id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9503032 | Connie Jones | C. R. Hagen | Perturbation Theory and the Aharonov-Bohm Effect | 12 pages, TEX file, no figures | Phys.Rev. D52 (1995) 2466-2470 | 10.1103/PhysRevD.52.2466 | UR-1413, ER40685-860 | hep-th | null | The perturbation theory expansion of the Aharonov-Bohm scattering amplitude
has previously been studied in the context of quantum mechanics for spin zero
and spin-1/2 particles as well in Galilean covariant field theory. This problem
is reconsidered in the framework of the model in which the flux line is
considered to have a finite radius which is shrunk to zero at the end of the
calculation. General agreement with earlier results is obtained but with the
advantage of a treatment which unifies all the various subcases.
| [
{
"created": "Mon, 6 Mar 1995 18:44:17 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Hagen",
"C. R.",
""
]
] | The perturbation theory expansion of the Aharonov-Bohm scattering amplitude has previously been studied in the context of quantum mechanics for spin zero and spin-1/2 particles as well in Galilean covariant field theory. This problem is reconsidered in the framework of the model in which the flux line is considered to have a finite radius which is shrunk to zero at the end of the calculation. General agreement with earlier results is obtained but with the advantage of a treatment which unifies all the various subcases. |
hep-th/0608058 | Zurab Tavartkiladze | Filipe Paccetti Correia, Michael G. Schmidt, Zurab Tavartkiladze | Radion Stabilization In 5D SUGRA | LaTex. Some comments and references added, version to appear in NPB | Nucl.Phys.B763:247-267,2007 | 10.1016/j.nuclphysb.2006.11.026 | CERN-PH-TH-2006-141, HD-THEP-06-14 | hep-th hep-ph | null | We present a detailed study of radion stabilization within 5D conformal SUGRA
compactified on an $S^{(1)}/Z_2$ orbifold. We use an effective 4D superfield
description developed in our previous work. The effects of tree level bulk and
boundary couplings, and in particular of one loop contributions and of a non
perturbative correction on the radion stabilization are investigated. We find
new examples of radion stabilization in non SUSY and (meta-stable) SUSY
preserving Minkowski vacua.
| [
{
"created": "Wed, 9 Aug 2006 13:56:27 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Dec 2006 22:55:04 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Correia",
"Filipe Paccetti",
""
],
[
"Schmidt",
"Michael G.",
""
],
[
"Tavartkiladze",
"Zurab",
""
]
] | We present a detailed study of radion stabilization within 5D conformal SUGRA compactified on an $S^{(1)}/Z_2$ orbifold. We use an effective 4D superfield description developed in our previous work. The effects of tree level bulk and boundary couplings, and in particular of one loop contributions and of a non perturbative correction on the radion stabilization are investigated. We find new examples of radion stabilization in non SUSY and (meta-stable) SUSY preserving Minkowski vacua. |
1403.5263 | Matthias Kaminski | Han-Chih Chang, Mitsutoshi Fujita, Matthias Kaminski | From Maxwell-Chern-Simons theory in $AdS_3$ towards hydrodynamics in 1+1
dimensions | 41 pages + appendix, 4 figures, 1 table | null | 10.1007/JHEP10(2014)118 | IPMU14-0050 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study Abelian Maxwell-Chern-Simons theory in three-dimensional $AdS$ black
hole backgrounds for both integer and non-integer Chern-Simons coupling. Such
theories can be derived from various string theory constructions, which we
review in the present work. In particular we find exact solutions in the low
frequency, low momentum limit, $\omega, k \ll T$(hydrodynamic limit). Using the
holographic principle, we translate our results into correlation functions of
vector and scalar operators in the dual strongly coupled 1+1-dimensional
quantum field theory with a chiral anomaly at non-zero temperature $T$.
Starting from the conformal case we show applicability of the hydrodynamic
limit and discuss extensions to the non-conformal case. Correlation functions
in the conformal case are compared to an exact field theoretic computation.
| [
{
"created": "Thu, 20 Mar 2014 20:00:08 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Jun 2015 15:50:49 GMT",
"version": "v2"
}
] | 2015-06-22 | [
[
"Chang",
"Han-Chih",
""
],
[
"Fujita",
"Mitsutoshi",
""
],
[
"Kaminski",
"Matthias",
""
]
] | We study Abelian Maxwell-Chern-Simons theory in three-dimensional $AdS$ black hole backgrounds for both integer and non-integer Chern-Simons coupling. Such theories can be derived from various string theory constructions, which we review in the present work. In particular we find exact solutions in the low frequency, low momentum limit, $\omega, k \ll T$(hydrodynamic limit). Using the holographic principle, we translate our results into correlation functions of vector and scalar operators in the dual strongly coupled 1+1-dimensional quantum field theory with a chiral anomaly at non-zero temperature $T$. Starting from the conformal case we show applicability of the hydrodynamic limit and discuss extensions to the non-conformal case. Correlation functions in the conformal case are compared to an exact field theoretic computation. |
hep-th/0012207 | Sandor Nagy | S. Nagy, K. Sailer | Response of an electron system to a periodic potential | 5 pages, 1 figure | null | 10.1080/13642810108208571 | null | hep-th | null | We give a quantum field theoretical treatment of a one dimensional electron
system with a fixed chemical potential $\mu$. The non-perturbative Lindhard
response function is found for an electron system in a sinusoidal potential.
| [
{
"created": "Thu, 21 Dec 2000 10:09:34 GMT",
"version": "v1"
}
] | 2017-02-08 | [
[
"Nagy",
"S.",
""
],
[
"Sailer",
"K.",
""
]
] | We give a quantum field theoretical treatment of a one dimensional electron system with a fixed chemical potential $\mu$. The non-perturbative Lindhard response function is found for an electron system in a sinusoidal potential. |
1610.06597 | Zhong-Zhi Xianyu | Xingang Chen, Yi Wang, Zhong-Zhi Xianyu | Standard Model Background of the Cosmological Collider | 10 pages, 2 figures. PRL accepted version | Phys. Rev. Lett. 118, 261302 (2017) | 10.1103/PhysRevLett.118.261302 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The inflationary universe can be viewed as a "Cosmological Collider" with
energy of Hubble scale, producing very massive particles and recording their
characteristic signals in primordial non-Gaussianities. To utilize this
collider to explore any new physics at very high scales, it is a prerequisite
to understand the background signals from the particle physics Standard Model.
In this paper we describe the Standard Model background of the Cosmological
Collider.
| [
{
"created": "Thu, 20 Oct 2016 20:27:41 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Dec 2016 19:18:05 GMT",
"version": "v2"
},
{
"created": "Fri, 30 Jun 2017 08:40:24 GMT",
"version": "v3"
}
] | 2017-07-03 | [
[
"Chen",
"Xingang",
""
],
[
"Wang",
"Yi",
""
],
[
"Xianyu",
"Zhong-Zhi",
""
]
] | The inflationary universe can be viewed as a "Cosmological Collider" with energy of Hubble scale, producing very massive particles and recording their characteristic signals in primordial non-Gaussianities. To utilize this collider to explore any new physics at very high scales, it is a prerequisite to understand the background signals from the particle physics Standard Model. In this paper we describe the Standard Model background of the Cosmological Collider. |
hep-th/0004014 | Tony Gherghetta | Tony Gherghetta and Mikhail Shaposhnikov | Localizing Gravity on a String-Like Defect in Six Dimensions | 9 pages, LaTeX ; v2: several equations corrected; v3: minor typos
corrected, reference added, version to be published in Phys.Rev.Lett; v4:
Eq.(16) modified | Phys.Rev.Lett. 85 (2000) 240-243 | 10.1103/PhysRevLett.85.240 | UNIL-IPT-00-08 | hep-th hep-ph | null | We present a metric solution in six dimensions where gravity is localized on
a four-dimensional singular string-like defect. The corrections to
four-dimensional gravity from the bulk continuum modes are suppressed by ${\cal
O}(1/r^3)$. No tuning of the bulk cosmological constant to the brane tension is
required in order to cancel the four-dimensional cosmological constant.
| [
{
"created": "Mon, 3 Apr 2000 21:18:38 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Apr 2000 15:48:41 GMT",
"version": "v2"
},
{
"created": "Mon, 19 Jun 2000 14:13:33 GMT",
"version": "v3"
},
{
"created": "Thu, 14 Sep 2000 12:59:35 GMT",
"version": "v4"
}
] | 2009-10-31 | [
[
"Gherghetta",
"Tony",
""
],
[
"Shaposhnikov",
"Mikhail",
""
]
] | We present a metric solution in six dimensions where gravity is localized on a four-dimensional singular string-like defect. The corrections to four-dimensional gravity from the bulk continuum modes are suppressed by ${\cal O}(1/r^3)$. No tuning of the bulk cosmological constant to the brane tension is required in order to cancel the four-dimensional cosmological constant. |
1508.06354 | Simone Giombi | Simone Giombi, Igor R. Klebanov, Grigory Tarnopolsky | Conformal QED$_d$, $F$-Theorem and the $\epsilon$ Expansion | v3: 33 pages, 6 figures. Some improvements, references added | null | null | PUPT-2484 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate the free energies $F$ for $U(1)$ gauge theories on the $d$
dimensional sphere of radius $R$. For the theory with free Maxwell action we
find the exact result as a function of $d$; it contains the term $\frac{d-4}{2}
\log R$ consistent with the lack of conformal invariance in dimensions other
than 4. When the $U(1)$ gauge theory is coupled to a sufficient number $N_f$ of
massless 4 component fermions, it acquires an interacting conformal phase,
which in $d<4$ describes the long distance behavior of the model. The conformal
phase can be studied using large $N_f$ methods. Generalizing the $d=3$
calculation in arXiv:1112.5342, we compute its sphere free energy as a function
of $d$, ignoring the terms of order $1/N_f$ and higher. For finite $N_f$,
following arXiv:1409.1937 and arXiv:1507.01960, we develop the $4-\epsilon$
expansion for the sphere free energy of conformal QED$_d$. Its extrapolation to
$d=3$ shows very good agreement with the large $N_f$ approximation for $N_f>3$.
For $N_f$ at or below some critical value $N_{\rm crit}$, the $SU(2N_f)$
symmetric conformal phase of QED$_3$ is expected to disappear or become
unstable. By using the $F$-theorem and comparing the sphere free energies in
the conformal and broken symmetry phases, we show that $N_{\rm crit}\leq 4$. As
another application of our results, we calculate the one loop beta function in
conformal QED$_6$, where the gauge field has a 4-derivative kinetic term. We
show that this theory coupled to $N_f$ massless fermions is asymptotically
free.
| [
{
"created": "Wed, 26 Aug 2015 03:36:03 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Sep 2015 19:06:21 GMT",
"version": "v2"
},
{
"created": "Fri, 30 Oct 2015 00:43:12 GMT",
"version": "v3"
}
] | 2015-11-02 | [
[
"Giombi",
"Simone",
""
],
[
"Klebanov",
"Igor R.",
""
],
[
"Tarnopolsky",
"Grigory",
""
]
] | We calculate the free energies $F$ for $U(1)$ gauge theories on the $d$ dimensional sphere of radius $R$. For the theory with free Maxwell action we find the exact result as a function of $d$; it contains the term $\frac{d-4}{2} \log R$ consistent with the lack of conformal invariance in dimensions other than 4. When the $U(1)$ gauge theory is coupled to a sufficient number $N_f$ of massless 4 component fermions, it acquires an interacting conformal phase, which in $d<4$ describes the long distance behavior of the model. The conformal phase can be studied using large $N_f$ methods. Generalizing the $d=3$ calculation in arXiv:1112.5342, we compute its sphere free energy as a function of $d$, ignoring the terms of order $1/N_f$ and higher. For finite $N_f$, following arXiv:1409.1937 and arXiv:1507.01960, we develop the $4-\epsilon$ expansion for the sphere free energy of conformal QED$_d$. Its extrapolation to $d=3$ shows very good agreement with the large $N_f$ approximation for $N_f>3$. For $N_f$ at or below some critical value $N_{\rm crit}$, the $SU(2N_f)$ symmetric conformal phase of QED$_3$ is expected to disappear or become unstable. By using the $F$-theorem and comparing the sphere free energies in the conformal and broken symmetry phases, we show that $N_{\rm crit}\leq 4$. As another application of our results, we calculate the one loop beta function in conformal QED$_6$, where the gauge field has a 4-derivative kinetic term. We show that this theory coupled to $N_f$ massless fermions is asymptotically free. |
1010.4581 | Zbigniew Haba | Z.Haba | Non-linear relativistic diffusions | 20 pages, the version to appear in Physica A | Physica A390:2776-2786,2011 | 10.1016/j.physa.2011.03.025 | null | hep-th cond-mat.stat-mech hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain a non-linear generalization of the relativistic diffusion of
particles with spin. We discuss diffusion equations whose non-linearity is a
consequence of quantum statistics. We show that the assumptions of the
relativistic invariance and an interpretation of the solution as a probability
distribution substantially restrict the class of admissible non-linear
diffusion equations. We consider relativistic invariant as well as covariant
frame dependent diffusion equations with a drift. In the latter case we show
that there can exist stationary solutions of the diffusion equation besides the
equilibrium solution corresponding to the quantum or Tsallis distributions. We
define the relative entropy as a function of the diffusion probability and
prove that it is monotonically decreasing in time when the diffusion tends to
the equilibrium. We discuss its relation to the thermodynamic behavior of
diffusing particles.
| [
{
"created": "Thu, 21 Oct 2010 20:38:21 GMT",
"version": "v1"
},
{
"created": "Sun, 27 Mar 2011 16:10:12 GMT",
"version": "v2"
}
] | 2011-06-20 | [
[
"Haba",
"Z.",
""
]
] | We obtain a non-linear generalization of the relativistic diffusion of particles with spin. We discuss diffusion equations whose non-linearity is a consequence of quantum statistics. We show that the assumptions of the relativistic invariance and an interpretation of the solution as a probability distribution substantially restrict the class of admissible non-linear diffusion equations. We consider relativistic invariant as well as covariant frame dependent diffusion equations with a drift. In the latter case we show that there can exist stationary solutions of the diffusion equation besides the equilibrium solution corresponding to the quantum or Tsallis distributions. We define the relative entropy as a function of the diffusion probability and prove that it is monotonically decreasing in time when the diffusion tends to the equilibrium. We discuss its relation to the thermodynamic behavior of diffusing particles. |
0710.5796 | Meng Chwan Tan | Meng-Chwan Tan | Gauging Spacetime Symmetries on the Worldsheet and the Geometric
Langlands Program | 80 pages + appendix. Minor changes, further clarifications and
improvements. Published version | JHEP 0803:033,2008 | 10.1088/1126-6708/2008/03/033 | null | hep-th math.AG math.QA | null | We study the two-dimensional twisted (0,2) sigma-model on various smooth
complex flag manifolds G/B, and explore its relevance to the geometric
Langlands program. We find that an equivalence - at the level of the
holomorphic chiral algebra - between a bosonic string on G/B and a B-gauged
version of itself on G, will imply an isomorphism of classical W-algebras and a
level relation which underlie a geometric Langlands correspondence for
G=SL(N,C). This furnishes an alternative physical interpretation of the
geometric Langlands correspondence for G=SL(N,C), to that demonstrated earlier
by Kapustin and Witten via an electric-magnetic duality of four-dimensional
gauge theory. Likewise, the Hecke operators and Hecke eigensheaves will have an
alternative physical interpretation in terms of the correlation functions of
local operators in the holomorphic chiral algebra of a quasi-topological
sigma-model without boundaries. A forthcoming paper will investigate the
interpretation of a ``quantum'' geometric Langlands correspondence for
G=SL(N,C) in a similar setting, albeit with fluxes of the sigma-model moduli
which induce a ``quantum'' deformation of the relevant classical algebras
turned on.
| [
{
"created": "Wed, 31 Oct 2007 14:53:19 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Nov 2007 18:48:25 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Nov 2007 21:54:30 GMT",
"version": "v3"
},
{
"created": "Mon, 19 Nov 2007 17:10:06 GMT",
"version": "v4"
},
{
"cre... | 2009-05-20 | [
[
"Tan",
"Meng-Chwan",
""
]
] | We study the two-dimensional twisted (0,2) sigma-model on various smooth complex flag manifolds G/B, and explore its relevance to the geometric Langlands program. We find that an equivalence - at the level of the holomorphic chiral algebra - between a bosonic string on G/B and a B-gauged version of itself on G, will imply an isomorphism of classical W-algebras and a level relation which underlie a geometric Langlands correspondence for G=SL(N,C). This furnishes an alternative physical interpretation of the geometric Langlands correspondence for G=SL(N,C), to that demonstrated earlier by Kapustin and Witten via an electric-magnetic duality of four-dimensional gauge theory. Likewise, the Hecke operators and Hecke eigensheaves will have an alternative physical interpretation in terms of the correlation functions of local operators in the holomorphic chiral algebra of a quasi-topological sigma-model without boundaries. A forthcoming paper will investigate the interpretation of a ``quantum'' geometric Langlands correspondence for G=SL(N,C) in a similar setting, albeit with fluxes of the sigma-model moduli which induce a ``quantum'' deformation of the relevant classical algebras turned on. |
hep-th/0408061 | David Wands | Mariam Bouhmadi-Lopez and David Wands (Portsmouth) | Induced gravity with a non-minimally coupled scalar field on the brane | 13 pages, latex with revtex | Phys.Rev. D71 (2005) 024010 | 10.1103/PhysRevD.71.024010 | null | hep-th gr-qc | null | We present the four-dimensional equations on a brane with a scalar field
non-minimally coupled to the induced Ricci curvature, embedded in a
five-dimensional bulk with a cosmological constant. This is a natural extension
to a brane-world context of scalar-tensor (Brans-Dicke) gravity. In particular
we consider the cosmological evolution of a homogeneous and isotropic (FRW)
brane. We identify low-energy and strong-coupling limits in which we recover
effectively four-dimensional evolution. We find de Sitter brane solutions with
both constant and evolving scalar field. We also consider the special case of a
conformally coupled scalar field for which it is possible (when the conformal
energy density exactly cancels the effect of the bulk black hole) to recover a
conventional four-dimensional Friedmann equation for all energy densities.
| [
{
"created": "Sun, 8 Aug 2004 21:30:42 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Bouhmadi-Lopez",
"Mariam",
"",
"Portsmouth"
],
[
"Wands",
"David",
"",
"Portsmouth"
]
] | We present the four-dimensional equations on a brane with a scalar field non-minimally coupled to the induced Ricci curvature, embedded in a five-dimensional bulk with a cosmological constant. This is a natural extension to a brane-world context of scalar-tensor (Brans-Dicke) gravity. In particular we consider the cosmological evolution of a homogeneous and isotropic (FRW) brane. We identify low-energy and strong-coupling limits in which we recover effectively four-dimensional evolution. We find de Sitter brane solutions with both constant and evolving scalar field. We also consider the special case of a conformally coupled scalar field for which it is possible (when the conformal energy density exactly cancels the effect of the bulk black hole) to recover a conventional four-dimensional Friedmann equation for all energy densities. |
2107.09062 | Luca Iliesiu | Luca V. Iliesiu, Murat Kologlu, Gustavo J. Turiaci | Supersymmetric indices factorize | 54 pages plus 22 pages for appendices, 14 figures, v2: fixed typos | null | null | null | hep-th gr-qc | http://creativecommons.org/publicdomain/zero/1.0/ | The extent to which quantum mechanical features of black holes can be
understood from the Euclidean gravity path integral has recently received
significant attention. In this paper, we examine this question for the
calculation of the supersymmetric index. For concreteness, we focus on the case
of charged black holes in asymptotically flat four-dimensional $\mathcal{N}=2$
ungauged supergravity. We show that the gravity path integral with
supersymmetric boundary conditions has an infinite family of Kerr-Newman
classical saddles with different angular velocities. We argue that fermionic
zero-mode fluctuations are present around each of these solutions making their
contribution vanish, except for a single saddle that is BPS and gives the
expected value of the index. We then turn to non-perturbative corrections
involving spacetime wormholes and show that a fermionic zero mode is present in
all these geometries, making their contribution vanish once again. This
mechanism works for both single- and multi-boundary path integrals. In
particular, only disconnected geometries without wormholes contribute to the
gravitational path integral which computes the index, and the factorization
puzzle that plagues the black hole partition function is resolved for the
supersymmetric index. Finally, we classify all other single-centered geometries
that yield non-perturbative contributions to the gravitational index of each
boundary.
| [
{
"created": "Mon, 19 Jul 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Oct 2022 22:49:41 GMT",
"version": "v2"
}
] | 2022-10-05 | [
[
"Iliesiu",
"Luca V.",
""
],
[
"Kologlu",
"Murat",
""
],
[
"Turiaci",
"Gustavo J.",
""
]
] | The extent to which quantum mechanical features of black holes can be understood from the Euclidean gravity path integral has recently received significant attention. In this paper, we examine this question for the calculation of the supersymmetric index. For concreteness, we focus on the case of charged black holes in asymptotically flat four-dimensional $\mathcal{N}=2$ ungauged supergravity. We show that the gravity path integral with supersymmetric boundary conditions has an infinite family of Kerr-Newman classical saddles with different angular velocities. We argue that fermionic zero-mode fluctuations are present around each of these solutions making their contribution vanish, except for a single saddle that is BPS and gives the expected value of the index. We then turn to non-perturbative corrections involving spacetime wormholes and show that a fermionic zero mode is present in all these geometries, making their contribution vanish once again. This mechanism works for both single- and multi-boundary path integrals. In particular, only disconnected geometries without wormholes contribute to the gravitational path integral which computes the index, and the factorization puzzle that plagues the black hole partition function is resolved for the supersymmetric index. Finally, we classify all other single-centered geometries that yield non-perturbative contributions to the gravitational index of each boundary. |
hep-th/0003239 | Etesi Gabor | Gabor Etesi, Tamas Hausel | Geometric Interpretation of Schwarzschild Instantons | Latex, 11 pages, no figures, final, published version | J.Geom.Phys. 37 (2001) 126-136 | 10.1016/S0393-0440(00)00040-1 | null | hep-th gr-qc math-ph math.DG math.MP | null | In this note we address the problem of finding Abelian instantons of finite
energy on the Euclidean Schwarzschild manifold. This amounts to construct
self-dual L^2 harmonic 2-forms on the space. Gibbons found a non-topological
L^2 harmonic form in the Taub-NUT metric, leading to Abelian instantons with
continuous energy. We imitate his construction in the case of the Euclidean
Schwarzschild manifold and find a non-topological self-dual L^2 harmonic 2-form
on it. We show how this gives rise to Abelian instantons and identify them with
SU(2)-instantons of Pontryagin number 2n^2 found by Charap and Duff in 1977.
Using results of Dodziuk and Hitchin we also calculate the full L^2 harmonic
space for the Euclidean Schwarzschild manifold.
| [
{
"created": "Mon, 27 Mar 2000 06:49:30 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Feb 2001 19:03:30 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Etesi",
"Gabor",
""
],
[
"Hausel",
"Tamas",
""
]
] | In this note we address the problem of finding Abelian instantons of finite energy on the Euclidean Schwarzschild manifold. This amounts to construct self-dual L^2 harmonic 2-forms on the space. Gibbons found a non-topological L^2 harmonic form in the Taub-NUT metric, leading to Abelian instantons with continuous energy. We imitate his construction in the case of the Euclidean Schwarzschild manifold and find a non-topological self-dual L^2 harmonic 2-form on it. We show how this gives rise to Abelian instantons and identify them with SU(2)-instantons of Pontryagin number 2n^2 found by Charap and Duff in 1977. Using results of Dodziuk and Hitchin we also calculate the full L^2 harmonic space for the Euclidean Schwarzschild manifold. |
hep-th/0701058 | Mokhtar Hassaine | Mokhtar Hassaine and Cristian Martinez | Higher-dimensional black holes with a conformally invariant Maxwell
source | 5 pages | Phys.Rev.D75:027502,2007 | 10.1103/PhysRevD.75.027502 | CECS-PHY-06/23 | hep-th | null | We consider an action for an abelian gauge field for which the density is
given by a power of the Maxwell Lagrangian. In d spacetime dimensions this
action is shown to enjoy the conformal invariance if the power is chosen as
d/4. We take advantage of this conformal invariance to derive black hole
solutions electrically charged with a purely radial electric field. Because of
considering power of the Maxwell density, the black hole solutions exist only
for dimensions which are multiples of four. The expression of the electric
field does not depend on the dimension and corresponds to the four-dimensional
Reissner-Nordstrom field. Using the Hamiltonian action we identify the mass and
the electric charge of these black hole solutions.
| [
{
"created": "Mon, 8 Jan 2007 15:03:32 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Hassaine",
"Mokhtar",
""
],
[
"Martinez",
"Cristian",
""
]
] | We consider an action for an abelian gauge field for which the density is given by a power of the Maxwell Lagrangian. In d spacetime dimensions this action is shown to enjoy the conformal invariance if the power is chosen as d/4. We take advantage of this conformal invariance to derive black hole solutions electrically charged with a purely radial electric field. Because of considering power of the Maxwell density, the black hole solutions exist only for dimensions which are multiples of four. The expression of the electric field does not depend on the dimension and corresponds to the four-dimensional Reissner-Nordstrom field. Using the Hamiltonian action we identify the mass and the electric charge of these black hole solutions. |
hep-th/0103180 | Stefano Bellucci | S. Bellucci, V. Faraoni, D. Babusci | Scalar gravitational waves and Einstein frame | 14 pages, LaTeX, PACS: 04.30.-w, 04.30.Nk, 04.50.+h, accepted for
publication in Phys. Lett. A | Phys.Lett. A282 (2001) 357-361 | 10.1016/S0375-9601(01)00216-X | null | hep-th | null | The response of a gravitational wave detector to scalar waves is analysed in
the framework of the debate on the choice of conformal frames for scalar-tensor
theories. A correction to the geodesic equation arising in the Einstein
conformal frame modifies the geodesic deviation equation. This modification is
due to the non-metricity of the theory in the Einstein frame, yielding a
longitudinal mode that is absent in the Jordan conformal frame.
| [
{
"created": "Wed, 21 Mar 2001 19:51:39 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Bellucci",
"S.",
""
],
[
"Faraoni",
"V.",
""
],
[
"Babusci",
"D.",
""
]
] | The response of a gravitational wave detector to scalar waves is analysed in the framework of the debate on the choice of conformal frames for scalar-tensor theories. A correction to the geodesic equation arising in the Einstein conformal frame modifies the geodesic deviation equation. This modification is due to the non-metricity of the theory in the Einstein frame, yielding a longitudinal mode that is absent in the Jordan conformal frame. |
2211.07074 | Jian-Pin Wu | Dan Zhang, Guoyang Fu, Xi-Jing Wang, Qiyuan Pan, Jian-Pin Wu | Transport properties in the Horndeski holographic two-currents model | 30 pages, 10 figures | Eur.Phys.J.C 83 (2023) 4, 316 | 10.1140/epjc/s10052-023-11444-8 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The transport features of the holographic two-currents model are investigated
in the Horndeski gravity framework. This system displays metallic or insulating
characteristics depending on whether the Horndeski coupling parameter $\gamma$
is negative or positive, but is unaffected by other system parameters such as
the strength of the momentum dissipation $\hat{k}$, the doping $\chi$ and the
coupling between two gauge fields $\theta$. Secondly, we demonstrate that the
thermal conductivities are affected not only by the inherent properties of the
black hole, but also by the model parameters. Furthermore, we are particularly
interested in the Lorentz ratios' properties. As expected, the Wiedemann-Franz
(WF) law is violated, as it is in the majority of holographic systems.
Particularly intriguing is the fact that several Lorentz ratio bounds reported
in the typical axions model still remain true in our current theories. We would
like to highlight out, however, that the lower bound for $\hat{\bar{L}}_A$ is
affected by the system parameters $\chi$, $\theta$ and $\gamma$, which differs
from the case of the typical axions model.
| [
{
"created": "Mon, 14 Nov 2022 02:48:30 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Nov 2022 05:48:37 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Nov 2022 02:19:00 GMT",
"version": "v3"
},
{
"created": "Thu, 22 Jun 2023 18:55:03 GMT",
"version": "v4"
}
] | 2023-06-26 | [
[
"Zhang",
"Dan",
""
],
[
"Fu",
"Guoyang",
""
],
[
"Wang",
"Xi-Jing",
""
],
[
"Pan",
"Qiyuan",
""
],
[
"Wu",
"Jian-Pin",
""
]
] | The transport features of the holographic two-currents model are investigated in the Horndeski gravity framework. This system displays metallic or insulating characteristics depending on whether the Horndeski coupling parameter $\gamma$ is negative or positive, but is unaffected by other system parameters such as the strength of the momentum dissipation $\hat{k}$, the doping $\chi$ and the coupling between two gauge fields $\theta$. Secondly, we demonstrate that the thermal conductivities are affected not only by the inherent properties of the black hole, but also by the model parameters. Furthermore, we are particularly interested in the Lorentz ratios' properties. As expected, the Wiedemann-Franz (WF) law is violated, as it is in the majority of holographic systems. Particularly intriguing is the fact that several Lorentz ratio bounds reported in the typical axions model still remain true in our current theories. We would like to highlight out, however, that the lower bound for $\hat{\bar{L}}_A$ is affected by the system parameters $\chi$, $\theta$ and $\gamma$, which differs from the case of the typical axions model. |
0911.0865 | Seung-Joo Lee | Yang-Hui He, Seung-Joo Lee, Andre Lukas | Heterotic Models from Vector Bundles on Toric Calabi-Yau Manifolds | 41 pages, 5 figures. A table modified and a table added | JHEP 1005:071,2010 | 10.1007/JHEP05(2010)071 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We systematically approach the construction of heterotic E_8 X E_8 Calabi-Yau
models, based on compact Calabi-Yau three-folds arising from toric geometry and
vector bundles on these manifolds. We focus on a simple class of 101 such
three-folds with smooth ambient spaces, on which we perform an exhaustive scan
and find all positive monad bundles with SU(N), N=3,4,5 structure groups,
subject to the heterotic anomaly cancellation constraint. We find that
anomaly-free positive monads exist on only 11 of these toric three-folds with a
total number of bundles of about 2000. Only 21 of these models, all of them on
three-folds realizable as hypersurfaces in products of projective spaces, allow
for three families of quarks and leptons. We also perform a preliminary scan
over the much larger class of semi-positive monads which leads to about 44000
bundles with 280 of them satisfying the three-family constraint. These 280
models provide a starting point for heterotic model building based on toric
three-folds.
| [
{
"created": "Wed, 4 Nov 2009 16:22:08 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Dec 2009 17:10:45 GMT",
"version": "v2"
}
] | 2010-05-28 | [
[
"He",
"Yang-Hui",
""
],
[
"Lee",
"Seung-Joo",
""
],
[
"Lukas",
"Andre",
""
]
] | We systematically approach the construction of heterotic E_8 X E_8 Calabi-Yau models, based on compact Calabi-Yau three-folds arising from toric geometry and vector bundles on these manifolds. We focus on a simple class of 101 such three-folds with smooth ambient spaces, on which we perform an exhaustive scan and find all positive monad bundles with SU(N), N=3,4,5 structure groups, subject to the heterotic anomaly cancellation constraint. We find that anomaly-free positive monads exist on only 11 of these toric three-folds with a total number of bundles of about 2000. Only 21 of these models, all of them on three-folds realizable as hypersurfaces in products of projective spaces, allow for three families of quarks and leptons. We also perform a preliminary scan over the much larger class of semi-positive monads which leads to about 44000 bundles with 280 of them satisfying the three-family constraint. These 280 models provide a starting point for heterotic model building based on toric three-folds. |
1708.02250 | Jonathan Heckman | Jonathan J. Heckman and Luigi Tizzano | 6D Fractional Quantum Hall Effect | v2: 47 pages, 5 figures, clarifications and references added | null | 10.1007/JHEP05(2018)120 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a 6D generalization of the fractional quantum Hall effect
involving membranes coupled to a three-form potential in the presence of a
large background four-form flux. The low energy physics is governed by a bulk
7D topological field theory of abelian three-form potentials with a single
derivative Chern-Simons-like action coupled to a 6D anti-chiral theory of
Euclidean effective strings. We derive the fractional conductivity, and explain
how continued fractions which figure prominently in the classification of 6D
superconformal field theories correspond to a hierarchy of excited states.
Using methods from conformal field theory we also compute the analog of the
Laughlin wavefunction. Compactification of the 7D theory provides a uniform
perspective on various lower-dimensional gapped systems coupled to boundary
degrees of freedom. We also show that a supersymmetric version of the 7D theory
embeds in M-theory, and can be decoupled from gravity. Encouraged by this, we
present a conjecture in which IIB string theory is an edge mode of a
10+2-dimensional bulk topological theory, thus placing all twelve dimensions of
F-theory on a physical footing.
| [
{
"created": "Mon, 7 Aug 2017 18:00:07 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Jun 2018 12:51:41 GMT",
"version": "v2"
}
] | 2018-06-13 | [
[
"Heckman",
"Jonathan J.",
""
],
[
"Tizzano",
"Luigi",
""
]
] | We present a 6D generalization of the fractional quantum Hall effect involving membranes coupled to a three-form potential in the presence of a large background four-form flux. The low energy physics is governed by a bulk 7D topological field theory of abelian three-form potentials with a single derivative Chern-Simons-like action coupled to a 6D anti-chiral theory of Euclidean effective strings. We derive the fractional conductivity, and explain how continued fractions which figure prominently in the classification of 6D superconformal field theories correspond to a hierarchy of excited states. Using methods from conformal field theory we also compute the analog of the Laughlin wavefunction. Compactification of the 7D theory provides a uniform perspective on various lower-dimensional gapped systems coupled to boundary degrees of freedom. We also show that a supersymmetric version of the 7D theory embeds in M-theory, and can be decoupled from gravity. Encouraged by this, we present a conjecture in which IIB string theory is an edge mode of a 10+2-dimensional bulk topological theory, thus placing all twelve dimensions of F-theory on a physical footing. |
0812.1813 | Manoel Messias Ferreira Junior | Rodolfo Casana, Manoel M. Ferreira Jr (UFMA), A. R. Gomes (CEFET-MA),
Paulo R. D. Pinheiro (UFMA) | Stationary solutions for the parity-even sector of the CPT-even and
Lorentz-covariance-violating term of the standard model extension | 8 pages, revtex style, revised published version, to appear in EPJC
(2009) | Eur. Phys. J. C 62, 573-578 (2009) | 10.1140/epjc/s10052-009-1047-6 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we focus on some properties of the parity-even sector of the
CPT-even electrodynamics of the standard model extension. We analyze how the
six non-birefringent terms belonging to this sector modify the static and
stationary classical solutions of the usual Maxwell theory. We observe that the
parity-even terms do not couple the electric and magnetic sectors (at least in
the stationary regime). The Green's method is used to obtain solutions for the
field strengths E and B at first order in the Lorentz- covariance-violating
parameters. Explicit solutions are attained for point-like and spatially
extended sources, for which a dipolar expansion is achieved. Finally, it is
presented an Earth-based experiment that can lead (in principle) to an upper
bound on the anisotropic coefficients as stringent as
$(\widetilde{\kappa}_{e-}) ^{ij}<2.9\times10^{-20}.$
| [
{
"created": "Tue, 9 Dec 2008 22:46:40 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jan 2009 14:03:03 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Jun 2009 22:04:38 GMT",
"version": "v3"
}
] | 2009-08-18 | [
[
"Casana",
"Rodolfo",
"",
"UFMA"
],
[
"Ferreira",
"Manoel M.",
"Jr",
"UFMA"
],
[
"Gomes",
"A. R.",
"",
"CEFET-MA"
],
[
"Pinheiro",
"Paulo R. D.",
"",
"UFMA"
]
] | In this work, we focus on some properties of the parity-even sector of the CPT-even electrodynamics of the standard model extension. We analyze how the six non-birefringent terms belonging to this sector modify the static and stationary classical solutions of the usual Maxwell theory. We observe that the parity-even terms do not couple the electric and magnetic sectors (at least in the stationary regime). The Green's method is used to obtain solutions for the field strengths E and B at first order in the Lorentz- covariance-violating parameters. Explicit solutions are attained for point-like and spatially extended sources, for which a dipolar expansion is achieved. Finally, it is presented an Earth-based experiment that can lead (in principle) to an upper bound on the anisotropic coefficients as stringent as $(\widetilde{\kappa}_{e-}) ^{ij}<2.9\times10^{-20}.$ |
2207.13214 | Julio Oliva | Felipe Agurto-Sep\'ulveda, Mariano Chernicoff, Gaston Giribet, Julio
Oliva and Marcelo Oyarzo | Slowly rotating and the accelerating $\alpha'$-corrected black holes in
four and higher dimensions | 19 pages, no figures. v2 21 pages, rotating solution added and title
modified, one author added. v3 26 pages, accelerating solution added and
title accordingly modified. We have also included the explicit mapping to the
Einstein frame that allows to relate our solutions with the ones appearing in
previous literature. To appear in PRD | null | 10.1103/PhysRevD.107.084014 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We consider the low-energy effective action of string theory at order $\alpha
'$, including $R^2$-corrections to the Einstein-Hilbert gravitational action
and non-trivial dilaton coupling. By means of a convenient field redefinition,
we manage to express the theory in a frame that enables us to solve its field
equations analytically and perturbatively in $\alpha ' $ for a static
spherically symmetric ansatz in an arbitrary number of dimensions. The set of
solutions we obtain is compatible with asymptotically flat geometries
exhibiting a regular event horizon at which the dilaton is well-behaved. For
the 4-dimensional case, we also derive the stationary black hole configuration
at first order in $\alpha '$ and in the slowly rotating approximation. This
yields string theory modifications to the Kerr geometry, including terms of the
form $a$, $a^2$, $\alpha '$ and $a\alpha '$. In addition, we obtain the first
$\alpha'$ correction to the C-metrics, which accommodates accelerating black
holes. We work in the string frame and discuss the connection to the Einstein
frame, for which rotating black holes have already been obtained in the
literature.
| [
{
"created": "Tue, 26 Jul 2022 23:33:38 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Sep 2022 14:53:14 GMT",
"version": "v2"
},
{
"created": "Sat, 25 Mar 2023 23:59:51 GMT",
"version": "v3"
}
] | 2023-04-19 | [
[
"Agurto-Sepúlveda",
"Felipe",
""
],
[
"Chernicoff",
"Mariano",
""
],
[
"Giribet",
"Gaston",
""
],
[
"Oliva",
"Julio",
""
],
[
"Oyarzo",
"Marcelo",
""
]
] | We consider the low-energy effective action of string theory at order $\alpha '$, including $R^2$-corrections to the Einstein-Hilbert gravitational action and non-trivial dilaton coupling. By means of a convenient field redefinition, we manage to express the theory in a frame that enables us to solve its field equations analytically and perturbatively in $\alpha ' $ for a static spherically symmetric ansatz in an arbitrary number of dimensions. The set of solutions we obtain is compatible with asymptotically flat geometries exhibiting a regular event horizon at which the dilaton is well-behaved. For the 4-dimensional case, we also derive the stationary black hole configuration at first order in $\alpha '$ and in the slowly rotating approximation. This yields string theory modifications to the Kerr geometry, including terms of the form $a$, $a^2$, $\alpha '$ and $a\alpha '$. In addition, we obtain the first $\alpha'$ correction to the C-metrics, which accommodates accelerating black holes. We work in the string frame and discuss the connection to the Einstein frame, for which rotating black holes have already been obtained in the literature. |
hep-th/9610202 | Ludmil Hadjiivanov | Paolo Furlan, Ludmil K. Hadjiivanov and Ivan T. Todorov | A Quantum Gauge Group Approach to the 2D SU(n) WZNW Model | 10 pages, LATEX (Proposition 4.2 corrected, one reference added) | Int.J.Mod.Phys.A12:23-32,1997 | 10.1142/S0217751X97000049 | null | hep-th math.QA q-alg | null | The canonical quantization of the WZNW model provides a complete set of
exchange relations in the enlarged chiral state spaces that include the Gauss
components of the monodromy matrices. Regarded as new dynamical variables, the
elements of the latter cannot be identified -- they satisfy different exchange
relations. Accordingly, the two dimensional theory expressed in terms of the
left and right movers' fields does not automatically respect monodromy
invariance. Continuing our recent analysis of the problem by gauge theory
methods we conclude that physical states (on which the two dimensional field
acts as a single valued operator) are invariant under the (permuted) coproduct
of the left and right $U_q(sl(n))$. They satisfy additional constraints fully
described for n=2.
| [
{
"created": "Fri, 25 Oct 1996 13:19:55 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Dec 1996 16:01:23 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Mar 1997 16:01:10 GMT",
"version": "v3"
}
] | 2011-04-15 | [
[
"Furlan",
"Paolo",
""
],
[
"Hadjiivanov",
"Ludmil K.",
""
],
[
"Todorov",
"Ivan T.",
""
]
] | The canonical quantization of the WZNW model provides a complete set of exchange relations in the enlarged chiral state spaces that include the Gauss components of the monodromy matrices. Regarded as new dynamical variables, the elements of the latter cannot be identified -- they satisfy different exchange relations. Accordingly, the two dimensional theory expressed in terms of the left and right movers' fields does not automatically respect monodromy invariance. Continuing our recent analysis of the problem by gauge theory methods we conclude that physical states (on which the two dimensional field acts as a single valued operator) are invariant under the (permuted) coproduct of the left and right $U_q(sl(n))$. They satisfy additional constraints fully described for n=2. |
hep-th/9810117 | Simionato Michele | Michele Simionato | Gauge Consistent Wilson Renormalization Group II: Non-Abelian Case | 34 pages, 1 eps figure, latex2e. Minor changes, version to appear in
Int. J. Mod. Phys | Int.J.Mod.Phys. A15 (2000) 2153-2179 | 10.1142/S0217751X00000896 | null | hep-th | null | We give a wilsonian formulation of non-abelian gauge theories explicitly
consistent with axial gauge Ward identitities. The issues of unitarity and
dependence on the quantization direction are carefully investigated. A
wilsonian computation of the one-loop QCD beta function is performed.
| [
{
"created": "Thu, 15 Oct 1998 16:33:12 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Dec 1999 10:35:13 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Simionato",
"Michele",
""
]
] | We give a wilsonian formulation of non-abelian gauge theories explicitly consistent with axial gauge Ward identitities. The issues of unitarity and dependence on the quantization direction are carefully investigated. A wilsonian computation of the one-loop QCD beta function is performed. |
hep-th/0307169 | Anton V. Ryzhov | Anton V. Ryzhov | Operators in the d=4, N=4 SYM and the AdS/CFT correspondence | UCLA thesis, 169 pages, 11 figures, latex, UCLA thesis macro | null | null | null | hep-th | null | In this dissertation we explore various aspects of the AdS/CFT
correspondence. As string quantization on general backgrounds with fluxes is
very difficult, one often uses the duality at the level of canonical fields of
supergravity and the corresponding half-BPS operators in SYM, since they both
belong to the shortest multiplets of the superconformal group SU(2,2|4). In
addition to half-BPS operators, there are others with non-renormalization
properties. One such class of operators is the quarter-BPS operators, which are
dual to threshold bound states of elementary supergravity excitations. Their
scaling dimension is also determined by their internal quantum numbers.
Extended superspace methods make it simple to identify and remove descendant
pieces from quarter-BPS candidates. We also compute three-point functions
involving quarter-BPS operators, and explain how their non-renormalization
translates into statements about the dual supergravity quantities. But we can
go beyond discussing protected operators. The GS superstring on AdS(5) x S(5)
can be quantized exactly in the limit where the AdS(5) radius R goes to
infinity and the R-charge J scales like R^2. BMN states are then dual to single
trace operators with certain phases inserted (BMN operators). BMN operators are
another natural generalization of half-BPS operators. The perturbative
expansion of scaling dimensions of BMN operators is in powers of gN/J^2.
Moreover, one can do perturbation theory around the infinite R, J ~ R^2 limit.
Both expansions have the same regime of validity in string theory and in SYM.
We calculate the first 1/R^2 and 1/J corrections, and find complete agreement
between the dual quantities.
| [
{
"created": "Fri, 18 Jul 2003 00:35:58 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ryzhov",
"Anton V.",
""
]
] | In this dissertation we explore various aspects of the AdS/CFT correspondence. As string quantization on general backgrounds with fluxes is very difficult, one often uses the duality at the level of canonical fields of supergravity and the corresponding half-BPS operators in SYM, since they both belong to the shortest multiplets of the superconformal group SU(2,2|4). In addition to half-BPS operators, there are others with non-renormalization properties. One such class of operators is the quarter-BPS operators, which are dual to threshold bound states of elementary supergravity excitations. Their scaling dimension is also determined by their internal quantum numbers. Extended superspace methods make it simple to identify and remove descendant pieces from quarter-BPS candidates. We also compute three-point functions involving quarter-BPS operators, and explain how their non-renormalization translates into statements about the dual supergravity quantities. But we can go beyond discussing protected operators. The GS superstring on AdS(5) x S(5) can be quantized exactly in the limit where the AdS(5) radius R goes to infinity and the R-charge J scales like R^2. BMN states are then dual to single trace operators with certain phases inserted (BMN operators). BMN operators are another natural generalization of half-BPS operators. The perturbative expansion of scaling dimensions of BMN operators is in powers of gN/J^2. Moreover, one can do perturbation theory around the infinite R, J ~ R^2 limit. Both expansions have the same regime of validity in string theory and in SYM. We calculate the first 1/R^2 and 1/J corrections, and find complete agreement between the dual quantities. |
2003.12037 | Yusuke Kimura | Yusuke Kimura | Types of gauge groups in six-dimensional F-theory on double covers of
rational elliptic 3-folds | 22 pages | Int.J.Mod.Phys. A36 (2021) 2150027 | 10.1142/S0217751X21500275 | KEK-TH-2201 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this study, we analyze gauge groups in six-dimensional $N=1$ F-theory
models. We construct elliptic Calabi-Yau 3-folds possessing various singularity
types as double covers of "1/2 Calabi-Yau 3-folds", a class of rational
elliptic 3-folds, by applying the method discussed in a previous study to
classify the singularity types of the 1/2 Calabi-Yau 3-folds. One to three U(1)
factors are formed in six-dimensional F-theory on the constructed Calabi-Yau
3-folds. The singularity types of the constructed Calabi-Yau 3-folds
corresponding to the non-Abelian gauge group factors in six-dimensional
F-theory are deduced. The singularity types of the Calabi-Yau 3-folds
constructed in this work consist of $A$- and $D$-type singularities.
| [
{
"created": "Thu, 26 Mar 2020 17:06:45 GMT",
"version": "v1"
}
] | 2021-02-11 | [
[
"Kimura",
"Yusuke",
""
]
] | In this study, we analyze gauge groups in six-dimensional $N=1$ F-theory models. We construct elliptic Calabi-Yau 3-folds possessing various singularity types as double covers of "1/2 Calabi-Yau 3-folds", a class of rational elliptic 3-folds, by applying the method discussed in a previous study to classify the singularity types of the 1/2 Calabi-Yau 3-folds. One to three U(1) factors are formed in six-dimensional F-theory on the constructed Calabi-Yau 3-folds. The singularity types of the constructed Calabi-Yau 3-folds corresponding to the non-Abelian gauge group factors in six-dimensional F-theory are deduced. The singularity types of the Calabi-Yau 3-folds constructed in this work consist of $A$- and $D$-type singularities. |
1811.01184 | Andrei Mironov | A. Mironov, A. Morozov | Kerov functions revisited | 15 pages | Journal of Geometry and Physics, 150 (2020) 103608 | 10.1016/j.geomphys.2020.103608 | FIAN/TD-21/18; IITP/TH-19/18; ITEP/TH-33/18 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Schur functions play a crucial role in the modern description of HOMFLY
polynomials for knots and of topological vertices in DIM-based network
theories, which could merge into a unified theory still to be developed. The
Macdonald functions do the same for hyperpolynomials and refined vertices, but
merging appears to be more problematic. For a detailed study of this problem,
more knowledge is needed about the Macdonald polynomials than is usually
available. As a preparation for the discussion of the knot/vertices relation,
we summarize the relevant facts and open problems about the Macdonald and, more
generally, Kerov functions. Like Macdonald polynomials, they are triangular
combinations of Schur functions, but orthogonal in a more general scalar
product. We explain that the parameters of the measure can be considered as a
set of new time variables, and the Kerov functions are actually expressed
through the Schur functions of these variables as well. Despite they provide an
infinite-parametric extension of the Schur and Macdonald polynomials, the Kerov
functions, and even the skew Kerov functions continue to satisfy the most
important relations, like Cauchy summation formula, the transposition identity
for reflection of the Young diagram and expression of the skew functions
through the generalized Littlewood-Richardson structure constants. Since {\it
these} are the properties important in most applications, one can expect that
the Kerov extension exists for most of them, from the superintegrable matrix
and tensor models to knot theory.
| [
{
"created": "Sat, 3 Nov 2018 09:33:40 GMT",
"version": "v1"
}
] | 2020-01-31 | [
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] | The Schur functions play a crucial role in the modern description of HOMFLY polynomials for knots and of topological vertices in DIM-based network theories, which could merge into a unified theory still to be developed. The Macdonald functions do the same for hyperpolynomials and refined vertices, but merging appears to be more problematic. For a detailed study of this problem, more knowledge is needed about the Macdonald polynomials than is usually available. As a preparation for the discussion of the knot/vertices relation, we summarize the relevant facts and open problems about the Macdonald and, more generally, Kerov functions. Like Macdonald polynomials, they are triangular combinations of Schur functions, but orthogonal in a more general scalar product. We explain that the parameters of the measure can be considered as a set of new time variables, and the Kerov functions are actually expressed through the Schur functions of these variables as well. Despite they provide an infinite-parametric extension of the Schur and Macdonald polynomials, the Kerov functions, and even the skew Kerov functions continue to satisfy the most important relations, like Cauchy summation formula, the transposition identity for reflection of the Young diagram and expression of the skew functions through the generalized Littlewood-Richardson structure constants. Since {\it these} are the properties important in most applications, one can expect that the Kerov extension exists for most of them, from the superintegrable matrix and tensor models to knot theory. |
hep-th/0703262 | Axel Kleinschmidt | Axel Kleinschmidt | Unifying R-symmetry in M-theory | 17 pages. Proceedings of ICMP 2006 | null | null | AEI-2007-015 | hep-th | null | In this contribution we address the following question: Is there a group with
a fermionic presentation which unifies all the physical gravitini and dilatini
of the maximal supergravity theories in D=10 and D=11 (without introducing new
degrees of freedom)? The affirmative answer relies on a new mathematical object
derived from the theory of Kac--Moody algebras, notably E10. It can also be
shown that in this way not only the spectrum but also dynamical aspects of all
supergravity theories can be treated uniformly.
| [
{
"created": "Wed, 28 Mar 2007 15:08:17 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kleinschmidt",
"Axel",
""
]
] | In this contribution we address the following question: Is there a group with a fermionic presentation which unifies all the physical gravitini and dilatini of the maximal supergravity theories in D=10 and D=11 (without introducing new degrees of freedom)? The affirmative answer relies on a new mathematical object derived from the theory of Kac--Moody algebras, notably E10. It can also be shown that in this way not only the spectrum but also dynamical aspects of all supergravity theories can be treated uniformly. |
hep-th/9909118 | Luiz Agostinho Ferreira | Harold Blas and L. A. Ferreira | Confinement, solitons and the equivalence between the sine-Gordon and
massive Thirring models | LaTeX, 26 pages | Nucl.Phys. B571 (2000) 607-631 | 10.1016/S0550-3213(00)00015-8 | IFT-P.073/99 | hep-th math-ph math.MP nlin.SI solv-int | null | We consider a two-dimensional integrable and conformally invariant field
theory possessing two Dirac spinors and three scalar fields. The interaction
couples bilinear terms in the spinors to exponentials of the scalars. Its
integrability properties are based on the sl(2) affine Kac-Moody algebra, and
it is a simple example of the so-called conformal affine Toda theories coupled
to matter fields. We show, using bosonization techniques, that the classical
equivalence between a U(1) Noether current and the topological current holds
true at the quantum level, and then leads to a bag model like mechanism for the
confinement of the spinor fields inside the solitons. By bosonizing the spinors
we show that the theory decouples into a sine-Gordon model and free scalars. We
construct the two-soliton solutions and show that their interactions lead to
the same time delays as those for the sine-Gordon solitons. The model provides
a good laboratory to test duality ideas in the context of the equivalence
between the sine-Gordon and Thirring theories.
| [
{
"created": "Thu, 16 Sep 1999 18:36:38 GMT",
"version": "v1"
}
] | 2012-10-31 | [
[
"Blas",
"Harold",
""
],
[
"Ferreira",
"L. A.",
""
]
] | We consider a two-dimensional integrable and conformally invariant field theory possessing two Dirac spinors and three scalar fields. The interaction couples bilinear terms in the spinors to exponentials of the scalars. Its integrability properties are based on the sl(2) affine Kac-Moody algebra, and it is a simple example of the so-called conformal affine Toda theories coupled to matter fields. We show, using bosonization techniques, that the classical equivalence between a U(1) Noether current and the topological current holds true at the quantum level, and then leads to a bag model like mechanism for the confinement of the spinor fields inside the solitons. By bosonizing the spinors we show that the theory decouples into a sine-Gordon model and free scalars. We construct the two-soliton solutions and show that their interactions lead to the same time delays as those for the sine-Gordon solitons. The model provides a good laboratory to test duality ideas in the context of the equivalence between the sine-Gordon and Thirring theories. |
hep-th/0002253 | Sayipjamal Dulat | Sayipjamal Dulat | The Orbifolds of N=2 Superconformal Theories with c=3 | 20 pages; typos corrected, references added | J.Phys.A33:5345,2000 | 10.1088/0305-4470/33/30/306 | null | hep-th | null | We construct Z_M, M= 2, 3, 4, 6 orbifold models of the N=2 superconformal
field theories with central charge c=3. Then we check the description of the
Z_3, Z_4 and Z_6 orbifolds by the N=2 superconformal Landau-Ginzburg models
with c=3, by comparing the spectrum of chiral fields, in particular the Witten
index Tr(-1)^F.
| [
{
"created": "Tue, 29 Feb 2000 16:12:14 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Mar 2000 13:00:22 GMT",
"version": "v2"
},
{
"created": "Sat, 29 Apr 2000 17:48:02 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Dulat",
"Sayipjamal",
""
]
] | We construct Z_M, M= 2, 3, 4, 6 orbifold models of the N=2 superconformal field theories with central charge c=3. Then we check the description of the Z_3, Z_4 and Z_6 orbifolds by the N=2 superconformal Landau-Ginzburg models with c=3, by comparing the spectrum of chiral fields, in particular the Witten index Tr(-1)^F. |
1405.3714 | Kuo-Wei Huang | Christopher P. Herzog, Kuo-Wei Huang, Ricardo Vaz | Linear Resistivity from Non-Abelian Black Holes | 27 pages, 12 figures; v4: An analogous field theory calculation
added. Small changes to abstract, introduction, discussion and reference. To
appear in JHEP | JHEP11(2014)066 | 10.1007/JHEP11(2014)066 | null | hep-th cond-mat.str-el cond-mat.supr-con | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Starting with the holographic p-wave superconductor, we show how to obtain a
finite DC conductivity through a non-abelian gauge transformation. The
translational symmetry is preserved. We obtain phenomenological similarities
with high temperature cuprate superconductors. Our results suggest that a
lattice or impurities are not essential to produce a finite DC resistivity with
a linear temperature dependence. An analogous field theory calculation for free
fermions, presented in the appendix, indicates our results may be a special
feature of strong interactions.
| [
{
"created": "Wed, 14 May 2014 23:17:08 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jun 2014 03:58:50 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Sep 2014 01:31:23 GMT",
"version": "v3"
},
{
"created": "Thu, 6 Nov 2014 15:38:39 GMT",
"version": "v4"
}
] | 2015-06-19 | [
[
"Herzog",
"Christopher P.",
""
],
[
"Huang",
"Kuo-Wei",
""
],
[
"Vaz",
"Ricardo",
""
]
] | Starting with the holographic p-wave superconductor, we show how to obtain a finite DC conductivity through a non-abelian gauge transformation. The translational symmetry is preserved. We obtain phenomenological similarities with high temperature cuprate superconductors. Our results suggest that a lattice or impurities are not essential to produce a finite DC resistivity with a linear temperature dependence. An analogous field theory calculation for free fermions, presented in the appendix, indicates our results may be a special feature of strong interactions. |
1812.09008 | Sandor Nagy | I. Steib, S. Nagy | Renormalization of the bilocal sine-Gordon model | 16 pages, 2 figures | null | 10.1142/S0217751X19501173 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The functional renormalization group treatment is presented for the
two-dimensional sine-Gordon model by including a bilocal term in the potential,
which contributes to the flow at tree level. It is shown that the flow of the
bilocal term can substitute the evolution of the wave function renormalization
constant, and then the Kosterlitz-Thouless type phase transition can be
recovered.
| [
{
"created": "Fri, 21 Dec 2018 09:19:48 GMT",
"version": "v1"
}
] | 2019-09-04 | [
[
"Steib",
"I.",
""
],
[
"Nagy",
"S.",
""
]
] | The functional renormalization group treatment is presented for the two-dimensional sine-Gordon model by including a bilocal term in the potential, which contributes to the flow at tree level. It is shown that the flow of the bilocal term can substitute the evolution of the wave function renormalization constant, and then the Kosterlitz-Thouless type phase transition can be recovered. |
hep-th/9405101 | null | Francois Gieres | Supersymetrie et mathematiques | 45 pages. Resubmitted due to previous transmission errors | null | null | LYCEN 9419 | hep-th math.QA | null | Nous presentons une introduction aux concepts de la supersymetrie par
l'intermediaire de trois exemples: (i) Mecanique quantique supersymetrique,
(ii) Superalgebres de Lie, (iii) Superconnexions de Quillen. Les points communs
a toutes ces notions sont soulignes et des applications sont indiquees. En
particulier nous esquissons la demonstration du theoreme de Gauss et Bonnet
d'apres Patodi et la demonstration des inegalites de Morse d'apres Witten.
| [
{
"created": "Mon, 16 May 1994 20:42:16 GMT",
"version": "v1"
},
{
"created": "Tue, 17 May 1994 13:14:57 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Gieres",
"Francois",
""
]
] | Nous presentons une introduction aux concepts de la supersymetrie par l'intermediaire de trois exemples: (i) Mecanique quantique supersymetrique, (ii) Superalgebres de Lie, (iii) Superconnexions de Quillen. Les points communs a toutes ces notions sont soulignes et des applications sont indiquees. En particulier nous esquissons la demonstration du theoreme de Gauss et Bonnet d'apres Patodi et la demonstration des inegalites de Morse d'apres Witten. |
hep-th/9601076 | Silvio Rabello | J. Barcelos-Neto and S. Rabello | Mass generation for gauge fields in the Salam-Weinberg theory without
Higgs | 7 pages, Latex | Z.Phys. C74 (1997) 715-719 | null | null | hep-th hep-ph | null | We consider the Salam-Weinberg theory by introducing tensor gauge fields.
When these fields are coupled in a topological way with the vector ones, the
resulting system constitutes an alternative mechanism of mass generation for
vector fields without the presence of Higgs bosons. We show that these masses
are in agreement with the ones obtained by means of the spontaneous symmetry
breaking.
| [
{
"created": "Mon, 15 Jan 1996 16:44:41 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Barcelos-Neto",
"J.",
""
],
[
"Rabello",
"S.",
""
]
] | We consider the Salam-Weinberg theory by introducing tensor gauge fields. When these fields are coupled in a topological way with the vector ones, the resulting system constitutes an alternative mechanism of mass generation for vector fields without the presence of Higgs bosons. We show that these masses are in agreement with the ones obtained by means of the spontaneous symmetry breaking. |
hep-th/0110184 | David Berenstein | David Berenstein | On the universality class of the conifold | 25 pages, 6 figures. v2: Added references | JHEP 0111:060,2001 | 10.1088/1126-6708/2001/11/060 | null | hep-th | null | The possibility of having discrete degrees of freedom at singularities
associated to `conifolds with discrete torsion' is studied. We find that the
field theory of D-brane probes near these singularities is identical to
ordinary conifolds, so that there are no additional discrete degrees of freedom
located at the singularity. We shed light on how the obstructions to resolving
the singularity are global topological issues rather that local obstrucions at
the singularity itself. We also analyze the geometric transitions and duality
cascades when one has fractional branes at the singularity and compute the
moduli space of an arbitrary number of probes in the geometry. We provide some
evidence for a conjecture that there are no discrete degrees of freedom
localized at any Calabi-Yau singularity that can not be guessed from
topological data away from the singularity.
| [
{
"created": "Fri, 19 Oct 2001 15:56:10 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Oct 2001 18:12:31 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Berenstein",
"David",
""
]
] | The possibility of having discrete degrees of freedom at singularities associated to `conifolds with discrete torsion' is studied. We find that the field theory of D-brane probes near these singularities is identical to ordinary conifolds, so that there are no additional discrete degrees of freedom located at the singularity. We shed light on how the obstructions to resolving the singularity are global topological issues rather that local obstrucions at the singularity itself. We also analyze the geometric transitions and duality cascades when one has fractional branes at the singularity and compute the moduli space of an arbitrary number of probes in the geometry. We provide some evidence for a conjecture that there are no discrete degrees of freedom localized at any Calabi-Yau singularity that can not be guessed from topological data away from the singularity. |
hep-th/0205040 | Asher Peres | Asher Peres | PP-WAVES (the original article) | null | Phys.Rev.Lett. 3 (1959) 571 | null | null | hep-th | null | PP-waves have recently been of interest to string theorists. This is the
original, hard to find, original article on plane polarized gravitational
waves.
| [
{
"created": "Mon, 6 May 2002 06:42:05 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Peres",
"Asher",
""
]
] | PP-waves have recently been of interest to string theorists. This is the original, hard to find, original article on plane polarized gravitational waves. |
hep-th/9407007 | null | M. Shifman and A. Smilga | Fractons in Twisted Multiflavor Schwinger Model | 29 pages, 3 figures available upon request, Report TPI-MINN-94-24-T
Plain LATEX | Phys.Rev.D50:7659-7672,1994 | 10.1103/PhysRevD.50.7659 | null | hep-th | null | We consider two-dimensional QED with several fermion flavors on a finite
spatial circle. A modified version of the model with {\em flavor-dependent}
boundary conditions $\psi_p(L) = e^{2\pi ip/ N} \psi_p(0)$, $p = 1, \ldots , N$
is discussed ($N $ is the number of flavors). In this case a non-contactable
contour in the space of the gauge fields is {\em not} determined by large gauge
transformations. The Euclidean path integral acquires the contribution from the
gauge field configurations with fractional topological charge. The
configuration with $\nu = 1/N$ is responsible for the formation of the fermion
condensate $\langle\bar{\psi}_p \psi_p\rangle_0$. The condensate dies out as a
power of $L^{-1}$ when the length $L$ of the spatial box is sent to infinity.
Implications of this result for non-abelian gauge field theories are discussed
in brief.
| [
{
"created": "Fri, 1 Jul 1994 20:56:22 GMT",
"version": "v1"
}
] | 2009-09-25 | [
[
"Shifman",
"M.",
""
],
[
"Smilga",
"A.",
""
]
] | We consider two-dimensional QED with several fermion flavors on a finite spatial circle. A modified version of the model with {\em flavor-dependent} boundary conditions $\psi_p(L) = e^{2\pi ip/ N} \psi_p(0)$, $p = 1, \ldots , N$ is discussed ($N $ is the number of flavors). In this case a non-contactable contour in the space of the gauge fields is {\em not} determined by large gauge transformations. The Euclidean path integral acquires the contribution from the gauge field configurations with fractional topological charge. The configuration with $\nu = 1/N$ is responsible for the formation of the fermion condensate $\langle\bar{\psi}_p \psi_p\rangle_0$. The condensate dies out as a power of $L^{-1}$ when the length $L$ of the spatial box is sent to infinity. Implications of this result for non-abelian gauge field theories are discussed in brief. |
hep-th/9301132 | El Gradechi Mohamed Amine | Amine M. El Gradechi | On the Supersymplectic Homogeneous Superspace Underlying the OSp(1/2)
Coherent States | 19 pgs, PlainTeX, Preprint CRM-1850 | J.Math.Phys. 34 (1993) 5951-5963 | 10.1063/1.530242 | null | hep-th | null | In this work we extend Onofri and Perelomov's coherent states methods to the
recently introduced $OSp(1/2)$ coherent states. These latter are shown to be
parametrized by points of a supersymplectic supermanifold, namely the
homogeneous superspace $OSp(1/2)/U(1)$, which is clearly identified with a
supercoadjoint orbit of $OSp(1/2)$ by exhibiting the corresponding equivariant
supermoment map. Moreover, this supermanifold is shown to be a nontrivial
example of Rothstein's supersymplectic supermanifolds. More precisely, we show
that its supersymplectic structure is completely determined in terms of
$SU(1,1)$-invariant (but unrelated) K\"ahler $2$-form and K\"ahler metric on
the unit disc. This result allows us to define the notions of a superK\"ahler
supermanifold and a superK\"ahler superpotential, the geometric structure of
the former being encoded into the latter.
| [
{
"created": "Mon, 1 Feb 1993 01:42:56 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Gradechi",
"Amine M. El",
""
]
] | In this work we extend Onofri and Perelomov's coherent states methods to the recently introduced $OSp(1/2)$ coherent states. These latter are shown to be parametrized by points of a supersymplectic supermanifold, namely the homogeneous superspace $OSp(1/2)/U(1)$, which is clearly identified with a supercoadjoint orbit of $OSp(1/2)$ by exhibiting the corresponding equivariant supermoment map. Moreover, this supermanifold is shown to be a nontrivial example of Rothstein's supersymplectic supermanifolds. More precisely, we show that its supersymplectic structure is completely determined in terms of $SU(1,1)$-invariant (but unrelated) K\"ahler $2$-form and K\"ahler metric on the unit disc. This result allows us to define the notions of a superK\"ahler supermanifold and a superK\"ahler superpotential, the geometric structure of the former being encoded into the latter. |
hep-th/9705132 | Soo-Jong Rey | N. Kim and Soo-Jong Rey | M(atrix) Theory on T5/Z2 Orbifold and Five-Branes | v1. 24 pages, latex, no figure; v2. typos and references corrected | Nucl.Phys. B534 (1998) 155-182 | 10.1016/S0550-3213(98)00573-2 | IASSNS-HEP 97/26, SNUTP 97-042 | hep-th | null | We study M(atrix) theory description of M theory compactified on T5/Z2
orbifold. In the large volume limit we show that M theory dynamics is described
by N=8 supersymmetric USp(2N) M(atrix) quantum mechanics. Via zero-brane parton
scattering, we show that each orbifold fixed point carries anomalous G-flux
$\oint [G/2 \pi]= - 1/2$. To cancel the anomalous G-flux, we introduce twisted
sector consisting of sixteen five-branes represented by fundamental
representation hypermultiplets. In the small volume limit we show that M theory
dynamics is described by by (5+1)-dimensional (8,0) supersymmetric USp(2N)
chiral gauge theory. We point out that both perturbative and global gauge
anomalies are cancelled by the sixteen fundamental representation hyper-
multiplets in the twisted sector. We show that M(atrix) theory is capable of
turning on spacetime background with the required sixteen five-branes out of
zero-brane partons as bound-states. We determine six-dimensional spacetime
spectrum from the M(atrix) theory for both untwisted and twisted sectors and
find a complete agreement with the spectrum of (2,0) supergravity. We discuss
M(atrix) theory description of compactification moduli space, symmetry enhance-
ment thereof as well as further toroidal compactifications.
| [
{
"created": "Tue, 20 May 1997 00:02:59 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jul 1998 20:23:25 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Kim",
"N.",
""
],
[
"Rey",
"Soo-Jong",
""
]
] | We study M(atrix) theory description of M theory compactified on T5/Z2 orbifold. In the large volume limit we show that M theory dynamics is described by N=8 supersymmetric USp(2N) M(atrix) quantum mechanics. Via zero-brane parton scattering, we show that each orbifold fixed point carries anomalous G-flux $\oint [G/2 \pi]= - 1/2$. To cancel the anomalous G-flux, we introduce twisted sector consisting of sixteen five-branes represented by fundamental representation hypermultiplets. In the small volume limit we show that M theory dynamics is described by by (5+1)-dimensional (8,0) supersymmetric USp(2N) chiral gauge theory. We point out that both perturbative and global gauge anomalies are cancelled by the sixteen fundamental representation hyper- multiplets in the twisted sector. We show that M(atrix) theory is capable of turning on spacetime background with the required sixteen five-branes out of zero-brane partons as bound-states. We determine six-dimensional spacetime spectrum from the M(atrix) theory for both untwisted and twisted sectors and find a complete agreement with the spectrum of (2,0) supergravity. We discuss M(atrix) theory description of compactification moduli space, symmetry enhance- ment thereof as well as further toroidal compactifications. |
hep-th/0612092 | Stefan Groot Nibbelink | Stefan Groot Nibbelink and Tino S. Nyawelo | Effective Action of Softly Broken Supersymmetric Theories | 1+28 pages LaTeX, A few references added | Phys.Rev.D75:045002,2007 | 10.1103/PhysRevD.75.045002 | HD-THEP-06-32, IC/2006/118, SIAS-CMTP-06-8 | hep-th | null | We study the renormalization of (softly) broken supersymmetric theories at
the one loop level in detail. We perform this analysis in a superspace approach
in which the supersymmetry breaking interactions are parameterized using
spurion insertions. We comment on the uniqueness of this parameterization. We
compute the one loop renormalization of such theories by calculating superspace
vacuum graphs with multiple spurion insertions. To preform this computation
efficiently we develop algebraic properties of spurion operators, that
naturally arise because the spurions are often surrounded by superspace
projection operators. Our results are general apart from the restrictions that
higher super covariant derivative terms and some finite effects due to
non-commutativity of superfield dependent mass matrices are ignored. One of the
soft potentials induces renormalization of the Kaehler potential.
| [
{
"created": "Mon, 11 Dec 2006 15:12:29 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jan 2007 07:41:52 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Nibbelink",
"Stefan Groot",
""
],
[
"Nyawelo",
"Tino S.",
""
]
] | We study the renormalization of (softly) broken supersymmetric theories at the one loop level in detail. We perform this analysis in a superspace approach in which the supersymmetry breaking interactions are parameterized using spurion insertions. We comment on the uniqueness of this parameterization. We compute the one loop renormalization of such theories by calculating superspace vacuum graphs with multiple spurion insertions. To preform this computation efficiently we develop algebraic properties of spurion operators, that naturally arise because the spurions are often surrounded by superspace projection operators. Our results are general apart from the restrictions that higher super covariant derivative terms and some finite effects due to non-commutativity of superfield dependent mass matrices are ignored. One of the soft potentials induces renormalization of the Kaehler potential. |
1804.10779 | Ruben Manvelyan | Ruben Manvelyan, Gabriel Poghosyan | Geometrical structure of Weyl invariants for spin three gauge field in
general gravitational background in $d=4$ | 32 pages, v.2, misprints corrected | null | 10.1016/j.nuclphysb.2018.09.001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct all possible Weyl invariant actions in $d=4$ for linearized spin
three field in a general gravitational background. The first action is obtained
as the square of the generalized Weyl tensor for a spin three gauge field in
nonlinear gravitational background. It is, however, not invariant under spin
three gauge transformations. We then construct two other nontrivial Weyl but
not gauge invariant actions which are linear in the Weyl tensor of the
background geometry. We then discuss existence and uniqueness of a possible
linear combination of these three actions which is gauge invariant. We do this
at the linear order in the background curvature for Ricci flat backgrounds.
| [
{
"created": "Sat, 28 Apr 2018 09:58:46 GMT",
"version": "v1"
},
{
"created": "Sun, 20 May 2018 11:54:55 GMT",
"version": "v2"
}
] | 2018-11-14 | [
[
"Manvelyan",
"Ruben",
""
],
[
"Poghosyan",
"Gabriel",
""
]
] | We construct all possible Weyl invariant actions in $d=4$ for linearized spin three field in a general gravitational background. The first action is obtained as the square of the generalized Weyl tensor for a spin three gauge field in nonlinear gravitational background. It is, however, not invariant under spin three gauge transformations. We then construct two other nontrivial Weyl but not gauge invariant actions which are linear in the Weyl tensor of the background geometry. We then discuss existence and uniqueness of a possible linear combination of these three actions which is gauge invariant. We do this at the linear order in the background curvature for Ricci flat backgrounds. |
2305.03304 | Albert Schwarz | Igor Frolov, Albert Schwarz | Functional integrals in geometric approach to quantum theory | 17 pages | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | In quantum mechanics, one can express the evolution operator and other
quantities in terms of functional integrals. The main goal of this paper is to
prove corresponding results in the geometric approach to quantum theory. We
apply these results to the formalism of L-functionals.
| [
{
"created": "Fri, 5 May 2023 06:11:52 GMT",
"version": "v1"
}
] | 2023-05-08 | [
[
"Frolov",
"Igor",
""
],
[
"Schwarz",
"Albert",
""
]
] | In quantum mechanics, one can express the evolution operator and other quantities in terms of functional integrals. The main goal of this paper is to prove corresponding results in the geometric approach to quantum theory. We apply these results to the formalism of L-functionals. |
hep-th/9410078 | null | J. Gamboa | A Model of Two-Dimensional Quantum Gravity in the Strong Coupling Regime | 10pp., Revtex, Si/94/06 | Phys.Rev.Lett.74:1900-1903,1995 | 10.1103/PhysRevLett.74.1900 | null | hep-th gr-qc | null | A model of two-dimensional quantum gravity that is the analog of the
tensionless string is proposed. The gravitational constant ($k$) is the analog
of the Regge slope ($\alpha^{'}$) and it shows that when $k \rightarrow
\infty$, $2D$ quantum gravity can be understood as a tensionless string theory
embeded in a two-dimensional target space. The temporal coordinate of the
target space play the role of time and the wave function can be interpreted as
in standard quantum mechanics.
| [
{
"created": "Tue, 11 Oct 1994 13:13:58 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Gamboa",
"J.",
""
]
] | A model of two-dimensional quantum gravity that is the analog of the tensionless string is proposed. The gravitational constant ($k$) is the analog of the Regge slope ($\alpha^{'}$) and it shows that when $k \rightarrow \infty$, $2D$ quantum gravity can be understood as a tensionless string theory embeded in a two-dimensional target space. The temporal coordinate of the target space play the role of time and the wave function can be interpreted as in standard quantum mechanics. |
hep-th/9203013 | T. R. Govindarajan | T.R.Govindarajan, R.Shankar, N.Shaji and M.Sivakumar | Is the $O(3)~\sigma$ Model with the Hopf Term Exactly Equivalent to a
Higher Spin Theory? | 11 pages | Phys.Rev.Lett. 69 (1992) 721-724 | 10.1103/PhysRevLett.69.721 | null | hep-th | null | We write down a local $CP_1$ model involving two gauge fields, which is
exactly equivalent to the O(3) $\sigma$ model with the Hopf term. We impose the
$CP_1$ constraint by using the gaussian representation of the delta function.
For the coefficient of the Hopf term, $\theta = {\pi \over 2s}$, 2s being an
integer, we show that the resulting model is exactly equivalent to an
interacting theory of spin-$s$ fields. Thus we conjecture that there should be
a fixed point in the spin-$s$ theory near which it is exactly equal to the
$\sigma$ model.
| [
{
"created": "Mon, 2 Mar 1992 18:01:58 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Govindarajan",
"T. R.",
""
],
[
"Shankar",
"R.",
""
],
[
"Shaji",
"N.",
""
],
[
"Sivakumar",
"M.",
""
]
] | We write down a local $CP_1$ model involving two gauge fields, which is exactly equivalent to the O(3) $\sigma$ model with the Hopf term. We impose the $CP_1$ constraint by using the gaussian representation of the delta function. For the coefficient of the Hopf term, $\theta = {\pi \over 2s}$, 2s being an integer, we show that the resulting model is exactly equivalent to an interacting theory of spin-$s$ fields. Thus we conjecture that there should be a fixed point in the spin-$s$ theory near which it is exactly equal to the $\sigma$ model. |
1005.1822 | Andreas Wipf | Ivo Sachs and Andreas Wipf | Finite Temperature Schwinger Model | Pre-arXiv article from 1991, 22 pages | Helv.Phys.Acta 65:652-678,1992 | null | ETH-TH/91-15 | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The temperature dependence of the order parameter of the Schwinger model is
calculated in the euclidean functional integral approach. For that we solve the
model on a finite torus and let the spatial extension tend to infinity at the
end of the computations. The induced actions, fermionic zero-modes, relevant
Green functions and Wilson loop correlators on the torus are derived. We find
the analytic form of the chiral condensate for any temperature and in
particular show that it behaves like \< \bar\Psi\Psi \> \sim -2
T\exp(-\pi\sqrt{\pi}T/e) for temperatures large compared to the induced photon
mass.
| [
{
"created": "Tue, 11 May 2010 12:59:30 GMT",
"version": "v1"
}
] | 2011-02-09 | [
[
"Sachs",
"Ivo",
""
],
[
"Wipf",
"Andreas",
""
]
] | The temperature dependence of the order parameter of the Schwinger model is calculated in the euclidean functional integral approach. For that we solve the model on a finite torus and let the spatial extension tend to infinity at the end of the computations. The induced actions, fermionic zero-modes, relevant Green functions and Wilson loop correlators on the torus are derived. We find the analytic form of the chiral condensate for any temperature and in particular show that it behaves like \< \bar\Psi\Psi \> \sim -2 T\exp(-\pi\sqrt{\pi}T/e) for temperatures large compared to the induced photon mass. |
2407.09448 | Pierre Vanhove | Stavros Mougiakakos and Pierre Vanhove | Schwarzschild geodesics from Scattering Amplitudes to all orders in
$G_N$ | 11 pages | null | null | IPHT-t24/012 | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | The dynamics of the leading self-force (0SF) order, corresponding to the
geodesic motion of a light body in the exact background of a heavy body, are
explicitly derived for the first time using a flat space scattering
amplitude-based approach. This is achieved by utilising the cubic formulation
of Einstein's general relativity coupled to the effective worldline action of
massive point particles, which was employed to derive the Schwarzschild black
hole metric in arXiv:2405.14421.
| [
{
"created": "Fri, 12 Jul 2024 17:33:34 GMT",
"version": "v1"
}
] | 2024-07-15 | [
[
"Mougiakakos",
"Stavros",
""
],
[
"Vanhove",
"Pierre",
""
]
] | The dynamics of the leading self-force (0SF) order, corresponding to the geodesic motion of a light body in the exact background of a heavy body, are explicitly derived for the first time using a flat space scattering amplitude-based approach. This is achieved by utilising the cubic formulation of Einstein's general relativity coupled to the effective worldline action of massive point particles, which was employed to derive the Schwarzschild black hole metric in arXiv:2405.14421. |
2212.05649 | Dine Ousmane Samary | Vincent Lahoche, Dine Ousmane Samary, Mohamed Tamaazousti | Functional renormalization group for multilinear disordered Langevin
dynamics II: Revisiting the $p=2\,$ spin dynamics for Wigner and Wishart
ensembles | 66 pages, 31 figures | 2023 J. Phys. Commun | 10.1088/2399-6528/acd09d | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we investigate the large-time behavior for a slightly modified
version of the standard p=2 soft spins dynamics model, including a quartic or
higher potential. The equilibrium states of such a model correspond to an
effective field theory, which has been recently considered as a novel paradigm
for signal detection in data science based on the renormalization group
argument. We consider a Langevin-like equation, including a disorder term that
leaves in the Wigner or Wishart ensemble. Then we construct a nonperturbative
renormalization group formalism valid in the large N limit, where eigenvalues
distributions for the disorder can be replaced by their analytic limits, namely
the Wigner and Marchenko-Pastur laws. One of the main advantages of this
approach is that the interactions remain local in time, avoiding the
non-locality arising from the approaches that integrate out the disorder at the
partition function level.
| [
{
"created": "Mon, 12 Dec 2022 01:27:05 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Jan 2023 15:15:38 GMT",
"version": "v2"
}
] | 2023-05-25 | [
[
"Lahoche",
"Vincent",
""
],
[
"Samary",
"Dine Ousmane",
""
],
[
"Tamaazousti",
"Mohamed",
""
]
] | In this paper, we investigate the large-time behavior for a slightly modified version of the standard p=2 soft spins dynamics model, including a quartic or higher potential. The equilibrium states of such a model correspond to an effective field theory, which has been recently considered as a novel paradigm for signal detection in data science based on the renormalization group argument. We consider a Langevin-like equation, including a disorder term that leaves in the Wigner or Wishart ensemble. Then we construct a nonperturbative renormalization group formalism valid in the large N limit, where eigenvalues distributions for the disorder can be replaced by their analytic limits, namely the Wigner and Marchenko-Pastur laws. One of the main advantages of this approach is that the interactions remain local in time, avoiding the non-locality arising from the approaches that integrate out the disorder at the partition function level. |
2002.10331 | Yuki Yokokura | Hikaru Kawai, Yuki Yokokura | Black Hole as a Quantum Field Configuration | ver4: We added a new paragraph to Sec.2.1. and made Appendix B | Universe 2020, 6(6), 77 | 10.3390/universe6060077 | RIKEN-iTHEMS-Report-20 | hep-th astro-ph.HE gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe 4D evaporating black holes as quantum field configurations by
solving the semi-classical Einstein equation $G_{\mu\nu}=8\pi G \langle
\psi|T_{\mu\nu}|\psi \rangle$ and quantum matter fields in a self-consistent
manner. As the matter fields we consider $N$ massless free scalar fields ($N$
is large). We find a spherically symmetric self-consistent solution of the
metric $g_{\mu\nu}$ and state $|\psi\rangle$. Here, $g_{\mu\nu}$ is locally
$AdS_2\times S^2$ geometry, and $|\psi\rangle$ provides $\langle
\psi|T_{\mu\nu}|\psi \rangle=\langle0|T_{\mu\nu}|0
\rangle+T_{\mu\nu}^{(\psi)}$, where $|0\rangle$ is the ground state of the
matter fields in the metric and $T_{\mu\nu}^{(\psi)}$ consists of the
excitation of s-waves that describe the collapsing matter and Hawking radiation
with the ingoing negative energy flow. This object is supported by a large
tangential pressure $\langle0|T^\theta{}_\theta|0 \rangle$ due to the vacuum
fluctuation of the bound modes with large angular momenta. This describes the
interior of the black hole when the back reaction of the evaporation is
considered. The black hole is a compact object with a surface (instead of
horizon) that looks like a conventional black hole from the outside and
eventually evaporates without a singularity. If we count the number of
self-consistent configurations $\{|\psi\rangle\}$, we reproduce the area law of
the entropy. This tells that the information is carried by the s-waves inside
the black hole. $|\psi\rangle$ also describes the process that the negative
ingoing energy flow created with Hawking radiation is superposed on the
collapsing matter to decrease the total energy while the total energy density
remains positive. As a special case, we consider conformal matter fields and
show that the interior metric is determined by the matter content of the
theory, which leads to a new constraint to the matter content.
| [
{
"created": "Mon, 24 Feb 2020 16:00:26 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Mar 2020 16:51:53 GMT",
"version": "v2"
},
{
"created": "Thu, 14 May 2020 08:55:33 GMT",
"version": "v3"
},
{
"created": "Thu, 4 Jun 2020 12:46:58 GMT",
"version": "v4"
}
] | 2020-06-05 | [
[
"Kawai",
"Hikaru",
""
],
[
"Yokokura",
"Yuki",
""
]
] | We describe 4D evaporating black holes as quantum field configurations by solving the semi-classical Einstein equation $G_{\mu\nu}=8\pi G \langle \psi|T_{\mu\nu}|\psi \rangle$ and quantum matter fields in a self-consistent manner. As the matter fields we consider $N$ massless free scalar fields ($N$ is large). We find a spherically symmetric self-consistent solution of the metric $g_{\mu\nu}$ and state $|\psi\rangle$. Here, $g_{\mu\nu}$ is locally $AdS_2\times S^2$ geometry, and $|\psi\rangle$ provides $\langle \psi|T_{\mu\nu}|\psi \rangle=\langle0|T_{\mu\nu}|0 \rangle+T_{\mu\nu}^{(\psi)}$, where $|0\rangle$ is the ground state of the matter fields in the metric and $T_{\mu\nu}^{(\psi)}$ consists of the excitation of s-waves that describe the collapsing matter and Hawking radiation with the ingoing negative energy flow. This object is supported by a large tangential pressure $\langle0|T^\theta{}_\theta|0 \rangle$ due to the vacuum fluctuation of the bound modes with large angular momenta. This describes the interior of the black hole when the back reaction of the evaporation is considered. The black hole is a compact object with a surface (instead of horizon) that looks like a conventional black hole from the outside and eventually evaporates without a singularity. If we count the number of self-consistent configurations $\{|\psi\rangle\}$, we reproduce the area law of the entropy. This tells that the information is carried by the s-waves inside the black hole. $|\psi\rangle$ also describes the process that the negative ingoing energy flow created with Hawking radiation is superposed on the collapsing matter to decrease the total energy while the total energy density remains positive. As a special case, we consider conformal matter fields and show that the interior metric is determined by the matter content of the theory, which leads to a new constraint to the matter content. |
1206.5970 | Freddy Cachazo | Freddy Cachazo | Fundamental BCJ Relation in N=4 SYM From The Connected Formulation | 7 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Tree-level amplitudes in N=4 SYM can be decomposed into partial or
color-ordered amplitudes. Identities relating various partial amplitudes have
been known since the 80's. They are Kleiss-Kuijf (KK) identities. In 2008,
Bern, Carrasco and Johansson (BCJ) introduced a new set of identities which
reduce the number of independent partial amplitudes to (n-3)!. In recent years,
several formulations for partial amplitudes have been discovered and shown to
be equivalent to each other. These can be thought of as simple dualities in the
sense that different formulations make manifest different properties of the
same object; the amplitude. One such formulation is the ACCK Grassmannian
formulation which makes Yangian invariance of individual partial amplitudes
manifest. A different formulation is the so-called connected formula introduced
by Witten in twistor space and formulated in momentum space by Roiban, Spradlin
and Volovich. It has been argued that the connected formula is ideal for
studying properties which are related to the full amplitude, such as the KK
relations, and not to particular partial amplitudes, like Yangian invariance.
Following this logic, it is very natural to expect that the BCJ identities
should have a very simple proof in the connected formulation. In this short
note we show that this is indeed the case.
| [
{
"created": "Tue, 26 Jun 2012 12:38:09 GMT",
"version": "v1"
}
] | 2012-06-27 | [
[
"Cachazo",
"Freddy",
""
]
] | Tree-level amplitudes in N=4 SYM can be decomposed into partial or color-ordered amplitudes. Identities relating various partial amplitudes have been known since the 80's. They are Kleiss-Kuijf (KK) identities. In 2008, Bern, Carrasco and Johansson (BCJ) introduced a new set of identities which reduce the number of independent partial amplitudes to (n-3)!. In recent years, several formulations for partial amplitudes have been discovered and shown to be equivalent to each other. These can be thought of as simple dualities in the sense that different formulations make manifest different properties of the same object; the amplitude. One such formulation is the ACCK Grassmannian formulation which makes Yangian invariance of individual partial amplitudes manifest. A different formulation is the so-called connected formula introduced by Witten in twistor space and formulated in momentum space by Roiban, Spradlin and Volovich. It has been argued that the connected formula is ideal for studying properties which are related to the full amplitude, such as the KK relations, and not to particular partial amplitudes, like Yangian invariance. Following this logic, it is very natural to expect that the BCJ identities should have a very simple proof in the connected formulation. In this short note we show that this is indeed the case. |
1009.1126 | Albrecht Klemm | Min-xin Huang and Albrecht Klemm | Direct integration for general Omega backgrounds | 37 pages, 2 pstex figures | null | null | Bonn-TH-10-06 IMPU10-0153 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend the direct integration method of the holomorphic anomaly equations
to general Omega backgrounds for pure SU(2) N=2 Super-Yang-Mills theory and
topological string theory on non-compact Calabi-Yau threefolds. We find that an
extension of the holomorphic anomaly equation, modularity and boundary
conditions provided by the perturbative terms as well as by the gap condition
at the conifold are sufficient to solve the generalized theory in the above
cases. In particular we use the method to solve the topological string for the
general Omega backgrounds on non-compact toric Calabi-Yau spaces. The conifold
boundary condition follows from that the N=2 Schwinger-Loop calculation with
BPS states coupled to a self-dual and an anti-self-dual field strength. We
calculate such BPS states also for the decompactification limit of Calabi-Yau
spaces with regular K3 fibrations and half K3s embedded in Calabi-Yau
backgrounds.
| [
{
"created": "Mon, 6 Sep 2010 18:51:12 GMT",
"version": "v1"
}
] | 2010-09-07 | [
[
"Huang",
"Min-xin",
""
],
[
"Klemm",
"Albrecht",
""
]
] | We extend the direct integration method of the holomorphic anomaly equations to general Omega backgrounds for pure SU(2) N=2 Super-Yang-Mills theory and topological string theory on non-compact Calabi-Yau threefolds. We find that an extension of the holomorphic anomaly equation, modularity and boundary conditions provided by the perturbative terms as well as by the gap condition at the conifold are sufficient to solve the generalized theory in the above cases. In particular we use the method to solve the topological string for the general Omega backgrounds on non-compact toric Calabi-Yau spaces. The conifold boundary condition follows from that the N=2 Schwinger-Loop calculation with BPS states coupled to a self-dual and an anti-self-dual field strength. We calculate such BPS states also for the decompactification limit of Calabi-Yau spaces with regular K3 fibrations and half K3s embedded in Calabi-Yau backgrounds. |
2010.13772 | Vitaly Velizhanin | B.A. Kniehl and V.N. Velizhanin | Non-planar cusp and transcendental anomalous dimension at four loops in
N=4 supersymmetric Yang-Mills theory | 6 pages, 1 figure, minor changes, reference added, accepted for
publication in Phys. Rev. Lett | Phys. Rev. Lett. 126, 061603 (2021) | 10.1103/PhysRevLett.126.061603 | DESY~20--033 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the nonplanar contribution to the universal anomalous dimension of
the SU(4)-singlet twist-two operators in N=4 supersymmetric Yang-Mills theory
at four loops through Lorentz spin 18. From this, we numerically evaluate the
nonplanar contribution to the four-loop lightlike cusp anomalous dimension and
derive the transcendental $\zeta_3$ and $\zeta_5$ parts of the universal
anomalous dimension for arbitrary Lorentz spin in analytic form. As for the
lightlike cusp anomalous dimension and the $\zeta_5$ part of the universal
anomalous dimension, we confirm previous results.
| [
{
"created": "Mon, 26 Oct 2020 17:58:00 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Feb 2021 11:03:53 GMT",
"version": "v2"
}
] | 2021-02-17 | [
[
"Kniehl",
"B. A.",
""
],
[
"Velizhanin",
"V. N.",
""
]
] | We compute the nonplanar contribution to the universal anomalous dimension of the SU(4)-singlet twist-two operators in N=4 supersymmetric Yang-Mills theory at four loops through Lorentz spin 18. From this, we numerically evaluate the nonplanar contribution to the four-loop lightlike cusp anomalous dimension and derive the transcendental $\zeta_3$ and $\zeta_5$ parts of the universal anomalous dimension for arbitrary Lorentz spin in analytic form. As for the lightlike cusp anomalous dimension and the $\zeta_5$ part of the universal anomalous dimension, we confirm previous results. |
1604.08786 | Jakub Gizbert-Studnicki | Jan Ambjorn, Zbigniew Drogosz, Jakub Gizbert-Studnicki, Andrzej
Goerlich, Jerzy Jurkiewicz and Daniel Nemeth | Impact of topology in causal dynamical triangulations quantum gravity | 22 pages, 10 figures | Phys. Rev. D 94, 044010 (2016) | 10.1103/PhysRevD.94.044010 | null | hep-th gr-qc hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the impact of spatial topology in 3+1 dimensional causal
dynamical triangulations (CDT) by performing numerical simulations with
toroidal spatial topology instead of the previously used spherical topology. In
the case of spherical spatial topology we observed in the so-called phase C an
average spatial volume distribution n(t) which after a suitable time
redefinition could be identified as the spatial volume distribution of the
four-sphere. Imposing toroidal spatial topology we find that the average
spatial volume distribution n(t) is constant. By measuring the covariance
matrix of spatial volume fluctuations we determine the form of the effective
action. The difference compared to the spherical case is that the effective
potential has changed such that it allows a constant average n(t). This is what
we observe and this is what one would expect from a minisuperspace GR action
where only the scale factor is kept as dynamical variable. Although no
background geometry is put in by hand, the full quantum theory of CDT is also
with toroidal spatial toplogy able to identify a classical background geometry
around which there are well defined quantum fluctuations.
| [
{
"created": "Fri, 29 Apr 2016 12:04:26 GMT",
"version": "v1"
},
{
"created": "Fri, 6 May 2016 15:27:22 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Jul 2016 19:59:02 GMT",
"version": "v3"
}
] | 2016-08-17 | [
[
"Ambjorn",
"Jan",
""
],
[
"Drogosz",
"Zbigniew",
""
],
[
"Gizbert-Studnicki",
"Jakub",
""
],
[
"Goerlich",
"Andrzej",
""
],
[
"Jurkiewicz",
"Jerzy",
""
],
[
"Nemeth",
"Daniel",
""
]
] | We investigate the impact of spatial topology in 3+1 dimensional causal dynamical triangulations (CDT) by performing numerical simulations with toroidal spatial topology instead of the previously used spherical topology. In the case of spherical spatial topology we observed in the so-called phase C an average spatial volume distribution n(t) which after a suitable time redefinition could be identified as the spatial volume distribution of the four-sphere. Imposing toroidal spatial topology we find that the average spatial volume distribution n(t) is constant. By measuring the covariance matrix of spatial volume fluctuations we determine the form of the effective action. The difference compared to the spherical case is that the effective potential has changed such that it allows a constant average n(t). This is what we observe and this is what one would expect from a minisuperspace GR action where only the scale factor is kept as dynamical variable. Although no background geometry is put in by hand, the full quantum theory of CDT is also with toroidal spatial toplogy able to identify a classical background geometry around which there are well defined quantum fluctuations. |
1807.07451 | Eoin \'O Colg\'ain | Eoin \'O Colg\'ain, Maurice H. P. M. van Putten, Hossein Yavartanoo | de Sitter Swampland, $H_0$ tension & observation | v1 4 pages, comments welcome; v2 replacing mistakenly uploaded
unfinished version; v3 arguments revised; v4; v5 matches published version,
further changes outcome of the review process | null | 10.1016/j.physletb.2019.04.032 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Realising de Sitter vacua in string theory is challenging. For this reason it
has been conjectured that de Sitter vacua inhabit the Swampland of inconsistent
low-energy effective theories coupled to gravity. Since de Sitter is an
attractor for $\Lambda$CDM, the conjecture calls $\Lambda$CDM into question.
Reality appears sympathetic to this idea as local measurements of the Hubble
constant $H_0$ are also at odds with $\Lambda$CDM analysis of Planck data. This
tension suggests that the de Sitter state is unstable, thereby implying a
turning point in the Hubble parameter. We present a model relieving this
tension, which predicts a turning at small positive redshift $z_*$ that is
dictated by present-day matter density $\omega_m$. This feature is easily
identified by homogeneous surveys covering redshifts $z \leq 0.1$. We comment
on the implications for the Swampland program.
| [
{
"created": "Thu, 19 Jul 2018 14:09:51 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Jul 2018 00:44:41 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Aug 2018 12:16:20 GMT",
"version": "v3"
},
{
"created": "Mon, 5 Nov 2018 08:45:40 GMT",
"version": "v4"
},
{
"cre... | 2019-04-24 | [
[
"Colgáin",
"Eoin Ó",
""
],
[
"van Putten",
"Maurice H. P. M.",
""
],
[
"Yavartanoo",
"Hossein",
""
]
] | Realising de Sitter vacua in string theory is challenging. For this reason it has been conjectured that de Sitter vacua inhabit the Swampland of inconsistent low-energy effective theories coupled to gravity. Since de Sitter is an attractor for $\Lambda$CDM, the conjecture calls $\Lambda$CDM into question. Reality appears sympathetic to this idea as local measurements of the Hubble constant $H_0$ are also at odds with $\Lambda$CDM analysis of Planck data. This tension suggests that the de Sitter state is unstable, thereby implying a turning point in the Hubble parameter. We present a model relieving this tension, which predicts a turning at small positive redshift $z_*$ that is dictated by present-day matter density $\omega_m$. This feature is easily identified by homogeneous surveys covering redshifts $z \leq 0.1$. We comment on the implications for the Swampland program. |
2211.04596 | Hajime Otsuka | Tatsuo Kobayashi, Hajime Otsuka, Makoto Sakamoto, Maki Takeuchi,
Yoshiyuki Tatsuta, Hikaru Uchida | Zero-mode wave functions by localized gauge fluxes | 22 pages, 3 figures | null | null | EPHOU-22-020, KYUSHU-HET-250, KOBE-TH-22-06 | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We study chiral zero-mode wave functions on blow-up manifolds of $T^2/Z_N$
orbifolds with both bulk and localized magnetic flux backgrounds. We introduce
a singular gauge transformation in order to remove $Z_N$ phases for $Z_N$
twisted boundary condition of matter fields. We compute wave functions of not
only bulk zero modes but also localized modes at the orbifold singular points,
which correspond to new zero modes induced by localized flux. By studying their
Yukawa couplings, it turns out that only three patterns of Yukawa couplings are
allowed. Our theory has a specific coupling selection rule.
| [
{
"created": "Tue, 8 Nov 2022 22:34:43 GMT",
"version": "v1"
}
] | 2022-11-10 | [
[
"Kobayashi",
"Tatsuo",
""
],
[
"Otsuka",
"Hajime",
""
],
[
"Sakamoto",
"Makoto",
""
],
[
"Takeuchi",
"Maki",
""
],
[
"Tatsuta",
"Yoshiyuki",
""
],
[
"Uchida",
"Hikaru",
""
]
] | We study chiral zero-mode wave functions on blow-up manifolds of $T^2/Z_N$ orbifolds with both bulk and localized magnetic flux backgrounds. We introduce a singular gauge transformation in order to remove $Z_N$ phases for $Z_N$ twisted boundary condition of matter fields. We compute wave functions of not only bulk zero modes but also localized modes at the orbifold singular points, which correspond to new zero modes induced by localized flux. By studying their Yukawa couplings, it turns out that only three patterns of Yukawa couplings are allowed. Our theory has a specific coupling selection rule. |
2303.02663 | Valerio Faraoni | Shin'ichi Nojiri, Sergei D. Odintsov, Valerio Faraoni | Generalized black hole entropy in two dimensions | 12 pages, latex, to appear in Int. J. Geom. Meth. Mod. Phys | null | 10.1142/S0219887823501487 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Bekenstein-Hawking entropy of a black hole is proportional to its horizon
area, hence in $D=2$ spacetime dimensions it is constant because the horizon
degenerates into two points. This fact is consistent with Einstein's gravity
becoming topological in two dimensions. In $F(R)$ gravity, which is non-trivial
even in $D=2$, we find that the entropy is constant, as for Bekenstein-Hawking.
As shown in EPL 139 (2022) no.6, 69001 (arXiv:2208.10146), two-dimensional
$F(R)$ gravity is equivalent to Jackiw-Teitelboim gravity, in turn equivalent
to the Sachdev-Ye-Kitaev model where the entropy becomes constant in the large
$N$ limit. Several recently proposed entropies are functions of the
Bekenstein-Hawking entropy and become constant in $D=2$, but in two-dimensional
dilaton gravity entropies are not always constant. We study general dilaton
gravity and obtain arbitrary static black hole solutions for which the
non-constant entropies depend on the mass, horizon radius, or Hawking
temperature, and constitute new proposals for a generalized entropy.
| [
{
"created": "Sun, 5 Mar 2023 13:03:06 GMT",
"version": "v1"
}
] | 2023-07-26 | [
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
],
[
"Faraoni",
"Valerio",
""
]
] | The Bekenstein-Hawking entropy of a black hole is proportional to its horizon area, hence in $D=2$ spacetime dimensions it is constant because the horizon degenerates into two points. This fact is consistent with Einstein's gravity becoming topological in two dimensions. In $F(R)$ gravity, which is non-trivial even in $D=2$, we find that the entropy is constant, as for Bekenstein-Hawking. As shown in EPL 139 (2022) no.6, 69001 (arXiv:2208.10146), two-dimensional $F(R)$ gravity is equivalent to Jackiw-Teitelboim gravity, in turn equivalent to the Sachdev-Ye-Kitaev model where the entropy becomes constant in the large $N$ limit. Several recently proposed entropies are functions of the Bekenstein-Hawking entropy and become constant in $D=2$, but in two-dimensional dilaton gravity entropies are not always constant. We study general dilaton gravity and obtain arbitrary static black hole solutions for which the non-constant entropies depend on the mass, horizon radius, or Hawking temperature, and constitute new proposals for a generalized entropy. |
hep-th/0306013 | Giovanni Amelino-Camelia | Alessandra Agostini, Giovanni Amelino-Camelia, Francesco D'Andrea | Hopf-algebra description of noncommutative-spacetime symmetries | 20 pages, no figures, LaTex. This version has exactly the same
technical content as version 1, but the observation reported in Section VII
is discussed more pedagogically | Int.J.Mod.Phys. A19 (2004) 5187-5220 | 10.1142/S0217751X04020919 | null | hep-th gr-qc hep-ph | null | In the study of certain noncommutative versions of Minkowski spacetime there
is still a large ambiguity concerning the characterization of their symmetries.
Adopting as our case study the kappaMinkowski noncommutative space-time, on
which a large literature is already available, we propose a line of analysis of
noncommutative-spacetime symmetries that relies on the introduction of a Weyl
map (connecting a given function in the noncommutative Minkowski with a
corresponding function in commutative Minkowski) and of a compatible notion of
integration in the noncommutative spacetime. We confirm (and we establish more
robustly) previous suggestions that the commutative-spacetime notion of
Lie-algebra symmetries must be replaced, in the noncommutative-spacetime
context, by the one of Hopf-algebra symmetries. We prove that in kappaMinkowski
it is possible to construct an action which is invariant under a Poincare-like
Hopf algebra of symmetries with 10 generators, in which the noncommutativity
length scale has the role of relativistic invariant. The approach here adopted
does leave one residual ambiguity, which pertains to the description of the
translation generators, but our results, independently of this ambiguity, are
sufficient to clarify that some recent studies (gr-qc/0212128 and
hep-th/0301061), which argued for an operational indistiguishability between
theories with and without a length-scale relativistic invariant, implicitly
assumed that the underlying spacetime would be classical.
| [
{
"created": "Tue, 3 Jun 2003 01:50:36 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Jun 2003 01:53:47 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Agostini",
"Alessandra",
""
],
[
"Amelino-Camelia",
"Giovanni",
""
],
[
"D'Andrea",
"Francesco",
""
]
] | In the study of certain noncommutative versions of Minkowski spacetime there is still a large ambiguity concerning the characterization of their symmetries. Adopting as our case study the kappaMinkowski noncommutative space-time, on which a large literature is already available, we propose a line of analysis of noncommutative-spacetime symmetries that relies on the introduction of a Weyl map (connecting a given function in the noncommutative Minkowski with a corresponding function in commutative Minkowski) and of a compatible notion of integration in the noncommutative spacetime. We confirm (and we establish more robustly) previous suggestions that the commutative-spacetime notion of Lie-algebra symmetries must be replaced, in the noncommutative-spacetime context, by the one of Hopf-algebra symmetries. We prove that in kappaMinkowski it is possible to construct an action which is invariant under a Poincare-like Hopf algebra of symmetries with 10 generators, in which the noncommutativity length scale has the role of relativistic invariant. The approach here adopted does leave one residual ambiguity, which pertains to the description of the translation generators, but our results, independently of this ambiguity, are sufficient to clarify that some recent studies (gr-qc/0212128 and hep-th/0301061), which argued for an operational indistiguishability between theories with and without a length-scale relativistic invariant, implicitly assumed that the underlying spacetime would be classical. |
1101.0668 | Piotr Korcyl | Piotr Korcyl | Analytic calculation of Witten index in D=2 supersymmetric Yang-Mills
quantum mechanics | 21 pages, 5 figures | null | 10.1063/1.4748524 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a method for the evaluation of Witten index in D=2 supersymmetric
Yang-Mills quantum mechanics. We rederive a known result for the SU(2) gauge
group and generalize it to any SU(N) gauge group.
| [
{
"created": "Tue, 4 Jan 2011 07:33:12 GMT",
"version": "v1"
}
] | 2015-05-20 | [
[
"Korcyl",
"Piotr",
""
]
] | We propose a method for the evaluation of Witten index in D=2 supersymmetric Yang-Mills quantum mechanics. We rederive a known result for the SU(2) gauge group and generalize it to any SU(N) gauge group. |
0901.0506 | Chanju Kim | Chanju Kim, Eunkyung Koh, Ki-Myeong Lee | Janus and Multifaced Supersymmetric Theories II | 23 pages, section 6 extended to the most general case, version
published in PRD | Phys.Rev.D79:126013,2009 | 10.1103/PhysRevD.79.126013 | KIAS-P09001 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the physics of supersymmetric Janus gauge theories in four
dimension with spatial dependent coupling constants, e^2 and theta. For the 8
supersymmetric case, we study the vacuum and BPS spectrum, and the physics of a
sharp interface where the couple constants jump. We also find less
supersymmetric cases either due to additional expressions in the Lagrangian or
to the fact that coupling constants depend on additional spatial coordinates.
| [
{
"created": "Mon, 5 Jan 2009 16:56:06 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Jan 2009 12:28:54 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Jun 2009 14:39:42 GMT",
"version": "v3"
}
] | 2009-06-30 | [
[
"Kim",
"Chanju",
""
],
[
"Koh",
"Eunkyung",
""
],
[
"Lee",
"Ki-Myeong",
""
]
] | We explore the physics of supersymmetric Janus gauge theories in four dimension with spatial dependent coupling constants, e^2 and theta. For the 8 supersymmetric case, we study the vacuum and BPS spectrum, and the physics of a sharp interface where the couple constants jump. We also find less supersymmetric cases either due to additional expressions in the Lagrangian or to the fact that coupling constants depend on additional spatial coordinates. |
2310.15176 | Euro Spallucci | Euro Spallucci, Anais Smailagic | The Cornell black hole | 14 pages, 5 figures. In print in Physical.Lett. B | null | null | null | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | The Cornell potential can be derived from a recently proposed non-local
extension of Abelian electrodynamics. Non-locality can be alternatively
described by an extended charge distributions in Maxwell electrodynamics. We
state that in these models the energy momentum tensor necessarily requires the
presence of the interaction term between the field and the charge itself. We
show that this extended form of energy momentum tensor leads to an exact
solution of the Einstein equations describing a charged AdS black hole. We
refer to it as the "Cornell black hole"(CBH). Identifying the effective
cosmological constant with the pressure of Van der Waals fluid, we study the
gas-liquid phase transition and determine the critical parameters.
| [
{
"created": "Fri, 13 Oct 2023 14:25:32 GMT",
"version": "v1"
}
] | 2023-10-25 | [
[
"Spallucci",
"Euro",
""
],
[
"Smailagic",
"Anais",
""
]
] | The Cornell potential can be derived from a recently proposed non-local extension of Abelian electrodynamics. Non-locality can be alternatively described by an extended charge distributions in Maxwell electrodynamics. We state that in these models the energy momentum tensor necessarily requires the presence of the interaction term between the field and the charge itself. We show that this extended form of energy momentum tensor leads to an exact solution of the Einstein equations describing a charged AdS black hole. We refer to it as the "Cornell black hole"(CBH). Identifying the effective cosmological constant with the pressure of Van der Waals fluid, we study the gas-liquid phase transition and determine the critical parameters. |
1201.3051 | Aleksandr Zheltukhin | A. A. Zheltukhin | Generalized Hooke Law for Relativistic Membranes and p-branes | 8 pages; Talk given at the 3rd Int. Conference "Quantum
Electrodynamics and Statistical Physics" (QEDSP2011), August 29-September 2,
2011, Kharkov, Ukraine | Problems of Atomic Science and Technology, 2012, N 1., Series:
Nuclear Physics Investigations (57), p. 7-10 | null | NORDITA-2012-04 | hep-th astro-ph.CO cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The character of elastic forces of relativistic membranes and $p$-branes
encoded in their nonlinear equations is studied. The toroidal brane equations
are reduced to the classical equations of anharmonic elastic media described by
monomial potentials. Integrability of the equations is discussed and some of
their exact solutions are constructed.
| [
{
"created": "Sat, 14 Jan 2012 22:30:04 GMT",
"version": "v1"
}
] | 2012-01-24 | [
[
"Zheltukhin",
"A. A.",
""
]
] | The character of elastic forces of relativistic membranes and $p$-branes encoded in their nonlinear equations is studied. The toroidal brane equations are reduced to the classical equations of anharmonic elastic media described by monomial potentials. Integrability of the equations is discussed and some of their exact solutions are constructed. |
1903.10495 | Ruslan Metsaev | R.R. Metsaev | Light-cone continuous-spin field in AdS space | 12 pages, v2: Typos in text corrected. References added | null | 10.1016/j.physletb.2019.04.041 | FIAN-TD-2019-04 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop further the general light-cone gauge approach in AdS space and
apply it for studying continuous-spin field. For such field, we find light-cone
gauge Lagrangian and realization of relativistic symmetries. We find a simple
realization of spin operators entering our approach. Generalization of our
results to the gauge invariant Lagrangian formulation is also described. We
conjecture that, in the framework of AdS/CFT, the continuous-spin AdS field is
dual to light-ray conformal operator. For some particular cases, our
continuous-spin field leads to reducible models. We note two reducible models.
The first model consists of massive scalar, massless vector, and partial
continuous-spin field involving fields of all spins greater than one, while the
second model consists of massive vector, massless spin-2 field, and partial
continuous-spin field involving all fields of spins greater than two.
| [
{
"created": "Mon, 25 Mar 2019 17:51:56 GMT",
"version": "v1"
},
{
"created": "Wed, 1 May 2019 16:06:03 GMT",
"version": "v2"
}
] | 2019-05-22 | [
[
"Metsaev",
"R. R.",
""
]
] | We develop further the general light-cone gauge approach in AdS space and apply it for studying continuous-spin field. For such field, we find light-cone gauge Lagrangian and realization of relativistic symmetries. We find a simple realization of spin operators entering our approach. Generalization of our results to the gauge invariant Lagrangian formulation is also described. We conjecture that, in the framework of AdS/CFT, the continuous-spin AdS field is dual to light-ray conformal operator. For some particular cases, our continuous-spin field leads to reducible models. We note two reducible models. The first model consists of massive scalar, massless vector, and partial continuous-spin field involving fields of all spins greater than one, while the second model consists of massive vector, massless spin-2 field, and partial continuous-spin field involving all fields of spins greater than two. |
hep-th/9210028 | Hirosi Ooguri | Hirosi Ooguri | Schwinger-Dyson equation in three-dimensional simplicial quantum gravity | 32 pages, harvmac, HUTP-92/A051 | Prog.Theor.Phys.89:1-22,1993 | 10.1143/PTP.89.1 | null | hep-th | null | We study the simplicial quantum gravity in three dimensions. Motivated by the
Boulatov's model which generates a sum over simplicial complexes weighted with
the Turaev-Viro invariant, we introduce boundary operators in the simplicial
gravity associated to compact orientable surfaces. An amplitude of the boundary
operator is given by a sum over triangulations in the interior of the boundary
surface. It turns out that the amplitude solves the Schwinger-Dyson equation
even if we restrict the topology in the interior of the surface, as far as the
surface is non-degenerate. We propose a set of factorization conditions on the
amplitudes which singles out a solution associated to triangulations of $S^3$.
| [
{
"created": "Tue, 6 Oct 1992 15:39:32 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Ooguri",
"Hirosi",
""
]
] | We study the simplicial quantum gravity in three dimensions. Motivated by the Boulatov's model which generates a sum over simplicial complexes weighted with the Turaev-Viro invariant, we introduce boundary operators in the simplicial gravity associated to compact orientable surfaces. An amplitude of the boundary operator is given by a sum over triangulations in the interior of the boundary surface. It turns out that the amplitude solves the Schwinger-Dyson equation even if we restrict the topology in the interior of the surface, as far as the surface is non-degenerate. We propose a set of factorization conditions on the amplitudes which singles out a solution associated to triangulations of $S^3$. |
0910.5298 | Ta-Sheng Tai | Yutaka Baba and Ta-Sheng Tai | New Gauged Linear Sigma Models for 8D HyperKahler Manifolds and
Calabi-Yau Crystals | 20 pages, 1 figure; v2: minor changes and references added; v3:
statements improved, newer than JHEP version | JHEP 1002:006,2010 | 10.1007/JHEP02(2010)006 | RIKEN-TH-173 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose two kinds of gauged linear sigma models whose moduli spaces are
real eight-dimensional hyperKahler and Calabi-Yau manifolds, respectively.
Here, hyperKahler manifolds have sp(2) holonomy in general and are dual to Type
IIB (p,q)5-brane configurations. On the other hand, Calabi-Yau fourfolds are
toric varieties expressed as quotient spaces. Our model involving fourfolds is
different from the usual one which is directly related to a symplectic quotient
procedure. Remarkable features in newly-found three-dimensional
Chern-Simons-matter theories appear here as well, such as dynamical
Fayet-Iliopoulos parameters, one dualized photon and its residual discrete
gauge symmetry.
| [
{
"created": "Wed, 28 Oct 2009 07:12:58 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Nov 2009 14:08:59 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Feb 2010 08:40:07 GMT",
"version": "v3"
}
] | 2011-10-04 | [
[
"Baba",
"Yutaka",
""
],
[
"Tai",
"Ta-Sheng",
""
]
] | We propose two kinds of gauged linear sigma models whose moduli spaces are real eight-dimensional hyperKahler and Calabi-Yau manifolds, respectively. Here, hyperKahler manifolds have sp(2) holonomy in general and are dual to Type IIB (p,q)5-brane configurations. On the other hand, Calabi-Yau fourfolds are toric varieties expressed as quotient spaces. Our model involving fourfolds is different from the usual one which is directly related to a symplectic quotient procedure. Remarkable features in newly-found three-dimensional Chern-Simons-matter theories appear here as well, such as dynamical Fayet-Iliopoulos parameters, one dualized photon and its residual discrete gauge symmetry. |
hep-th/9909181 | Larisa Laperashvili | L. V. Laperashvili (ITEP, Moscow, Russia), H. B. Nielsen (NBI,
Copenhagen, Denmark) | Phase Transition Couplings in the Higgsed Monopole Model | 27 pages, 3 figures | null | null | null | hep-th | null | Using a one-loop approximation for the effective potential in the Higgs model
of electrodynamics for a charged scalar field, we argue for the existence of a
triple point for the renormalized (running) values of the selfinteraction
$\lambda$ and the "charge" g given by $(\lambda_{run}, g^2) = (-{10/9}
\pi^2,{4/3}\sqrt{{5/3}}{\pi^2}) \approx(-11, 17)$. Considering the
beta-function as a typical quantity we estimate that the one-loop approximation
is valid with accuracy of deviations not more than 30% in the region of the
parameters: $0.2 \stackrel{<}{\sim}{\large \alpha, \tilde{\alpha}}
\stackrel{<}{\sim}1.35.$ The phase diagram given in the present paper
corresponds to the above-mentioned region of $\alpha, \tilde \alpha$. Under the
point of view that the Higgs particle is a monopole with a magnetic charge g,
the obtained electric fine structure constant turns out to be
$\alpha_{crit}\approx{0.18_5}$ by the Dirac relation. This value is very close
to the $\alpha_{crit}^{lat}\approx{0.20}$ which in a U(1) lattice gauge theory
corresponds to the phase transition between the "Coulomb" and confinement
phases. Such a result is very encouraging for the idea of an approximate
"universality" (regularization independence) of gauge couplings at the phase
transition point. This idea was suggested by the authors in their earlier
papers.
| [
{
"created": "Fri, 24 Sep 1999 17:18:55 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Laperashvili",
"L. V.",
"",
"ITEP, Moscow, Russia"
],
[
"Nielsen",
"H. B.",
"",
"NBI,\n Copenhagen, Denmark"
]
] | Using a one-loop approximation for the effective potential in the Higgs model of electrodynamics for a charged scalar field, we argue for the existence of a triple point for the renormalized (running) values of the selfinteraction $\lambda$ and the "charge" g given by $(\lambda_{run}, g^2) = (-{10/9} \pi^2,{4/3}\sqrt{{5/3}}{\pi^2}) \approx(-11, 17)$. Considering the beta-function as a typical quantity we estimate that the one-loop approximation is valid with accuracy of deviations not more than 30% in the region of the parameters: $0.2 \stackrel{<}{\sim}{\large \alpha, \tilde{\alpha}} \stackrel{<}{\sim}1.35.$ The phase diagram given in the present paper corresponds to the above-mentioned region of $\alpha, \tilde \alpha$. Under the point of view that the Higgs particle is a monopole with a magnetic charge g, the obtained electric fine structure constant turns out to be $\alpha_{crit}\approx{0.18_5}$ by the Dirac relation. This value is very close to the $\alpha_{crit}^{lat}\approx{0.20}$ which in a U(1) lattice gauge theory corresponds to the phase transition between the "Coulomb" and confinement phases. Such a result is very encouraging for the idea of an approximate "universality" (regularization independence) of gauge couplings at the phase transition point. This idea was suggested by the authors in their earlier papers. |
2302.04279 | Carlos Perez-Pardavila | Carlos Perez-Pardavila | Entropy of Radiation with Dynamical Gravity | 26 pages + references, 15 figures; v2: corrected a sign error,
updated the corresponding figures and rewrote part of section 4.1, major
conclusions unchanged | null | 10.1007/JHEP05(2023)038 | UTWI-03-2023 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the subregion entanglement entropy for a doubly holographic black
string model. This system consists of a non-gravitating bath and a gravitating
brane, where we incorporate dynamic gravity by adding a DGP term. This opens up
a new parameter directly extending previous work and raises an important
question about unitarity. In this note we analyse which theories in this big
parameter space, will have unitary entropy evolution, in particular, we will
distinguish which of those will follow a Page curve.
| [
{
"created": "Wed, 8 Feb 2023 19:00:01 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Feb 2023 22:08:20 GMT",
"version": "v2"
}
] | 2023-05-24 | [
[
"Perez-Pardavila",
"Carlos",
""
]
] | We compute the subregion entanglement entropy for a doubly holographic black string model. This system consists of a non-gravitating bath and a gravitating brane, where we incorporate dynamic gravity by adding a DGP term. This opens up a new parameter directly extending previous work and raises an important question about unitarity. In this note we analyse which theories in this big parameter space, will have unitary entropy evolution, in particular, we will distinguish which of those will follow a Page curve. |
hep-th/9701009 | Sung-Kil Yang | T. Kitao, S. Terashima and S.-K. Yang | N=2 Curves and a Coulomb Phase in N=1 SUSY Gauge Theories with Adjoint
and Fundamental Matters | 12 pages, Latex, no figures | Phys.Lett. B399 (1997) 75-82 | 10.1016/S0370-2693(97)00261-X | UTHEP-356 | hep-th | null | We study low-energy effective superpotentials for the phase with a confined
photon in N=1 supersymmetric gauge theories with an adjoint matter $\Phi$ and
fundamental flavors $Q, \tilde Q$. Arbitrary classical gauge groups are
considered. The results are used to derive the hyperelliptic curves which
describe the Coulomb phase of N=2 supersymmetric QCD with classical gauge
groups. These curves are in agreement with those proposed earlier by several
authors. Our results also produce the curves relevant to describe the Coulomb
phase of N=1 theories with a superpotential of the form $\tilde{Q} \Phi^{l} Q$.
| [
{
"created": "Sat, 4 Jan 1997 01:56:52 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Kitao",
"T.",
""
],
[
"Terashima",
"S.",
""
],
[
"Yang",
"S. -K.",
""
]
] | We study low-energy effective superpotentials for the phase with a confined photon in N=1 supersymmetric gauge theories with an adjoint matter $\Phi$ and fundamental flavors $Q, \tilde Q$. Arbitrary classical gauge groups are considered. The results are used to derive the hyperelliptic curves which describe the Coulomb phase of N=2 supersymmetric QCD with classical gauge groups. These curves are in agreement with those proposed earlier by several authors. Our results also produce the curves relevant to describe the Coulomb phase of N=1 theories with a superpotential of the form $\tilde{Q} \Phi^{l} Q$. |
0707.1903 | Marcus Spradlin | Freddy Cachazo, Marcus Spradlin, Anastasia Volovich | Four-Loop Collinear Anomalous Dimension in N = 4 Yang-Mills Theory | 5 pages, 2 figures | Phys.Rev.D76:106004,2007 | 10.1103/PhysRevD.76.106004 | null | hep-th | null | We report a calculation in N = 4 Yang-Mills of the four-loop term g^4 in the
collinear anomalous dimension g(lambda) which governs the universal subleading
infrared structure of gluon scattering amplitudes. Using the method of
obstructions to extract this quantity from the 1/epsilon singularity in the
four-gluon iterative relation at four loops, we find g^4 = -1240.9 with an
estimated numerical uncertainty of 0.02%. We also analyze the implication of
our result for the strong coupling behavior of g(lambda), finding support for
the string theory prediction computed recently by Alday and Maldacena using
AdS/CFT.
| [
{
"created": "Thu, 12 Jul 2007 22:57:44 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Nov 2007 02:50:00 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Cachazo",
"Freddy",
""
],
[
"Spradlin",
"Marcus",
""
],
[
"Volovich",
"Anastasia",
""
]
] | We report a calculation in N = 4 Yang-Mills of the four-loop term g^4 in the collinear anomalous dimension g(lambda) which governs the universal subleading infrared structure of gluon scattering amplitudes. Using the method of obstructions to extract this quantity from the 1/epsilon singularity in the four-gluon iterative relation at four loops, we find g^4 = -1240.9 with an estimated numerical uncertainty of 0.02%. We also analyze the implication of our result for the strong coupling behavior of g(lambda), finding support for the string theory prediction computed recently by Alday and Maldacena using AdS/CFT. |
1904.01911 | Gustavo Joaquin Turiaci | Juan Maldacena, Gustavo J. Turiaci and Zhenbin Yang | Two dimensional Nearly de Sitter gravity | 66 pp, 15 figs; v2: ref added | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study some aspects of the de Sitter version of Jackiw-Teitelboim gravity.
Though we do not have propagating gravitons, we have a boundary mode when we
compute observables with a fixed dilaton and metric at the boundary. We compute
the no-boundary wavefunctions and probability measures to all orders in
perturbation theory. We also discuss contributions from different topologies,
borrowing recent results by Saad, Shenker and Stanford. We discuss how the
boundary mode leads to gravitational corrections to cosmological observables
when we add matter. Finally, starting from a four dimensional gravity theory
with a positive cosmological constant, we consider a nearly extremal black hole
and argue that some observables are dominated by the two dimensional nearly de
Sitter gravity dynamics.
| [
{
"created": "Wed, 3 Apr 2019 10:58:34 GMT",
"version": "v1"
},
{
"created": "Tue, 14 May 2019 23:15:25 GMT",
"version": "v2"
},
{
"created": "Wed, 11 Mar 2020 02:18:23 GMT",
"version": "v3"
}
] | 2020-03-12 | [
[
"Maldacena",
"Juan",
""
],
[
"Turiaci",
"Gustavo J.",
""
],
[
"Yang",
"Zhenbin",
""
]
] | We study some aspects of the de Sitter version of Jackiw-Teitelboim gravity. Though we do not have propagating gravitons, we have a boundary mode when we compute observables with a fixed dilaton and metric at the boundary. We compute the no-boundary wavefunctions and probability measures to all orders in perturbation theory. We also discuss contributions from different topologies, borrowing recent results by Saad, Shenker and Stanford. We discuss how the boundary mode leads to gravitational corrections to cosmological observables when we add matter. Finally, starting from a four dimensional gravity theory with a positive cosmological constant, we consider a nearly extremal black hole and argue that some observables are dominated by the two dimensional nearly de Sitter gravity dynamics. |
hep-th/9408035 | null | L. Bonora, Q.P. Liu and C.S. Xiong | The integrable hierarchy constructed from a pair of KdV-type hierarchies
and its associated $W$ algebra | 26p, latex, BONN--TH-94-17, SISSA-ISAS-118/94/EP, AS-ITP-94-43,
revised version with additions | Commun.Math.Phys. 175 (1996) 177-202 | 10.1007/BF02101629 | null | hep-th | null | For any two arbitrary positive integers `$n$' and `$m$', using the $m$--th
KdV hierarchy and the $(n+m)$--th KdV hierarchy as building blocks, we are able
to construct another integrable hierarchy (referred to as the $(n,m)$--th KdV
hierarchy). The $W$--algebra associated to the \shs\, of the $(n,m)$--th KdV
hierarchy (called $W(n,m)$ algebra) is isomorphic via a Miura map to the direct
sum of $W_m$--algebra, $W_{n+m}$--algebra and an additional $U(1)$ current
algebra. In turn, from the latter, we can always construct a representation of
$W_\infty$--algebra.
| [
{
"created": "Fri, 5 Aug 1994 17:37:41 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Aug 1994 15:26:04 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Sep 1994 15:53:13 GMT",
"version": "v3"
}
] | 2009-10-28 | [
[
"Bonora",
"L.",
""
],
[
"Liu",
"Q. P.",
""
],
[
"Xiong",
"C. S.",
""
]
] | For any two arbitrary positive integers `$n$' and `$m$', using the $m$--th KdV hierarchy and the $(n+m)$--th KdV hierarchy as building blocks, we are able to construct another integrable hierarchy (referred to as the $(n,m)$--th KdV hierarchy). The $W$--algebra associated to the \shs\, of the $(n,m)$--th KdV hierarchy (called $W(n,m)$ algebra) is isomorphic via a Miura map to the direct sum of $W_m$--algebra, $W_{n+m}$--algebra and an additional $U(1)$ current algebra. In turn, from the latter, we can always construct a representation of $W_\infty$--algebra. |
hep-th/9612169 | Yurii Shil'nov | Y. I. Shil'nov, V. V. Chitov, A.T. Kotwicki | Schwinger- Dyson Equations and Dynamical Symmetry Breaking in Quantum
R^2- gravity | 19 pages, 6 figures, LaTeX, submitted to Mod. Phys. Lett. A | Russ.Phys.J. 40 (1997) 251-255; Izv.Vuz.Fiz. 1997N3 (1997) 40-44 | null | null | hep-th | null | The dymamical chiral symmetry breaking in higher- derivative quantum gravity
has been investigated on the flat background. The Schwinger- Dyson equations
numerical solutions have been found in the ladder approximation. Both two- and
four- dimensional cases have been considered. The dymamical fermion mass
generation accompanied by the second- order phase transition has been shown to
take place in a different gauges.
| [
{
"created": "Mon, 16 Dec 1996 14:06:30 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Shil'nov",
"Y. I.",
""
],
[
"Chitov",
"V. V.",
""
],
[
"Kotwicki",
"A. T.",
""
]
] | The dymamical chiral symmetry breaking in higher- derivative quantum gravity has been investigated on the flat background. The Schwinger- Dyson equations numerical solutions have been found in the ladder approximation. Both two- and four- dimensional cases have been considered. The dymamical fermion mass generation accompanied by the second- order phase transition has been shown to take place in a different gauges. |
2001.00911 | Luis B Castro | Francisco A. Cruz Neto and Andr\'es G. Jir\'on Vicente and Luis B.
Castro | Comment on "Dirac fermions in Som-Raychaudhuri space-time with scalar
and vector potential and the energy momentum distributions" | 3 pages | Eur. Phys. J. C (2020) 80: 342 | 10.1140/epjc/s10052-020-7914-x | null | hep-th gr-qc math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We point out a misleading treatment and incorrect expressions in a recent
paper published in this Journal [Eur. Phys. J. C (2019) 79: 541] regarding
solutions for the Dirac equation in presence of scalar and vector potentials in
a class of flat G\"odel-type space-time called Som-Raychaudhuri space-time.
Following the appropriate procedure we obtain the solution for this system.
| [
{
"created": "Fri, 3 Jan 2020 17:51:27 GMT",
"version": "v1"
}
] | 2020-07-07 | [
[
"Neto",
"Francisco A. Cruz",
""
],
[
"Vicente",
"Andrés G. Jirón",
""
],
[
"Castro",
"Luis B.",
""
]
] | We point out a misleading treatment and incorrect expressions in a recent paper published in this Journal [Eur. Phys. J. C (2019) 79: 541] regarding solutions for the Dirac equation in presence of scalar and vector potentials in a class of flat G\"odel-type space-time called Som-Raychaudhuri space-time. Following the appropriate procedure we obtain the solution for this system. |
hep-th/0703276 | Julian Sonner | Julian Sonner and Paul K. Townsend | Axion-Dilaton Domain Walls and Fake Supergravity | 43pp, 19 figures; minor corrections and extensions; one additional
figure | Class.Quant.Grav.24:3479-3514,2007 | 10.1088/0264-9381/24/13/021 | DAMTP-2007-24 | hep-th | null | Dynamical systems methods are used to investigate domain-wall solutions of a
two-parameter family of models in which gravity is coupled to an axion, and to
a dilaton with an exponential potential of either sign. A complete global
analysis is presented for (i) constant axion and (ii) flat walls, including a
study of bifurcations and a new exact domain-wall solution with non-constant
axion. We reconsider `fake supergravity' issues in light of these results. We
show, by example, how domain walls determine multi-valued superpotentials that
branch at stationary points that are not stationary points of the potential,
and we apply this result to potentials with anti-de Sitter vacua. We also show
by example that `adapted' truncation to a single-scalar model is sometimes
inconsistent, and we propose a `generalized' fake supergravity formalism that
applies in some such cases.
| [
{
"created": "Thu, 29 Mar 2007 15:38:00 GMT",
"version": "v1"
},
{
"created": "Mon, 7 May 2007 14:52:38 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Sonner",
"Julian",
""
],
[
"Townsend",
"Paul K.",
""
]
] | Dynamical systems methods are used to investigate domain-wall solutions of a two-parameter family of models in which gravity is coupled to an axion, and to a dilaton with an exponential potential of either sign. A complete global analysis is presented for (i) constant axion and (ii) flat walls, including a study of bifurcations and a new exact domain-wall solution with non-constant axion. We reconsider `fake supergravity' issues in light of these results. We show, by example, how domain walls determine multi-valued superpotentials that branch at stationary points that are not stationary points of the potential, and we apply this result to potentials with anti-de Sitter vacua. We also show by example that `adapted' truncation to a single-scalar model is sometimes inconsistent, and we propose a `generalized' fake supergravity formalism that applies in some such cases. |
2302.09642 | Peng Yang | Peng Yang and Yu Tian | Supersolidity-related phenomena in holographic superfluid: cnoidal wave | 14 pages, 3 figures | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The candidate of supersolid-like state, cnoidal wave, is investigated in
finite temperature holographic superfluid model for the first time. We find by
giving different source $a_x$ for the particle current density $\langle
j^{x}\rangle$, different kinds of superflow states can be obtained numerically.
And based on $a_x$, three limiting cases of cnoidal waves can be found easily
as well as the general cnoidal wave solution. The chemical potential $\mu$ and
particle current density $\langle j^x \rangle$, as functions of source $a_x$,
are calculated for these superflow states and are compared with homogeneous
superflow. We find as we increasing $a_x$, cnoidal waves will enter into the
uniform limit, which reflects in the confluence of the behavior of $\mu(a_x)$
and $\langle j^x(a_x) \rangle$ between cnoidal wave and homogeneous superflow.
Based on the quasi-normal modes, we show the cnodial waves are always
dynamically unstable due to the finite temperature, while the energetic
stability is influenced by the particle current density. All these evidences
manifest that the cnoidal wave can be seen as an \textcolor{black}{unstable
excited states} with supersolidity in finite temperature superfluid system.
| [
{
"created": "Sun, 19 Feb 2023 18:17:38 GMT",
"version": "v1"
}
] | 2023-02-21 | [
[
"Yang",
"Peng",
""
],
[
"Tian",
"Yu",
""
]
] | The candidate of supersolid-like state, cnoidal wave, is investigated in finite temperature holographic superfluid model for the first time. We find by giving different source $a_x$ for the particle current density $\langle j^{x}\rangle$, different kinds of superflow states can be obtained numerically. And based on $a_x$, three limiting cases of cnoidal waves can be found easily as well as the general cnoidal wave solution. The chemical potential $\mu$ and particle current density $\langle j^x \rangle$, as functions of source $a_x$, are calculated for these superflow states and are compared with homogeneous superflow. We find as we increasing $a_x$, cnoidal waves will enter into the uniform limit, which reflects in the confluence of the behavior of $\mu(a_x)$ and $\langle j^x(a_x) \rangle$ between cnoidal wave and homogeneous superflow. Based on the quasi-normal modes, we show the cnodial waves are always dynamically unstable due to the finite temperature, while the energetic stability is influenced by the particle current density. All these evidences manifest that the cnoidal wave can be seen as an \textcolor{black}{unstable excited states} with supersolidity in finite temperature superfluid system. |
1112.5668 | Davide Fioravanti | Davide Fioravanti and Marco Rossi | TBA-like equations and Casimir effect in (non-)perturbative AdS/CFT | Version 2 with: new exact expression for the Casimir energy derived
(beyond the first two loops of the previous version); UV theory formulated
and analysed extensively in the Appendix C; origin of the O(6) NLSM
scattering clarified; typos correct and references added | null | 10.1007/JHEP12(2012)013 | null | hep-th cond-mat.stat-mech math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider high spin, $s$, long twist, $L$, planar operators (asymptotic
Bethe Ansatz) of strong ${\cal N}=4$ SYM. Precisely, we compute the minimal
anomalous dimensions for large 't Hooft coupling $\lambda$ to the lowest order
of the (string) scaling variable $\ell \sim L/ (\ln \mathcal{S}
\sqrt{\lambda})$ with GKP string size $\sim\ln \mathcal{S}\equiv 2 \ln
(s/\sqrt{\lambda})$. At the leading order $(\ln \mathcal{S}) \cdot \ell ^2 $,
we can confirm the O(6) non-linear sigma model description for this bulk term,
without boundary term $(\ln \mathcal{S})^0$. Going further, we derive,
extending the O(6) regime, the exact effect of the size finiteness. In
particular, we compute, at all loops, the first Casimir correction $\ell ^0/\ln
\mathcal{S}$ (in terms of the infinite size O(6) NLSM), which reveals only one
massless mode (out of five), as predictable once the O(6) description has been
extended. Consequently, upon comparing with string theory expansion, at one
loop our findings agree for large twist, while reveal for negligible twist,
already at this order, the appearance of wrapping. At two loops, as well as for
next loops and orders, we can produce predictions, which may guide future
string computations.
| [
{
"created": "Fri, 23 Dec 2011 23:10:01 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Aug 2012 15:35:15 GMT",
"version": "v2"
}
] | 2015-06-03 | [
[
"Fioravanti",
"Davide",
""
],
[
"Rossi",
"Marco",
""
]
] | We consider high spin, $s$, long twist, $L$, planar operators (asymptotic Bethe Ansatz) of strong ${\cal N}=4$ SYM. Precisely, we compute the minimal anomalous dimensions for large 't Hooft coupling $\lambda$ to the lowest order of the (string) scaling variable $\ell \sim L/ (\ln \mathcal{S} \sqrt{\lambda})$ with GKP string size $\sim\ln \mathcal{S}\equiv 2 \ln (s/\sqrt{\lambda})$. At the leading order $(\ln \mathcal{S}) \cdot \ell ^2 $, we can confirm the O(6) non-linear sigma model description for this bulk term, without boundary term $(\ln \mathcal{S})^0$. Going further, we derive, extending the O(6) regime, the exact effect of the size finiteness. In particular, we compute, at all loops, the first Casimir correction $\ell ^0/\ln \mathcal{S}$ (in terms of the infinite size O(6) NLSM), which reveals only one massless mode (out of five), as predictable once the O(6) description has been extended. Consequently, upon comparing with string theory expansion, at one loop our findings agree for large twist, while reveal for negligible twist, already at this order, the appearance of wrapping. At two loops, as well as for next loops and orders, we can produce predictions, which may guide future string computations. |
1505.01516 | Arsen Melikyan | A. Melikyan and G. Weber | On quantum Freidel-Maillet algebra for non-ultralocal integrable systems | 11 pages; v2: comments and references added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the quantum algebra of transition matrices for non-ultralocal
integrable systems, and show that a regularization of the singular operator
products in the quantum algebra via Sklyanin's product leads to well-defined
expressions, reproducing in the classical limit Maillet's symmetrization
prescription for Poisson brackets.
| [
{
"created": "Wed, 6 May 2015 21:00:19 GMT",
"version": "v1"
},
{
"created": "Sun, 17 May 2015 11:46:24 GMT",
"version": "v2"
}
] | 2015-05-19 | [
[
"Melikyan",
"A.",
""
],
[
"Weber",
"G.",
""
]
] | We consider the quantum algebra of transition matrices for non-ultralocal integrable systems, and show that a regularization of the singular operator products in the quantum algebra via Sklyanin's product leads to well-defined expressions, reproducing in the classical limit Maillet's symmetrization prescription for Poisson brackets. |
1104.5481 | Satoshi Ohya | Satoshi Ohya | Path Integral on Star Graph | 19 pages, 15 figures; typos corrected | Annals Phys.327:1668-1681,2012 | 10.1016/j.aop.2012.02.009 | IFUP-TH/2011-9 | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study path integral for a single spinless particle on a star
graph with N edges, whose vertex is known to be described by U(N) family of
boundary conditions. After carefully studying the free particle case, both at
the critical and off-critical levels, we propose a new path integral
formulation that correctly captures all the scale-invariant subfamily of
boundary conditions realized at fixed points of boundary renormalization group
flow. Our proposal is based on the folding trick, which maps a scalar-valued
wave function on star graph to an N-component vector-valued wave function on
half-line. All the parameters of scale-invariant subfamily of boundary
conditions are encoded into the momentum independent weight factors, which
appear to be associated with the two distinct path classes on half-line that
form the cyclic group Z_2. We show that, when bulk interactions are
edge-independent, these weight factors are generally given by an N-dimensional
unitary representation of Z_2. Generalization to momentum dependent weight
factors and applications to worldline formalism are briefly discussed.
| [
{
"created": "Thu, 28 Apr 2011 19:34:49 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Nov 2011 19:07:22 GMT",
"version": "v2"
},
{
"created": "Thu, 10 May 2012 16:23:09 GMT",
"version": "v3"
}
] | 2012-05-11 | [
[
"Ohya",
"Satoshi",
""
]
] | In this paper we study path integral for a single spinless particle on a star graph with N edges, whose vertex is known to be described by U(N) family of boundary conditions. After carefully studying the free particle case, both at the critical and off-critical levels, we propose a new path integral formulation that correctly captures all the scale-invariant subfamily of boundary conditions realized at fixed points of boundary renormalization group flow. Our proposal is based on the folding trick, which maps a scalar-valued wave function on star graph to an N-component vector-valued wave function on half-line. All the parameters of scale-invariant subfamily of boundary conditions are encoded into the momentum independent weight factors, which appear to be associated with the two distinct path classes on half-line that form the cyclic group Z_2. We show that, when bulk interactions are edge-independent, these weight factors are generally given by an N-dimensional unitary representation of Z_2. Generalization to momentum dependent weight factors and applications to worldline formalism are briefly discussed. |
hep-th/0309038 | Wojciech Zakrzewski | P.C. Stichel and W.J. Zakrzewski | A New Type of Conformal Dynamics | 24 pages | Annals Phys. 310 (2004) 158-180 | 10.1016/j.aop.2003.11.001 | null | hep-th | null | We consider the Lagrangian particle model introduced in [hep-th/9612017] for
zero mass but nonvanishing second central charge of the planar Galilei group.
Extended by a magnetic vortex or a Coulomb potential the model exibits
conformal symmetry. In the former case we observe an additional SO(2,1) hidden
symmetry. By either a canonical transformation with constraints or by freezing
scale and special conformal transformations at $t=0$ we reduce the
six-dimensional phase-space to the physically required four dimensions. Then we
discuss bound states (bounded solutions) in quantum dynamics (classical
mechanics). We show that the Schr\"odinger equation for the pure vortex case
may be transformed into the Morse potential problem thus providing us with an
explanation of the hidden SO(2,1) symmetry.
| [
{
"created": "Wed, 3 Sep 2003 13:36:34 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Stichel",
"P. C.",
""
],
[
"Zakrzewski",
"W. J.",
""
]
] | We consider the Lagrangian particle model introduced in [hep-th/9612017] for zero mass but nonvanishing second central charge of the planar Galilei group. Extended by a magnetic vortex or a Coulomb potential the model exibits conformal symmetry. In the former case we observe an additional SO(2,1) hidden symmetry. By either a canonical transformation with constraints or by freezing scale and special conformal transformations at $t=0$ we reduce the six-dimensional phase-space to the physically required four dimensions. Then we discuss bound states (bounded solutions) in quantum dynamics (classical mechanics). We show that the Schr\"odinger equation for the pure vortex case may be transformed into the Morse potential problem thus providing us with an explanation of the hidden SO(2,1) symmetry. |
0906.0519 | Tameem Albash | Tameem Albash and Clifford V. Johnson | Phases of Holographic Superconductors in an External Magnetic Field | 4 pages, 4 figures | null | null | null | hep-th cond-mat.supr-con | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a 2+1 dimensional model of superconductors using a 3+1 dimensional
gravitational dual theory of a black hole coupled to a scalar field, with
negative cosmological constant. In the presence of finite temperature T and a
background magnetic field B, we use numerical and analytic techniques to solve
the full Maxwell-scalar equations of motion in the background geometry, finding
non-trivial localized solutions that correspond to condensate droplets, and to
vortices. The properties of these solutions enable us to deduce several key
features of the (B,T) phase diagram.
| [
{
"created": "Tue, 2 Jun 2009 15:56:46 GMT",
"version": "v1"
}
] | 2009-06-05 | [
[
"Albash",
"Tameem",
""
],
[
"Johnson",
"Clifford V.",
""
]
] | We study a 2+1 dimensional model of superconductors using a 3+1 dimensional gravitational dual theory of a black hole coupled to a scalar field, with negative cosmological constant. In the presence of finite temperature T and a background magnetic field B, we use numerical and analytic techniques to solve the full Maxwell-scalar equations of motion in the background geometry, finding non-trivial localized solutions that correspond to condensate droplets, and to vortices. The properties of these solutions enable us to deduce several key features of the (B,T) phase diagram. |
1212.6747 | Peng Huang | P. Huang, Yong-Chang Huang | A Holographic Energy Model | 9 pages | Eur.Phys.J. C69 (2010) 503-507 | 10.1140/epjc/s10052-010-1434-z | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We suggest a holographic energy model in which the energy coming from spatial
curvature, matter and radiation can be obtained by using the particle horizon
for the infrared cut-off. We show the consistency between the holographic
dark-energy model and the holographic energy model proposed in this paper.
Then, we give a holographic description of the universe.
| [
{
"created": "Sun, 30 Dec 2012 17:10:10 GMT",
"version": "v1"
}
] | 2015-06-12 | [
[
"Huang",
"P.",
""
],
[
"Huang",
"Yong-Chang",
""
]
] | We suggest a holographic energy model in which the energy coming from spatial curvature, matter and radiation can be obtained by using the particle horizon for the infrared cut-off. We show the consistency between the holographic dark-energy model and the holographic energy model proposed in this paper. Then, we give a holographic description of the universe. |
hep-th/9809210 | Robert Marnelius | Igor Batalin, Robert Marnelius | Dualities between Poisson brackets and antibrackets | 24 pages,Latexfile,corrected (2.7-8) and removed text between (2.9)
and (2.10) | Int.J.Mod.Phys. A14 (1999) 5049-5074 | 10.1142/S0217751X99002384 | ITP-Goteborg 98-08 | hep-th | null | Recently it has been shown that antibrackets may be expressed in terms of
Poisson brackets and vice versa for commuting functions in the original
bracket. Here we also introduce generalized brackets involving higher
antibrackets or higher Poisson brackets where the latter are of a new type. We
give generating functions for these brackets for functions in arbitrary
involutions in the original bracket. We also give master equations for
generalized Maurer-Cartan equations. The presentation is completely symmetric
with respect to Poisson brackets and antibrackets.
| [
{
"created": "Wed, 30 Sep 1998 13:30:19 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Oct 1998 11:47:20 GMT",
"version": "v2"
}
] | 2019-08-17 | [
[
"Batalin",
"Igor",
""
],
[
"Marnelius",
"Robert",
""
]
] | Recently it has been shown that antibrackets may be expressed in terms of Poisson brackets and vice versa for commuting functions in the original bracket. Here we also introduce generalized brackets involving higher antibrackets or higher Poisson brackets where the latter are of a new type. We give generating functions for these brackets for functions in arbitrary involutions in the original bracket. We also give master equations for generalized Maurer-Cartan equations. The presentation is completely symmetric with respect to Poisson brackets and antibrackets. |
hep-th/0309173 | Hendryk Pfeiffer | Florian Girelli, Hendryk Pfeiffer | Higher gauge theory -- differential versus integral formulation | 26 pages, LaTeX with XYPic diagrams; v2: typos corrected and
presentation improved | J.Math.Phys.45:3949-3971,2004 | 10.1063/1.1790048 | DAMTP-2003-86 | hep-th | null | The term higher gauge theory refers to the generalization of gauge theory to
a theory of connections at two levels, essentially given by 1- and 2-forms. So
far, there have been two approaches to this subject. The differential picture
uses non-Abelian 1- and 2-forms in order to generalize the connection 1-form of
a conventional gauge theory to the next level. The integral picture makes use
of curves and surfaces labeled with elements of non-Abelian groups and
generalizes the formulation of gauge theory in terms of parallel transports. We
recall how to circumvent the classic no-go theorems in order to define
non-Abelian surface ordered products in the integral picture. We then derive
the differential picture from the integral formulation under the assumption
that the curve and surface labels depend smoothly on the position of the curves
and surfaces. We show that some aspects of the no-go theorems are still present
in the differential (but not in the integral) picture. This implies a
substantial structural difference between non-perturbative and perturbative
approaches to higher gauge theory. We finally demonstrate that higher gauge
theory provides a geometrical explanation for the extended topological symmetry
of BF-theory in both pictures.
| [
{
"created": "Wed, 17 Sep 2003 19:47:06 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Jan 2004 15:05:23 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Girelli",
"Florian",
""
],
[
"Pfeiffer",
"Hendryk",
""
]
] | The term higher gauge theory refers to the generalization of gauge theory to a theory of connections at two levels, essentially given by 1- and 2-forms. So far, there have been two approaches to this subject. The differential picture uses non-Abelian 1- and 2-forms in order to generalize the connection 1-form of a conventional gauge theory to the next level. The integral picture makes use of curves and surfaces labeled with elements of non-Abelian groups and generalizes the formulation of gauge theory in terms of parallel transports. We recall how to circumvent the classic no-go theorems in order to define non-Abelian surface ordered products in the integral picture. We then derive the differential picture from the integral formulation under the assumption that the curve and surface labels depend smoothly on the position of the curves and surfaces. We show that some aspects of the no-go theorems are still present in the differential (but not in the integral) picture. This implies a substantial structural difference between non-perturbative and perturbative approaches to higher gauge theory. We finally demonstrate that higher gauge theory provides a geometrical explanation for the extended topological symmetry of BF-theory in both pictures. |
hep-th/0403250 | Cesar Gomez | Cesar Gomez | IR Renormalons and Fractional Instantons in SUSY Gauge Theories | 24 pages, no figures | null | null | null | hep-th | null | We study IR-renormalon divergences in N=1 supersymmetric Yang Mills gauge
theories and in two dimensional non linear sigma models with mass gap. We
derive, in both types of theories, a direct connection between IR- renormalons
and fractional instanton effects. From the point of view of large $N$ dualities
we work out a connection between IR-renormalons and $c=1$ matrix models.
| [
{
"created": "Thu, 25 Mar 2004 15:16:19 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gomez",
"Cesar",
""
]
] | We study IR-renormalon divergences in N=1 supersymmetric Yang Mills gauge theories and in two dimensional non linear sigma models with mass gap. We derive, in both types of theories, a direct connection between IR- renormalons and fractional instanton effects. From the point of view of large $N$ dualities we work out a connection between IR-renormalons and $c=1$ matrix models. |
1711.05327 | Shota Komatsu | Thiago Fleury and Shota Komatsu | Hexagonalization of Correlation Functions II: Two-Particle Contributions | 36 pages | null | 10.1007/JHEP02(2018)177 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we compute one-loop planar five-point functions in
$\mathcal{N}$=4 super-Yang-Mills using integrability. As in the previous work,
we decompose the correlation functions into hexagon form factors and glue them
using the weight factors which depend on the cross ratios. The main new
ingredient in the computation, as compared to the four-point functions studied
in the previous paper, is the two-particle mirror contribution. We develop
techniques to evaluate it and find agreement with the perturbative results in
all the cases we analyzed. In addition, we consider next-to-extremal four-point
functions, which are known to be protected, and show that the sum of
one-particle and two-particle contributions at one loop adds up to zero as
expected. The tools developed in this work would be useful for computing
higher-particle contributions which would be relevant for more complicated
quantities such as higher-loop corrections and non-planar correlators.
| [
{
"created": "Tue, 14 Nov 2017 21:47:30 GMT",
"version": "v1"
}
] | 2018-04-04 | [
[
"Fleury",
"Thiago",
""
],
[
"Komatsu",
"Shota",
""
]
] | In this work, we compute one-loop planar five-point functions in $\mathcal{N}$=4 super-Yang-Mills using integrability. As in the previous work, we decompose the correlation functions into hexagon form factors and glue them using the weight factors which depend on the cross ratios. The main new ingredient in the computation, as compared to the four-point functions studied in the previous paper, is the two-particle mirror contribution. We develop techniques to evaluate it and find agreement with the perturbative results in all the cases we analyzed. In addition, we consider next-to-extremal four-point functions, which are known to be protected, and show that the sum of one-particle and two-particle contributions at one loop adds up to zero as expected. The tools developed in this work would be useful for computing higher-particle contributions which would be relevant for more complicated quantities such as higher-loop corrections and non-planar correlators. |
hep-th/0410138 | Yosuke Imamura | Yosuke Imamura | On String Junctions in Supersymmetric Gauge Theories | 33 pages, 16 figures, LaTeX2e; references added, typos corrected | Prog.Theor.Phys. 112 (2004) 1061-1086 | 10.1143/PTP.112.1061 | UT-04-27 | hep-th | null | We study junctions consisting of confining strings in N=1 supersymmetric
large N gauge theories by means of the gauge/gravity correspondence. We realize
these junctions as D-brane configurations in infrared geometries of the
Klebanov-Strassler (KS) and the Maldacena-Nunez (MN) solutions. After
discussing kinematics associated with the balance of tensions, we compute the
energies of baryon vertices numerically. In the KS background, baryon vertices
give negative contributions to the energies. The results for the MN background
strongly suggest that the energies of baryon vertices exactly vanish, as in the
case of supersymmetric (p,q)-string junctions. We find that brane
configurations in the MN background have a property similar to the holomorphy
of the M-theory realization of (p,q)-string junctions. With the help of this
property, we analytically prove the vanishing of the energies of baryon
vertices in the MN background.
| [
{
"created": "Tue, 12 Oct 2004 16:33:45 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Oct 2004 17:27:50 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Nov 2004 01:53:22 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Imamura",
"Yosuke",
""
]
] | We study junctions consisting of confining strings in N=1 supersymmetric large N gauge theories by means of the gauge/gravity correspondence. We realize these junctions as D-brane configurations in infrared geometries of the Klebanov-Strassler (KS) and the Maldacena-Nunez (MN) solutions. After discussing kinematics associated with the balance of tensions, we compute the energies of baryon vertices numerically. In the KS background, baryon vertices give negative contributions to the energies. The results for the MN background strongly suggest that the energies of baryon vertices exactly vanish, as in the case of supersymmetric (p,q)-string junctions. We find that brane configurations in the MN background have a property similar to the holomorphy of the M-theory realization of (p,q)-string junctions. With the help of this property, we analytically prove the vanishing of the energies of baryon vertices in the MN background. |
hep-th/0001033 | Timothy J. Hollowood | Csaba Csaki, Joshua Erlich, Timothy J. Hollowood and Yuri Shirman | Universal Aspects of Gravity Localized on Thick Branes | 31 pages, 6 figures, latex, JHEP.cls, amsmath, epsf.sty. Comment on
the Lykken-Randall scenario added. Minor changes and references added | Nucl.Phys.B581:309-338,2000 | 10.1016/S0550-3213(00)00271-6 | null | hep-th gr-qc hep-ph | null | We study gravity in backgrounds that are smooth generalizations of the
Randall-Sundrum model, with and without scalar fields. These generalizations
include three-branes in higher dimensional spaces which are not necessarily
Anti-de Sitter far from the branes, intersecting brane configurations and
configurations involving negative tension branes. We show that under certain
mild assumptions there is a universal equation for the gravitational
fluctuations. We study both the graviton ground state and the continuum of
Kaluza-Klein modes and we find that the four-dimensional gravitational mode is
localized precisely when the effects of the continuum modes decouple at
distances larger than the fundamental Planck scale. The decoupling is
contingent only on the long-range behaviour of the metric from the brane and we
find a universal form for the corrections to Newton's Law. We also comment on
the possible contribution of resonant modes. Given this, we find general
classes of metrics which maintain localized four-dimensional gravity. We find
that three-brane metrics in five dimensions can arise from a single scalar
field source, and we rederive the BPS type conditions without any a priori
assumptions regarding the form of the scalar potential. We also show that a
single scalar field cannot produce conformally-flat locally intersecting brane
configurations or a p-brane in greater than (p+2)-dimensions.
| [
{
"created": "Fri, 7 Jan 2000 21:08:41 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jan 2000 23:41:26 GMT",
"version": "v2"
}
] | 2009-07-09 | [
[
"Csaki",
"Csaba",
""
],
[
"Erlich",
"Joshua",
""
],
[
"Hollowood",
"Timothy J.",
""
],
[
"Shirman",
"Yuri",
""
]
] | We study gravity in backgrounds that are smooth generalizations of the Randall-Sundrum model, with and without scalar fields. These generalizations include three-branes in higher dimensional spaces which are not necessarily Anti-de Sitter far from the branes, intersecting brane configurations and configurations involving negative tension branes. We show that under certain mild assumptions there is a universal equation for the gravitational fluctuations. We study both the graviton ground state and the continuum of Kaluza-Klein modes and we find that the four-dimensional gravitational mode is localized precisely when the effects of the continuum modes decouple at distances larger than the fundamental Planck scale. The decoupling is contingent only on the long-range behaviour of the metric from the brane and we find a universal form for the corrections to Newton's Law. We also comment on the possible contribution of resonant modes. Given this, we find general classes of metrics which maintain localized four-dimensional gravity. We find that three-brane metrics in five dimensions can arise from a single scalar field source, and we rederive the BPS type conditions without any a priori assumptions regarding the form of the scalar potential. We also show that a single scalar field cannot produce conformally-flat locally intersecting brane configurations or a p-brane in greater than (p+2)-dimensions. |
1701.07833 | Marco Bochicchio | Marco Bochicchio | The large-N Yang-Mills S-matrix is ultraviolet finite, but the large-N
QCD S-matrix is only renormalizable | 12 pages, latex | Phys. Rev. D95 (2017) no.5, 054010 | 10.1103/PhysRevD.95.054010 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | YM and QCD are known to be renormalizable, but not ultraviolet finite, order
by order in perturbation theory. It is a fundamental question as to whether YM
or QCD are ultraviolet finite, or only renormalizable, order by order in the
large-N 't Hooft or Veneziano expansions. We demonstrate that Renormalization
Group and Asymptotic Freedom imply that in 't Hooft large-N expansion the
S-matrix in YM is ultraviolet finite, while in both 't Hooft and Veneziano
large-N expansions the S-matrix in confining QCD with massless quarks is
renormalizable but not ultraviolet finite. By the same argument it follows that
the large-N $\mathcal{N}=1$ SUSY YM S-matrix is ultraviolet finite as well.
Besides, we demonstrate that the correlators of local gauge-invariant
operators, as opposed to the S-matrix, are renormalizable but in general not
ultraviolet finite in the large-N 't Hooft and Veneziano expansions, neither in
pure YM and $\mathcal{N}=1$ SUSY YM nor a fortiori in massless QCD. Moreover,
we compute explicitly the counterterms that arise renormalizing the large-N 't
Hooft and Veneziano expansions, by deriving in confining massless QCD-like
theories a low-energy theorem of NSVZ type, that relates the log derivative
with respect to the gauge coupling of a $k$-point correlator, or the log
derivative with respect to the RG-invariant scale, to a $k+1$-point correlator
with the insertion of $Tr F^2$ at zero momentum. Finally, we argue that similar
results hold in the large-N limit of a vast class of confining QCD-like
theories with massive matter fields, provided a renormalization scheme exists,
as for example $\overline{MS}$, in which the beta function is independent on
the masses. In particular, in both 't Hooft and Veneziano large-N expansions
the S-matrix in confining massive QCD and massive $\mathcal{N}=1$ SUSY QCD is
renormalizable but not ultraviolet finite.
| [
{
"created": "Thu, 26 Jan 2017 19:00:03 GMT",
"version": "v1"
}
] | 2017-03-28 | [
[
"Bochicchio",
"Marco",
""
]
] | YM and QCD are known to be renormalizable, but not ultraviolet finite, order by order in perturbation theory. It is a fundamental question as to whether YM or QCD are ultraviolet finite, or only renormalizable, order by order in the large-N 't Hooft or Veneziano expansions. We demonstrate that Renormalization Group and Asymptotic Freedom imply that in 't Hooft large-N expansion the S-matrix in YM is ultraviolet finite, while in both 't Hooft and Veneziano large-N expansions the S-matrix in confining QCD with massless quarks is renormalizable but not ultraviolet finite. By the same argument it follows that the large-N $\mathcal{N}=1$ SUSY YM S-matrix is ultraviolet finite as well. Besides, we demonstrate that the correlators of local gauge-invariant operators, as opposed to the S-matrix, are renormalizable but in general not ultraviolet finite in the large-N 't Hooft and Veneziano expansions, neither in pure YM and $\mathcal{N}=1$ SUSY YM nor a fortiori in massless QCD. Moreover, we compute explicitly the counterterms that arise renormalizing the large-N 't Hooft and Veneziano expansions, by deriving in confining massless QCD-like theories a low-energy theorem of NSVZ type, that relates the log derivative with respect to the gauge coupling of a $k$-point correlator, or the log derivative with respect to the RG-invariant scale, to a $k+1$-point correlator with the insertion of $Tr F^2$ at zero momentum. Finally, we argue that similar results hold in the large-N limit of a vast class of confining QCD-like theories with massive matter fields, provided a renormalization scheme exists, as for example $\overline{MS}$, in which the beta function is independent on the masses. In particular, in both 't Hooft and Veneziano large-N expansions the S-matrix in confining massive QCD and massive $\mathcal{N}=1$ SUSY QCD is renormalizable but not ultraviolet finite. |
hep-th/0310195 | Jaume Gomis | Jaume Gomis and Anton Kapustin (Caltech) | Two-Dimensional Unoriented Strings And Matrix Models | 36 pages, harvmac, 2 eps figures | JHEP 0406 (2004) 002 | 10.1088/1126-6708/2004/06/002 | null | hep-th | null | We investigate unoriented strings and superstrings in two dimensions and
their dual matrix quantum mechanics. Most of the models we study have a tachyon
tadpole coming from the RP^2 worldsheet which needs to be cancelled by a
renormalization of the worldsheet theory. We find evidence that the dual matrix
models describe the renormalized theory. The singlet sector of the matrix
models is integrable and can be formulated in terms of fermions moving in an
external potential and interacting via the Calogero-Moser potential. We show
that in the double-scaling limit the latter system exhibits particle-hole
duality and interpret it in terms of the dual string theory. We also show that
oriented string theories in two dimensions can be continuously deformed into
unoriented ones by turning on non-local interactions on the worldsheet. We find
two unoriented superstring models for which only oriented worldsheets
contribute to the S-matrix. A simple explanation for this is found in the dual
matrix model.
| [
{
"created": "Tue, 21 Oct 2003 19:28:31 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Gomis",
"Jaume",
"",
"Caltech"
],
[
"Kapustin",
"Anton",
"",
"Caltech"
]
] | We investigate unoriented strings and superstrings in two dimensions and their dual matrix quantum mechanics. Most of the models we study have a tachyon tadpole coming from the RP^2 worldsheet which needs to be cancelled by a renormalization of the worldsheet theory. We find evidence that the dual matrix models describe the renormalized theory. The singlet sector of the matrix models is integrable and can be formulated in terms of fermions moving in an external potential and interacting via the Calogero-Moser potential. We show that in the double-scaling limit the latter system exhibits particle-hole duality and interpret it in terms of the dual string theory. We also show that oriented string theories in two dimensions can be continuously deformed into unoriented ones by turning on non-local interactions on the worldsheet. We find two unoriented superstring models for which only oriented worldsheets contribute to the S-matrix. A simple explanation for this is found in the dual matrix model. |
1607.04861 | Dirk Kreimer | Dirk Kreimer | Cutkosky Rules from Outer Space | 8p, talk given at Loops and Legs in Quantum Field Theory, Leipzig,
April 24-29 2016, Germany | null | null | MaPhy-AvH/2016-16 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We overview recent results on the mathematical foundations of Cutkosky rules.
We emphasize that the two operations of shrinking an internal edge or putting
internal lines on the mass-shell are natural operation on the cubical chain
complex studied in the context of geometric group theory. This together with
Cutkosky's theorem regarded as a theorem which informs us about variations
connected to the monodromy of Feynman amplitudes allows for a systematic
approach to normal and anomalous thresholds, dispersion relations and the
optical theorem. In this report we follow [1] closely.
| [
{
"created": "Sun, 17 Jul 2016 12:49:18 GMT",
"version": "v1"
}
] | 2016-07-19 | [
[
"Kreimer",
"Dirk",
""
]
] | We overview recent results on the mathematical foundations of Cutkosky rules. We emphasize that the two operations of shrinking an internal edge or putting internal lines on the mass-shell are natural operation on the cubical chain complex studied in the context of geometric group theory. This together with Cutkosky's theorem regarded as a theorem which informs us about variations connected to the monodromy of Feynman amplitudes allows for a systematic approach to normal and anomalous thresholds, dispersion relations and the optical theorem. In this report we follow [1] closely. |
1908.10372 | Sebastian Grieninger | Sebastian Grieninger | Entanglement entropy and $T\bar T$ deformations beyond antipodal points
from holography | added discussion about Wald entropy associated with the counterterms
in order to fit the EE in higher dimensions on both sides; matches version
accepted in JHEP; 17+5 pages, 2 figures | J. High Energ. Phys. (2019) 2019: 171 | 10.1007/JHEP11(2019)171 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the entanglement entropies in dS$_d$ sliced (A)dS$_{d+1}$ in the
presence of a hard radial cutoff for $2\le d\le 6$. By considering a one
parameter family of analytical solutions, parametrized by their turning point
in the bulk $r^\star$, we are able to compute the entanglement entropy for
generic intervals on the cutoff slice. It has been proposed that the field
theory dual of this scenario is a strongly coupled CFT, deformed by a certain
irrelevant deformation -- the so-called $T\bar T$ deformation. Surprisingly, we
find that we may write the entanglement entropies formally in the same way as
the entanglement entropy for antipodal points on the sphere by introducing an
effective radius $R_\text{eff}=R\,\cos(\beta_\epsilon)$, where $R$ is the
radius of the sphere and $\beta_\epsilon$ related to the length of the
interval. Geometrically, this is equivalent to following the $T\bar T$
trajectory until the generic interval corresponds to antipodal points on the
sphere. Finally, we check our results by comparing the asymptotic behavior (no
Dirichlet wall present) with the results of Casini, Huerta and Myers. We then
switch on counterterms on the cutoff slice which are important with regards to
the field theory calculation. We explicitly compute the contributions of the
counterterms to the entanglement entropy by considering the Wald entropy. In
the second part of this work, we extend the field theory calculation of the
entanglement entropy for antipodal points for a $d$-dimensional field theory in
context of DS/dS holography. We find excellent agreement with the results from
holography and show, in particular, that the effects of the counterterms in the
field theory calculation match the Wald entropy associated with the
counterterms on the gravity side.
| [
{
"created": "Tue, 27 Aug 2019 18:00:02 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Nov 2019 19:00:03 GMT",
"version": "v2"
}
] | 2019-12-09 | [
[
"Grieninger",
"Sebastian",
""
]
] | We consider the entanglement entropies in dS$_d$ sliced (A)dS$_{d+1}$ in the presence of a hard radial cutoff for $2\le d\le 6$. By considering a one parameter family of analytical solutions, parametrized by their turning point in the bulk $r^\star$, we are able to compute the entanglement entropy for generic intervals on the cutoff slice. It has been proposed that the field theory dual of this scenario is a strongly coupled CFT, deformed by a certain irrelevant deformation -- the so-called $T\bar T$ deformation. Surprisingly, we find that we may write the entanglement entropies formally in the same way as the entanglement entropy for antipodal points on the sphere by introducing an effective radius $R_\text{eff}=R\,\cos(\beta_\epsilon)$, where $R$ is the radius of the sphere and $\beta_\epsilon$ related to the length of the interval. Geometrically, this is equivalent to following the $T\bar T$ trajectory until the generic interval corresponds to antipodal points on the sphere. Finally, we check our results by comparing the asymptotic behavior (no Dirichlet wall present) with the results of Casini, Huerta and Myers. We then switch on counterterms on the cutoff slice which are important with regards to the field theory calculation. We explicitly compute the contributions of the counterterms to the entanglement entropy by considering the Wald entropy. In the second part of this work, we extend the field theory calculation of the entanglement entropy for antipodal points for a $d$-dimensional field theory in context of DS/dS holography. We find excellent agreement with the results from holography and show, in particular, that the effects of the counterterms in the field theory calculation match the Wald entropy associated with the counterterms on the gravity side. |
1201.3058 | Io Kawaguchi | Io Kawaguchi, Takuya Matsumoto, Kentaroh Yoshida | The classical origin of quantum affine algebra in squashed sigma models | 25 pages, 2 figures | null | 10.1007/JHEP04(2012)115 | KUNS-2379 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a quantum affine algebra realized in two-dimensional non-linear
sigma models with target space three-dimensional squashed sphere. Its affine
generators are explicitly constructed and the Poisson brackets are computed.
The defining relations of quantum affine algebra in the sense of the Drinfeld
first realization are satisfied at classical level. The relation to the
Drinfeld second realization is also discussed including higher conserved
charges. Finally we comment on a semiclassical limit of quantum affine algebra
at quantum level.
| [
{
"created": "Sun, 15 Jan 2012 05:17:29 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Aug 2012 04:06:43 GMT",
"version": "v2"
}
] | 2015-06-03 | [
[
"Kawaguchi",
"Io",
""
],
[
"Matsumoto",
"Takuya",
""
],
[
"Yoshida",
"Kentaroh",
""
]
] | We consider a quantum affine algebra realized in two-dimensional non-linear sigma models with target space three-dimensional squashed sphere. Its affine generators are explicitly constructed and the Poisson brackets are computed. The defining relations of quantum affine algebra in the sense of the Drinfeld first realization are satisfied at classical level. The relation to the Drinfeld second realization is also discussed including higher conserved charges. Finally we comment on a semiclassical limit of quantum affine algebra at quantum level. |
1511.05975 | Soo-Jong Rey | Seungho Gwak, Euihun Joung, Karapet Mkrtchyan, Soo-Jong Rey | Rainbow Vacua of Colored Higher Spin Gravity in Three Dimensions | 20 pages; v2. discussion on partially massless spectrum expanded | null | null | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the color-decoration of higher-spin (anti)-de Sitter gravity in
three dimensions. We show that the rainbow vacua, which we found recently for
the colored gravity theory, also pertain in the colored higher-spin theory. The
color singlet spin-two plays the role of first fundamental form (metric). The
difference is that when spontaneous breaking of color symmetry takes place, the
Goldstone modes of massless spin-two combine with all other spins and become
the maximal-depth partially massless fields of the highest spin in the theory,
forming a Regge trajectory.
| [
{
"created": "Wed, 18 Nov 2015 21:02:33 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Feb 2016 08:21:32 GMT",
"version": "v2"
}
] | 2016-02-17 | [
[
"Gwak",
"Seungho",
""
],
[
"Joung",
"Euihun",
""
],
[
"Mkrtchyan",
"Karapet",
""
],
[
"Rey",
"Soo-Jong",
""
]
] | We study the color-decoration of higher-spin (anti)-de Sitter gravity in three dimensions. We show that the rainbow vacua, which we found recently for the colored gravity theory, also pertain in the colored higher-spin theory. The color singlet spin-two plays the role of first fundamental form (metric). The difference is that when spontaneous breaking of color symmetry takes place, the Goldstone modes of massless spin-two combine with all other spins and become the maximal-depth partially massless fields of the highest spin in the theory, forming a Regge trajectory. |
1205.6814 | Matt Visser | Matt Visser (Victoria University of Wellington) | Area products for stationary black hole horizons | V1: 16 pages; V2: 9 pages (now formatted in PRD style). Minor change
in title. Extra introduction, background, discussion. Several additional
references; other references updated. Minor typos fixed. This version
accepted for publication in PRD; V3: Minor typos fixed. Published version | Physical Review D 88 (2013) 044014 | 10.1103/PhysRevD.88.044014 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Area products for multi-horizon stationary black holes often have intriguing
properties, and are often (though not always) independent of the mass of the
black hole itself (depending only on various charges, angular momenta, and
moduli). Such products are often formulated in terms of the areas of inner
(Cauchy) horizons and outer (event) horizons, and sometimes include the effects
of unphysical "virtual" horizons. But the conjectured mass-independence
sometimes fails. Specifically, for the Schwarzschild-de Sitter [Kottler] black
hole in (3+1) dimensions it is shown by explicit exact calculation that the
product of event horizon area and cosmological horizon area is not mass
independent. (Including the effect of the third "virtual" horizon does not
improve the situation.) Similarly, in the Reissner-Nordstrom-anti-de Sitter
black hole in (3+1) dimensions the product of inner (Cauchy) horizon area and
event horizon area is calculated (perturbatively), and is shown to be not mass
independent. That is, the mass-independence of the product of physical horizon
areas is not generic. In spherical symmetry, whenever the quasi-local mass m(r)
is a Laurent polynomial in aerial radius, r=sqrt{A/4\pi}, there are
significantly more complicated mass-independent quantities, the elementary
symmetric polynomials built up from the complete set of horizon radii (physical
and virtual). Sometimes it is possible to eliminate the unphysical virtual
horizons, constructing combinations of physical horizon areas that are mass
independent, but they tend to be considerably more complicated than the simple
products and related constructions currently being mooted in the literature.
| [
{
"created": "Wed, 30 May 2012 20:03:02 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Jul 2013 20:00:08 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Aug 2013 22:33:48 GMT",
"version": "v3"
}
] | 2013-08-19 | [
[
"Visser",
"Matt",
"",
"Victoria University of Wellington"
]
] | Area products for multi-horizon stationary black holes often have intriguing properties, and are often (though not always) independent of the mass of the black hole itself (depending only on various charges, angular momenta, and moduli). Such products are often formulated in terms of the areas of inner (Cauchy) horizons and outer (event) horizons, and sometimes include the effects of unphysical "virtual" horizons. But the conjectured mass-independence sometimes fails. Specifically, for the Schwarzschild-de Sitter [Kottler] black hole in (3+1) dimensions it is shown by explicit exact calculation that the product of event horizon area and cosmological horizon area is not mass independent. (Including the effect of the third "virtual" horizon does not improve the situation.) Similarly, in the Reissner-Nordstrom-anti-de Sitter black hole in (3+1) dimensions the product of inner (Cauchy) horizon area and event horizon area is calculated (perturbatively), and is shown to be not mass independent. That is, the mass-independence of the product of physical horizon areas is not generic. In spherical symmetry, whenever the quasi-local mass m(r) is a Laurent polynomial in aerial radius, r=sqrt{A/4\pi}, there are significantly more complicated mass-independent quantities, the elementary symmetric polynomials built up from the complete set of horizon radii (physical and virtual). Sometimes it is possible to eliminate the unphysical virtual horizons, constructing combinations of physical horizon areas that are mass independent, but they tend to be considerably more complicated than the simple products and related constructions currently being mooted in the literature. |
1111.5389 | Shin'ichi Nojiri | Yusaku Ito, Shin'ichi Nojiri, and Sergei D. Odintsov | Stability of accelerating cosmology in two scalar-tensor theory: Little
Rip versus de Sitter | LaTeX 27 pages, 12 figures, version appeared in Entropy | null | 10.3390/e14081578 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop the general reconstruction scheme in two scalar model. The
quintom-like theory which may describe (different) non-singular Little Rip or
de Sitter cosmology is reconstructed. (In)stability of such dark energy
cosmologies as well as the flow to fixed points is studied. The stability of
Little Rip universe which leads to dissolution of bound objects sometime in
future indicates that no classical transition to de Sitter space occurs.
| [
{
"created": "Wed, 23 Nov 2011 02:36:19 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Nov 2012 04:58:04 GMT",
"version": "v2"
}
] | 2015-06-03 | [
[
"Ito",
"Yusaku",
""
],
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
]
] | We develop the general reconstruction scheme in two scalar model. The quintom-like theory which may describe (different) non-singular Little Rip or de Sitter cosmology is reconstructed. (In)stability of such dark energy cosmologies as well as the flow to fixed points is studied. The stability of Little Rip universe which leads to dissolution of bound objects sometime in future indicates that no classical transition to de Sitter space occurs. |
1309.3413 | Alexander Westphal | Francisco G. Pedro and Alexander Westphal | Low-l CMB Power Loss in String Inflation | LaTeX, 1+17 pages, 7 figures | null | 10.1007/JHEP04(2014)034 | DESY-13-163 | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The lack of power on large scales (l < 40) might have been observed by the
PLANCK satellite. We argue that this putative feature can be explained by a
phase of fast roll at the onset of inflation. We show that in the context of
single field models what is required is an asymmetric inflection point model of
which fibre inflation is a string motivated example. We study the ability of
fibre inflation to generate a suppression of the CMB 2-point function power at
low l, finding that the potential derived from string loops is not steep enough
for this purpose. We introduce a steeper contribution to the potential, that
dominates away from the inflationary region, and show that if properly tuned it
can indeed lead to a spectrum with lack of power at large scales.
| [
{
"created": "Fri, 13 Sep 2013 09:48:51 GMT",
"version": "v1"
}
] | 2015-06-17 | [
[
"Pedro",
"Francisco G.",
""
],
[
"Westphal",
"Alexander",
""
]
] | The lack of power on large scales (l < 40) might have been observed by the PLANCK satellite. We argue that this putative feature can be explained by a phase of fast roll at the onset of inflation. We show that in the context of single field models what is required is an asymmetric inflection point model of which fibre inflation is a string motivated example. We study the ability of fibre inflation to generate a suppression of the CMB 2-point function power at low l, finding that the potential derived from string loops is not steep enough for this purpose. We introduce a steeper contribution to the potential, that dominates away from the inflationary region, and show that if properly tuned it can indeed lead to a spectrum with lack of power at large scales. |
hep-th/0008026 | Rui Neves | Rui Neves | Renormalization Group Flow in BRST Invariant Open String $\sigma$-Model | 12 pages, latex, no figures, uses package latexsym | null | null | UALG/TP/00-7 | hep-th | null | The renormalization group flow in the theory space of a BRST invariant string
$\sigma$-model is investigated. For the open bosonic string the
non-perturbative off-shell effective action and its gauge symmetry properties
are determined from $\beta$-functions defined by the local Weyl anomaly. The
interactions are shown to explicitly break the free theory BRST invariance
generating new non-linear gauge symmetries of the type present in Witten's
string field theory. In the Feynman-Siegel gauge the $\sigma$-model is shown to
generate Witten's structure of vertex couplings.
| [
{
"created": "Wed, 2 Aug 2000 18:21:21 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Neves",
"Rui",
""
]
] | The renormalization group flow in the theory space of a BRST invariant string $\sigma$-model is investigated. For the open bosonic string the non-perturbative off-shell effective action and its gauge symmetry properties are determined from $\beta$-functions defined by the local Weyl anomaly. The interactions are shown to explicitly break the free theory BRST invariance generating new non-linear gauge symmetries of the type present in Witten's string field theory. In the Feynman-Siegel gauge the $\sigma$-model is shown to generate Witten's structure of vertex couplings. |
0809.0783 | Marius de Leeuw | M de Leeuw | The Bethe Ansatz for AdS5 x S5 Bound States | typos corrected | JHEP 0901:005,2009 | 10.1088/1126-6708/2009/01/005 | ITP-UU-08/52, SPIN-08/42 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reformulate the nested coordinate Bethe ansatz in terms of coproducts of
Yangian symmetry generators. This allows us to derive the nested Bethe
equations for the bound state string S-matrices. We find that they coincide
with the Bethe equations obtained from a fusion procedure. The bound state
number dependence in the Bethe equations appears through the parameters x^{\pm}
and the dressing phase only.
| [
{
"created": "Thu, 4 Sep 2008 10:26:19 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jan 2009 09:56:59 GMT",
"version": "v2"
}
] | 2009-01-22 | [
[
"de Leeuw",
"M",
""
]
] | We reformulate the nested coordinate Bethe ansatz in terms of coproducts of Yangian symmetry generators. This allows us to derive the nested Bethe equations for the bound state string S-matrices. We find that they coincide with the Bethe equations obtained from a fusion procedure. The bound state number dependence in the Bethe equations appears through the parameters x^{\pm} and the dressing phase only. |
1705.00957 | Pavlo Gavrylenko | M. Bershtein, P. Gavrylenko, A. Marshakov | Twist-field representations of W-algebras, exact conformal blocks and
character identities | 55 pages; journal version | J. High Energ. Phys. (2018) 2018: 108 | 10.1007/JHEP08(2018)108 | null | hep-th math-ph math.MP math.QA math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the twist-field representations of W-algebras and generalize
construction of the corresponding vertex operators to D- and B-series. It is
shown, how the computation of characters of these representations leads to
nontrivial identities involving lattice theta-functions. We also propose a way
to calculate their exact conformal blocks, expressing them for D-series in
terms of geometric data of the corresponding Prym variety for covering curve
with involution.
| [
{
"created": "Tue, 2 May 2017 13:24:37 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Jan 2018 13:39:36 GMT",
"version": "v2"
},
{
"created": "Wed, 12 Sep 2018 11:06:24 GMT",
"version": "v3"
}
] | 2018-09-13 | [
[
"Bershtein",
"M.",
""
],
[
"Gavrylenko",
"P.",
""
],
[
"Marshakov",
"A.",
""
]
] | We study the twist-field representations of W-algebras and generalize construction of the corresponding vertex operators to D- and B-series. It is shown, how the computation of characters of these representations leads to nontrivial identities involving lattice theta-functions. We also propose a way to calculate their exact conformal blocks, expressing them for D-series in terms of geometric data of the corresponding Prym variety for covering curve with involution. |
0905.4702 | Anastasia Volovich | Chrysostomos Kalousios, C. Vergu, Anastasia Volovich | Factorized Tree-level Scattering in AdS_4 x CP^3 | 23 pages, v2. references added | JHEP 0909:049,2009 | 10.1088/1126-6708/2009/09/049 | Brown-HET-1583 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | AdS_4/CFT_3 duality relating IIA string theory on AdS_4 x CP^3 to N=6
superconformal Chern-Simons theory provides an arena for studying aspects of
integrability in a new potentially exactly solvable system. In this paper we
explore the tree-level worldsheet scattering for strings on AdS_4 x CP^3. We
compute all bosonic four-, five- and six-point amplitudes in the gauge-fixed
action and demonstrate the absence of particle production.
| [
{
"created": "Thu, 28 May 2009 17:08:33 GMT",
"version": "v1"
},
{
"created": "Sat, 29 Aug 2009 20:01:14 GMT",
"version": "v2"
}
] | 2009-09-28 | [
[
"Kalousios",
"Chrysostomos",
""
],
[
"Vergu",
"C.",
""
],
[
"Volovich",
"Anastasia",
""
]
] | AdS_4/CFT_3 duality relating IIA string theory on AdS_4 x CP^3 to N=6 superconformal Chern-Simons theory provides an arena for studying aspects of integrability in a new potentially exactly solvable system. In this paper we explore the tree-level worldsheet scattering for strings on AdS_4 x CP^3. We compute all bosonic four-, five- and six-point amplitudes in the gauge-fixed action and demonstrate the absence of particle production. |
hep-th/9405040 | Genadi A. Sardanashvily | G.Sardanashvily | Multimomentum Hamiltonian Formalism in Field Theory. Geometric
Supplementary | 23 pages, LaTeX file | null | null | null | hep-th | null | The well-known geometric approach to field theory is based on description of
classical fields as sections of fibred manifolds, e.g. bundles with a structure
group in gauge theory. In this approach, Lagrangian and Hamiltonian formalisms
including the multiomentum Hamiltonian formalism are phrased in terms of jet
manifolds. Then, configuration and phase spaces of fields are
finite-dimensional. Though the jet manifolds have been widely used for theory
of differential operators, the calculus of variations and differential
geometry, this powerful mathematical methods remains almost unknown for
physicists. This Supplementary to our previous article (hep-th/9403172) aims to
summarize necessary requisites on jet manifolds and general connections.
| [
{
"created": "Fri, 6 May 1994 11:05:46 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Sardanashvily",
"G.",
""
]
] | The well-known geometric approach to field theory is based on description of classical fields as sections of fibred manifolds, e.g. bundles with a structure group in gauge theory. In this approach, Lagrangian and Hamiltonian formalisms including the multiomentum Hamiltonian formalism are phrased in terms of jet manifolds. Then, configuration and phase spaces of fields are finite-dimensional. Though the jet manifolds have been widely used for theory of differential operators, the calculus of variations and differential geometry, this powerful mathematical methods remains almost unknown for physicists. This Supplementary to our previous article (hep-th/9403172) aims to summarize necessary requisites on jet manifolds and general connections. |
hep-th/9902175 | Manuel Calixto | M. Calixto and V. Aldaya | Group Approach to Quantization of Yang-Mills Theories: A Cohomological
Origin of Mass | 21 pages, LaTeX, no figures; final form | J.Phys.A32:7287-7304,1999 | 10.1088/0305-4470/32/42/305 | SWAT-99/224 | hep-th math-ph math.MP | null | New clues for the best understanding of the nature of the symmetry-breaking
mechanism are revealed in this paper. A revision of the standard gauge
transformation properties of Yang-Mills fields, according to a group approach
to quantization scheme, enables the gauge group coordinates to acquire
dynamical content outside the null mass shell. The corresponding extra
(internal) field degrees of freedom are transferred to the vector potentials to
conform massive vector bosons.
| [
{
"created": "Wed, 24 Feb 1999 14:44:15 GMT",
"version": "v1"
},
{
"created": "Thu, 6 May 1999 13:51:33 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Nov 1999 23:18:36 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Calixto",
"M.",
""
],
[
"Aldaya",
"V.",
""
]
] | New clues for the best understanding of the nature of the symmetry-breaking mechanism are revealed in this paper. A revision of the standard gauge transformation properties of Yang-Mills fields, according to a group approach to quantization scheme, enables the gauge group coordinates to acquire dynamical content outside the null mass shell. The corresponding extra (internal) field degrees of freedom are transferred to the vector potentials to conform massive vector bosons. |
hep-th/0009093 | Fernando T. Brandt | F. T. Brandt, Ashok Das and J. Frenkel | Behavior of the thermal gluon self-energy in the Coulomb gauge | 8 pages, 2 figures, correction of a minor typo | Phys.Rev.D62:127702,2000 | 10.1103/PhysRevD.62.127702 | null | hep-th hep-ph | null | We study, to one loop order, the behavior of the gluon self-energy in the non
covariant Coulomb gauge at finite temperature. The cancellation of the peculiar
energy divergences, which arise in such a gauge, is explicitly verified in the
complete two point function of the Yang-Mills theory. At high temperatures, the
leading T^2 term is determined to be transverse and nonlocal, in agreement with
the results obtained in covariant gauges. The coefficient of the sub-leading
ln(T) contribution, is non transverse but local and coincides (up to a
multiplicative constant) with that of the ultraviolet pole term of the zero
temperature amplitude.
| [
{
"created": "Tue, 12 Sep 2000 13:09:06 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Sep 2000 12:54:00 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Brandt",
"F. T.",
""
],
[
"Das",
"Ashok",
""
],
[
"Frenkel",
"J.",
""
]
] | We study, to one loop order, the behavior of the gluon self-energy in the non covariant Coulomb gauge at finite temperature. The cancellation of the peculiar energy divergences, which arise in such a gauge, is explicitly verified in the complete two point function of the Yang-Mills theory. At high temperatures, the leading T^2 term is determined to be transverse and nonlocal, in agreement with the results obtained in covariant gauges. The coefficient of the sub-leading ln(T) contribution, is non transverse but local and coincides (up to a multiplicative constant) with that of the ultraviolet pole term of the zero temperature amplitude. |
hep-th/0104244 | Mohab Abou-Zeid | Mohab Abou-Zeid and Harald Dorn | Comments on the Energy-Momentum Tensor in Non-Commutative Field Theories | LaTeX, 10 pages, no figures; v2: minor changes made, a summary added,
version to appear in PLB | Phys.Lett. B514 (2001) 183-188 | 10.1016/S0370-2693(01)00780-8 | HUB-EP-01/18 | hep-th | null | In a non-commutative field theory, the energy-momentum tensor obtained from
the Noether method needs not be symmetric; in a massless theory, it needs not
be traceless either. In a non-commutative scalar field theory, the method
yields a locally conserved yet non-symmetric energy-momentum tensor whose trace
does not vanish for massless fields. A non-symmetric tensor also governs the
response of the action to a general coordinate transformation. In
non-commutative gauge theory, if translations are suitably combined with gauge
transformations, the method yields a covariantly constant tensor which is
symmetric but only gauge covariant. Using suitable Wilson functionals, this can
be improved to yield a locally conserved and gauge invariant, albeit
non-symmetric, energy-momentum tensor.
| [
{
"created": "Fri, 27 Apr 2001 13:07:36 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jun 2001 13:00:12 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Jun 2001 12:06:06 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Abou-Zeid",
"Mohab",
""
],
[
"Dorn",
"Harald",
""
]
] | In a non-commutative field theory, the energy-momentum tensor obtained from the Noether method needs not be symmetric; in a massless theory, it needs not be traceless either. In a non-commutative scalar field theory, the method yields a locally conserved yet non-symmetric energy-momentum tensor whose trace does not vanish for massless fields. A non-symmetric tensor also governs the response of the action to a general coordinate transformation. In non-commutative gauge theory, if translations are suitably combined with gauge transformations, the method yields a covariantly constant tensor which is symmetric but only gauge covariant. Using suitable Wilson functionals, this can be improved to yield a locally conserved and gauge invariant, albeit non-symmetric, energy-momentum tensor. |
1209.3848 | Daniel Carney | Daniel Carney, Willy Fischler, Ely D. Kovetz, Dustin Lorshbough, Sonia
Paban | Rapid field excursions and the inflationary tensor spectrum | null | JHEP 1211 (2012) 042 | 10.1007/JHEP11(2012)042 | UTTG-17-12; TCC-016-12 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the effects of fields with suddenly changing mass on the
inflationary power spectra. In this context, when a field becomes light, it
will be excited. This process contributes to the tensor power spectrum. We
compute these effects in a gauge-invariant manner, where we use a novel
analytical method for evaluating the corrections to the tensor spectrum due to
these excitations. In the case of a scalar field, we show that the net impact
on the tensors is small as long as the perturbative expansion is valid. Thus,
in these scenarios, measurement of tensor modes is still in one-to-one
correspondence with the Hubble scale.
| [
{
"created": "Tue, 18 Sep 2012 05:35:12 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Sep 2012 01:15:09 GMT",
"version": "v2"
}
] | 2014-12-17 | [
[
"Carney",
"Daniel",
""
],
[
"Fischler",
"Willy",
""
],
[
"Kovetz",
"Ely D.",
""
],
[
"Lorshbough",
"Dustin",
""
],
[
"Paban",
"Sonia",
""
]
] | We consider the effects of fields with suddenly changing mass on the inflationary power spectra. In this context, when a field becomes light, it will be excited. This process contributes to the tensor power spectrum. We compute these effects in a gauge-invariant manner, where we use a novel analytical method for evaluating the corrections to the tensor spectrum due to these excitations. In the case of a scalar field, we show that the net impact on the tensors is small as long as the perturbative expansion is valid. Thus, in these scenarios, measurement of tensor modes is still in one-to-one correspondence with the Hubble scale. |
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