain TeX (with AMS-fonts option). Introduction expanded,
evidence for proposed spinon basis further clarified and some references
added | Phys.Lett. B359 (1995) 304 | 10.1016/0370-2693(95)01078-5 | USC-94/20, UCSB-TH-94, PUPT-1522 | hep-th | null | We propose a spinon basis for the integrable highest weight modules of
$\hsltw$ at levels $k\geq1$, and discuss the underlying Yangian symmetry.
Evaluating the characters in this spinon basis provides new quasi-particle type
expressions for the characters of these integrable modules, and explicitly
exhibits the structure of an RSOS times a Yangian part, known \eg from
$S$-matrix results. We briefly discuss generalizations to other groups and more
general conformal field theories.
| [
{
"created": "Mon, 12 Dec 1994 21:00:19 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Mar 1995 20:51:20 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Bouwknegt",
"Peter",
""
],
[
"Ludwig",
"Andreas",
""
],
[
"Schoutens",
"Kareljan",
""
]
] | We propose a spinon basis for the integrable highest weight modules of $\hsltw$ at levels $k\geq1$, and discuss the underlying Yangian symmetry. Evaluating the characters in this spinon basis provides new quasi-particle type expressions for the characters of these integrable modules, and explicitly exhibits the structure of an RSOS times a Yangian part, known \eg from $S$-matrix results. We briefly discuss generalizations to other groups and more general conformal field theories. |
2103.16984 | Timothy Adamo | Tim Adamo, Lionel Mason, Atul Sharma | Twistor sigma models for quaternionic geometry and graviton scattering | 44 pages, no figures. v2: various clarifications and references added | Adv.Theor.Math.Phys. 27: 623-681, 2023 | null | null | hep-th gr-qc math.AG math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reformulate the twistor construction for hyper- and quaternion-K\"ahler
manifolds, introducing new sigma models that compute scalar potentials for the
geometry. These sigma models have the twistor space of the quaternionic
manifold as their target and encode finite non-linear perturbations of the flat
structures. In the hyperk\"ahler case our twistor sigma models compute both
Plebanski fundamental forms (including the K\"ahler potential), while in the
quaternion-K\"ahler setting the twistor sigma model computes the K\"ahler
potential for the hyperk\"ahler structure on non-projective twistor space. In
four-dimensions, one of the models provides the generating functional of
tree-level MHV graviton scattering amplitudes; perturbations of the
hyperk\"ahler structure corresponding to positive helicity gravitons. The sigma
model's perturbation theory gives rise to a sum of tree diagrams observed
previously in the literature, and their summation via a matrix tree theorem
gives a first-principles derivation of Hodges' formula for MHV graviton
amplitudes directly from general relativity. We generalise the twistor sigma
model to higher-degree (defined in the first case with a cosmological
constant), giving a new generating principle for the full tree-level graviton
S-matrix.
| [
{
"created": "Wed, 31 Mar 2021 11:00:48 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jan 2022 15:18:42 GMT",
"version": "v2"
}
] | 2024-06-14 | [
[
"Adamo",
"Tim",
""
],
[
"Mason",
"Lionel",
""
],
[
"Sharma",
"Atul",
""
]
] | We reformulate the twistor construction for hyper- and quaternion-K\"ahler manifolds, introducing new sigma models that compute scalar potentials for the geometry. These sigma models have the twistor space of the quaternionic manifold as their target and encode finite non-linear perturbations of the flat structures. In the hyperk\"ahler case our twistor sigma models compute both Plebanski fundamental forms (including the K\"ahler potential), while in the quaternion-K\"ahler setting the twistor sigma model computes the K\"ahler potential for the hyperk\"ahler structure on non-projective twistor space. In four-dimensions, one of the models provides the generating functional of tree-level MHV graviton scattering amplitudes; perturbations of the hyperk\"ahler structure corresponding to positive helicity gravitons. The sigma model's perturbation theory gives rise to a sum of tree diagrams observed previously in the literature, and their summation via a matrix tree theorem gives a first-principles derivation of Hodges' formula for MHV graviton amplitudes directly from general relativity. We generalise the twistor sigma model to higher-degree (defined in the first case with a cosmological constant), giving a new generating principle for the full tree-level graviton S-matrix. |
hep-th/0309273 | James Dent | R. Arnowitt, J. Dent, and B. Dutta | Horava-Witten Cosmology | 8 pages, contribution to the proceedings of "String Phenomenology
2003" conference, Durham, UK, July 29-August 4 | null | null | null | hep-th astro-ph hep-ph | null | We consider the cosmology of the reduced 5D Horava-Witten M-Theory (HW) with
volume modulus and treating matter on the orbifold planes to first order. It is
seen that one can recover the FRW cosmology in the Hubble expansion era with
relativistic matter, but if a solution exist with non-relativistic (massive)
matter it must be non-static with a Hubble constant that depends on the fifth
dimension. (The same result holds when 5-branes are present.) This difficulty
is traced to the fact that in HW, the volume modulus couples to the bulk and
brane cosmological constants (so that the net 4D constant vanishes naturally).
This situation is contrasted with the Randall-Sundrum 1 model (which is here
treated without making the stiff potential approximation) where the radion
field does not couple to the cosmological constants (and so one must instead
fine tune the net constant to zero). One finds that non-relativistic matter is
accommodated there by changing the distance between the end branes.
| [
{
"created": "Tue, 30 Sep 2003 19:53:14 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Arnowitt",
"R.",
""
],
[
"Dent",
"J.",
""
],
[
"Dutta",
"B.",
""
]
] | We consider the cosmology of the reduced 5D Horava-Witten M-Theory (HW) with volume modulus and treating matter on the orbifold planes to first order. It is seen that one can recover the FRW cosmology in the Hubble expansion era with relativistic matter, but if a solution exist with non-relativistic (massive) matter it must be non-static with a Hubble constant that depends on the fifth dimension. (The same result holds when 5-branes are present.) This difficulty is traced to the fact that in HW, the volume modulus couples to the bulk and brane cosmological constants (so that the net 4D constant vanishes naturally). This situation is contrasted with the Randall-Sundrum 1 model (which is here treated without making the stiff potential approximation) where the radion field does not couple to the cosmological constants (and so one must instead fine tune the net constant to zero). One finds that non-relativistic matter is accommodated there by changing the distance between the end branes. |
hep-th/0306278 | Jose M. Figueroa-O'Farrill | Ali Chamseddine, Jos\'e Figueroa-O'Farrill and Wafic Sabra | Supergravity vacua and lorentzian Lie groups | 16 pages | null | null | CAMS/03-05, EMPG-03-11 | hep-th | null | We classify maximally supersymmetric backgrounds (vacua) of chiral (1,0) and
(2,0) supergravities in six dimensions and, by reduction, also those of the
minimal N=2 supergravity in five dimensions. Up to R-symmetry, the (2,0) vacua
are in one-to-one correspondence with (1,0) vacua, and these in turn are
locally isometric to Lie groups admitting a bi-invariant lorentzian metric with
anti-selfdual parallelising torsion, which we classify. We then show that the
five-dimensional vacua are homogeneous spaces arising canonically as the spaces
of right cosets of spacelike one-parameter subgroups.
| [
{
"created": "Fri, 27 Jun 2003 18:50:45 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Chamseddine",
"Ali",
""
],
[
"Figueroa-O'Farrill",
"José",
""
],
[
"Sabra",
"Wafic",
""
]
] | We classify maximally supersymmetric backgrounds (vacua) of chiral (1,0) and (2,0) supergravities in six dimensions and, by reduction, also those of the minimal N=2 supergravity in five dimensions. Up to R-symmetry, the (2,0) vacua are in one-to-one correspondence with (1,0) vacua, and these in turn are locally isometric to Lie groups admitting a bi-invariant lorentzian metric with anti-selfdual parallelising torsion, which we classify. We then show that the five-dimensional vacua are homogeneous spaces arising canonically as the spaces of right cosets of spacelike one-parameter subgroups. |
1709.05517 | Osvaldo Chandia | Osvaldo Chandia, Brenno Carlini Vallilo | A superfield realization of the integrated vertex operator in an
$AdS_5\times S^5$ background | 22 pages, latex. Fixed discussion on gauge invariant vertex operators | null | 10.1007/JHEP10(2017)178 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The integrated massless vertex operator in an $AdS_5\times S^5$ background in
the pure spinor formalism is constructed in terms of superfields.
| [
{
"created": "Sat, 16 Sep 2017 14:16:41 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Sep 2017 14:39:17 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Sep 2020 20:06:13 GMT",
"version": "v3"
}
] | 2020-09-23 | [
[
"Chandia",
"Osvaldo",
""
],
[
"Vallilo",
"Brenno Carlini",
""
]
] | The integrated massless vertex operator in an $AdS_5\times S^5$ background in the pure spinor formalism is constructed in terms of superfields. |
hep-th/9206009 | null | Jin-Min Shen, Zheng-Mao Sheng, Zhong-Hau Wang | Quantum Liouville Theory On The Riemann Sphere With $n>3$ Punctures | 13 pages | Phys.Lett. B291 (1992) 53-62 | 10.1016/0370-2693(92)90118-N | null | hep-th | null | We have studied the quantum Liouville theory on the Riemann sphere with n>3
punctures. While considering the theory on the Riemann surfaces with n=4
punctures, the quantum theory near an arbitrary but fixed puncture can be
obtained via canonical quantization and an extra symmetry is explored. While
considering more than four distinguished punctures, we have found the exchange
relations of the monodromy parameters from which we can get a reasonable
quantum theory.
| [
{
"created": "Tue, 2 Jun 1992 14:35:02 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Shen",
"Jin-Min",
""
],
[
"Sheng",
"Zheng-Mao",
""
],
[
"Wang",
"Zhong-Hau",
""
]
] | We have studied the quantum Liouville theory on the Riemann sphere with n>3 punctures. While considering the theory on the Riemann surfaces with n=4 punctures, the quantum theory near an arbitrary but fixed puncture can be obtained via canonical quantization and an extra symmetry is explored. While considering more than four distinguished punctures, we have found the exchange relations of the monodromy parameters from which we can get a reasonable quantum theory. |
1707.02197 | Aurelio Romero-Berm\'udez | Antonio M. Garc\'ia-Garc\'ia, Bruno Loureiro, Aurelio
Romero-Berm\'udez and Masaki Tezuka | Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model | Published version. Minor typos | Phys. Rev. Lett. 120, 241603 (2018) | 10.1103/PhysRevLett.120.241603 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum chaos is one of the distinctive features of the Sachdev-Ye-Kitaev
(SYK) model, $N$ Majorana fermions in $0+1$ dimensions with infinite-range
two-body interactions, which is attracting a lot of interest as a toy model for
holography. Here we show analytically and numerically that a generalized SYK
model with an additional one-body infinite-range random interaction, which is a
relevant perturbation in the infrared, is still quantum chaotic and retains
most of its holographic features for a fixed value of the perturbation and
sufficiently high temperature. However a chaotic-integrable transition,
characterized by the vanishing of the Lyapunov exponent and spectral
correlations given by Poisson statistics, occurs at a temperature that depends
on the strength of the perturbation. We speculate about the gravity dual of
this transition.
| [
{
"created": "Fri, 7 Jul 2017 14:37:37 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jul 2017 15:03:34 GMT",
"version": "v2"
},
{
"created": "Sat, 5 May 2018 10:36:40 GMT",
"version": "v3"
},
{
"created": "Mon, 18 Jun 2018 19:50:14 GMT",
"version": "v4"
}
] | 2018-06-20 | [
[
"García-García",
"Antonio M.",
""
],
[
"Loureiro",
"Bruno",
""
],
[
"Romero-Bermúdez",
"Aurelio",
""
],
[
"Tezuka",
"Masaki",
""
]
] | Quantum chaos is one of the distinctive features of the Sachdev-Ye-Kitaev (SYK) model, $N$ Majorana fermions in $0+1$ dimensions with infinite-range two-body interactions, which is attracting a lot of interest as a toy model for holography. Here we show analytically and numerically that a generalized SYK model with an additional one-body infinite-range random interaction, which is a relevant perturbation in the infrared, is still quantum chaotic and retains most of its holographic features for a fixed value of the perturbation and sufficiently high temperature. However a chaotic-integrable transition, characterized by the vanishing of the Lyapunov exponent and spectral correlations given by Poisson statistics, occurs at a temperature that depends on the strength of the perturbation. We speculate about the gravity dual of this transition. |
1908.03035 | Dharmesh Jain | Dharmesh Jain | Twisted Indices of more 3d Quivers | 15 pages, 8 quiver diagrams; v2: References updated | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue the study of 3d ${\mathcal N}=2$ Chern-Simons (CS) quiver gauge
theories on $\Sigma_{\mathfrak{g}}\times S^1$. Using localization results, we
compute the twisted index of recently constructed SCFTs in the large rank
limit. According to AdS/CFT correspondence, this field theory computation gives
a prediction for two quantities corresponding to their holographic duals: the
volumes of certain 7-dimensional Sasaki-Einstein manifolds and the entropy of
black holes in $\text{AdS}_4\times Y_7$.
| [
{
"created": "Thu, 8 Aug 2019 12:23:24 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Sep 2019 12:01:36 GMT",
"version": "v2"
}
] | 2019-09-24 | [
[
"Jain",
"Dharmesh",
""
]
] | We continue the study of 3d ${\mathcal N}=2$ Chern-Simons (CS) quiver gauge theories on $\Sigma_{\mathfrak{g}}\times S^1$. Using localization results, we compute the twisted index of recently constructed SCFTs in the large rank limit. According to AdS/CFT correspondence, this field theory computation gives a prediction for two quantities corresponding to their holographic duals: the volumes of certain 7-dimensional Sasaki-Einstein manifolds and the entropy of black holes in $\text{AdS}_4\times Y_7$. |
1612.04378 | Tomasz Lukowski | Livia Ferro, Tomasz Lukowski, Andrea Orta, Matteo Parisi | Yangian Symmetry for the Tree Amplituhedron | 17 pages, 4 figures; v2: extended discussion of results, minor typos
corrected, version published in Journal of Physics A | null | 10.1088/1751-8121/aa7594 | LMU-ASC 63/16, QMUL-PH-16-21 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Tree-level scattering amplitudes in planar N=4 super Yang-Mills are known to
be Yangian-invariant. It has been shown that integrability allows to obtain a
general, explicit method to find such invariants. The uplifting of this result
to the amplituhedron construction has been an important open problem. In this
paper, with the help of methods proper to integrable theories, we successfully
fill this gap and clarify the meaning of Yangian invariance for the tree-level
amplituhedron. In particular, we construct amplituhedron volume forms from an
underlying spin chain. As a by-product of this construction, we also propose a
novel on-shell diagrammatics for the amplituhedron.
| [
{
"created": "Tue, 13 Dec 2016 21:00:03 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Jun 2017 15:41:47 GMT",
"version": "v2"
}
] | 2017-08-02 | [
[
"Ferro",
"Livia",
""
],
[
"Lukowski",
"Tomasz",
""
],
[
"Orta",
"Andrea",
""
],
[
"Parisi",
"Matteo",
""
]
] | Tree-level scattering amplitudes in planar N=4 super Yang-Mills are known to be Yangian-invariant. It has been shown that integrability allows to obtain a general, explicit method to find such invariants. The uplifting of this result to the amplituhedron construction has been an important open problem. In this paper, with the help of methods proper to integrable theories, we successfully fill this gap and clarify the meaning of Yangian invariance for the tree-level amplituhedron. In particular, we construct amplituhedron volume forms from an underlying spin chain. As a by-product of this construction, we also propose a novel on-shell diagrammatics for the amplituhedron. |
hep-th/0511058 | Daya Shankar Kulshreshtha | D.S. Kulshreshtha, Usha Kulshreshtha | D-Brane Actions as Constrained Systems | ``Plenary Talk'' presented by DSK at THEP-I, I.I.T. Roorkee, Roorkee
- 247667, India, March 16-20, 2005 (To appear in the Conference Proceedings) | null | null | null | hep-th | null | After a brief introduction to D-brane actions, the constrained dynamics and
the constraint quantization of some D-brane actions is considered.
| [
{
"created": "Fri, 4 Nov 2005 16:03:11 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kulshreshtha",
"D. S.",
""
],
[
"Kulshreshtha",
"Usha",
""
]
] | After a brief introduction to D-brane actions, the constrained dynamics and the constraint quantization of some D-brane actions is considered. |
1012.2107 | Dmitry Krotov | Dmitry Krotov, Alexander M. Polyakov | Infrared Sensitivity of Unstable Vacua | 23 pages, references added | Nucl.Phys.B 849 (2011) 410-432 | 10.1016/j.nuclphysb.2011.03.025 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discover that some unstable vacua have long memory. By that we mean that
even in the theories containing only massive particles, there are correllators
and expectation values which grow with time. We examine the cases of
instabilities caused by the constant electric fields, expanding and contracting
universes and, most importantly, the global de Sitter space. In the last case
the interaction leads to a remarkable UV/IR mixing and to a large back
reaction. This gives reasons to believe that the cosmological constant problem
could be resolved by the infrared physics.
| [
{
"created": "Thu, 9 Dec 2010 20:41:36 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Dec 2010 19:07:47 GMT",
"version": "v2"
},
{
"created": "Tue, 12 Apr 2011 00:28:05 GMT",
"version": "v3"
}
] | 2015-03-17 | [
[
"Krotov",
"Dmitry",
""
],
[
"Polyakov",
"Alexander M.",
""
]
] | We discover that some unstable vacua have long memory. By that we mean that even in the theories containing only massive particles, there are correllators and expectation values which grow with time. We examine the cases of instabilities caused by the constant electric fields, expanding and contracting universes and, most importantly, the global de Sitter space. In the last case the interaction leads to a remarkable UV/IR mixing and to a large back reaction. This gives reasons to believe that the cosmological constant problem could be resolved by the infrared physics. |
1803.03128 | Nikos Irges | Nikos Irges | Towards the effective action of Non-Perturbative Gauge-Higgs Unification
(or on RG flows near quantum phase transitions) | 6 pages, 1 Figure. Talk presented at the Workshop on the Standard
Model and Beyond, Sept. 2-10, 2017, Corfu | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We make a few general comments on the Renormalization Group flows in certain
Yang-Mills theories in the vicinity of phase transitions. We then present a
model in d=5 with non-periodic boundary conditions where a possible RG flow
starts from the trivial point and ends on a quantum phase transition. Near the
endpoint of the flow interesting comments can be made about the Higgs hierarchy
problem.
| [
{
"created": "Thu, 8 Mar 2018 14:47:56 GMT",
"version": "v1"
}
] | 2018-03-09 | [
[
"Irges",
"Nikos",
""
]
] | We make a few general comments on the Renormalization Group flows in certain Yang-Mills theories in the vicinity of phase transitions. We then present a model in d=5 with non-periodic boundary conditions where a possible RG flow starts from the trivial point and ends on a quantum phase transition. Near the endpoint of the flow interesting comments can be made about the Higgs hierarchy problem. |
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