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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0510084
|
Hiroyuki Abe
|
Hiroyuki Abe
|
Gauged $U(1)_R$ supergravity on orbifold
|
4 pages, 8 figures, talk presented at the 11th International
Symposium on Particles, Strings and Cosmology (PASCOS'05), May 30 - June 4,
2005, Gyeongju, Korea
| null |
10.1063/1.2149726
| null |
hep-th hep-ph
| null |
We discuss a gauged $U(1)_R$ supergravity on five-dimensional orbifold
($S^1/Z_2$) in which a $Z_2$-even U(1) gauge field takes part in the $U(1)_R$
gauging, and show the structure of Fayet-Iliopoulos (FI) terms allowed in such
model. Some physical consequences of the FI terms are examined.
|
[
{
"created": "Tue, 11 Oct 2005 06:38:20 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Abe",
"Hiroyuki",
""
]
] |
We discuss a gauged $U(1)_R$ supergravity on five-dimensional orbifold ($S^1/Z_2$) in which a $Z_2$-even U(1) gauge field takes part in the $U(1)_R$ gauging, and show the structure of Fayet-Iliopoulos (FI) terms allowed in such model. Some physical consequences of the FI terms are examined.
|
2308.05261
|
Wu-Zhong Guo
|
Wu-zhong Guo, Jiaju Zhang
|
Sum rule for the pseudo-R\'enyi entropy
|
Match the published version
|
Phys. Rev. D 109, 106008(2024)
|
10.1103/PhysRevD.109.106008
| null |
hep-th cond-mat.stat-mech quant-ph
|
http://creativecommons.org/publicdomain/zero/1.0/
|
By generalizing the density matrix to a transition matrix between two states,
represented as $|\phi\rangle$ and $|\psi\rangle$, one can define the
pseudoentropy analogous to the entanglement entropy. In this paper, we
establish an operator sum rule that pertains to the reduced transition matrix
and reduced density matrices corresponding to the superposition states of
$|\phi\rangle$ and $|\psi\rangle$. It is demonstrated that the off-diagonal
elements of operators can be correlated with the expectation value in the
superposition state. Furthermore, we illustrate the connection between the
pseudo-R\'enyi entropy and the R\'enyi entropy of the superposition states. We
provide proof of the operator sum rule and verify its validity in both
finite-dimensional systems and quantum field theory. We additionally
demonstrate the significance of these sum rules in gaining insights into the
physical implications of transition matrices, pseudoentropy, and their gravity
dual.
|
[
{
"created": "Wed, 9 Aug 2023 23:53:35 GMT",
"version": "v1"
},
{
"created": "Tue, 14 May 2024 05:58:20 GMT",
"version": "v2"
}
] |
2024-05-15
|
[
[
"Guo",
"Wu-zhong",
""
],
[
"Zhang",
"Jiaju",
""
]
] |
By generalizing the density matrix to a transition matrix between two states, represented as $|\phi\rangle$ and $|\psi\rangle$, one can define the pseudoentropy analogous to the entanglement entropy. In this paper, we establish an operator sum rule that pertains to the reduced transition matrix and reduced density matrices corresponding to the superposition states of $|\phi\rangle$ and $|\psi\rangle$. It is demonstrated that the off-diagonal elements of operators can be correlated with the expectation value in the superposition state. Furthermore, we illustrate the connection between the pseudo-R\'enyi entropy and the R\'enyi entropy of the superposition states. We provide proof of the operator sum rule and verify its validity in both finite-dimensional systems and quantum field theory. We additionally demonstrate the significance of these sum rules in gaining insights into the physical implications of transition matrices, pseudoentropy, and their gravity dual.
|
hep-th/0407133
|
Marcelo Gomes
|
M. A. Anacleto, M. Gomes, A. J. da Silva, D. Spehler
|
Noncommutative Correction to the Aharonov-Bohm Scattering: a Field
Theory Approach
|
20 pages, 5 figures
|
Phys.Rev.D70:085005,2004; Erratum-ibid.D70:089903,2004;
Erratum-ibid.D70:129905,2004
|
10.1103/PhysRevD.70.085005 10.1103/PhysRevD.70.089903
10.1103/PhysRevD.70.129905
| null |
hep-th
| null |
We study a noncommutative nonrelativistic theory in 2+1 dimensions of a
scalar field coupled to the Chern-Simons field. In the commutative situation
this model has been used to simulate the Aharonov-Bohm effect in the field
theory context. We verified that, contrarily to the commutative result, the
inclusion of a quartic self-interaction of the scalar field is not necessary to
secure the ultraviolet renormalizability of the model. However, to obtain a
smooth commutative limit the presence of a quartic gauge invariant
self-interaction is required. For small noncommutativity we fix the corrections
to the Aharonov-Bohm scattering and prove that up to one-loop the model is free
from dangerous infrared/ultraviolet divergences.
|
[
{
"created": "Thu, 15 Jul 2004 14:13:51 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Anacleto",
"M. A.",
""
],
[
"Gomes",
"M.",
""
],
[
"da Silva",
"A. J.",
""
],
[
"Spehler",
"D.",
""
]
] |
We study a noncommutative nonrelativistic theory in 2+1 dimensions of a scalar field coupled to the Chern-Simons field. In the commutative situation this model has been used to simulate the Aharonov-Bohm effect in the field theory context. We verified that, contrarily to the commutative result, the inclusion of a quartic self-interaction of the scalar field is not necessary to secure the ultraviolet renormalizability of the model. However, to obtain a smooth commutative limit the presence of a quartic gauge invariant self-interaction is required. For small noncommutativity we fix the corrections to the Aharonov-Bohm scattering and prove that up to one-loop the model is free from dangerous infrared/ultraviolet divergences.
|
hep-th/9404127
| null |
J.L. Vazquez-Bello
|
The Quantum Mechanics of a "Spinor-twin" Type II Superparticle
|
8 pages. TeX-file
| null | null | null |
hep-th
| null |
Ten dimensional supersymmetric Yang-Mills theory may be described, in the
light-cone gauge, in terms of either a vector or spinor superfield satisfying
certain projection conditions (type I or II). These have been presented in a $
SO(9,1) $ form, and used to construct spinning superparticle theories in
extended spaces. This letter presents the covariant quantisation of a
"spinor-twin" type II superparticle theory by using the standard techniques of
Batalin and Vilkovisky. The quantum action defines a quadratic field theory,
whose ghost-independent BRST cohomology class gives the spectrum of N=1 super
Yang-Mills.
|
[
{
"created": "Wed, 20 Apr 1994 21:41:41 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Vazquez-Bello",
"J. L.",
""
]
] |
Ten dimensional supersymmetric Yang-Mills theory may be described, in the light-cone gauge, in terms of either a vector or spinor superfield satisfying certain projection conditions (type I or II). These have been presented in a $ SO(9,1) $ form, and used to construct spinning superparticle theories in extended spaces. This letter presents the covariant quantisation of a "spinor-twin" type II superparticle theory by using the standard techniques of Batalin and Vilkovisky. The quantum action defines a quadratic field theory, whose ghost-independent BRST cohomology class gives the spectrum of N=1 super Yang-Mills.
|
hep-th/9706036
|
Hans-Christian Pauli
|
H.C. Pauli (MPI Kernphysik, Heidelberg, Germany)
|
Towards solving gauge-field theory
|
Latex, 12 pages, 4 figures
| null | null | null |
hep-th hep-ph
| null |
The canonical front form Hamiltonian for non-Abelian SU(N) gauge theory in
3+1 dimensions is mapped non-perturbatively on an effective Hamiltonian which
acts only in the Fock space of a quark and an antiquark. The approach is based
on the novel method of iterated resolvents and on discretized light-cone
quantization, driven to the continuum limit. It is free of the usual
Tamm-Dancoff truncations of the Fock space, rather the perturbative series are
consistently resumed to all orders in the coupling constant. Emphasis is put on
dealing with the many-body aspects of gauge field theory. The effective
interaction turns out to be the kernel of an integral equation in the momentum
space of a single quark, which is frame-independent and solvable on
comparatively small computers. Important is that the higher Fock-space
amplitudes can be retrieved self-consistently from these solutions.
|
[
{
"created": "Thu, 5 Jun 1997 16:43:57 GMT",
"version": "v1"
}
] |
2009-09-25
|
[
[
"Pauli",
"H. C.",
"",
"MPI Kernphysik, Heidelberg, Germany"
]
] |
The canonical front form Hamiltonian for non-Abelian SU(N) gauge theory in 3+1 dimensions is mapped non-perturbatively on an effective Hamiltonian which acts only in the Fock space of a quark and an antiquark. The approach is based on the novel method of iterated resolvents and on discretized light-cone quantization, driven to the continuum limit. It is free of the usual Tamm-Dancoff truncations of the Fock space, rather the perturbative series are consistently resumed to all orders in the coupling constant. Emphasis is put on dealing with the many-body aspects of gauge field theory. The effective interaction turns out to be the kernel of an integral equation in the momentum space of a single quark, which is frame-independent and solvable on comparatively small computers. Important is that the higher Fock-space amplitudes can be retrieved self-consistently from these solutions.
|
2304.00666
|
Bruno Alexandre
|
Bruno Alexandre, Raymond Isichei, Jo\~ao Magueijo
|
Unitary and Vilenkin's wave functions
|
13 pages, 7 figures
|
Phys.Rev.D 108 (2023) 2, 023526
|
10.1103/PhysRevD.108.023526
| null |
hep-th
|
http://creativecommons.org/licenses/by-nc-nd/4.0/
|
It is remarkably difficult to reconcile unitary and Vilenkin's wave function.
For example, the natural conserved inner product found in quantum unimodular
gravity applies to the Hartle-Hawking wave function, but fails for its Vilenkin
counterpart. We diagnose this failure from different angles (Laplace transform
instead of Fourier transform, non-Hermiticity of the Hamiltonian, etc) to
conclude that ultimately it stems from allowing the connection to become
imaginary in a section of its contour. In turn this is the unavoidable
consequence of representing the Euclidean theory as an imaginary image within a
fundamentally Lorentzian theory. It is nonetheless possible to change the
underlying theory and replace the connection's foray into the imaginary axis by
an actual signature change (with the connection, action and Hamiltonian
remaining real). The structural obstacles to unitarity are then removed, but
special care must still be taken, because the Euclidean theory {\it a priori}
has boundaries, so that appropriate boundary conditions are required for
unitarity. Reflecting boundary conditions would reinstate a Hartle-Hawking-like
solution in the Lorentzian regime. To exclude an incoming wave in the
Lorentzian domain one must allow a semi-infinite tower of spheres in the
Euclidean region, wave packets travelling through successive spheres for half
an eternity in unimodular time. Such "Sisyphus" boundary condition no longer
even vaguely resembles Vilenkin's original proposal.
|
[
{
"created": "Mon, 3 Apr 2023 00:35:56 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Aug 2023 13:43:43 GMT",
"version": "v2"
}
] |
2023-08-09
|
[
[
"Alexandre",
"Bruno",
""
],
[
"Isichei",
"Raymond",
""
],
[
"Magueijo",
"João",
""
]
] |
It is remarkably difficult to reconcile unitary and Vilenkin's wave function. For example, the natural conserved inner product found in quantum unimodular gravity applies to the Hartle-Hawking wave function, but fails for its Vilenkin counterpart. We diagnose this failure from different angles (Laplace transform instead of Fourier transform, non-Hermiticity of the Hamiltonian, etc) to conclude that ultimately it stems from allowing the connection to become imaginary in a section of its contour. In turn this is the unavoidable consequence of representing the Euclidean theory as an imaginary image within a fundamentally Lorentzian theory. It is nonetheless possible to change the underlying theory and replace the connection's foray into the imaginary axis by an actual signature change (with the connection, action and Hamiltonian remaining real). The structural obstacles to unitarity are then removed, but special care must still be taken, because the Euclidean theory {\it a priori} has boundaries, so that appropriate boundary conditions are required for unitarity. Reflecting boundary conditions would reinstate a Hartle-Hawking-like solution in the Lorentzian regime. To exclude an incoming wave in the Lorentzian domain one must allow a semi-infinite tower of spheres in the Euclidean region, wave packets travelling through successive spheres for half an eternity in unimodular time. Such "Sisyphus" boundary condition no longer even vaguely resembles Vilenkin's original proposal.
|
0802.3793
|
Chaiho Rim Prof
|
Chaiho Rim
|
Interacting scalar field theory in $\kappa$-Minkowski spacetime
|
14 pages, 6 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct an complex scalar field theory in $\kappa$-Minkowksi spacetime,
which respects $\kappa$-deformed Poincar\'e symmetry. One-loop calculation
shows that the theory is finite and needs finite renormalization to be
compatible with the $\kappa \to \infty$ limit. The loop result also has an
imaginary valued correction due to the complex poles present in the propagator.
|
[
{
"created": "Tue, 26 Feb 2008 12:07:29 GMT",
"version": "v1"
}
] |
2008-02-27
|
[
[
"Rim",
"Chaiho",
""
]
] |
We construct an complex scalar field theory in $\kappa$-Minkowksi spacetime, which respects $\kappa$-deformed Poincar\'e symmetry. One-loop calculation shows that the theory is finite and needs finite renormalization to be compatible with the $\kappa \to \infty$ limit. The loop result also has an imaginary valued correction due to the complex poles present in the propagator.
|
1212.3472
|
Michael Warschawski
|
Michael Warschawski
|
Wilson Loops of Klebanov-Strassler like Wrapped Brane Models
|
20 pages, 24 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe the behaviour of the Wilson loops for wrapped $D5$ systems. We
start with the simplest such system possible and then add features to it bit by
bit, and show how the Wilson loop is affected by them. This analysis led to the
discovery of phase transitions. An interpretation why they occur is given and
that knowledge is then used to construct systems with several phase
transitions.
|
[
{
"created": "Fri, 14 Dec 2012 13:53:12 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Dec 2013 11:51:37 GMT",
"version": "v2"
}
] |
2013-12-17
|
[
[
"Warschawski",
"Michael",
""
]
] |
We describe the behaviour of the Wilson loops for wrapped $D5$ systems. We start with the simplest such system possible and then add features to it bit by bit, and show how the Wilson loop is affected by them. This analysis led to the discovery of phase transitions. An interpretation why they occur is given and that knowledge is then used to construct systems with several phase transitions.
|
2311.01897
|
Supalert Sukrakarn
|
Supalert Sukrakarn, Taewon Yuk, Sang-Jin Sin
|
Mean field theory for strongly coupled systems: Holographic approach
|
32 pages, 10 figures, Updated version
|
Journal of High Energy Physics 2024(6):1-36
|
10.1007/JHEP06(2024)100
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we develop the holographic mean field theory for strongly
interacting fermion systems. We investigate various types of the
symmetry-breakings and their effect on the spectral function. We found analytic
expressions of fermion Green's functions in the probe-limit for all types of
tensor order parameter fields. We classified the spectral shapes and
singularity types from the analytic Green's function. We calculated the
fermions spectral function in the full backreacted background and then compared
it with the analytic results to show the reliability of analytic results in the
probe limit.
|
[
{
"created": "Fri, 3 Nov 2023 13:13:43 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Jan 2024 11:42:59 GMT",
"version": "v2"
}
] |
2024-06-24
|
[
[
"Sukrakarn",
"Supalert",
""
],
[
"Yuk",
"Taewon",
""
],
[
"Sin",
"Sang-Jin",
""
]
] |
In this paper, we develop the holographic mean field theory for strongly interacting fermion systems. We investigate various types of the symmetry-breakings and their effect on the spectral function. We found analytic expressions of fermion Green's functions in the probe-limit for all types of tensor order parameter fields. We classified the spectral shapes and singularity types from the analytic Green's function. We calculated the fermions spectral function in the full backreacted background and then compared it with the analytic results to show the reliability of analytic results in the probe limit.
|
2207.00285
|
Diganta Parai
|
Diganta Parai, Suchetana Pal, Sunandan Gangopadhyay
|
Effects of massive gravity on $s$-wave holographic superconductor
|
17 pages
|
International Journal of Modern Physics A Vol. 38, Nos. 4 & 5
(2023) 2350032 (16 pages)
|
10.1142/S0217751X2350032X
|
Vol. 38, Nos. 4 & 5 (2023) 2350032 (16 pages)
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Analytical investigation of the properties of $s$-wave holographic
superconductors in the background of a massive gravity theory in the probe
limit has been carried out employing the Sturm-Liouville eigenvalue method . We
obtain the analytical expression for the relation between the critical
temperature and the charge density. We also obtain the expression for the
condensation operator and value of the critical exponent. Our findings show
that as we increase the massive gravity couplings the critical temperature
increases and the condensate decreases. More precisely we observe that the
presence of massive graviton increases the critical temperature compared to the
superconductors in Einstein gravity at some point if we keep on increasing the
coupling constants. We also obtain the frequency dependence of conductivity by
solving analytically the wave equation for electromagnetic perturbations. From
the real part of the conductivity, we finally estimate the energy band gap.
|
[
{
"created": "Fri, 1 Jul 2022 09:28:37 GMT",
"version": "v1"
}
] |
2023-05-03
|
[
[
"Parai",
"Diganta",
""
],
[
"Pal",
"Suchetana",
""
],
[
"Gangopadhyay",
"Sunandan",
""
]
] |
Analytical investigation of the properties of $s$-wave holographic superconductors in the background of a massive gravity theory in the probe limit has been carried out employing the Sturm-Liouville eigenvalue method . We obtain the analytical expression for the relation between the critical temperature and the charge density. We also obtain the expression for the condensation operator and value of the critical exponent. Our findings show that as we increase the massive gravity couplings the critical temperature increases and the condensate decreases. More precisely we observe that the presence of massive graviton increases the critical temperature compared to the superconductors in Einstein gravity at some point if we keep on increasing the coupling constants. We also obtain the frequency dependence of conductivity by solving analytically the wave equation for electromagnetic perturbations. From the real part of the conductivity, we finally estimate the energy band gap.
|
1610.05317
|
Pulak Banerjee
|
Taushif Ahmed, Pulak Banerjee, Prasanna K. Dhani, Narayan Rana, V.
Ravindran and Satyajit Seth
|
Konishi Form Factor at Three Loop in ${\cal N}=4$ SYM
|
7 pages
|
Phys. Rev. D 95, 085019 (2017)
|
10.1103/PhysRevD.95.085019
|
MITP/16-107
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the first results on the third order corrections to on-shell form
factor (FF) of the Konishi operator in ${\cal N}=4$ supersymmetric Yang-Mills
theory using Feynman diagrammatic approach in modified dimensional reduction
($\overline {DR}$) scheme. We show that it satisfies KG equation in $\overline
{DR}$ scheme while the result obtained in four dimensional helicity (FDH)
scheme needs to be suitably modified not only to satisfy the KG equation but
also to get the correct ultraviolet (UV) anomalous dimensions. We find that the
cusp, soft and collinear anomalous dimensions obtained to third order are same
as those of the FF of the half-BPS operator confirming the universality of the
infrared (IR) structures of on-shell form factors. In addition, the highest
transcendental terms of the FF of Konishi operator are identical to those of
half-BPS operator indicating the probable existence of deeper structure of the
on-shell FF. We also confirm the UV anomalous dimensions of Konishi operator up
to third order providing a consistency check on the both UV and universal IR
structures in ${\cal N}=4$.
|
[
{
"created": "Mon, 17 Oct 2016 20:00:10 GMT",
"version": "v1"
}
] |
2017-05-03
|
[
[
"Ahmed",
"Taushif",
""
],
[
"Banerjee",
"Pulak",
""
],
[
"Dhani",
"Prasanna K.",
""
],
[
"Rana",
"Narayan",
""
],
[
"Ravindran",
"V.",
""
],
[
"Seth",
"Satyajit",
""
]
] |
We present the first results on the third order corrections to on-shell form factor (FF) of the Konishi operator in ${\cal N}=4$ supersymmetric Yang-Mills theory using Feynman diagrammatic approach in modified dimensional reduction ($\overline {DR}$) scheme. We show that it satisfies KG equation in $\overline {DR}$ scheme while the result obtained in four dimensional helicity (FDH) scheme needs to be suitably modified not only to satisfy the KG equation but also to get the correct ultraviolet (UV) anomalous dimensions. We find that the cusp, soft and collinear anomalous dimensions obtained to third order are same as those of the FF of the half-BPS operator confirming the universality of the infrared (IR) structures of on-shell form factors. In addition, the highest transcendental terms of the FF of Konishi operator are identical to those of half-BPS operator indicating the probable existence of deeper structure of the on-shell FF. We also confirm the UV anomalous dimensions of Konishi operator up to third order providing a consistency check on the both UV and universal IR structures in ${\cal N}=4$.
|
hep-th/0306281
|
Lorenzo Sorbo
|
David Langlois, Lorenzo Sorbo
|
Bulk gravitons from a cosmological brane
|
27 pages, 5 figures, minor corrections. Final version
|
Phys.Rev.D68:084006,2003
|
10.1103/PhysRevD.68.084006
| null |
hep-th astro-ph hep-ph
| null |
We investigate the emission of gravitons by a cosmological brane into an Anti
de Sitter five-dimensional bulk spacetime. We focus on the distribution of
gravitons in the bulk and the associated production of `dark radiation' in this
process. In order to evaluate precisely the amount of dark radiation in the
late low-energy regime, corresponding to standard cosmology, we study
numerically the emission, propagation and bouncing off the brane of bulk
gravitons.
|
[
{
"created": "Fri, 27 Jun 2003 15:50:08 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Aug 2003 12:07:21 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Langlois",
"David",
""
],
[
"Sorbo",
"Lorenzo",
""
]
] |
We investigate the emission of gravitons by a cosmological brane into an Anti de Sitter five-dimensional bulk spacetime. We focus on the distribution of gravitons in the bulk and the associated production of `dark radiation' in this process. In order to evaluate precisely the amount of dark radiation in the late low-energy regime, corresponding to standard cosmology, we study numerically the emission, propagation and bouncing off the brane of bulk gravitons.
|
1210.4191
|
Chi-Hsien Yeh
|
Chen-Te Ma, Chi-Hsien Yeh
|
Supersymmetry and BPS States on D4-brane in Large C-field Background
|
v1: 23 pages ; v2: 24 pages, references and footnote added. v3: few
sentences rewriting
| null |
10.1007/JHEP03(2013)131
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we continue our previous study of the low energy effective
theory for D4-brane in the large C-field background. The gauge field part of
the effective action was found in an earlier work. In this paper, we focus on
the matter field part of the action and the supersymmetry transformation.
Moreover, we calculate the central charges of super algebra and extensively
study BPS solutions of this effective theory. The BPS states considered in this
paper include light-like gauge field configurations, the F1 ending on D4
solution, tilted D4-brane, BPS solution with two types of magnetic charges (D2
ending on D4), holomorphic embedding of D4-brane and the intersection of two
D4-branes along a 2-brane.
|
[
{
"created": "Mon, 15 Oct 2012 20:54:14 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Oct 2012 17:49:07 GMT",
"version": "v2"
},
{
"created": "Fri, 2 Nov 2012 11:19:03 GMT",
"version": "v3"
}
] |
2015-06-11
|
[
[
"Ma",
"Chen-Te",
""
],
[
"Yeh",
"Chi-Hsien",
""
]
] |
In this paper, we continue our previous study of the low energy effective theory for D4-brane in the large C-field background. The gauge field part of the effective action was found in an earlier work. In this paper, we focus on the matter field part of the action and the supersymmetry transformation. Moreover, we calculate the central charges of super algebra and extensively study BPS solutions of this effective theory. The BPS states considered in this paper include light-like gauge field configurations, the F1 ending on D4 solution, tilted D4-brane, BPS solution with two types of magnetic charges (D2 ending on D4), holomorphic embedding of D4-brane and the intersection of two D4-branes along a 2-brane.
|
1306.4339
|
Aalok Misra
|
Mansi Dhuria, Aalok Misra
|
Towards MQGP
|
1+58 pages, LaTeX; v4 some minor corrections, results unchanged
|
JHEP 1311 (2013) 001
|
10.1007/JHEP11(2013)001
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For the Ouyang embedding we calculate the chemical potential mu_C due to a
U(1) gauge field on the w.v. of N_f D7-branes wrapped around a 4-cycle in a
resolved warped deformed conifold with (M)N (fractional)D3-branes of [1], and
show the possible thermodynamical stability up to linear order in the embedding
parameter. In the spirit of [2] we obtain the local type IIA mirror using SYZ
mirror symmetry near (theta_{1,2},psi)=(<theta_{1,2}>,{0,2pi,,4pi}) and then
oxidize the same to M theory. We take two limits of this
uplift:(i)g_s,g_sN_f,g_sM^2/N,g_s^2M N_f<<1,g_sM,g_sN>>1 similar to [1]
effected by M eps^{-3d/2}, N eps^{-19d},g_s epsn^d,d>0 and eps<=O(0.01);(ii)the
`MQGP limit' g_sM^2/N<<1, g_sN>>1 for finite g_s,M, effected by: g_s eps, M
eps^{-3d/2},N eps^{-39d},d>0, eps<~1). The second limit is more suited for the
study of QGP (See [3]) and can only be addressed in M theory. The uplift gives
a black M3-brane solution whose near-horizon geometry near
theta_{1,2}=0,pi-branches, preserves 1/8 SUSY. We obtain eta/s=1/4pi for the
uplift and the diffusion constant for types IIB/IIA backgrounds comes out to be
~1/T, for both limits. The D=11 SUGRA action up to O(R^4,|G_4|^2) is expected
to receive dominant contributions near <theta_{1,2}>=0,pi due to poles.
Introducing a small-angle cut-off c and using the <theta_{1,2}>=c,(pi-c)-local
uplift the specific heat from the IR-finite part of the action (c-independent)
turns out to be positive indicative of the thermodynamical stability of the
uplift. An ALD-gravity-type interpretation can be given to the counter-terms
for(i). Its verified that the black M3-brane entropy S r_h^3 from M-theoretic
thermodynamical methods and the horizon areas of types IIB/IIA/M3-brane
solutions.
|
[
{
"created": "Tue, 18 Jun 2013 20:19:53 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Oct 2013 16:27:08 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Jan 2014 02:57:53 GMT",
"version": "v3"
},
{
"created": "Thu, 19 Mar 2015 16:40:30 GMT",
"version": "v4"
}
] |
2015-06-16
|
[
[
"Dhuria",
"Mansi",
""
],
[
"Misra",
"Aalok",
""
]
] |
For the Ouyang embedding we calculate the chemical potential mu_C due to a U(1) gauge field on the w.v. of N_f D7-branes wrapped around a 4-cycle in a resolved warped deformed conifold with (M)N (fractional)D3-branes of [1], and show the possible thermodynamical stability up to linear order in the embedding parameter. In the spirit of [2] we obtain the local type IIA mirror using SYZ mirror symmetry near (theta_{1,2},psi)=(<theta_{1,2}>,{0,2pi,,4pi}) and then oxidize the same to M theory. We take two limits of this uplift:(i)g_s,g_sN_f,g_sM^2/N,g_s^2M N_f<<1,g_sM,g_sN>>1 similar to [1] effected by M eps^{-3d/2}, N eps^{-19d},g_s epsn^d,d>0 and eps<=O(0.01);(ii)the `MQGP limit' g_sM^2/N<<1, g_sN>>1 for finite g_s,M, effected by: g_s eps, M eps^{-3d/2},N eps^{-39d},d>0, eps<~1). The second limit is more suited for the study of QGP (See [3]) and can only be addressed in M theory. The uplift gives a black M3-brane solution whose near-horizon geometry near theta_{1,2}=0,pi-branches, preserves 1/8 SUSY. We obtain eta/s=1/4pi for the uplift and the diffusion constant for types IIB/IIA backgrounds comes out to be ~1/T, for both limits. The D=11 SUGRA action up to O(R^4,|G_4|^2) is expected to receive dominant contributions near <theta_{1,2}>=0,pi due to poles. Introducing a small-angle cut-off c and using the <theta_{1,2}>=c,(pi-c)-local uplift the specific heat from the IR-finite part of the action (c-independent) turns out to be positive indicative of the thermodynamical stability of the uplift. An ALD-gravity-type interpretation can be given to the counter-terms for(i). Its verified that the black M3-brane entropy S r_h^3 from M-theoretic thermodynamical methods and the horizon areas of types IIB/IIA/M3-brane solutions.
|
hep-th/9411055
| null |
E. Sezgin
|
Spacetime and Worldvolume Supersymmetric Super p-Brane Actions
|
14 pages, plain tex, contribution to the VIth Regional Conference in
Mathematical Physics, Pakistan, 5-11 February, 1994
| null | null |
CTP TAMU-58/94
|
hep-th
| null |
We review the salient features of spacetime and worldvolume supersymmetric
super p-brane actions. These are sigma models for maps from a worldvolume
superspace to the target superspace. For p-branes, the symmetries of the model
depend crucially on the existence of closed super (p+1)-forms on a worldvolume
superspace, built out of the pull-backs of the Kalb-Ramond super (p+1)-form in
target superspace and its curvature. This formulation of super p-branes is
usually referred to as the twistor-like formulation.
|
[
{
"created": "Wed, 9 Nov 1994 02:27:20 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Sezgin",
"E.",
""
]
] |
We review the salient features of spacetime and worldvolume supersymmetric super p-brane actions. These are sigma models for maps from a worldvolume superspace to the target superspace. For p-branes, the symmetries of the model depend crucially on the existence of closed super (p+1)-forms on a worldvolume superspace, built out of the pull-backs of the Kalb-Ramond super (p+1)-form in target superspace and its curvature. This formulation of super p-branes is usually referred to as the twistor-like formulation.
|
1004.3744
|
Cesar Gomez
|
Gia Dvali and Cesar Gomez
|
Species and Strings
|
20 pages
| null | null |
CERN-PH-TH/2010-069, IFT-UAM/CSIC-10-25
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Based on well-known properties of semi-classical black holes, we show that
weakly-coupled string theory can be viewed as a theory of N = 1/g_s^2 particle
species. This statement is a string theoretic realization of the fact that the
fundamental scale in any consistent D-dimensional theory of gravity is not the
Planck length l_D, but rather the species scale L_N = N^1/(D-2) l_D. Using this
fact, we derive the bound on semi-classical black hole entropy in any
consistent theory of gravity as S > N, which when applied to string theory
provides additional evidence for the former relation. This counting also shows
that the Bekenstein-Hawking entropy can be viewed as the entanglement entropy,
without encountering any puzzle of species. We demonstrate that the counting of
species extends to the M-theory limit. The role of the species scale is now
played by the eleven-dimensional Planck length, beyond which resolution of
distances is gravitationally-impossible. The conclusion is, that string theory
is a theory of species and gets replaced by a pure gravitational theory in the
limit when species become strongly coupled and decouple.
|
[
{
"created": "Wed, 21 Apr 2010 16:49:24 GMT",
"version": "v1"
}
] |
2010-04-22
|
[
[
"Dvali",
"Gia",
""
],
[
"Gomez",
"Cesar",
""
]
] |
Based on well-known properties of semi-classical black holes, we show that weakly-coupled string theory can be viewed as a theory of N = 1/g_s^2 particle species. This statement is a string theoretic realization of the fact that the fundamental scale in any consistent D-dimensional theory of gravity is not the Planck length l_D, but rather the species scale L_N = N^1/(D-2) l_D. Using this fact, we derive the bound on semi-classical black hole entropy in any consistent theory of gravity as S > N, which when applied to string theory provides additional evidence for the former relation. This counting also shows that the Bekenstein-Hawking entropy can be viewed as the entanglement entropy, without encountering any puzzle of species. We demonstrate that the counting of species extends to the M-theory limit. The role of the species scale is now played by the eleven-dimensional Planck length, beyond which resolution of distances is gravitationally-impossible. The conclusion is, that string theory is a theory of species and gets replaced by a pure gravitational theory in the limit when species become strongly coupled and decouple.
|
hep-th/9903052
|
Albrecht Klemm
|
Bjorn Andreas, Gottfried Curio and Albrecht Klemm
|
Towards the Standard Model spectrum from elliptic Calabi-Yau
|
31 pages, 1 eps-figure, reference added, bundle parameters for dP9
model changed
|
Int.J.Mod.Phys.A19:1987,2004
|
10.1142/S0217751X04018087
|
IFP-9902-UNC, IASSNS-HEP-99/04
|
hep-th
| null |
We show that it is possible to construct supersymmetric three-generation
models of Standard Model gauge group in the framework of non-simply-connected
elliptically fibered Calabi-Yau, without section but with a bi-section. The
fibrations on a cover Calabi-Yau, where the model has 6 generations of SU(5)
and the bundle is given via the spectral cover description, use a different
description of the elliptic fibre which leads to more than one global section.
We present two examples of a possible cover Calabi-Yau with a free involution:
one is a fibre product of rational elliptic surfaces $dP_9$; another example is
an elliptic fibration over a Hirzebruch surface. There we give the necessary
amount of chiral matter by turning on in the bundles a further parameter,
related to singularities of the fibration and the branching of the spectral
cover.
|
[
{
"created": "Fri, 5 Mar 1999 20:45:26 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Mar 1999 23:04:15 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Mar 1999 22:50:02 GMT",
"version": "v3"
},
{
"created": "Wed, 15 Dec 2004 11:04:06 GMT",
"version": "v4"
}
] |
2014-11-18
|
[
[
"Andreas",
"Bjorn",
""
],
[
"Curio",
"Gottfried",
""
],
[
"Klemm",
"Albrecht",
""
]
] |
We show that it is possible to construct supersymmetric three-generation models of Standard Model gauge group in the framework of non-simply-connected elliptically fibered Calabi-Yau, without section but with a bi-section. The fibrations on a cover Calabi-Yau, where the model has 6 generations of SU(5) and the bundle is given via the spectral cover description, use a different description of the elliptic fibre which leads to more than one global section. We present two examples of a possible cover Calabi-Yau with a free involution: one is a fibre product of rational elliptic surfaces $dP_9$; another example is an elliptic fibration over a Hirzebruch surface. There we give the necessary amount of chiral matter by turning on in the bundles a further parameter, related to singularities of the fibration and the branching of the spectral cover.
|
hep-th/0610182
|
Jose Francisco Gomes
|
H. Aratyn, J.F. Gomes and A.H. Zimerman
|
On a negative flow of the AKNS hierarchy and its relation to a
two-component Camassa-Holm equation
|
This is a contribution to the Proc. of the O'Raifeartaigh Symposium
on Non-Perturbative and Symmetry Methods in Field Theory (June 2006,
Budapest, Hungary), published in SIGMA (Symmetry, Integrability and Geometry:
Methods and Applications) at http://www.emis.de/journals/SIGMA/
|
SIGMA 2:070,2006
|
10.3842/SIGMA.2006.070
| null |
hep-th math-ph math.MP nlin.SI
| null |
Different gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled
by an angle $\theta$ are constructed and then reduced to the two-component
Camassa--Holm model. Only three different independent classes of reductions are
encountered corresponding to the angle $\theta$ being 0, $\pi/2$ or taking any
value in the interval $0<\theta<\pi/2$. This construction induces B\"{a}cklund
transformations between solutions of the two-component Camassa--Holm model
associated with different classes of reduction.
|
[
{
"created": "Mon, 16 Oct 2006 18:12:46 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Oct 2006 16:22:20 GMT",
"version": "v2"
}
] |
2008-12-19
|
[
[
"Aratyn",
"H.",
""
],
[
"Gomes",
"J. F.",
""
],
[
"Zimerman",
"A. H.",
""
]
] |
Different gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle $\theta$ are constructed and then reduced to the two-component Camassa--Holm model. Only three different independent classes of reductions are encountered corresponding to the angle $\theta$ being 0, $\pi/2$ or taking any value in the interval $0<\theta<\pi/2$. This construction induces B\"{a}cklund transformations between solutions of the two-component Camassa--Holm model associated with different classes of reduction.
|
hep-th/9309039
|
Yolanda Lozano
|
E. Alvarez, L. Alvarez-Gaume, J.L.F. Barbon and Y. Lozano
|
Some Global Aspects of Duality is String Theory
|
31pp. One figure available upon request. CERN-TH-6991/63
|
Nucl.Phys. B415 (1994) 71-100
|
10.1016/0550-3213(94)90067-1
| null |
hep-th
| null |
We explore some of the global aspects of duality transformations in String
Theory and Field Theory. We analyze in some detail the equivalence of dual
models corresponding to different topologies at the level of the partition
function and in terms of the operator correspondence for abelian duality. We
analyze the behavior of the cosmological constant under these transformations.
We also explore several examples of non-abelian duality where the classical
background interpretation can be maintained for the original and the dual
theories. In particular we construct a non-abelian dual of $SL(2,R)$ which
turns out to be a three-dimensional black hole
|
[
{
"created": "Tue, 7 Sep 1993 19:15:51 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Sep 1993 13:20:08 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Alvarez",
"E.",
""
],
[
"Alvarez-Gaume",
"L.",
""
],
[
"Barbon",
"J. L. F.",
""
],
[
"Lozano",
"Y.",
""
]
] |
We explore some of the global aspects of duality transformations in String Theory and Field Theory. We analyze in some detail the equivalence of dual models corresponding to different topologies at the level of the partition function and in terms of the operator correspondence for abelian duality. We analyze the behavior of the cosmological constant under these transformations. We also explore several examples of non-abelian duality where the classical background interpretation can be maintained for the original and the dual theories. In particular we construct a non-abelian dual of $SL(2,R)$ which turns out to be a three-dimensional black hole
|
2210.04911
|
Matthew Yu
|
Arun Debray, Matthew Yu
|
What bordism-theoretic anomaly cancellation can do for U
|
29 pages, 4 figures
| null | null | null |
hep-th math-ph math.AT math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We perform a bordism computation to show that the $E_{7(7)}(\mathbb{R})$
U-duality symmetry of 4d $\mathcal N = 8$ supergravity could have an anomaly
invisible to perturbative methods; then we show that this anomaly is trivial.
We compute the relevant bordism group using the Adams and Atiyah-Hirzebruch
spectral sequences, and we show the anomaly vanishes by computing
$\eta$-invariants on the Wu manifold, which generates the bordism group.
|
[
{
"created": "Mon, 10 Oct 2022 18:00:01 GMT",
"version": "v1"
}
] |
2022-10-12
|
[
[
"Debray",
"Arun",
""
],
[
"Yu",
"Matthew",
""
]
] |
We perform a bordism computation to show that the $E_{7(7)}(\mathbb{R})$ U-duality symmetry of 4d $\mathcal N = 8$ supergravity could have an anomaly invisible to perturbative methods; then we show that this anomaly is trivial. We compute the relevant bordism group using the Adams and Atiyah-Hirzebruch spectral sequences, and we show the anomaly vanishes by computing $\eta$-invariants on the Wu manifold, which generates the bordism group.
|
hep-th/0608222
|
Reza Fraeghbal
|
H. Arfaei, R. Fareghbal
|
Double-Horizon Limit and Decoupling of the Dynamics at the Horizon
|
17 pages, no figures, typos corrected, reference added
|
JHEP 0701:060,2007
|
10.1088/1126-6708/2007/01/060
|
IPM/P-2006/053, SUT-P-06-11b
|
hep-th
| null |
We show that the attractor mechanism for generic black hole is a consequence
of the double-horizon. Investigation of equations of motion shows that in the
case of the double-horizon black holes, the dynamics of the geometry, the
scalars and the gauge fields at the horizon decouples from the rest of the
space.
In the general case, the value of the fields at the horizon satisfies a
number of differential equations of functions of the $\theta$ coordinate.
We show this for the case of rotating and non-rotating electrically charged
black holes in the general two derivative theories of gravity and f(R)
gravities including the theories with cosmological constant.
|
[
{
"created": "Thu, 31 Aug 2006 11:16:45 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Sep 2006 10:23:07 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Jan 2007 10:40:42 GMT",
"version": "v3"
}
] |
2010-10-27
|
[
[
"Arfaei",
"H.",
""
],
[
"Fareghbal",
"R.",
""
]
] |
We show that the attractor mechanism for generic black hole is a consequence of the double-horizon. Investigation of equations of motion shows that in the case of the double-horizon black holes, the dynamics of the geometry, the scalars and the gauge fields at the horizon decouples from the rest of the space. In the general case, the value of the fields at the horizon satisfies a number of differential equations of functions of the $\theta$ coordinate. We show this for the case of rotating and non-rotating electrically charged black holes in the general two derivative theories of gravity and f(R) gravities including the theories with cosmological constant.
|
1804.04644
|
Xiaonu Xiong
|
Yu Jia, Shuangran Liang, Xiaonu Xiong, Rui Yu
|
Partonic quasidistributions in two-dimensional QCD
|
45 pages, 9 figures, 1 table
|
Phys. Rev. D 98, 054011 (2018)
|
10.1103/PhysRevD.98.054011
| null |
hep-th hep-lat hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
As a sequel of our preceding work [1] we carry out a comprehensive
comparative study between the quasi parton distribution functions (PDFs),
distribution amplitudes (DAs) and their light-cone counterparts for various
flavor-neutral mesons, in the context of the 't Hooft model, that is, the
two-dimensional QCD in the large $N$ limit. In contrast to the original
derivation via diagrammatic techniques exemplified by Dyson-Schwinger and
Bethe-Salpeter equations, here we employ the Hamiltonian operator approach to
reconstruct the celebrated 't Hooft equation in light-front quantization, and
Bars-Green equations in equal-time quantization. The novelty of our derivation
is to employ the soft momentum cutoff as the IR regulator. As a virtue of this
operator approach, the functional form of the quasi distributions can be
transparently built out of the Bars-Green wave functions and the Bogoliubov
angle with the aid of bosonization technique. Equipped with various bound-state
wave functions numerically inferred in [1], we then investigate how rapidly the
quasi distributions approach their light-cone counterparts with the increasing
meson momentum. We observe that, light mesons' quasi distributions approach the
light-cone distributions in a slower pace than the heavy quarkonia. Curiously,
lattice simulations of quasi distributions in four-dimensional QCD also
discover this feature. Furthermore, we also compute the partonic light-cone PDF
and quasi-PDF to one-loop order in perturbation theory, again employing the
momentum cutoff as the IR regulator. We explicitly verify one of the backbones
underlying the large momentum effective field theory (LaMET), namely, both
quasi-PDFs and light-cone PDFs in ${\rm QCD}_2$ indeed possess the same IR
behavior at leading order in $1/P^z$
|
[
{
"created": "Thu, 12 Apr 2018 17:41:45 GMT",
"version": "v1"
},
{
"created": "Tue, 1 May 2018 15:06:58 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Jul 2018 13:37:02 GMT",
"version": "v3"
},
{
"created": "Fri, 3 Aug 2018 11:30:22 GMT",
"version": "v4"
}
] |
2018-09-19
|
[
[
"Jia",
"Yu",
""
],
[
"Liang",
"Shuangran",
""
],
[
"Xiong",
"Xiaonu",
""
],
[
"Yu",
"Rui",
""
]
] |
As a sequel of our preceding work [1] we carry out a comprehensive comparative study between the quasi parton distribution functions (PDFs), distribution amplitudes (DAs) and their light-cone counterparts for various flavor-neutral mesons, in the context of the 't Hooft model, that is, the two-dimensional QCD in the large $N$ limit. In contrast to the original derivation via diagrammatic techniques exemplified by Dyson-Schwinger and Bethe-Salpeter equations, here we employ the Hamiltonian operator approach to reconstruct the celebrated 't Hooft equation in light-front quantization, and Bars-Green equations in equal-time quantization. The novelty of our derivation is to employ the soft momentum cutoff as the IR regulator. As a virtue of this operator approach, the functional form of the quasi distributions can be transparently built out of the Bars-Green wave functions and the Bogoliubov angle with the aid of bosonization technique. Equipped with various bound-state wave functions numerically inferred in [1], we then investigate how rapidly the quasi distributions approach their light-cone counterparts with the increasing meson momentum. We observe that, light mesons' quasi distributions approach the light-cone distributions in a slower pace than the heavy quarkonia. Curiously, lattice simulations of quasi distributions in four-dimensional QCD also discover this feature. Furthermore, we also compute the partonic light-cone PDF and quasi-PDF to one-loop order in perturbation theory, again employing the momentum cutoff as the IR regulator. We explicitly verify one of the backbones underlying the large momentum effective field theory (LaMET), namely, both quasi-PDFs and light-cone PDFs in ${\rm QCD}_2$ indeed possess the same IR behavior at leading order in $1/P^z$
|
1908.00136
|
Giovany Cruz G.Cruz
|
Riccardo Capovilla and Giovany Cruz
|
A covariant simultaneous action for branes
| null | null |
10.1016/j.aop.2019.167959
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
A covariant simultaneous action for branes in an arbitrary curved background
spacetime is considered. The action depends on a pair of independent field
variables, the brane embedding functions, through the canonical momentum of a
reparametrization invariant geometric model for the brane, and an auxiliary
vector field. The form of the action is analogous to a symplectic potential.
Extremization of the simultaneous action produces at once the equations of
motion and the Jacobi equations for the brane geometric model, and it also
provides a convenient shortcut towards its second variation. In this note, we
consider geometric models depending only on the intrinsic geometry of the brane
worldvolume, and discuss briefly the generalization to extrinsic geometry
dependent models. The approach is illustrated for Dirac-NambuGoto [DNG] branes.
For a relativistic particle, a simultaneous action was introduced by Bazanski,
that served as an inspiration for the present work.
|
[
{
"created": "Sun, 21 Jul 2019 19:41:57 GMT",
"version": "v1"
}
] |
2019-09-24
|
[
[
"Capovilla",
"Riccardo",
""
],
[
"Cruz",
"Giovany",
""
]
] |
A covariant simultaneous action for branes in an arbitrary curved background spacetime is considered. The action depends on a pair of independent field variables, the brane embedding functions, through the canonical momentum of a reparametrization invariant geometric model for the brane, and an auxiliary vector field. The form of the action is analogous to a symplectic potential. Extremization of the simultaneous action produces at once the equations of motion and the Jacobi equations for the brane geometric model, and it also provides a convenient shortcut towards its second variation. In this note, we consider geometric models depending only on the intrinsic geometry of the brane worldvolume, and discuss briefly the generalization to extrinsic geometry dependent models. The approach is illustrated for Dirac-NambuGoto [DNG] branes. For a relativistic particle, a simultaneous action was introduced by Bazanski, that served as an inspiration for the present work.
|
hep-th/0107108
|
Ruth A. W. Gregory
|
Ruth Gregory and Antonio Padilla
|
Braneworld Instantons
|
27 pages revtex, 10 figures, instanton action corrected, referenes
and appendix added
|
Class.Quant.Grav.19:279-302,2002
|
10.1088/0264-9381/19/2/308
|
DCPT/01/59
|
hep-th
| null |
We derive the general equations of motion for a braneworld containing a
(localized) domain wall. Euclideanization gives the geometry for braneworld
false vacuum decay. We explicitly derive these instantons and compute the
amplitude for false vacuum decay. We also show how to construct a toy ekpyrotic
instanton. Finally, we comment on braneworlds with a compact spatial direction
and the adS soliton.
|
[
{
"created": "Thu, 12 Jul 2001 15:57:01 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Nov 2001 14:41:57 GMT",
"version": "v2"
}
] |
2011-08-12
|
[
[
"Gregory",
"Ruth",
""
],
[
"Padilla",
"Antonio",
""
]
] |
We derive the general equations of motion for a braneworld containing a (localized) domain wall. Euclideanization gives the geometry for braneworld false vacuum decay. We explicitly derive these instantons and compute the amplitude for false vacuum decay. We also show how to construct a toy ekpyrotic instanton. Finally, we comment on braneworlds with a compact spatial direction and the adS soliton.
|
hep-th/0306067
|
Kudoh Hideaki
|
Hideaki Kudoh
|
Thermodynamic Properties of Small Localized Black Holes
|
6 pages, 6 figures, RevTex, references added
|
Prog.Theor.Phys. 110 (2004) 1059-1069
|
10.1143/PTP.110.1059
|
KUNS-1846
|
hep-th gr-qc
| null |
In a previous paper, we developed a numerical method to obtain a static black
hole localized on a 3-brane in the Randall-Sundrum infinite braneworld, and
presented examples of numerical solutions that describe small localized black
holes. In this paper we quantitatively analyze the behavior of the numerically
obtained black hole solutions, focusing on thermodynamic quantities. The
thermodynamic relations show that the localized black hole deviates smoothly
from a five-dimensional Schwarzschild black hole, which is a solution in the
limit of a small horizon radius. We compare the thermodynamic behavior of these
solutions with that of the exact solution on the 2-brane in the 4D braneworld.
We find similarities between them.
|
[
{
"created": "Mon, 9 Jun 2003 09:11:39 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Nov 2003 10:02:03 GMT",
"version": "v2"
},
{
"created": "Sun, 8 Feb 2004 08:25:18 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Kudoh",
"Hideaki",
""
]
] |
In a previous paper, we developed a numerical method to obtain a static black hole localized on a 3-brane in the Randall-Sundrum infinite braneworld, and presented examples of numerical solutions that describe small localized black holes. In this paper we quantitatively analyze the behavior of the numerically obtained black hole solutions, focusing on thermodynamic quantities. The thermodynamic relations show that the localized black hole deviates smoothly from a five-dimensional Schwarzschild black hole, which is a solution in the limit of a small horizon radius. We compare the thermodynamic behavior of these solutions with that of the exact solution on the 2-brane in the 4D braneworld. We find similarities between them.
|
hep-th/0512177
|
Volker Braun
|
Volker Braun, Yang-Hui He, Burt A. Ovrut, Tony Pantev
|
The Exact MSSM Spectrum from String Theory
|
15 pages, LaTeX; v2: Hidden sector is unstable, symbol typesetting
error corrected, clarifications and references added; v3: New discussion of
hidden sector
|
JHEP 0605:043,2006
|
10.1088/1126-6708/2006/05/043
|
UPR-1141-T
|
hep-th
| null |
We show the existence of realistic vacua in string theory whose observable
sector has exactly the matter content of the MSSM. This is achieved by
compactifying the E_8 x E_8 heterotic superstring on a smooth Calabi-Yau
threefold with an SU(4) gauge instanton and a Z_3 x Z_3 Wilson line.
Specifically, the observable sector is N=1 supersymmetric with gauge group
SU(3)_C x SU(2)_L x U(1)_Y x U(1)_{B-L}, three families of quarks and leptons,
each family with a right-handed neutrino, and one Higgs-Higgs conjugate pair.
Importantly, there are no extra vector-like pairs and no exotic matter in the
zero mode spectrum. There are, in addition, 6 geometric moduli and 13 gauge
instanton moduli in the observable sector. The holomorphic SU(4) vector bundle
of the observable sector is slope-stable.
|
[
{
"created": "Thu, 15 Dec 2005 20:49:08 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Dec 2005 20:32:12 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Feb 2006 20:59:35 GMT",
"version": "v3"
}
] |
2011-05-05
|
[
[
"Braun",
"Volker",
""
],
[
"He",
"Yang-Hui",
""
],
[
"Ovrut",
"Burt A.",
""
],
[
"Pantev",
"Tony",
""
]
] |
We show the existence of realistic vacua in string theory whose observable sector has exactly the matter content of the MSSM. This is achieved by compactifying the E_8 x E_8 heterotic superstring on a smooth Calabi-Yau threefold with an SU(4) gauge instanton and a Z_3 x Z_3 Wilson line. Specifically, the observable sector is N=1 supersymmetric with gauge group SU(3)_C x SU(2)_L x U(1)_Y x U(1)_{B-L}, three families of quarks and leptons, each family with a right-handed neutrino, and one Higgs-Higgs conjugate pair. Importantly, there are no extra vector-like pairs and no exotic matter in the zero mode spectrum. There are, in addition, 6 geometric moduli and 13 gauge instanton moduli in the observable sector. The holomorphic SU(4) vector bundle of the observable sector is slope-stable.
|
1108.0249
|
Xiao Zhang
|
R.B. Zhang, Xiao Zhang
|
A noncommutative geometric approach to the quantum structure of
spacetime
|
46 pages. arXiv admin note: substantial text overlap with
arXiv:0810.2357
| null | null | null |
hep-th gr-qc math-ph math.DG math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Together with collaborators, we introduced a noncommutative Riemannian
geometry over Moyal algebras and systematically developed it for noncommutative
spaces embedded in higher dimensions in the last few years. The theory was
applied to construct a noncommutative version of general relativity, which is
expected to capture some essential structural features of spacetime at the
Planck scale. Examples of noncommutative spacetimes were investigated in
detail. These include quantisations of plane-fronted gravitational waves,
quantum Schwarzschild spacetime and Schwarzschild-de Sitter spacetime, and a
quantun Tolman spacetime which is relevant to gravitational collapse. Here we
briefly review the theory and its application in the study of quantum structure
of spacetime.
|
[
{
"created": "Mon, 1 Aug 2011 06:45:42 GMT",
"version": "v1"
}
] |
2012-04-01
|
[
[
"Zhang",
"R. B.",
""
],
[
"Zhang",
"Xiao",
""
]
] |
Together with collaborators, we introduced a noncommutative Riemannian geometry over Moyal algebras and systematically developed it for noncommutative spaces embedded in higher dimensions in the last few years. The theory was applied to construct a noncommutative version of general relativity, which is expected to capture some essential structural features of spacetime at the Planck scale. Examples of noncommutative spacetimes were investigated in detail. These include quantisations of plane-fronted gravitational waves, quantum Schwarzschild spacetime and Schwarzschild-de Sitter spacetime, and a quantun Tolman spacetime which is relevant to gravitational collapse. Here we briefly review the theory and its application in the study of quantum structure of spacetime.
|
hep-th/9311127
| null |
Hitoshi Sato
|
On the Poincare polynomials for Landau-Ginzburg Orbifolds
|
10pages,Latex
|
Mod.Phys.Lett.A9:885-894,1994
|
10.1142/S0217732394000708
|
KOBE-TH-93-10
|
hep-th
| null |
We construct the Poincare polynomials for Landau-Ginzburg orbifolds with
projection operators.Using them we show that special types of dualities
including Poincare duality are realized under certain conditions. When
Calabi-Yau interpretation exists, two simple formulae for Hodge numbers
$h^{2,1}$ and $h^{1,1}$ are obtained.
|
[
{
"created": "Mon, 22 Nov 1993 11:29:55 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"Sato",
"Hitoshi",
""
]
] |
We construct the Poincare polynomials for Landau-Ginzburg orbifolds with projection operators.Using them we show that special types of dualities including Poincare duality are realized under certain conditions. When Calabi-Yau interpretation exists, two simple formulae for Hodge numbers $h^{2,1}$ and $h^{1,1}$ are obtained.
|
1105.6273
|
Jafar Sadeghi
|
J. Sadeghi and S. Heshmatian
|
Decay widths of large-spin mesons from the non-critical string/gauge
duality
|
21 pages and 3 figures
| null |
10.1103/PhysRevD.84.126010
| null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
In this paper, we use the non-critical string/gauge duality to calculate the
decay widths of large-spin mesons. Since it is believed that the string theory
of QCD is not a ten dimensional theory, we expect that the non-critical
versions of ten dimensional black hole backgrounds lead to better results than
the critical ones. For this purpose we concentrate on the confining theories
and consider two different six dimensional black hole backgrounds. We choose
the near extremal AdS6 model and the near extremal KM model to compute the
decay widths of large-spin mesons. Then, we present our results from these two
non-critical backgrounds and compare them together with those from the critical
models and experimental data.
|
[
{
"created": "Tue, 31 May 2011 13:33:32 GMT",
"version": "v1"
},
{
"created": "Sat, 11 Jun 2011 11:18:32 GMT",
"version": "v2"
}
] |
2013-05-29
|
[
[
"Sadeghi",
"J.",
""
],
[
"Heshmatian",
"S.",
""
]
] |
In this paper, we use the non-critical string/gauge duality to calculate the decay widths of large-spin mesons. Since it is believed that the string theory of QCD is not a ten dimensional theory, we expect that the non-critical versions of ten dimensional black hole backgrounds lead to better results than the critical ones. For this purpose we concentrate on the confining theories and consider two different six dimensional black hole backgrounds. We choose the near extremal AdS6 model and the near extremal KM model to compute the decay widths of large-spin mesons. Then, we present our results from these two non-critical backgrounds and compare them together with those from the critical models and experimental data.
|
1611.10323
|
Ioannis Florakis
|
Ioannis Florakis
|
Gravitational Threshold Corrections in Non-Supersymmetric Heterotic
Strings
|
29 pages
| null |
10.1016/j.nuclphysb.2017.01.016
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute one-loop quantum corrections to gravitational couplings in the
effective action of four-dimensional heterotic strings where supersymmetry is
spontaneously broken by Scherk-Schwarz fluxes. We show that in both heterotic
and type II theories of this class, no moduli dependent corrections to the
Planck mass are generated. We explicitly compute the one-loop corrections to
the $\mathcal R^2$ coupling and find that, despite the absence of
supersymmetry, its contributions may still be organised into representations of
subgroups of the modular group, and admit a universal form, determined uniquely
by the multiplicities of the ground states of the theory. Moreover, similarly
to the case of gauge couplings, also the gravitational sector may become
strongly coupled in models which dynamically induce large volume for the extra
dimensions.
|
[
{
"created": "Wed, 30 Nov 2016 19:27:16 GMT",
"version": "v1"
}
] |
2017-03-08
|
[
[
"Florakis",
"Ioannis",
""
]
] |
We compute one-loop quantum corrections to gravitational couplings in the effective action of four-dimensional heterotic strings where supersymmetry is spontaneously broken by Scherk-Schwarz fluxes. We show that in both heterotic and type II theories of this class, no moduli dependent corrections to the Planck mass are generated. We explicitly compute the one-loop corrections to the $\mathcal R^2$ coupling and find that, despite the absence of supersymmetry, its contributions may still be organised into representations of subgroups of the modular group, and admit a universal form, determined uniquely by the multiplicities of the ground states of the theory. Moreover, similarly to the case of gauge couplings, also the gravitational sector may become strongly coupled in models which dynamically induce large volume for the extra dimensions.
|
1508.05350
|
Paul K. Townsend
|
Luca Mezincescu, Alasdair J. Routh and Paul K. Townsend
|
Twistors and the massive spinning particle
|
21 pages. Revised to correct minor errors, and to add subsection on
massless limit. Equation numbering problem corrected in v.3
| null |
10.1088/1751-8113/49/2/025401
|
DAMTP-2015-44
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Gauge-invariant twistor variables are found for the massive spinning particle
with N-extended local worldline supersymmetry, in spacetime dimensions D=3,4,6.
The twistor action is manifestly Lorentz invariant but the anticommuting spin
variables appear exactly as in the non-relativistic limit. This allows a simple
confirmation that the quantum N=2 spinning particle has either spin one or spin
zero, and that N>2 is quantum inconsistent for D=4,6.
|
[
{
"created": "Fri, 21 Aug 2015 18:26:06 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Nov 2015 12:17:34 GMT",
"version": "v2"
},
{
"created": "Sun, 29 Nov 2015 22:37:24 GMT",
"version": "v3"
}
] |
2016-01-20
|
[
[
"Mezincescu",
"Luca",
""
],
[
"Routh",
"Alasdair J.",
""
],
[
"Townsend",
"Paul K.",
""
]
] |
Gauge-invariant twistor variables are found for the massive spinning particle with N-extended local worldline supersymmetry, in spacetime dimensions D=3,4,6. The twistor action is manifestly Lorentz invariant but the anticommuting spin variables appear exactly as in the non-relativistic limit. This allows a simple confirmation that the quantum N=2 spinning particle has either spin one or spin zero, and that N>2 is quantum inconsistent for D=4,6.
|
1603.06811
|
Andrei Smilga
|
A.V. Smilga
|
Ultraviolet divergences in non-renormalizable supersymmetric theories
|
26 pages, 3 figures. Invited contribution in the conference
"Supersymmetry and Quantum Symmetries" (Dubna, July 2015). Few typos
corrected. To be published in Phys. Part. Nucl. Lett
| null |
10.1134/S1547477117020315
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a pedagogical review of our current understanding of the
ultraviolet structure of N = (1,1) 6D supersymmetric Yang-Mills theory and of N
= 8 4D supergravity. These theories are not renormalizable, they involve power
ultraviolet divergences and, in all probability, an infinite set of
higher-dimensional counterterms that contribute to on-mass-shell scattering
amplitudes.
A specific feature of supersymmetric theories (especially, of extended
supersymmetric theories) is that these counterterms may not be invariant off
shell under the full set of supersymmetry transformations. The
lowest-dimensional nontrivial counterterm is supersymmetric on shell. Still
higher counterterms may lose even the on-shell invariance. On the other hand,
the full effective Lagrangian, generating the amplitudes and representing an
infinite sum of counterterms, still enjoys the complete symmetry of original
theory.
We also discuss simple supersymmetric quantum-mechanical models that exhibit
the same behaviour.
|
[
{
"created": "Tue, 22 Mar 2016 14:42:48 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jun 2016 14:59:48 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Jan 2017 13:18:35 GMT",
"version": "v3"
}
] |
2017-04-05
|
[
[
"Smilga",
"A. V.",
""
]
] |
We present a pedagogical review of our current understanding of the ultraviolet structure of N = (1,1) 6D supersymmetric Yang-Mills theory and of N = 8 4D supergravity. These theories are not renormalizable, they involve power ultraviolet divergences and, in all probability, an infinite set of higher-dimensional counterterms that contribute to on-mass-shell scattering amplitudes. A specific feature of supersymmetric theories (especially, of extended supersymmetric theories) is that these counterterms may not be invariant off shell under the full set of supersymmetry transformations. The lowest-dimensional nontrivial counterterm is supersymmetric on shell. Still higher counterterms may lose even the on-shell invariance. On the other hand, the full effective Lagrangian, generating the amplitudes and representing an infinite sum of counterterms, still enjoys the complete symmetry of original theory. We also discuss simple supersymmetric quantum-mechanical models that exhibit the same behaviour.
|
hep-th/9812186
|
Ragoucy E.
|
M. Mintchev, E. Ragoucy, P. Sorba and Ph. Zaugg
|
Yangians, finite W-algebras and the Non Linear Schrodinger hierarchy
|
LaTeX2e, 10 pages, Talk presented by E. Ragoucy at ACTP-Nankai
Symposium on Yang-Baxter systems, non linear models and their applications,
Seoul (Korea) October 20-23, 1998
|
J.Phys. A32 (1999) 5885-5900
|
10.1088/0305-4470/32/32/304
|
LAPTH-711/98-Conf
|
hep-th math.QA
| null |
We show an algebra morphism between Yangians and some finite W-algebras. This
correspondence is nicely illustrated in the framework of the Non Linear
Schrodinger hierarchy. For such a purpose, we give an explicit realization of
the Yangian generators in terms of deformed oscillators.
|
[
{
"created": "Mon, 21 Dec 1998 09:05:10 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Mintchev",
"M.",
""
],
[
"Ragoucy",
"E.",
""
],
[
"Sorba",
"P.",
""
],
[
"Zaugg",
"Ph.",
""
]
] |
We show an algebra morphism between Yangians and some finite W-algebras. This correspondence is nicely illustrated in the framework of the Non Linear Schrodinger hierarchy. For such a purpose, we give an explicit realization of the Yangian generators in terms of deformed oscillators.
|
hep-th/9412098
| null |
S. Zakrzewski
|
On the classical $\kappa$-particle
|
5 pages, latex
| null | null | null |
hep-th
| null |
The dependence of velocity on momentum for the free massive particle obeying
the $\kappa $-Poincar\'{e} Poisson symmetry is calculated in terms of intrinsic
non-commuting space-time coordinates and shown to have a monotonic character,
with upper limit of velocity equal to 1.
|
[
{
"created": "Mon, 12 Dec 1994 12:37:49 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Zakrzewski",
"S.",
""
]
] |
The dependence of velocity on momentum for the free massive particle obeying the $\kappa $-Poincar\'{e} Poisson symmetry is calculated in terms of intrinsic non-commuting space-time coordinates and shown to have a monotonic character, with upper limit of velocity equal to 1.
|
hep-th/0401029
|
Jose Socorro Garcia
|
W. Guzman, J. Socorro, V.I. Tkach and J. Torres
|
Inflation from Susy quantum cosmology
|
9 pages, one figure, to appear in Phys. Rev. D
|
Phys.Rev. D69 (2004) 043506
|
10.1103/PhysRevD.69.043506
| null |
hep-th
| null |
We propose a realization of inverted hybrid inflation scenario in the context
of n=2 supersymmetric quantum cosmology. The spectrum of density fluctuations
is calculated in the de Sitter regimen as a function of the gravitino and the
Planck mass, and explicit forms for the wave function of the universe are found
in the WKB regimen for a FRW closed and flat universes.
|
[
{
"created": "Tue, 6 Jan 2004 17:17:40 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Guzman",
"W.",
""
],
[
"Socorro",
"J.",
""
],
[
"Tkach",
"V. I.",
""
],
[
"Torres",
"J.",
""
]
] |
We propose a realization of inverted hybrid inflation scenario in the context of n=2 supersymmetric quantum cosmology. The spectrum of density fluctuations is calculated in the de Sitter regimen as a function of the gravitino and the Planck mass, and explicit forms for the wave function of the universe are found in the WKB regimen for a FRW closed and flat universes.
|
2103.06932
|
Biel Cardona Rotger
|
Biel Cardona, Pau Figueras
|
Critical lumpy black holes in AdS${}_p\times S^q$
|
38 pages + appendices, 19 figures, 6 tables. v2: minor modifications.
Updated to match published version
|
JHEP 2021, 265 (2021)
|
10.1007/JHEP05(2021)265
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study lumpy black holes with AdS${}_p \times S^q$
asymptotics, where the isometry group coming from the sphere factor is broken
down to SO($q$). Depending on the values of $p$ and $q$, these are solutions to
a certain Supergravity theory with a particular gauge field. We have considered
the values $(p,q) = (5,5)$ and $(p,q) = (4,7)$, corresponding to type IIB
supergravity in ten dimensions and eleven-dimensional supergravity
respectively. These theories presumably contain an infinite spectrum of
families of lumpy black holes, labeled by a harmonic number $\ell$, whose
endpoints in solution space merge with another type of black holes with
different horizon topology. We have numerically constructed the first four
families of lumpy solutions, corresponding to $\ell = 1, 2^+, 2^-$ and $3$. We
show that the geometry of the horizon near the merger is well-described by a
cone over a triple product of spheres, thus extending Kol's local model to the
present asymptotics. Interestingly, the presence of non-trivial fluxes in the
internal sphere implies that the cone is no longer Ricci flat. This conical
manifold accounts for the geometry and the behavior of the physical quantities
of the solutions sufficiently close to the critical point. Additionally, we
show that the vacuum expectation values of the dual scalar operators approach
their critical values with a power law whose exponents are dictated by the
local cone geometry in the bulk.
|
[
{
"created": "Thu, 11 Mar 2021 20:03:32 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Jun 2021 19:52:22 GMT",
"version": "v2"
}
] |
2021-06-10
|
[
[
"Cardona",
"Biel",
""
],
[
"Figueras",
"Pau",
""
]
] |
In this paper we study lumpy black holes with AdS${}_p \times S^q$ asymptotics, where the isometry group coming from the sphere factor is broken down to SO($q$). Depending on the values of $p$ and $q$, these are solutions to a certain Supergravity theory with a particular gauge field. We have considered the values $(p,q) = (5,5)$ and $(p,q) = (4,7)$, corresponding to type IIB supergravity in ten dimensions and eleven-dimensional supergravity respectively. These theories presumably contain an infinite spectrum of families of lumpy black holes, labeled by a harmonic number $\ell$, whose endpoints in solution space merge with another type of black holes with different horizon topology. We have numerically constructed the first four families of lumpy solutions, corresponding to $\ell = 1, 2^+, 2^-$ and $3$. We show that the geometry of the horizon near the merger is well-described by a cone over a triple product of spheres, thus extending Kol's local model to the present asymptotics. Interestingly, the presence of non-trivial fluxes in the internal sphere implies that the cone is no longer Ricci flat. This conical manifold accounts for the geometry and the behavior of the physical quantities of the solutions sufficiently close to the critical point. Additionally, we show that the vacuum expectation values of the dual scalar operators approach their critical values with a power law whose exponents are dictated by the local cone geometry in the bulk.
|
1907.11256
|
Stefano Lanza
|
Stefano Lanza, Fernando Marchesano, Luca Martucci, Dmitri Sorokin
|
How many fluxes fit in an EFT?
|
81 pages, 2 figures; v2: typos corrected
| null |
10.1007/JHEP10(2019)110
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We extend the recent construction of 4d $\mathcal{N}=1$ three-form
Lagrangians by including the most general three-form multiplets necessary to
reproduce any F-term potential in string flux compactifications. In this
context we find an obstruction to dualize all fluxes to three-forms in the
effective field theory. This implies that, generically, a single EFT cannot
capture all the membrane-mediated flux transitions expected from a string
theory construction, but only a sublattice of them. The obstruction can be
detected from the maximal number of three-forms per scalar in any
supermultiplet, and from the gaugings involving three-forms that appear in the
EFT. Some gaugings are related to the appearance of fluxes in the tadpole
conditions, and give a general obstruction. Others are related to the anomalous
axionic strings present in a specific compactification regime. We illustrate
the structure of the three-form Lagrangian in type II and F/M-theory setups,
where we argue that the above obstructions correlate with the different 4d
membrane tensions with respect to the EFT energy scales.
|
[
{
"created": "Thu, 25 Jul 2019 18:02:28 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Aug 2019 18:27:17 GMT",
"version": "v2"
}
] |
2020-01-08
|
[
[
"Lanza",
"Stefano",
""
],
[
"Marchesano",
"Fernando",
""
],
[
"Martucci",
"Luca",
""
],
[
"Sorokin",
"Dmitri",
""
]
] |
We extend the recent construction of 4d $\mathcal{N}=1$ three-form Lagrangians by including the most general three-form multiplets necessary to reproduce any F-term potential in string flux compactifications. In this context we find an obstruction to dualize all fluxes to three-forms in the effective field theory. This implies that, generically, a single EFT cannot capture all the membrane-mediated flux transitions expected from a string theory construction, but only a sublattice of them. The obstruction can be detected from the maximal number of three-forms per scalar in any supermultiplet, and from the gaugings involving three-forms that appear in the EFT. Some gaugings are related to the appearance of fluxes in the tadpole conditions, and give a general obstruction. Others are related to the anomalous axionic strings present in a specific compactification regime. We illustrate the structure of the three-form Lagrangian in type II and F/M-theory setups, where we argue that the above obstructions correlate with the different 4d membrane tensions with respect to the EFT energy scales.
|
1609.06318
|
McCullen Sandora
|
Ricardo Z. Ferreira, McCullen Sandora, and Martin S. Sloth
|
Asymptotic Symmetries in de Sitter and Inflationary Spacetimes
|
22 pages + appendices, 3 figures. V2: Typos fixed, references and
clarifications added
| null |
10.1088/1475-7516/2017/04/033
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Soft gravitons produced by the expansion of de Sitter can be viewed as the
Nambu-Goldstone bosons of spontaneously broken asymptotic symmetries of the de
Sitter spacetime. We explicitly construct the associated charges, and show that
acting with the charges on the vacuum creates a new state equivalent to a
change in the local coordinates induced by the soft graviton. While the effect
remains unobservable within the domain of a single observer where the symmetry
is unbroken, this change is physical when comparing different asymptotic
observers, or between a transformed and un-transformed initial state,
consistent with the scale-dependent statistical anisotropies previously derived
using semiclassical relations. We then compute the overlap, $\langle0|
0'\rangle$, between the unperturbed de Sitter vacuum $|0\rangle$, and the state
$| 0'\rangle$ obtained by acting $\mathcal{N}$ times with the charge. We show
that when $\mathcal{N}\to M_p^2/H^2$ this overlap receives order one
corrections and $\langle0| 0'\rangle\to 0$, which corresponds to an infrared
perturbative breakdown after a time $t_{dS} \sim M_p^2/H^3$ has elapsed,
consistent with earlier arguments in the literature arguing for a perturbative
breakdown on this timescale. We also discuss the generalization to inflation,
and rederive the 3-point and one-loop consistency relations.
|
[
{
"created": "Tue, 20 Sep 2016 20:00:05 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Oct 2016 20:05:53 GMT",
"version": "v2"
}
] |
2017-04-26
|
[
[
"Ferreira",
"Ricardo Z.",
""
],
[
"Sandora",
"McCullen",
""
],
[
"Sloth",
"Martin S.",
""
]
] |
Soft gravitons produced by the expansion of de Sitter can be viewed as the Nambu-Goldstone bosons of spontaneously broken asymptotic symmetries of the de Sitter spacetime. We explicitly construct the associated charges, and show that acting with the charges on the vacuum creates a new state equivalent to a change in the local coordinates induced by the soft graviton. While the effect remains unobservable within the domain of a single observer where the symmetry is unbroken, this change is physical when comparing different asymptotic observers, or between a transformed and un-transformed initial state, consistent with the scale-dependent statistical anisotropies previously derived using semiclassical relations. We then compute the overlap, $\langle0| 0'\rangle$, between the unperturbed de Sitter vacuum $|0\rangle$, and the state $| 0'\rangle$ obtained by acting $\mathcal{N}$ times with the charge. We show that when $\mathcal{N}\to M_p^2/H^2$ this overlap receives order one corrections and $\langle0| 0'\rangle\to 0$, which corresponds to an infrared perturbative breakdown after a time $t_{dS} \sim M_p^2/H^3$ has elapsed, consistent with earlier arguments in the literature arguing for a perturbative breakdown on this timescale. We also discuss the generalization to inflation, and rederive the 3-point and one-loop consistency relations.
|
1903.10532
|
Yiming Chen
|
Yiming Chen, Pengfei Zhang
|
Entanglement Entropy of Two Coupled SYK Models and Eternal Traversable
Wormhole
|
42 pages, 9 figures. v2: References added
| null |
10.1007/JHEP07(2019)033
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we study the entanglement entropy between two SYK systems with
bilinear coupling. We use the replica trick to calculate the entanglement
entropy in the ground state. In parallel, we calculate the entanglement entropy
through the Ryu-Takayanagi formula in gravity. For the ground state that is
dual to an eternal traversable wormhole in AdS_2, the bulk quantum correction
to the entanglement entropy is of the same order as the minimal surface area.
The ground state of the coupled system is close to a thermofield double state
with particular temperature and they have the same entanglement entropy. From
the gravity point of view, we explain why the two states have the same
entanglement entropy. We also study a case with time-dependent coupling, which
involves finding the quantum extremal surface in the bulk.
|
[
{
"created": "Mon, 25 Mar 2019 18:03:50 GMT",
"version": "v1"
},
{
"created": "Wed, 1 May 2019 17:56:36 GMT",
"version": "v2"
}
] |
2019-07-24
|
[
[
"Chen",
"Yiming",
""
],
[
"Zhang",
"Pengfei",
""
]
] |
In this paper, we study the entanglement entropy between two SYK systems with bilinear coupling. We use the replica trick to calculate the entanglement entropy in the ground state. In parallel, we calculate the entanglement entropy through the Ryu-Takayanagi formula in gravity. For the ground state that is dual to an eternal traversable wormhole in AdS_2, the bulk quantum correction to the entanglement entropy is of the same order as the minimal surface area. The ground state of the coupled system is close to a thermofield double state with particular temperature and they have the same entanglement entropy. From the gravity point of view, we explain why the two states have the same entanglement entropy. We also study a case with time-dependent coupling, which involves finding the quantum extremal surface in the bulk.
|
hep-th/9406011
|
William Nelson
|
William Nelson
|
A Comment on Black Hole Entropy in String Theory
|
8 pages, uses harvmac and epsf, two postscript figures appended. (A
page is added describing how to do the computation rigorously. Also some
notation is altered.)
|
Phys.Rev. D50 (1994) 7400-7402
|
10.1103/PhysRevD.50.7400
| null |
hep-th
| null |
In this note, we extend the string theoretic calculation of the black hole
entropy, first performed by Susskind and Uglum, away from the infinite mass
limit. It is shown that the result agrees with that obtained from the classical
action of string theory, using the Noether charge method developed by Wald.
Also shown in the process is the equivalence of two general techniques for
finding black hole entropies-the Noether charge method, and the method of
conical singularities.
|
[
{
"created": "Fri, 3 Jun 1994 05:30:29 GMT",
"version": "v1"
},
{
"created": "Sun, 12 Jun 1994 06:15:42 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Nelson",
"William",
""
]
] |
In this note, we extend the string theoretic calculation of the black hole entropy, first performed by Susskind and Uglum, away from the infinite mass limit. It is shown that the result agrees with that obtained from the classical action of string theory, using the Noether charge method developed by Wald. Also shown in the process is the equivalence of two general techniques for finding black hole entropies-the Noether charge method, and the method of conical singularities.
|
2405.17945
|
Leszek Hadasz
|
Leszek Hadasz and Rikard von Unge
|
Defining Root-$T\overline{T}$
|
28 pages, 1 figure; v2: references added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give a tentative definition of the recently introduced Root-$T\bar{T}$
operator in a generic, two dimensional quantum conformal field theory with
continuous spectrum of scaling weights. The definition assumes certain
factorization properties and uses Schwinger parametrization to introduce the
square root. Properties of the operator thus defined are investigated by
explicit computation of variations of two- and three-point correlation
functions.
|
[
{
"created": "Tue, 28 May 2024 08:19:33 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jun 2024 10:22:41 GMT",
"version": "v2"
}
] |
2024-06-12
|
[
[
"Hadasz",
"Leszek",
""
],
[
"von Unge",
"Rikard",
""
]
] |
We give a tentative definition of the recently introduced Root-$T\bar{T}$ operator in a generic, two dimensional quantum conformal field theory with continuous spectrum of scaling weights. The definition assumes certain factorization properties and uses Schwinger parametrization to introduce the square root. Properties of the operator thus defined are investigated by explicit computation of variations of two- and three-point correlation functions.
|
hep-th/0401185
|
Olivera Miskovic
|
Olivera Miskovic
|
Dynamics of Wess-Zumino-Witten and Chern-Simons Theories
|
Ph.D. Thesis, January 2004, 125 pages, no figures
| null | null | null |
hep-th
| null |
This thesis is devoted to the study of three problems on the
Wess-Zumino-Witten (WZW) and Chern-Simons (CS) supergravity theories in the
Hamiltonian framework: 1) The two-dimensional super WZW model coupled to
supergravity is constructed. The canonical representation of Kac-Moody algebra
is extended to the super Kac-Moody and Virasoro algebras. Then, the canonical
action is constructed, invariant under local supersymmetry transformations. The
metric tensor and Rarita-Schwinger fields emerge as Lagrange multipliers of the
components of the super energy-momentum tensor. 2) In higher dimensions, CS
theories are irregular systems, that is, they have constraints which are
functionally dependent in some sectors of phase space. In these cases, the
standard Dirac procedure must be redefined, as it is shown in the simplified
case of finite number of degrees of freedom. Irregular systems fall into two
classes depending on their behavior in the vicinity of the constraint surface.
In one case, it is possible to regularize the system without ambiguities, while
in the other, regularization is not always possible and the Hamiltonian and
Lagrangian descriptions may be dynamically inequivalent. Irregularities have
important consequences in the linearized approximation of nonlinear theories.
3) The dynamics of CS supergravity theory in D=5, based on the supersymmetric
extension of the AdS algebra, su(2,2|4), is analyzed. A class of backgrounds is
found, providing a regular and generic effective theory. Some of these
backgrounds are shown to be BPS states. The charges for the simplest choice of
asymptotic conditions are obtained, and they satisfy a supersymmetric extension
of the classical WZW(4) algebra, associated to su(2,2|4).
|
[
{
"created": "Sat, 24 Jan 2004 21:47:14 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Miskovic",
"Olivera",
""
]
] |
This thesis is devoted to the study of three problems on the Wess-Zumino-Witten (WZW) and Chern-Simons (CS) supergravity theories in the Hamiltonian framework: 1) The two-dimensional super WZW model coupled to supergravity is constructed. The canonical representation of Kac-Moody algebra is extended to the super Kac-Moody and Virasoro algebras. Then, the canonical action is constructed, invariant under local supersymmetry transformations. The metric tensor and Rarita-Schwinger fields emerge as Lagrange multipliers of the components of the super energy-momentum tensor. 2) In higher dimensions, CS theories are irregular systems, that is, they have constraints which are functionally dependent in some sectors of phase space. In these cases, the standard Dirac procedure must be redefined, as it is shown in the simplified case of finite number of degrees of freedom. Irregular systems fall into two classes depending on their behavior in the vicinity of the constraint surface. In one case, it is possible to regularize the system without ambiguities, while in the other, regularization is not always possible and the Hamiltonian and Lagrangian descriptions may be dynamically inequivalent. Irregularities have important consequences in the linearized approximation of nonlinear theories. 3) The dynamics of CS supergravity theory in D=5, based on the supersymmetric extension of the AdS algebra, su(2,2|4), is analyzed. A class of backgrounds is found, providing a regular and generic effective theory. Some of these backgrounds are shown to be BPS states. The charges for the simplest choice of asymptotic conditions are obtained, and they satisfy a supersymmetric extension of the classical WZW(4) algebra, associated to su(2,2|4).
|
1403.5109
|
Yu-Xiao Liu
|
Yi Zhong, Feng-Wei Chen, Qun-Ying Xie, Yu-Xiao Liu
|
Warped Brane worlds in Critical Gravity
|
14 pages, 7 figures, updated version, accepted by EPJC
|
Eur.Phys.J. C74 (2014) 12, 3185
|
10.1140/epjc/s10052-014-3185-8
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the brane models in arbitrary dimensional critical gravity
presented in [Phys. Rev. Lett. 106, 181302 (2011)]. For the model of the thin
branes with codimension one, the Gibbons-Hawking surface term and the junction
conditions are derived, with which the analytical solutions for the flat, AdS,
and dS branes are obtained at the critical point of the critical gravity. It is
found that all these branes are embedded in an AdS$_{n}$ spacetime, but, in
general, the effective cosmological constant $\Lambda$ of the AdS$_{n}$
spacetime is not equal to the naked one $\Lambda_0$ in the critical gravity,
which can be positive, zero, and negative. Another interesting result is that
the brane tension can also be positive, zero, or negative, depending on the
symmetry of the thin brane and the values of the parameters of the theory,
which is very different from the case in general relativity. It is shown that
the mass hierarchy problem can be solved in the braneworld model in the
higher-derivative critical gravity. We also study the thick brane model and
find analytical and numerical solutions of the flat, AdS, and dS branes. It is
find that some branes will have inner structure when some parameters of the
theory are larger than their critical values, which may result in resonant KK
modes for some bulk matter fields. The flat branes with positive energy density
and AdS branes with negative energy density are embedded in an $n$-dimensional
AdS spacetime, while the dS branes with positive energy density are embedded in
an $n$-dimensional Minkowski one.
|
[
{
"created": "Thu, 20 Mar 2014 12:06:23 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Apr 2014 08:58:00 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Nov 2014 03:12:38 GMT",
"version": "v3"
}
] |
2014-12-23
|
[
[
"Zhong",
"Yi",
""
],
[
"Chen",
"Feng-Wei",
""
],
[
"Xie",
"Qun-Ying",
""
],
[
"Liu",
"Yu-Xiao",
""
]
] |
We investigate the brane models in arbitrary dimensional critical gravity presented in [Phys. Rev. Lett. 106, 181302 (2011)]. For the model of the thin branes with codimension one, the Gibbons-Hawking surface term and the junction conditions are derived, with which the analytical solutions for the flat, AdS, and dS branes are obtained at the critical point of the critical gravity. It is found that all these branes are embedded in an AdS$_{n}$ spacetime, but, in general, the effective cosmological constant $\Lambda$ of the AdS$_{n}$ spacetime is not equal to the naked one $\Lambda_0$ in the critical gravity, which can be positive, zero, and negative. Another interesting result is that the brane tension can also be positive, zero, or negative, depending on the symmetry of the thin brane and the values of the parameters of the theory, which is very different from the case in general relativity. It is shown that the mass hierarchy problem can be solved in the braneworld model in the higher-derivative critical gravity. We also study the thick brane model and find analytical and numerical solutions of the flat, AdS, and dS branes. It is find that some branes will have inner structure when some parameters of the theory are larger than their critical values, which may result in resonant KK modes for some bulk matter fields. The flat branes with positive energy density and AdS branes with negative energy density are embedded in an $n$-dimensional AdS spacetime, while the dS branes with positive energy density are embedded in an $n$-dimensional Minkowski one.
|
hep-th/9707153
|
Patrizia Vitale
|
G. Bimonte, R. Musto, A. Stern and P. Vitale
|
Hidden Quantum Group Structure in Einstein's General Relativity
|
LaTex file, 21 pages, no figures
|
Nucl.Phys. B525 (1998) 483-503
|
10.1016/S0550-3213(98)00280-6
|
DSF-33/97, UAHEP 9711
|
hep-th gr-qc math.QA q-alg
| null |
A new formal scheme is presented in which Einstein's classical theory of
General Relativity appears as the common, invariant sector of a one-parameter
family of different theories. This is achieved by replacing the Poincare` group
of the ordinary tetrad formalism with a q-deformed Poincare` group, the usual
theory being recovered at q=1. Although written in terms of noncommuting
vierbein and spin-connection fields, each theory has the same metric sector
leading to the ordinary Einstein-Hilbert action and to the corresponding
equations of motion. The Christoffel symbols and the components of the Riemann
tensor are ordinary commuting numbers and have the usual form in terms of a
metric tensor built as an appropriate bilinear in the vierbeins. Furthermore we
exhibit a one-parameter family of Hamiltonian formalisms for general
relativity, by showing that a canonical formalism a` la Ashtekar can be built
for any value of q. The constraints are still polynomial, but the Poisson
brackets are not skewsymmetric for q different from 1.
|
[
{
"created": "Thu, 17 Jul 1997 13:56:15 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Bimonte",
"G.",
""
],
[
"Musto",
"R.",
""
],
[
"Stern",
"A.",
""
],
[
"Vitale",
"P.",
""
]
] |
A new formal scheme is presented in which Einstein's classical theory of General Relativity appears as the common, invariant sector of a one-parameter family of different theories. This is achieved by replacing the Poincare` group of the ordinary tetrad formalism with a q-deformed Poincare` group, the usual theory being recovered at q=1. Although written in terms of noncommuting vierbein and spin-connection fields, each theory has the same metric sector leading to the ordinary Einstein-Hilbert action and to the corresponding equations of motion. The Christoffel symbols and the components of the Riemann tensor are ordinary commuting numbers and have the usual form in terms of a metric tensor built as an appropriate bilinear in the vierbeins. Furthermore we exhibit a one-parameter family of Hamiltonian formalisms for general relativity, by showing that a canonical formalism a` la Ashtekar can be built for any value of q. The constraints are still polynomial, but the Poisson brackets are not skewsymmetric for q different from 1.
|
hep-th/9701131
|
Leopoldo Pando
|
Leopoldo A. Pando Zayas (Department of Theoretical Physics at Moscow
State University)
|
Cosmological Theories From $SO(2,2)/SO(2)\times SO(1,1)$
|
13 pages, Latex, no figure
|
Phys.Lett. B398 (1997) 274-276
|
10.1016/S0370-2693(97)00248-7
|
DTP-MSU/97-03
|
hep-th
| null |
We herein set forth intrinsically four-dimensional string solutions and
analyze some of its properties. The solutions are constructed as gauged WZW
models of the coset $SO(2,2)/SO(2)\times SO(1,1)$. We recover backgrounds
having metric and antisymmetric tensors, dilaton fields and two electromagnetic
fields. The theories describe anisotropically expanding and static universes
for some time values.
|
[
{
"created": "Fri, 24 Jan 1997 14:33:39 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Zayas",
"Leopoldo A. Pando",
"",
"Department of Theoretical Physics at Moscow\n State University"
]
] |
We herein set forth intrinsically four-dimensional string solutions and analyze some of its properties. The solutions are constructed as gauged WZW models of the coset $SO(2,2)/SO(2)\times SO(1,1)$. We recover backgrounds having metric and antisymmetric tensors, dilaton fields and two electromagnetic fields. The theories describe anisotropically expanding and static universes for some time values.
|
hep-th/9511166
|
Jan Willem v. Holten
|
R.H. Rietdijk and J.W. van Holten
|
Killing tensors and a new geometric duality
|
20 pages (a4), standard LaTeX, no figures
|
Nucl.Phys.B472:427-446,1996
|
10.1016/0550-3213(96)00206-4
|
NIKHEF/95-061
|
hep-th
| null |
We present a theorem describing a dual relation between the local geometry of
a space admitting a symmetric second-rank Killing tensor, and the local
geometry of a space with a metric specified by this Killing tensor. The
relation can be generalized to spinning spaces, but only at the expense of
introducing torsion. This introduces new supersymmetries in their geometry.
Interesting examples in four dimensions include the Kerr-Newman metric of
spinning black-holes and self-dual Taub-NUT.
|
[
{
"created": "Thu, 23 Nov 1995 09:58:53 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Rietdijk",
"R. H.",
""
],
[
"van Holten",
"J. W.",
""
]
] |
We present a theorem describing a dual relation between the local geometry of a space admitting a symmetric second-rank Killing tensor, and the local geometry of a space with a metric specified by this Killing tensor. The relation can be generalized to spinning spaces, but only at the expense of introducing torsion. This introduces new supersymmetries in their geometry. Interesting examples in four dimensions include the Kerr-Newman metric of spinning black-holes and self-dual Taub-NUT.
|
1405.1015
|
Zvi Bern
|
Zvi Bern, Scott Davies and Josh Nohle
|
On Loop Corrections to Subleading Soft Behavior of Gluons and Gravitons
|
RevTeX, 5 figures, 18 pages; v2: Important missing references to Low,
White and others included. Added note clarifying the reasons we use standard
soft limits in dimensional regularization, where subleading soft operators
are indeed renormalized; v3: minor corrections and clarifications
|
Phys. Rev. D 90, 085015 (2014)
|
10.1103/PhysRevD.90.085015
|
UCLA/14/TEP/102
|
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Cachazo and Strominger recently proposed an extension of the soft-graviton
theorem found by Weinberg. In addition, they proved the validity of their
extension at tree level. This was motivated by a Virasoro symmetry of the
gravity S-matrix related to BMS symmetry. As shown long ago by Weinberg, the
leading behavior is not corrected by loops. In contrast, we show that with the
standard definition of soft limits in dimensional regularization, the
subleading behavior is anomalous and modified by loop effects. We argue that
there are no new types of corrections to the first subleading behavior beyond
one loop and to the second subleading behavior beyond two loops. To facilitate
our investigation, we introduce a new momentum-conservation prescription for
defining the subleading terms of the soft limit. We discuss the loop-level
subleading soft behavior of gauge-theory amplitudes before turning to gravity
amplitudes.
|
[
{
"created": "Mon, 5 May 2014 19:45:46 GMT",
"version": "v1"
},
{
"created": "Mon, 19 May 2014 18:41:54 GMT",
"version": "v2"
},
{
"created": "Tue, 3 Jun 2014 17:34:26 GMT",
"version": "v3"
}
] |
2014-10-29
|
[
[
"Bern",
"Zvi",
""
],
[
"Davies",
"Scott",
""
],
[
"Nohle",
"Josh",
""
]
] |
Cachazo and Strominger recently proposed an extension of the soft-graviton theorem found by Weinberg. In addition, they proved the validity of their extension at tree level. This was motivated by a Virasoro symmetry of the gravity S-matrix related to BMS symmetry. As shown long ago by Weinberg, the leading behavior is not corrected by loops. In contrast, we show that with the standard definition of soft limits in dimensional regularization, the subleading behavior is anomalous and modified by loop effects. We argue that there are no new types of corrections to the first subleading behavior beyond one loop and to the second subleading behavior beyond two loops. To facilitate our investigation, we introduce a new momentum-conservation prescription for defining the subleading terms of the soft limit. We discuss the loop-level subleading soft behavior of gauge-theory amplitudes before turning to gravity amplitudes.
|
2401.08752
|
Zihan Zhou
|
Mikhail M. Ivanov, Yue-Zhou Li, Julio Parra-Martinez, Zihan Zhou
|
Gravitational Raman Scattering in Effective Field Theory: a Scalar Tidal
Matching at $\mathcal{O}(G^3)$
|
5+5 pages
| null | null |
MIT-CTP/5664
|
hep-th astro-ph.CO astro-ph.HE gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We present a framework to compute amplitudes for the gravitational analog of
the Raman process, a quasi-elastic scattering of waves off compact objects, in
worldline effective field theory (EFT). As an example, we calculate third
post-Minkowskian (PM) order ($\mathcal{O}(G^3)$), or two-loop, phase shifts for
the scattering of a massless scalar field including all tidal effects and
dissipation. Our calculation unveils two sources of the classical
renormalization-group flow of dynamical Love numbers: a universal running
independent of the nature of the compact object, and a running self-induced by
tides. Restricting to the black hole case, we find that our EFT phase shifts
agree exactly with those from general relativity, provided that the relevant
static Love numbers are set to zero. In addition, we carry out a complete
matching of the leading scalar dynamical Love number required to renormalize a
universal short scale divergence in the S-wave. Our results pave the way for
systematic calculations of gravitational Raman scattering at higher PM orders.
|
[
{
"created": "Tue, 16 Jan 2024 19:00:01 GMT",
"version": "v1"
}
] |
2024-01-18
|
[
[
"Ivanov",
"Mikhail M.",
""
],
[
"Li",
"Yue-Zhou",
""
],
[
"Parra-Martinez",
"Julio",
""
],
[
"Zhou",
"Zihan",
""
]
] |
We present a framework to compute amplitudes for the gravitational analog of the Raman process, a quasi-elastic scattering of waves off compact objects, in worldline effective field theory (EFT). As an example, we calculate third post-Minkowskian (PM) order ($\mathcal{O}(G^3)$), or two-loop, phase shifts for the scattering of a massless scalar field including all tidal effects and dissipation. Our calculation unveils two sources of the classical renormalization-group flow of dynamical Love numbers: a universal running independent of the nature of the compact object, and a running self-induced by tides. Restricting to the black hole case, we find that our EFT phase shifts agree exactly with those from general relativity, provided that the relevant static Love numbers are set to zero. In addition, we carry out a complete matching of the leading scalar dynamical Love number required to renormalize a universal short scale divergence in the S-wave. Our results pave the way for systematic calculations of gravitational Raman scattering at higher PM orders.
|
2112.00972
|
Linus Too
|
Marika Taylor and Linus Too
|
Generalised proofs of the first law of entanglement entropy
|
57 pages
| null |
10.1116/5.0091096
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we develop generalised proofs of the holographic first law of
entanglement entropy using holographic renormalisation. These proofs establish
the holographic first law for non-normalizable variations of the bulk metric,
hence relaxing the boundary conditions imposed on variations in earlier works.
Boundary and counterterm contributions to conserved charges computed via
covariant phase space analysis have been explored previously. Here we discuss
in detail how counterterm contributions are treated in the covariant phase
approach to proving the first law. Our methodology would be applicable to
generalizing other holographic information analyses to wider classes of
gravitational backgrounds.
|
[
{
"created": "Thu, 2 Dec 2021 04:11:57 GMT",
"version": "v1"
}
] |
2024-06-19
|
[
[
"Taylor",
"Marika",
""
],
[
"Too",
"Linus",
""
]
] |
In this paper we develop generalised proofs of the holographic first law of entanglement entropy using holographic renormalisation. These proofs establish the holographic first law for non-normalizable variations of the bulk metric, hence relaxing the boundary conditions imposed on variations in earlier works. Boundary and counterterm contributions to conserved charges computed via covariant phase space analysis have been explored previously. Here we discuss in detail how counterterm contributions are treated in the covariant phase approach to proving the first law. Our methodology would be applicable to generalizing other holographic information analyses to wider classes of gravitational backgrounds.
|
1809.00897
|
Cesar Fosco
|
C. D. Fosco and F. A. Schaposnik
|
Current correlation functions from a bosonized theory in 3/2+1
dimensions
|
16 pages, no figures, typos corrected, expanded explanations
| null | null | null |
hep-th cond-mat.other
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Within the context of a bosonized theory, we evaluate the current-current
correlation functions corresponding to a massive Dirac field in 2+1 dimensions,
which is constrained to a spatial half-plane. We apply the result to the
evaluation of induced vacuum currents in the presence of an external field. We
comment on the relation with the purely fermionic version of the model, in the
large-mass limit.
|
[
{
"created": "Tue, 4 Sep 2018 11:37:34 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Sep 2019 12:26:25 GMT",
"version": "v2"
}
] |
2019-09-12
|
[
[
"Fosco",
"C. D.",
""
],
[
"Schaposnik",
"F. A.",
""
]
] |
Within the context of a bosonized theory, we evaluate the current-current correlation functions corresponding to a massive Dirac field in 2+1 dimensions, which is constrained to a spatial half-plane. We apply the result to the evaluation of induced vacuum currents in the presence of an external field. We comment on the relation with the purely fermionic version of the model, in the large-mass limit.
|
hep-th/0212146
|
Marty Stock
|
R. Jackiw
|
Observations on noncommuting coordinates and on fields depending on them
|
8 pages; TH-2002, Paris, France, July 2002; email correspondence to
jackiw@lns.mit.edu
|
Annales Henri Poincare 4S2 (2003) S913-S919
|
10.1007/s00023-003-0971-5
|
MIT-CTP-3335
|
hep-th
| null |
The original ideas about noncommuting coordinates are recalled. The
connection between U(1) gauge fields defined on noncommuting coordinates and
fluid mechanics is explained.
|
[
{
"created": "Thu, 12 Dec 2002 20:27:59 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Jackiw",
"R.",
""
]
] |
The original ideas about noncommuting coordinates are recalled. The connection between U(1) gauge fields defined on noncommuting coordinates and fluid mechanics is explained.
|
hep-th/9807019
|
Jose Navarro Salas
|
J. Navarro-Salas and P. Navarro
|
A Note on Einstein Gravity on AdS$_3$ and Boundary Conformal Field
Theory
|
LateX file, 10 pages
|
Phys.Lett. B439 (1998) 262-266
|
10.1016/S0370-2693(98)01032-6
| null |
hep-th gr-qc
| null |
We find a simple relation between the first subleading terms in the
asymptotic expansion of the metric field in AdS$_3$, obeying the Brown-Henneaux
boundary conditions, and the stress tensor of the underlying Liouville theory
on the boundary. We can also provide an more explicit relation between the bulk
metric and the boundary conformal field theory when it is described in terms of
a free field with a background charge.
|
[
{
"created": "Thu, 2 Jul 1998 16:09:37 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Navarro-Salas",
"J.",
""
],
[
"Navarro",
"P.",
""
]
] |
We find a simple relation between the first subleading terms in the asymptotic expansion of the metric field in AdS$_3$, obeying the Brown-Henneaux boundary conditions, and the stress tensor of the underlying Liouville theory on the boundary. We can also provide an more explicit relation between the bulk metric and the boundary conformal field theory when it is described in terms of a free field with a background charge.
|
1204.2632
|
Alok Kumar
|
Alok Kumar
|
Effective Action and Mean Fermion Number Density of Graphene in Constant
Magnetic Field at Finite Temperature and Density
|
12 pages
|
Asian Journal of Chemistry, Vol. 25, Supplementary Issue (2013),
S455-S458
| null | null |
hep-th cond-mat.mes-hall
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
The effective action and the mean fermion number density of graphene in
constant external magnetic field at finite temperature and density are
calculated. Closed expressions for these are given and their variation with
temperature are studied. It is found that the mean fermion number density peaks
around a particular temperature, depending on the chemical potential at low
temperatures. This feature is interpreted as 'condensation of fermions
${\bar{\psi}}{\psi}$' in graphene. In future, it is interesting to extend and
explore this calculation and the work of the reference [20] for the case of
Graphyne [23].
|
[
{
"created": "Thu, 12 Apr 2012 06:58:40 GMT",
"version": "v1"
}
] |
2013-03-29
|
[
[
"Kumar",
"Alok",
""
]
] |
The effective action and the mean fermion number density of graphene in constant external magnetic field at finite temperature and density are calculated. Closed expressions for these are given and their variation with temperature are studied. It is found that the mean fermion number density peaks around a particular temperature, depending on the chemical potential at low temperatures. This feature is interpreted as 'condensation of fermions ${\bar{\psi}}{\psi}$' in graphene. In future, it is interesting to extend and explore this calculation and the work of the reference [20] for the case of Graphyne [23].
|
1404.0940
|
Rodrigo Bufalo Santos
|
R. Bufalo and B.M. Pimentel
|
Batalin-Fradkin-Vilkovisky quantization of the generalized scalar
electrodynamics
| null |
Physical Review D 88, 065013 (2013)
|
10.1103/PhysRevD.88.065013
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This work comprises a study upon the quantization and the renormalizability
of the generalized electrodynamics of spinless charged particles (mesons),
namely, the Generalized Scalar Electrodynamics ($GSQED_{4}$). The theory is
quantized in the covariant framework of the Batalin-Fradkin-Vilkovisky method.
Thereafter, the complete Green's functions are obtained through functional
methods and a proper discussion on the theory's renormalizability is also
given. Next, it is presented the computation and further discussion on the
radiative correction at $\alpha$-order; and, as it turns out, an unexpected
$m_{P}$-dependent divergence on the mesonic sector of the theory is found.
Furthermore, in order to show the effectiveness of the renormalization
procedure on the present theory it is also shown a diagrammatic discussion on
the photon self-energy at $\alpha^{2}$-order, where is observed contributions
from the meson self-energy function. Afterwards, we present the expressions of
the counter-terms and effective coupling of the theory. Obtaining from the
later a energy range where the theory is defined $m^{2} \leq k^{2} <
m_{P}^{2}$. It is also shown in our final discussion that the new divergence is
absorbed suitably by the mass counter-term $\delta_{Z_{0}}$, showing therefore
that the gauge WFT identities are satisfied still.
|
[
{
"created": "Thu, 3 Apr 2014 14:45:30 GMT",
"version": "v1"
}
] |
2014-04-04
|
[
[
"Bufalo",
"R.",
""
],
[
"Pimentel",
"B. M.",
""
]
] |
This work comprises a study upon the quantization and the renormalizability of the generalized electrodynamics of spinless charged particles (mesons), namely, the Generalized Scalar Electrodynamics ($GSQED_{4}$). The theory is quantized in the covariant framework of the Batalin-Fradkin-Vilkovisky method. Thereafter, the complete Green's functions are obtained through functional methods and a proper discussion on the theory's renormalizability is also given. Next, it is presented the computation and further discussion on the radiative correction at $\alpha$-order; and, as it turns out, an unexpected $m_{P}$-dependent divergence on the mesonic sector of the theory is found. Furthermore, in order to show the effectiveness of the renormalization procedure on the present theory it is also shown a diagrammatic discussion on the photon self-energy at $\alpha^{2}$-order, where is observed contributions from the meson self-energy function. Afterwards, we present the expressions of the counter-terms and effective coupling of the theory. Obtaining from the later a energy range where the theory is defined $m^{2} \leq k^{2} < m_{P}^{2}$. It is also shown in our final discussion that the new divergence is absorbed suitably by the mass counter-term $\delta_{Z_{0}}$, showing therefore that the gauge WFT identities are satisfied still.
|
2212.14823
|
Michelangelo Preti
|
Michelangelo Preti
|
Correlators in superconformal quivers made QUICK
|
26 pages, 1 figure, 1 table
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we conclude the program of 2012.15792 and 2105.00257 about
perturbative approaches for $\mathcal{N}=2$ superconformal quiver theories in
4D. We consider several classes of observables that involve multitrace local
operators and Wilson loops scattered in all the possible ways among the quiver.
We evaluate them exploiting the multi-matrix model arising from supersymmetric
localisation and we generalise the solution to both $SU(N)$ and $U(N)$ cases.
Moreover, we provide QUICK (QUIver Correlator Kit) a Wolfram Mathematica
package designed to automatise the perturbative solution of the $A_{q-1}$
multi-matrix model for all the observables mentioned above. Given the
interpolating nature of the superconformal quiver theories $A_{q-1}$, the
package is an efficient tool to compute correlators also in SCQCD,
$\mathcal{N}=4$ SYM and its $\mathbb{Z}_q$ orbifolds. This manuscript includes
a user guide and some pedagogical examples.
|
[
{
"created": "Fri, 30 Dec 2022 16:54:35 GMT",
"version": "v1"
}
] |
2023-01-02
|
[
[
"Preti",
"Michelangelo",
""
]
] |
In this paper we conclude the program of 2012.15792 and 2105.00257 about perturbative approaches for $\mathcal{N}=2$ superconformal quiver theories in 4D. We consider several classes of observables that involve multitrace local operators and Wilson loops scattered in all the possible ways among the quiver. We evaluate them exploiting the multi-matrix model arising from supersymmetric localisation and we generalise the solution to both $SU(N)$ and $U(N)$ cases. Moreover, we provide QUICK (QUIver Correlator Kit) a Wolfram Mathematica package designed to automatise the perturbative solution of the $A_{q-1}$ multi-matrix model for all the observables mentioned above. Given the interpolating nature of the superconformal quiver theories $A_{q-1}$, the package is an efficient tool to compute correlators also in SCQCD, $\mathcal{N}=4$ SYM and its $\mathbb{Z}_q$ orbifolds. This manuscript includes a user guide and some pedagogical examples.
|
2110.09798
|
Doron Gepner R
|
Vladimir Belavin, Doron Gepner, J. Ramos Cabezas
|
The crossing multiplier for solvable lattice models
|
17 pages, no figures. Major revision. Added an appendix for the proof
for WZW models of the character formula
| null |
10.1088/2399-6528/ac8392
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study the large class of solvable lattice models, based on the data of
conformal field theory.
These models are constructed from any conformal field theory.
We consider the lattice models based on affine algebras described by Jimbo et
al., for the algebras $ABCD$ and by Kuniba et al. for $G_2$. We find a general
formula for the crossing multipliers of these models. It is shown that these
crossing multipliers are also given by the principally specialized characters
of the model in question. Therefore we conjecture that the crossing multipliers
in this large class of solvable interaction round the face lattice models are
given by the characters of the conformal field theory on which they are based.
We use this result to study the local state probabilities of these models and
show that they are given by the branching rule, in regime III.
|
[
{
"created": "Tue, 19 Oct 2021 08:26:57 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Dec 2021 19:18:26 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Dec 2021 09:29:08 GMT",
"version": "v3"
}
] |
2022-10-20
|
[
[
"Belavin",
"Vladimir",
""
],
[
"Gepner",
"Doron",
""
],
[
"Cabezas",
"J. Ramos",
""
]
] |
We study the large class of solvable lattice models, based on the data of conformal field theory. These models are constructed from any conformal field theory. We consider the lattice models based on affine algebras described by Jimbo et al., for the algebras $ABCD$ and by Kuniba et al. for $G_2$. We find a general formula for the crossing multipliers of these models. It is shown that these crossing multipliers are also given by the principally specialized characters of the model in question. Therefore we conjecture that the crossing multipliers in this large class of solvable interaction round the face lattice models are given by the characters of the conformal field theory on which they are based. We use this result to study the local state probabilities of these models and show that they are given by the branching rule, in regime III.
|
1709.02810
|
Shaokai Jian
|
Shao-Kai Jian, Zhuo-Yu Xian, Hong Yao
|
Quantum criticality and duality in the SYK/AdS$_2$ chain
|
4.5 pages + supplemental material, 1 figure, published version
|
Phys. Rev. B 97, 205141 (2018)
|
10.1103/PhysRevB.97.205141
| null |
hep-th cond-mat.str-el gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the quantum critical point (QCP) between a diffusive metal and
ferromagnetic (or antiferromagnetic) phases in the SYK chain has a
gravitational description corresponding to the double-trace deformation in an
AdS$_2$ chain. Specifically, by studying a double-trace deformation of a $Z_2$
scalar in an AdS$_2$ chain where the $Z_2$ scalar is dual to the order
parameter in the SYK chain, we find that the susceptibility and renormalization
group equation describing the QCP in the SYK chain can be exactly reproduced in
the holographic model. Our results suggest that the infrared geometry in the
gravity theory dual to the diffusive metal of the SYK chain is also an AdS$_2$
chain. We further show that the transition in SYK model captures universal
information about double-trace deformation in generic black holes with near
horizon AdS$_2$ spacetime.
|
[
{
"created": "Fri, 8 Sep 2017 18:00:01 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Feb 2018 08:18:11 GMT",
"version": "v2"
},
{
"created": "Wed, 30 May 2018 04:06:23 GMT",
"version": "v3"
}
] |
2018-05-31
|
[
[
"Jian",
"Shao-Kai",
""
],
[
"Xian",
"Zhuo-Yu",
""
],
[
"Yao",
"Hong",
""
]
] |
We show that the quantum critical point (QCP) between a diffusive metal and ferromagnetic (or antiferromagnetic) phases in the SYK chain has a gravitational description corresponding to the double-trace deformation in an AdS$_2$ chain. Specifically, by studying a double-trace deformation of a $Z_2$ scalar in an AdS$_2$ chain where the $Z_2$ scalar is dual to the order parameter in the SYK chain, we find that the susceptibility and renormalization group equation describing the QCP in the SYK chain can be exactly reproduced in the holographic model. Our results suggest that the infrared geometry in the gravity theory dual to the diffusive metal of the SYK chain is also an AdS$_2$ chain. We further show that the transition in SYK model captures universal information about double-trace deformation in generic black holes with near horizon AdS$_2$ spacetime.
|
hep-th/9705148
|
Clifford Johnson
|
Clifford V. Johnson
|
On the Orientifolding of Type II NS-Fivebranes
|
13 pages, harvmac.tex, epsf.tex for decoration (revision 22/5/97:
references considerably improved)
|
Phys.Rev. D56 (1997) 5160-5165
|
10.1103/PhysRevD.56.5160
|
UK/97-08
|
hep-th
| null |
Dualities between certain supersymmetric gauge field theories in three and
four dimensions have been studied in considerable detail recently, by realizing
them as geometric manipulations of configurations of extended objects in type
II string theory. These extended objects include `D-branes' and
`NS-(five)branes'. In constructing the brane configurations which realize
dualities for orthogonal and symplectic gauge groups, an `orientifold' was
introduced, which results in non-orientable string sectors. Certain features of
orientifolded NS-branes -such as their existence- were assumed in the original
construction, which have not been verified directly. However, those features
fit very well together with the properties of the relevant field theories, and
subsequently yielded the known dualities. This letter describes how
orientifolded NS-branes can exist in type II string theory by displaying
explicitly that the assumed combinations of world-sheet and space-time
symmetries do indeed leave the NS-brane invariant and therefore can be gauged.
The resulting orientifolded NS-brane can be described in terms of background
fields, and furthermore as an exact conformal field theory, to exactly the same
extent as the standard NS-brane.
|
[
{
"created": "Tue, 20 May 1997 19:36:24 GMT",
"version": "v1"
},
{
"created": "Wed, 21 May 1997 04:04:52 GMT",
"version": "v2"
},
{
"created": "Thu, 22 May 1997 22:09:32 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Johnson",
"Clifford V.",
""
]
] |
Dualities between certain supersymmetric gauge field theories in three and four dimensions have been studied in considerable detail recently, by realizing them as geometric manipulations of configurations of extended objects in type II string theory. These extended objects include `D-branes' and `NS-(five)branes'. In constructing the brane configurations which realize dualities for orthogonal and symplectic gauge groups, an `orientifold' was introduced, which results in non-orientable string sectors. Certain features of orientifolded NS-branes -such as their existence- were assumed in the original construction, which have not been verified directly. However, those features fit very well together with the properties of the relevant field theories, and subsequently yielded the known dualities. This letter describes how orientifolded NS-branes can exist in type II string theory by displaying explicitly that the assumed combinations of world-sheet and space-time symmetries do indeed leave the NS-brane invariant and therefore can be gauged. The resulting orientifolded NS-brane can be described in terms of background fields, and furthermore as an exact conformal field theory, to exactly the same extent as the standard NS-brane.
|
hep-th/9311160
|
Vladimir Manko
|
V.V.Dodonov, O.V.Man'ko, V.I.Man'ko and L.Rosa
|
Thermal noise and oscillations of photon distribution for squeezed and
correlated light
|
Latex,7 pages INFN-Na-IV-93/31,DSF-T-93/31
|
Phys.Lett. A185 (1994) 231
|
10.1016/0375-9601(94)90609-2
| null |
hep-th
| null |
The oscillations of photon distribution function for squeezed and correlated
light are shown to decrease when the temperature increases.The influence of the
squeezing parameter and photon quadrature correlation coefficient on the photon
distribution oscillations at nonzero temperatures is studied. The connection of
deformation of Planck distribution formula with oscillations of distribution
for squeezed and correlated light is discussed.
|
[
{
"created": "Sat, 27 Nov 1993 14:40:39 GMT",
"version": "v1"
}
] |
2019-08-17
|
[
[
"Dodonov",
"V. V.",
""
],
[
"Man'ko",
"O. V.",
""
],
[
"Man'ko",
"V. I.",
""
],
[
"Rosa",
"L.",
""
]
] |
The oscillations of photon distribution function for squeezed and correlated light are shown to decrease when the temperature increases.The influence of the squeezing parameter and photon quadrature correlation coefficient on the photon distribution oscillations at nonzero temperatures is studied. The connection of deformation of Planck distribution formula with oscillations of distribution for squeezed and correlated light is discussed.
|
hep-th/0701209
|
Bin Wang
|
Songbai Chen, Bin Wang and Ru-Keng Su
|
Wave dynamics of a six-dimensional black hole localized on a tensional
three-brane
|
revised version, 10 pages, 1 table and 2 figures. Accepted for
publication in Phys. Lett. B
|
Phys.Lett.B647:282-287,2007
|
10.1016/j.physletb.2007.02.028
| null |
hep-th
| null |
We study the quasinormal modes and the late-time tail behavior of scalar
perturbation in the background of a black hole localized on a tensional
three-brane in a world with two large extra dimensions. We find that finite
brane tension modifies the standard results in the wave dynamics for the case
of a black hole on a brane with completely negligible tension. We argue that
the wave dynamics contains the imprint of the extra dimensions.
|
[
{
"created": "Tue, 23 Jan 2007 08:52:29 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Feb 2007 11:25:09 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Chen",
"Songbai",
""
],
[
"Wang",
"Bin",
""
],
[
"Su",
"Ru-Keng",
""
]
] |
We study the quasinormal modes and the late-time tail behavior of scalar perturbation in the background of a black hole localized on a tensional three-brane in a world with two large extra dimensions. We find that finite brane tension modifies the standard results in the wave dynamics for the case of a black hole on a brane with completely negligible tension. We argue that the wave dynamics contains the imprint of the extra dimensions.
|
hep-th/9311089
| null |
L.Bonora and C.S.Xiong
|
Correlation functions of two-matrix models
|
38 p., LaTeX, SISSA 172/93/EP, BONN-HE-45/93. (revised version: a few
remarks added, misprints corrected)
| null | null | null |
hep-th
| null |
We show how to calculate correlation functions of two matrix models. Our
method consists in making full use of the integrable hierarchies and their
reductions, which were shown in previous papers to naturally appear in
multi--matrix models. The second ingredient we use are the $W$--constraints. In
fact an explicit solution of the relevant hierarchy, satisfying the
$W$--constraints (string equation), underlies the explicit calculation of the
correlation functions. In the course of our derivation we do not use any
continuum limit tecnique. This allows us to find many solutions which are
invisible to the latter technique.
|
[
{
"created": "Tue, 16 Nov 1993 16:12:25 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jan 1994 18:47:00 GMT",
"version": "v2"
},
{
"created": "Wed, 19 Jan 1994 09:07:09 GMT",
"version": "v3"
}
] |
2008-02-03
|
[
[
"Bonora",
"L.",
""
],
[
"Xiong",
"C. S.",
""
]
] |
We show how to calculate correlation functions of two matrix models. Our method consists in making full use of the integrable hierarchies and their reductions, which were shown in previous papers to naturally appear in multi--matrix models. The second ingredient we use are the $W$--constraints. In fact an explicit solution of the relevant hierarchy, satisfying the $W$--constraints (string equation), underlies the explicit calculation of the correlation functions. In the course of our derivation we do not use any continuum limit tecnique. This allows us to find many solutions which are invisible to the latter technique.
|
1701.01455
|
Scott Watson
|
Ogan Ozsoy, John T. Giblin Jr., Eva Nesbit, Gizem Sengor, and Scott
Watson
|
Toward an Effective Field Theory Approach to Reheating
|
50 pages, 4 figures. References added
|
Phys. Rev. D 96, 123524 (2017)
|
10.1103/PhysRevD.96.123524
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate whether Effective Field Theory (EFT) approaches, which have
been useful in examining inflation and dark energy, can also be used to
establish a systematic approach to inflationary reheating. We consider two
methods. First, we extend Weinberg's background EFT to the end of inflation and
reheating. We establish when parametric resonance and decay of the inflaton
occurs, but also find intrinsic theoretical limitations, which make it
difficult to capture some reheating models. This motivates us to next consider
Cheung, et. al.'s EFT approach, which instead focuses on perturbations and the
symmetry breaking induced by the cosmological background. Adapting the latter
approach to reheating implies some new and important differences compared to
the EFT of Inflation. In particular, there are new hierarchical scales, and we
must account for inflaton oscillations during reheating, which lead to discrete
symmetry breaking. Guided by the fundamental symmetries, we construct the EFT
of reheating, and as an example of its usefulness we establish a new class of
reheating models and the corresponding predictions for gravity wave
observations. In this paper we primarily focus on the first stages of
preheating. We conclude by discussing challenges for the approach and future
directions. This paper builds on ideas first proposed in the note
arXiv:1507.06651.
|
[
{
"created": "Thu, 5 Jan 2017 19:12:24 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Jan 2017 23:08:26 GMT",
"version": "v2"
}
] |
2017-12-27
|
[
[
"Ozsoy",
"Ogan",
""
],
[
"Giblin",
"John T.",
"Jr."
],
[
"Nesbit",
"Eva",
""
],
[
"Sengor",
"Gizem",
""
],
[
"Watson",
"Scott",
""
]
] |
We investigate whether Effective Field Theory (EFT) approaches, which have been useful in examining inflation and dark energy, can also be used to establish a systematic approach to inflationary reheating. We consider two methods. First, we extend Weinberg's background EFT to the end of inflation and reheating. We establish when parametric resonance and decay of the inflaton occurs, but also find intrinsic theoretical limitations, which make it difficult to capture some reheating models. This motivates us to next consider Cheung, et. al.'s EFT approach, which instead focuses on perturbations and the symmetry breaking induced by the cosmological background. Adapting the latter approach to reheating implies some new and important differences compared to the EFT of Inflation. In particular, there are new hierarchical scales, and we must account for inflaton oscillations during reheating, which lead to discrete symmetry breaking. Guided by the fundamental symmetries, we construct the EFT of reheating, and as an example of its usefulness we establish a new class of reheating models and the corresponding predictions for gravity wave observations. In this paper we primarily focus on the first stages of preheating. We conclude by discussing challenges for the approach and future directions. This paper builds on ideas first proposed in the note arXiv:1507.06651.
|
1310.3127
|
Chris White
|
Mark Dukes, Einan Gardi, Heather McAslan, Darren J. Scott and Chris D.
White
|
Webs and Posets
|
42 pages, 21 figures
| null |
10.1007/JHEP01(2014)024
|
Edinburgh 2013/27, IPPP/13/84, DCPT/13/168
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The non-Abelian exponentiation theorem has recently been generalised to
correlators of multiple Wilson line operators. The perturbative expansions of
these correlators exponentiate in terms of sets of diagrams called webs, which
together give rise to colour factors corresponding to connected graphs. The
colour and kinematic degrees of freedom of individual diagrams in a web are
entangled by mixing matrices of purely combinatorial origin. In this paper we
relate the combinatorial study of these matrices to properties of partially
ordered sets (posets), and hence obtain explicit solutions for certain families
of web-mixing matrix, at arbitrary order in perturbation theory. We also
provide a general expression for the rank of a general class of mixing
matrices, which governs the number of independent colour factors arising from
such webs. Finally, we use the poset language to examine a previously
conjectured sum rule for the columns of web-mixing matrices which governs the
cancellation of the leading subdivergences between diagrams in the web. Our
results, when combined with parallel developments in the evaluation of
kinematic integrals, offer new insights into the all-order structure of
infrared singularities in non-Abelian gauge theories.
|
[
{
"created": "Fri, 11 Oct 2013 14:00:45 GMT",
"version": "v1"
}
] |
2015-06-17
|
[
[
"Dukes",
"Mark",
""
],
[
"Gardi",
"Einan",
""
],
[
"McAslan",
"Heather",
""
],
[
"Scott",
"Darren J.",
""
],
[
"White",
"Chris D.",
""
]
] |
The non-Abelian exponentiation theorem has recently been generalised to correlators of multiple Wilson line operators. The perturbative expansions of these correlators exponentiate in terms of sets of diagrams called webs, which together give rise to colour factors corresponding to connected graphs. The colour and kinematic degrees of freedom of individual diagrams in a web are entangled by mixing matrices of purely combinatorial origin. In this paper we relate the combinatorial study of these matrices to properties of partially ordered sets (posets), and hence obtain explicit solutions for certain families of web-mixing matrix, at arbitrary order in perturbation theory. We also provide a general expression for the rank of a general class of mixing matrices, which governs the number of independent colour factors arising from such webs. Finally, we use the poset language to examine a previously conjectured sum rule for the columns of web-mixing matrices which governs the cancellation of the leading subdivergences between diagrams in the web. Our results, when combined with parallel developments in the evaluation of kinematic integrals, offer new insights into the all-order structure of infrared singularities in non-Abelian gauge theories.
|
0907.2207
|
Ruslan Metsaev
|
R.R. Metsaev
|
CFT adapted gauge invariant formulation of massive arbitrary spin fields
in AdS
|
14 pages, LaTeX-2e. v3: Typo corrected in 2nd line below Eq.(4.34)
|
Phys.Lett.B682:455-461,2010
|
10.1016/j.physletb.2009.11.037
|
FIAN-TD-2009-11
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using Poincare parametrization of AdS space, we study massive totally
symmetric arbitrary spin fields in AdS space of dimension greater than or equal
to four. CFT adapted gauge invariant formulation for such fields is developed.
Gauge symmetries are realized by using Stueckelberg formulation of massive
fields. We demonstrate that the mass parameter, curvature and radial coordinate
contributions to the gauge transformation and Lagrangian of the AdS massive
fields can be expressed in terms of ladder operators. Three representations for
the Lagrangian are discussed. Realization of the global AdS symmetries in the
conformal algebra basis is obtained. Modified de Donder gauge leading to simple
gauge fixed Lagrangian is found. The modified de Donder gauge leads to
decoupled equations of motion which can easily be solved in terms of the Bessel
function. New simple representation for gauge invariant Lagrangian of massive
(A)dS field in arbitrary coordinates is obtained. Light-cone gauge Lagrangian
of massive AdS field is also presented.
|
[
{
"created": "Mon, 13 Jul 2009 18:25:29 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Feb 2010 17:16:37 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Mar 2010 17:25:28 GMT",
"version": "v3"
}
] |
2010-03-02
|
[
[
"Metsaev",
"R. R.",
""
]
] |
Using Poincare parametrization of AdS space, we study massive totally symmetric arbitrary spin fields in AdS space of dimension greater than or equal to four. CFT adapted gauge invariant formulation for such fields is developed. Gauge symmetries are realized by using Stueckelberg formulation of massive fields. We demonstrate that the mass parameter, curvature and radial coordinate contributions to the gauge transformation and Lagrangian of the AdS massive fields can be expressed in terms of ladder operators. Three representations for the Lagrangian are discussed. Realization of the global AdS symmetries in the conformal algebra basis is obtained. Modified de Donder gauge leading to simple gauge fixed Lagrangian is found. The modified de Donder gauge leads to decoupled equations of motion which can easily be solved in terms of the Bessel function. New simple representation for gauge invariant Lagrangian of massive (A)dS field in arbitrary coordinates is obtained. Light-cone gauge Lagrangian of massive AdS field is also presented.
|
0905.1468
|
Mohammad Reza Setare
|
J Sadeghi, M R Setare, and A Banijamali
|
Cosmic acceleration and crossing of $\omega=-1$ in non-minimal modified
Gauss-Bonnet gravity
|
8 pages, no figures
|
Phys.Lett.B679:302-305,2009
|
10.1016/j.physletb.2009.07.003
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Modified Gauss-Bonnet, i.e, $f(G)$ gravity is a possible explanation of dark
energy. Late time cosmology for the $f(G)$ gravity non-minimally coupled with a
free massless scalar field have been investigated in Ref. [32]. In this paper
we generalize the work of Ref. [32] by including scalar potential in the matter
Lagrangian which is non-minimally coupled with modified Gauss-Bonnet gravity.
Also we obtain the conditions for having a much more amazing problem than the
acceleration of the universe, i.e: crossing of $\omega=-1$, in $f(G)$
non-minimally coupled with tachyonic Lagrangian.
|
[
{
"created": "Sun, 10 May 2009 12:08:21 GMT",
"version": "v1"
}
] |
2009-09-28
|
[
[
"Sadeghi",
"J",
""
],
[
"Setare",
"M R",
""
],
[
"Banijamali",
"A",
""
]
] |
Modified Gauss-Bonnet, i.e, $f(G)$ gravity is a possible explanation of dark energy. Late time cosmology for the $f(G)$ gravity non-minimally coupled with a free massless scalar field have been investigated in Ref. [32]. In this paper we generalize the work of Ref. [32] by including scalar potential in the matter Lagrangian which is non-minimally coupled with modified Gauss-Bonnet gravity. Also we obtain the conditions for having a much more amazing problem than the acceleration of the universe, i.e: crossing of $\omega=-1$, in $f(G)$ non-minimally coupled with tachyonic Lagrangian.
|
1005.0499
|
Harold Steinacker
|
Daniel N. Blaschke, Harold Steinacker
|
Schwarzschild Geometry Emerging from Matrix Models
|
21 pages, 1 figure
|
Class.Quant.Grav.27:185020,2010
|
10.1088/0264-9381/27/18/185020
|
UWThPh-2010-07
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate how various geometries can emerge from Yang-Mills type matrix
models with branes, and consider the examples of Schwarzschild and
Reissner-Nordstroem geometry. We provide an explicit embedding of these branes
in R^{2,5} and R^{4,6}, as well as an appropriate Poisson resp. symplectic
structure which determines the non-commutativity of space-time. The embedding
is asymptotically flat with asymptotically constant \theta^{\mu\nu} for large
r, and therefore suitable for a generalization to many-body configurations.
This is an illustration of our previous work arXiv:1003.4132, where we have
shown how the Einstein-Hilbert action can be realized within such matrix
models.
|
[
{
"created": "Tue, 4 May 2010 12:17:34 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Blaschke",
"Daniel N.",
""
],
[
"Steinacker",
"Harold",
""
]
] |
We demonstrate how various geometries can emerge from Yang-Mills type matrix models with branes, and consider the examples of Schwarzschild and Reissner-Nordstroem geometry. We provide an explicit embedding of these branes in R^{2,5} and R^{4,6}, as well as an appropriate Poisson resp. symplectic structure which determines the non-commutativity of space-time. The embedding is asymptotically flat with asymptotically constant \theta^{\mu\nu} for large r, and therefore suitable for a generalization to many-body configurations. This is an illustration of our previous work arXiv:1003.4132, where we have shown how the Einstein-Hilbert action can be realized within such matrix models.
|
1407.4914
|
Ram Brustein
|
Ram Brustein, A.J.M. Medved
|
How Black Holes Burn
|
22 pages, 3 figures
|
Phys. Rev. D 91, 084062 (2015)
|
10.1103/PhysRevD.91.084062
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a calculation of the rate of information release from a
Schwarzschild BH. We have recently extended Hawking's theory of black hole (BH)
evaporation to account for quantum fluctuations of the background geometry, as
well as for back-reaction and time-dependence effects. Our main result has been
a two-point function matrix for the radiation that consists of Hawking's
thermal matrix plus off-diagonal corrections that are initially small and
become more important as the evaporation proceeds. Here, we show that, if the
phases and amplitudes of the radiation matrix are recorded over the lifetime of
the BH, then the radiation purifies in a continuous way. We conjecture that our
results establish the maximal rate at which information can be released from a
semiclassical BH, to be contrasted with the minimal rate that was predicted by
Page on the basis of generic unitarity arguments. When the phases of the
radiation matrix are not tracked, we show that it purifies only parametrically
close to the end of the BH evaporation and does so extremely fast. Our main
technical tool in the quantitative treatment of this purification is the purity
of the radiation matrix and, its inverse, the participation ratio. These can be
related to the Renyi entropy of the density matrix of the emitted radiation.
|
[
{
"created": "Fri, 18 Jul 2014 08:45:32 GMT",
"version": "v1"
}
] |
2015-05-06
|
[
[
"Brustein",
"Ram",
""
],
[
"Medved",
"A. J. M.",
""
]
] |
We present a calculation of the rate of information release from a Schwarzschild BH. We have recently extended Hawking's theory of black hole (BH) evaporation to account for quantum fluctuations of the background geometry, as well as for back-reaction and time-dependence effects. Our main result has been a two-point function matrix for the radiation that consists of Hawking's thermal matrix plus off-diagonal corrections that are initially small and become more important as the evaporation proceeds. Here, we show that, if the phases and amplitudes of the radiation matrix are recorded over the lifetime of the BH, then the radiation purifies in a continuous way. We conjecture that our results establish the maximal rate at which information can be released from a semiclassical BH, to be contrasted with the minimal rate that was predicted by Page on the basis of generic unitarity arguments. When the phases of the radiation matrix are not tracked, we show that it purifies only parametrically close to the end of the BH evaporation and does so extremely fast. Our main technical tool in the quantitative treatment of this purification is the purity of the radiation matrix and, its inverse, the participation ratio. These can be related to the Renyi entropy of the density matrix of the emitted radiation.
|
hep-th/9811149
|
Damiano Anselmi
|
D. Anselmi
|
Quantum Conformal Algebras and Closed Conformal Field Theory
|
19 pages
|
Nucl.Phys. B554 (1999) 415-436
|
10.1016/S0550-3213(99)00300-4
|
CERN-TH/98-36
|
hep-th hep-ph math-ph math.MP
| null |
We investigate the quantum conformal algebras of N=2 and N=1 supersymmetric
gauge theories. Phenomena occurring at strong coupling are analysed using the
Nachtmann theorem and very general, model-independent, arguments. The results
lead us to introduce a novel class of conformal field theories, identified by a
closed quantum conformal algebra. We conjecture that they are the exact
solution to the strongly coupled large-N_c limit of the open conformal field
theories. We study the basic properties of closed conformal field theory and
work out the operator product expansion of the conserved current multiplet T.
The OPE structure is uniquely determined by two central charges, c and a. The
multiplet T does not contain just the stress-tensor, but also R-currents and
finite mass operators. For this reason, the ratio c/a is different from 1. On
the other hand, an open algebra contains an infinite tower of non-conserved
currents, organized in pairs and singlets with respect to renormalization
mixing. T mixes with a second multiplet T* and the main consequence is that c
and a have different subleading corrections. The closed algebra simplifies
considerably at c=a, where it coincides with the N=4 one.
|
[
{
"created": "Mon, 16 Nov 1998 15:12:27 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Anselmi",
"D.",
""
]
] |
We investigate the quantum conformal algebras of N=2 and N=1 supersymmetric gauge theories. Phenomena occurring at strong coupling are analysed using the Nachtmann theorem and very general, model-independent, arguments. The results lead us to introduce a novel class of conformal field theories, identified by a closed quantum conformal algebra. We conjecture that they are the exact solution to the strongly coupled large-N_c limit of the open conformal field theories. We study the basic properties of closed conformal field theory and work out the operator product expansion of the conserved current multiplet T. The OPE structure is uniquely determined by two central charges, c and a. The multiplet T does not contain just the stress-tensor, but also R-currents and finite mass operators. For this reason, the ratio c/a is different from 1. On the other hand, an open algebra contains an infinite tower of non-conserved currents, organized in pairs and singlets with respect to renormalization mixing. T mixes with a second multiplet T* and the main consequence is that c and a have different subleading corrections. The closed algebra simplifies considerably at c=a, where it coincides with the N=4 one.
|
hep-th/0205094
|
Volkmar Putz
|
V. Putz, R. Wulkenhaar
|
Seiberg-Witten map for noncommutative super Yang-Mills theory
|
9 pages
|
Int.J.Mod.Phys. A18 (2003) 3325-3334
|
10.1142/S0217751X03015246
| null |
hep-th
| null |
In this letter we derive the Seiberg-Witten map for noncommutative super
Yang-Mills theory in Wess-Zumino gauge. Following (and using results of)
hep-th/0108045 we split the observer Lorentz transformations into a covariant
particle Lorentz transformation and a remainder which gives directly the
Seiberg-Witten differential equations. These differential equations lead to a
theta-expansion of the noncommutative super Yang-Mills action which is
invariant under commutative gauge transformations and commutative observer
Lorentz transformation, but not invariant under commutative supersymmetry
transformations: The theta-expansion of noncommutative supersymmetry leads to a
theta-dependent symmetry transformation. For this reason the Seiberg-Witten map
of super Yang-Mills theory cannot be expressed in terms of superfields.
|
[
{
"created": "Fri, 10 May 2002 08:34:23 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Dec 2002 13:30:12 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Putz",
"V.",
""
],
[
"Wulkenhaar",
"R.",
""
]
] |
In this letter we derive the Seiberg-Witten map for noncommutative super Yang-Mills theory in Wess-Zumino gauge. Following (and using results of) hep-th/0108045 we split the observer Lorentz transformations into a covariant particle Lorentz transformation and a remainder which gives directly the Seiberg-Witten differential equations. These differential equations lead to a theta-expansion of the noncommutative super Yang-Mills action which is invariant under commutative gauge transformations and commutative observer Lorentz transformation, but not invariant under commutative supersymmetry transformations: The theta-expansion of noncommutative supersymmetry leads to a theta-dependent symmetry transformation. For this reason the Seiberg-Witten map of super Yang-Mills theory cannot be expressed in terms of superfields.
|
0806.4382
|
Gianluca Calcagni
|
Stephon H.S. Alexander, Gianluca Calcagni
|
Superconducting loop quantum gravity and the cosmological constant
|
10 pages; v2 matches the published version
|
Physics Letters B 672 (2009) 386
|
10.1016/j.physletb.2009.01.046
|
IGC-08/6-5
|
hep-th astro-ph cond-mat.supr-con gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue that the cosmological constant is exponentially suppressed in a
candidate ground state of loop quantum gravity as a nonperturbative effect of a
holographic Fermi-liquid theory living on a two-dimensional spacetime. Ashtekar
connection components, corresponding to degenerate gravitational configurations
breaking large gauge invariance and CP symmetry, behave as composite fermions
that condense as in Bardeen-Cooper-Schrieffer theory of superconductivity.
Cooper pairs admit a description as wormholes on a de Sitter boundary.
|
[
{
"created": "Thu, 26 Jun 2008 22:05:51 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Feb 2009 19:38:59 GMT",
"version": "v2"
}
] |
2009-02-23
|
[
[
"Alexander",
"Stephon H. S.",
""
],
[
"Calcagni",
"Gianluca",
""
]
] |
We argue that the cosmological constant is exponentially suppressed in a candidate ground state of loop quantum gravity as a nonperturbative effect of a holographic Fermi-liquid theory living on a two-dimensional spacetime. Ashtekar connection components, corresponding to degenerate gravitational configurations breaking large gauge invariance and CP symmetry, behave as composite fermions that condense as in Bardeen-Cooper-Schrieffer theory of superconductivity. Cooper pairs admit a description as wormholes on a de Sitter boundary.
|
1807.07704
|
Jian-Pin Wu
|
Zhenhua Zhou, Jian-Pin Wu and Yi Ling
|
Holography of electrically and magnetically charged black branes
|
24 pages,2 figures
|
Eur.Phys.J. C79 (2019) no.3, 195
|
10.1140/epjc/s10052-019-6705-8
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a new class of black brane solutions in Einstein-Maxwell-dilaton
(EMD) theory, which is characterized by two parameters $a,b$. Based on the
obtained solutions, we make detailed analysis on the ground state in zero
temperature limit and find that for many cases it exhibits the behavior of
vanishing entropy density. We also find that the linear-T resistivity can be
realized in a large region of temperature for the specific case of $a^2=1/3$,
which is the Gubser-Rocha model dual to a ground state with vanishing entropy
density. Moreover, for $a=1$ we analytically construct the black brane which is
magnetically charged by virtue of the electric-magnetic (EM) duality. Various
transport coefficients are calculated and their temperature dependence are
obtained in the high temperature region.
|
[
{
"created": "Fri, 20 Jul 2018 03:37:27 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Aug 2018 02:27:44 GMT",
"version": "v2"
},
{
"created": "Tue, 12 Mar 2019 05:28:38 GMT",
"version": "v3"
}
] |
2019-03-13
|
[
[
"Zhou",
"Zhenhua",
""
],
[
"Wu",
"Jian-Pin",
""
],
[
"Ling",
"Yi",
""
]
] |
We construct a new class of black brane solutions in Einstein-Maxwell-dilaton (EMD) theory, which is characterized by two parameters $a,b$. Based on the obtained solutions, we make detailed analysis on the ground state in zero temperature limit and find that for many cases it exhibits the behavior of vanishing entropy density. We also find that the linear-T resistivity can be realized in a large region of temperature for the specific case of $a^2=1/3$, which is the Gubser-Rocha model dual to a ground state with vanishing entropy density. Moreover, for $a=1$ we analytically construct the black brane which is magnetically charged by virtue of the electric-magnetic (EM) duality. Various transport coefficients are calculated and their temperature dependence are obtained in the high temperature region.
|
hep-th/0307133
|
Takehisa Fujita
|
T. Fujita, T. Kobayashi, M. Hiramoto, H. Takahashi
|
Non-equivalence between Heisenberg XXZ spin chain and Thirring model
|
10 pages. 2figures
|
Eur.Phys.J. C39 (2005) 511-518
|
10.1140/epjc/s2004-02093-x
| null |
hep-th
| null |
The Bethe ansatz equations for the spin 1/2 Heisenberg XXZ spin chain are
numerically solved, and the energy eigenvalues are determined for the
anti-ferromagnetic case. We examine the relation between the XXZ spin chain and
the Thirring model, and show that the spectrum of the XXZ spin chain is
different from that of the regularized Thirring model.
|
[
{
"created": "Tue, 15 Jul 2003 09:35:11 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Fujita",
"T.",
""
],
[
"Kobayashi",
"T.",
""
],
[
"Hiramoto",
"M.",
""
],
[
"Takahashi",
"H.",
""
]
] |
The Bethe ansatz equations for the spin 1/2 Heisenberg XXZ spin chain are numerically solved, and the energy eigenvalues are determined for the anti-ferromagnetic case. We examine the relation between the XXZ spin chain and the Thirring model, and show that the spectrum of the XXZ spin chain is different from that of the regularized Thirring model.
|
hep-th/9408103
|
Modanese
|
Giovanni Modanese (Max-Planck-Institut fuer Physik,
Werner-Heisenberg-Institut, Muenchen.)
|
Potential energy in quantum gravity
|
12 pages, LaTex, report MPI-PhT/94-53, August 1994
|
Nucl.Phys. B434 (1995) 697-708
|
10.1016/0550-3213(94)00489-2
| null |
hep-th
| null |
We give a general expression for the static potential energy of the
gravitational interaction of two massive particles, in terms of an invariant
vacuum expectation value of the quantized gravitational field. This formula
holds for functional integral formulations of euclidean quantum gravity,
regularized to avoid conformal instability. It could be regarded as the
analogue of the Wilson loop of gauge theories and allows in principle, through
numerical lattice simulations or other approximation techniques, non
perturbative evaluations of the potential or of the effective coupling
constant.
|
[
{
"created": "Thu, 18 Aug 1994 13:17:55 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Modanese",
"Giovanni",
"",
"Max-Planck-Institut fuer Physik,\n Werner-Heisenberg-Institut, Muenchen."
]
] |
We give a general expression for the static potential energy of the gravitational interaction of two massive particles, in terms of an invariant vacuum expectation value of the quantized gravitational field. This formula holds for functional integral formulations of euclidean quantum gravity, regularized to avoid conformal instability. It could be regarded as the analogue of the Wilson loop of gauge theories and allows in principle, through numerical lattice simulations or other approximation techniques, non perturbative evaluations of the potential or of the effective coupling constant.
|
2206.15401
|
Clay C\'ordova
|
T. Daniel Brennan, Clay Cordova, Thomas T. Dumitrescu
|
Line Defect Quantum Numbers & Anomalies
|
46 pages
| null | null | null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the connection between the global symmetry quantum numbers of line
defects and 't Hooft anomalies. Relative to local (point) operators, line
defects may transform projectively under both internal and spacetime
symmetries. This phenomenon is known as symmetry fractionalization, and in
general it signals the presence of certain discrete 't Hooft anomalies. We
describe this in detail in the context of free Maxwell theory in four
dimensions. This understanding allows us to deduce the 't Hooft anomalies of
non-Abelian gauge theories with renormalization group flows into Maxwell theory
by analyzing the fractional quantum numbers of dynamical magnetic monopoles. We
illustrate this method in $SU(2)$ gauge theories with matter fermions in
diverse representations of the gauge group. For adjoint matter, we uncover a
mixed anomaly involving the 0-form and 1-form symmetries, extending previous
results. For $SU(2)$ QCD with fundamental fermions, the 't Hooft anomaly for
the 0-form symmetries that is encoded by the fractionalization patterns of
lines in the Maxwell phase is a consequence of the familiar perturbative
(triangle) anomaly.
|
[
{
"created": "Thu, 30 Jun 2022 16:42:53 GMT",
"version": "v1"
}
] |
2022-07-01
|
[
[
"Brennan",
"T. Daniel",
""
],
[
"Cordova",
"Clay",
""
],
[
"Dumitrescu",
"Thomas T.",
""
]
] |
We explore the connection between the global symmetry quantum numbers of line defects and 't Hooft anomalies. Relative to local (point) operators, line defects may transform projectively under both internal and spacetime symmetries. This phenomenon is known as symmetry fractionalization, and in general it signals the presence of certain discrete 't Hooft anomalies. We describe this in detail in the context of free Maxwell theory in four dimensions. This understanding allows us to deduce the 't Hooft anomalies of non-Abelian gauge theories with renormalization group flows into Maxwell theory by analyzing the fractional quantum numbers of dynamical magnetic monopoles. We illustrate this method in $SU(2)$ gauge theories with matter fermions in diverse representations of the gauge group. For adjoint matter, we uncover a mixed anomaly involving the 0-form and 1-form symmetries, extending previous results. For $SU(2)$ QCD with fundamental fermions, the 't Hooft anomaly for the 0-form symmetries that is encoded by the fractionalization patterns of lines in the Maxwell phase is a consequence of the familiar perturbative (triangle) anomaly.
|
hep-th/0610070
|
Thomas Quella
|
Gerhard Gotz, Thomas Quella, Volker Schomerus
|
The WZNW model on PSU(1,1|2)
|
59 pages, 2 figures, v2: a couple of typos corrected, in particular
above eq. (2.26) the labels of the representations which decouple. The
modifications have no affect on any of the formulas
|
JHEP 0703:003,2007
|
10.1088/1126-6708/2007/03/003
|
DESY 06-147, KCL-MTH-06-09, SPhT-T06/049
|
hep-th cond-mat.mes-hall math-ph math.MP math.QA
| null |
According to the work of Berkovits, Vafa and Witten (hep-th/9902098), the
non-linear sigma model on the supergroup PSU(1,1|2) is the essential building
block for string theory on AdS(3)xS(3)xT(4). Models associated with a
non-vanishing value of the RR flux can be obtained through a psu(1,1|2)
invariant marginal deformation of the WZNW model on PSU(1,1|2). We take this as
a motivation to present a manifestly psu(1,1|2) covariant construction of the
model at the Wess-Zumino point, corresponding to a purely NSNS background
3-form flux. At this point the model possesses an enhanced psu(1,1|2) current
algebra symmetry whose representation theory, including explicit character
formulas, is developed systematically in the first part of the paper. The space
of vertex operators and a free fermion representation for their correlation
functions is our main subject in the second part. Contrary to a widespread
claim, bosonic and fermionic fields are necessarily coupled to each other. The
interaction changes the supersymmetry transformations, with drastic
consequences for the multiplets of localized normalizable states in the model.
It is only this fact which allows us to decompose the full state space into
multiplets of the global supersymmetry. We analyze these decompositions
systematically as a preparation for a forthcoming study of the RR deformation.
|
[
{
"created": "Thu, 5 Oct 2006 19:42:13 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Mar 2007 16:21:55 GMT",
"version": "v2"
}
] |
2010-10-27
|
[
[
"Gotz",
"Gerhard",
""
],
[
"Quella",
"Thomas",
""
],
[
"Schomerus",
"Volker",
""
]
] |
According to the work of Berkovits, Vafa and Witten (hep-th/9902098), the non-linear sigma model on the supergroup PSU(1,1|2) is the essential building block for string theory on AdS(3)xS(3)xT(4). Models associated with a non-vanishing value of the RR flux can be obtained through a psu(1,1|2) invariant marginal deformation of the WZNW model on PSU(1,1|2). We take this as a motivation to present a manifestly psu(1,1|2) covariant construction of the model at the Wess-Zumino point, corresponding to a purely NSNS background 3-form flux. At this point the model possesses an enhanced psu(1,1|2) current algebra symmetry whose representation theory, including explicit character formulas, is developed systematically in the first part of the paper. The space of vertex operators and a free fermion representation for their correlation functions is our main subject in the second part. Contrary to a widespread claim, bosonic and fermionic fields are necessarily coupled to each other. The interaction changes the supersymmetry transformations, with drastic consequences for the multiplets of localized normalizable states in the model. It is only this fact which allows us to decompose the full state space into multiplets of the global supersymmetry. We analyze these decompositions systematically as a preparation for a forthcoming study of the RR deformation.
|
2311.00679
|
Gabriele Tartaglino-Mazzucchelli
|
Gregory Gold, Jessica Hutomo, Saurish Khandelwal, Gabriele
Tartaglino-Mazzucchelli
|
Components of curvature-squared invariants of minimal supergravity in
five dimensions
|
99 pages of manuscript + 228 pages of supplementary file
| null | null | null |
hep-th gr-qc math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We present for the first time the component structure of the supersymmetric
completions for all curvature-squared invariants of five-dimensional, off-shell
(gauged) minimal supergravity, including all fermions. This is achieved by
using an interplay between superspace and superconformal tensor calculus
techniques, and by employing results from arXiv:1410.8682 and arXiv:2302.14295.
Our analysis is based on using a standard Weyl multiplet of conformal
supergravity coupled to a vector and a linear multiplet compensator to engineer
off-shell Poincar\'e supergravity. We compute all the descendants of the
composite linear multiplets that describe gauged supergravity together with the
three independent four-derivative invariants. These are the building blocks of
the locally superconformal invariant actions. A derivation of the primary
equations of motion for minimal gauged off-shell supergravity deformed by an
arbitrary combination of these three locally superconformal invariants, is then
provided. Finally, all the covariant descendants in the multiplets of equations
of motion are obtained by applying a series of $Q$-supersymmetry
transformations, equivalent to successively applying superspace spinor
derivatives to the primary equations of motion.
|
[
{
"created": "Wed, 1 Nov 2023 17:41:55 GMT",
"version": "v1"
}
] |
2023-11-02
|
[
[
"Gold",
"Gregory",
""
],
[
"Hutomo",
"Jessica",
""
],
[
"Khandelwal",
"Saurish",
""
],
[
"Tartaglino-Mazzucchelli",
"Gabriele",
""
]
] |
We present for the first time the component structure of the supersymmetric completions for all curvature-squared invariants of five-dimensional, off-shell (gauged) minimal supergravity, including all fermions. This is achieved by using an interplay between superspace and superconformal tensor calculus techniques, and by employing results from arXiv:1410.8682 and arXiv:2302.14295. Our analysis is based on using a standard Weyl multiplet of conformal supergravity coupled to a vector and a linear multiplet compensator to engineer off-shell Poincar\'e supergravity. We compute all the descendants of the composite linear multiplets that describe gauged supergravity together with the three independent four-derivative invariants. These are the building blocks of the locally superconformal invariant actions. A derivation of the primary equations of motion for minimal gauged off-shell supergravity deformed by an arbitrary combination of these three locally superconformal invariants, is then provided. Finally, all the covariant descendants in the multiplets of equations of motion are obtained by applying a series of $Q$-supersymmetry transformations, equivalent to successively applying superspace spinor derivatives to the primary equations of motion.
|
0902.1681
|
Wellington Galleas
|
W. Galleas
|
The Bethe Ansatz Equations for Reflecting Magnons
|
23 pages; v2: corrected typos, corrected factors in equations,
section 5 extended, added references. Accepted for publication in NPB
|
Nucl.Phys.B820:664-681,2009
|
10.1016/j.nuclphysb.2009.04.024
|
AEI - 2009 - 012
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the Bethe Ansatz Equations on the half line for particles
interacting through factorized $S$-matrices invariant relative to the centrally
extended $su(2|2)$ Lie superalgebra and $su(1|2)$ open boundaries. These
equations may be of relevance for the study of the spectrum of open strings on
$AdS_{5} \times S^5$ background attached to Y=0 giant graviton branes. An
one-dimensional spin chain hamiltonian associated to this system is also
derived.
|
[
{
"created": "Tue, 10 Feb 2009 15:55:23 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Apr 2009 18:52:05 GMT",
"version": "v2"
}
] |
2009-08-03
|
[
[
"Galleas",
"W.",
""
]
] |
We derive the Bethe Ansatz Equations on the half line for particles interacting through factorized $S$-matrices invariant relative to the centrally extended $su(2|2)$ Lie superalgebra and $su(1|2)$ open boundaries. These equations may be of relevance for the study of the spectrum of open strings on $AdS_{5} \times S^5$ background attached to Y=0 giant graviton branes. An one-dimensional spin chain hamiltonian associated to this system is also derived.
|
1507.06488
|
Shesansu Sekhar Pal
|
Shesansu Sekhar Pal, Sudhakar Panda
|
Entanglement Temperature With Gauss-Bonnet Term
|
1+15 pages, v2: References added
|
Nucl.Phys. B898 (2015) 401-414
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the entanglement temperature using the first law-like of
thermodynamics, $\Delta E=T_{ent} \Delta S_{EE}$, up to Gauss-Bonnet term in
the Jacobson-Myers entropy functional in any arbitrary spacetime dimension. The
computation is done when the entangling region is the geometry of a slab. We
also show that such a Gauss-Bonnet term, which becomes a total derivative, when
the co-dimension two hypersurface is four dimensional, does not contribute to
the finite term in the entanglement entropy. We observe that the Weyl-squared
term does not contribute to the entanglement entropy. It is important to note
that the calculations are performed when the entangling region is very small
and the energy is calculated using the normal Hamiltonian.
|
[
{
"created": "Thu, 23 Jul 2015 13:25:38 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Jul 2015 13:03:34 GMT",
"version": "v2"
}
] |
2015-07-31
|
[
[
"Pal",
"Shesansu Sekhar",
""
],
[
"Panda",
"Sudhakar",
""
]
] |
We compute the entanglement temperature using the first law-like of thermodynamics, $\Delta E=T_{ent} \Delta S_{EE}$, up to Gauss-Bonnet term in the Jacobson-Myers entropy functional in any arbitrary spacetime dimension. The computation is done when the entangling region is the geometry of a slab. We also show that such a Gauss-Bonnet term, which becomes a total derivative, when the co-dimension two hypersurface is four dimensional, does not contribute to the finite term in the entanglement entropy. We observe that the Weyl-squared term does not contribute to the entanglement entropy. It is important to note that the calculations are performed when the entangling region is very small and the energy is calculated using the normal Hamiltonian.
|
1903.02870
|
Ivo Sachs
|
Ivo Sachs
|
Homotopy Algebras in String Field Theory
|
4 pages, Contribution to Proceedings of LMS/EPSRC Durham Symposium
Higher Structures in M-Theory, August 2018
| null |
10.1002/prop.201910013
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Homotopy algebra and its involutive generalisation plays an important role in
the construction of string field theory. I will review recent progress in these
applications of homotopy algebra and its relation to moduli spaces.
|
[
{
"created": "Thu, 7 Mar 2019 12:24:28 GMT",
"version": "v1"
}
] |
2021-07-28
|
[
[
"Sachs",
"Ivo",
""
]
] |
Homotopy algebra and its involutive generalisation plays an important role in the construction of string field theory. I will review recent progress in these applications of homotopy algebra and its relation to moduli spaces.
|
2404.16601
|
Meseret Asrat Demis\=e
|
Meseret Asrat
|
Rotating strings and anomalous dimensions in Non-AdS holography
|
39 pages, 7 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper we consider certain rigidly rotating closed string
configurations in an asymptotically non-AdS string background. The string
background is a deformation of $AdS_3 \times {\cal M}_7$. It interpolates
between $AdS_3 $ and asymptotically linear dilaton ${\rm I\!R} \times S^1
\times {\rm I\!R}$ spacetime (times the internal compact manifold ${\cal
M}_7$). We compute the quantity $E - J$ (in the large $J$ limit) where $E$ is
the energy and $J$ is the angular momentum of the spinning strings. In the two
dimensional CFT dual to string theory on $AdS_3$ (times ${\cal M}_7$) it gives
the anomalous dimensions of certain twist two and higher operators. We show in
the deformed background that $E - J$ is bounded. At a special value of the
deformation coupling we also show that for spinning closed strings containing
$n > 2$ cusps or spikes both $E$ and $J$ are bounded. In the CFT dual to string
theory on $AdS_3$ (times ${\cal M}_7$) the spinning cusped strings describe
operators with twist $n$ larger than two. In general, at other values of the
deformation coupling, we demonstrate that this feature is exhibited only by
those cusped strings with $n > n_0$ where $n_0$ is determined only by the
deformation coupling. We also give simple exact Regge relations between $E$ and
$J$. We also study the closely related cusp anomalous dimension of a light-like
Wilson loop. We comment on what $E - J$ measures away from the CFT along the
deformation in the coupling space. In the long string sector the deformation is
dual to a single trace $T{\bar T}$ deformed orbifold theory. We determine the
associated deformed sinh-Gordon model that classically describes the (long)
strings near the boundary. This provides an example of single trace $T{\bar T}$
deformation in non-orbifold theories.
|
[
{
"created": "Thu, 25 Apr 2024 13:39:15 GMT",
"version": "v1"
}
] |
2024-04-26
|
[
[
"Asrat",
"Meseret",
""
]
] |
In this paper we consider certain rigidly rotating closed string configurations in an asymptotically non-AdS string background. The string background is a deformation of $AdS_3 \times {\cal M}_7$. It interpolates between $AdS_3 $ and asymptotically linear dilaton ${\rm I\!R} \times S^1 \times {\rm I\!R}$ spacetime (times the internal compact manifold ${\cal M}_7$). We compute the quantity $E - J$ (in the large $J$ limit) where $E$ is the energy and $J$ is the angular momentum of the spinning strings. In the two dimensional CFT dual to string theory on $AdS_3$ (times ${\cal M}_7$) it gives the anomalous dimensions of certain twist two and higher operators. We show in the deformed background that $E - J$ is bounded. At a special value of the deformation coupling we also show that for spinning closed strings containing $n > 2$ cusps or spikes both $E$ and $J$ are bounded. In the CFT dual to string theory on $AdS_3$ (times ${\cal M}_7$) the spinning cusped strings describe operators with twist $n$ larger than two. In general, at other values of the deformation coupling, we demonstrate that this feature is exhibited only by those cusped strings with $n > n_0$ where $n_0$ is determined only by the deformation coupling. We also give simple exact Regge relations between $E$ and $J$. We also study the closely related cusp anomalous dimension of a light-like Wilson loop. We comment on what $E - J$ measures away from the CFT along the deformation in the coupling space. In the long string sector the deformation is dual to a single trace $T{\bar T}$ deformed orbifold theory. We determine the associated deformed sinh-Gordon model that classically describes the (long) strings near the boundary. This provides an example of single trace $T{\bar T}$ deformation in non-orbifold theories.
|
0709.3254
|
Barak Kol
|
Barak Kol
|
Higher Order Perturbations Around Backgrounds with One Non-Homogeneous
Dimension
|
10 pages, 1 figure. This paper is not intended to be submitted to a
refereed journal as explained at the end of the introduction
| null | null | null |
hep-th gr-qc
| null |
It is shown that perturbations around backgrounds with one non-homogeneous
dimension, namely of co-homogeneity 1, can be canonically simplified, a
property that is shown to hold to any order in perturbation theory. Recalling
that the problem naturally reduces to 1d, a procedure is described whereby for
each gauge function in 1d two 1d fields are eliminated from the action - one is
gauge and can be eliminated without a constraint and the other is auxiliary.
These results generalize the results of hep-th/0609001 from linear to
non-linear perturbations and they unify two cases of physical interest:
cosmological perturbations and perturbations to static spherically symmetric
backgrounds. An application to black strings is discussed in some detail.
|
[
{
"created": "Thu, 20 Sep 2007 15:19:35 GMT",
"version": "v1"
}
] |
2007-09-21
|
[
[
"Kol",
"Barak",
""
]
] |
It is shown that perturbations around backgrounds with one non-homogeneous dimension, namely of co-homogeneity 1, can be canonically simplified, a property that is shown to hold to any order in perturbation theory. Recalling that the problem naturally reduces to 1d, a procedure is described whereby for each gauge function in 1d two 1d fields are eliminated from the action - one is gauge and can be eliminated without a constraint and the other is auxiliary. These results generalize the results of hep-th/0609001 from linear to non-linear perturbations and they unify two cases of physical interest: cosmological perturbations and perturbations to static spherically symmetric backgrounds. An application to black strings is discussed in some detail.
|
hep-th/9710159
|
Valeri Dvoeglazov
|
Valeri V. Dvoeglazov (Universidad Autonoma de Zacatecas)
|
The Second-Order Equation from the (1/2,0)+ (0,1/2) Representation of
the Poincare Group
|
6pp. ReVTeX file
|
Int. J. Theor. Phys., v. 37, No. 7 (1998) 1909-1914
| null |
EFUAZ FT-97-49
|
hep-th
| null |
On the basis of the first principles we derive the Barut-Wilson-Fushchich
second-order equation in the (1/2,0)+(0,1/2) representation. Then we discuss
the possibility of the description of various mass and spin states in such a
framework.
|
[
{
"created": "Tue, 21 Oct 1997 01:16:34 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Dvoeglazov",
"Valeri V.",
"",
"Universidad Autonoma de Zacatecas"
]
] |
On the basis of the first principles we derive the Barut-Wilson-Fushchich second-order equation in the (1/2,0)+(0,1/2) representation. Then we discuss the possibility of the description of various mass and spin states in such a framework.
|
2107.09677
|
Bogdan Ganchev
|
Bogdan Ganchev, Anthony Houppe, Nicholas Warner
|
Q-Balls Meet Fuzzballs: Non-BPS Microstate Geometries
|
72 pages, 22 figures, version submitted to journal
| null |
10.1007/JHEP11(2021)028
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a three-parameter family of non-extremal microstate geometries,
or "microstrata," that are dual to states and deformations of the D1-D5 CFT.
These families are non-extremal analogues of superstrata. We find these
microstrata by using a Q-ball-inspired Ansatz that reduces the equations of
motion to solving for eleven functions of one variable. We then solve this
system both perturbatively and numerically and the results match extremely
well. We find that the solutions have normal mode frequencies that depend upon
the amplitudes of the excitations. We also show that, at higher order in
perturbations, some of the solutions, having started with normalizable modes,
develop a "non-normalizable" part, suggesting that the microstrata represent
states in a perturbed form of the D1-D5 CFT. This paper is intended as a "Proof
of Concept" for the Q-ball-inspired approach, and we will describe how it opens
the way to many interesting follow-up calculations both in supergravity and in
the dual holographic field theory.
|
[
{
"created": "Tue, 20 Jul 2021 18:00:01 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Sep 2021 10:05:04 GMT",
"version": "v2"
}
] |
2021-11-09
|
[
[
"Ganchev",
"Bogdan",
""
],
[
"Houppe",
"Anthony",
""
],
[
"Warner",
"Nicholas",
""
]
] |
We construct a three-parameter family of non-extremal microstate geometries, or "microstrata," that are dual to states and deformations of the D1-D5 CFT. These families are non-extremal analogues of superstrata. We find these microstrata by using a Q-ball-inspired Ansatz that reduces the equations of motion to solving for eleven functions of one variable. We then solve this system both perturbatively and numerically and the results match extremely well. We find that the solutions have normal mode frequencies that depend upon the amplitudes of the excitations. We also show that, at higher order in perturbations, some of the solutions, having started with normalizable modes, develop a "non-normalizable" part, suggesting that the microstrata represent states in a perturbed form of the D1-D5 CFT. This paper is intended as a "Proof of Concept" for the Q-ball-inspired approach, and we will describe how it opens the way to many interesting follow-up calculations both in supergravity and in the dual holographic field theory.
|
hep-th/9606034
| null |
M. Awada and F. Mansouri
|
Dimensionless Coupling of Superstrings to Supersymmetric Gauge Theories
and Scale Invariant Superstring Actions
|
9 pages, LaTex
|
Phys.Lett. B387 (1996) 75-79
|
10.1016/0370-2693(96)00991-4
|
UCTP101-Feb/96
|
hep-th
| null |
We construct new superstring actions which are distinguished from standard
superstrings by being space-time scale invariant. Like standard superstrings,
they are also reparametrization invariant, space-time supersymmetric, and
invariant under local scale transformations of the world sheet. We discuss
scenarios in which these actions could play a significant role, in particular
one which involves their coupling to supersymmetric gauge theories.
|
[
{
"created": "Fri, 7 Jun 1996 05:03:31 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Awada",
"M.",
""
],
[
"Mansouri",
"F.",
""
]
] |
We construct new superstring actions which are distinguished from standard superstrings by being space-time scale invariant. Like standard superstrings, they are also reparametrization invariant, space-time supersymmetric, and invariant under local scale transformations of the world sheet. We discuss scenarios in which these actions could play a significant role, in particular one which involves their coupling to supersymmetric gauge theories.
|
hep-th/0201258
|
Tassos Petkou
|
A. C. Petkou
|
Boundary multi-trace deformations and OPEs in AdS/CFT correspondence
|
18 pages, v2 refinements and acknowledgements added
|
JHEP 0206 (2002) 009
|
10.1088/1126-6708/2002/06/009
|
CERN-TH/2002-012
|
hep-th
| null |
We argue that multi-trace deformations of the boundary CFT in AdS/CFT
correspondence can arise through the OPE of single-trace operators. We work out
the example of a scalar field in AdS_5 with cubic self interaction. By an
appropriate reparametrization of the boundary data we are able to deform the
boundary CFT by a marginal operator that couples to the conformal anomaly. Our
method can be used in the analysis of multi-trace deformations in N=4 SYM where
the OPEs of various single-trace operators are known.
|
[
{
"created": "Wed, 30 Jan 2002 20:58:14 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Feb 2002 10:44:53 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Petkou",
"A. C.",
""
]
] |
We argue that multi-trace deformations of the boundary CFT in AdS/CFT correspondence can arise through the OPE of single-trace operators. We work out the example of a scalar field in AdS_5 with cubic self interaction. By an appropriate reparametrization of the boundary data we are able to deform the boundary CFT by a marginal operator that couples to the conformal anomaly. Our method can be used in the analysis of multi-trace deformations in N=4 SYM where the OPEs of various single-trace operators are known.
|
hep-th/0007222
|
Fiorenzo Bastianelli
|
F. Bastianelli, G. Cuoghi, L. Nocetti
|
Consistency conditions and trace anomalies in six dimensions
|
16 pages, LaTeX
|
Class.Quant.Grav. 18 (2001) 793-806
|
10.1088/0264-9381/18/5/303
| null |
hep-th
| null |
Conformally invariant quantum field theories develop trace anomalies when
defined on curved backgrounds. We study again the problem of identifying all
possible trace anomalies in d=6 by studying the consistency conditions to
derive their 10 independent solutions. It is known that only 4 of these
solutions represent true anomalies, classified as one type A anomaly, given by
the topological Euler density, and three type B anomalies, made up by three
independent Weyl invariants. However, we also present the explicit expressions
of the remaining 6 trivial anomalies, namely those that can be obtained by the
Weyl variation of local functionals. The knowledge of the latter is in general
necessary to disentangle the universal coefficients of the type A and B
anomalies from calculations performed on concrete models.
|
[
{
"created": "Thu, 27 Jul 2000 18:05:20 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Bastianelli",
"F.",
""
],
[
"Cuoghi",
"G.",
""
],
[
"Nocetti",
"L.",
""
]
] |
Conformally invariant quantum field theories develop trace anomalies when defined on curved backgrounds. We study again the problem of identifying all possible trace anomalies in d=6 by studying the consistency conditions to derive their 10 independent solutions. It is known that only 4 of these solutions represent true anomalies, classified as one type A anomaly, given by the topological Euler density, and three type B anomalies, made up by three independent Weyl invariants. However, we also present the explicit expressions of the remaining 6 trivial anomalies, namely those that can be obtained by the Weyl variation of local functionals. The knowledge of the latter is in general necessary to disentangle the universal coefficients of the type A and B anomalies from calculations performed on concrete models.
|
1203.3372
|
Georgi Dvali
|
Gia Dvali and Cesar Gomez
|
Landau-Ginzburg Limit of Black Hole's Quantum Portrait: Self Similarity
and Critical Exponent
|
7 pages, latex
| null |
10.1016/j.physletb.2012.08.019
| null |
hep-th cond-mat.supr-con gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently we have suggested that the microscopic quantum description of a
black hole is an overpacked self-sustained Bose-condensate of N
weakly-interacting soft gravitons, which obeys the rules of 't Hooft's large-N
physics. In this note we derive an effective Landau-Ginzburg Lagrangian for the
condensate and show that it becomes an exact description in a semi-classical
limit that serves as the black hole analog of 't Hooft's planar limit. The role
of a weakly-coupled Landau-Ginzburg order parameter is played by N. This
description consistently reproduces the known properties of black holes in
semi-classical limit. Hawking radiation, as the quantum depletion of the
condensate, is described by the slow-roll of the field N. In the semiclassical
limit, where black holes of arbitrarily small size are allowed, the equation of
depletion is self similar leading to a scaling law for the black hole size with
critical exponent 1/3.
|
[
{
"created": "Thu, 15 Mar 2012 14:33:52 GMT",
"version": "v1"
}
] |
2015-06-04
|
[
[
"Dvali",
"Gia",
""
],
[
"Gomez",
"Cesar",
""
]
] |
Recently we have suggested that the microscopic quantum description of a black hole is an overpacked self-sustained Bose-condensate of N weakly-interacting soft gravitons, which obeys the rules of 't Hooft's large-N physics. In this note we derive an effective Landau-Ginzburg Lagrangian for the condensate and show that it becomes an exact description in a semi-classical limit that serves as the black hole analog of 't Hooft's planar limit. The role of a weakly-coupled Landau-Ginzburg order parameter is played by N. This description consistently reproduces the known properties of black holes in semi-classical limit. Hawking radiation, as the quantum depletion of the condensate, is described by the slow-roll of the field N. In the semiclassical limit, where black holes of arbitrarily small size are allowed, the equation of depletion is self similar leading to a scaling law for the black hole size with critical exponent 1/3.
|
1012.0021
|
Kory Stiffler
|
Kory Stiffler
|
A Walk Through Superstring Theory With an Application to Yang-Mills
Theory: K-strings and D-branes as Gauge/Gravity Dual Objects
|
Ph.D. Thesis, The University of Iowa. 131 pages, 23 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Superstring theory is one current, promising attempt at unifying gravity with
the other three known forces: the electromagnetic force, and the weak and
strong nuclear forces. Though this is still a work in progress, much effort has
been put toward this goal. A set of specific tools which are used in this
effort are gauge/gravity dualities. This thesis consists of a specific
implementation of gauge/gravity dualities to describe k-strings of strongly
coupled gauge theories as objects dual to Dp-branes embedded in confining
supergravity backgrounds from low energy superstring field theory. Along with
superstring theory, k-strings are also commonly investigated with lattice gauge
theory and Hamiltonian methods. A k-string is a colorless combination of
quark-antiquark source pairs, between which a color flux tube develops. The two
most notable terms of the k-string energy are, for large quark anti-quark
separation L, the tension term, proportional to L, and the Coulombic 1/L
correction, known as the Luscher term. This thesis provides an overview of
superstring theories and how gauge/gravity dualities emerge from them. It shows
in detail how these dualities can be used for the specific problem of
calculating the k-string energy in 2 + 1 and 3 + 1 space-time dimensions as the
energy of Dp-branes in the dual gravitational theory. A detailed review of
k-string tension calculations is given where good agreement is found with
lattice gauge theory and Hamiltonian methods. In reviewing the k-string
tension, we also touch on how different representations of k-strings can be
described with Dp-branes through gauge/gravity dualities. The main result of
this thesis is how the Luscher term is found to emerge as the one loop quantum
corrections to the Dp-brane energy. In 2+1 space-time dimensions, we have
Luscher term data to compare with from lattice gauge theory, where we find good
agreement.
|
[
{
"created": "Tue, 30 Nov 2010 21:21:10 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Dec 2010 15:23:53 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Jan 2011 20:36:44 GMT",
"version": "v3"
}
] |
2015-03-17
|
[
[
"Stiffler",
"Kory",
""
]
] |
Superstring theory is one current, promising attempt at unifying gravity with the other three known forces: the electromagnetic force, and the weak and strong nuclear forces. Though this is still a work in progress, much effort has been put toward this goal. A set of specific tools which are used in this effort are gauge/gravity dualities. This thesis consists of a specific implementation of gauge/gravity dualities to describe k-strings of strongly coupled gauge theories as objects dual to Dp-branes embedded in confining supergravity backgrounds from low energy superstring field theory. Along with superstring theory, k-strings are also commonly investigated with lattice gauge theory and Hamiltonian methods. A k-string is a colorless combination of quark-antiquark source pairs, between which a color flux tube develops. The two most notable terms of the k-string energy are, for large quark anti-quark separation L, the tension term, proportional to L, and the Coulombic 1/L correction, known as the Luscher term. This thesis provides an overview of superstring theories and how gauge/gravity dualities emerge from them. It shows in detail how these dualities can be used for the specific problem of calculating the k-string energy in 2 + 1 and 3 + 1 space-time dimensions as the energy of Dp-branes in the dual gravitational theory. A detailed review of k-string tension calculations is given where good agreement is found with lattice gauge theory and Hamiltonian methods. In reviewing the k-string tension, we also touch on how different representations of k-strings can be described with Dp-branes through gauge/gravity dualities. The main result of this thesis is how the Luscher term is found to emerge as the one loop quantum corrections to the Dp-brane energy. In 2+1 space-time dimensions, we have Luscher term data to compare with from lattice gauge theory, where we find good agreement.
|
hep-th/9511184
|
Pashaev Oktay
|
Oktay K.Pashaev
|
The Lax Pair by Dimensional Reduction of Chern-Simons Gauge Theory
|
27 pages, Plain Tex
|
J.Math.Phys. 37 (1996) 4368-4387
|
10.1063/1.531636
|
SISSA Ref. 159/95/EP
|
hep-th
| null |
We show that the Nonlinear Schr\"odinger Equation and the related Lax pair in
1+1 dimensions can be derived from 2+1 dimensional Chern-Simons Topological
Gauge Theory. The spectral parameter, a main object for the Loop algebra
structure and the Inverse Spectral Transform, has appear as a homogeneous part
(condensate) of the statistical gauge field, connected with the compactified
extra space coordinate. In terms of solitons, a natural interpretation for the
one-dimensional analog of Chern-Simons Gauss law is given.
|
[
{
"created": "Sun, 26 Nov 1995 12:15:29 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Pashaev",
"Oktay K.",
""
]
] |
We show that the Nonlinear Schr\"odinger Equation and the related Lax pair in 1+1 dimensions can be derived from 2+1 dimensional Chern-Simons Topological Gauge Theory. The spectral parameter, a main object for the Loop algebra structure and the Inverse Spectral Transform, has appear as a homogeneous part (condensate) of the statistical gauge field, connected with the compactified extra space coordinate. In terms of solitons, a natural interpretation for the one-dimensional analog of Chern-Simons Gauss law is given.
|
hep-th/0403091
|
Yasunari Kurita
|
Yasunari Kurita, Masa-aki Sakagami
|
CFT description of three-dimensional Hawking-Page transition
|
21 pages,14 figures, typos corrected, references removed and added.
final version accepted in Prog.Theor.Phys
|
Prog.Theor.Phys. 113 (2005) 1193-1213
|
10.1143/PTP.113.1193
| null |
hep-th gr-qc
| null |
We construct a phenomenological conformal field theory (CFT) model of the
three-dimensional Hawking-Page transition. We find that free fermion CFT models
on the boundary torus give a description of the three-dimensional Hawking-Page
transition. If modular invariance is respected, the free fermion model implies
that the transition occurs continuously through the conical space phase and the
small black hole phase. On the other hand, if we are allowed to break modular
invariance, we can construct a free fermion model that reproduces the usual
Euclidean semi-classical result, and in particular exhibits a first-order phase
transition.
|
[
{
"created": "Mon, 8 Mar 2004 16:38:53 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Mar 2005 09:58:32 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Jun 2005 05:38:34 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Kurita",
"Yasunari",
""
],
[
"Sakagami",
"Masa-aki",
""
]
] |
We construct a phenomenological conformal field theory (CFT) model of the three-dimensional Hawking-Page transition. We find that free fermion CFT models on the boundary torus give a description of the three-dimensional Hawking-Page transition. If modular invariance is respected, the free fermion model implies that the transition occurs continuously through the conical space phase and the small black hole phase. On the other hand, if we are allowed to break modular invariance, we can construct a free fermion model that reproduces the usual Euclidean semi-classical result, and in particular exhibits a first-order phase transition.
|
1905.03549
|
Horatiu Stefan Nastase
|
Luis Alejo and Horatiu Nastase
|
Particle-vortex duality and theta terms in AdS/CMT applications
|
39 pages, no figures; references added
| null |
10.1007/JHEP08(2019)095
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study particle-vortex duality and the effect of theta terms
from the point of view of AdS/CMT constructions. We can construct the duality
in 2+1 dimensional field theories with or without a Chern-Simons term, and
derive an effect on conductivities, when the action is viewed as a response
action. We can find its effect on 3+1 dimensional theories, with or without a
theta term, coupled to gravity in asymptotically AdS space, and derive the
resulting effect on conductivities defined in the spirit of AdS/CFT. AdS/CFT
then relates the 2+1 dimensional and the 3+1 dimensional cases naturally.
Quantum gravity corrections, as well as more general effective actions for the
abelian vector, can be treated similarly. We can use the fluid/gravity
correspondence, and the membrane paradigm, to define shear and bulk viscosities
$\eta$ and $\zeta$ for a gravity plus abelian vector plus scalar system near a
black hole, and define the effect of the S-duality on it.
|
[
{
"created": "Thu, 9 May 2019 11:44:25 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jun 2019 19:28:53 GMT",
"version": "v2"
}
] |
2019-09-04
|
[
[
"Alejo",
"Luis",
""
],
[
"Nastase",
"Horatiu",
""
]
] |
In this paper we study particle-vortex duality and the effect of theta terms from the point of view of AdS/CMT constructions. We can construct the duality in 2+1 dimensional field theories with or without a Chern-Simons term, and derive an effect on conductivities, when the action is viewed as a response action. We can find its effect on 3+1 dimensional theories, with or without a theta term, coupled to gravity in asymptotically AdS space, and derive the resulting effect on conductivities defined in the spirit of AdS/CFT. AdS/CFT then relates the 2+1 dimensional and the 3+1 dimensional cases naturally. Quantum gravity corrections, as well as more general effective actions for the abelian vector, can be treated similarly. We can use the fluid/gravity correspondence, and the membrane paradigm, to define shear and bulk viscosities $\eta$ and $\zeta$ for a gravity plus abelian vector plus scalar system near a black hole, and define the effect of the S-duality on it.
|
hep-th/9603050
| null |
A. Dasnieres de Veigy
|
On the solution of the Calogero model and its generalization to the case
of distinguishable particles
|
8 pages
| null | null |
IPNO/TH 96-11
|
hep-th
| null |
The 3-body Calogero problem is solved by separation of variables for
arbitrary exchange statistics. A numerical computation of the 4-body spectrum
is also presented. The results display new features in comparison with the
standard case of bosons and fermions, for instance the energies are not linear
with the interaction parameter $\nu$ and Bethe ansatz as well as Haldane's
statistics are not verified.
|
[
{
"created": "Fri, 8 Mar 1996 18:09:25 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"de Veigy",
"A. Dasnieres",
""
]
] |
The 3-body Calogero problem is solved by separation of variables for arbitrary exchange statistics. A numerical computation of the 4-body spectrum is also presented. The results display new features in comparison with the standard case of bosons and fermions, for instance the energies are not linear with the interaction parameter $\nu$ and Bethe ansatz as well as Haldane's statistics are not verified.
|
1511.05395
|
Sheng-Lan Ko
|
Sheng-Lan Ko and Pichet Vanichchapongjaroen
|
Towards 2+4 formulation of M5-brane
|
27 pages, no figure
| null |
10.1007/JHEP12(2015)170
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present an attempt to formulate an action for the worldvolume theory of a
single M5-brane, based on the splitting of the six worldvolume directions into
2+4, which breaks manifest Lorentz invariance from $SO(1,5)$ to $SO(1,1)\times
SO(4)$. To this end, an action for the free six--dimensional (2,0) chiral
tensor multiplet, and separately, a nonlinearly interacting chiral 2-form
action are constructed. By studying the Lagrangian formulation for the chiral
2-form with 2+4 splitting, it is suggested that, if exists, the modified
diffeomorphism of the theory on curved six--dimensional space--time is less
trivial than its 1+5 and 3+3 counterpart, thus hindering the coupling of the
chiral 2-form to the induced metric on the worldvolume of the M5-brane. We
discuss difficulties of further generalisation of the theory. Finally, in terms
of Hamiltonian analysis, we show that the naively gauge-fixed
failed-PST-covariantised Lagrangian has the correct number of degrees of
freedom, and satisfies the hyper--surface deformation algebra.
|
[
{
"created": "Tue, 17 Nov 2015 13:36:36 GMT",
"version": "v1"
}
] |
2016-01-27
|
[
[
"Ko",
"Sheng-Lan",
""
],
[
"Vanichchapongjaroen",
"Pichet",
""
]
] |
We present an attempt to formulate an action for the worldvolume theory of a single M5-brane, based on the splitting of the six worldvolume directions into 2+4, which breaks manifest Lorentz invariance from $SO(1,5)$ to $SO(1,1)\times SO(4)$. To this end, an action for the free six--dimensional (2,0) chiral tensor multiplet, and separately, a nonlinearly interacting chiral 2-form action are constructed. By studying the Lagrangian formulation for the chiral 2-form with 2+4 splitting, it is suggested that, if exists, the modified diffeomorphism of the theory on curved six--dimensional space--time is less trivial than its 1+5 and 3+3 counterpart, thus hindering the coupling of the chiral 2-form to the induced metric on the worldvolume of the M5-brane. We discuss difficulties of further generalisation of the theory. Finally, in terms of Hamiltonian analysis, we show that the naively gauge-fixed failed-PST-covariantised Lagrangian has the correct number of degrees of freedom, and satisfies the hyper--surface deformation algebra.
|
2011.06573
|
Junyu Liu
|
Hrant Gharibyan, Masanori Hanada, Masazumi Honda, Junyu Liu
|
Toward simulating Superstring/M-theory on a quantum computer
|
68 pages; v2: minor corrections
|
JHEP 2107 (2021) 140
|
10.1007/JHEP07(2021)140
|
CALT-TH-2020-013, DMUS-MP-20/10, YITP-20-146
|
hep-th hep-lat quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We present a novel framework for simulating matrix models on a quantum
computer. Supersymmetric matrix models have natural applications to
superstring/M-theory and gravitational physics, in an appropriate limit of
parameters. Furthermore, for certain states in the Berenstein-Maldacena-Nastase
(BMN) matrix model, several supersymmetric quantum field theories dual to
superstring/M-theory can be realized on a quantum device. Our prescription
consists of four steps: regularization of the Hilbert space, adiabatic state
preparation, simulation of real-time dynamics, and measurements. Regularization
is performed for the BMN matrix model with the introduction of energy cut-off
via the truncation in the Fock space. We use the Wan-Kim algorithm for fast
digital adiabatic state preparation to prepare the low-energy eigenstates of
this model as well as thermofield double state. Then, we provide an explicit
construction for simulating real-time dynamics utilizing techniques of
block-encoding, qubitization, and quantum signal processing. Lastly, we present
a set of measurements and experiments that can be carried out on a quantum
computer to further our understanding of superstring/M-theory beyond analytic
results.
|
[
{
"created": "Thu, 12 Nov 2020 18:45:10 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Jul 2021 23:54:09 GMT",
"version": "v2"
}
] |
2021-07-23
|
[
[
"Gharibyan",
"Hrant",
""
],
[
"Hanada",
"Masanori",
""
],
[
"Honda",
"Masazumi",
""
],
[
"Liu",
"Junyu",
""
]
] |
We present a novel framework for simulating matrix models on a quantum computer. Supersymmetric matrix models have natural applications to superstring/M-theory and gravitational physics, in an appropriate limit of parameters. Furthermore, for certain states in the Berenstein-Maldacena-Nastase (BMN) matrix model, several supersymmetric quantum field theories dual to superstring/M-theory can be realized on a quantum device. Our prescription consists of four steps: regularization of the Hilbert space, adiabatic state preparation, simulation of real-time dynamics, and measurements. Regularization is performed for the BMN matrix model with the introduction of energy cut-off via the truncation in the Fock space. We use the Wan-Kim algorithm for fast digital adiabatic state preparation to prepare the low-energy eigenstates of this model as well as thermofield double state. Then, we provide an explicit construction for simulating real-time dynamics utilizing techniques of block-encoding, qubitization, and quantum signal processing. Lastly, we present a set of measurements and experiments that can be carried out on a quantum computer to further our understanding of superstring/M-theory beyond analytic results.
|
hep-th/9611222
|
Stefan Theisen
|
O. Aharony, C. Sonnenschein, S. Yankielowicz, S. Theisen
|
Field Theory Questions for String Theory Answers
|
havmac, 24 pages, no figures; revised version; we have corrected the
discussion concerning the relationship between the orientifolds and the
F-theory compactification. Version to be published in Nucl. Phys. B
|
Nucl.Phys.B493:177-197,1997
|
10.1016/S0550-3213(97)00104-1
|
RU-96-105, TAUP-2397-96, LMU-TPW-96-33, CERN-TH/96-33
|
hep-th
| null |
We discuss the field theory of 3-brane probes in F-theory compactifications
in two configurations, generalizing the work of Sen and of Banks, Douglas and
Seiberg. One configuration involves several parallel 3-brane probes in F-theory
compactified on $T^4/Z_2$, while the other involves a compactification of
F-theory on $T^6/Z_2 x Z_2$ (which includes intersecting $D_4$ singularities).
In both cases string theory provides simple pictures of the spacetime theory,
whose implications for the three-brane world-volume theories are discussed. In
the second case the field theory on the probe is an unusual N=1 superconformal
theory, with exact electric-magnetic duality. Several open questions remain
concerning the description of this theory.
|
[
{
"created": "Tue, 26 Nov 1996 16:06:59 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Dec 1996 22:50:24 GMT",
"version": "v2"
},
{
"created": "Sun, 8 Dec 1996 17:19:56 GMT",
"version": "v3"
},
{
"created": "Sat, 1 Mar 1997 17:23:59 GMT",
"version": "v4"
}
] |
2016-09-06
|
[
[
"Aharony",
"O.",
""
],
[
"Sonnenschein",
"C.",
""
],
[
"Yankielowicz",
"S.",
""
],
[
"Theisen",
"S.",
""
]
] |
We discuss the field theory of 3-brane probes in F-theory compactifications in two configurations, generalizing the work of Sen and of Banks, Douglas and Seiberg. One configuration involves several parallel 3-brane probes in F-theory compactified on $T^4/Z_2$, while the other involves a compactification of F-theory on $T^6/Z_2 x Z_2$ (which includes intersecting $D_4$ singularities). In both cases string theory provides simple pictures of the spacetime theory, whose implications for the three-brane world-volume theories are discussed. In the second case the field theory on the probe is an unusual N=1 superconformal theory, with exact electric-magnetic duality. Several open questions remain concerning the description of this theory.
|
0807.2146
|
Kai Schwenzer
|
Selym Villalba-Chavez, Reinhard Alkofer and Kai Schwenzer
|
On the connection between Hamilton and Lagrange formalism in Quantum
Field Theory
|
25 pages, 24 figures, revised and extended version with an explicit
application of the formalism to Coulomb gauge QCD
|
J.Phys.G37:085003,2010
|
10.1088/0954-3899/37/8/085003
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The connection between the Hamilton and the standard Lagrange formalism is
established for a generic Quantum Field Theory with vanishing vacuum
expectation values of the fundamental fields. The Effective Actions in both
formalisms are the same if and only if the fundamental fields and the momentum
fields are related by the stationarity condition. These momentum fields in
general differ from the canonical fields as defined via the Effective Action.
By means of functional methods a systematic procedure is presented to identify
the full correlation functions, which depend on the momentum fields, as
functionals of those usually appearing in the standard Lagrange formalism.
Whereas Lagrange correlation functions can be decomposed into tree diagrams the
decomposition of Hamilton correlation functions involves loop corrections
similar to those arising in n-particle effective actions. To demonstrate the
method we derive for theories with linearized interactions the propagators of
composite auxiliary fields and the ones of the fundamental degrees of freedom.
The formalism is then utilized in the case of Coulomb gauge Yang-Mills theory
for which the relations between the two-point correlation functions of the
transversal and longitudinal components of the conjugate momentum to the ones
of the gauge field are given.
|
[
{
"created": "Mon, 14 Jul 2008 12:46:45 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Sep 2009 16:10:42 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Villalba-Chavez",
"Selym",
""
],
[
"Alkofer",
"Reinhard",
""
],
[
"Schwenzer",
"Kai",
""
]
] |
The connection between the Hamilton and the standard Lagrange formalism is established for a generic Quantum Field Theory with vanishing vacuum expectation values of the fundamental fields. The Effective Actions in both formalisms are the same if and only if the fundamental fields and the momentum fields are related by the stationarity condition. These momentum fields in general differ from the canonical fields as defined via the Effective Action. By means of functional methods a systematic procedure is presented to identify the full correlation functions, which depend on the momentum fields, as functionals of those usually appearing in the standard Lagrange formalism. Whereas Lagrange correlation functions can be decomposed into tree diagrams the decomposition of Hamilton correlation functions involves loop corrections similar to those arising in n-particle effective actions. To demonstrate the method we derive for theories with linearized interactions the propagators of composite auxiliary fields and the ones of the fundamental degrees of freedom. The formalism is then utilized in the case of Coulomb gauge Yang-Mills theory for which the relations between the two-point correlation functions of the transversal and longitudinal components of the conjugate momentum to the ones of the gauge field are given.
|
1801.10366
|
Elizabeth Winstanley
|
Victor E. Ambrus, Carl Kent and Elizabeth Winstanley
|
Analysis of scalar and fermion quantum field theory on anti-de Sitter
space-time
|
30 pages, 10 figures, minor changes, to appear in the Proceedings of
the Fourth Amazonian Symposium on Physics, Belem, Brazil, 18-22 September
2017
| null |
10.1142/S0218271818430149
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study vacuum and thermal expectation values of quantum scalar and Dirac
fermion fields on anti-de Sitter space-time. Anti-de Sitter space-time is
maximally symmetric and this enables expressions for the scalar and fermion
vacuum Feynman Green's functions to be derived in closed form. We employ
Hadamard renormalization to find the vacuum expectation values. The thermal
Feynman Green's functions are constructed from the vacuum Feynman Green's
functions using the imaginary time periodicity/anti-periodicity property for
scalars/fermions. Focussing on massless fields with either conformal or minimal
coupling to the space-time curvature (these two cases being the same for
fermions) we compute the differences between the thermal and vacuum expectation
values. We compare the resulting energy densities, pressures and pressure
deviators with the corresponding classical quantities calculated using
relativistic kinetic theory.
|
[
{
"created": "Wed, 31 Jan 2018 09:12:53 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Apr 2018 13:13:22 GMT",
"version": "v2"
}
] |
2018-08-29
|
[
[
"Ambrus",
"Victor E.",
""
],
[
"Kent",
"Carl",
""
],
[
"Winstanley",
"Elizabeth",
""
]
] |
We study vacuum and thermal expectation values of quantum scalar and Dirac fermion fields on anti-de Sitter space-time. Anti-de Sitter space-time is maximally symmetric and this enables expressions for the scalar and fermion vacuum Feynman Green's functions to be derived in closed form. We employ Hadamard renormalization to find the vacuum expectation values. The thermal Feynman Green's functions are constructed from the vacuum Feynman Green's functions using the imaginary time periodicity/anti-periodicity property for scalars/fermions. Focussing on massless fields with either conformal or minimal coupling to the space-time curvature (these two cases being the same for fermions) we compute the differences between the thermal and vacuum expectation values. We compare the resulting energy densities, pressures and pressure deviators with the corresponding classical quantities calculated using relativistic kinetic theory.
|
1203.0576
|
Ivonne Zavala
|
Luke Barclay, Ruth Gregory, Susha Parameswaran, Gianmassimo Tasinato,
Ivonne Zavala
|
Lifshitz black holes in IIA supergravity
|
36 pages, 26 figures. V2, references added; matches journal version
| null |
10.1007/JHEP05(2012)122
|
DCPT-12/13
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute string theoretic black hole solutions having Lifshitz asymptotics
with a general dynamical exponent z>1. We start by constructing solutions in a
flux compactification of six dimensional supergravity, then uplift them to
massive type IIA supergravity. Alongside the Lifshitz black holes we study the
simpler anti-de Sitter solutions, of which there are a 1-parameter family in
this supergravity, and compare and contrast their properties. The black holes
are characterized by a two-form and scalar charge, and we numerically explore
their configuration space and thermodynamical aspects.
|
[
{
"created": "Fri, 2 Mar 2012 21:27:14 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Jun 2012 17:18:26 GMT",
"version": "v2"
}
] |
2015-06-04
|
[
[
"Barclay",
"Luke",
""
],
[
"Gregory",
"Ruth",
""
],
[
"Parameswaran",
"Susha",
""
],
[
"Tasinato",
"Gianmassimo",
""
],
[
"Zavala",
"Ivonne",
""
]
] |
We compute string theoretic black hole solutions having Lifshitz asymptotics with a general dynamical exponent z>1. We start by constructing solutions in a flux compactification of six dimensional supergravity, then uplift them to massive type IIA supergravity. Alongside the Lifshitz black holes we study the simpler anti-de Sitter solutions, of which there are a 1-parameter family in this supergravity, and compare and contrast their properties. The black holes are characterized by a two-form and scalar charge, and we numerically explore their configuration space and thermodynamical aspects.
|
2012.08220
|
Athanasios Chatzistavrakidis
|
Athanasios Chatzistavrakidis, Georgios Karagiannis, Arash Ranjbar
|
Duality and higher Buscher rules in p-form gauge theory and linearized
gravity
|
34 pages
| null |
10.1002/prop.202000135
|
RBI-ThPhys-2020-52
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform an in-depth analysis of the transformation rules under duality for
couplings of theories containing multiple scalars, $p$-form gauge fields,
linearized gravitons or $(p,1)$ mixed symmetry tensors. Following a similar
reasoning to the derivation of the Buscher rules for string background fields
under T-duality, we show that the couplings for all classes of aforementioned
multi-field theories transform according to one of two sets of duality rules.
These sets comprise the ordinary Buscher rules and their higher counterpart;
this is a generic feature of multi-field theories in spacetime dimensions where
the field strength and its dual are of the same degree. Our analysis takes into
account topological theta terms and generalized $B$-fields, whose behavior
under duality is carefully tracked. For a 1-form or a graviton in 4D, this
reduces to the inversion of the complexified coupling or generalized metric
under electric/magnetic duality. Moreover, we write down an action for
linearized gravity in the presence of $\theta$-term from which we obtain
previously suggested on-shell duality and double duality relations. This also
provides an explanation for the origin of theta in the gravitational duality
relations as a specific additional sector of the linearized gravity action.
|
[
{
"created": "Tue, 15 Dec 2020 11:20:13 GMT",
"version": "v1"
}
] |
2021-04-07
|
[
[
"Chatzistavrakidis",
"Athanasios",
""
],
[
"Karagiannis",
"Georgios",
""
],
[
"Ranjbar",
"Arash",
""
]
] |
We perform an in-depth analysis of the transformation rules under duality for couplings of theories containing multiple scalars, $p$-form gauge fields, linearized gravitons or $(p,1)$ mixed symmetry tensors. Following a similar reasoning to the derivation of the Buscher rules for string background fields under T-duality, we show that the couplings for all classes of aforementioned multi-field theories transform according to one of two sets of duality rules. These sets comprise the ordinary Buscher rules and their higher counterpart; this is a generic feature of multi-field theories in spacetime dimensions where the field strength and its dual are of the same degree. Our analysis takes into account topological theta terms and generalized $B$-fields, whose behavior under duality is carefully tracked. For a 1-form or a graviton in 4D, this reduces to the inversion of the complexified coupling or generalized metric under electric/magnetic duality. Moreover, we write down an action for linearized gravity in the presence of $\theta$-term from which we obtain previously suggested on-shell duality and double duality relations. This also provides an explanation for the origin of theta in the gravitational duality relations as a specific additional sector of the linearized gravity action.
|
2212.14114
|
Nikita Zaigraev
|
Ioseph Buchbinder, Evgeny Ivanov, Nikita Zaigraev
|
$\mathcal{N} = 2$ higher spins: superfield equations of motion, the
hypermultiplet supercurrents, and the component structure
|
0 + 90 pages, typos corrected; published version
|
JHEP03(2023)036
|
10.1007/JHEP03(2023)036
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
As a continuation of our previous papers arXiv:2109.07639 and
arXiv:2202.08196, we study the linearized structure of the manifestly $4D,
\mathcal{N} = 2$ supersymmetric theory of the cubic couplings of the higher
spin gauge superfields to the matter hypermultiplets. We consider in detail the
superfield equations of motion, construct the conserved hypermultiplet
superfield currents, explore their component structure (basically in the
bosonic sector) and compare it with the corresponding currents in the
conventional higher-spin bosonic theory. We thoroughly study the $\mathcal{N} =
2$ spin $\mathbf{2}$ and $\mathbf{3}$ models as instructive examples.
|
[
{
"created": "Wed, 28 Dec 2022 22:33:30 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jan 2023 17:52:49 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Mar 2023 11:21:43 GMT",
"version": "v3"
},
{
"created": "Mon, 13 Mar 2023 11:30:23 GMT",
"version": "v4"
}
] |
2023-03-14
|
[
[
"Buchbinder",
"Ioseph",
""
],
[
"Ivanov",
"Evgeny",
""
],
[
"Zaigraev",
"Nikita",
""
]
] |
As a continuation of our previous papers arXiv:2109.07639 and arXiv:2202.08196, we study the linearized structure of the manifestly $4D, \mathcal{N} = 2$ supersymmetric theory of the cubic couplings of the higher spin gauge superfields to the matter hypermultiplets. We consider in detail the superfield equations of motion, construct the conserved hypermultiplet superfield currents, explore their component structure (basically in the bosonic sector) and compare it with the corresponding currents in the conventional higher-spin bosonic theory. We thoroughly study the $\mathcal{N} = 2$ spin $\mathbf{2}$ and $\mathbf{3}$ models as instructive examples.
|
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