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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0412206 | Ben Schofield | S.A. Abel and B.W. Schofield | One-loop Yukawas on Intersecting Branes | 48 pages, 9 figures; minor corrections, JHEP style | JHEP0506:072,2005 | 10.1088/1126-6708/2005/06/072 | IPPP/04/84, DCPT 04/168 | hep-th | null | We calculate Yukawa interactions at one-loop on intersecting D6 branes. We
demonstrate the non-renormalization theorem in supersymmetric configurations,
and show how Yukawa beta functions may be extracted. In addition to the usual
logarithmic running, we find the power-law dependence on the infra-red cut-off
associated with Kaluza-Klein modes. Our results may also be used to evaluate
coupling renormalization in non-supersymmetric cases.
| [
{
"created": "Fri, 17 Dec 2004 20:57:44 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jan 2005 23:28:05 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Abel",
"S. A.",
""
],
[
"Schofield",
"B. W.",
""
]
] | We calculate Yukawa interactions at one-loop on intersecting D6 branes. We demonstrate the non-renormalization theorem in supersymmetric configurations, and show how Yukawa beta functions may be extracted. In addition to the usual logarithmic running, we find the power-law dependence on the infra-red cut-off associated with Kaluza-Klein modes. Our results may also be used to evaluate coupling renormalization in non-supersymmetric cases. |
hep-th/0301072 | Bin Wang | Bin Wang, Li-Hui Xue, Xinmin Zhang and W-Y. P. Hwang | Modification to the power spectrum in the brane world inflation driven
by the bulk inflaton | replaced with the revised version, accepted for publication in PRD | Phys.Rev. D67 (2003) 123519 | 10.1103/PhysRevD.67.123519 | null | hep-th | null | We compute the cosmological perturbations generated in the brane world
inflation driven by the bulk inflaton. Different from the model that the
inflation is a brane effect, we exhibit the modification of the power spectrum
of scalar perturbations due to the existence of the fifth dimension. With the
change of the initial vacuum, we investigate the dependence of the correction
of the power spectrum on the choice of the vacuum.
| [
{
"created": "Sun, 12 Jan 2003 05:09:06 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Apr 2003 01:16:55 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Wang",
"Bin",
""
],
[
"Xue",
"Li-Hui",
""
],
[
"Zhang",
"Xinmin",
""
],
[
"Hwang",
"W-Y. P.",
""
]
] | We compute the cosmological perturbations generated in the brane world inflation driven by the bulk inflaton. Different from the model that the inflation is a brane effect, we exhibit the modification of the power spectrum of scalar perturbations due to the existence of the fifth dimension. With the change of the initial vacuum, we investigate the dependence of the correction of the power spectrum on the choice of the vacuum. |
hep-th/9408086 | Omar Foda | Omar Foda and Yas-Hiro Quano | Virasoro character identities from the Andrews--Bailey construction | 22 pages. Expanded version with new results | Int.J.Mod.Phys. A12 (1997) 1651-1676 | 10.1142/S0217751X97001110 | Univ. Melbourne 26 | hep-th math.QA | null | We prove $q$-series identities between bosonic and fermionic representations
of certain Virasoro characters. These identities include some of the
conjectures made by the Stony Brook group as special cases. Our method is a
direct application of Andrews' extensions of Bailey's lemma to recently
obtained polynomial identities.
| [
{
"created": "Tue, 16 Aug 1994 02:55:11 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Aug 1994 04:29:33 GMT",
"version": "v2"
},
{
"created": "Wed, 31 Aug 1994 06:55:23 GMT",
"version": "v3"
}
] | 2016-09-06 | [
[
"Foda",
"Omar",
""
],
[
"Quano",
"Yas-Hiro",
""
]
] | We prove $q$-series identities between bosonic and fermionic representations of certain Virasoro characters. These identities include some of the conjectures made by the Stony Brook group as special cases. Our method is a direct application of Andrews' extensions of Bailey's lemma to recently obtained polynomial identities. |
2206.06352 | John Gardiner | John G. Gardiner | Null states from large superpositions of two-sided black holes | 22 pages, 7 figures | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | A standard insight of the AdS/CFT correspondence is that some aspects of the
geometry of a bulk state are encoded in the entanglement structure of its dual
boundary state. As entanglement is not a linear quantum observable, this means
that geometry in a quantum theory of gravity should likewise not be a linear
observable. This allows for linear dependencies between states with distinct
geometries. We explore linear dependencies between certain states with simple
geometric duals: states made up of $n$ copies of a thermofield double state and
the states obtained from this one by permuting the $n$ right hand sides. There
are $n!$ such states, all dual to distinct geometries. We derive expressions
for the maximum fidelity between one such state and a linear combination of the
others, and see that this fidelity approaches 1 as the number $n$ of black
holes increases. We also consider the possibility of obtaining a single
thermofield double state as the partial trace of a superposition of states
whose topology does not connect the two untraced sides. We derive lower bounds
for the fidelity between the thermofield double state and such partial traces
and comment on the conceptual implications of the existence of such states.
| [
{
"created": "Mon, 13 Jun 2022 17:49:48 GMT",
"version": "v1"
}
] | 2022-06-14 | [
[
"Gardiner",
"John G.",
""
]
] | A standard insight of the AdS/CFT correspondence is that some aspects of the geometry of a bulk state are encoded in the entanglement structure of its dual boundary state. As entanglement is not a linear quantum observable, this means that geometry in a quantum theory of gravity should likewise not be a linear observable. This allows for linear dependencies between states with distinct geometries. We explore linear dependencies between certain states with simple geometric duals: states made up of $n$ copies of a thermofield double state and the states obtained from this one by permuting the $n$ right hand sides. There are $n!$ such states, all dual to distinct geometries. We derive expressions for the maximum fidelity between one such state and a linear combination of the others, and see that this fidelity approaches 1 as the number $n$ of black holes increases. We also consider the possibility of obtaining a single thermofield double state as the partial trace of a superposition of states whose topology does not connect the two untraced sides. We derive lower bounds for the fidelity between the thermofield double state and such partial traces and comment on the conceptual implications of the existence of such states. |
hep-th/9508080 | Wai Ming Koo | C. Ahn, W.M.Koo | Boundary Yang-Baxter equation in the RSOS/SOS representation | 30 pages, 5 figures, uses Latex with eepic.sty and epic.sty. Paper
substantially expanded; section on SOS model is revised and a new section on
the Bethe ansatz equation is added | null | 10.1016/0550-3213(96)00160-5 | SNUTP-95-080, EWHA-TH-006 | hep-th cond-mat | null | We construct and solve the boundary Yang-Baxter equation in the RSOS/SOS
representation. We find two classes of trigonometric solutions; diagonal and
non-diagonal. As a lattice model, these two classes of solutions correspond to
RSOS/SOS models with fixed and free boundary spins respectively. Applied to
(1+1)-dimenional quantum field theory, these solutions give the boundary
scattering amplitudes of the particles. For the diagonal solution, we propose
an algebraic Bethe ansatz method to diagonalize the SOS-type transfer matrix
with boundary and obtain the Bethe ansatz equations.
| [
{
"created": "Thu, 17 Aug 1995 06:59:17 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Mar 1996 07:44:11 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Ahn",
"C.",
""
],
[
"Koo",
"W. M.",
""
]
] | We construct and solve the boundary Yang-Baxter equation in the RSOS/SOS representation. We find two classes of trigonometric solutions; diagonal and non-diagonal. As a lattice model, these two classes of solutions correspond to RSOS/SOS models with fixed and free boundary spins respectively. Applied to (1+1)-dimenional quantum field theory, these solutions give the boundary scattering amplitudes of the particles. For the diagonal solution, we propose an algebraic Bethe ansatz method to diagonalize the SOS-type transfer matrix with boundary and obtain the Bethe ansatz equations. |
hep-th/9407106 | Ken Intriligator | Ken Intriligator | ``Integrating in'' and exact superpotentials in 4d | 10 pages, RU-94-57 | Phys.Lett.B336:409-414,1994 | 10.1016/0370-2693(94)90552-5 | null | hep-th | null | We discuss integrating out matter fields and integrating in matter fields in
four dimensional supersymmetric gauge theories. Highly nontrivial exact
superpotentials can be easily obtained by starting from a known theory and
integrating in matter.
| [
{
"created": "Mon, 18 Jul 1994 13:20:36 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Intriligator",
"Ken",
""
]
] | We discuss integrating out matter fields and integrating in matter fields in four dimensional supersymmetric gauge theories. Highly nontrivial exact superpotentials can be easily obtained by starting from a known theory and integrating in matter. |
hep-th/0007116 | Galen M. Sotkov | J.F. Gomes, E. P. Gueuvoghlanian, G.M. Sotkov and A.H. Zimerman | T-duality of axial and vector dyonic integrable models | 20 pages, latex, no figures,improvments in the text of Sects.1,2 and
6;typos corrected,references added, to appear in Ann. of Physics (NY) | Annals Phys. 289 (2001) 232-250 | 10.1006/aphy.2000.6130 | null | hep-th nlin.SI | null | A general construction of affine Non Abelian (NA) - Toda models in terms of
axial and vector gauged two loop WZNW model is discussed. They represent {\it
integrable perturbations} of the conformal $\sigma$-models (with tachyons
included) describing (charged) black hole type string backgrounds. We study the
{\it off-critical} T-duality between certain families of axial and vector type
of integrable models for the case of affine NA- Toda theories with one global
U(1) symmetry. In particular we find the Lie algebraic condition defining a
subclass of {\it T-selfdual} torsionless NA Toda models and their zero
curvature representation.
| [
{
"created": "Fri, 14 Jul 2000 21:01:52 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Aug 2000 12:04:23 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Jan 2001 18:41:25 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Gomes",
"J. F.",
""
],
[
"Gueuvoghlanian",
"E. P.",
""
],
[
"Sotkov",
"G. M.",
""
],
[
"Zimerman",
"A. H.",
""
]
] | A general construction of affine Non Abelian (NA) - Toda models in terms of axial and vector gauged two loop WZNW model is discussed. They represent {\it integrable perturbations} of the conformal $\sigma$-models (with tachyons included) describing (charged) black hole type string backgrounds. We study the {\it off-critical} T-duality between certain families of axial and vector type of integrable models for the case of affine NA- Toda theories with one global U(1) symmetry. In particular we find the Lie algebraic condition defining a subclass of {\it T-selfdual} torsionless NA Toda models and their zero curvature representation. |
1807.06807 | Akbar Jahan | A. Jahan and S. Heydarnezhad | Vacuum Persistence Amplitude and Gravitational Potential in $f(R)$
Gravity | null | Mod. Phys. Lett. A33 (2018) 1850117 | 10.1142/S0217732318501171 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The source theory provides a straightforward way to obtain the Newton's
potential upon establishing the vacuum-to-vacuum transition amplitude in
quantized Einstein theory of gravity. Here, we use the same method to derive
the gravitational potential of two static point masses in $f(R)=R+aR^2$
gravity.
| [
{
"created": "Wed, 18 Jul 2018 07:40:55 GMT",
"version": "v1"
}
] | 2018-07-25 | [
[
"Jahan",
"A.",
""
],
[
"Heydarnezhad",
"S.",
""
]
] | The source theory provides a straightforward way to obtain the Newton's potential upon establishing the vacuum-to-vacuum transition amplitude in quantized Einstein theory of gravity. Here, we use the same method to derive the gravitational potential of two static point masses in $f(R)=R+aR^2$ gravity. |
1111.1163 | Troels Harmark | Jay Armas, Pawel Caputa and Troels Harmark | Domain Structure of Black Hole Space-Times with a Cosmological Constant | 45 pages, 14 figures. v2: Typos fixed, ref. added | Phys.Rev. D85 (2012) 084019 | 10.1103/PhysRevD.85.084019 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We generalize the domain structure for stationary black hole space-times to
include asymptotically de Sitter and Anti-de Sitter space-times. Given a set of
commuting Killing vector fields of a space-time the domain structure lives on
the submanifold of the orbit space on which at least one of the Killing vector
fields has zero norm. In general the domain structure provides topological and
geometrical invariants of black hole space-times that in specific cases have
proven to be a crucial part of a full characterization leading to uniqueness
theorems. In four and five dimensions the domain structure generalizes the rod
structure. We examine in detail the domain structure for four, five, six and
seven-dimensional black hole space-times including a very general class of
spherically symmetric and static black hole space-times as well as the exact
solutions for Kerr-(Anti)-de Sitter black holes. While for asymptotically
Anti-de Sitter space-times the domain structures resemble that of
asymptotically flat space-times, the domain structures of asymptotically de
Sitter space-times are shown to be compact. Finally, we find under certain
assumptions that the horizon topologies for four- and five-dimensional black
holes are restricted by our domain structure analysis.
| [
{
"created": "Fri, 4 Nov 2011 15:46:01 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jan 2012 15:18:09 GMT",
"version": "v2"
}
] | 2014-12-23 | [
[
"Armas",
"Jay",
""
],
[
"Caputa",
"Pawel",
""
],
[
"Harmark",
"Troels",
""
]
] | We generalize the domain structure for stationary black hole space-times to include asymptotically de Sitter and Anti-de Sitter space-times. Given a set of commuting Killing vector fields of a space-time the domain structure lives on the submanifold of the orbit space on which at least one of the Killing vector fields has zero norm. In general the domain structure provides topological and geometrical invariants of black hole space-times that in specific cases have proven to be a crucial part of a full characterization leading to uniqueness theorems. In four and five dimensions the domain structure generalizes the rod structure. We examine in detail the domain structure for four, five, six and seven-dimensional black hole space-times including a very general class of spherically symmetric and static black hole space-times as well as the exact solutions for Kerr-(Anti)-de Sitter black holes. While for asymptotically Anti-de Sitter space-times the domain structures resemble that of asymptotically flat space-times, the domain structures of asymptotically de Sitter space-times are shown to be compact. Finally, we find under certain assumptions that the horizon topologies for four- and five-dimensional black holes are restricted by our domain structure analysis. |
1310.2698 | Glenn Barnich | Glenn Barnich and Pierre-Henry Lambert | Einstein-Yang-Mills theory : I. Asymptotic symmetries | 12 pages Latex file | Phys. Rev. D 88, 103006 (2013) | 10.1103/PhysRevD.88.103006 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Asymptotic symmetries of the Einstein-Yang-Mills system with or without
cosmological constant are explicitly worked out in a unified manner. In
agreement with a recent conjecture, one finds a Virasoro-Kac-Moody type algebra
not only in three dimensions but also in the four dimensional asymptotically
flat case.
| [
{
"created": "Thu, 10 Oct 2013 03:47:48 GMT",
"version": "v1"
}
] | 2013-11-20 | [
[
"Barnich",
"Glenn",
""
],
[
"Lambert",
"Pierre-Henry",
""
]
] | Asymptotic symmetries of the Einstein-Yang-Mills system with or without cosmological constant are explicitly worked out in a unified manner. In agreement with a recent conjecture, one finds a Virasoro-Kac-Moody type algebra not only in three dimensions but also in the four dimensional asymptotically flat case. |
hep-th/9701090 | Douglas A. Singleton | Douglas Singleton | Restrictions on Magnetic Charge from Quantized Angular Momentum | 9 pages ReVTeX | null | null | null | hep-th | null | Using the result that an electric charge - magnetic charge system carries an
internal field angular momentum of $e g / 4 \pi$ we arrive at two restrictions
on magnetic monopoles via the requirement of angular momentum quantization
and/or conservation. First we show that magnetic charge should scale in the
opposite way from electric charge. Second we show that free, unconfined
monopoles seem to be inconsistent when one considers a magnetic charge in the
vicinity of more than one electric charge.
| [
{
"created": "Sat, 18 Jan 1997 22:13:12 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Singleton",
"Douglas",
""
]
] | Using the result that an electric charge - magnetic charge system carries an internal field angular momentum of $e g / 4 \pi$ we arrive at two restrictions on magnetic monopoles via the requirement of angular momentum quantization and/or conservation. First we show that magnetic charge should scale in the opposite way from electric charge. Second we show that free, unconfined monopoles seem to be inconsistent when one considers a magnetic charge in the vicinity of more than one electric charge. |
hep-th/0405006 | Oscar J. C. Dias | Vitor Cardoso, Oscar J. C. Dias | Small Kerr-anti-de Sitter black holes are unstable | 7 pages, 1 figure, RevTeX4 | Phys.Rev. D70 (2004) 084011 | 10.1103/PhysRevD.70.084011 | null | hep-th astro-ph gr-qc | null | Superradiance in black hole spacetimes can trigger instabilities. Here we
show that, due to superradiance, small Kerr-anti-de Sitter black holes are
unstable. Our demonstration uses a matching procedure, in a long wavelength
approximation.
| [
{
"created": "Sat, 1 May 2004 00:08:27 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Cardoso",
"Vitor",
""
],
[
"Dias",
"Oscar J. C.",
""
]
] | Superradiance in black hole spacetimes can trigger instabilities. Here we show that, due to superradiance, small Kerr-anti-de Sitter black holes are unstable. Our demonstration uses a matching procedure, in a long wavelength approximation. |
1010.0930 | Partha Mukhopadhyay | Partha Mukhopadhyay | DeWitt-Virasoro construction | 18 pages, shorter version of arXiv:0912.3987 [hep-th] accepted for
publication in Pramana - Journal of Physics | Pramana 76:407-420,2011 | 10.1007/s12043-011-0055-x | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a particular approach for analyzing worldsheet conformal invariance
for bosonic string propagating in a curved background using hamiltonian
formalism. We work in the Schrodinger picture of a single particle description
of the problem where the particle moves in an infinite-dimensional space.
Background independence is maintained in this approach by adopting DeWitt's
(Phys.Rev.85:653-661,1952) coordinate independent formulation of quantum
mechanics. This enables us to construct certain background independent notion
of Virasoro generators, called DeWitt-Virasoro (DWV) generators, and invariant
matrix elements of an arbitrary operator constructed out of them in spin-zero
representation. We show that the DWV algebra is given by the Witt algebra with
additional anomalous terms that vanish for Ricci-flat backgrounds. The actual
quantum Virasoro generators should be obtained by first introducing the vacuum
state and then normal ordering the DWV generators with respect to that. We
demonstrate the procedure in the simple cases of flat and pp-wave backgrounds.
This is a shorter version of arXiv:0912.3987 [hep-th] with many technical
derivations omitted.
| [
{
"created": "Tue, 5 Oct 2010 16:15:27 GMT",
"version": "v1"
}
] | 2011-06-10 | [
[
"Mukhopadhyay",
"Partha",
""
]
] | We study a particular approach for analyzing worldsheet conformal invariance for bosonic string propagating in a curved background using hamiltonian formalism. We work in the Schrodinger picture of a single particle description of the problem where the particle moves in an infinite-dimensional space. Background independence is maintained in this approach by adopting DeWitt's (Phys.Rev.85:653-661,1952) coordinate independent formulation of quantum mechanics. This enables us to construct certain background independent notion of Virasoro generators, called DeWitt-Virasoro (DWV) generators, and invariant matrix elements of an arbitrary operator constructed out of them in spin-zero representation. We show that the DWV algebra is given by the Witt algebra with additional anomalous terms that vanish for Ricci-flat backgrounds. The actual quantum Virasoro generators should be obtained by first introducing the vacuum state and then normal ordering the DWV generators with respect to that. We demonstrate the procedure in the simple cases of flat and pp-wave backgrounds. This is a shorter version of arXiv:0912.3987 [hep-th] with many technical derivations omitted. |
2108.07959 | Zhenjie Li | Song He, Zhenjie Li, Qinglin Yang | Comments on all-loop constraints for scattering amplitudes and Feynman
integrals | 26 pages, 1 figure; v2: references added, typos corrected and
improved discussions on Sklyanin brackets | null | 10.1007/JHEP01(2022)073 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We comment on the status of "Steinmann-like" constraints, i.e. all-loop
constraints on consecutive entries of the symbol of scattering amplitudes and
Feynman integrals in planar ${\cal N}=4$ super-Yang-Mills, which have been
crucial for the recent progress of the bootstrap program. Based on physical
discontinuities and Steinmann relations, we first summarize all possible double
discontinuities (or first-two-entries) for (the symbol of) amplitudes and
integrals in terms of dilogarithms, generalizing well-known results for $n=6,7$
to all multiplicities. As our main result, we find that extended-Steinmann
relations hold for all finite integrals that we have checked, including various
ladder integrals, generic double-pentagon integrals, as well as finite
components of two-loop NMHV amplitudes for any $n$; with suitable normalization
such as minimal subtraction, they hold for $n=8$ MHV amplitudes at three loops.
We find interesting cancellation between contributions from rational and
algebraic letters, and for the former we have also tested cluster-adjacency
conditions using the so-called Sklyanin brackets. Finally, we propose a list of
possible last-two-entries for $n$-point MHV amplitudes derived from $\bar{Q}$
equations, which can be used to reduce the space of functions for higher-point
MHV amplitudes.
| [
{
"created": "Wed, 18 Aug 2021 03:34:35 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Aug 2021 06:49:36 GMT",
"version": "v2"
}
] | 2022-02-02 | [
[
"He",
"Song",
""
],
[
"Li",
"Zhenjie",
""
],
[
"Yang",
"Qinglin",
""
]
] | We comment on the status of "Steinmann-like" constraints, i.e. all-loop constraints on consecutive entries of the symbol of scattering amplitudes and Feynman integrals in planar ${\cal N}=4$ super-Yang-Mills, which have been crucial for the recent progress of the bootstrap program. Based on physical discontinuities and Steinmann relations, we first summarize all possible double discontinuities (or first-two-entries) for (the symbol of) amplitudes and integrals in terms of dilogarithms, generalizing well-known results for $n=6,7$ to all multiplicities. As our main result, we find that extended-Steinmann relations hold for all finite integrals that we have checked, including various ladder integrals, generic double-pentagon integrals, as well as finite components of two-loop NMHV amplitudes for any $n$; with suitable normalization such as minimal subtraction, they hold for $n=8$ MHV amplitudes at three loops. We find interesting cancellation between contributions from rational and algebraic letters, and for the former we have also tested cluster-adjacency conditions using the so-called Sklyanin brackets. Finally, we propose a list of possible last-two-entries for $n$-point MHV amplitudes derived from $\bar{Q}$ equations, which can be used to reduce the space of functions for higher-point MHV amplitudes. |
hep-th/9605210 | Stephen Pinsky | Stephen S. Pinsky (Ohio State University) | Dirac's Legacy: Light-Cone Quantization | Talk presented at the International Conference on Orbis Scientiae
1996 Miami Beach Florida- January 25-28, 1996 | null | null | null | hep-th | null | In recent years light-cone quantization of quantum field theory has emerged
as a promising method for solving problems in the strong coupling regime. This
approach has a number of unique features that make it particularly appealing,
most notably, the ground state of the free theory is also a ground state of the
full theory.
| [
{
"created": "Thu, 30 May 1996 01:42:27 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Pinsky",
"Stephen S.",
"",
"Ohio State University"
]
] | In recent years light-cone quantization of quantum field theory has emerged as a promising method for solving problems in the strong coupling regime. This approach has a number of unique features that make it particularly appealing, most notably, the ground state of the free theory is also a ground state of the full theory. |
1202.1757 | Andre Lukas | Lara B. Anderson, James Gray, Andre Lukas, Eran Palti | Heterotic Line Bundle Standard Models | 55 pages, Latex, 3 pdf figures | null | 10.1007/JHEP06(2012)113 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a previous publication, arXiv:1106.4804, we have found 200 models from
heterotic Calabi-Yau compactifications with line bundles, which lead to
standard models after taking appropriate quotients by a discrete symmetry and
introducing Wilson lines. In this paper, we construct the resulting standard
models explicitly, compute their spectrum including Higgs multiplets, and
analyze some of their basic properties. After removing redundancies we find
about 400 downstairs models, each with the precise matter spectrum of the
supersymmetric standard model, with one, two or three pairs of Higgs doublets
and no exotics of any kind. In addition to the standard model gauge group, up
to four Green-Schwarz anomalous U(1) symmetries are present in these models,
which constrain the allowed operators in the four-dimensional effective
supergravity. The vector bosons associated to these anomalous U(1) symmetries
are massive. We explicitly compute the spectrum of allowed operators for each
model and present the results, together with the defining data of the models,
in a database of standard models accessible at
http://www-thphys.physics.ox.ac.uk/projects/CalabiYau/linebundlemodels/index.html.
Based on these results we analyze elementary phenomenological properties. For
example, for about 200 models all dimension four and five proton decay
violating operators are forbidden by the additional U(1) symmetries.
| [
{
"created": "Wed, 8 Feb 2012 16:26:00 GMT",
"version": "v1"
}
] | 2015-06-04 | [
[
"Anderson",
"Lara B.",
""
],
[
"Gray",
"James",
""
],
[
"Lukas",
"Andre",
""
],
[
"Palti",
"Eran",
""
]
] | In a previous publication, arXiv:1106.4804, we have found 200 models from heterotic Calabi-Yau compactifications with line bundles, which lead to standard models after taking appropriate quotients by a discrete symmetry and introducing Wilson lines. In this paper, we construct the resulting standard models explicitly, compute their spectrum including Higgs multiplets, and analyze some of their basic properties. After removing redundancies we find about 400 downstairs models, each with the precise matter spectrum of the supersymmetric standard model, with one, two or three pairs of Higgs doublets and no exotics of any kind. In addition to the standard model gauge group, up to four Green-Schwarz anomalous U(1) symmetries are present in these models, which constrain the allowed operators in the four-dimensional effective supergravity. The vector bosons associated to these anomalous U(1) symmetries are massive. We explicitly compute the spectrum of allowed operators for each model and present the results, together with the defining data of the models, in a database of standard models accessible at http://www-thphys.physics.ox.ac.uk/projects/CalabiYau/linebundlemodels/index.html. Based on these results we analyze elementary phenomenological properties. For example, for about 200 models all dimension four and five proton decay violating operators are forbidden by the additional U(1) symmetries. |
hep-th/0609009 | Jan Martin Pawlowski | Christian S. Fischer and Jan M. Pawlowski | Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory | 24 pages, 8 figures | Phys.Rev.D75:025012,2007 | 10.1103/PhysRevD.75.025012 | HD-THEP-06-20 | hep-th | null | We uniquely determine the infrared asymptotics of Green functions in Landau
gauge Yang-Mills theory. They have to satisfy both,
Dyson-Schwinger equations and functional renormalisation group equations.
Then, consistency fixes the relation between the infrared power laws of these
Green functions. We discuss consequences for the interpretation of recent
results from lattice QCD.
| [
{
"created": "Fri, 1 Sep 2006 16:15:53 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Fischer",
"Christian S.",
""
],
[
"Pawlowski",
"Jan M.",
""
]
] | We uniquely determine the infrared asymptotics of Green functions in Landau gauge Yang-Mills theory. They have to satisfy both, Dyson-Schwinger equations and functional renormalisation group equations. Then, consistency fixes the relation between the infrared power laws of these Green functions. We discuss consequences for the interpretation of recent results from lattice QCD. |
hep-th/0401196 | Igor Schnakenburg | Igor Schnakenburg and Peter West | Kac-Moody Symmetries of Ten-dimensional Non-maximal Supergravity
Theories | null | JHEP0405:019,2004 | 10.1088/1126-6708/2004/05/019 | null | hep-th | null | A description of the bosonic sector of ten-dimensional N=1 supergravity as a
non-linear realisation is given. We show that if a suitable extension of this
theory were invariant under a Kac-Moody algebra, then this algebra would have
to contain a rank eleven Kac-Moody algebra, that can be identified to be a
particular real form of very-extended D_8. We also describe the extension of
N=1 supergravity coupled to an abelian vector gauge field as a non-linear
realisation, and find the Kac-Moody algebra governing the symmetries of this
theory to be very-extended B_8. Finally, we discuss the related points for the
N=1 supergravity coupled to an arbitrary number of abelian vector gauge fields.
| [
{
"created": "Mon, 26 Jan 2004 15:36:33 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Schnakenburg",
"Igor",
""
],
[
"West",
"Peter",
""
]
] | A description of the bosonic sector of ten-dimensional N=1 supergravity as a non-linear realisation is given. We show that if a suitable extension of this theory were invariant under a Kac-Moody algebra, then this algebra would have to contain a rank eleven Kac-Moody algebra, that can be identified to be a particular real form of very-extended D_8. We also describe the extension of N=1 supergravity coupled to an abelian vector gauge field as a non-linear realisation, and find the Kac-Moody algebra governing the symmetries of this theory to be very-extended B_8. Finally, we discuss the related points for the N=1 supergravity coupled to an arbitrary number of abelian vector gauge fields. |
hep-th/0203187 | Kokorelis | Christos Kokorelis | GUT Model Hierarchies from Intersecting Branes | 50 pages, 2 figures, LaTex, typos corrected | JHEP 0208:018,2002 | 10.1088/1126-6708/2002/08/018 | FTUAM-02/05, IFT-UAM/CSIC-02-03 | hep-th hep-ph | null | By employing D6-branes intersecting at angles in $D = 4$ type I strings, we
construct the first examples of three generation string GUT models (PS-A
class), that contain at low energy exactly the standard model spectrum with no
extra matter and/or extra gauge group factors. They are based on the group
$SU(4)_C \times SU(2)_L \times SU(2)_R$. The models are non-supersymmetric,
even though SUSY is unbroken in the bulk. Baryon number is gauged and its
anomalies are cancelled through a generalized Green-Schwarz mechanism. We also
discuss models (PS-B class) which at low energy have the standard model
augmented by an anomaly free U(1) symmetry and show that multibrane wrappings
correspond to a trivial redefinition of the surviving global U(1) at low
energies. There are no colour triplet couplings to mediate proton decay and
proton is stable. The models are compatible with a low string scale of energy
less that 650 GeV and are directly testable at present or future accelerators
as they predict the existence of light left handed weak fermion doublets at
energies between 90 and 246 GeV. The neutrinos get a mass through an
unconventional see-saw mechanism. The mass relation $m_e = m_d$ at the GUT
scale is recovered. Imposing supersymmetry at particular intersections
generates non-zero Majorana masses for right handed neutrinos as well providing
the necessary singlets needed to break the surviving anomaly free U(1), thus
suggesting a gauge symmetry breaking method that can be applied in general
left-right symmetric models.
| [
{
"created": "Wed, 20 Mar 2002 18:07:31 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Mar 2002 23:00:36 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Jun 2002 14:47:38 GMT",
"version": "v3"
},
{
"created": "Thu, 12 Sep 2002 12:42:47 GMT",
"version": "v4"
}
] | 2009-11-07 | [
[
"Kokorelis",
"Christos",
""
]
] | By employing D6-branes intersecting at angles in $D = 4$ type I strings, we construct the first examples of three generation string GUT models (PS-A class), that contain at low energy exactly the standard model spectrum with no extra matter and/or extra gauge group factors. They are based on the group $SU(4)_C \times SU(2)_L \times SU(2)_R$. The models are non-supersymmetric, even though SUSY is unbroken in the bulk. Baryon number is gauged and its anomalies are cancelled through a generalized Green-Schwarz mechanism. We also discuss models (PS-B class) which at low energy have the standard model augmented by an anomaly free U(1) symmetry and show that multibrane wrappings correspond to a trivial redefinition of the surviving global U(1) at low energies. There are no colour triplet couplings to mediate proton decay and proton is stable. The models are compatible with a low string scale of energy less that 650 GeV and are directly testable at present or future accelerators as they predict the existence of light left handed weak fermion doublets at energies between 90 and 246 GeV. The neutrinos get a mass through an unconventional see-saw mechanism. The mass relation $m_e = m_d$ at the GUT scale is recovered. Imposing supersymmetry at particular intersections generates non-zero Majorana masses for right handed neutrinos as well providing the necessary singlets needed to break the surviving anomaly free U(1), thus suggesting a gauge symmetry breaking method that can be applied in general left-right symmetric models. |
hep-th/0112232 | Jiro Sakamoto | J.Sakamoto and K. Mano | Comments on Bosonization of the extended Thirring Model with SU(2)
Symmetry | 6pages, no figures | null | null | null | hep-th | null | Bosonization of the extended Thirring model with SU(2) symmetry in the
Minkowski path integral method is discussed. We argue that it is not an easy
task to bosonize such a model if we derive correctly the fermion determinant
which is induced with the decoupling transformation because it seems that there
arise ghost fields. This is contrary to what is shown in a textbook and some
people believe.
| [
{
"created": "Tue, 25 Dec 2001 02:12:05 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Sakamoto",
"J.",
""
],
[
"Mano",
"K.",
""
]
] | Bosonization of the extended Thirring model with SU(2) symmetry in the Minkowski path integral method is discussed. We argue that it is not an easy task to bosonize such a model if we derive correctly the fermion determinant which is induced with the decoupling transformation because it seems that there arise ghost fields. This is contrary to what is shown in a textbook and some people believe. |
2107.01300 | Sebastian Waeber | Georg Maier, Andreas Sch\"afer, Sebastian Waeber | Holographic Kolmogorov-Sinai entropy and the quantum Lyapunov spectrum | 20 pages, 6 figures | null | 10.1007/JHEP01(2022)165 | null | hep-th gr-qc nlin.CD nucl-th | http://creativecommons.org/licenses/by/4.0/ | In classical chaotic systems the entropy, averaged over initial phase space
distributions, follows an universal behavior. While approaching thermal
equilibrium it passes through a stage where it grows linearly, while the growth
rate, the Kolmogorov-Sinai entropy, is given by the sum over all positive
Lyapunov exponents. A natural question is whether a similar relation is valid
for quantum systems. We argue that the Maldacena-Shenker-Stanford bound on
quantum Lyapunov exponents $\lambda$ implies that the upper bound on the growth
rate of the entropy, averaged over states in Hilbert space that evolve towards
a thermal state with temperature $T$ and entropy $S_{eq}$, should be given by
$S_{eq} \pi T =\sum_{\lambda >0}2 \pi T$. Strongly coupled, large $N$ theories
with black hole duals should saturate the bound. By studying a large number of
isotropization processes of random, spatially homogeneous, far from equilibrium
initial states in large $N$, $\mathcal{N}=4$ Super Yang Mills theory at strong
coupling and computing the ensemble averaged growth rate of the dual black
hole's apparent horizon area, we find both an analogous behavior as in
classical chaotic systems and numerical evidence that the conjectured bound on
averaged entropy growth is saturated granted that the Lyapunov exponents are
degenerate $\lambda = \pm 2 \pi T$. This fits to the behavior of classical
systems with plus/minus symmetric Lyapunov spectra, a symmetry which implies
the validity of Liouville's theorem.
| [
{
"created": "Fri, 2 Jul 2021 23:10:44 GMT",
"version": "v1"
}
] | 2022-02-16 | [
[
"Maier",
"Georg",
""
],
[
"Schäfer",
"Andreas",
""
],
[
"Waeber",
"Sebastian",
""
]
] | In classical chaotic systems the entropy, averaged over initial phase space distributions, follows an universal behavior. While approaching thermal equilibrium it passes through a stage where it grows linearly, while the growth rate, the Kolmogorov-Sinai entropy, is given by the sum over all positive Lyapunov exponents. A natural question is whether a similar relation is valid for quantum systems. We argue that the Maldacena-Shenker-Stanford bound on quantum Lyapunov exponents $\lambda$ implies that the upper bound on the growth rate of the entropy, averaged over states in Hilbert space that evolve towards a thermal state with temperature $T$ and entropy $S_{eq}$, should be given by $S_{eq} \pi T =\sum_{\lambda >0}2 \pi T$. Strongly coupled, large $N$ theories with black hole duals should saturate the bound. By studying a large number of isotropization processes of random, spatially homogeneous, far from equilibrium initial states in large $N$, $\mathcal{N}=4$ Super Yang Mills theory at strong coupling and computing the ensemble averaged growth rate of the dual black hole's apparent horizon area, we find both an analogous behavior as in classical chaotic systems and numerical evidence that the conjectured bound on averaged entropy growth is saturated granted that the Lyapunov exponents are degenerate $\lambda = \pm 2 \pi T$. This fits to the behavior of classical systems with plus/minus symmetric Lyapunov spectra, a symmetry which implies the validity of Liouville's theorem. |
hep-th/0204134 | R. Cartas-Fuentevilla | R. Cartas-Fuentevilla (Universidad Autonoma de Puebla, Mexico) | Towards a covariant canonical formulation for closed topological defects
without boundaries | LaTeX, 12 pages, submitted to Phys. Lett. B. (2002) | Class.Quant.Grav. 19 (2002) 3571-3582 | 10.1088/0264-9381/19/14/301 | null | hep-th | null | On the basis of the covariant description of the canonical formalism for
quantization, we present the basic elements of the symplectic geometry for a
restricted class of topological defects propagating on a curved background
spacetime. We discuss the future extensions of the present results.
| [
{
"created": "Tue, 16 Apr 2002 23:19:49 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Cartas-Fuentevilla",
"R.",
"",
"Universidad Autonoma de Puebla, Mexico"
]
] | On the basis of the covariant description of the canonical formalism for quantization, we present the basic elements of the symplectic geometry for a restricted class of topological defects propagating on a curved background spacetime. We discuss the future extensions of the present results. |
hep-th/9712193 | Sandip Trivedi | J. Lykken, E. Poppitz and S.P. Trivedi | M(ore) on Chiral Gauge Theories from D-Branes | 27 pages, One Figure, Latex | Nucl.Phys. B520 (1998) 51-74 | 10.1016/S0550-3213(98)00186-2 | Fermilab-Pub-97/425-T, UCSD-PTH-97-37 | hep-th | null | We consider a brane configuration consisting of intersecting Neveu-Schwarz
five-branes, Dirichlet four-branes, and an orientifold four-plane in a C^2/Z_3
orbifold background. We show that the low-energy dynamics is described by a
four dimensional gauge theory with N=1 supersymmetry and SO(N+4) X SU(N) or
SP(2M) X SU(2M+4) gauge symmetry. The matter content of this theory is chiral.
In particular, the SU group has one matter field in the antisymmetric tensor or
symmetric tensor representation and several fields in the fundamental and
antifundamental representations. We discuss various consistency checks on these
theories. By considering the brane configuration in M theory we deduce the
spectral curves for these theories. Finally, we consider the effects of
replacing the orbifold background with a non-singular ALE space (both with and
without an orientifold plane) and show that it leaves the spectral curves
unchanged.
| [
{
"created": "Fri, 19 Dec 1997 21:29:45 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Lykken",
"J.",
""
],
[
"Poppitz",
"E.",
""
],
[
"Trivedi",
"S. P.",
""
]
] | We consider a brane configuration consisting of intersecting Neveu-Schwarz five-branes, Dirichlet four-branes, and an orientifold four-plane in a C^2/Z_3 orbifold background. We show that the low-energy dynamics is described by a four dimensional gauge theory with N=1 supersymmetry and SO(N+4) X SU(N) or SP(2M) X SU(2M+4) gauge symmetry. The matter content of this theory is chiral. In particular, the SU group has one matter field in the antisymmetric tensor or symmetric tensor representation and several fields in the fundamental and antifundamental representations. We discuss various consistency checks on these theories. By considering the brane configuration in M theory we deduce the spectral curves for these theories. Finally, we consider the effects of replacing the orbifold background with a non-singular ALE space (both with and without an orientifold plane) and show that it leaves the spectral curves unchanged. |
2304.09900 | Alex May | Aleksander M. Kubicki, Alex May and David P\'erez-Garcia | Constraints on physical computers in holographic spacetimes | null | SciPost Phys. 16, 024 (2024) | 10.21468/SciPostPhys.16.1.024 | null | hep-th quant-ph | http://creativecommons.org/licenses/by/4.0/ | Within the setting of the AdS/CFT correspondence, we ask about the power of
computers in the presence of gravity. We show that there are computations on
$n$ qubits which cannot be implemented inside of black holes with entropy less
than $O(2^n)$. To establish our claim, we argue computations happening inside
the black hole must be implementable in a programmable quantum processor, so
long as the inputs and description of the unitary to be run are not too large.
We then prove a bound on quantum processors which shows many unitaries cannot
be implemented inside the black hole, and further show some of these have short
descriptions and act on small systems. These unitaries with short descriptions
must be computationally forbidden from happening inside the black hole.
| [
{
"created": "Wed, 19 Apr 2023 18:00:50 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Dec 2023 18:46:51 GMT",
"version": "v2"
}
] | 2024-01-24 | [
[
"Kubicki",
"Aleksander M.",
""
],
[
"May",
"Alex",
""
],
[
"Pérez-Garcia",
"David",
""
]
] | Within the setting of the AdS/CFT correspondence, we ask about the power of computers in the presence of gravity. We show that there are computations on $n$ qubits which cannot be implemented inside of black holes with entropy less than $O(2^n)$. To establish our claim, we argue computations happening inside the black hole must be implementable in a programmable quantum processor, so long as the inputs and description of the unitary to be run are not too large. We then prove a bound on quantum processors which shows many unitaries cannot be implemented inside the black hole, and further show some of these have short descriptions and act on small systems. These unitaries with short descriptions must be computationally forbidden from happening inside the black hole. |
hep-th/9608101 | Horacio A. Falomir | H.Falomir, R.E.Gamboa Sarav\'i, M.A.Muschietti, E.M.Santangelo,
J.E.Solomin | Determinants of Dirac operators with local boundary conditions | standard LaTeX, 24 pages. To appear in Jour. Math. Phys | null | 10.1063/1.531700 | null | hep-th funct-an math.FA | null | We study functional determinants for Dirac operators on manifolds with
boundary. We give, for local boundary conditions, an explicit formula relating
these determinants to the corresponding Green functions. We finally apply this
result to the case of a bidimensional disk under bag-like conditions.
| [
{
"created": "Thu, 15 Aug 1996 18:30:01 GMT",
"version": "v1"
}
] | 2016-08-15 | [
[
"Falomir",
"H.",
""
],
[
"Saraví",
"R. E. Gamboa",
""
],
[
"Muschietti",
"M. A.",
""
],
[
"Santangelo",
"E. M.",
""
],
[
"Solomin",
"J. E.",
""
]
] | We study functional determinants for Dirac operators on manifolds with boundary. We give, for local boundary conditions, an explicit formula relating these determinants to the corresponding Green functions. We finally apply this result to the case of a bidimensional disk under bag-like conditions. |
0807.0044 | Pietro Antonio Grassi | Pietro Fr\'e and Pietro Antonio Grassi | Pure Spinor Formalism for Osp(N|4) backgrounds | 25 pp, latex, Misprints, improvements in the last section and
references added | null | 10.1142/S0217751X12501850 | DISTA-2008 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We start from the Maurer-Cartan (MC) equations of the Osp(N|4) superalgebras
satisfied by the left-invariant super-forms realized on supercoset manifolds of
the corresponding supergroups and we derive some new pure spinor constraints.
They are obtained by "ghostifying" the MC forms and extending the differential
d to a BRST differential. From the superalgebras G =Osp(N|4) we single out
different subalgebras H contained in G associated with the different cosets
G/H: each choice of H leads to a different weakening of the pure spinor
constraints. In each case, the number of parameter is counted and we show that
in the cases of Osp(6|4)/U(3) x SO(1,3), Osp(4|4)/SO(3) x SO(1,3) and finally
Osp(4|4) U(2)} x SO(1,3) the bosonic and fermionic degrees of freedom match in
order to provide a c=0 superconformal field theory. We construct both the
Green-Schwarz and the pure spinor sigma model for the case Osp(6|4)/U(3)x
SO(1,3) corresponding to AdS_4 x P^3. The pure spinor sigma model can be
consistently quantized.
| [
{
"created": "Tue, 1 Jul 2008 19:11:41 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Jul 2008 20:38:53 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Fré",
"Pietro",
""
],
[
"Grassi",
"Pietro Antonio",
""
]
] | We start from the Maurer-Cartan (MC) equations of the Osp(N|4) superalgebras satisfied by the left-invariant super-forms realized on supercoset manifolds of the corresponding supergroups and we derive some new pure spinor constraints. They are obtained by "ghostifying" the MC forms and extending the differential d to a BRST differential. From the superalgebras G =Osp(N|4) we single out different subalgebras H contained in G associated with the different cosets G/H: each choice of H leads to a different weakening of the pure spinor constraints. In each case, the number of parameter is counted and we show that in the cases of Osp(6|4)/U(3) x SO(1,3), Osp(4|4)/SO(3) x SO(1,3) and finally Osp(4|4) U(2)} x SO(1,3) the bosonic and fermionic degrees of freedom match in order to provide a c=0 superconformal field theory. We construct both the Green-Schwarz and the pure spinor sigma model for the case Osp(6|4)/U(3)x SO(1,3) corresponding to AdS_4 x P^3. The pure spinor sigma model can be consistently quantized. |
hep-th/9807050 | null | Dmitri Sorokin | On Some Features of the M-5-Brane | LaTeX file, 14 pages. Invited talk given at the Trieste Conference on
Superfivebranes and Physics in 5+1 Dimensions (April 1-3, 1998), and at the
2nd INTAS Meeting ``Fundamental Problems in Classical, Quantum and String
Gravity" (Paris, 1--3 May, 1998) | null | null | HUB-EP-98/37, DFPD 98/TH/30 | hep-th | null | We review the structure and symmetry properties of the worldvolume action for
the M-theory 5-brane and of its equations of motion.
| [
{
"created": "Tue, 7 Jul 1998 18:24:26 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Sorokin",
"Dmitri",
""
]
] | We review the structure and symmetry properties of the worldvolume action for the M-theory 5-brane and of its equations of motion. |
2210.04881 | Stratos Pateloudis | Stratos Pateloudis, Georg Bergner, Masanori Hanada, Enrico Rinaldi,
Andreas Sch\"afer, Pavlos Vranas, Hiromasa Watanabe, Norbert Bodendorfer | Precision test of gauge/gravity duality in D0-brane matrix model at low
temperature | Published version. 33 pages, 16 figures. Data are available upon
request to Stratos Pateloudis | null | 10.1007/JHEP03(2023)071 | null | hep-th hep-lat | http://creativecommons.org/licenses/by/4.0/ | We test the gauge/gravity duality between the matrix model and type IIA
string theory at low temperatures with unprecedented accuracy. To this end, we
perform lattice Monte Carlo simulations of the Berenstein-Maldacena-Nastase
(BMN) matrix model, which is the one-parameter deformation of the
Banks-Fischler-Shenker-Susskind (BFSS) matrix model, taking both the large $N$
and continuum limits. We leverage the fact that sufficiently small flux
parameters in the BMN matrix model have a negligible impact on the energy of
the system while stabilizing the flat directions so that simulations at smaller
$N$ than in the BFSS matrix model are possible. Hence, we can perform a
precision measurement of the large $N$ continuum energy at the lowest
temperatures to date. The energy is in perfect agreement with supergravity
predictions including estimations of $\alpha'$-corrections from previous
simulations. At the lowest temperature where we can simulate efficiently
($T=0.25\lambda^{1/3}$, where $\lambda$ is the 't Hooft coupling), the
difference in energy to the pure supergravity prediction is less than $10\%$.
Furthermore, we can extract the coefficient of the $1/N^4$ corrections at a
fixed temperature with good accuracy, which was previously unknown.
| [
{
"created": "Mon, 10 Oct 2022 17:52:37 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Mar 2023 10:51:14 GMT",
"version": "v2"
}
] | 2023-03-14 | [
[
"Pateloudis",
"Stratos",
""
],
[
"Bergner",
"Georg",
""
],
[
"Hanada",
"Masanori",
""
],
[
"Rinaldi",
"Enrico",
""
],
[
"Schäfer",
"Andreas",
""
],
[
"Vranas",
"Pavlos",
""
],
[
"Watanabe",
"Hiromasa",
""
... | We test the gauge/gravity duality between the matrix model and type IIA string theory at low temperatures with unprecedented accuracy. To this end, we perform lattice Monte Carlo simulations of the Berenstein-Maldacena-Nastase (BMN) matrix model, which is the one-parameter deformation of the Banks-Fischler-Shenker-Susskind (BFSS) matrix model, taking both the large $N$ and continuum limits. We leverage the fact that sufficiently small flux parameters in the BMN matrix model have a negligible impact on the energy of the system while stabilizing the flat directions so that simulations at smaller $N$ than in the BFSS matrix model are possible. Hence, we can perform a precision measurement of the large $N$ continuum energy at the lowest temperatures to date. The energy is in perfect agreement with supergravity predictions including estimations of $\alpha'$-corrections from previous simulations. At the lowest temperature where we can simulate efficiently ($T=0.25\lambda^{1/3}$, where $\lambda$ is the 't Hooft coupling), the difference in energy to the pure supergravity prediction is less than $10\%$. Furthermore, we can extract the coefficient of the $1/N^4$ corrections at a fixed temperature with good accuracy, which was previously unknown. |
0708.1994 | Andy O'Bannon | Andy O'Bannon | Hall Conductivity of Flavor Fields from AdS/CFT | 22 pages, 4 figures | Phys.Rev.D76:086007,2007 | 10.1103/PhysRevD.76.086007 | null | hep-th | null | We use the AdS/CFT correspondence to compute a conductivity associated with
massive N=2 supersymmetric hypermultiplet fields at finite baryon density,
propagating through an N=4 supersymmetric SU(Nc) Yang-Mills plasma in the large
Nc, large 't Hooft coupling limit. We do so by introducing external electric
and magnetic fields coupled to baryon number and computing the resulting
induced current, from which we extract the conductivity tensor. At large
hypermultiplet mass we compute the drag force on the charge carriers. We also
compute the product of the drag coefficient with the kinetic mass, and find
that the answer is unchanged from the zero density case. The gravitational dual
is a probe D7-brane, with a nontrivial worldvolume gauge field configuration,
in an AdS-Schwarzschild background. We identify an effective horizon on the
D7-brane worldvolume analogous to the worldsheet horizon observed for strings
moving in the same background. We generalize our results to a class of theories
described by probe D-branes in various backgrounds.
| [
{
"created": "Wed, 15 Aug 2007 06:09:59 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"O'Bannon",
"Andy",
""
]
] | We use the AdS/CFT correspondence to compute a conductivity associated with massive N=2 supersymmetric hypermultiplet fields at finite baryon density, propagating through an N=4 supersymmetric SU(Nc) Yang-Mills plasma in the large Nc, large 't Hooft coupling limit. We do so by introducing external electric and magnetic fields coupled to baryon number and computing the resulting induced current, from which we extract the conductivity tensor. At large hypermultiplet mass we compute the drag force on the charge carriers. We also compute the product of the drag coefficient with the kinetic mass, and find that the answer is unchanged from the zero density case. The gravitational dual is a probe D7-brane, with a nontrivial worldvolume gauge field configuration, in an AdS-Schwarzschild background. We identify an effective horizon on the D7-brane worldvolume analogous to the worldsheet horizon observed for strings moving in the same background. We generalize our results to a class of theories described by probe D-branes in various backgrounds. |
hep-th/0205278 | T. Padmanabhan | T.Padmanabhan | Is gravity an intrinsically quantum phenomenon? Dynamics of Gravity from
the Entropy of Spacetime and the Principle of Equivalence | 12 pages; latex with style macros built-in; to appear in
Mod.Phys.Letts.A | Mod.Phys.Lett. A17 (2002) 1147-1158 | 10.1142/S0217732302007260 | IUCAA preprint 23/2002 | hep-th astro-ph gr-qc | null | The two surprising features of gravity are (a) the principle of equivalence
and (b) the connection between gravity and thermodynamics. Using principle of
equivalence and special relativity in the {\it local inertial frame}, one could
obtain the insight that gravity must possess a geometrical description. I show
that, using the same principle of equivalence, special relativity and quantum
theory in the {\it local Rindler frame} one can obtain the Einstein-Hilbert
action functional for gravity and thus the dynamics of the spacetime. This
approach, which essentially involves postulating that the horizon area must be
proportional to the entropy, uses the local Rindler frame as a natural
extension of the local inertial frame and leads to the interpretation that the
gravitational action represents the free energy of the spacetime geometry. As
an aside, one also obtains a natural explanation as to: (i) why the covariant
action for gravity contains second derivatives of the metric tensor and (ii)
why the gravitational coupling constant is positive. The analysis suggests that
gravity is intrinsically holographic and even intrinsically quantum mechanical.
| [
{
"created": "Mon, 27 May 2002 12:09:07 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Padmanabhan",
"T.",
""
]
] | The two surprising features of gravity are (a) the principle of equivalence and (b) the connection between gravity and thermodynamics. Using principle of equivalence and special relativity in the {\it local inertial frame}, one could obtain the insight that gravity must possess a geometrical description. I show that, using the same principle of equivalence, special relativity and quantum theory in the {\it local Rindler frame} one can obtain the Einstein-Hilbert action functional for gravity and thus the dynamics of the spacetime. This approach, which essentially involves postulating that the horizon area must be proportional to the entropy, uses the local Rindler frame as a natural extension of the local inertial frame and leads to the interpretation that the gravitational action represents the free energy of the spacetime geometry. As an aside, one also obtains a natural explanation as to: (i) why the covariant action for gravity contains second derivatives of the metric tensor and (ii) why the gravitational coupling constant is positive. The analysis suggests that gravity is intrinsically holographic and even intrinsically quantum mechanical. |
1601.07882 | Andrew Lucas | Tatsuhiko N. Ikeda, Andrew Lucas, Yuichiro Nakai | Conductivity bounds in probe brane models | 16 pages; v2: minor changes, published version | JHEP 04, 007 (2016) | 10.1007/JHEP04(2016)007 | null | hep-th cond-mat.stat-mech cond-mat.str-el hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss upper and lower bounds on the electrical conductivity of finite
temperature strongly coupled quantum field theories, holographically dual to
probe brane models, within linear response. In a probe limit where disorder is
introduced entirely through an inhomogeneous background charge density, we find
simple lower and upper bounds on the electrical conductivity in arbitrary
dimensions. In field theories in two spatial dimensions, we show that both
bounds persist even when disorder is included in the bulk metric. We discuss
the challenges with finding sharp lower bounds on conductivity in three or more
spatial dimensions when the metric is inhomogeneous.
| [
{
"created": "Thu, 28 Jan 2016 20:05:00 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Apr 2016 15:10:12 GMT",
"version": "v2"
}
] | 2016-04-07 | [
[
"Ikeda",
"Tatsuhiko N.",
""
],
[
"Lucas",
"Andrew",
""
],
[
"Nakai",
"Yuichiro",
""
]
] | We discuss upper and lower bounds on the electrical conductivity of finite temperature strongly coupled quantum field theories, holographically dual to probe brane models, within linear response. In a probe limit where disorder is introduced entirely through an inhomogeneous background charge density, we find simple lower and upper bounds on the electrical conductivity in arbitrary dimensions. In field theories in two spatial dimensions, we show that both bounds persist even when disorder is included in the bulk metric. We discuss the challenges with finding sharp lower bounds on conductivity in three or more spatial dimensions when the metric is inhomogeneous. |
1611.02705 | Garrett Goon | Garrett Goon | Heavy Fields and Gravity | 47 pages, 2 figures. v2: References added and beta functions for a_1
and a_2 in (3.20) corrected (these errors had no effect on any conclusions) | null | 10.1007/JHEP01(2017)045 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the effects of heavy fields on 4D spacetimes with flat, de Sitter
and anti-de Sitter asymptotics. At low energies, matter generates specific,
calculable higher derivative corrections to the GR action which perturbatively
alter the Schwarzschild-$(A)dS$ family of solutions. The effects of massive
scalars, Dirac spinors and gauge fields are each considered. The six-derivative
operators they produce, such as $\sim R^{3}$ terms, generate the leading
corrections. The induced changes to horizon radii, Hawking temperatures and
entropies are found. Modifications to the energy of large $AdS$ black holes are
derived by imposing the first law. An explicit demonstration of the replica
trick is provided, as it is used to derive black hole and cosmological horizon
entropies. Considering entropy bounds, it's found that scalars and fermions
increase the entropy one can store inside a region bounded by a sphere of fixed
size, but vectors lead to a decrease, oddly. We also demonstrate, however, that
many of the corrections fall below the resolving power of the effective field
theory and are therefore untrustworthy. Defining properties of black holes,
such as the horizon area and Hawking temperature, prove to be remarkably robust
against higher derivative gravitational corrections.
| [
{
"created": "Tue, 8 Nov 2016 21:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Mar 2017 17:39:24 GMT",
"version": "v2"
}
] | 2017-03-23 | [
[
"Goon",
"Garrett",
""
]
] | We study the effects of heavy fields on 4D spacetimes with flat, de Sitter and anti-de Sitter asymptotics. At low energies, matter generates specific, calculable higher derivative corrections to the GR action which perturbatively alter the Schwarzschild-$(A)dS$ family of solutions. The effects of massive scalars, Dirac spinors and gauge fields are each considered. The six-derivative operators they produce, such as $\sim R^{3}$ terms, generate the leading corrections. The induced changes to horizon radii, Hawking temperatures and entropies are found. Modifications to the energy of large $AdS$ black holes are derived by imposing the first law. An explicit demonstration of the replica trick is provided, as it is used to derive black hole and cosmological horizon entropies. Considering entropy bounds, it's found that scalars and fermions increase the entropy one can store inside a region bounded by a sphere of fixed size, but vectors lead to a decrease, oddly. We also demonstrate, however, that many of the corrections fall below the resolving power of the effective field theory and are therefore untrustworthy. Defining properties of black holes, such as the horizon area and Hawking temperature, prove to be remarkably robust against higher derivative gravitational corrections. |
2407.03259 | Vahid Taghiloo | H. Adami, M. Golshani, M.M. Sheikh-Jabbari, V. Taghiloo, M.H.
Vahidinia | Covariant Phase Space Formalism for Fluctuating Boundaries | 24 pages, 2 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reconsider formulating $D$ dimensional gauge theories, with the focus on
the case of gravity theories, in spacetimes with boundaries. We extend
covariant phase space formalism to the cases in which boundaries are allowed to
fluctuate. We analyze the symplectic form, the freedoms (ambiguities), and its
conservation for this case. We show that boundary fluctuations render all the
surface charges integrable. We study the algebra of charges and its central
extensions, charge conservation, and fluxes. We briefly comment on memory
effects and questions regarding semiclassical aspects of black holes in the
fluctuating boundary setup.
| [
{
"created": "Wed, 3 Jul 2024 16:42:24 GMT",
"version": "v1"
}
] | 2024-07-04 | [
[
"Adami",
"H.",
""
],
[
"Golshani",
"M.",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
],
[
"Taghiloo",
"V.",
""
],
[
"Vahidinia",
"M. H.",
""
]
] | We reconsider formulating $D$ dimensional gauge theories, with the focus on the case of gravity theories, in spacetimes with boundaries. We extend covariant phase space formalism to the cases in which boundaries are allowed to fluctuate. We analyze the symplectic form, the freedoms (ambiguities), and its conservation for this case. We show that boundary fluctuations render all the surface charges integrable. We study the algebra of charges and its central extensions, charge conservation, and fluxes. We briefly comment on memory effects and questions regarding semiclassical aspects of black holes in the fluctuating boundary setup. |
1208.5999 | Kory Stiffler | S. James Gates Jr, T. Hubsch, and Kory Stiffler | Adinkras and SUSY Holography | 13 pages, 4 figures, a few minor edits | Int. J. Mod. Phys. A29 no. 7, (2014) 1450041 | 10.1142/S0217751X14500419 | PP 012-019 | hep-th math-ph math.MP math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the mechanism by which adinkras holographically store the required
information for the Spin(1,3) Clifford Algebra fiber bundle in the cases of
three 4D, N=1 representations: the chiral, vector and tensor supermultiplets.
| [
{
"created": "Wed, 29 Aug 2012 19:30:41 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Sep 2012 00:04:21 GMT",
"version": "v2"
}
] | 2019-03-12 | [
[
"Gates",
"S. James",
"Jr"
],
[
"Hubsch",
"T.",
""
],
[
"Stiffler",
"Kory",
""
]
] | We discuss the mechanism by which adinkras holographically store the required information for the Spin(1,3) Clifford Algebra fiber bundle in the cases of three 4D, N=1 representations: the chiral, vector and tensor supermultiplets. |
2209.00592 | Dragan Prekrat | D. Prekrat, D. Rankovi\'c, N. K. Todorovi\'c-Vasovi\'c, S.
Kov\'a\v{c}ik, and J. Tekel | Approximate treatment of noncommutative curvature in quartic matrix
model | minor text changes; Sections 5 and 6 expanded; new data point in
Figures 4 and 5; typos in (2.5) and (4.16) corrected; new references added | null | 10.1007/JHEP01(2023)109 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study a Hermitian matrix model with the standard quartic potential amended
by a $\mathrm{tr}(R\Phi^2)$ term for fixed external matrix $R$. This is
motivated by a curvature term in the truncated Heisenberg algebra formulation
of the Grosse-Wulkenhaar model -- a renormalizable noncommutative field theory.
The extra term breaks the unitary symmetry of the action and leads, after
perturbative calculation of the unitary integral, to an effective multitrace
matrix model. Accompanying the analytical treatment of this multitrace
approximation, we also study the model numerically by Monte Carlo simulations.
The phase structure of the model is investigated, and a modified phase diagram
is identified. We observe a shift of the transition line between the 1-cut and
2-cut phases of the theory that is consistent with the previous numerical
simulations and also with the removal of the noncommutative phase in the
Grosse-Wulkenhaar model.
| [
{
"created": "Thu, 1 Sep 2022 17:05:44 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Sep 2022 15:02:12 GMT",
"version": "v2"
},
{
"created": "Sun, 4 Dec 2022 20:23:31 GMT",
"version": "v3"
}
] | 2023-02-08 | [
[
"Prekrat",
"D.",
""
],
[
"Ranković",
"D.",
""
],
[
"Todorović-Vasović",
"N. K.",
""
],
[
"Kováčik",
"S.",
""
],
[
"Tekel",
"J.",
""
]
] | We study a Hermitian matrix model with the standard quartic potential amended by a $\mathrm{tr}(R\Phi^2)$ term for fixed external matrix $R$. This is motivated by a curvature term in the truncated Heisenberg algebra formulation of the Grosse-Wulkenhaar model -- a renormalizable noncommutative field theory. The extra term breaks the unitary symmetry of the action and leads, after perturbative calculation of the unitary integral, to an effective multitrace matrix model. Accompanying the analytical treatment of this multitrace approximation, we also study the model numerically by Monte Carlo simulations. The phase structure of the model is investigated, and a modified phase diagram is identified. We observe a shift of the transition line between the 1-cut and 2-cut phases of the theory that is consistent with the previous numerical simulations and also with the removal of the noncommutative phase in the Grosse-Wulkenhaar model. |
1511.07455 | Anirban Basu | Anirban Basu | Poisson equation for the Mercedes diagram in string theory at genus one | 21 pages, 18 figures, LaTeX | null | 10.1088/0264-9381/33/5/055005 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Mercedes diagram has four trivalent vertices which are connected by six
links such that they form the edges of a tetrahedron. This three loop Feynman
diagram contributes to the D^{12} R^4 amplitude at genus one in type II string
theory, where the vertices are the points of insertion of the graviton vertex
operators, and the links are the scalar propagators on the toroidal worldsheet.
We obtain a modular invariant Poisson equation satisfied by the Mercedes
diagram, where the source terms involve one and two loop Feynman diagrams. We
calculate its contribution to the D^{12} R^4 amplitude.
| [
{
"created": "Mon, 23 Nov 2015 21:02:33 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jan 2016 08:58:07 GMT",
"version": "v2"
}
] | 2016-03-09 | [
[
"Basu",
"Anirban",
""
]
] | The Mercedes diagram has four trivalent vertices which are connected by six links such that they form the edges of a tetrahedron. This three loop Feynman diagram contributes to the D^{12} R^4 amplitude at genus one in type II string theory, where the vertices are the points of insertion of the graviton vertex operators, and the links are the scalar propagators on the toroidal worldsheet. We obtain a modular invariant Poisson equation satisfied by the Mercedes diagram, where the source terms involve one and two loop Feynman diagrams. We calculate its contribution to the D^{12} R^4 amplitude. |
1604.05635 | Gabor Takacs | D.X. Horvath, P.E. Dorey and G. Takacs | Roaming form factors for the tricritical to critical Ising flow | 23 pages, Latex2e file. v2: published version, clarifications added,
typos corrected | JHEP 07 (2016) 051 | 10.1007/JHEP07(2016)051 | DCPT-16/17 | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the massless flows described by the staircase model introduced by
Al.B. Zamolodchikov through the analytic continuation of the sinh-Gordon
S-matrix, focusing on the renormalisation group flow from the tricritical to
the critical Ising model. We show that the properly defined roaming limits of
certain sinh-Gordon form factors are identical to the form factors of the order
and disorder operators for the massless flow. As a by-product, we also
construct form factors for a semi-local field in the sinh-Gordon model, which
can be associated with the twist field in the ultraviolet limiting free
massless bosonic theory.
| [
{
"created": "Tue, 19 Apr 2016 16:04:29 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jul 2016 19:11:58 GMT",
"version": "v2"
}
] | 2016-07-12 | [
[
"Horvath",
"D. X.",
""
],
[
"Dorey",
"P. E.",
""
],
[
"Takacs",
"G.",
""
]
] | We study the massless flows described by the staircase model introduced by Al.B. Zamolodchikov through the analytic continuation of the sinh-Gordon S-matrix, focusing on the renormalisation group flow from the tricritical to the critical Ising model. We show that the properly defined roaming limits of certain sinh-Gordon form factors are identical to the form factors of the order and disorder operators for the massless flow. As a by-product, we also construct form factors for a semi-local field in the sinh-Gordon model, which can be associated with the twist field in the ultraviolet limiting free massless bosonic theory. |
1904.02650 | Edvard Musaev | Edvard T. Musaev | Dynamics of branes in Double Field Theory | Contribution to the proceedings of the workshop "Dualities and
Generalized Geometries", C18-08-31, Corfu Summer Institute 2018, 13 pages | PoS(CORFU2018)139 | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this contribution the construction of the Wess-Zumino term for Dp-branes
and NS 5-branes invariant under T-duality is described. The cases of the
massless Type IIA/B and the massive Type IIA theories are covered. Mass
parameter is introduced by generalized Scherk-Schwarz ansatz of O(10,10) spinor
and tensor fields. The results lead to the picture where a given brane is
understood as an invariant object rotated into the full doubled space.
| [
{
"created": "Thu, 4 Apr 2019 16:41:06 GMT",
"version": "v1"
}
] | 2019-04-05 | [
[
"Musaev",
"Edvard T.",
""
]
] | In this contribution the construction of the Wess-Zumino term for Dp-branes and NS 5-branes invariant under T-duality is described. The cases of the massless Type IIA/B and the massive Type IIA theories are covered. Mass parameter is introduced by generalized Scherk-Schwarz ansatz of O(10,10) spinor and tensor fields. The results lead to the picture where a given brane is understood as an invariant object rotated into the full doubled space. |
2108.08803 | Robert de Mello Koch | Robert de Mello Koch, Antal Jevicki, Xianlong Liu, Kagiso Mathaba and
Jo\~ao P. Rodrigues | Large N Optimization for multi-matrix systems | 38 pages. v2: minor typos corrected and refs added. v3: Published
version | null | 10.1007/JHEP01(2022)168 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we revisit the problem of solving multi-matrix systems through
numerical large $N$ methods. The framework is a collective, loop space
representation which provides a constrained optimization problem, addressed
through master-field minimization. This scheme applies both to multi-matrix
integrals ($c=0$ systems) and multi-matrix quantum mechanics ($c=1$). The
complete fluctuation spectrum is also computable in the above scheme, and is of
immediate physical relevance in the later case. The complexity (and the growth
of degrees of freedom) at large $N$ have stymied earlier attempts and in the
present work we present significant improvements in this regard. The
(constrained) minimization and spectrum calculations are easily achieved with
close to $10^4$ variables, giving solution to Migdal-Makeenko, and collective
field equations. Considering the large number of dynamical (loop) variables and
the extreme nonlinearity of the problem, high precision is obtained when
confronted with solvable cases. Through numerical results presented, we prove
that our scheme solves, by numerical loop space methods, the general two matrix
model problem.
| [
{
"created": "Thu, 19 Aug 2021 17:19:56 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Sep 2021 05:22:55 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Jan 2022 06:59:04 GMT",
"version": "v3"
}
] | 2022-02-16 | [
[
"Koch",
"Robert de Mello",
""
],
[
"Jevicki",
"Antal",
""
],
[
"Liu",
"Xianlong",
""
],
[
"Mathaba",
"Kagiso",
""
],
[
"Rodrigues",
"João P.",
""
]
] | In this work we revisit the problem of solving multi-matrix systems through numerical large $N$ methods. The framework is a collective, loop space representation which provides a constrained optimization problem, addressed through master-field minimization. This scheme applies both to multi-matrix integrals ($c=0$ systems) and multi-matrix quantum mechanics ($c=1$). The complete fluctuation spectrum is also computable in the above scheme, and is of immediate physical relevance in the later case. The complexity (and the growth of degrees of freedom) at large $N$ have stymied earlier attempts and in the present work we present significant improvements in this regard. The (constrained) minimization and spectrum calculations are easily achieved with close to $10^4$ variables, giving solution to Migdal-Makeenko, and collective field equations. Considering the large number of dynamical (loop) variables and the extreme nonlinearity of the problem, high precision is obtained when confronted with solvable cases. Through numerical results presented, we prove that our scheme solves, by numerical loop space methods, the general two matrix model problem. |
2011.04610 | Dimitrios Katsinis | Dimitrios Katsinis, Ioannis Mitsoulas and Georgios Pastras | The Dressing Method as Non Linear Superposition in Sigma Models | 31 pages, 3 appendices | JHEP 03 (2021) 024 | 10.1007/JHEP03(2021)024 | null | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the dressing method on the Non Linear Sigma Model (NLSM), which
describes the propagation of strings on $\mathbb{R}\times \mathrm{S}^2$, for an
arbitrary seed. We obtain a formal solution of the corresponding auxiliary
system, which is expressed in terms of the solutions of the NLSM that have the
same Pohlmeyer counterpart as the seed. Accordingly, we show that the dressing
method can be applied without solving any differential equations. In this
context a superposition principle emerges: The dressed solution is expressed as
a non-linear superposition of the seed with solutions of the NLSM with the same
Pohlmeyer counterpart as the seed.
| [
{
"created": "Mon, 9 Nov 2020 18:12:16 GMT",
"version": "v1"
}
] | 2021-03-05 | [
[
"Katsinis",
"Dimitrios",
""
],
[
"Mitsoulas",
"Ioannis",
""
],
[
"Pastras",
"Georgios",
""
]
] | We apply the dressing method on the Non Linear Sigma Model (NLSM), which describes the propagation of strings on $\mathbb{R}\times \mathrm{S}^2$, for an arbitrary seed. We obtain a formal solution of the corresponding auxiliary system, which is expressed in terms of the solutions of the NLSM that have the same Pohlmeyer counterpart as the seed. Accordingly, we show that the dressing method can be applied without solving any differential equations. In this context a superposition principle emerges: The dressed solution is expressed as a non-linear superposition of the seed with solutions of the NLSM with the same Pohlmeyer counterpart as the seed. |
1510.05490 | Thomas Mertens | David Dudal, Thomas G. Mertens | Radiation Gauge in AdS/QCD: inadmissibility and implications on spectral
functions in the deconfined phase | 10 pages, v2: added reference, version accepted for publication | Phys.Lett. B751 (2015) 352-357 | 10.1016/j.physletb.2015.10.074 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We point out a subtlety in choosing the radiation gauge (A_z=0 combined with
the Lorenz gauge) for gauge fields in AdS/QCD for black hole backgrounds. We
then demonstrate the effect of this on the momentum-dependence of the spectral
functions of the J/psi vector meson, showing a spreading with momentum and a
breaking of isotropy, in contrast to previous results in the literature. We
also discuss the dependence on a background magnetic field, following our
earlier proposed model.
| [
{
"created": "Mon, 19 Oct 2015 14:16:58 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Oct 2015 18:19:56 GMT",
"version": "v2"
}
] | 2016-02-16 | [
[
"Dudal",
"David",
""
],
[
"Mertens",
"Thomas G.",
""
]
] | We point out a subtlety in choosing the radiation gauge (A_z=0 combined with the Lorenz gauge) for gauge fields in AdS/QCD for black hole backgrounds. We then demonstrate the effect of this on the momentum-dependence of the spectral functions of the J/psi vector meson, showing a spreading with momentum and a breaking of isotropy, in contrast to previous results in the literature. We also discuss the dependence on a background magnetic field, following our earlier proposed model. |
1008.4139 | Bruno Le Floch | Jaume Gomis and Bruno Le Floch | 't Hooft Operators in Gauge Theory from Toda CFT | 49 pages, LaTeX. Typos fixed, references added | JHEP 1111 (2011) 114 | 10.1007/JHEP11(2011)114 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct loop operators in two dimensional Toda CFT and calculate with
them the exact expectation value of certain supersymmetric 't Hooft and dyonic
loop operators in four dimensional \Ncal=2 gauge theories with SU(N) gauge
group. Explicit formulae for 't Hooft and dyonic operators in \Ncal=2^* and
\Ncal=2 conformal SQCD with SU(N) gauge group are presented. We also briefly
speculate on the Toda CFT realization of arbitrary loop operators in these
gauge theories in terms of topological web operators in Toda CFT.
| [
{
"created": "Tue, 24 Aug 2010 20:01:11 GMT",
"version": "v1"
},
{
"created": "Sat, 25 Sep 2010 18:25:56 GMT",
"version": "v2"
}
] | 2017-01-04 | [
[
"Gomis",
"Jaume",
""
],
[
"Floch",
"Bruno Le",
""
]
] | We construct loop operators in two dimensional Toda CFT and calculate with them the exact expectation value of certain supersymmetric 't Hooft and dyonic loop operators in four dimensional \Ncal=2 gauge theories with SU(N) gauge group. Explicit formulae for 't Hooft and dyonic operators in \Ncal=2^* and \Ncal=2 conformal SQCD with SU(N) gauge group are presented. We also briefly speculate on the Toda CFT realization of arbitrary loop operators in these gauge theories in terms of topological web operators in Toda CFT. |
hep-th/0602042 | Natalia Kiriushcheva | N. Kiriushcheva and S.V. Kuzmin | Comments on ``The Einstein-Hilbert Lagrangian Density in a 2-dimensional
Spacetime is an Exact Differential'' by R. da Rocha and W.A. Rodrigues, Jr | 14 pages | null | null | null | hep-th | null | We argue that the recent result of da Rocha and Rodrigues that in two
dimensional spacetime the Lagrangian of tetrad gravity is an exact differential
[1], despite the claim of the authors, neither proves the Jackiw conjecture
[2], nor contradicts to the conclusion of [3]. This demonstrates that the
tetrad formulation is different from the metric formulation of the
Einstein-Hilbert action.
| [
{
"created": "Sat, 4 Feb 2006 00:09:20 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kiriushcheva",
"N.",
""
],
[
"Kuzmin",
"S. V.",
""
]
] | We argue that the recent result of da Rocha and Rodrigues that in two dimensional spacetime the Lagrangian of tetrad gravity is an exact differential [1], despite the claim of the authors, neither proves the Jackiw conjecture [2], nor contradicts to the conclusion of [3]. This demonstrates that the tetrad formulation is different from the metric formulation of the Einstein-Hilbert action. |
1006.2094 | Frans Klinkhamer | F.R. Klinkhamer | Newtonian gravity as an entropic force: Towards a derivation of G | 10 pages. v6: published version | Class. Quantum Grav.28:125003, 2011 | 10.1088/0264-9381/28/12/125003 | IPMU10-0098, KA-TP-15-2010 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been suggested that the Newtonian gravitational force may emerge as an
entropic force from a holographic microscopic theory. In this framework, the
possibility is reconsidered that Newton's gravitational coupling constant G can
be derived from the fundamental constants of the underlying microscopic theory.
| [
{
"created": "Thu, 10 Jun 2010 17:46:08 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Jun 2010 17:24:34 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Jul 2010 10:21:02 GMT",
"version": "v3"
},
{
"created": "Thu, 16 Dec 2010 19:52:54 GMT",
"version": "v4"
},
{
"c... | 2011-05-09 | [
[
"Klinkhamer",
"F. R.",
""
]
] | It has been suggested that the Newtonian gravitational force may emerge as an entropic force from a holographic microscopic theory. In this framework, the possibility is reconsidered that Newton's gravitational coupling constant G can be derived from the fundamental constants of the underlying microscopic theory. |
0901.1590 | Bert Janssen | Mar Bastero-Gil, Monica Borunda, Bert Janssen | The Palatini formalism for higher-curvature gravity theories | 4 pages. Contribution to the Spanish Relativity Meeting 2008 in
Salamanca, Spain | AIP Conf.Proc. 1122 (2009) 189-192 | 10.1063/1.3141250 | UG-FT-244/09, CAFPE-114/09 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compare the metric and the Palatini formalism to obtain the Einstein
equations in the presence of higher-order curvature corrections that consist of
contractions of the Riemann tensor, but not of its derivatives. We find that in
general the two formalisms are not equivalent and that the set of solutions of
the Palatini equations is a non-trivial subset of the solutions of the metric
equations. However we also argue that for Lovelock gravities, the equivalence
of the two formalism holds completely and give an explanation of why it holds
precisely for these theories.
| [
{
"created": "Mon, 12 Jan 2009 15:03:03 GMT",
"version": "v1"
}
] | 2018-10-18 | [
[
"Bastero-Gil",
"Mar",
""
],
[
"Borunda",
"Monica",
""
],
[
"Janssen",
"Bert",
""
]
] | We compare the metric and the Palatini formalism to obtain the Einstein equations in the presence of higher-order curvature corrections that consist of contractions of the Riemann tensor, but not of its derivatives. We find that in general the two formalisms are not equivalent and that the set of solutions of the Palatini equations is a non-trivial subset of the solutions of the metric equations. However we also argue that for Lovelock gravities, the equivalence of the two formalism holds completely and give an explanation of why it holds precisely for these theories. |
hep-th/0403075 | Scott Watson | Thorsten Battefeld and Scott Watson | Effective Field Theory Approach to String Gas Cosmology | 19 pages, 2 figures, comments added | JCAP 0406 (2004) 001 | 10.1088/1475-7516/2004/06/001 | null | hep-th astro-ph gr-qc hep-ph | null | We derive the 4D low energy effective field theory for a closed string gas on
a time dependent FRW background. We examine the solutions and find that
although the Brandenberger-Vafa mechanism at late times no longer leads to
radion stabilization, the radion rolls slowly enough that the scenario is still
of interest. In particular, we find a simple example of the string inspired
dark matter recently proposed by Gubser and Peebles.
| [
{
"created": "Mon, 8 Mar 2004 19:04:47 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Mar 2004 19:48:25 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Mar 2004 21:27:14 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Battefeld",
"Thorsten",
""
],
[
"Watson",
"Scott",
""
]
] | We derive the 4D low energy effective field theory for a closed string gas on a time dependent FRW background. We examine the solutions and find that although the Brandenberger-Vafa mechanism at late times no longer leads to radion stabilization, the radion rolls slowly enough that the scenario is still of interest. In particular, we find a simple example of the string inspired dark matter recently proposed by Gubser and Peebles. |
hep-th/0301209 | Peter Jarvis | P. D. Jarvis (University of Tasmania) and G. Rudolph (University of
Leipzig) | Polynomial super-gl(n) algebras | 31 pages, LaTeX, including minor corrections to equation (3) and
reference [60] | J.Phys.A36:5531-5556,2003 | 10.1088/0305-4470/36/20/311 | UTAS-PHYS-02-03 | hep-th | null | We introduce a class of finite dimensional nonlinear superalgebras $L =
L_{\bar{0}} + L_{\bar{1}}$ providing gradings of $L_{\bar{0}} = gl(n) \simeq
sl(n) + gl(1)$. Odd generators close by anticommutation on polynomials (of
degree $>1$) in the $gl(n)$ generators. Specifically, we investigate `type I'
super-$gl(n)$ algebras, having odd generators transforming in a single
irreducible representation of $gl(n)$ together with its contragredient.
Admissible structure constants are discussed in terms of available $gl(n)$
couplings, and various special cases and candidate superalgebras are identified
and exemplified via concrete oscillator constructions. For the case of the
$n$-dimensional defining representation, with odd generators $Q_{a},
\bar{Q}{}^{b}$, and even generators ${E^{a}}_{b}$, $a,b = 1,...,n$, a three
parameter family of quadratic super-$gl(n)$ algebras (deformations of
$sl(n/1)$) is defined. In general, additional covariant Serre-type conditions
are imposed, in order that the Jacobi identities be fulfilled. For these
quadratic super-$gl(n)$ algebras, the construction of Kac modules, and
conditions for atypicality, are briefly considered. Applications in quantum
field theory, including Hamiltonian lattice QCD and space-time supersymmetry,
are discussed.
| [
{
"created": "Sun, 26 Jan 2003 22:44:05 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Feb 2003 23:49:23 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Jarvis",
"P. D.",
"",
"University of Tasmania"
],
[
"Rudolph",
"G.",
"",
"University of\n Leipzig"
]
] | We introduce a class of finite dimensional nonlinear superalgebras $L = L_{\bar{0}} + L_{\bar{1}}$ providing gradings of $L_{\bar{0}} = gl(n) \simeq sl(n) + gl(1)$. Odd generators close by anticommutation on polynomials (of degree $>1$) in the $gl(n)$ generators. Specifically, we investigate `type I' super-$gl(n)$ algebras, having odd generators transforming in a single irreducible representation of $gl(n)$ together with its contragredient. Admissible structure constants are discussed in terms of available $gl(n)$ couplings, and various special cases and candidate superalgebras are identified and exemplified via concrete oscillator constructions. For the case of the $n$-dimensional defining representation, with odd generators $Q_{a}, \bar{Q}{}^{b}$, and even generators ${E^{a}}_{b}$, $a,b = 1,...,n$, a three parameter family of quadratic super-$gl(n)$ algebras (deformations of $sl(n/1)$) is defined. In general, additional covariant Serre-type conditions are imposed, in order that the Jacobi identities be fulfilled. For these quadratic super-$gl(n)$ algebras, the construction of Kac modules, and conditions for atypicality, are briefly considered. Applications in quantum field theory, including Hamiltonian lattice QCD and space-time supersymmetry, are discussed. |
1704.07747 | Dmitry Ageev | D.S.Ageev and I.Ya.Aref'eva | Holographic Non-equilibrium Heating | v1:12 pages, 9 figures; v2:The title and abstract are slightly
changed, the discussion is enlarged, the pictures are changed to make
presentation more clear and refs. added , 22 pages, 4 figures; v3: typos
corrected | J. High Energ. Phys. (2018) 2018: 103 | 10.1007/JHEP03(2018)103 | null | hep-th cond-mat.stat-mech quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the holographic entanglement entropy evolution after a global sharp
quench of thermal state. After the quench, the system comes to equilibrium and
the temperature increases from $T_i$ to $T_f$. Holographic dual of this process
is provided by an injection of a thin shell of matter in the black hole
background. The quantitative characteristics of the evolution depend
substantially on the size of the initial black hole. We show that
characteristic regimes during non-equilibrium heating do not depend on the
initial temperature and are the same as in thermalization. Namely these regimes
are pre-local-equilibration quadratic growth, linear growth and saturation
regimes of the time evolution of the holographic entanglement entropy. We study
the initial temperature dependence of quantitative characteristics of these
regimes and find that the critical exponents do not depend on the temperature,
meanwhile the prefactors are the functions on the temperature.
| [
{
"created": "Tue, 25 Apr 2017 15:45:39 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Jan 2018 13:51:15 GMT",
"version": "v2"
},
{
"created": "Sun, 13 May 2018 15:13:50 GMT",
"version": "v3"
}
] | 2018-05-15 | [
[
"Ageev",
"D. S.",
""
],
[
"Aref'eva",
"I. Ya.",
""
]
] | We study the holographic entanglement entropy evolution after a global sharp quench of thermal state. After the quench, the system comes to equilibrium and the temperature increases from $T_i$ to $T_f$. Holographic dual of this process is provided by an injection of a thin shell of matter in the black hole background. The quantitative characteristics of the evolution depend substantially on the size of the initial black hole. We show that characteristic regimes during non-equilibrium heating do not depend on the initial temperature and are the same as in thermalization. Namely these regimes are pre-local-equilibration quadratic growth, linear growth and saturation regimes of the time evolution of the holographic entanglement entropy. We study the initial temperature dependence of quantitative characteristics of these regimes and find that the critical exponents do not depend on the temperature, meanwhile the prefactors are the functions on the temperature. |
hep-th/0107087 | Sunil Mukhi | Sunil Mukhi and Nemani V Suryanarayana (Tata Institute) | Ramond-Ramond Couplings of Noncommutative Branes | 9 pages, AMS LaTeX; based on an invited talk given by Nemani V.
Suryanarayana at Strings 2001, Mumbai, January 2001; v2: a reference added | null | null | TIFR/TH/01-24 | hep-th | null | We obtain the couplings of noncommutative branes of type II string theories
to constant Ramond-Ramond backgrounds, for BPS as well as non-BPS branes, in
the background-independent description. For the BPS branes, we also generalize
these couplings to other descriptions, and thereby argue their equivalence to
the known couplings in the commutative description. The first part is a review
of earlier work while the second part contains some additional observations.
| [
{
"created": "Wed, 11 Jul 2001 05:51:31 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Aug 2001 14:35:49 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Mukhi",
"Sunil",
"",
"Tata Institute"
],
[
"Suryanarayana",
"Nemani V",
"",
"Tata Institute"
]
] | We obtain the couplings of noncommutative branes of type II string theories to constant Ramond-Ramond backgrounds, for BPS as well as non-BPS branes, in the background-independent description. For the BPS branes, we also generalize these couplings to other descriptions, and thereby argue their equivalence to the known couplings in the commutative description. The first part is a review of earlier work while the second part contains some additional observations. |
hep-th/9111035 | Free the RCFTs | Gregory Moore, M. Ronen Plesser, and Sanjaye Ramgoolam | Exact S-Matrix for 2D String Theory | 42pp | Nucl.Phys.B377:143-190,1992 | 10.1016/0550-3213(92)90020-C | null | hep-th | null | We formulate simple graphical rules which allow explicit calculation of
nonperturbative $c=1$ $S$-matrices. This allows us to investigate the
constraint of nonperturbative unitarity, which indeed rules out some theories.
Nevertheless, we show that there is an infinite parameter family of
nonperturbatively unitary $c=1$ $S$-matrices. We investigate the dependence of
the $S$-matrix on one of these nonperturbative parameters. In particular, we
study the analytic structure, background dependence, and high-energy behavior
of some nonperturbative $c=1$ $S$-matrices. The scattering amplitudes display
interesting resonant behavior both at high energies and in the complex energy
plane.
| [
{
"created": "Wed, 20 Nov 1991 01:15:00 GMT",
"version": "v1"
}
] | 2011-04-05 | [
[
"Moore",
"Gregory",
""
],
[
"Plesser",
"M. Ronen",
""
],
[
"Ramgoolam",
"Sanjaye",
""
]
] | We formulate simple graphical rules which allow explicit calculation of nonperturbative $c=1$ $S$-matrices. This allows us to investigate the constraint of nonperturbative unitarity, which indeed rules out some theories. Nevertheless, we show that there is an infinite parameter family of nonperturbatively unitary $c=1$ $S$-matrices. We investigate the dependence of the $S$-matrix on one of these nonperturbative parameters. In particular, we study the analytic structure, background dependence, and high-energy behavior of some nonperturbative $c=1$ $S$-matrices. The scattering amplitudes display interesting resonant behavior both at high energies and in the complex energy plane. |
1203.2767 | M. P. Garcia del Moral | M. P. Garcia del Moral, J. M. Pena and A. Restuccia | Supermembrane origin of type II gauged supergravities in 9D | 41 pages, Latex. Typos corrected, references added, appendix added.
Sections enlarged with more examples and clarifying explanations. Minor
corrections in section 8. Results unchanged | JHEP 1209 (2012) 063 | 10.1007/JHEP09(2012)063 | FPAUO-12/02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The M-theory origin of the IIB gauged supergravities in nine dimensions,
classified according to the inequivalent classes of monodromy, is shown to
exactly corresponds to the global description of the supermembrane with central
charges. The global description is a realization of the sculpting mechanism of
gauging (arXiv:1107.3255) and it is associated to particular deformation of
fibrations. The supermembrane with central charges may be formulated in terms
of sections on symplectic torus bundles with SL(2,Z) monodromy. This global
formulation corresponds to the gauging of the abelian subgroups of SL(2,Z)
associated to monodromies acting on the target torus. We show the existence of
the trombone symmetry in the supermembrane formulated as a non-linear
realization of the SL(2,Z) symmetry and construct its gauging in terms of the
supermembrane formulated on an inequivalent class of symplectic torus
fibration. The supermembrane also exhibits invariance under T-duality and we
find the explicit T-duality transformation. It has a natural interpretation in
terms of the cohomology of the base manifold and the homology of the target
torus. We conjecture that this construction also holds for the IIA origin of
gauged supergravities in 9D such that the supermembrane becomes the origin of
all type II supergravities in 9D. The geometric structure of the symplectic
torus bundle goes beyond the classification on conjugated classes of SL(2,Z).
It depends on the elements of the coinvariant group associated to the monodromy
group. The possible values of the (p,q) charges on a given symplectic torus
bundle are restricted to the corresponding equivalence class defining the
element of the coinvariant group.
| [
{
"created": "Tue, 13 Mar 2012 11:09:14 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jul 2012 16:14:39 GMT",
"version": "v2"
}
] | 2012-10-25 | [
[
"del Moral",
"M. P. Garcia",
""
],
[
"Pena",
"J. M.",
""
],
[
"Restuccia",
"A.",
""
]
] | The M-theory origin of the IIB gauged supergravities in nine dimensions, classified according to the inequivalent classes of monodromy, is shown to exactly corresponds to the global description of the supermembrane with central charges. The global description is a realization of the sculpting mechanism of gauging (arXiv:1107.3255) and it is associated to particular deformation of fibrations. The supermembrane with central charges may be formulated in terms of sections on symplectic torus bundles with SL(2,Z) monodromy. This global formulation corresponds to the gauging of the abelian subgroups of SL(2,Z) associated to monodromies acting on the target torus. We show the existence of the trombone symmetry in the supermembrane formulated as a non-linear realization of the SL(2,Z) symmetry and construct its gauging in terms of the supermembrane formulated on an inequivalent class of symplectic torus fibration. The supermembrane also exhibits invariance under T-duality and we find the explicit T-duality transformation. It has a natural interpretation in terms of the cohomology of the base manifold and the homology of the target torus. We conjecture that this construction also holds for the IIA origin of gauged supergravities in 9D such that the supermembrane becomes the origin of all type II supergravities in 9D. The geometric structure of the symplectic torus bundle goes beyond the classification on conjugated classes of SL(2,Z). It depends on the elements of the coinvariant group associated to the monodromy group. The possible values of the (p,q) charges on a given symplectic torus bundle are restricted to the corresponding equivalence class defining the element of the coinvariant group. |
1012.2706 | Yu. M. Zinoviev | Yu. M. Zinoviev | On electromagnetic interactions for massive mixed symmetry field | 17 pages. Some clarifications added. Version to appear in JHEP | JHEP 1103:082,2011 | 10.1007/JHEP03(2011)082 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we investigate electromagnetic interactions for simplest
massive mixed symmetry field. Using frame-like gauge invariant formulation we
extend Fradkin-Vasiliev procedure, initially proposed for investigation of
gravitational interactions for massless particles in AdS space, to the case of
electromagnetic interactions for massive particles leaving in (A)dS space with
arbitrary value of cosmological constant including flat Minkowski space. At
first, as an illustration of general procedure, we re-derive our previous
results on massive spin 2 electromagnetic interactions and then we apply this
procedure to massive mixed symmetry field. These two cases are just the
simplest representatives of two general class of fields, namely completely
symmetric and mixed symmetry ones, and it is clear that the results obtained
admit straightforward generalization to higher spins as well.
| [
{
"created": "Mon, 13 Dec 2010 12:08:08 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Mar 2011 08:38:37 GMT",
"version": "v2"
}
] | 2011-03-28 | [
[
"Zinoviev",
"Yu. M.",
""
]
] | In this paper we investigate electromagnetic interactions for simplest massive mixed symmetry field. Using frame-like gauge invariant formulation we extend Fradkin-Vasiliev procedure, initially proposed for investigation of gravitational interactions for massless particles in AdS space, to the case of electromagnetic interactions for massive particles leaving in (A)dS space with arbitrary value of cosmological constant including flat Minkowski space. At first, as an illustration of general procedure, we re-derive our previous results on massive spin 2 electromagnetic interactions and then we apply this procedure to massive mixed symmetry field. These two cases are just the simplest representatives of two general class of fields, namely completely symmetric and mixed symmetry ones, and it is clear that the results obtained admit straightforward generalization to higher spins as well. |
1909.08467 | Arpad Hegedus | Arpad Hegedus | Finite volume expectation values in the sine-Gordon model | null | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the fermionic basis discovered in the 6-vertex model, we derive exact
formulas for the expectation values of local operators of the sine-Gordon
theory in any eigenstate of the Hamiltonian. We tested our formulas in the pure
multi-soliton sector of the theory. In the ultraviolet limit, we checked our
results against Liouville 3-point functions, while in the infrared limit, we
evaluated our formulas in the semi-classical limit and compared them upto
2-particle contributions against the semi-classical limit of the previously
conjectured LeClair-Mussardo type formula. Complete agreement was found in both
cases.
| [
{
"created": "Wed, 18 Sep 2019 14:21:39 GMT",
"version": "v1"
}
] | 2019-09-19 | [
[
"Hegedus",
"Arpad",
""
]
] | Using the fermionic basis discovered in the 6-vertex model, we derive exact formulas for the expectation values of local operators of the sine-Gordon theory in any eigenstate of the Hamiltonian. We tested our formulas in the pure multi-soliton sector of the theory. In the ultraviolet limit, we checked our results against Liouville 3-point functions, while in the infrared limit, we evaluated our formulas in the semi-classical limit and compared them upto 2-particle contributions against the semi-classical limit of the previously conjectured LeClair-Mussardo type formula. Complete agreement was found in both cases. |
hep-th/0606010 | Dario Zappala | M. Consoli, D. Zappal\'a | Renormalization-Group flow for the field strength in scalar
self-interacting theories | 10 pages, 3 Figures, version accepted for publication in Phys. Lett.
B | Phys.Lett.B641:368-371,2006 | 10.1016/j.physletb.2006.07.074 | null | hep-th hep-ph | null | We consider the Renormalization-Group coupled equations for the effective
potential V(\phi) and the field strength Z(\phi) in the spontaneously broken
phase as a function of the infrared cutoff momentum k. In the k \to 0 limit,
the numerical solution of the coupled equations, while consistent with the
expected convexity property of V(\phi), indicates a sharp peaking of Z(\phi)
close to the end points of the flatness region that define the physical
realization of the broken phase. This might represent further evidence in favor
of the non-trivial vacuum field renormalization effect already discovered with
variational methods.
| [
{
"created": "Thu, 1 Jun 2006 10:50:34 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Sep 2006 14:33:08 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Consoli",
"M.",
""
],
[
"Zappalá",
"D.",
""
]
] | We consider the Renormalization-Group coupled equations for the effective potential V(\phi) and the field strength Z(\phi) in the spontaneously broken phase as a function of the infrared cutoff momentum k. In the k \to 0 limit, the numerical solution of the coupled equations, while consistent with the expected convexity property of V(\phi), indicates a sharp peaking of Z(\phi) close to the end points of the flatness region that define the physical realization of the broken phase. This might represent further evidence in favor of the non-trivial vacuum field renormalization effect already discovered with variational methods. |
2301.04039 | Mich\`ele Levi | Mich\`ele Levi | A Theory of Theories | Invited feature article dedicated to the memory of Steven Weinberg ;
Online publication https://cerncourier.com/a/a-theory-of-theories/ | CERN Courier 63(1) (2023) | null | null | hep-th physics.pop-ph | http://creativecommons.org/licenses/by/4.0/ | We take a tour through the past, present and future of Effective Field
Theory, with applications ranging from LHC physics to cosmology.
| [
{
"created": "Tue, 10 Jan 2023 15:39:44 GMT",
"version": "v1"
}
] | 2023-01-19 | [
[
"Levi",
"Michèle",
""
]
] | We take a tour through the past, present and future of Effective Field Theory, with applications ranging from LHC physics to cosmology. |
1312.2941 | Chethan Krishnan | Chethan Krishnan, Avinash Raju, Shubho Roy | A Grassmann Path From AdS_3 to Flat Space | 20 pages, 1 figure; v2: many refs added, minor changes, v3: typos
fixed, one more ref added, JHEP version | null | 10.1007/JHEP03(2014)036 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that interpreting the inverse AdS_3 radius 1/l as a Grassmann
variable results in a formal map from gravity in AdS_3 to gravity in flat
space. The underlying reason for this is the fact that ISO(2,1) is the
Inonu-Wigner contraction of SO(2,2). We show how this works for the
Chern-Simons actions, demonstrate how the general (Banados) solution in AdS_3
maps to the general flat space solution, and how the Killing vectors, charges
and the Virasoro algebra in the Brown-Henneaux case map to the corresponding
quantities in the BMS_3 case. Our results straightforwardly generalize to the
higher spin case: the recently constructed flat space higher spin theories
emerge automatically in this approach from their AdS counterparts. We conclude
with a discussion of singularity resolution in the BMS gauge as an application.
| [
{
"created": "Tue, 10 Dec 2013 20:45:24 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Dec 2013 18:49:49 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Feb 2014 06:24:49 GMT",
"version": "v3"
}
] | 2015-06-18 | [
[
"Krishnan",
"Chethan",
""
],
[
"Raju",
"Avinash",
""
],
[
"Roy",
"Shubho",
""
]
] | We show that interpreting the inverse AdS_3 radius 1/l as a Grassmann variable results in a formal map from gravity in AdS_3 to gravity in flat space. The underlying reason for this is the fact that ISO(2,1) is the Inonu-Wigner contraction of SO(2,2). We show how this works for the Chern-Simons actions, demonstrate how the general (Banados) solution in AdS_3 maps to the general flat space solution, and how the Killing vectors, charges and the Virasoro algebra in the Brown-Henneaux case map to the corresponding quantities in the BMS_3 case. Our results straightforwardly generalize to the higher spin case: the recently constructed flat space higher spin theories emerge automatically in this approach from their AdS counterparts. We conclude with a discussion of singularity resolution in the BMS gauge as an application. |
1806.05033 | Jen-Chi Lee | Sheng-Hong Lai, Jen-Chi Lee and Yi Yang | The SL(K+3,C) Symmetry of the Bosonic String Scattering Amplitudes | 19 pages, no figure. v2: 20 pages, typos corrected and Eqs. added.
v3: 24 pages, Examples in sec. II added,"Discussion" added, to be published
in Nucl.Phys.B | null | 10.1016/j.nuclphysb.2019.02.013 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discover that the exact string scattering amplitudes (SSA) of three
tachyons and one arbitrary string state, or the Lauricella SSA (LSSA), in the
26D open bosonic string theory can be expressed in terms of the basis functions
in the infinite dimensional representation space of the SL(K+3,C) group. In
addition, we find that the K+2 recurrence relations among the LSSA discovered
by the present authors previously can be used to reproduce the Cartan
subalgebra and simple root system of the SL(K+3,C) group with rank K+2. As a
result, the SL(K+3,C) group can be used to solve all the LSSA and express them
in terms of one amplitude. As an application in the hard scattering limit, the
SL(K+3,C) group can be used to directly prove Gross conjecture [1-3], which was
previously corrected and proved by the method of decoupling of zero norm states
[4-10].
| [
{
"created": "Wed, 13 Jun 2018 13:46:59 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Jun 2018 07:37:34 GMT",
"version": "v2"
},
{
"created": "Tue, 26 Feb 2019 03:55:02 GMT",
"version": "v3"
}
] | 2019-03-27 | [
[
"Lai",
"Sheng-Hong",
""
],
[
"Lee",
"Jen-Chi",
""
],
[
"Yang",
"Yi",
""
]
] | We discover that the exact string scattering amplitudes (SSA) of three tachyons and one arbitrary string state, or the Lauricella SSA (LSSA), in the 26D open bosonic string theory can be expressed in terms of the basis functions in the infinite dimensional representation space of the SL(K+3,C) group. In addition, we find that the K+2 recurrence relations among the LSSA discovered by the present authors previously can be used to reproduce the Cartan subalgebra and simple root system of the SL(K+3,C) group with rank K+2. As a result, the SL(K+3,C) group can be used to solve all the LSSA and express them in terms of one amplitude. As an application in the hard scattering limit, the SL(K+3,C) group can be used to directly prove Gross conjecture [1-3], which was previously corrected and proved by the method of decoupling of zero norm states [4-10]. |
1403.1265 | Sergei Alexandrov | Sergei Alexandrov, Sibasish Banerjee | Fivebrane instantons in Calabi-Yau compactifications | 5 pages | Phys. Rev. D 90, 041902 (2014) | 10.1103/PhysRevD.90.041902 | L2C:14-012 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide the last missing piece of the complete non-perturbative
description of the low energy effective action emerging from Calabi-Yau
compactifications of type II string theory --- NS5-brane instanton corrections
to the hypermultiplet moduli space $M_H$. We find them using S-duality symmetry
of the type IIB formulation. The result is encoded in a set of holomorphic
functions on the twistor space of $M_H$ and includes all orders of the
instanton expansion.
| [
{
"created": "Wed, 5 Mar 2014 21:00:42 GMT",
"version": "v1"
}
] | 2014-08-13 | [
[
"Alexandrov",
"Sergei",
""
],
[
"Banerjee",
"Sibasish",
""
]
] | We provide the last missing piece of the complete non-perturbative description of the low energy effective action emerging from Calabi-Yau compactifications of type II string theory --- NS5-brane instanton corrections to the hypermultiplet moduli space $M_H$. We find them using S-duality symmetry of the type IIB formulation. The result is encoded in a set of holomorphic functions on the twistor space of $M_H$ and includes all orders of the instanton expansion. |
hep-th/0004105 | Maxim Zyskin | M. Zyskin | On gauge fields - strings duality as an integrable system | null | Phys.Lett. A275 (2000) 260-273 | 10.1016/S0375-9601(00)00534-X | null | hep-th | null | It was suggested in hep-th/0002106, that semiclassically, a partition
function of a string theory in the 5 dimensional constant negative curvature
space with a boundary condition at the absolute satisfy the loop equation with
respect to varying the boundary condition, and thus the partition function of
the string gives the expectation value of a Wilson loop in the 4 dimensional
QCD. In the paper, we present the geometrical framework, which reveals that the
equations of motion of such string theory are integrable, in the sense that
they can be written via a Lax pair with a spectral parameter. We also show,
that the issue of the loop equation rests solely on the properly posing the
boundary condition.
| [
{
"created": "Fri, 14 Apr 2000 19:19:18 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Apr 2000 19:11:07 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Zyskin",
"M.",
""
]
] | It was suggested in hep-th/0002106, that semiclassically, a partition function of a string theory in the 5 dimensional constant negative curvature space with a boundary condition at the absolute satisfy the loop equation with respect to varying the boundary condition, and thus the partition function of the string gives the expectation value of a Wilson loop in the 4 dimensional QCD. In the paper, we present the geometrical framework, which reveals that the equations of motion of such string theory are integrable, in the sense that they can be written via a Lax pair with a spectral parameter. We also show, that the issue of the loop equation rests solely on the properly posing the boundary condition. |
1804.09717 | Andreas Stergiou | Andrea Manenti, Andreas Stergiou, Alessandro Vichi | R-current three-point functions in 4d $\mathcal{N}=1$ superconformal
theories | 39 pages. Ancillary Mathematica file with summary of results included
with submission. v2: Typos fixed, references added, minor
corrections/additions | null | 10.1007/JHEP12(2018)108 | CERN-TH-2018-096 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In 4d $\mathcal{N}=1$ superconformal field theories (SCFTs) the R-symmetry
current, the stress-energy tensor, and the supersymmetry currents are grouped
into a single object, the Ferrara-Zumino multiplet. In this work we study the
most general form of three-point functions involving two Ferrara-Zumino
multiplets and a third generic multiplet. We solve the constraints imposed by
conservation in superspace and show that non-trivial solutions can only be
found if the third multiplet is R-neutral and transforms in suitable Lorentz
representations. In the process we give a prescription for counting independent
tensor structures in superconformal three-point functions. Finally, we set the
Grassmann coordinates of the Ferrara-Zumino multiplets to zero and extract all
three-point functions involving two R-currents and a third conformal primary.
Our results pave the way for bootstrapping the correlation function of four
R-currents in 4d $\mathcal{N}=1$ SCFTs.
| [
{
"created": "Wed, 25 Apr 2018 18:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Dec 2018 16:18:43 GMT",
"version": "v2"
}
] | 2019-01-30 | [
[
"Manenti",
"Andrea",
""
],
[
"Stergiou",
"Andreas",
""
],
[
"Vichi",
"Alessandro",
""
]
] | In 4d $\mathcal{N}=1$ superconformal field theories (SCFTs) the R-symmetry current, the stress-energy tensor, and the supersymmetry currents are grouped into a single object, the Ferrara-Zumino multiplet. In this work we study the most general form of three-point functions involving two Ferrara-Zumino multiplets and a third generic multiplet. We solve the constraints imposed by conservation in superspace and show that non-trivial solutions can only be found if the third multiplet is R-neutral and transforms in suitable Lorentz representations. In the process we give a prescription for counting independent tensor structures in superconformal three-point functions. Finally, we set the Grassmann coordinates of the Ferrara-Zumino multiplets to zero and extract all three-point functions involving two R-currents and a third conformal primary. Our results pave the way for bootstrapping the correlation function of four R-currents in 4d $\mathcal{N}=1$ SCFTs. |
hep-th/9508116 | Sunao Sakai | Sunao.Sakai (Faculty of Education,Yamagata University) | Finite Temperature QCD with Wilson Fermions | 7 pages, 7 Postscript figures | null | 10.1143/PTPS.122.109 | YAMAGATA-HEP-95-11 | hep-th hep-lat | null | The nature of finite temperature transition in QCD is studied on a lattice
with Wilson fermion. For massless quarks, the transition is smooth for two
flavors, while it is of first order for three and six flavors. Form the study
of transition in the case of non-degenerate as well as degenerate massive quark
case,it is suggest that the finite temperature transition in the real world is
first order.
| [
{
"created": "Thu, 24 Aug 1995 09:57:21 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Sakai",
"Sunao.",
"",
"Faculty of Education,Yamagata University"
]
] | The nature of finite temperature transition in QCD is studied on a lattice with Wilson fermion. For massless quarks, the transition is smooth for two flavors, while it is of first order for three and six flavors. Form the study of transition in the case of non-degenerate as well as degenerate massive quark case,it is suggest that the finite temperature transition in the real world is first order. |
1512.00470 | Ariel Zhitnitsky | ChunJun Cao, Yuan Yao, Ariel R. Zhitnitsky | Aharonov-Bohm phases in a quantum LC circuit | 14 pages, 4 figures | Phys. Rev. D 93, 065049 (2016) | 10.1103/PhysRevD.93.065049 | null | hep-th cond-mat.str-el hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study novel types of contributions to the partition function of the
Maxwell system defined on a small compact manifold. These contributions, often
not addressed in the perturbative treatment with physical photons, emerge as a
result of tunneling transitions between topologically distinct but physically
identical vacuum winding states. These new terms give an extra contribution to
the Casimir pressure, yet to be measured. We argue that this effect is highly
sensitive to a small external electric field, which should be contrasted with
the conventional Casimir effect where the vacuum photons are essentially
unaffected by any external field. Furthermore, photons will be emitted from the
vacuum in response to a time-dependent electric field, similar to the dynamical
Casimir effect in which real particles are radiated from the vacuum due to the
time-dependent boundary conditions. We also propose an experimental setup using
a quantum LC circuit to detect this novel effect. We expect physical electric
charges to appear on the capacitor plates when the system dimension is such
that coherent Aharonov-Bohm phases can be maintained over macroscopically large
distances.
| [
{
"created": "Tue, 1 Dec 2015 21:00:11 GMT",
"version": "v1"
}
] | 2016-03-30 | [
[
"Cao",
"ChunJun",
""
],
[
"Yao",
"Yuan",
""
],
[
"Zhitnitsky",
"Ariel R.",
""
]
] | We study novel types of contributions to the partition function of the Maxwell system defined on a small compact manifold. These contributions, often not addressed in the perturbative treatment with physical photons, emerge as a result of tunneling transitions between topologically distinct but physically identical vacuum winding states. These new terms give an extra contribution to the Casimir pressure, yet to be measured. We argue that this effect is highly sensitive to a small external electric field, which should be contrasted with the conventional Casimir effect where the vacuum photons are essentially unaffected by any external field. Furthermore, photons will be emitted from the vacuum in response to a time-dependent electric field, similar to the dynamical Casimir effect in which real particles are radiated from the vacuum due to the time-dependent boundary conditions. We also propose an experimental setup using a quantum LC circuit to detect this novel effect. We expect physical electric charges to appear on the capacitor plates when the system dimension is such that coherent Aharonov-Bohm phases can be maintained over macroscopically large distances. |
hep-th/9612010 | Dirk Kreimer | D. Kreimer | Weight Systems from Feynman Diagrams | 25 pages, latex, uses epsf, references updated, to appear in J.Knot
Th.Ram | J.Knot Theor.Ramifications 7 (1998) 61-85 | null | MZ-TH/96-36 | hep-th hep-ph math.QA q-alg | null | We find that the overall UV divergences of a renormalizable field theory with
trivalent vertices fulfil a four-term relation. They thus come close to
establish a weight system. This provides a first explanation of the recent
successful association of renormalization theory with knot theory.
| [
{
"created": "Sun, 1 Dec 1996 14:01:02 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Jul 1997 09:32:49 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Kreimer",
"D.",
""
]
] | We find that the overall UV divergences of a renormalizable field theory with trivalent vertices fulfil a four-term relation. They thus come close to establish a weight system. This provides a first explanation of the recent successful association of renormalization theory with knot theory. |
hep-th/9501059 | null | F.A. Smirnov | Counting the local fields in SG theory. | 16 pages AMSTEX References to the papers by A. Koubek and G. Mussargo
are added. In view of them the stasus of the problem with scalar S-matrices
is reconsidered. | Nucl.Phys. B453 (1995) 807-824 | 10.1016/0550-3213(95)00423-P | null | hep-th | null | In terms of the form factor bootstrap we describe all the local fields in SG
theory and check the agreement with the free fermion case. We discuss the
interesting structure responsible for counting the local fields.
| [
{
"created": "Mon, 16 Jan 1995 13:48:37 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Jan 1995 13:18:13 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Smirnov",
"F. A.",
""
]
] | In terms of the form factor bootstrap we describe all the local fields in SG theory and check the agreement with the free fermion case. We discuss the interesting structure responsible for counting the local fields. |
hep-th/9309074 | Anne Taormina | Anne Taormina | New Identities between Unitary Minimal Virasoro Characters | 16 pages, LaTex, DTP-93-47 | Commun.Math.Phys.165:69-82,1994 | 10.1007/BF02099738 | null | hep-th | null | Two sets of identities between unitary minimal Virasoro characters at levels
$m=3,4,5$ are presented and proven. The first identity suggests a connection
between the Ising and tricritical Ising models since the $m=3$ Virasoro
characters are obtained as bilinears of $m=4$ Virasoro characters. The second
identity gives the tricritical Ising model characters as bilinears in the Ising
model characters and the six combinations of $m=5$ Virasoro characters which do
not appear in the spectrum of the three state Potts model. The implication of
these identities on the study of the branching rules of $N=4$ superconformal
characters into $\widehat{SU(2)} \times \widehat{SU(2)}$ characters is
discussed.
| [
{
"created": "Mon, 13 Sep 1993 14:40:40 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Taormina",
"Anne",
""
]
] | Two sets of identities between unitary minimal Virasoro characters at levels $m=3,4,5$ are presented and proven. The first identity suggests a connection between the Ising and tricritical Ising models since the $m=3$ Virasoro characters are obtained as bilinears of $m=4$ Virasoro characters. The second identity gives the tricritical Ising model characters as bilinears in the Ising model characters and the six combinations of $m=5$ Virasoro characters which do not appear in the spectrum of the three state Potts model. The implication of these identities on the study of the branching rules of $N=4$ superconformal characters into $\widehat{SU(2)} \times \widehat{SU(2)}$ characters is discussed. |
1708.08727 | Arkady Tseytlin | A. A. Tseytlin | On divergences in non-minimal N=4 conformal supergravity | 6 pages. v2: minor comment and references added | null | 10.1088/1751-8121/aa920d | Imperial-TP-AT-2017-08 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the question of quantum consistency of N=4 conformal supergravity
in 4 dimensions. The UV divergences and anomalies of the standard ("minimal")
conformal supergravity where the complex scalar $\phi$ is not coupled to the
Weyl graviton kinetic term can be cancelled by coupling this theory to N=4
super Yang-Mills with gauge group of dimension 4. The same turns out to be true
also for the "non-minimal" N=4 conformal supergravity with the action (recently
constructed in arXiv:1609.09083) depending on an arbitrary holomorphic function
$f(\phi)$. The special case of the "non-minimal" conformal supergravity with
$f= e^{2\phi}$ appears in the twistor-string theory. We show that divergences
and anomalies do not depend on the form of the function $f$ and thus can be
cancelled just as in the "minimal" $f=1$ case by coupling the theory to four
N=4 vector multiplets.
| [
{
"created": "Tue, 29 Aug 2017 12:40:02 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Sep 2017 19:36:19 GMT",
"version": "v2"
}
] | 2017-11-22 | [
[
"Tseytlin",
"A. A.",
""
]
] | We review the question of quantum consistency of N=4 conformal supergravity in 4 dimensions. The UV divergences and anomalies of the standard ("minimal") conformal supergravity where the complex scalar $\phi$ is not coupled to the Weyl graviton kinetic term can be cancelled by coupling this theory to N=4 super Yang-Mills with gauge group of dimension 4. The same turns out to be true also for the "non-minimal" N=4 conformal supergravity with the action (recently constructed in arXiv:1609.09083) depending on an arbitrary holomorphic function $f(\phi)$. The special case of the "non-minimal" conformal supergravity with $f= e^{2\phi}$ appears in the twistor-string theory. We show that divergences and anomalies do not depend on the form of the function $f$ and thus can be cancelled just as in the "minimal" $f=1$ case by coupling the theory to four N=4 vector multiplets. |
hep-th/9707036 | null | Fiorenzo Bastianelli, Olindo Corradini | 't Hooft Anomaly Matching Conditions for Generalized Symmetries in 2D | 10 pages, TeX, corrected minor misprints in text and references | Phys.Lett. B413 (1997) 349-354 | 10.1016/S0370-2693(97)01107-6 | null | hep-th | null | The 't Hooft anomaly matching conditions are a standard tool to study and
test non-perturbative issues in quantum field theory. We give a new, simple
proof of the anomaly matching conditions in 2D Poincare` invariant theories. We
consider the case of invariance under a large class of generalized symmetries,
which include abelian and non-abelian internal symmetries, space-time
symmetries generated by the stress tensor, and W-type of symmetries generated
by higher spin currents.
| [
{
"created": "Wed, 2 Jul 1997 22:08:07 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Sep 1997 11:46:11 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Bastianelli",
"Fiorenzo",
""
],
[
"Corradini",
"Olindo",
""
]
] | The 't Hooft anomaly matching conditions are a standard tool to study and test non-perturbative issues in quantum field theory. We give a new, simple proof of the anomaly matching conditions in 2D Poincare` invariant theories. We consider the case of invariance under a large class of generalized symmetries, which include abelian and non-abelian internal symmetries, space-time symmetries generated by the stress tensor, and W-type of symmetries generated by higher spin currents. |
hep-th/0506216 | Nobuyoshi Ohta | Chiang-Mei Chen, Dmitri V. Gal'tsov and Nobuyoshi Ohta | Intersecting Non-extreme p-Branes and Linear Dilaton Background | 14 pages, v2: references added, v3: minor corrections and refs. added | Phys.Rev. D72 (2005) 044029 | 10.1103/PhysRevD.72.044029 | OU-HET 534, DTP-MSU/05-08 | hep-th gr-qc | null | We construct the general static solution to the supergravity action
containing gravity, the dilaton and a set of antisymmetric forms describing the
intersecting branes delocalized in the relative transverse dimensions. The
solution is obtained by reducing the system to a set of separate Liouville
equations (the intersection rules implying the separability); it contains the
maximal number of free parameters corresponding to the rank of the differential
equations. Imposing the requirement of the absence of naked singularities, we
show that the general configurations are restricted to two and only two
classes: the usual asymptotically flat intersecting branes, and the
intersecting branes some of which are asymptotically flat and some approach the
linear dilaton background at infinity. In both cases the configurations are
black. These are supposed to be relevant for the description of the thermal
phase of the QFT's in the corresponding Domain-Wall/QFT duality.
| [
{
"created": "Sun, 26 Jun 2005 07:42:39 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Jul 2005 06:15:45 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Aug 2005 07:40:41 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Chen",
"Chiang-Mei",
""
],
[
"Gal'tsov",
"Dmitri V.",
""
],
[
"Ohta",
"Nobuyoshi",
""
]
] | We construct the general static solution to the supergravity action containing gravity, the dilaton and a set of antisymmetric forms describing the intersecting branes delocalized in the relative transverse dimensions. The solution is obtained by reducing the system to a set of separate Liouville equations (the intersection rules implying the separability); it contains the maximal number of free parameters corresponding to the rank of the differential equations. Imposing the requirement of the absence of naked singularities, we show that the general configurations are restricted to two and only two classes: the usual asymptotically flat intersecting branes, and the intersecting branes some of which are asymptotically flat and some approach the linear dilaton background at infinity. In both cases the configurations are black. These are supposed to be relevant for the description of the thermal phase of the QFT's in the corresponding Domain-Wall/QFT duality. |
hep-th/0602079 | Alexander A. Chernitskii | Alexander A. Chernitskii | Linear waves around static dyon solution of nonlinear electrodynamics | 31 pages, 2 black-and-white figures (coloured figures see in version
1), published version | Hadronic Journal 29, 497-528 (2006) | null | null | hep-th gr-qc | null | Nonlinear electrodynamics model in hypercomplex form is considered. Its
linearization around a solution is obtained. The appropriate problem for linear
waves around static dyon solution (SDS) of Born-Infeld electrodynamics is
investigated. Two types of wave scattering on SDS are considered: dissipative
(with momentum transmission from plane wave to SDS) and non-dissipative (for
SDS imbedded to an equilibrium wave background). Resonance phenomenon in the
problem is discovered and some resonance frequencies are obtained by using a
numerical method. The form of resonance wave modes are discussed. The sum of a
plane wave (as the elementary component of the wave background) with one
resonance mode is considered. The appropriate energy density is investigated at
infinity. The averaged energy density is demonstrated to have the term
proportional to inverse radius. This fact allow to consider such field
configurations as the cause of gravitational interaction, taking into account
the effective Riemann space effect discovered in my previous works. A behavior
of the linearized solution at origin of coordinates and the problem beyond the
linearization are discussed.
| [
{
"created": "Wed, 8 Feb 2006 19:36:29 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Apr 2007 13:35:09 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Chernitskii",
"Alexander A.",
""
]
] | Nonlinear electrodynamics model in hypercomplex form is considered. Its linearization around a solution is obtained. The appropriate problem for linear waves around static dyon solution (SDS) of Born-Infeld electrodynamics is investigated. Two types of wave scattering on SDS are considered: dissipative (with momentum transmission from plane wave to SDS) and non-dissipative (for SDS imbedded to an equilibrium wave background). Resonance phenomenon in the problem is discovered and some resonance frequencies are obtained by using a numerical method. The form of resonance wave modes are discussed. The sum of a plane wave (as the elementary component of the wave background) with one resonance mode is considered. The appropriate energy density is investigated at infinity. The averaged energy density is demonstrated to have the term proportional to inverse radius. This fact allow to consider such field configurations as the cause of gravitational interaction, taking into account the effective Riemann space effect discovered in my previous works. A behavior of the linearized solution at origin of coordinates and the problem beyond the linearization are discussed. |
1706.02723 | Ke Ye | Ke Ye | On the Chiral Ring and Vacua of ${\cal N}=1$ Adjoint SQCD | 42 pages, 2 figures | null | null | CALT-TH-2017-029 | hep-th hep-ph math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze classical and quantum chiral ring relations of four dimensional
${\cal N} = 1$ adjoint SQCD with superpotential turned on for the adjoint
field. In particular, for the mass deformed theory we obtain the complete on
shell vacuum expectation value for various gauge invariant chiral operators and
find non-trivial gaugino condensations. When approaching to massless limit
nontrivial flat directions in the moduli space of vacua appear, where the
Coulomb branch can be naturally classified and the Higgs branch receives
quantum corrections. We argue that the solution of the chiral ring is in
one-to-one correspondence with supersymmetric vacua, provided that an
additional Konishi anomaly equation is included.
| [
{
"created": "Thu, 8 Jun 2017 18:14:10 GMT",
"version": "v1"
}
] | 2017-06-12 | [
[
"Ye",
"Ke",
""
]
] | We analyze classical and quantum chiral ring relations of four dimensional ${\cal N} = 1$ adjoint SQCD with superpotential turned on for the adjoint field. In particular, for the mass deformed theory we obtain the complete on shell vacuum expectation value for various gauge invariant chiral operators and find non-trivial gaugino condensations. When approaching to massless limit nontrivial flat directions in the moduli space of vacua appear, where the Coulomb branch can be naturally classified and the Higgs branch receives quantum corrections. We argue that the solution of the chiral ring is in one-to-one correspondence with supersymmetric vacua, provided that an additional Konishi anomaly equation is included. |
hep-th/9709218 | Hiroshi Suzuki | Kazuo Fujikawa (Univ. of Tokyo) and Hiroshi Suzuki (Ibaraki Univ.) | Duality in Landau-Zener-Stueckelberg potential curve crossing | 7 pages, 2 figures. LaTeX with espcrc2.sty and epsbox.sty. Invited
talk presented at 7th Asia Pacific Physics Conference, August 19-23, 1997,
Beijing, China (to be published in the Proceedings) | null | null | UT-791; IU-MSTP/25 | hep-th | null | It is pointed out that there exists an interesting strong and weak duality in
the Landau-Zener-Stueckelberg potential curve crossing. A reliable perturbation
theory can thus be formulated in the both limits of weak and strong
interactions. It is shown that main characteristics of the potential crossing
phenomena such as the Landau-Zener formula including its numerical coefficient
are well-described by simple (time-independent) perturbation theory without
referring to Stokes phenomena. A kink-like topological object appears in the
``magnetic'' picture, which is responsible for the absence of the coupling
constant in the prefactor of the Landau-Zener formula. It is also shown that
quantum coherence in a double well potential is generally suppressed by the
effect of potential curve crossing, which is analogous to the effect of Ohmic
dissipation on quantum coherence.
| [
{
"created": "Tue, 30 Sep 1997 09:06:27 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Fujikawa",
"Kazuo",
"",
"Univ. of Tokyo"
],
[
"Suzuki",
"Hiroshi",
"",
"Ibaraki Univ."
]
] | It is pointed out that there exists an interesting strong and weak duality in the Landau-Zener-Stueckelberg potential curve crossing. A reliable perturbation theory can thus be formulated in the both limits of weak and strong interactions. It is shown that main characteristics of the potential crossing phenomena such as the Landau-Zener formula including its numerical coefficient are well-described by simple (time-independent) perturbation theory without referring to Stokes phenomena. A kink-like topological object appears in the ``magnetic'' picture, which is responsible for the absence of the coupling constant in the prefactor of the Landau-Zener formula. It is also shown that quantum coherence in a double well potential is generally suppressed by the effect of potential curve crossing, which is analogous to the effect of Ohmic dissipation on quantum coherence. |
hep-th/9803172 | Joao Barcelos Neto | R. Amorim and J. Barcelos-Neto | Axial and gauge anomalies in a theory with one and two-form gauge fields | 9 pages, Latex - To appear in Phys. Lett. B | Phys.Lett. B426 (1998) 329-333 | 10.1016/S0370-2693(98)00284-6 | null | hep-th | null | We study the problem of axial and gauge anomalies in a reducible theory
involving vector and tensor gauge fields coupled in a topological way. We
consider that vector and axial fermionic currents couple with the tensor field
in the same topological manner as the vector gauge one. This kind of coupling
leads to an anomalous axial current, contrarily to the results found in
literature involving other tensor couplings, where no anomaly is obtained.
| [
{
"created": "Fri, 20 Mar 1998 16:52:17 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Amorim",
"R.",
""
],
[
"Barcelos-Neto",
"J.",
""
]
] | We study the problem of axial and gauge anomalies in a reducible theory involving vector and tensor gauge fields coupled in a topological way. We consider that vector and axial fermionic currents couple with the tensor field in the same topological manner as the vector gauge one. This kind of coupling leads to an anomalous axial current, contrarily to the results found in literature involving other tensor couplings, where no anomaly is obtained. |
hep-th/9911092 | Poul Henrik Damgaard | M. Grigoriev, P.H. Damgaard | Superfield BRST Charge and the Master Action | 9 pages, LaTeX2e | Phys.Lett. B474 (2000) 323-330 | 10.1016/S0370-2693(00)00050-2 | null | hep-th | null | Using a superfield formulation of extended phase space, we propose a new form
of the Hamiltonian action functional. A remarkable feature of this construction
is that it directly leads to the BV master action on phase space. Conversely,
superspace can be used to construct nilpotent BRST charges directly from
solutions to the classical Lagrangian Master Equation. We comment on the
relation between these constructions and the specific master action proposal of
Alexandrov, Kontsevich, Schwarz and Zaboronsky.
| [
{
"created": "Fri, 12 Nov 1999 16:36:53 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Dec 1999 15:03:42 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Grigoriev",
"M.",
""
],
[
"Damgaard",
"P. H.",
""
]
] | Using a superfield formulation of extended phase space, we propose a new form of the Hamiltonian action functional. A remarkable feature of this construction is that it directly leads to the BV master action on phase space. Conversely, superspace can be used to construct nilpotent BRST charges directly from solutions to the classical Lagrangian Master Equation. We comment on the relation between these constructions and the specific master action proposal of Alexandrov, Kontsevich, Schwarz and Zaboronsky. |
1710.04646 | Ibrahim Akal | Ibrahim Akal, Gudrid Moortgat-Pick | Quantum tunnelling from vacuum in multidimensions | 11 pages, 9 figures | Phys. Rev. D 96, 096027 (2017) | 10.1103/PhysRevD.96.096027 | DESY 17-159 | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The tunnelling of virtual matter-antimatter pairs from the quantum vacuum in
multidimensions is studied. We consider electric backgrounds as a linear
combination of a spatial Sauter field and, interchangeably, certain weaker time
dependent fields without poles in the complex plane such as the sinusoidal and
Gaussian cases. Based on recent geometric considerations within the worldline
formalism, we employ the relevant critical points in order to analytically
estimate a characteristic threshold for the temporal inhomogeneity. We set
appropriate initial conditions and apply additional symmetry constraints in
order to determine the classical periodic paths in spacetime. Using these
worldline instantons, we compute the corresponding leading order exponential
factors showing large dynamical enhancement in general. We work out the main
differences caused by the analytic structure of such composite backgrounds and
also discuss the case with a strong temporal variation of Sauter-type.
| [
{
"created": "Thu, 12 Oct 2017 17:56:11 GMT",
"version": "v1"
}
] | 2017-12-06 | [
[
"Akal",
"Ibrahim",
""
],
[
"Moortgat-Pick",
"Gudrid",
""
]
] | The tunnelling of virtual matter-antimatter pairs from the quantum vacuum in multidimensions is studied. We consider electric backgrounds as a linear combination of a spatial Sauter field and, interchangeably, certain weaker time dependent fields without poles in the complex plane such as the sinusoidal and Gaussian cases. Based on recent geometric considerations within the worldline formalism, we employ the relevant critical points in order to analytically estimate a characteristic threshold for the temporal inhomogeneity. We set appropriate initial conditions and apply additional symmetry constraints in order to determine the classical periodic paths in spacetime. Using these worldline instantons, we compute the corresponding leading order exponential factors showing large dynamical enhancement in general. We work out the main differences caused by the analytic structure of such composite backgrounds and also discuss the case with a strong temporal variation of Sauter-type. |
hep-th/0503195 | Andrei Linde | Andrei Linde | Inflation and String Cosmology | 40 pages, 9 figures, an extended version of my talks at the SLAC
Summer School "Nature's Greatest Puzzles," at the conference Cosmo04 in
Toronto, at the VI Mexican School on Gravitation, and at the XXII Texas
Symposium on Relativistic Astrophysics in 2004 | Prog.Theor.Phys.Suppl.163:295-322,2006 | 10.1143/PTPS.163.295 | SU-ITP-05/11 | hep-th astro-ph gr-qc hep-ph | null | After 25 years of its existence, inflationary theory gradually becomes the
standard cosmological paradigm. However, we still do not know which of the many
versions of inflationary cosmology will be favored by the future observational
data. Moreover, it may be quite nontrivial to obtain a natural realization of
inflationary theory in the context of the ever changing theory of all
fundamental interactions. In this paper I will describe the history and the
present status of inflationary cosmology, including recent attempts to
implement inflation in the context of string theory.
| [
{
"created": "Thu, 24 Mar 2005 22:34:10 GMT",
"version": "v1"
}
] | 2011-05-24 | [
[
"Linde",
"Andrei",
""
]
] | After 25 years of its existence, inflationary theory gradually becomes the standard cosmological paradigm. However, we still do not know which of the many versions of inflationary cosmology will be favored by the future observational data. Moreover, it may be quite nontrivial to obtain a natural realization of inflationary theory in the context of the ever changing theory of all fundamental interactions. In this paper I will describe the history and the present status of inflationary cosmology, including recent attempts to implement inflation in the context of string theory. |
hep-th/0612070 | Ling Yan Hung Hung Miss | Ling-Yan Hung | Intersecting D7-Branes, I5-Branes and Conifolds | 25 pages Typos corrected. Added comment on the mass and probe
analysis Version to be published in JHEP | JHEP 0703:071,2007 | 10.1088/1126-6708/2007/03/071 | DAMTP-2006-118 | hep-th | null | A candidate supergravity solution of intersecting D7-branes with a
five-dimensional intersecting domain (an I5-brane) is presented. This displays
an enhanced Poincare symmetry and supersymmetry away from the brane cores. We
also explore the possibility of a relation between the intersection region of
D7-branes and conifolds through F-theory.
| [
{
"created": "Fri, 8 Dec 2006 10:37:19 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Feb 2007 11:25:51 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Mar 2007 11:24:34 GMT",
"version": "v3"
}
] | 2010-10-27 | [
[
"Hung",
"Ling-Yan",
""
]
] | A candidate supergravity solution of intersecting D7-branes with a five-dimensional intersecting domain (an I5-brane) is presented. This displays an enhanced Poincare symmetry and supersymmetry away from the brane cores. We also explore the possibility of a relation between the intersection region of D7-branes and conifolds through F-theory. |
hep-th/0210165 | Robert Brandenberger | Robert H. Brandenberger | Back Reaction of Cosmological Perturbations and the Cosmological
Constant Problem | plenary talk at the XVIII'th IAP Colloquium `On the Nature of Dark
Energy', IAP Paris, July 1 - 5, 2002; 10 pages | null | null | BROWN-HET-1330 | hep-th astro-ph gr-qc hep-ph | null | The presence of cosmological fluctuations influences the background cosmology
in which the perturbations evolve. This back-reaction arises as a second order
effect in the cosmological perturbation expansion. The effect is cumulative in
the sense that all fluctuation modes contribute to the change in the background
geometry, and as a consequence the back-reaction effect can be large even if
the amplitude of the fluctuation spectrum is small. We review two approaches
used to quantify back-reaction. In the first approach, the effect of the
fluctuations on the background is expressed in terms of an effective
energy-momentum tensor. We show that in the context of an inflationary
background cosmology, the long wavelength contributions to the effective
energy-momentum tensor take the form of a negative cosmological constant, whose
absolute value increases as a function of time since the phase space of
infrared modes is increasing. This then leads to the speculation that
gravitational back-reaction may lead to a dynamical cancellation mechanism for
a bare cosmological constant, and yield a scaling fixed point in the asymptotic
future in which the remnant cosmological constant satisfies $\Omega_{\Lambda}
\sim 1$. We then discuss how infrared modes effect local observables (as
opposed to mathematical background quantities) and find that the leading
infrared back-reaction contributions cancel in single field inflationary
models. However, we expect non-trivial back-reaction of infrared modes in
models with more than one matter field.
| [
{
"created": "Thu, 17 Oct 2002 13:52:48 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Brandenberger",
"Robert H.",
""
]
] | The presence of cosmological fluctuations influences the background cosmology in which the perturbations evolve. This back-reaction arises as a second order effect in the cosmological perturbation expansion. The effect is cumulative in the sense that all fluctuation modes contribute to the change in the background geometry, and as a consequence the back-reaction effect can be large even if the amplitude of the fluctuation spectrum is small. We review two approaches used to quantify back-reaction. In the first approach, the effect of the fluctuations on the background is expressed in terms of an effective energy-momentum tensor. We show that in the context of an inflationary background cosmology, the long wavelength contributions to the effective energy-momentum tensor take the form of a negative cosmological constant, whose absolute value increases as a function of time since the phase space of infrared modes is increasing. This then leads to the speculation that gravitational back-reaction may lead to a dynamical cancellation mechanism for a bare cosmological constant, and yield a scaling fixed point in the asymptotic future in which the remnant cosmological constant satisfies $\Omega_{\Lambda} \sim 1$. We then discuss how infrared modes effect local observables (as opposed to mathematical background quantities) and find that the leading infrared back-reaction contributions cancel in single field inflationary models. However, we expect non-trivial back-reaction of infrared modes in models with more than one matter field. |
hep-th/0406118 | Gabriel Cardoso | G. L. Cardoso, G. Curio, G. Dall'Agata and D. Lust | Gaugino Condensation and Generation of Supersymmetric 3-Form Flux | 29 pages, Latex | JHEP 0409:059,2004 | 10.1088/1126-6708/2004/09/059 | HU-EP-04/29, MPP-2004-64 | hep-th | null | We extend the linearised solution of Polchinski and Strassler describing the
supergravity dual of the N=1* gauge theory. By analysing the equations of
motion of type IIB supergravity at cubic order in the mass perturbation
parameter, we demonstrate the emergence of a 3-form flux of type (3,0) with
respect to the natural complex structure. The generation of this flux can be
associated to the dynamical formation of a gaugino condensate in the confining
phase of the N=1* gauge theory. We also check that the supersymmetry conditions
are satisfied, and we discuss how this (3,0)-form flux is tied to the existence
of a supersymmetric background with SU(2)-structure.
| [
{
"created": "Mon, 14 Jun 2004 12:18:21 GMT",
"version": "v1"
}
] | 2009-10-07 | [
[
"Cardoso",
"G. L.",
""
],
[
"Curio",
"G.",
""
],
[
"Dall'Agata",
"G.",
""
],
[
"Lust",
"D.",
""
]
] | We extend the linearised solution of Polchinski and Strassler describing the supergravity dual of the N=1* gauge theory. By analysing the equations of motion of type IIB supergravity at cubic order in the mass perturbation parameter, we demonstrate the emergence of a 3-form flux of type (3,0) with respect to the natural complex structure. The generation of this flux can be associated to the dynamical formation of a gaugino condensate in the confining phase of the N=1* gauge theory. We also check that the supersymmetry conditions are satisfied, and we discuss how this (3,0)-form flux is tied to the existence of a supersymmetric background with SU(2)-structure. |
hep-th/0103010 | Noah Graham | N. Graham, R. L. Jaffe, M. Quandt, and H. Weigel | Quantum Energies of Interfaces | 8 pages, 1 figure, minor changes, Phys. Rev. Lett., in print | Phys.Rev.Lett. 87 (2001) 131601 | 10.1103/PhysRevLett.87.131601 | MIT-CTP#3088, UNITU-HEP-07/2001 | hep-th hep-ph math-ph math.MP nucl-th quant-ph | null | We present a method for computing the one-loop, renormalized quantum energies
of symmetrical interfaces of arbitrary dimension and codimension using
elementary scattering data. Internal consistency requires finite-energy sum
rules relating phase shifts to bound state energies.
| [
{
"created": "Thu, 1 Mar 2001 23:47:32 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Aug 2001 07:31:31 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Graham",
"N.",
""
],
[
"Jaffe",
"R. L.",
""
],
[
"Quandt",
"M.",
""
],
[
"Weigel",
"H.",
""
]
] | We present a method for computing the one-loop, renormalized quantum energies of symmetrical interfaces of arbitrary dimension and codimension using elementary scattering data. Internal consistency requires finite-energy sum rules relating phase shifts to bound state energies. |
2208.02262 | Jaroslav Trnka | Shruti Paranjape, Jaroslav Trnka, Minshan Zheng | Non-planar BCFW Grassmannian Geometries | 68 pages, 105 figures | null | 10.1007/JHEP12(2022)084 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we study non-adjacent BCFW recursion relations and their
connection to positive geometry. For an adjacent BCFW shift, the $n$-point
N$^k$MHV tree-level amplitude in ${\cal N}=4$ SYM theory is expressed as a sum
over planar on-shell diagrams, corresponding to canonical dlog forms on the
cells in the positive Grassmannian $G_+(k,n)$. Non-adjacent BCFW shifts
naturally lead to an expansion of the amplitude in terms of a different set of
objects, which do not manifest the cyclic ordering and the hidden Yangian
symmetry of the amplitude. We show that these terms can be interpreted as dlog
forms on the non-planar Grassmannian geometries, generalizing the cells of the
positive Grassmannian $G_+(k,n)$ to a larger class of objects which live in
$G(k,n)$. We focus mainly on the case of NMHV amplitudes and discuss in detail
the Grassmannian geometries. We also propose an alternative way to calculate
the associated on-shell functions and dlog forms using an intriguing connection
between Grassmannian configurations and the geometry in the kinematical space.
| [
{
"created": "Wed, 3 Aug 2022 18:00:01 GMT",
"version": "v1"
}
] | 2023-01-04 | [
[
"Paranjape",
"Shruti",
""
],
[
"Trnka",
"Jaroslav",
""
],
[
"Zheng",
"Minshan",
""
]
] | In this paper, we study non-adjacent BCFW recursion relations and their connection to positive geometry. For an adjacent BCFW shift, the $n$-point N$^k$MHV tree-level amplitude in ${\cal N}=4$ SYM theory is expressed as a sum over planar on-shell diagrams, corresponding to canonical dlog forms on the cells in the positive Grassmannian $G_+(k,n)$. Non-adjacent BCFW shifts naturally lead to an expansion of the amplitude in terms of a different set of objects, which do not manifest the cyclic ordering and the hidden Yangian symmetry of the amplitude. We show that these terms can be interpreted as dlog forms on the non-planar Grassmannian geometries, generalizing the cells of the positive Grassmannian $G_+(k,n)$ to a larger class of objects which live in $G(k,n)$. We focus mainly on the case of NMHV amplitudes and discuss in detail the Grassmannian geometries. We also propose an alternative way to calculate the associated on-shell functions and dlog forms using an intriguing connection between Grassmannian configurations and the geometry in the kinematical space. |
hep-th/9508164 | null | Erasmo Recami | The Tolman "Antitelephone" Paradox: Its Solution by Tachyon Mechanics | null | Lett.Nuovo Cim.44:587-593,1985; Electron.J.Theor.Phys.6:1-8,2009 | null | null | hep-th | null | Some recent experiments led to the claim that something can travel faster
than light in vacuum. However, such results do not seem to place relativistic
causality in jeopardy. Actually, it is possible to solve also the known causal
paradoxes, devised for "faster than $c$" motion: even if this is not widely
recognized. Here we want to show, in detail and rigorously, how to solve the
oldest causal paradox, originally proposed by Tolman, which is the kernel of so
many further tachyon paradoxes. The key to the solution is a careful
application of {\em tachyon mechanics}, that can be unambiguously derived from
special relativity.
| [
{
"created": "Wed, 30 Aug 1995 08:53:11 GMT",
"version": "v1"
}
] | 2010-02-05 | [
[
"Recami",
"Erasmo",
""
]
] | Some recent experiments led to the claim that something can travel faster than light in vacuum. However, such results do not seem to place relativistic causality in jeopardy. Actually, it is possible to solve also the known causal paradoxes, devised for "faster than $c$" motion: even if this is not widely recognized. Here we want to show, in detail and rigorously, how to solve the oldest causal paradox, originally proposed by Tolman, which is the kernel of so many further tachyon paradoxes. The key to the solution is a careful application of {\em tachyon mechanics}, that can be unambiguously derived from special relativity. |
hep-th/9809012 | Damir Raktityansky | Yu. A. Sitenko and D. G. Rakityansky | Vacuum Energy Induced by an External Magnetic Field in a Curved Space | 7 pages, LaTeX | Phys.Atom.Nucl. 61 (1998) 790-801; Yad.Fiz. 61N5 (1998) 790-801 | null | null | hep-th | null | The asymptotic expansion of the product of an operator raised to an arbitrary
power and an exponential function of this operator is obtained. With the aid of
this expansion, the density of vacuum energy induced by a static external
magnetic field of an Abelian or non-Abelian nature is expressed in terms of the
DeWitt-Seeley-Gilkey coefficients.
| [
{
"created": "Wed, 2 Sep 1998 07:16:38 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Sitenko",
"Yu. A.",
""
],
[
"Rakityansky",
"D. G.",
""
]
] | The asymptotic expansion of the product of an operator raised to an arbitrary power and an exponential function of this operator is obtained. With the aid of this expansion, the density of vacuum energy induced by a static external magnetic field of an Abelian or non-Abelian nature is expressed in terms of the DeWitt-Seeley-Gilkey coefficients. |
hep-th/0403086 | Yakov Shnir | Yasha Shnir | Multimonopoles and closed vortices in SU(2) Yang-Mills-Higgs theory | 34 pages, 8 figures. Invited contribution prepared for Review Volume
"Etudes on Theoretical Physics" dedicated to 65th anniversary of the
Department of Theoretical Physics, Belarus State University, Minsk. Based on
a work in collaboration with Jutta Kunz and Burkhard Kleihaus. Any comments
and suggestions, especially with respect to references, are welcome | null | 10.1142/9789812702296_0008 | null | hep-th | null | We review classical monopole solutions of the SU(2) Yang-Mills-Higgs theory.
The first part is a pedagogical introduction into to the basic features of the
celebrated 't Hooft - Polyakov monopole. In the second part we describe new
classes of static axially symmetric solutions which generalise 't Hooft -
Polyakov monopole. These configurations are either deformations of the
topologically trivial sector or the sectors with different topological charges.
In both situations we construct the solutions representing the chains of
monopoles and antimonopoles in static equilibrium. The solutions of another
type are closed vortices which are centred around the symmetry axis and form
different bound systems. Configurations of the third type are monopoles bounded
with vortices. We suggest classification of these solutions which is related
with 2d Poincare index.
| [
{
"created": "Mon, 8 Mar 2004 14:42:40 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Shnir",
"Yasha",
""
]
] | We review classical monopole solutions of the SU(2) Yang-Mills-Higgs theory. The first part is a pedagogical introduction into to the basic features of the celebrated 't Hooft - Polyakov monopole. In the second part we describe new classes of static axially symmetric solutions which generalise 't Hooft - Polyakov monopole. These configurations are either deformations of the topologically trivial sector or the sectors with different topological charges. In both situations we construct the solutions representing the chains of monopoles and antimonopoles in static equilibrium. The solutions of another type are closed vortices which are centred around the symmetry axis and form different bound systems. Configurations of the third type are monopoles bounded with vortices. We suggest classification of these solutions which is related with 2d Poincare index. |
hep-th/0102023 | Patrick J. Fox | Z. Chacko and Patrick J. Fox | Wave Function of the Radion in the dS and AdS Brane Worlds | Version which appears in Phys. Rev. D | Phys.Rev.D64:024015,2001 | 10.1103/PhysRevD.64.024015 | null | hep-th | null | We study the linearized metric perturbation corresponding to the radion for
the generalization of the five dimensional two brane setup of Randall and
Sundrum to the case when the curvature of each brane is locally constant but
non-zero. We find the wave fuction of the radion in a coordinate system where
each brane is sitting at a fixed value of the extra coordinate. We find that
the radion now has a mass$^2$, which is negative for the case of de Sitter
branes but positive for anti de Sitter branes. We also determine the couplings
of the radion to matter on the branes, and construct the four dimensional
effective theory for the radion valid at low energies. In particular we find
that in AdS space the wave function of the radion is always normalizable and
hence its effects, though small, remain finite at arbitrarily large brane
separations.
| [
{
"created": "Mon, 5 Feb 2001 23:32:03 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Jul 2001 20:34:33 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Chacko",
"Z.",
""
],
[
"Fox",
"Patrick J.",
""
]
] | We study the linearized metric perturbation corresponding to the radion for the generalization of the five dimensional two brane setup of Randall and Sundrum to the case when the curvature of each brane is locally constant but non-zero. We find the wave fuction of the radion in a coordinate system where each brane is sitting at a fixed value of the extra coordinate. We find that the radion now has a mass$^2$, which is negative for the case of de Sitter branes but positive for anti de Sitter branes. We also determine the couplings of the radion to matter on the branes, and construct the four dimensional effective theory for the radion valid at low energies. In particular we find that in AdS space the wave function of the radion is always normalizable and hence its effects, though small, remain finite at arbitrarily large brane separations. |
1512.00143 | Masayoshi Nakamura | M. Nakamura | Alternative Approach to Noncommutative Quantum Mechanics on a Curved
Space | 18 pages, some changes; in sect.3, sect.4, sect.5 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Starting with the first-order singular Lagrangian containing the redundant
variables, the noncommutative quantum mechanics on a curved space is
investigated by the constraint star-product quantization formalism of the
projection operator method. Imposing the additional constraints to eliminate
the reduntant degrees of freedom, the noncommutative quantum system with
noncommutativity among the coordinates on the curved space is exactly
constructed. Then, it is shown that the resultant Hamiltonian contains the
quantum corrections in the exact form. We further discuss the additional
constraints to realize the noncommutativities both of coordinates and momenta
on the curved space.
| [
{
"created": "Tue, 1 Dec 2015 05:26:41 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Dec 2015 12:34:40 GMT",
"version": "v2"
},
{
"created": "Wed, 2 Mar 2016 05:05:15 GMT",
"version": "v3"
},
{
"created": "Sat, 12 Mar 2016 10:37:38 GMT",
"version": "v4"
},
{
"cre... | 2016-10-06 | [
[
"Nakamura",
"M.",
""
]
] | Starting with the first-order singular Lagrangian containing the redundant variables, the noncommutative quantum mechanics on a curved space is investigated by the constraint star-product quantization formalism of the projection operator method. Imposing the additional constraints to eliminate the reduntant degrees of freedom, the noncommutative quantum system with noncommutativity among the coordinates on the curved space is exactly constructed. Then, it is shown that the resultant Hamiltonian contains the quantum corrections in the exact form. We further discuss the additional constraints to realize the noncommutativities both of coordinates and momenta on the curved space. |
2212.01637 | Jordan Cotler | Jordan Cotler, Annie Y. Wei | Quantum Scars in Quantum Field Theory | 7+32 pages, 2 figures | null | 10.1103/PhysRevD.107.125005 | null | hep-th cond-mat.str-el nlin.CD quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop the theory of quantum scars for quantum fields. By generalizing
the formalisms of Heller and Bogomolny from few-body quantum mechanics to
quantum fields, we find that unstable periodic classical solutions of the field
equations imprint themselves in a precise manner on bands of energy
eigenfunctions. This indicates a breakdown of thermalization at certain energy
scales, in a manner that can be characterized via semiclassics. As an explicit
example, we consider time-periodic non-topological solitons in complex scalar
field theories. We find that an unstable variant of Q-balls, called Q-clouds,
induce quantum scars. Some technical contributions of our work include methods
for characterizing moduli spaces of periodic orbits in field theories, which
are essential for formulating our quantum scar formula. We further discuss
potential connections with quantum many-body scars in Rydberg atom arrays.
| [
{
"created": "Sat, 3 Dec 2022 15:43:36 GMT",
"version": "v1"
}
] | 2023-06-21 | [
[
"Cotler",
"Jordan",
""
],
[
"Wei",
"Annie Y.",
""
]
] | We develop the theory of quantum scars for quantum fields. By generalizing the formalisms of Heller and Bogomolny from few-body quantum mechanics to quantum fields, we find that unstable periodic classical solutions of the field equations imprint themselves in a precise manner on bands of energy eigenfunctions. This indicates a breakdown of thermalization at certain energy scales, in a manner that can be characterized via semiclassics. As an explicit example, we consider time-periodic non-topological solitons in complex scalar field theories. We find that an unstable variant of Q-balls, called Q-clouds, induce quantum scars. Some technical contributions of our work include methods for characterizing moduli spaces of periodic orbits in field theories, which are essential for formulating our quantum scar formula. We further discuss potential connections with quantum many-body scars in Rydberg atom arrays. |
1512.03914 | Dong-han Yeom | Pisin Chen, Yao-Chieh Hu, Dong-han Yeom | Two interpretations of thin-shell instantons | 19 pages, 10 figures | Phys. Rev. D 94, 024044 (2016) | 10.1103/PhysRevD.94.024044 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For O(4)-symmetric instantons, there are two complementary interpretations
for their analytic continuations. One is the nothing-to-something
interpretation, where the initial and final hypersurfaces are disconnected by
Euclidean manifolds. The other is the something-to-something interpretation,
introduced by Brown and Weinberg, where the initial and final hypersurfaces are
connected by the Euclidean manifold. These interpretations have their own pros
and cons and hence they are complementary. In this paper, we consider analytic
continuations of thin-shell instantons that have less symmetry, i.e., the
spherical symmetry. When we consider the
Farhi-Guth-Guven/Fischler-Morgan-Polchinski tunneling, the
something-to-something interpretation has been used in the usual literature. On
the other hand, we can apply the nothing-to-something interpretation with some
limited conditions. We argue that for both interpretations, we can give the
consistent decay rate. As we apply and interpret what follows the
nothing-to-something interpretation, a stationary black hole can emit an
expanding shell that results in a spacetime without a singularity or event
horizon.
| [
{
"created": "Sat, 12 Dec 2015 14:12:37 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jul 2016 10:09:44 GMT",
"version": "v2"
}
] | 2016-07-27 | [
[
"Chen",
"Pisin",
""
],
[
"Hu",
"Yao-Chieh",
""
],
[
"Yeom",
"Dong-han",
""
]
] | For O(4)-symmetric instantons, there are two complementary interpretations for their analytic continuations. One is the nothing-to-something interpretation, where the initial and final hypersurfaces are disconnected by Euclidean manifolds. The other is the something-to-something interpretation, introduced by Brown and Weinberg, where the initial and final hypersurfaces are connected by the Euclidean manifold. These interpretations have their own pros and cons and hence they are complementary. In this paper, we consider analytic continuations of thin-shell instantons that have less symmetry, i.e., the spherical symmetry. When we consider the Farhi-Guth-Guven/Fischler-Morgan-Polchinski tunneling, the something-to-something interpretation has been used in the usual literature. On the other hand, we can apply the nothing-to-something interpretation with some limited conditions. We argue that for both interpretations, we can give the consistent decay rate. As we apply and interpret what follows the nothing-to-something interpretation, a stationary black hole can emit an expanding shell that results in a spacetime without a singularity or event horizon. |
1903.12419 | Alfredo Guevara | Yilber Fabian Bautista and Alfredo Guevara | From Scattering Amplitudes to Classical Physics: Universality, Double
Copy and Soft Theorems | 5+2 pages. v2: Minor corrections, references added. Fixed
transcription error in eq 30 | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a covariant Multipole Expansion for the scattering of a massive
particle emitting photons or gravitons in $D$ dimensions. We find that these
amplitudes exhibit very powerful features such as universality, soft
exponentiation, orbit and spin multipoles, etc. Using ${\rm{SO}}(D)$
representation theory we show that the photon and graviton amplitudes are
related via a new double copy procedure for massive spinning states. All these
features are then promoted to properties of the observables arising in the
classical version of such theories. Focusing on radiation, we provide two main
applications: 1) An exponential Soft Theorem relating conservative effects and
gravitational radiation to all orders in $\omega$; whose leading order directly
leads to the $D=4$ Memory Effect. 2) A classical double copy to evaluate
gravitational radiation from QED Bremsstrahlung, matching previous classical
computations and extending them to spin-quadrupole order.
| [
{
"created": "Fri, 29 Mar 2019 09:49:37 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Jun 2019 20:52:21 GMT",
"version": "v2"
}
] | 2019-06-17 | [
[
"Bautista",
"Yilber Fabian",
""
],
[
"Guevara",
"Alfredo",
""
]
] | We introduce a covariant Multipole Expansion for the scattering of a massive particle emitting photons or gravitons in $D$ dimensions. We find that these amplitudes exhibit very powerful features such as universality, soft exponentiation, orbit and spin multipoles, etc. Using ${\rm{SO}}(D)$ representation theory we show that the photon and graviton amplitudes are related via a new double copy procedure for massive spinning states. All these features are then promoted to properties of the observables arising in the classical version of such theories. Focusing on radiation, we provide two main applications: 1) An exponential Soft Theorem relating conservative effects and gravitational radiation to all orders in $\omega$; whose leading order directly leads to the $D=4$ Memory Effect. 2) A classical double copy to evaluate gravitational radiation from QED Bremsstrahlung, matching previous classical computations and extending them to spin-quadrupole order. |
1506.05898 | Mitsutoshi Fujita | Han-Chih Chang, Mitsutoshi Fujita, Matthias Kaminski | Hydrodynamics in 1+1 dimensions from Maxwell-Chern-Simons theory in
AdS_3 | 4 pages. Contribution to Sakata Memorial KMI Workshop on "Origin of
Mass and Strong Coupling Gauge Theories (SCGT15)", 3-6 March 2015, Nagoya
University, to appear in the proceedings v2: a reference added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this presentation we review our work on Abelian Maxwell-Chern-Simons
theory in three-dimensional AdS black brane backgrounds, with both integer and
non-integer Chern-Simons coupling. Such theories can be derived from several
string theory constructions, and we found exact solutions in the low frequency,
low momentum limit (omega, k << T, the hydrodynamic limit). Our results are
translated into correlation functions of vector operators in the dual strongly
coupled 1+1-dimensional quantum field theory with a chiral anomaly at non-zero
temperature T, via the holographic correspondence. The applicability of the
hydrodynamic limit is discussed, together with the comparison between an exact
field theoretic computation and the found holographic correlation functions in
the conformal case.
| [
{
"created": "Fri, 19 Jun 2015 08:00:34 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Jun 2015 03:43:17 GMT",
"version": "v2"
}
] | 2015-06-30 | [
[
"Chang",
"Han-Chih",
""
],
[
"Fujita",
"Mitsutoshi",
""
],
[
"Kaminski",
"Matthias",
""
]
] | In this presentation we review our work on Abelian Maxwell-Chern-Simons theory in three-dimensional AdS black brane backgrounds, with both integer and non-integer Chern-Simons coupling. Such theories can be derived from several string theory constructions, and we found exact solutions in the low frequency, low momentum limit (omega, k << T, the hydrodynamic limit). Our results are translated into correlation functions of vector operators in the dual strongly coupled 1+1-dimensional quantum field theory with a chiral anomaly at non-zero temperature T, via the holographic correspondence. The applicability of the hydrodynamic limit is discussed, together with the comparison between an exact field theoretic computation and the found holographic correlation functions in the conformal case. |
1304.1540 | Phillip Szepietowski | Arash Arabi Ardehali, James T. Liu and Phillip Szepietowski | The spectrum of IIB supergravity on AdS_5 x S^5/Z_3 and a 1/N^2 test of
AdS/CFT | 21 pages, minor clarification added | JHEP 2013 (6), 024 | 10.1007/JHEP06(2013)024 | MCTP-13-08 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the complete Kaluza-Klein spectrum resulting from the
compactification of IIB supergravity on S^5/Z_3. Knowledge of this spectrum
allows us to perform a holographic computation of the difference of central
charges c-a of the dual SU(N)^3 quiver gauge theory. We find the numerical
value c-a=3/16, in exact agreement with the field theory result.
| [
{
"created": "Thu, 4 Apr 2013 20:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Apr 2013 16:21:50 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Ardehali",
"Arash Arabi",
""
],
[
"Liu",
"James T.",
""
],
[
"Szepietowski",
"Phillip",
""
]
] | We present the complete Kaluza-Klein spectrum resulting from the compactification of IIB supergravity on S^5/Z_3. Knowledge of this spectrum allows us to perform a holographic computation of the difference of central charges c-a of the dual SU(N)^3 quiver gauge theory. We find the numerical value c-a=3/16, in exact agreement with the field theory result. |
2112.03286 | Domenico Orlando | Thiago Araujo, Omar Celikbas, Domenico Orlando, Susanne Reffert | 2D CFTs - Large Charge is not enough | 18 pages. Version accepted in Phys.Rev.D | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we study two-dimensional CFTs at large global charge. Since the
large-charge sector decouples from the dynamics, it does not control the
dynamics and an EFT construction that works in higher-dimensional theories
fails. It is however possible to use large charge in a double-scaling limit
when another controlling parameter is present. We find some general features of
the spectrum of models that admit an NLSM description in a WKB approximation
and use the large-charge sector of the solvable $SU(2)_k$ WZW model to argue
the regimes of applicability of both the large-Q expansion and the
double-scaling limit.
| [
{
"created": "Mon, 6 Dec 2021 19:00:01 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Mar 2022 13:56:29 GMT",
"version": "v2"
}
] | 2022-04-01 | [
[
"Araujo",
"Thiago",
""
],
[
"Celikbas",
"Omar",
""
],
[
"Orlando",
"Domenico",
""
],
[
"Reffert",
"Susanne",
""
]
] | In this note we study two-dimensional CFTs at large global charge. Since the large-charge sector decouples from the dynamics, it does not control the dynamics and an EFT construction that works in higher-dimensional theories fails. It is however possible to use large charge in a double-scaling limit when another controlling parameter is present. We find some general features of the spectrum of models that admit an NLSM description in a WKB approximation and use the large-charge sector of the solvable $SU(2)_k$ WZW model to argue the regimes of applicability of both the large-Q expansion and the double-scaling limit. |
0806.3951 | Zarembo | J. A. Minahan and K. Zarembo | The Bethe ansatz for superconformal Chern-Simons | 22 pages, 9 figures; v2 Overall normalization of the Hamiltonian
corrected and missing diagram contributing to two-site interactions included.
Typos fixed; v3 Figure 8 corrected; v4 Misprints corrected; v5 Correct
figures recovered. Published version; v6: misprints in (3.15), (3.16), (3.17)
corrected | JHEP 0809:040,2008 | 10.1088/1126-6708/2008/09/040 | ITEP-TH-30/08, LPTENS-08/32, UUITP-13/08 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the anomalous dimensions for scalar operators for a
three-dimensional Chern-Simons theory recently proposed in arXiv:0806.1218. We
show that the mixing matrix at two-loop order is that for an integrable
Hamiltonian of an SU(4) spin chain with sites alternating between the
fundamental and the anti-fundamental representations. We find a set of Bethe
equations from which the anomalous dimensions can be determined and give a
proposal for the Bethe equations to the full superconformal group of
OSp(2,2|6).
| [
{
"created": "Tue, 24 Jun 2008 19:36:25 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Jun 2008 14:11:39 GMT",
"version": "v2"
},
{
"created": "Sun, 6 Jul 2008 15:12:25 GMT",
"version": "v3"
},
{
"created": "Thu, 4 Sep 2008 18:17:00 GMT",
"version": "v4"
},
{
"cre... | 2009-07-09 | [
[
"Minahan",
"J. A.",
""
],
[
"Zarembo",
"K.",
""
]
] | We study the anomalous dimensions for scalar operators for a three-dimensional Chern-Simons theory recently proposed in arXiv:0806.1218. We show that the mixing matrix at two-loop order is that for an integrable Hamiltonian of an SU(4) spin chain with sites alternating between the fundamental and the anti-fundamental representations. We find a set of Bethe equations from which the anomalous dimensions can be determined and give a proposal for the Bethe equations to the full superconformal group of OSp(2,2|6). |
1209.3559 | Shesansu Sekhar Pal | Shesansu Sekhar Pal | Fermi-like Liquid From Einstein-DBI-Dilaton System | 1+39 pages, LATEX, v2: Connection with the BI black holes made,
associated references and acknowledgment added, v3: Solutions in arbitrary
spacetime both at UV and IR, especially the scale symmetry violating
solution, improved presentation, ref added, v4: More improvements and
accepted for publication in JHEP | JHEP 1304 (2013) 007 | null | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have obtained an expression of the entropy density depending on the scale
transformation of the spatial directions in the field theory. It takes the
following form in $d+1$ dimensional bulk spacetime: $s\sim
T^{\f{\delta(d-1)-\theta}{z}}_H$, where $z$ and $T_H$ are the dynamical
exponent and temperature in the field theory, respectively. $\theta$ is related
to the scaling violation exponent, whereas $\delta$ gives us the information
about the scaling behavior of the spatial field theoretic direction. This we
demonstrate by finding solutions to the Einstein-DBI-dilaton system in generic
spacetime dimensions. Upon restricting to $d=3$, we show the linear temperature
dependence of the specific heat and inverse quadratic temperature dependence of
the resistivity for $z=2,\theta=0$ and $\delta=1$, which resembles that of the
Fermi-like liquid. Whereas for $z=2, \theta=-2$ and $\delta=0$ gives us a
solution that is conformal to $AdS_2\otimes R^2$, which resembles with the
non-Fermi-like liquid. Moreover, it shows the logarithmic violation of the
entanglement entropy when the entangling region is of the strip type.
| [
{
"created": "Mon, 17 Sep 2012 06:19:27 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Sep 2012 06:36:07 GMT",
"version": "v2"
},
{
"created": "Fri, 14 Dec 2012 13:00:30 GMT",
"version": "v3"
},
{
"created": "Thu, 14 Mar 2013 10:47:24 GMT",
"version": "v4"
},
{
"c... | 2013-04-12 | [
[
"Pal",
"Shesansu Sekhar",
""
]
] | We have obtained an expression of the entropy density depending on the scale transformation of the spatial directions in the field theory. It takes the following form in $d+1$ dimensional bulk spacetime: $s\sim T^{\f{\delta(d-1)-\theta}{z}}_H$, where $z$ and $T_H$ are the dynamical exponent and temperature in the field theory, respectively. $\theta$ is related to the scaling violation exponent, whereas $\delta$ gives us the information about the scaling behavior of the spatial field theoretic direction. This we demonstrate by finding solutions to the Einstein-DBI-dilaton system in generic spacetime dimensions. Upon restricting to $d=3$, we show the linear temperature dependence of the specific heat and inverse quadratic temperature dependence of the resistivity for $z=2,\theta=0$ and $\delta=1$, which resembles that of the Fermi-like liquid. Whereas for $z=2, \theta=-2$ and $\delta=0$ gives us a solution that is conformal to $AdS_2\otimes R^2$, which resembles with the non-Fermi-like liquid. Moreover, it shows the logarithmic violation of the entanglement entropy when the entangling region is of the strip type. |
1212.2735 | Yu-Xiao Liu | Ke Yang, Yu-Xiao Liu, Yuan Zhong, Xiao-Long Du, Shao-Wen Wei | Gravity localization and mass hierarchy in scalar-tensor branes | 5 pages, publication version as a Brief Report in Physical Review D | Phys. Rev. D 86, 127502 (2012) | 10.1103/PhysRevD.86.127502 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a braneworld model in the scalar-tensor gravity. In order to
solve the gauge hierarchy problem in this model, our world should be confined
on the positive tension brane rather than on the negative one. This is crucial
to reproduce a correct Friedmann-like equation on the brane. Interestingly, it
is found that the spacing of mass spectrum in this scenario is very tiny, but
the light gravitons cannot be observed individually in colliders because of
their sufficiently weak interaction with matter fields on the visible brane.
| [
{
"created": "Wed, 12 Dec 2012 08:48:27 GMT",
"version": "v1"
}
] | 2012-12-13 | [
[
"Yang",
"Ke",
""
],
[
"Liu",
"Yu-Xiao",
""
],
[
"Zhong",
"Yuan",
""
],
[
"Du",
"Xiao-Long",
""
],
[
"Wei",
"Shao-Wen",
""
]
] | We consider a braneworld model in the scalar-tensor gravity. In order to solve the gauge hierarchy problem in this model, our world should be confined on the positive tension brane rather than on the negative one. This is crucial to reproduce a correct Friedmann-like equation on the brane. Interestingly, it is found that the spacing of mass spectrum in this scenario is very tiny, but the light gravitons cannot be observed individually in colliders because of their sufficiently weak interaction with matter fields on the visible brane. |
1304.7753 | Guillaume Bossard | G. Bossard, P. S. Howe and K. S. Stelle | Invariants and divergences in half-maximal supergravity theories | 81 pages | null | 10.1007/JHEP07(2013)117 | CPHT-RR027.0413, KCL-MTH-13-05, Imperial/TP/13/KSS/01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The invariants in half-maximal supergravity theories in D=4,5 are discussed
in detail up to dimension eight (e.g. R^4). In D=4, owing to the anomaly in the
rigid SL(2,R) duality symmetry, the restrictions on divergences need careful
treatment. In pure N=4 supergravity, this anomalous symmetry still implies
duality invariance of candidate counterterms at three loops. Provided one makes
the additional assumption that there exists a full 16-supercharge off-shell
formulation of the theory, counterterms at L>1 loops would also have to be
writable as full-superspace integrals. At the three-loop order such a
duality-invariant full-superspace integral candidate counterterm exists, but
its duality invariance is marginal in the sense that the full-superspace
counter-Lagrangian is not itself duality-invariant. We show that such marginal
invariants are not allowable as counterterms in a 16-supercharge off-shell
formalism. It is not possible to draw the same conclusion when vector
multiplets are present because of the appearance of F^4 terms in the SL(2,R)
anomaly. In D=5 there is no one-loop anomaly in the shift invariance of the
dilaton, and we argue that this implies finiteness at two loops, again subject
to the assumption that 16 supercharges can be preserved off-shell.
| [
{
"created": "Mon, 29 Apr 2013 19:41:55 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Bossard",
"G.",
""
],
[
"Howe",
"P. S.",
""
],
[
"Stelle",
"K. S.",
""
]
] | The invariants in half-maximal supergravity theories in D=4,5 are discussed in detail up to dimension eight (e.g. R^4). In D=4, owing to the anomaly in the rigid SL(2,R) duality symmetry, the restrictions on divergences need careful treatment. In pure N=4 supergravity, this anomalous symmetry still implies duality invariance of candidate counterterms at three loops. Provided one makes the additional assumption that there exists a full 16-supercharge off-shell formulation of the theory, counterterms at L>1 loops would also have to be writable as full-superspace integrals. At the three-loop order such a duality-invariant full-superspace integral candidate counterterm exists, but its duality invariance is marginal in the sense that the full-superspace counter-Lagrangian is not itself duality-invariant. We show that such marginal invariants are not allowable as counterterms in a 16-supercharge off-shell formalism. It is not possible to draw the same conclusion when vector multiplets are present because of the appearance of F^4 terms in the SL(2,R) anomaly. In D=5 there is no one-loop anomaly in the shift invariance of the dilaton, and we argue that this implies finiteness at two loops, again subject to the assumption that 16 supercharges can be preserved off-shell. |
0709.2270 | Adrian Tanasa | Adrian Tanasa | Overview of the parametric representation of renormalizable
non-commutative field theory | 10 pages, 3 figures, to be published in "Journal of Physics:
Conference Series" | J.Phys.Conf.Ser.103:012012,2008 | 10.1088/1742-6596/103/1/012012 | LPT-ORSAY-07-83 | hep-th | null | We review here the parametric representation of Feynman amplitudes of
renormalizable non-commutative quantum field models.
| [
{
"created": "Fri, 14 Sep 2007 12:16:07 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Tanasa",
"Adrian",
""
]
] | We review here the parametric representation of Feynman amplitudes of renormalizable non-commutative quantum field models. |
hep-th/0601181 | Toshiaki Fujimori | Minoru Eto, Toshiaki Fujimori, Youichi Isozumi, Muneto Nitta, Keisuke
Ohashi, Kazutoshi Ohta, Norisuke Sakai | Non-Abelian Vortices on Cylinder -- Duality between vortices and walls | 33 pages, 17 figures, v2: references added, typos corrected, the
final version published in PRD | Phys.Rev.D73:085008,2006 | 10.1103/PhysRevD.73.085008 | TIT/HEP-548, RIKEN-TH-63 | hep-th | null | We investigate vortices on a cylinder in supersymmetric non-Abelian gauge
theory with hypermultiplets in the fundamental representation. We identify
moduli space of periodic vortices and find that a pair of wall-like objects
appears as the vortex moduli is varied. Usual domain walls also can be obtained
from the single vortex on the cylinder by introducing a twisted boundary
condition. We can understand these phenomena as a T-duality among D-brane
configurations in type II superstring theories. Using this T-duality picture,
we find a one-to-one correspondence between the moduli space of non-Abelian
vortices and that of kinky D-brane configurations for domain walls.
| [
{
"created": "Tue, 24 Jan 2006 12:32:10 GMT",
"version": "v1"
},
{
"created": "Mon, 8 May 2006 12:39:59 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Eto",
"Minoru",
""
],
[
"Fujimori",
"Toshiaki",
""
],
[
"Isozumi",
"Youichi",
""
],
[
"Nitta",
"Muneto",
""
],
[
"Ohashi",
"Keisuke",
""
],
[
"Ohta",
"Kazutoshi",
""
],
[
"Sakai",
"Norisuke",
""
]
] | We investigate vortices on a cylinder in supersymmetric non-Abelian gauge theory with hypermultiplets in the fundamental representation. We identify moduli space of periodic vortices and find that a pair of wall-like objects appears as the vortex moduli is varied. Usual domain walls also can be obtained from the single vortex on the cylinder by introducing a twisted boundary condition. We can understand these phenomena as a T-duality among D-brane configurations in type II superstring theories. Using this T-duality picture, we find a one-to-one correspondence between the moduli space of non-Abelian vortices and that of kinky D-brane configurations for domain walls. |
2408.07893 | Tadashi Okazaki | Tadashi Okazaki, Douglas J. Smith | Chern-Simons theories with defects, Rogers-Ramanujan type functions and
eta-products | 68 pages | null | null | null | hep-th math.CO math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the line defect half-indices of 3d $\mathcal{N}=2$ supersymmetric
Chern-Simons (CS) theories with (special)unitary, symplectic, orthogonal and
exceptional gauge groups. We find that they have several beautiful infinite
product $q$-series expressions in terms of Ramanujan's general theta function.
For the theories with fundamental chiral multiplets, the pairs of the Neumann
half-indices and one-point functions of the fundamental Wilson lines form a
basis for the line defect indices in terms of the Rogers-Ramanujan type
functions. Furthermore, the theories with an adjoint chiral admit the
expressions as the eta-products. In particular, for the $SU(N)_{-2N}$ CS
theory, there is a one-to-one correspondence between the BPS boundary local
operators and the $N$-core partitions.
| [
{
"created": "Thu, 15 Aug 2024 02:51:15 GMT",
"version": "v1"
}
] | 2024-08-16 | [
[
"Okazaki",
"Tadashi",
""
],
[
"Smith",
"Douglas J.",
""
]
] | We study the line defect half-indices of 3d $\mathcal{N}=2$ supersymmetric Chern-Simons (CS) theories with (special)unitary, symplectic, orthogonal and exceptional gauge groups. We find that they have several beautiful infinite product $q$-series expressions in terms of Ramanujan's general theta function. For the theories with fundamental chiral multiplets, the pairs of the Neumann half-indices and one-point functions of the fundamental Wilson lines form a basis for the line defect indices in terms of the Rogers-Ramanujan type functions. Furthermore, the theories with an adjoint chiral admit the expressions as the eta-products. In particular, for the $SU(N)_{-2N}$ CS theory, there is a one-to-one correspondence between the BPS boundary local operators and the $N$-core partitions. |
hep-th/0103080 | Carlos Nunez | Carlos Nunez (Harvard U.), I. Y. Park (Texas A&M), Martin Schvellinger
(MIT-LNS) and Tuan A. Tran (Texas A&M) | Supergravity duals of gauge theories from F(4) gauged supergravity in
six dimensions | 26 pages, 3 figures, minor changes and references added to match the
published version | JHEP 0104:025,2001 | 10.1088/1126-6708/2001/04/025 | CTP-MIT-3094, CTP TAMU-09/01 | hep-th | null | We construct supergravity solutions dual to twisted field theories that are
the worldvolume theories of D4-branes wrapped on 2, 3-cycles, and NS-fivebranes
on 3-cycles. We first obtain the solutions for the Romans' six-dimensional
gauged supergravity theories and then up-lift them to ten dimensions. In
particular, we find solutions for field configurations with either non-Abelian
fields or B-fields being excited. One of these solutions, in the massless case,
is up-lifted to the massless type IIA string theory. This is the first example
of such a kind. The cases studied provide new examples of the AdS/CFT duality
involving twisted field theories.
| [
{
"created": "Sun, 11 Mar 2001 23:17:06 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Jun 2001 20:57:57 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Nunez",
"Carlos",
"",
"Harvard U."
],
[
"Park",
"I. Y.",
"",
"Texas A&M"
],
[
"Schvellinger",
"Martin",
"",
"MIT-LNS"
],
[
"Tran",
"Tuan A.",
"",
"Texas A&M"
]
] | We construct supergravity solutions dual to twisted field theories that are the worldvolume theories of D4-branes wrapped on 2, 3-cycles, and NS-fivebranes on 3-cycles. We first obtain the solutions for the Romans' six-dimensional gauged supergravity theories and then up-lift them to ten dimensions. In particular, we find solutions for field configurations with either non-Abelian fields or B-fields being excited. One of these solutions, in the massless case, is up-lifted to the massless type IIA string theory. This is the first example of such a kind. The cases studied provide new examples of the AdS/CFT duality involving twisted field theories. |
hep-th/0308051 | Midodashvili Pavle | P.Midodashvili | Gravitational Trapping of the Bulk Fields in 6D | 7 pages, revtex4; added references | null | null | null | hep-th | null | We present two new solutions to Einstein's equations in (1+5)-spacetime with
a positive bulk cosmological constant. One solution has increasing and another
solution decreasing bounded scale function without singularities in the range
from the origin r=0 to the radial infinity. For the both solutions it is shown
that all local fields are localized near the origin r=0 in the extra space
through the gravitational interaction.
| [
{
"created": "Thu, 7 Aug 2003 02:25:50 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Aug 2003 16:20:25 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Midodashvili",
"P.",
""
]
] | We present two new solutions to Einstein's equations in (1+5)-spacetime with a positive bulk cosmological constant. One solution has increasing and another solution decreasing bounded scale function without singularities in the range from the origin r=0 to the radial infinity. For the both solutions it is shown that all local fields are localized near the origin r=0 in the extra space through the gravitational interaction. |
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