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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0908.2114 | Steffen Krusch | Stephen W. Goatham and Steffen Krusch | Fermions, Skyrmions and the 3-Sphere | 19 pages, 2 figures | J.Phys.A43:035402,2010 | 10.1088/1751-8113/43/3/035402 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper investigates a background charge one Skyrme field chirally coupled
to light fermions on the 3-sphere. The Dirac equation for the system commutes
with a generalised angular momentum or grand spin. It can be solved explicitly
for a Skyrme configuration given by the hedgehog form. The energy spectrum and
degeneracies are derived for all values of the grand spin. Solutions for
non-zero grand spin are each characterised by a set of four polynomials. The
paper also discusses the energy of the Dirac sea using zeta function
regularization.
| [
{
"created": "Fri, 14 Aug 2009 18:30:53 GMT",
"version": "v1"
}
] | 2010-01-15 | [
[
"Goatham",
"Stephen W.",
""
],
[
"Krusch",
"Steffen",
""
]
] | This paper investigates a background charge one Skyrme field chirally coupled to light fermions on the 3-sphere. The Dirac equation for the system commutes with a generalised angular momentum or grand spin. It can be solved explicitly for a Skyrme configuration given by the hedgehog form. The energy spectrum and degeneracies are derived for all values of the grand spin. Solutions for non-zero grand spin are each characterised by a set of four polynomials. The paper also discusses the energy of the Dirac sea using zeta function regularization. |
1011.3428 | Tae-Hun Lee | Amitabha Lahiri, Tae-Hun Lee | Particle with non-Abelian charge: classical and quantum | 28 pages, no figure | null | null | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the action for a non-Abelian charged particle in a non-Abelian
background field in the worldline formalism, described by real bosonic
variables, leading to the well known equations given by Wong. The isospin parts
in the action can be viewed as the Lagrange multiplier term corresponding to a
non-holonomic constraint restricting the isospins to be parallel transported.
The path integration is performed over the isospin variables and as a result,
the worldlines turn out to be constrained by the classical solutions for the
isospins. We derive a wave equation from the path integral, constructed as the
constrained Hamiltonian operator acting on the wave function. The operator
ordering corresponding to the quantum Hamiltonian is found and verified by the
inverse Weyl transformation.
| [
{
"created": "Mon, 15 Nov 2010 15:48:53 GMT",
"version": "v1"
},
{
"created": "Tue, 24 May 2011 11:36:51 GMT",
"version": "v2"
}
] | 2011-05-25 | [
[
"Lahiri",
"Amitabha",
""
],
[
"Lee",
"Tae-Hun",
""
]
] | We study the action for a non-Abelian charged particle in a non-Abelian background field in the worldline formalism, described by real bosonic variables, leading to the well known equations given by Wong. The isospin parts in the action can be viewed as the Lagrange multiplier term corresponding to a non-holonomic constraint restricting the isospins to be parallel transported. The path integration is performed over the isospin variables and as a result, the worldlines turn out to be constrained by the classical solutions for the isospins. We derive a wave equation from the path integral, constructed as the constrained Hamiltonian operator acting on the wave function. The operator ordering corresponding to the quantum Hamiltonian is found and verified by the inverse Weyl transformation. |
2102.03850 | Cristian Stelea | Ciprian Dariescu, Marina-Aura Dariescu, Cristian Stelea | Dirac Equation on Kerr--Newman spacetime and Heun functions | 18 pages, 1 figure. v2. updated references | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By employing a pseudo-orthonormal coordinate-free approach, the Dirac
equation for particles in the Kerr--Newman spacetime is separated into its
radial and angular parts. In the massless case to which a special attention is
given, the general Heun-type equations turn into their confluent form. We show
how one recovers some results previously obtained in literature, by other
means.
| [
{
"created": "Sun, 7 Feb 2021 17:13:47 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Feb 2021 13:03:33 GMT",
"version": "v2"
}
] | 2021-02-15 | [
[
"Dariescu",
"Ciprian",
""
],
[
"Dariescu",
"Marina-Aura",
""
],
[
"Stelea",
"Cristian",
""
]
] | By employing a pseudo-orthonormal coordinate-free approach, the Dirac equation for particles in the Kerr--Newman spacetime is separated into its radial and angular parts. In the massless case to which a special attention is given, the general Heun-type equations turn into their confluent form. We show how one recovers some results previously obtained in literature, by other means. |
2208.05391 | Jue Hou | Jue Hou | $T\bar{T}$ flow as characteristic flows | 38 pages, 2 figures, references updated | null | 10.1007/JHEP03(2023)243 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that method of characteristics provides a powerful new point of view
on $T\bar{T}$-and related deformations. Previously, the method of
characteristics has been applied to $T\bar{T}$-deformation mainly to solve
Burgers' equation, which governs the deformation of the \emph{quantum}
spectrum. In the current work, we study \emph{classical} deformed quantities
using this method and show that $T\bar{T}$ flow can be seen as a characteristic
flow. Exploiting this point of view, we re-derive a number of important known
results and obtain interesting new ones. We prove the equivalence between
dynamical change of coordinates and the generalized light-cone gauge approaches
to $T\bar{T}$-deformation. We find the deformed Lagrangians for a class of
$T\bar{T}$-like deformations in higher dimensions and the
$(T\bar{T})^{\alpha}$-deformation in 2d with generic $\alpha$, generalizing
recent results in arXiv:2206.03415 and arXiv:2206.10515.
| [
{
"created": "Wed, 10 Aug 2022 15:11:58 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jan 2023 11:44:47 GMT",
"version": "v2"
}
] | 2023-04-19 | [
[
"Hou",
"Jue",
""
]
] | We show that method of characteristics provides a powerful new point of view on $T\bar{T}$-and related deformations. Previously, the method of characteristics has been applied to $T\bar{T}$-deformation mainly to solve Burgers' equation, which governs the deformation of the \emph{quantum} spectrum. In the current work, we study \emph{classical} deformed quantities using this method and show that $T\bar{T}$ flow can be seen as a characteristic flow. Exploiting this point of view, we re-derive a number of important known results and obtain interesting new ones. We prove the equivalence between dynamical change of coordinates and the generalized light-cone gauge approaches to $T\bar{T}$-deformation. We find the deformed Lagrangians for a class of $T\bar{T}$-like deformations in higher dimensions and the $(T\bar{T})^{\alpha}$-deformation in 2d with generic $\alpha$, generalizing recent results in arXiv:2206.03415 and arXiv:2206.10515. |
0903.2753 | Salvatore Capozziello | S. Capozziello, M. De Laurentis, S. Nojiri, S.D. Odintsov | Classifying and avoiding singularities in the alternative gravity dark
energy models | 21 pages, 12 figures, published version in PRD | Phys.Rev.D79:124007,2009 | 10.1103/PhysRevD.79.124007 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The future finite-time singularities emerging in alternative gravity dark
energy models are classified and studied in Jordan and Einstein frames. It is
shown that such singularity may occur even in flat spacetime for the specific
choice of the effective potential. The conditions for the avoidance of
finite-time singularities are presented and discussed. The problem is reduced
to the study of a scalar field evolving on an effective potential by using the
conformal transformations. Some viable modified gravity models are analyzed in
detail and the way to cure singularity is considered by introducing the
higher-order curvature corrections. These results maybe relevant for the
resolution of the conjectured problem in the relativistic star formation in
such modified gravity where finite-time singularity is also manifested.
| [
{
"created": "Sat, 14 Mar 2009 19:02:44 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jun 2009 14:06:02 GMT",
"version": "v2"
}
] | 2009-06-30 | [
[
"Capozziello",
"S.",
""
],
[
"De Laurentis",
"M.",
""
],
[
"Nojiri",
"S.",
""
],
[
"Odintsov",
"S. D.",
""
]
] | The future finite-time singularities emerging in alternative gravity dark energy models are classified and studied in Jordan and Einstein frames. It is shown that such singularity may occur even in flat spacetime for the specific choice of the effective potential. The conditions for the avoidance of finite-time singularities are presented and discussed. The problem is reduced to the study of a scalar field evolving on an effective potential by using the conformal transformations. Some viable modified gravity models are analyzed in detail and the way to cure singularity is considered by introducing the higher-order curvature corrections. These results maybe relevant for the resolution of the conjectured problem in the relativistic star formation in such modified gravity where finite-time singularity is also manifested. |
1406.1372 | Patrizia Vitale | Patrizia Vitale | Noncommutative field theory on $\mathbb{R}^3_\lambda$ | 12 pages. Conference proceedings. Presented at the workshop
"Noncommutative Field theory and Gravity" Corfu 2013 | null | 10.1002/prop.201400037 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the noncommutative space $\mathbb{R}^3_\lambda$, a deformation of
the algebra of functions on $\mathbb{R}^3$ which yields a foliation of
$\mathbb{R}^3$ into fuzzy spheres. We first review the construction of a
natural matrix basis adapted to $\mathbb{R}^3_\lambda$. We thus consider the
problem of defining a new Laplacian operator for the deformed algebra. We
propose an operator which is not of Jacobi type. The implication for field
theory of the new Laplacian is briefly discussed.
| [
{
"created": "Thu, 5 Jun 2014 13:03:10 GMT",
"version": "v1"
}
] | 2014-06-06 | [
[
"Vitale",
"Patrizia",
""
]
] | We consider the noncommutative space $\mathbb{R}^3_\lambda$, a deformation of the algebra of functions on $\mathbb{R}^3$ which yields a foliation of $\mathbb{R}^3$ into fuzzy spheres. We first review the construction of a natural matrix basis adapted to $\mathbb{R}^3_\lambda$. We thus consider the problem of defining a new Laplacian operator for the deformed algebra. We propose an operator which is not of Jacobi type. The implication for field theory of the new Laplacian is briefly discussed. |
hep-th/9804204 | H. W. Braden | H. W. Braden, V. Varela | The Bogomolny Equations and Solutions for Einstein-Yang-Mills-Dilaton-
$\sigma$ Models | 24 pages LaTex, 1 Figure, revised text for publication | Phys.Rev.D58:124020,1998 | 10.1103/PhysRevD.58.124020 | MS-98-006 | hep-th gr-qc | null | We derive Bogomolny equations for an Einstein-Yang-Mills-dilaton-$\sigma$
model (EYMD-$\sigma$) on a static spacetime, showing that the Einstein
equations are satisfied if and only if the associated (conformally scaled)
three-metric is flat. These are precisely the static metrics for which
super-covariantly constant spinors exist. We study some general properties of
these equations and then consider the problem of obtaining axially symmetric
solutions for the gauge group SU(2).
| [
{
"created": "Thu, 30 Apr 1998 16:27:45 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Sep 1998 14:16:21 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Braden",
"H. W.",
""
],
[
"Varela",
"V.",
""
]
] | We derive Bogomolny equations for an Einstein-Yang-Mills-dilaton-$\sigma$ model (EYMD-$\sigma$) on a static spacetime, showing that the Einstein equations are satisfied if and only if the associated (conformally scaled) three-metric is flat. These are precisely the static metrics for which super-covariantly constant spinors exist. We study some general properties of these equations and then consider the problem of obtaining axially symmetric solutions for the gauge group SU(2). |
1702.07689 | Shinsuke Kawai | Shinsuke Kawai and Jinsu Kim | Gauss-Bonnet Chern-Simons gravitational wave leptogenesis | 5 pages, 2 figures | null | 10.1016/j.physletb.2018.12.019 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The gravitational Chern-Simons term coupled to an evolving axion is known to
generate lepton number through the gravitational anomaly. We examine this
leptogenesis scenario in the presence of the Gauss-Bonnet term over and above
the gravitational Chern-Simons term. We find that the lepton production can be
exponentially enhanced. The Gauss-Bonnet term creates CP-violating instability
of gravitational waves that may appear transiently after inflation, and during
the period of instability elliptically polarized gravitational waves are
exponentially amplified at sub-horizon scales. This instability does not affect
the spectrum of the cosmic microwave background as it occurs at much shorter
length scales. In a typical scenario based on natural inflation, the observed
baryon asymmetry of the Universe corresponds to the UV cutoff scale at
$10^{14-16}$ GeV.
| [
{
"created": "Fri, 24 Feb 2017 18:11:34 GMT",
"version": "v1"
}
] | 2018-12-19 | [
[
"Kawai",
"Shinsuke",
""
],
[
"Kim",
"Jinsu",
""
]
] | The gravitational Chern-Simons term coupled to an evolving axion is known to generate lepton number through the gravitational anomaly. We examine this leptogenesis scenario in the presence of the Gauss-Bonnet term over and above the gravitational Chern-Simons term. We find that the lepton production can be exponentially enhanced. The Gauss-Bonnet term creates CP-violating instability of gravitational waves that may appear transiently after inflation, and during the period of instability elliptically polarized gravitational waves are exponentially amplified at sub-horizon scales. This instability does not affect the spectrum of the cosmic microwave background as it occurs at much shorter length scales. In a typical scenario based on natural inflation, the observed baryon asymmetry of the Universe corresponds to the UV cutoff scale at $10^{14-16}$ GeV. |
hep-th/0212333 | Matt Visser | Matt Visser (Victoria University of Wellington), David L. Wiltshire
(University of Canterbury) | On-brane data for braneworld stars | 5 pages, RevTeX4, v2: Main algorithm and results substantially
simplified, further discussion and references added | Phys.Rev. D67 (2003) 104004 | 10.1103/PhysRevD.67.104004 | null | hep-th astro-ph gr-qc | null | Stellar structure in braneworlds is markedly different from that in ordinary
general relativity. As an indispensable first step towards a more general
analysis, we completely solve the ``on brane'' 4-dimensional Gauss and Codazzi
equations for an arbitrary static spherically symmetric star in a
Randall--Sundrum type II braneworld. We then indicate how this on-brane
boundary data should be propagated into the bulk in order to determine the full
5-dimensional spacetime geometry. Finally, we demonstrate how this procedure
can be generalized to solid objects such as planets.
| [
{
"created": "Mon, 30 Dec 2002 04:52:45 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Feb 2003 02:50:13 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Visser",
"Matt",
"",
"Victoria University of Wellington"
],
[
"Wiltshire",
"David L.",
"",
"University of Canterbury"
]
] | Stellar structure in braneworlds is markedly different from that in ordinary general relativity. As an indispensable first step towards a more general analysis, we completely solve the ``on brane'' 4-dimensional Gauss and Codazzi equations for an arbitrary static spherically symmetric star in a Randall--Sundrum type II braneworld. We then indicate how this on-brane boundary data should be propagated into the bulk in order to determine the full 5-dimensional spacetime geometry. Finally, we demonstrate how this procedure can be generalized to solid objects such as planets. |
hep-th/0307045 | Yun Soo Myung | Y. S. Myung | Holographic temperature bound in the slow-roll inflation | 9 pages, 1figure | null | null | INJE-TP-03-07 | hep-th | null | We investigate the relationship between the holographic temperature bound and
the slow-roll inflation. For this purpose we introduce the holographic
temperature bound for a radiation matter :$T \ge T_{\rm H}$. Here $T_{\rm H}$
is the Hubble temperature which arises from the cosmological holographic
description of for a radiation-dominated universe. For the quasi-de Sitter
phase of slow-roll inflation, we find that the holographic temperature bound of
$T_{\rm GH} \ge T_{\rm H}$ is guaranteed with the Gibbons-Hawking temperature
$T_{\rm GH}$. When $T_{\rm GH}= T_{\rm H}$, inflation ends.
| [
{
"created": "Fri, 4 Jul 2003 02:41:04 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Myung",
"Y. S.",
""
]
] | We investigate the relationship between the holographic temperature bound and the slow-roll inflation. For this purpose we introduce the holographic temperature bound for a radiation matter :$T \ge T_{\rm H}$. Here $T_{\rm H}$ is the Hubble temperature which arises from the cosmological holographic description of for a radiation-dominated universe. For the quasi-de Sitter phase of slow-roll inflation, we find that the holographic temperature bound of $T_{\rm GH} \ge T_{\rm H}$ is guaranteed with the Gibbons-Hawking temperature $T_{\rm GH}$. When $T_{\rm GH}= T_{\rm H}$, inflation ends. |
hep-th/0701156 | Amer Iqbal | Amer Iqbal, Can Kozcaz, Cumrun Vafa | The Refined Topological Vertex | 70 Pages, 23 Figures | JHEP 0910:069,2009 | 10.1088/1126-6708/2009/10/069 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We define a refined topological vertex which depends in addition on a
parameter, which physically corresponds to extending the self-dual graviphoton
field strength to a more general configuration. Using this refined topological
vertex we compute, using geometric engineering, a two-parameter (equivariant)
instanton expansion of gauge theories which reproduce the results of Nekrasov.
The refined vertex is also expected to be related to Khovanov knot invariants.
| [
{
"created": "Wed, 17 Jan 2007 17:29:57 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Mar 2009 09:19:33 GMT",
"version": "v2"
}
] | 2009-11-05 | [
[
"Iqbal",
"Amer",
""
],
[
"Kozcaz",
"Can",
""
],
[
"Vafa",
"Cumrun",
""
]
] | We define a refined topological vertex which depends in addition on a parameter, which physically corresponds to extending the self-dual graviphoton field strength to a more general configuration. Using this refined topological vertex we compute, using geometric engineering, a two-parameter (equivariant) instanton expansion of gauge theories which reproduce the results of Nekrasov. The refined vertex is also expected to be related to Khovanov knot invariants. |
1501.05573 | Steven Avery | Steven G. Avery, David A. Lowe | Typical Event Horizons in AdS/CFT | 8 pages, 2 figures. arXiv admin note: text overlap with
arXiv:1310.7999 | null | 10.1007/JHEP01(2016)082 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the construction of local bulk operators in a black hole
background dual to a pure state in conformal field theory. The properties of
these operators in a microcanonical ensemble are studied. It has been argued in
the literature that typical states in such an ensemble contain firewalls, or
otherwise singular horizons. We argue this conclusion can be avoided with a
proper definition of the interior operators.
| [
{
"created": "Thu, 22 Jan 2015 16:53:36 GMT",
"version": "v1"
}
] | 2016-02-17 | [
[
"Avery",
"Steven G.",
""
],
[
"Lowe",
"David A.",
""
]
] | We consider the construction of local bulk operators in a black hole background dual to a pure state in conformal field theory. The properties of these operators in a microcanonical ensemble are studied. It has been argued in the literature that typical states in such an ensemble contain firewalls, or otherwise singular horizons. We argue this conclusion can be avoided with a proper definition of the interior operators. |
hep-th/9209047 | null | H.J. de Vega, A. V. Mikhailov and N. Sanchez | Exact String Solutions in 2+1-Dimensional De Sitter Spacetime | 11 pages, Phyzzx macropackage used, PAR-LPTHE 92/32. Revised version
with a new understanding of the previous results | Theor.Math.Phys. 94 (1993) 166-172; Teor.Mat.Fiz. 94N2 (1993)
232-240 | 10.1007/BF01019328 | null | hep-th astro-ph gr-qc | null | Exact and explicit string solutions in de Sitter spacetime are found. (Here,
the string equations reduce to a sinh-Gordon model). A new feature without flat
spacetime analogy appears: starting with a single world-sheet, several (here
two) strings emerge. One string is stable and the other (unstable) grows as the
universe grows. Their invariant size and energy either grow as the expansion
factor or tend to constant. Moreover, strings can expand (contract) for large
(small) universe radius with a different rate than the universe.
| [
{
"created": "Mon, 14 Sep 1992 16:40:00 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Sep 1993 14:46:01 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"de Vega",
"H. J.",
""
],
[
"Mikhailov",
"A. V.",
""
],
[
"Sanchez",
"N.",
""
]
] | Exact and explicit string solutions in de Sitter spacetime are found. (Here, the string equations reduce to a sinh-Gordon model). A new feature without flat spacetime analogy appears: starting with a single world-sheet, several (here two) strings emerge. One string is stable and the other (unstable) grows as the universe grows. Their invariant size and energy either grow as the expansion factor or tend to constant. Moreover, strings can expand (contract) for large (small) universe radius with a different rate than the universe. |
0906.3301 | Waldemar Schulgin | Davide Forcella, Waldemar Schulgin | Spin chain for the deformed ABJM theory | 25 pages, 2 figures; references added | null | 10.1088/1126-6708/2009/11/107 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this short note we begin the analysis of deformed integrable Chern-Simons
theories. We construct the two loop dilatation operator for the scalar sector
of the ABJM theory with $k1 \neq -k2$ and we compute the anomalous dimension of
some operators.
| [
{
"created": "Thu, 18 Jun 2009 16:55:20 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Sep 2009 00:35:27 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Forcella",
"Davide",
""
],
[
"Schulgin",
"Waldemar",
""
]
] | In this short note we begin the analysis of deformed integrable Chern-Simons theories. We construct the two loop dilatation operator for the scalar sector of the ABJM theory with $k1 \neq -k2$ and we compute the anomalous dimension of some operators. |
hep-th/0512103 | Takeshi Morita | Takeshi Morita | Super Yang-Mills Theory from a Supermatrix Model | 24 pages, published version | Prog.Theor.Phys.116:217-240,2006 | 10.1143/PTP.116.217 | KUNS-1999 | hep-th | null | It is known that Yang-Mills theories on non-commutative space can be derived
from large-N reduced models. Gauge fields in non-commutative Yang-Mills
theories can be described as fluctuations of matrices expanded about an
appropriate classical solution of the reduced models. We investigate a
generalization of this procedure in superfield formalism. We show that we can
construct a supermatrix model such that D=4 $\N=1$ super Yang-Mills theory can
be derived from it. In addition, we can couple matter supermatrices to this
supermatrix model and also construct models corresponding to $\N=2$ and $\N=4$
super Yang-Mills theories. In these investigations, we need to introduce a new
non-anti-commutative superspace, and we investigate the definition of field
theories on this space.
| [
{
"created": "Thu, 8 Dec 2005 22:32:15 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Dec 2005 19:33:57 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Dec 2005 20:43:51 GMT",
"version": "v3"
},
{
"created": "Wed, 21 Jun 2006 08:17:18 GMT",
"version": "v4"
},
{
"created": "Thu, 6 Jul 2006 13:33:21 GMT",
"version": "v5"
}
] | 2008-11-26 | [
[
"Morita",
"Takeshi",
""
]
] | It is known that Yang-Mills theories on non-commutative space can be derived from large-N reduced models. Gauge fields in non-commutative Yang-Mills theories can be described as fluctuations of matrices expanded about an appropriate classical solution of the reduced models. We investigate a generalization of this procedure in superfield formalism. We show that we can construct a supermatrix model such that D=4 $\N=1$ super Yang-Mills theory can be derived from it. In addition, we can couple matter supermatrices to this supermatrix model and also construct models corresponding to $\N=2$ and $\N=4$ super Yang-Mills theories. In these investigations, we need to introduce a new non-anti-commutative superspace, and we investigate the definition of field theories on this space. |
2212.09389 | Herman Verlinde | Erik Verlinde and Herman Verlinde | A Conversation on ER = EPR | 7 pages, no figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Ten years ago this week, the two authors had an email conversation about
black holes, ER bridges, and EPR entanglement. This brief note contains a
verbatim translation of these emails. While the ideas expressed in this email
dialogue linking [1] and [2] are more mainstream now than they were back then,
there are still many unresolved puzzles, some of which are discussed in this
old correspondence.
| [
{
"created": "Mon, 19 Dec 2022 11:58:19 GMT",
"version": "v1"
}
] | 2022-12-20 | [
[
"Verlinde",
"Erik",
""
],
[
"Verlinde",
"Herman",
""
]
] | Ten years ago this week, the two authors had an email conversation about black holes, ER bridges, and EPR entanglement. This brief note contains a verbatim translation of these emails. While the ideas expressed in this email dialogue linking [1] and [2] are more mainstream now than they were back then, there are still many unresolved puzzles, some of which are discussed in this old correspondence. |
2312.10559 | Zane Ozzello | Zane Ozzello, Yannick Meurice | Bootstrap methods for digitized scalar field theory | 7 pages, 4 figures; 40th International Symposium on Lattice Field
Theory | null | null | null | hep-th hep-lat quant-ph | http://creativecommons.org/licenses/by/4.0/ | General positivity constraints linking various powers of observables in
energy eigenstates can be used to sharply locate acceptable regions for the
energy eigenvalues, provided that efficient recursive methods are available to
calculate the matrix elements. These recursive methods are derived by looking
at the commutation relations of the observables with the Hamiltonian. We
discuss how this self-consistent (bootstrap) approach can be applied to the
study of digitized scalar field theory in the harmonic basis. Using known
results, we develop the method by testing on quantum systems, including the
harmonic and anharmonic oscillators. We report recent numerical results for up
to four coupled anharmonic oscillators. From here, we consider the possibility
of using the groundwork of this method as a means of studying phase transitions
in 1+1 dimensions.
| [
{
"created": "Sat, 16 Dec 2023 23:17:58 GMT",
"version": "v1"
}
] | 2023-12-22 | [
[
"Ozzello",
"Zane",
""
],
[
"Meurice",
"Yannick",
""
]
] | General positivity constraints linking various powers of observables in energy eigenstates can be used to sharply locate acceptable regions for the energy eigenvalues, provided that efficient recursive methods are available to calculate the matrix elements. These recursive methods are derived by looking at the commutation relations of the observables with the Hamiltonian. We discuss how this self-consistent (bootstrap) approach can be applied to the study of digitized scalar field theory in the harmonic basis. Using known results, we develop the method by testing on quantum systems, including the harmonic and anharmonic oscillators. We report recent numerical results for up to four coupled anharmonic oscillators. From here, we consider the possibility of using the groundwork of this method as a means of studying phase transitions in 1+1 dimensions. |
hep-th/0606106 | Norma Sanchez | M. Ramon Medrano and N. G. Sanchez | The SL(2,R)WZWN string model as a deformed oscillator and its
classical-quantum string regimes | 11 pages; no figures | Mod.Phys.Lett.A22:1133-1142,2007 | 10.1142/S0217732307023456 | null | hep-th math-ph math.MP | null | We study the SL(2,R) WZWN string model describing bosonic string theory in
AdS_3 space-time as a deformed oscillator together with its mass spectrum and
the string modified SL(2,R) uncertainty relation. The SL(2,R) string oscillator
is far more quantum (with higher quantum uncertainty) and more excited than the
non deformed one. This is accompassed by the highly excited string mass
spectrum which is drastically changed with respect to the low excited one. The
highly excited quantum string regime and the low excited semiclassical regime
of the SL(2,R) string model are described and shown to be the quantum-classical
dual of each other in the precise sense of the usual classical-quantum duality.
This classical-quantum realization is not assumed nor conjectured. The quantum
regime (high curvature) displays a modified Heisenberg's uncertainty relation,
while the classical (low curvature) regime has the usual quantum mechanics
uncertainty principle.
| [
{
"created": "Mon, 12 Jun 2006 16:01:57 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Medrano",
"M. Ramon",
""
],
[
"Sanchez",
"N. G.",
""
]
] | We study the SL(2,R) WZWN string model describing bosonic string theory in AdS_3 space-time as a deformed oscillator together with its mass spectrum and the string modified SL(2,R) uncertainty relation. The SL(2,R) string oscillator is far more quantum (with higher quantum uncertainty) and more excited than the non deformed one. This is accompassed by the highly excited string mass spectrum which is drastically changed with respect to the low excited one. The highly excited quantum string regime and the low excited semiclassical regime of the SL(2,R) string model are described and shown to be the quantum-classical dual of each other in the precise sense of the usual classical-quantum duality. This classical-quantum realization is not assumed nor conjectured. The quantum regime (high curvature) displays a modified Heisenberg's uncertainty relation, while the classical (low curvature) regime has the usual quantum mechanics uncertainty principle. |
1108.0323 | Stephan Stieberger | S. Hohenegger, S. Stieberger | BPS Saturated String Amplitudes: K3 Elliptic Genus and Igusa Cusp Form | 45 pages, LaTeX; v2: two references added, final version to appear in
NPB | null | 10.1016/j.nuclphysb.2011.11.012 | MPP-2011-77 | hep-th math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study BPS saturated one-loop amplitudes in type II string theory
compactified on K3 x T^2. The classes of amplitudes we consider are only
sensitive to the very basic topological data of the internal K3 manifold. As a
consequence, the integrands of the former are related to the elliptic genus of
K3, which can be decomposed into representations of the internal N=4
superconformal algebra. Depending on the precise choice of external states
these amplitudes capture either only the contribution of the short multiplets
or the full series including intermediate multiplets. In the latter case we can
define a generating functional for the whole class, which we show is given by
the weight ten Igusa cusp form chi_{10} of Sp(4,Z). We speculate on possible
algebraic implications of our result on the BPS states of the N=4 type II
compactification.
| [
{
"created": "Mon, 1 Aug 2011 14:23:59 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Nov 2011 23:24:53 GMT",
"version": "v2"
}
] | 2015-05-30 | [
[
"Hohenegger",
"S.",
""
],
[
"Stieberger",
"S.",
""
]
] | We study BPS saturated one-loop amplitudes in type II string theory compactified on K3 x T^2. The classes of amplitudes we consider are only sensitive to the very basic topological data of the internal K3 manifold. As a consequence, the integrands of the former are related to the elliptic genus of K3, which can be decomposed into representations of the internal N=4 superconformal algebra. Depending on the precise choice of external states these amplitudes capture either only the contribution of the short multiplets or the full series including intermediate multiplets. In the latter case we can define a generating functional for the whole class, which we show is given by the weight ten Igusa cusp form chi_{10} of Sp(4,Z). We speculate on possible algebraic implications of our result on the BPS states of the N=4 type II compactification. |
hep-th/9608109 | Ori Ganor | Ori J. Ganor | Toroidal Compactification of Heterotic 6D Non-Critical Strings Down to
Four Dimensions | 15pp LaTeX | Nucl.Phys.B488:223-235,1997 | 10.1016/S0550-3213(96)00687-6 | PUPT-1641 | hep-th | null | The low-energy limit of the 6D non-critical string theory with $N=1$ SUSY and
$E_8$ chiral current algebra compactified on $T^2$ is generically an $N=2$
$U(1)$ vector multiplet. We study the analog of the Seiberg-Witten solution for
the low-energy effective action as a function of $E_8$ Wilson lines on the
compactified torus and the complex modulus of that torus. The moduli space
includes regions where the Seiberg-Witten curves for $SU(2)$ QCD are recovered
as well as regions where the newly discovered 4D theories with enhanced
$E_{6,7,8}$ global symmetries appear.
| [
{
"created": "Thu, 15 Aug 1996 23:39:23 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Aug 1996 05:34:08 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Ganor",
"Ori J.",
""
]
] | The low-energy limit of the 6D non-critical string theory with $N=1$ SUSY and $E_8$ chiral current algebra compactified on $T^2$ is generically an $N=2$ $U(1)$ vector multiplet. We study the analog of the Seiberg-Witten solution for the low-energy effective action as a function of $E_8$ Wilson lines on the compactified torus and the complex modulus of that torus. The moduli space includes regions where the Seiberg-Witten curves for $SU(2)$ QCD are recovered as well as regions where the newly discovered 4D theories with enhanced $E_{6,7,8}$ global symmetries appear. |
1611.07313 | Paolo Valtancoli | Paolo Valtancoli | Dirac oscillator and minimal length | 11 pages, no figures | null | 10.1063/1.4984312 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how to solve the Dirac oscillator with a minimal length by using
previous results on the harmonic oscillator in a Snyder algebra.
| [
{
"created": "Tue, 22 Nov 2016 14:22:55 GMT",
"version": "v1"
}
] | 2017-06-28 | [
[
"Valtancoli",
"Paolo",
""
]
] | We show how to solve the Dirac oscillator with a minimal length by using previous results on the harmonic oscillator in a Snyder algebra. |
1506.01566 | Alexandros Kehagias | Sergio Ferrara, Alex Kehagias, Massimo Porrati | ${\cal R}^2$ Supergravity | 12 pages | null | null | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We formulate $R^2$ pure supergravity as a scale invariant theory built only
in terms of superfields describing the geometry of curved superspace. The
standard supergravity duals are obtained in both "old" and "new" minimal
formulations of auxiliary fields. These theories have massless fields in de
Sitter space as they do in their non supersymmetric counterpart. Remarkably,
the dual theory of $R^2$ supergravity in the new minimal formulation is an
extension of the Freedman model, describing a massless gauge field and a
massless chiral multiplet in de Sitter space, with inverse radius proportional
to the Fayet-Iliopoulos term. This model can be interpreted as the "de-Higgsed"
phase of the dual companion theory of $R+R^2$ supergravity.
| [
{
"created": "Thu, 4 Jun 2015 12:57:17 GMT",
"version": "v1"
}
] | 2015-06-05 | [
[
"Ferrara",
"Sergio",
""
],
[
"Kehagias",
"Alex",
""
],
[
"Porrati",
"Massimo",
""
]
] | We formulate $R^2$ pure supergravity as a scale invariant theory built only in terms of superfields describing the geometry of curved superspace. The standard supergravity duals are obtained in both "old" and "new" minimal formulations of auxiliary fields. These theories have massless fields in de Sitter space as they do in their non supersymmetric counterpart. Remarkably, the dual theory of $R^2$ supergravity in the new minimal formulation is an extension of the Freedman model, describing a massless gauge field and a massless chiral multiplet in de Sitter space, with inverse radius proportional to the Fayet-Iliopoulos term. This model can be interpreted as the "de-Higgsed" phase of the dual companion theory of $R+R^2$ supergravity. |
1306.2196 | Sudhakar Panda | Anindita Bhattacharjee and Atri Deshamukhya | Warming up D3 brane motion in the background of D5 brane and Inflation | 13 pages, 4 figures. A new section has been incorporated | null | 10.1140/epjc/s10052-014-3135-5 | null | hep-th astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The position of a mobile D-3 brane moving towards a stack of localized D-5
branes has been studied as a candidate driving inflation in the warm
inflationary scenario. We compare the results obtained by considering the
dissipation parameter $\Gamma$ as an arbitrary function of only the inflaton
field and a particular form derived by Bastro-Gil et al \cite{Berera8}. We find
that the observables remain well within the recent observational constraint for
a wide range of model parameters for the first case whereas the spectral index
in the later case is always predicted blue, other cosmological observables
remaining well within bound for a wider range of parameters though. We also
discuss the non-gaussianity generated during inflation in this model.
| [
{
"created": "Mon, 10 Jun 2013 13:22:55 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jun 2013 14:20:49 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Mar 2014 14:42:15 GMT",
"version": "v3"
}
] | 2015-06-16 | [
[
"Bhattacharjee",
"Anindita",
""
],
[
"Deshamukhya",
"Atri",
""
]
] | The position of a mobile D-3 brane moving towards a stack of localized D-5 branes has been studied as a candidate driving inflation in the warm inflationary scenario. We compare the results obtained by considering the dissipation parameter $\Gamma$ as an arbitrary function of only the inflaton field and a particular form derived by Bastro-Gil et al \cite{Berera8}. We find that the observables remain well within the recent observational constraint for a wide range of model parameters for the first case whereas the spectral index in the later case is always predicted blue, other cosmological observables remaining well within bound for a wider range of parameters though. We also discuss the non-gaussianity generated during inflation in this model. |
hep-th/9702189 | null | Gianfranco Pradisi (Universita' di Roma ``Tor Vergata'') | Geometrical Construction of Type I Superstring Vacua | 12 pages, latex, no figures; contribution to the Proceedings of the
12th Italian Conference on General Relativity and Gravitational Physics,
Rome, september 23-27, 1996 | null | null | ROM2F-97-07 | hep-th | null | The parameter-space orbifold construction of open and unoriented toroidal and
(target-space) orbifold compactifications is briefly reviewed, with emphasis on
the underlying geometrical framework. A class of chiral four-dimensional type-I
vacua with three generations is also discussed.
| [
{
"created": "Wed, 26 Feb 1997 17:29:19 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Pradisi",
"Gianfranco",
"",
"Universita' di Roma ``Tor Vergata''"
]
] | The parameter-space orbifold construction of open and unoriented toroidal and (target-space) orbifold compactifications is briefly reviewed, with emphasis on the underlying geometrical framework. A class of chiral four-dimensional type-I vacua with three generations is also discussed. |
hep-th/9404187 | Andrew Barvinski | A.O.Barvinsky, Yu.V.Gusev, G.A.Vilkovisky and V.V.Zhytnikov | The one-loop effective action and trace anomaly in four dimensions | 26 pages, REVTeX, Alberta Thy 15-94 | Nucl.Phys. B439 (1995) 561-582 | 10.1016/0550-3213(94)00585-3 | null | hep-th | null | The one-loop effective action for a generic set of quantum fields is
calculared as a nonlocal expansion in powers of the curvatures (field
strengths). This expansion is obtained to third order in the curvature. It is
stressed that the covariant vertices are finite. The trace anomaly in four
dimensions is obtained directly by varying the effective action. The nonlocal
terms in the action, producing the anomaly, contain non-trivial functions of
three operator arguments. The trace anomaly is derived also by making the
conformal transformation in the heat kernel.
| [
{
"created": "Fri, 29 Apr 1994 22:43:42 GMT",
"version": "v1"
},
{
"created": "Tue, 3 May 1994 01:05:15 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Barvinsky",
"A. O.",
""
],
[
"Gusev",
"Yu. V.",
""
],
[
"Vilkovisky",
"G. A.",
""
],
[
"Zhytnikov",
"V. V.",
""
]
] | The one-loop effective action for a generic set of quantum fields is calculared as a nonlocal expansion in powers of the curvatures (field strengths). This expansion is obtained to third order in the curvature. It is stressed that the covariant vertices are finite. The trace anomaly in four dimensions is obtained directly by varying the effective action. The nonlocal terms in the action, producing the anomaly, contain non-trivial functions of three operator arguments. The trace anomaly is derived also by making the conformal transformation in the heat kernel. |
0910.4986 | Daniel Meerburg | P. Daniel Meerburg, Jan Pieter van der Schaar, Mark G. Jackson | Bispectrum signatures of a modified vacuum in single field inflation
with a small speed of sound | 34 pages, 8 figures, 2 appendices. New in this version: added
references, fixed typos, modified sentences. Version submitted to JCAP | JCAP 1002:001,2010 | 10.1088/1475-7516/2010/02/001 | null | hep-th astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Deviations from the Bunch-Davies vacuum during an inflationary period can
leave a testable imprint on the higher-order correlations of the CMB and large
scale structures in the Universe. The effect is particularly pronounced if the
statistical non-Gaussianity is inherently large, such as in models of inflation
with a small speed of sound, e.g. DBI. First reviewing the motivations for a
modified vacuum, we calculate the non-Gaussianity for a general action with a
small speed of sound. The shape of its bispectrum is found to most resemble the
'orthogonal' or 'local' templates depending on the phase of the Bogolyubov
parameter. In particular, for DBI models of inflation the bispectrum can have a
profound 'local' template feature, in contrast to previous results. Determining
the projection into the observational templates allows us to derive constraints
on the absolute value of the Bogolyubov parameter. In the small sound speed
limit, the derived constraints are generally stronger than the existing
constraint derived from the power spectrum. The bound on the absolute value of
the Bogolyubov parameter ranges from the 10^-6 to the 10^-3 level for
H/\Lambda_c = 10^-3, depending on the specific details of the model, the sound
speed and the phase of the Bogolyubov parameter.
| [
{
"created": "Tue, 27 Oct 2009 13:15:11 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Nov 2009 16:15:17 GMT",
"version": "v2"
}
] | 2010-02-05 | [
[
"Meerburg",
"P. Daniel",
""
],
[
"van der Schaar",
"Jan Pieter",
""
],
[
"Jackson",
"Mark G.",
""
]
] | Deviations from the Bunch-Davies vacuum during an inflationary period can leave a testable imprint on the higher-order correlations of the CMB and large scale structures in the Universe. The effect is particularly pronounced if the statistical non-Gaussianity is inherently large, such as in models of inflation with a small speed of sound, e.g. DBI. First reviewing the motivations for a modified vacuum, we calculate the non-Gaussianity for a general action with a small speed of sound. The shape of its bispectrum is found to most resemble the 'orthogonal' or 'local' templates depending on the phase of the Bogolyubov parameter. In particular, for DBI models of inflation the bispectrum can have a profound 'local' template feature, in contrast to previous results. Determining the projection into the observational templates allows us to derive constraints on the absolute value of the Bogolyubov parameter. In the small sound speed limit, the derived constraints are generally stronger than the existing constraint derived from the power spectrum. The bound on the absolute value of the Bogolyubov parameter ranges from the 10^-6 to the 10^-3 level for H/\Lambda_c = 10^-3, depending on the specific details of the model, the sound speed and the phase of the Bogolyubov parameter. |
hep-th/9603206 | Mimura | Eric D'Hoker, Yukihiro Mimura, and Norisuke Sakai | Gauge Symmetry Breaking through Soft Masses in Supersymmetric Gauge
Theories | LaTeX file, 37 page, some minor changes are included. Especially, the
descriptions of sect. 2.5 are a little changed. Basic results are unchanged | Phys.Rev. D54 (1996) 7724-7740 | 10.1103/PhysRevD.54.7724 | TIT/HEP-317, UCLA/96/TEP/11 | hep-th hep-ph | null | We analyze the effects of soft supersymmetry breaking terms on N=1
supersymmetric QCD with $N_f$ flavors and color gauge group $SU(N_c)$. The mass
squared of some squarks may be negative, as long as vacuum stability is ensured
by a simple mass inequality. For $N_f<N_c$, we include the dynamics of the
non-perturbative superpotential and use the original (s)quark and gauge fields,
while for $N_f>N_c+1$, we formulate the dynamics in terms of dual (s)quarks and
a dual gauge group $SU(N_f-N_c)$. The presence of negative squark mass squared
terms leads to spontaneous breakdown of flavor and color symmetry. We determine
this breaking pattern, derive the spectrum, and argue that the masses vary
smoothly as one crosses from the Higgs phase into the confining phase.
| [
{
"created": "Sat, 30 Mar 1996 03:26:21 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Apr 1996 07:49:36 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Sep 1996 12:42:32 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"D'Hoker",
"Eric",
""
],
[
"Mimura",
"Yukihiro",
""
],
[
"Sakai",
"Norisuke",
""
]
] | We analyze the effects of soft supersymmetry breaking terms on N=1 supersymmetric QCD with $N_f$ flavors and color gauge group $SU(N_c)$. The mass squared of some squarks may be negative, as long as vacuum stability is ensured by a simple mass inequality. For $N_f<N_c$, we include the dynamics of the non-perturbative superpotential and use the original (s)quark and gauge fields, while for $N_f>N_c+1$, we formulate the dynamics in terms of dual (s)quarks and a dual gauge group $SU(N_f-N_c)$. The presence of negative squark mass squared terms leads to spontaneous breakdown of flavor and color symmetry. We determine this breaking pattern, derive the spectrum, and argue that the masses vary smoothly as one crosses from the Higgs phase into the confining phase. |
hep-th/0109019 | Atish Dabholkar | Atish Dabholkar | On Condensation of Closed-string Tachyons | 16 pages, 2 figures, harvmac(b) | Nucl.Phys. B639 (2002) 331-342 | 10.1016/S0550-3213(02)00501-1 | TIFR/TH/01-35 | hep-th | null | An F-theory dual of a nonsupersymmetric orientifold is considered. It is
argued that the condensation of both open and closed string tachyons in the
orientifold corresponds to the annihilation of branes and anti-branes in the
F-theory dual. The end-point of tachyon condensation is thus expected to be the
vacuum of Type-IIB superstring. Some speculations are presented about the
F-theory dual of the bosonic string and tachyon condensation thereof.
| [
{
"created": "Tue, 4 Sep 2001 06:49:35 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Dabholkar",
"Atish",
""
]
] | An F-theory dual of a nonsupersymmetric orientifold is considered. It is argued that the condensation of both open and closed string tachyons in the orientifold corresponds to the annihilation of branes and anti-branes in the F-theory dual. The end-point of tachyon condensation is thus expected to be the vacuum of Type-IIB superstring. Some speculations are presented about the F-theory dual of the bosonic string and tachyon condensation thereof. |
hep-th/9408032 | Kalmykov M. Yu | M.Yu.Kalmykov, P.I.Pronin and K.V.Stepanyantz | Projective Invariance and One-Loop Effective Action in Affine-Metric
Gravity Interacting with Scalar Field | 10 pages, LATEX | Class.Quant.Grav.11:2645-2652,1994 | 10.1088/0264-9381/11/11/007 | null | hep-th gr-qc | null | We investigate the influence of the projective invariance on the
renormalization properties of the theory. One-loop counterterms are calculated
in the most general case of interaction of gravity with scalar field.
| [
{
"created": "Fri, 5 Aug 1994 14:58:54 GMT",
"version": "v1"
}
] | 2010-04-06 | [
[
"Kalmykov",
"M. Yu.",
""
],
[
"Pronin",
"P. I.",
""
],
[
"Stepanyantz",
"K. V.",
""
]
] | We investigate the influence of the projective invariance on the renormalization properties of the theory. One-loop counterterms are calculated in the most general case of interaction of gravity with scalar field. |
1208.1608 | Hiroshi Yoda | Hiroshi Yoda and Shin'ichi Nojiri | Classical Dimensional Transmutation and Renormalization in Massive
lambda phi^4 Model | version corrected some typos and a missing reference and to appear in
Physics Letters B, 6 pages | Phys. Lett. B718 (2012) 683-686 | 10.1016/j.physletb.2012.11.006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, Dvali, Gomez, and Mukhanov have investigated a classical lambda
phi^4 model with external source and without mass and they have clarified that
there are underlying renormalization group structure, including the phenomenon
of the dimensional transmutation, at purely classical level. Especially when
the coupling lambda is negative, the classical beta function shows the property
of asymptotic freedom as in QCD. In this paper, we investigate the lambda phi^4
model with mass, and clarify the role of the mass. The obtained classical beta
function is identical with that of the massless lambda phi^4 model up to the
corrections of the ratio of the IR cutoff to UV cutoff, and describes the
renormalization flow same as the massless theory. We also found that the
dynamically generated scale of massive theory is larger than that of massless
theory, which could be due to the screening effect of the mass term.
| [
{
"created": "Wed, 8 Aug 2012 08:22:11 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Nov 2012 17:39:17 GMT",
"version": "v2"
}
] | 2012-11-27 | [
[
"Yoda",
"Hiroshi",
""
],
[
"Nojiri",
"Shin'ichi",
""
]
] | Recently, Dvali, Gomez, and Mukhanov have investigated a classical lambda phi^4 model with external source and without mass and they have clarified that there are underlying renormalization group structure, including the phenomenon of the dimensional transmutation, at purely classical level. Especially when the coupling lambda is negative, the classical beta function shows the property of asymptotic freedom as in QCD. In this paper, we investigate the lambda phi^4 model with mass, and clarify the role of the mass. The obtained classical beta function is identical with that of the massless lambda phi^4 model up to the corrections of the ratio of the IR cutoff to UV cutoff, and describes the renormalization flow same as the massless theory. We also found that the dynamically generated scale of massive theory is larger than that of massless theory, which could be due to the screening effect of the mass term. |
1812.07162 | Koichi Nagasaki | Koichi Nagasaki | Interface in AdS black hole spacetime | 10 pages, 9 figures, some figures and conclusion are added | Prog Theor Exp Phys (2020) | 10.1093/ptep/ptz164 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a defect solution in the AdS5 x S5 spacetime. This is the
generalization of the previous work [arXiv:1109.1927] to the other spacetime.
This also gives the generalization of Complexity and Action relation
[arXiv:1705.08424] including the flux. The equation of motion for an interface
is given and its solution is shown by the numerical calculation. We also
consider the Nambu-Goto action of the string affected by this interface. This
corresponds the quark-interface potential in the black hole spacetime.
| [
{
"created": "Tue, 18 Dec 2018 04:12:37 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Apr 2019 21:39:59 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Apr 2019 21:18:50 GMT",
"version": "v3"
},
{
"created": "Thu, 28 Nov 2019 05:37:31 GMT",
"version": "v4"
}
] | 2020-02-26 | [
[
"Nagasaki",
"Koichi",
""
]
] | We consider a defect solution in the AdS5 x S5 spacetime. This is the generalization of the previous work [arXiv:1109.1927] to the other spacetime. This also gives the generalization of Complexity and Action relation [arXiv:1705.08424] including the flux. The equation of motion for an interface is given and its solution is shown by the numerical calculation. We also consider the Nambu-Goto action of the string affected by this interface. This corresponds the quark-interface potential in the black hole spacetime. |
1003.2408 | Massimiliano Rinaldi | Massimiliano Rinaldi | Particle production and transplanckian problem on the non-commutative
plane | Minor typos corrected, references added. Accepted for publication by
Modern Physics Letter A | Mod. Phys. Lett. A, 25 33 (2010) 2805 | 10.1142/S0217732310034158 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the coherent state approach to non-commutativity, and we derive
from it an effective quantum scalar field theory. We show how the
non-commutativity can be taken in account by a suitable modification of the
Klein-Gordon product, and of the equal-time commutation relations. We prove
that, in curved space, the Bogolubov coefficients are unchanged, hence the
number density of the produced particle is the same as for the commutative
case. What changes though is the associated energy density, and this offers a
simple solution to the transplanckian problem.
| [
{
"created": "Thu, 11 Mar 2010 20:10:52 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Mar 2010 20:15:51 GMT",
"version": "v2"
},
{
"created": "Tue, 18 May 2010 10:17:41 GMT",
"version": "v3"
},
{
"created": "Mon, 2 Aug 2010 09:26:13 GMT",
"version": "v4"
}
] | 2015-05-18 | [
[
"Rinaldi",
"Massimiliano",
""
]
] | We consider the coherent state approach to non-commutativity, and we derive from it an effective quantum scalar field theory. We show how the non-commutativity can be taken in account by a suitable modification of the Klein-Gordon product, and of the equal-time commutation relations. We prove that, in curved space, the Bogolubov coefficients are unchanged, hence the number density of the produced particle is the same as for the commutative case. What changes though is the associated energy density, and this offers a simple solution to the transplanckian problem. |
1007.1661 | Nima Lashkari | Nima Lashkari and Alexander Maloney | Topologically Massive Gravity and Ricci-Cotton Flow | null | Class.Quant.Grav.28:105007,2011 | 10.1088/0264-9381/28/10/105007 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider Topologically Massive Gravity (TMG), which is three dimensional
general relativity with a cosmological constant and a gravitational
Chern-Simons term. When the cosmological constant is negative the theory has
two potential vacuum solutions: Anti-de Sitter space and Warped Anti-de Sitter
space. The theory also contains a massive graviton state which renders these
solutions unstable for certain values of the parameters and boundary
conditions. We study the decay of these solutions due to the condensation of
the massive graviton mode using Ricci-Cotton flow, which is the appropriate
generalization of Ricci flow to TMG. When the Chern-Simons coupling is small
the AdS solution flows to warped AdS by the condensation of the massive
graviton mode. When the coupling is large the situation is reversed, and warped
AdS flows to AdS. Minisuperspace models are constructed where these flows are
studied explicitly.
| [
{
"created": "Fri, 9 Jul 2010 20:01:17 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Sep 2010 17:34:52 GMT",
"version": "v2"
}
] | 2011-11-23 | [
[
"Lashkari",
"Nima",
""
],
[
"Maloney",
"Alexander",
""
]
] | We consider Topologically Massive Gravity (TMG), which is three dimensional general relativity with a cosmological constant and a gravitational Chern-Simons term. When the cosmological constant is negative the theory has two potential vacuum solutions: Anti-de Sitter space and Warped Anti-de Sitter space. The theory also contains a massive graviton state which renders these solutions unstable for certain values of the parameters and boundary conditions. We study the decay of these solutions due to the condensation of the massive graviton mode using Ricci-Cotton flow, which is the appropriate generalization of Ricci flow to TMG. When the Chern-Simons coupling is small the AdS solution flows to warped AdS by the condensation of the massive graviton mode. When the coupling is large the situation is reversed, and warped AdS flows to AdS. Minisuperspace models are constructed where these flows are studied explicitly. |
hep-th/0612220 | Shin'ichi Nojiri | F. Briscese, E. Elizalde, S. Nojiri, and S. D. Odintsov | Phantom scalar dark energy as modified gravity: understanding the origin
of the Big Rip singularity | LaTeX file, 9 pages. Some references are added. The version to appear
in Physcs Letters B | Phys.Lett.B646:105-111,2007 | 10.1016/j.physletb.2007.01.013 | null | hep-th astro-ph gr-qc | null | It is shown that phantom scalar models can be mapped into a mathematically
equivalent, modified $F(R)$ gravity, which turns out to be complex, in general.
Only for even scalar potentials is the ensuing modified gravity real. It is
also demonstrated that, even in this case, modified gravity becomes complex at
the region where the original phantom dark energy theory develops a Big Rip
singularity. A number of explicit examples are presented which show that these
two theories are not completely equivalent, from the physical viewpoint. This
basically owes to the fact that the physical metric in both theories differ in
a time-dependent conformal factor. As a result, an FRW accelerating solution,
or FRW instanton, in the scalar-tensor theory may look as a deccelerating FRW
solution, or a non-instantonic one, in the corresponding modified gravity
theory.
| [
{
"created": "Wed, 20 Dec 2006 13:25:33 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jan 2007 13:53:48 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Briscese",
"F.",
""
],
[
"Elizalde",
"E.",
""
],
[
"Nojiri",
"S.",
""
],
[
"Odintsov",
"S. D.",
""
]
] | It is shown that phantom scalar models can be mapped into a mathematically equivalent, modified $F(R)$ gravity, which turns out to be complex, in general. Only for even scalar potentials is the ensuing modified gravity real. It is also demonstrated that, even in this case, modified gravity becomes complex at the region where the original phantom dark energy theory develops a Big Rip singularity. A number of explicit examples are presented which show that these two theories are not completely equivalent, from the physical viewpoint. This basically owes to the fact that the physical metric in both theories differ in a time-dependent conformal factor. As a result, an FRW accelerating solution, or FRW instanton, in the scalar-tensor theory may look as a deccelerating FRW solution, or a non-instantonic one, in the corresponding modified gravity theory. |
1708.03207 | Jakub Mielczarek Ph.D. | Jakub Bilski, Suddhasattwa Brahma, Antonino Marcian\`o, Jakub
Mielczarek | Klein-Gordon field from the XXZ Heisenberg model | 21 pages, 3 figures | null | null | null | hep-th cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the recently introduced idea of Spin-Field Correspondence focusing
on the example of the spin system described by the XXZ Heisenberg model with
external magnetic field. The Hamiltonian of the resulting nonlinear scalar
field theory is derived for arbitrary value of the anisotropy parameter
$\Delta$. We show that the linear scalar field theory is reconstructed in the
large spin limit. For $\Delta=1$ a non-relativistic scalar field theory
satisfying the Born reciprocity principle is recovered. As expected, for the
vanishing anisotropy parameter $\Delta \rightarrow 0$ the standard relativistic
Klein-Gordon field is obtained. Various aspects of the obtained class of the
scalar fields are studied, including the fate of the relativistic symmetries
and the properties of the emerging interaction terms. We show that, in a
certain limit, the so-called polymer quantisation of the field variables is
recovered. This and other discussed properties suggest a possible relevance of
the considered framework in the context of quantum gravity.
| [
{
"created": "Thu, 10 Aug 2017 13:33:35 GMT",
"version": "v1"
}
] | 2017-08-11 | [
[
"Bilski",
"Jakub",
""
],
[
"Brahma",
"Suddhasattwa",
""
],
[
"Marcianò",
"Antonino",
""
],
[
"Mielczarek",
"Jakub",
""
]
] | We examine the recently introduced idea of Spin-Field Correspondence focusing on the example of the spin system described by the XXZ Heisenberg model with external magnetic field. The Hamiltonian of the resulting nonlinear scalar field theory is derived for arbitrary value of the anisotropy parameter $\Delta$. We show that the linear scalar field theory is reconstructed in the large spin limit. For $\Delta=1$ a non-relativistic scalar field theory satisfying the Born reciprocity principle is recovered. As expected, for the vanishing anisotropy parameter $\Delta \rightarrow 0$ the standard relativistic Klein-Gordon field is obtained. Various aspects of the obtained class of the scalar fields are studied, including the fate of the relativistic symmetries and the properties of the emerging interaction terms. We show that, in a certain limit, the so-called polymer quantisation of the field variables is recovered. This and other discussed properties suggest a possible relevance of the considered framework in the context of quantum gravity. |
hep-th/9909029 | Luigi Tedesco | P. Cea and L. Tedesco (Universita' di Bari and INFN) | Dynamical Symmetry Breaking in Planar QED | 34 pages, 8 postscript figures, final version to appear on J. Phys. G | J.Phys.G26:411-429,2000 | 10.1088/0954-3899/26/4/308 | BARI-TH-350-99, hep-th/9909029 | hep-th astro-ph cond-mat hep-ph | null | We investigate (2+1)-dimensional QED coupled with Dirac fermions both at zero
and finite temperature. We discuss in details two-components (P-odd) and
four-components (P-even) fermion fields. We focus on P-odd and P-even Dirac
fermions in presence of an external constant magnetic field. In the spontaneous
generation of the magnetic condensate survives even at infinite temperature. We
also discuss the spontaneous generation of fermion mass in presence of an
external magnetic field.
| [
{
"created": "Mon, 6 Sep 1999 16:23:05 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Feb 2000 16:20:12 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Cea",
"P.",
"",
"Universita' di Bari and INFN"
],
[
"Tedesco",
"L.",
"",
"Universita' di Bari and INFN"
]
] | We investigate (2+1)-dimensional QED coupled with Dirac fermions both at zero and finite temperature. We discuss in details two-components (P-odd) and four-components (P-even) fermion fields. We focus on P-odd and P-even Dirac fermions in presence of an external constant magnetic field. In the spontaneous generation of the magnetic condensate survives even at infinite temperature. We also discuss the spontaneous generation of fermion mass in presence of an external magnetic field. |
hep-th/0007210 | Kengo Maeda | Kengo Maeda, Takashi Torii, Makoto Narita, and Shigeaki Yahikozawa | The excitation of a charged string passing through a shock wave in a
charged Aichelburg-Sexl spacetime | Latex, 20 pages, no figures, accepted for Nucl. Phys. B | Nucl.Phys. B598 (2001) 115-133 | 10.1016/S0550-3213(00)00727-6 | WU-AP/108/00 | hep-th gr-qc | null | We investigate how much a first-quantized charged bosonic test string gets
excited after crossing a shock wave generated by a charged particle with mass
$\tilde{M}$ and charge $\tilde{Q}$. On the basis of Kaluza-Klein theory, we pay
attention to a closed string model where charge is given by a momentum along a
compactified extra-dimension. The shock wave is given by a charged
Aichelburg-Sexl (CAS) spacetime where $\tilde{Q}=0$ corresponds to the ordinary
Aichelburg-Sexl one. We first show that the CAS spacetime is a solution to the
equations of motion for the metric, the gauge field, and the axion field in the
low-energy limit. Secondly, we compute the mass expectation value of the
charged test string after passing through the shock wave in the CAS spacetime.
In the case of small $\tilde{Q}$, gravitational and Coulomb forces are
canceled out each other and hence the excitation of the string remains very
small. This is independent of the particle mass $\tilde{M}$ or the strength of
the shock wave. In the case of large $\tilde{Q}$, however, every charged string
gets highly excited by quantum fluctuation in the extra-dimension caused by
both the gauge and the axion fields. This is quite different from classical
"molecule", which consists of two electrically charged particles connected by a
classical spring.
| [
{
"created": "Wed, 26 Jul 2000 09:42:59 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Dec 2000 08:12:24 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Maeda",
"Kengo",
""
],
[
"Torii",
"Takashi",
""
],
[
"Narita",
"Makoto",
""
],
[
"Yahikozawa",
"Shigeaki",
""
]
] | We investigate how much a first-quantized charged bosonic test string gets excited after crossing a shock wave generated by a charged particle with mass $\tilde{M}$ and charge $\tilde{Q}$. On the basis of Kaluza-Klein theory, we pay attention to a closed string model where charge is given by a momentum along a compactified extra-dimension. The shock wave is given by a charged Aichelburg-Sexl (CAS) spacetime where $\tilde{Q}=0$ corresponds to the ordinary Aichelburg-Sexl one. We first show that the CAS spacetime is a solution to the equations of motion for the metric, the gauge field, and the axion field in the low-energy limit. Secondly, we compute the mass expectation value of the charged test string after passing through the shock wave in the CAS spacetime. In the case of small $\tilde{Q}$, gravitational and Coulomb forces are canceled out each other and hence the excitation of the string remains very small. This is independent of the particle mass $\tilde{M}$ or the strength of the shock wave. In the case of large $\tilde{Q}$, however, every charged string gets highly excited by quantum fluctuation in the extra-dimension caused by both the gauge and the axion fields. This is quite different from classical "molecule", which consists of two electrically charged particles connected by a classical spring. |
hep-th/0203048 | Gautam Mandal | Justin R. David, Gautam Mandal and Spenta R. Wadia | Microscopic Formulation of Black Holes in String Theory | (v2) To appear in Physics Reports; 168 pages, 4 figures. References
and clarifications added | Phys.Rept.369:549-686,2002 | 10.1016/S0370-1573(02)00271-5 | TIFR/TH/02-07 | hep-th gr-qc | null | In this Report we review the microscopic formulation of the five dimensional
black hole of type IIB string theory in terms of the D1-D5 brane system. The
emphasis here is more on the brane dynamics than on supergravity solutions. We
show how the low energy brane dynamics, combined with crucial inputs from
AdS/CFT correspondence, leads to a derivation of black hole thermodynamics and
the rate of Hawking radiation. Our approach requires a detailed exposition of
the gauge theory and conformal field theory of the D1-D5 system. We also
discuss some applications of the AdS/CFT correspondence in the context of black
hole formation in three dimensions by thermal transition and by collision of
point particles.
| [
{
"created": "Wed, 6 Mar 2002 13:10:11 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Jun 2002 10:47:53 GMT",
"version": "v2"
}
] | 2010-02-10 | [
[
"David",
"Justin R.",
""
],
[
"Mandal",
"Gautam",
""
],
[
"Wadia",
"Spenta R.",
""
]
] | In this Report we review the microscopic formulation of the five dimensional black hole of type IIB string theory in terms of the D1-D5 brane system. The emphasis here is more on the brane dynamics than on supergravity solutions. We show how the low energy brane dynamics, combined with crucial inputs from AdS/CFT correspondence, leads to a derivation of black hole thermodynamics and the rate of Hawking radiation. Our approach requires a detailed exposition of the gauge theory and conformal field theory of the D1-D5 system. We also discuss some applications of the AdS/CFT correspondence in the context of black hole formation in three dimensions by thermal transition and by collision of point particles. |
1202.1686 | Euro Spallucci | Euro Spallucci, Anais Smailagic | Black holes production in self-complete quantum gravity | 12 pages; 3 figures; accepted for publication in PLB | null | 10.1016/j.physletb.2012.02.023 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A regular black hole model, which has been proposed by Hayward, is
reconsidered in the framework of higher dimensional TeV unification and
self-complete quantum gravity scenario (Dvali, Spallucci). We point out the
"quantum" nature of these objects and compute their cross section production by
taking into account the key role played by the existence of a "minimal length"
l_0. We show as the threshold energy is related to l_0. We recover, in the high
energy limit, the standard "black-disk" form of the cross section, while it
vanishes, below threshold, faster than any power of the invariant mass-energy
\sqrt{-s}.
| [
{
"created": "Wed, 8 Feb 2012 13:10:07 GMT",
"version": "v1"
}
] | 2015-06-04 | [
[
"Spallucci",
"Euro",
""
],
[
"Smailagic",
"Anais",
""
]
] | A regular black hole model, which has been proposed by Hayward, is reconsidered in the framework of higher dimensional TeV unification and self-complete quantum gravity scenario (Dvali, Spallucci). We point out the "quantum" nature of these objects and compute their cross section production by taking into account the key role played by the existence of a "minimal length" l_0. We show as the threshold energy is related to l_0. We recover, in the high energy limit, the standard "black-disk" form of the cross section, while it vanishes, below threshold, faster than any power of the invariant mass-energy \sqrt{-s}. |
0912.4244 | Andrei Parnachev | Manuela Kulaxizi, Andrei Parnachev | Supersymmetry Constraints in Holographic Gravities | 7 pages, harvmac; v2: some comments added | Phys.Rev.D82:066001,2010 | 10.1103/PhysRevD.82.066001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Supersymmetric higher derivative gravities define superconformal field
theories via the AdS/CFT correspondence. From the boundary theory viewpoint,
supersymmetry implies a relation between the coefficients which determine the
three point function of the stress energy tensor which can be tested in the
dual gravitational theory. We use this relation to formulate a necessary
condition for the supersymmetrization of higher derivative gravitational terms.
We then show that terms quadratic in the Riemann tensor do not present
obstruction to supersymmetrization, while generic higher order terms do. For
technical reasons, we restrict the discussion to seven dimensions where the
obstruction to supersymmetrization can be formulated in terms of the
coefficients of Weyl anomaly, which can be computed holographically.
| [
{
"created": "Mon, 21 Dec 2009 19:50:00 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Jul 2010 18:43:27 GMT",
"version": "v2"
}
] | 2011-02-28 | [
[
"Kulaxizi",
"Manuela",
""
],
[
"Parnachev",
"Andrei",
""
]
] | Supersymmetric higher derivative gravities define superconformal field theories via the AdS/CFT correspondence. From the boundary theory viewpoint, supersymmetry implies a relation between the coefficients which determine the three point function of the stress energy tensor which can be tested in the dual gravitational theory. We use this relation to formulate a necessary condition for the supersymmetrization of higher derivative gravitational terms. We then show that terms quadratic in the Riemann tensor do not present obstruction to supersymmetrization, while generic higher order terms do. For technical reasons, we restrict the discussion to seven dimensions where the obstruction to supersymmetrization can be formulated in terms of the coefficients of Weyl anomaly, which can be computed holographically. |
hep-th/9906097 | Ferrari Franco | Franco Ferrari and Ignazio Lazzizzera | Field Theories of Topological Random Walks | 18 pages, latex file + revtex | null | null | U.T.F. 433 | hep-th cond-mat.soft math-ph math.MP | null | In this work we derive certain topological theories of transverse vector
fields whose amplitudes reproduce topological invariants involving the
interactions among the trajectories of three and four random walks. This result
is applied to the construction of a field theoretical model which describes the
statistical mechanics of an arbitrary number of topologically linked polymers
in the context of the analytical approach of Edwards. With respect to previous
attempts, our approach is very general, as it can treat a system involving an
arbitrary number of polymers and the topological states are not only specified
by the Gauss linking number, but also by higher order topological invariants.
| [
{
"created": "Mon, 14 Jun 1999 12:35:16 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ferrari",
"Franco",
""
],
[
"Lazzizzera",
"Ignazio",
""
]
] | In this work we derive certain topological theories of transverse vector fields whose amplitudes reproduce topological invariants involving the interactions among the trajectories of three and four random walks. This result is applied to the construction of a field theoretical model which describes the statistical mechanics of an arbitrary number of topologically linked polymers in the context of the analytical approach of Edwards. With respect to previous attempts, our approach is very general, as it can treat a system involving an arbitrary number of polymers and the topological states are not only specified by the Gauss linking number, but also by higher order topological invariants. |
2010.02199 | Fulvio Sbis\`a | Fulvio Sbis\`a | On L\'{e}on van Hove's 1952 article on the foundations of Quantum Field
Theory | 46 pages, no figures, PDFLatex. Accepted for publication in RBEF | Rev. Bras. Ens. Fis. vol 42, e20200256 (2020) | 10.1590/1806-9126-rbef-2020-0256 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In 1952, L\'{e}on van Hove published an article, in French, with the title
``Les difficult\'{e}s de divergences pour um mod\`{e}le particulier de champ
quantifi\'{e}''. The article is frequently cited in relation to Haag's theorem
and to the issue of the existence of unitarily inequivalent representations of
the canonical commutation relations in Quantum Field Theory. Summarizing in
brief, it suggests a link between the appearance of divergences in perturbative
Quantum Field Theory and the fact that quantum states belonging to an
interacting theory do not belong to the same Hilbert space of the free theory.
It also suggests that renormalization fails to provide an accurate description
of the time evolution of the quantum field, although it correctly accounts for
the S matrix. Due to its relevance, and to the difficulty of finding an English
translation, the ideas contained in this article are proposed again here,
expanded with derivations and accompanied by a discussion aimed at putting the
analysis into context. We highlight the main points from the perspective of a
contemporary reader, and underline the differences with the standard approach
usually taught in curricular courses in Quantum Field Theory.
| [
{
"created": "Mon, 5 Oct 2020 17:59:06 GMT",
"version": "v1"
}
] | 2020-11-19 | [
[
"Sbisà",
"Fulvio",
""
]
] | In 1952, L\'{e}on van Hove published an article, in French, with the title ``Les difficult\'{e}s de divergences pour um mod\`{e}le particulier de champ quantifi\'{e}''. The article is frequently cited in relation to Haag's theorem and to the issue of the existence of unitarily inequivalent representations of the canonical commutation relations in Quantum Field Theory. Summarizing in brief, it suggests a link between the appearance of divergences in perturbative Quantum Field Theory and the fact that quantum states belonging to an interacting theory do not belong to the same Hilbert space of the free theory. It also suggests that renormalization fails to provide an accurate description of the time evolution of the quantum field, although it correctly accounts for the S matrix. Due to its relevance, and to the difficulty of finding an English translation, the ideas contained in this article are proposed again here, expanded with derivations and accompanied by a discussion aimed at putting the analysis into context. We highlight the main points from the perspective of a contemporary reader, and underline the differences with the standard approach usually taught in curricular courses in Quantum Field Theory. |
hep-th/9908144 | John Schwarz | John H.Schwarz | TASI Lectures on Non-BPS D-Brane Systems | 39 pages; Presented at TASI-99 and Cargese-99; v2: minor corrections | null | null | CALT-68-2237 | hep-th | null | In this set of lectures various properties of D-branes are discussed. After
reviewing the basics, we discuss unstable D-brane/anti-D-brane systems, a
subject pioneered by Sen. Following him, we discuss the construction of the
non-BPS D0-brane in type I theory. This state is stable since it carries a
conserved Z_2 charge. The general classification of D-brane charges using
K-theory is discussed. The results for the type I theory, and the T-dual type
I' theory, are emphasized. Compactification of type I on a circle or torus
gives a theory with 16 supersymmetries in 9d or 8d. In each case the moduli
space has three branches. The spectrum of non-BPS D-branes are different for
each of these branches. We conclude by pointing out some problems with the type
I D7-brane and D8-brane predicted by K-theory.
| [
{
"created": "Fri, 20 Aug 1999 20:34:17 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Sep 1999 00:46:35 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Schwarz",
"John H.",
""
]
] | In this set of lectures various properties of D-branes are discussed. After reviewing the basics, we discuss unstable D-brane/anti-D-brane systems, a subject pioneered by Sen. Following him, we discuss the construction of the non-BPS D0-brane in type I theory. This state is stable since it carries a conserved Z_2 charge. The general classification of D-brane charges using K-theory is discussed. The results for the type I theory, and the T-dual type I' theory, are emphasized. Compactification of type I on a circle or torus gives a theory with 16 supersymmetries in 9d or 8d. In each case the moduli space has three branches. The spectrum of non-BPS D-branes are different for each of these branches. We conclude by pointing out some problems with the type I D7-brane and D8-brane predicted by K-theory. |
2405.08714 | Ali Fatemiabhari | Daniel Elander, Ali Fatemiabhari, Maurizio Piai | On Holographic Vacuum Misalignment | 49 pages, 5 figures; Typos fixed. References updated | null | null | null | hep-th hep-lat hep-ph | http://creativecommons.org/licenses/by/4.0/ | We develop a bottom-up holographic model that provides the dual description
of a strongly coupled field theory, in which the spontaneous breaking of an
approximate global symmetry yields the SO(5)/SO(4) coset relevant to minimal
composite-Higgs models. The gravity background is completely regular and
smooth, and has an end of space that mimics confinement on the field theory
side. We add to the gravity description a set of localised boundary terms, that
introduce additional symmetry-breaking effects, capturing those that would
result from coupling the dual strongly coupled field theory to an external,
weakly coupled sector. Such terms encapsulate the gauging of a subgroup of the
global $SO(5)$ symmetry of the dual field theory, as well as additional
explicit symmetry-breaking effects. We show how to combine spurions and gauge
fixing and how to take the appropriate limits, so as to respect gauge
principles and avoid violations of unitarity.
The interplay of bulk and boundary-localised couplings leads to the breaking
of the SO(5) symmetry to either its SO(4) or SO(3) subgroup, via vacuum
misalignment. In field theory terms, the model describes the spontaneous
breaking of a SO(4) gauge symmetry to its SO(3) subgroup. We expose the
implications of the higgsing phenomenon by computing the spectrum of
fluctuations of the model, which we interpret in four-dimensional field-theory
terms, for a few interesting choices of parameters. We conclude by commenting
on the additional steps needed to build a realistic composite Higgs model.
| [
{
"created": "Tue, 14 May 2024 15:57:34 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Jun 2024 10:46:57 GMT",
"version": "v2"
}
] | 2024-06-18 | [
[
"Elander",
"Daniel",
""
],
[
"Fatemiabhari",
"Ali",
""
],
[
"Piai",
"Maurizio",
""
]
] | We develop a bottom-up holographic model that provides the dual description of a strongly coupled field theory, in which the spontaneous breaking of an approximate global symmetry yields the SO(5)/SO(4) coset relevant to minimal composite-Higgs models. The gravity background is completely regular and smooth, and has an end of space that mimics confinement on the field theory side. We add to the gravity description a set of localised boundary terms, that introduce additional symmetry-breaking effects, capturing those that would result from coupling the dual strongly coupled field theory to an external, weakly coupled sector. Such terms encapsulate the gauging of a subgroup of the global $SO(5)$ symmetry of the dual field theory, as well as additional explicit symmetry-breaking effects. We show how to combine spurions and gauge fixing and how to take the appropriate limits, so as to respect gauge principles and avoid violations of unitarity. The interplay of bulk and boundary-localised couplings leads to the breaking of the SO(5) symmetry to either its SO(4) or SO(3) subgroup, via vacuum misalignment. In field theory terms, the model describes the spontaneous breaking of a SO(4) gauge symmetry to its SO(3) subgroup. We expose the implications of the higgsing phenomenon by computing the spectrum of fluctuations of the model, which we interpret in four-dimensional field-theory terms, for a few interesting choices of parameters. We conclude by commenting on the additional steps needed to build a realistic composite Higgs model. |
hep-th/0110053 | Betti Hartmann | Yves Brihaye (University of Mons, Belgium) and Betti Hartmann
(University of Durham, United Kingdom) | The Born-Infeld Sphaleron | 8 pages, 5 Postscript figures; new results on Bisphalerons added;
minor modifications | Phys.Lett. B524 (2002) 227-232 | 10.1016/S0370-2693(01)01381-8 | null | hep-th | null | We study the SU(2) electroweak model in which the standard Yang-Mills
coupling is supplemented by a Born-Infeld term. The deformation of the
sphaleron and bisphaleron solutions due to the Born-Infeld term is investigated
and new branches of solutions are exhibited. Especially, we find a new branch
of solutions connecting the Born-Infeld sphaleron to the first solution of the
Kerner-Gal'tsov series.
| [
{
"created": "Fri, 5 Oct 2001 09:58:26 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Oct 2001 11:04:02 GMT",
"version": "v2"
},
{
"created": "Mon, 19 Nov 2001 17:05:13 GMT",
"version": "v3"
},
{
"created": "Mon, 19 Nov 2001 21:08:33 GMT",
"version": "v4"
}
] | 2009-11-07 | [
[
"Brihaye",
"Yves",
"",
"University of Mons, Belgium"
],
[
"Hartmann",
"Betti",
"",
"University of Durham, United Kingdom"
]
] | We study the SU(2) electroweak model in which the standard Yang-Mills coupling is supplemented by a Born-Infeld term. The deformation of the sphaleron and bisphaleron solutions due to the Born-Infeld term is investigated and new branches of solutions are exhibited. Especially, we find a new branch of solutions connecting the Born-Infeld sphaleron to the first solution of the Kerner-Gal'tsov series. |
2209.14633 | A.G. Tsuchiya | A.G. Tsuchiya | On a formula of spin sums, Eisenstein-Kronecker series in higher genus
Riemann surfaces | Further modified by reviewer's suggestions | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss a decomposition formula of simple products of fermion correlation
functions with cyclic constrains and its applications to spin sums of super
string amplitudes. Based on some facts which are noted or derived in this
paper, we propose a candidate of the form of this decomposition formula for
some of higher genus cases which includes genus two case. Although we had to
use several conjectures and assumptions due to unsolved mathematical
difficulties, the method described in the text may be an efficient way to
obtain the decomposition formula in higher genus cases. In particular, for
those cases, we propose a concrete method to sum over non singular even spin
structures for the product of arbitrary number of the fermion correlation
functions with cyclic constraints in super string amplitudes. We also propose
an explicit generalization of Eisenstein-Kronecker series to the higher genus
cases in the process of considerations above.
| [
{
"created": "Thu, 29 Sep 2022 08:47:38 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Oct 2022 11:21:39 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Nov 2022 06:03:12 GMT",
"version": "v3"
},
{
"created": "Thu, 31 Aug 2023 10:56:44 GMT",
"version": "v4"
},
{
"created": "Fri, 10 Nov 2023 05:50:14 GMT",
"version": "v5"
}
] | 2023-11-13 | [
[
"Tsuchiya",
"A. G.",
""
]
] | We discuss a decomposition formula of simple products of fermion correlation functions with cyclic constrains and its applications to spin sums of super string amplitudes. Based on some facts which are noted or derived in this paper, we propose a candidate of the form of this decomposition formula for some of higher genus cases which includes genus two case. Although we had to use several conjectures and assumptions due to unsolved mathematical difficulties, the method described in the text may be an efficient way to obtain the decomposition formula in higher genus cases. In particular, for those cases, we propose a concrete method to sum over non singular even spin structures for the product of arbitrary number of the fermion correlation functions with cyclic constraints in super string amplitudes. We also propose an explicit generalization of Eisenstein-Kronecker series to the higher genus cases in the process of considerations above. |
1201.5103 | Sergei Khlebnikov | Sergei Khlebnikov | Critical current of a superconducting wire via gauge/gravity duality | 4 pages, 1 figure | null | 10.1016/j.physletb.2012.07.052 | null | hep-th cond-mat.supr-con | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe application of the gauge/gravity duality to study of thin
superconducting wires at finite current. The large number N of colors of the
gauge theory is identified with the number of filled transverse channels in the
wire. On the gravity side, the physics is described by a system of D3 and D5
branes intersecting over a line. We consider the ground state of the system at
fixed electric current and find that at zero temperature the normal state is
always unstable with respect to appearance of a superconducting component. We
discuss relation of our results to recent experiments on statistics of the
switching current in nanowires.
| [
{
"created": "Tue, 24 Jan 2012 20:07:13 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Feb 2012 15:51:16 GMT",
"version": "v2"
},
{
"created": "Fri, 2 Mar 2012 18:23:14 GMT",
"version": "v3"
},
{
"created": "Thu, 27 Dec 2012 21:25:01 GMT",
"version": "v4"
},
{
"created": "Thu, 16 May 2013 16:41:59 GMT",
"version": "v5"
}
] | 2015-06-03 | [
[
"Khlebnikov",
"Sergei",
""
]
] | We describe application of the gauge/gravity duality to study of thin superconducting wires at finite current. The large number N of colors of the gauge theory is identified with the number of filled transverse channels in the wire. On the gravity side, the physics is described by a system of D3 and D5 branes intersecting over a line. We consider the ground state of the system at fixed electric current and find that at zero temperature the normal state is always unstable with respect to appearance of a superconducting component. We discuss relation of our results to recent experiments on statistics of the switching current in nanowires. |
1603.08859 | Fabiano Andrade | Fabiano M. Andrade and Edilberto O. Silva and Denise Assafr\~ao and
Cleverson Filgueiras | Effects of quantum deformation on the integer quantum Hall effect | 6 pages, 7 figures, v3: Title changed, 4 figures added, one table
added, discussion on temperature dependence added, matches published version | EPL 116, 31002 (2016) | 10.1209/0295-5075/116/31002 | null | hep-th cond-mat.mes-hall math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work an application of the $\kappa$--deformed algebra in condensed
matter physics is presented. Starting by the $\kappa$--deformed Dirac equation
we study the relativistic generalization of the $\kappa$--deformed Landau
levels as well as the consequences of the deformation on the Hall conductivity.
By comparing the $\kappa$--deformed Landau levels in the nonrelativistic regime
with the energy levels of a two-dimensional electron gas (2DEG) in the presence
of a normal magnetic field, upper bounds for the deformation parameter in
different materials are established. An expression for the $\kappa$--deformed
Hall conductivity of a 2DEG is obtained as well. The expression recovers the
well-known result for the usual Hall conductivity in the limit
$\varepsilon=\kappa^{-1}\to 0$. The deformation parameter breaks the Landau
levels degeneracy and due to this, it is observed that deformation gives rise
to new plateaus of conductivity in a such way that the plateaus widths of the
$\kappa$--deformed Hall conductivity are less than the usual one. By studying
the temperature dependence of the $\kappa$--deformed Hall conductivity, we show
that an increase of the temperature causes the smearing of the plateaus and a
diminution of the effect of the deformation, whilst an increase in the magnetic
field enhances the effect of the deformation.
| [
{
"created": "Tue, 29 Mar 2016 17:38:44 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Apr 2016 13:33:33 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Dec 2016 02:05:40 GMT",
"version": "v3"
}
] | 2016-12-14 | [
[
"Andrade",
"Fabiano M.",
""
],
[
"Silva",
"Edilberto O.",
""
],
[
"Assafrão",
"Denise",
""
],
[
"Filgueiras",
"Cleverson",
""
]
] | In this work an application of the $\kappa$--deformed algebra in condensed matter physics is presented. Starting by the $\kappa$--deformed Dirac equation we study the relativistic generalization of the $\kappa$--deformed Landau levels as well as the consequences of the deformation on the Hall conductivity. By comparing the $\kappa$--deformed Landau levels in the nonrelativistic regime with the energy levels of a two-dimensional electron gas (2DEG) in the presence of a normal magnetic field, upper bounds for the deformation parameter in different materials are established. An expression for the $\kappa$--deformed Hall conductivity of a 2DEG is obtained as well. The expression recovers the well-known result for the usual Hall conductivity in the limit $\varepsilon=\kappa^{-1}\to 0$. The deformation parameter breaks the Landau levels degeneracy and due to this, it is observed that deformation gives rise to new plateaus of conductivity in a such way that the plateaus widths of the $\kappa$--deformed Hall conductivity are less than the usual one. By studying the temperature dependence of the $\kappa$--deformed Hall conductivity, we show that an increase of the temperature causes the smearing of the plateaus and a diminution of the effect of the deformation, whilst an increase in the magnetic field enhances the effect of the deformation. |
hep-th/9710175 | Robert Perry | Robert J. Perry (The Ohio State University) | Light-Front QCD: A Constituent Picture of Hadrons | 44 pages, LATEX (including 4 ps-figures), uses epsfig.sty. Based on
lectures given at the NATO Advanced Study Institute: Confinement, Duality,
and Non-Perturbative Aspects of QCD, Newton Institute, Cambridge, 23 June - 4
July, 1997 | null | null | null | hep-th hep-ph nucl-th | null | Light-front coordinates offer a scenario in which a constituent approximation
of hadron structure can emerge from QCD. This requires cutoffs that violate
Lorentz covariance and gauge invariance, and a new renormalization group
formalism based on a similarity transformation is used with coupling coherence
to fix counterterms that restore these symmetries. The counterterms contain
functions of longitudinal momentum fractions which severely complicate
renormalization, but they also offer possible resolutions of apparent
contradictions between the constituent picture and QCD. The similarity
transformation and coupling coherence are applied to QED; and it is shown that
the resultant Hamiltonian leads to the correct bound state results. The same
techniques are applied to QCD and it is shown that a simple confinement
mechanism and a reasonable description of heavy quark bound states emerge
naturally.
| [
{
"created": "Thu, 23 Oct 1997 04:38:52 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Perry",
"Robert J.",
"",
"The Ohio State University"
]
] | Light-front coordinates offer a scenario in which a constituent approximation of hadron structure can emerge from QCD. This requires cutoffs that violate Lorentz covariance and gauge invariance, and a new renormalization group formalism based on a similarity transformation is used with coupling coherence to fix counterterms that restore these symmetries. The counterterms contain functions of longitudinal momentum fractions which severely complicate renormalization, but they also offer possible resolutions of apparent contradictions between the constituent picture and QCD. The similarity transformation and coupling coherence are applied to QED; and it is shown that the resultant Hamiltonian leads to the correct bound state results. The same techniques are applied to QCD and it is shown that a simple confinement mechanism and a reasonable description of heavy quark bound states emerge naturally. |
1612.08294 | Pujian Mao | Eduardo Conde and Pujian Mao | BMS Supertranslations and Not So Soft Gravitons | v2: 26 pages, moderate revision with corrections and clarifications,
refs added | JHEP 05 (2017) 060 | 10.1007/JHEP05(2017)060 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a previous article, we have argued that Low's sub-leading soft photon
theorem can be recovered as a Ward identity associated to the same large gauge
transformations that control the leading piece of the theorem. The key for that
was to link the energy expansion displayed in the soft theorem to a
$\frac{1}{r}$ expansion that we can perform in the associated asymptotic
charge. We expect this idea to be valid in general, and here we provide
compelling evidence for it by showing how the same method works in the case of
Einstein-Hilbert gravity. More precisely, we are able to derive the three
orders of the tree-level soft graviton theorem simply from the BMS
supertranslation charge, known to give rise to the leading soft graviton
theorem. In particular, we do not need to invoke superrotations (nor extended
superrotations) at any point of the argument.
| [
{
"created": "Sun, 25 Dec 2016 20:40:36 GMT",
"version": "v1"
},
{
"created": "Wed, 10 May 2017 14:08:04 GMT",
"version": "v2"
}
] | 2017-05-12 | [
[
"Conde",
"Eduardo",
""
],
[
"Mao",
"Pujian",
""
]
] | In a previous article, we have argued that Low's sub-leading soft photon theorem can be recovered as a Ward identity associated to the same large gauge transformations that control the leading piece of the theorem. The key for that was to link the energy expansion displayed in the soft theorem to a $\frac{1}{r}$ expansion that we can perform in the associated asymptotic charge. We expect this idea to be valid in general, and here we provide compelling evidence for it by showing how the same method works in the case of Einstein-Hilbert gravity. More precisely, we are able to derive the three orders of the tree-level soft graviton theorem simply from the BMS supertranslation charge, known to give rise to the leading soft graviton theorem. In particular, we do not need to invoke superrotations (nor extended superrotations) at any point of the argument. |
1909.07391 | Pramod Shukla | Pramod Shukla | Dictionary for the type II nongeometric flux compactifications | 50 pages, 12 tables; arXiv admin note: text overlap with
arXiv:1712.07310, arXiv:1603.08545 and arXiv:1508.01197 in the review
section; version 2: typos fixed and references added; version 3: 49 pages,
minor changes, published version | Phys. Rev. D 103, 086009 (2021) | 10.1103/PhysRevD.103.086009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the $T$-dual completion of the four-dimensional ${\cal N}=1$ type II
effective potentials in the presence of (non-)geometric fluxes. First, we
invoke a cohomology version of the $T$-dual transformations among the various
moduli, axions and the fluxes appearing in the type IIA and type IIB effective
supergravities. This leads to some useful observations about a significant
mixing of the standard NS-NS fluxes with the (non-)geometric fluxes on the
mirror side. Further, using our $T$-duality rules, we establish an explicit
mapping among the $F$-terms, $D$-terms, tadpole conditions as well as the
Bianchi identities of the two theories. Secondly, we propose what we call a set
of "axionic flux polynomials", which depend on all the axionic moduli and the
fluxes. This subsequently helps in presenting the two scalar potentials in a
concise and manifestly $T$-dual form, which can be directly utilized for
various phenomenological purposes as we illustrate in a couple of examples.
| [
{
"created": "Mon, 16 Sep 2019 18:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Oct 2019 02:18:14 GMT",
"version": "v2"
},
{
"created": "Mon, 14 Feb 2022 15:21:36 GMT",
"version": "v3"
}
] | 2022-02-15 | [
[
"Shukla",
"Pramod",
""
]
] | We study the $T$-dual completion of the four-dimensional ${\cal N}=1$ type II effective potentials in the presence of (non-)geometric fluxes. First, we invoke a cohomology version of the $T$-dual transformations among the various moduli, axions and the fluxes appearing in the type IIA and type IIB effective supergravities. This leads to some useful observations about a significant mixing of the standard NS-NS fluxes with the (non-)geometric fluxes on the mirror side. Further, using our $T$-duality rules, we establish an explicit mapping among the $F$-terms, $D$-terms, tadpole conditions as well as the Bianchi identities of the two theories. Secondly, we propose what we call a set of "axionic flux polynomials", which depend on all the axionic moduli and the fluxes. This subsequently helps in presenting the two scalar potentials in a concise and manifestly $T$-dual form, which can be directly utilized for various phenomenological purposes as we illustrate in a couple of examples. |
1302.2440 | Jan Ambjorn | J. Ambjorn and A. Ipsen | Universality of 2d causal dynamical triangulations | 11 pages | null | 10.1016/j.physletb.2013.06.005 | null | hep-th gr-qc hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The formalism of Causal Dynamical Triangulations (CDT) attempts to provide a
non-perturbative regularization of quantum gravity, viewed as an ordinary
quantum field theory. In two dimensions one can solve the lattice theory
analytically and the continuum limit is universal, not depending on the details
of the lattice regularization.
| [
{
"created": "Mon, 11 Feb 2013 10:46:29 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Ambjorn",
"J.",
""
],
[
"Ipsen",
"A.",
""
]
] | The formalism of Causal Dynamical Triangulations (CDT) attempts to provide a non-perturbative regularization of quantum gravity, viewed as an ordinary quantum field theory. In two dimensions one can solve the lattice theory analytically and the continuum limit is universal, not depending on the details of the lattice regularization. |
2311.07303 | S. B. Rutkevich | S. B. Rutkevich | Soliton confinement in the double sine-Gordon model | 30 pages, 10 figures. v2: revised version. Minor changes, one figure
is modified, one citation added | SciPost Phys. 16, 042 (2024) | 10.21468/SciPostPhys.16.2.042 | null | hep-th cond-mat.stat-mech | http://creativecommons.org/licenses/by/4.0/ | The double sine-Gordon field theory in the weak confinement regime is
studied. It represents the small non-integrable deformation of the standard
sine-Gordon model caused by the cosine perturbation with the frequency reduced
by the factor of 2. This perturbation leads to the confinement of the
sine-Gordon solitons, which become coupled into the 'meson' bound states. We
classify the meson states in the weak confinement regime, and obtain three
asymptotic expansions for their masses, which can be used in different regions
of the model parameters. It is shown, that the sine-Gordon breathers, slightly
deformed by the perturbation term, transform into the mesons upon increase of
the sine-Gordon coupling constant.
| [
{
"created": "Mon, 13 Nov 2023 12:47:47 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Dec 2023 13:14:57 GMT",
"version": "v2"
}
] | 2024-02-07 | [
[
"Rutkevich",
"S. B.",
""
]
] | The double sine-Gordon field theory in the weak confinement regime is studied. It represents the small non-integrable deformation of the standard sine-Gordon model caused by the cosine perturbation with the frequency reduced by the factor of 2. This perturbation leads to the confinement of the sine-Gordon solitons, which become coupled into the 'meson' bound states. We classify the meson states in the weak confinement regime, and obtain three asymptotic expansions for their masses, which can be used in different regions of the model parameters. It is shown, that the sine-Gordon breathers, slightly deformed by the perturbation term, transform into the mesons upon increase of the sine-Gordon coupling constant. |
hep-th/0612094 | Zsolt Szep | A. Patkos, Zs. Szep | Phase structure and phase transitions of the SU(2) x O(N) symmetric
scalar field theory | 6 pages, 3 figures; the role of the cut-off in the effective theory
is discussed, references added; to appear in Europhys. Lett | Europhys.Lett.79:51001,2007 | 10.1209/0295-5075/79/51001 | null | hep-th hep-lat hep-ph | null | Radiatively induced SU(2) symmetry breaking is shown to be a genuine feature
of SU(2) x O(N) globally symmetric renormalisable field theories in the large N
limit, describing interaction of a complex SU(2) doublet, O(N)-singlet field
with an SU(2) singlet, O(N) vector. Symmetry breaking solutions are found even
when all fields have positive renormalised squared mass. The emerging novel
mechanism of symmetry breaking can reproduce with a choice of N~300 the
standard range of the electroweak condensate and the Higgs mass occurring in
the extended Higgs dynamics of an SU(2) symmetric Gauge+Higgs model.
| [
{
"created": "Mon, 11 Dec 2006 15:51:52 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Apr 2007 16:35:25 GMT",
"version": "v2"
},
{
"created": "Sat, 21 Jul 2007 19:51:29 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Patkos",
"A.",
""
],
[
"Szep",
"Zs.",
""
]
] | Radiatively induced SU(2) symmetry breaking is shown to be a genuine feature of SU(2) x O(N) globally symmetric renormalisable field theories in the large N limit, describing interaction of a complex SU(2) doublet, O(N)-singlet field with an SU(2) singlet, O(N) vector. Symmetry breaking solutions are found even when all fields have positive renormalised squared mass. The emerging novel mechanism of symmetry breaking can reproduce with a choice of N~300 the standard range of the electroweak condensate and the Higgs mass occurring in the extended Higgs dynamics of an SU(2) symmetric Gauge+Higgs model. |
hep-th/0008104 | Pavel Yu. Moshin | P.M. Lavrov, P.Yu. Moshin | Superfield Covariant Quantization with BRST Symmetry | 9 pages, no figures, LaTex. Talk given by P.M. Lavrov at the Fradkin
Memory Conference, "Quantum Gauge Theory and Strings", Moscow, June 5-10,
2000 | null | null | null | hep-th | null | We generalize the method of superfield Lagrangian BRST quantization in the
part of the gauge-fixing procedure and obtain a quantization method that can be
considered as an alternative to the Batalin - Vilkovisky formalism.
| [
{
"created": "Sat, 12 Aug 2000 09:52:59 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Lavrov",
"P. M.",
""
],
[
"Moshin",
"P. Yu.",
""
]
] | We generalize the method of superfield Lagrangian BRST quantization in the part of the gauge-fixing procedure and obtain a quantization method that can be considered as an alternative to the Batalin - Vilkovisky formalism. |
1508.05335 | Takahiro Terada | Takahiro Terada | Inflation in Supergravity with a Single Superfield | Ph.D. thesis, The University of Tokyo, Dec. 2014; 125 pages, 3
tables, 15 figures | null | null | UT-15-29 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Supergravity is a well-motivated theory beyond the standard model of particle
physics, and a suitable arena to study high-energy physics at the early
universe including inflation, whose observational evidences are growing more
and more. Inflation in supergravity, however, cannot be easily described
because of restrictions from supersymmetry (SUSY). The scalar potential has an
exponential factor and a large negative term whereas a flat and positive
potential is needed to realize inflation. The standard method to obtain such an
inflationary scalar potential requires an additional superfield to the one
containing inflaton. In this thesis, we propose and develop an alternative
method which does not require the additional superfield and thus reduces the
necessary degrees of freedom by half. That is, we study inflation in
supergravity with only a single chiral superfield which contains inflaton. We
accomplish it by introducing a higher dimensional term in the inflaton Kahler
potential, which plays an important dual role: fixing the value of the scalar
superpartner of the inflaton resulting in effective single field models, and
ensuring the positivity of the inflaton potential at the large field region.
Our proposal is not just particular models but rather a new framework to
realize various inflationary models in supergravity. In particular, large field
inflation in supergravity using one superfield without tuning has become
possible for the first time. In our generic models, SUSY breaking at the
inflationary scale by inflaton is not completely restored after inflation, so
null results for SUSY search at the LHC are predicted for the simplest cases.
Remarkably, however, it is possible with tuning to embed arbitrary positive
semidefinite scalar potentials into supergravity preserving SUSY at the vacuum.
Our discovery opens up an entirely new branch of model building of inflation in
supergravity.
| [
{
"created": "Fri, 21 Aug 2015 17:35:47 GMT",
"version": "v1"
}
] | 2015-09-02 | [
[
"Terada",
"Takahiro",
""
]
] | Supergravity is a well-motivated theory beyond the standard model of particle physics, and a suitable arena to study high-energy physics at the early universe including inflation, whose observational evidences are growing more and more. Inflation in supergravity, however, cannot be easily described because of restrictions from supersymmetry (SUSY). The scalar potential has an exponential factor and a large negative term whereas a flat and positive potential is needed to realize inflation. The standard method to obtain such an inflationary scalar potential requires an additional superfield to the one containing inflaton. In this thesis, we propose and develop an alternative method which does not require the additional superfield and thus reduces the necessary degrees of freedom by half. That is, we study inflation in supergravity with only a single chiral superfield which contains inflaton. We accomplish it by introducing a higher dimensional term in the inflaton Kahler potential, which plays an important dual role: fixing the value of the scalar superpartner of the inflaton resulting in effective single field models, and ensuring the positivity of the inflaton potential at the large field region. Our proposal is not just particular models but rather a new framework to realize various inflationary models in supergravity. In particular, large field inflation in supergravity using one superfield without tuning has become possible for the first time. In our generic models, SUSY breaking at the inflationary scale by inflaton is not completely restored after inflation, so null results for SUSY search at the LHC are predicted for the simplest cases. Remarkably, however, it is possible with tuning to embed arbitrary positive semidefinite scalar potentials into supergravity preserving SUSY at the vacuum. Our discovery opens up an entirely new branch of model building of inflation in supergravity. |
hep-th/0504025 | Richard Szabo | Alexander D. Popov and Richard J. Szabo | Quiver Gauge Theory of Nonabelian Vortices and Noncommutative Instantons
in Higher Dimensions | 45 pages, 4 figures; v2: minor corrections | J.Math.Phys. 47 (2006) 012306 | 10.1063/1.2157005 | ITP-UH-05/05, HWM-05-03, EMPG-05-04 | hep-th | null | We construct explicit BPS and non-BPS solutions of the Yang-Mills equations
on the noncommutative space R^{2n}_\theta x S^2 which have manifest spherical
symmetry. Using SU(2)-equivariant dimensional reduction techniques, we show
that the solutions imply an equivalence between instantons on R^{2n}_\theta x
S^2 and nonabelian vortices on R^{2n}_\theta, which can be interpreted as a
blowing-up of a chain of D0-branes on R^{2n}_\theta into a chain of spherical
D2-branes on R^{2n} x S^2. The low-energy dynamics of these configurations is
described by a quiver gauge theory which can be formulated in terms of new
geometrical objects generalizing superconnections. This formalism enables the
explicit assignment of D0-brane charges in equivariant K-theory to the
instanton solutions.
| [
{
"created": "Mon, 4 Apr 2005 14:26:57 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Feb 2006 09:26:52 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Popov",
"Alexander D.",
""
],
[
"Szabo",
"Richard J.",
""
]
] | We construct explicit BPS and non-BPS solutions of the Yang-Mills equations on the noncommutative space R^{2n}_\theta x S^2 which have manifest spherical symmetry. Using SU(2)-equivariant dimensional reduction techniques, we show that the solutions imply an equivalence between instantons on R^{2n}_\theta x S^2 and nonabelian vortices on R^{2n}_\theta, which can be interpreted as a blowing-up of a chain of D0-branes on R^{2n}_\theta into a chain of spherical D2-branes on R^{2n} x S^2. The low-energy dynamics of these configurations is described by a quiver gauge theory which can be formulated in terms of new geometrical objects generalizing superconnections. This formalism enables the explicit assignment of D0-brane charges in equivariant K-theory to the instanton solutions. |
hep-th/9406007 | Sonoda | Hidenori Sonoda and Wang-Chang Su | Operator Product Expansions in the Two-Dimensional O(N) Non-Linear Sigma
Model | 23 pages (harvmac), UCLA/94/TEP/23 | Nucl.Phys. B441 (1995) 310-336 | 10.1016/0550-3213(94)00579-4 | null | hep-th | null | The short-distance singularity of the product of a composite scalar field
that deforms a field theory and an arbitrary composite field can be expressed
geometrically by the beta functions, anomalous dimensions, and a connection on
the theory space. Using this relation, we compute the connection perturbatively
for the O(N) non-linear sigma model in two dimensions. We show that the
connection becomes free of singularities at zero temperature only if we
normalize the composite fields so that their correlation functions have
well-defined limits at zero temperature.
| [
{
"created": "Fri, 3 Jun 1994 00:34:47 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Sonoda",
"Hidenori",
""
],
[
"Su",
"Wang-Chang",
""
]
] | The short-distance singularity of the product of a composite scalar field that deforms a field theory and an arbitrary composite field can be expressed geometrically by the beta functions, anomalous dimensions, and a connection on the theory space. Using this relation, we compute the connection perturbatively for the O(N) non-linear sigma model in two dimensions. We show that the connection becomes free of singularities at zero temperature only if we normalize the composite fields so that their correlation functions have well-defined limits at zero temperature. |
hep-th/0402181 | Luca Lusanna | D.Alba (Firenze Univ.), L.Lusanna (INFN, Firenze) and M.Pauri (Parma
Univ.) | Multipolar Expansions for Closed and Open Systems of Relativistic
Particles | 75 pages, revtex4 | null | 10.1063/1.1897841 | null | hep-th | null | Dixon's multipoles for a system of N relativistic positive-energy scalar
particles are evaluated in the rest-frame instant form of dynamics. The Wigner
hyper-planes (intrinsic rest frame of the isolated system) turn out to be the
natural framework for describing multipole kinematics. Classical concepts like
the {\it barycentric tensor of inertia} turn out to be extensible to special
relativity only by means of the quadrupole moments of the isolated system. Two
new applications of the multipole technique are worked out for systems of
interacting particles and fields. In the rest-frame of the isolated system of
either free or interacting positive energy particles it is possible to define a
unique world-line which embodies the properties of the most relevant centroids
introduced in the literature as candidates for the collective motion of the
system. This is no longer true, however, in the case of open subsystems of the
isolated system. While effective mass, 3-momentum and angular momentum in the
rest frame can be calculated from the definition of the {\it subsystem
energy-momentum tensor}, the definitions of effective center of motion and
effective intrinsic spin of the subsystem are not unique. Actually, each of the
previously considered centroids corresponds to a different world-line in the
case of open systems. The pole-dipole description of open subsystems is
compared to their description as effective extended objects. Hopefully, the
technique developed here could be instrumental for the relativistic treatment
of binary star systems in metric gravity.
| [
{
"created": "Mon, 23 Feb 2004 16:22:02 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Alba",
"D.",
"",
"Firenze Univ."
],
[
"Lusanna",
"L.",
"",
"INFN, Firenze"
],
[
"Pauri",
"M.",
"",
"Parma\n Univ."
]
] | Dixon's multipoles for a system of N relativistic positive-energy scalar particles are evaluated in the rest-frame instant form of dynamics. The Wigner hyper-planes (intrinsic rest frame of the isolated system) turn out to be the natural framework for describing multipole kinematics. Classical concepts like the {\it barycentric tensor of inertia} turn out to be extensible to special relativity only by means of the quadrupole moments of the isolated system. Two new applications of the multipole technique are worked out for systems of interacting particles and fields. In the rest-frame of the isolated system of either free or interacting positive energy particles it is possible to define a unique world-line which embodies the properties of the most relevant centroids introduced in the literature as candidates for the collective motion of the system. This is no longer true, however, in the case of open subsystems of the isolated system. While effective mass, 3-momentum and angular momentum in the rest frame can be calculated from the definition of the {\it subsystem energy-momentum tensor}, the definitions of effective center of motion and effective intrinsic spin of the subsystem are not unique. Actually, each of the previously considered centroids corresponds to a different world-line in the case of open systems. The pole-dipole description of open subsystems is compared to their description as effective extended objects. Hopefully, the technique developed here could be instrumental for the relativistic treatment of binary star systems in metric gravity. |
0902.0542 | Victor Gershun | V. D. Gershun | Integrable string models with constant torsion in terms of chiral
invariants of SU(n), SO(n), SP(n) groups | 12 pages; 1 figure, This paper is third part of my talk on the "XXII
International Colloquium on Group Theoretical Methods in Physics", Yerevan,
Armenia, August 13-19, 2008 | Phys.Atom.Nucl.73:304-310,2010 | 10.1134/S106377881002016X | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We used the invariant local chiral currents of principal chiral models for
SU(n), SO(n), SP(n) groups to construct new integrable string equations of
hydrodynamic type on the Riemmann space of the chiral primitive invariant
currents and on the chiral non-primitive Casimir operators as Hamiltonians.
| [
{
"created": "Tue, 3 Feb 2009 16:25:48 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Gershun",
"V. D.",
""
]
] | We used the invariant local chiral currents of principal chiral models for SU(n), SO(n), SP(n) groups to construct new integrable string equations of hydrodynamic type on the Riemmann space of the chiral primitive invariant currents and on the chiral non-primitive Casimir operators as Hamiltonians. |
1808.03640 | Emil Nissimov | Eduardo Guendelman, Emil Nissimov, Svetlana Pacheva | Modified Gravity and Inflaton Assisted Dynamical Generation of Charge
Confinement and Electroweak Symmetry Breaking in Cosmology | 11 pages, contribution to the 10th Jubilee International Conference
of the Balkan Physical Union, Sofia, August 2018, to be published in AIP
Conference Proceedings, partial overlap with arXiv:1804.07925 | null | 10.1063/1.5091244 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a new type of gravity-matter models where modified f(R)=R+R^2
gravity couples non-canonically to a scalar "inflaton", to the bosonic sector
of the electroweak particle model and to a special nonlinear gauge field with a
square-root of the standard Maxwell/Yang-Mills kinetic term simulating QCD
confining dynamics. Our construction is based on the powerful formalism of
non-Riemannian space-time volume-forms - alternative metric-independent volume
elements defined in terms of auxiliary antisymmetric tensor gauge fields. Our
model provides a unified Lagrangian action principle description of: (i) the
evolution of both "early" and "late" universe by the "inflaton" scalar field;
(ii) gravity-inflaton-assisted dynamical generation of Higgs spontaneous
breakdown of electroweak gauge symmetry in the "late" universe, as well as
dynamical suppression of electroweak breakdown in the "early" universe; (iii)
gravity-inflaton-assisted dynamical generation of QCD-like confinement in the
"late" universe and suppression of confinement in the "early" universe due to
the special interplay with the dynamics of the QCD-simulating nonlinear gauge
field.
| [
{
"created": "Sat, 11 Aug 2018 11:44:57 GMT",
"version": "v1"
}
] | 2019-03-27 | [
[
"Guendelman",
"Eduardo",
""
],
[
"Nissimov",
"Emil",
""
],
[
"Pacheva",
"Svetlana",
""
]
] | We describe a new type of gravity-matter models where modified f(R)=R+R^2 gravity couples non-canonically to a scalar "inflaton", to the bosonic sector of the electroweak particle model and to a special nonlinear gauge field with a square-root of the standard Maxwell/Yang-Mills kinetic term simulating QCD confining dynamics. Our construction is based on the powerful formalism of non-Riemannian space-time volume-forms - alternative metric-independent volume elements defined in terms of auxiliary antisymmetric tensor gauge fields. Our model provides a unified Lagrangian action principle description of: (i) the evolution of both "early" and "late" universe by the "inflaton" scalar field; (ii) gravity-inflaton-assisted dynamical generation of Higgs spontaneous breakdown of electroweak gauge symmetry in the "late" universe, as well as dynamical suppression of electroweak breakdown in the "early" universe; (iii) gravity-inflaton-assisted dynamical generation of QCD-like confinement in the "late" universe and suppression of confinement in the "early" universe due to the special interplay with the dynamics of the QCD-simulating nonlinear gauge field. |
hep-th/9601096 | Cosmas Zachos | Thomas Curtright, Tsuneo Uematsu, and Cosmas Zachos | Geometry and Duality in Supersymmetric sigma-Models | 21 pages, plain Latex | Nucl.Phys.B469:488-512,1996 | 10.1016/0550-3213(96)00138-1 | ANL-HEP-PR-95-90, KUCP-87, Miami TH/2/95 | hep-th | null | The Supersymmetric Dual Sigma Model (SDSM) is a local field theory introduced
to be nonlocally equivalent to the Supersymmetric Chiral nonlinear sigma-Model
(SCM), this dual equivalence being proven by explicit canonical transformation
in tangent space. This model is here reconstructed in superspace and identified
as a chiral-entwined supersymmetrization of the Dual Sigma Model (DSM). This
analysis sheds light on the Boson-Fermion Symphysis of the dual transition, and
on the new geometry of the DSM.
| [
{
"created": "Thu, 18 Jan 1996 19:27:45 GMT",
"version": "v1"
}
] | 2009-10-02 | [
[
"Curtright",
"Thomas",
""
],
[
"Uematsu",
"Tsuneo",
""
],
[
"Zachos",
"Cosmas",
""
]
] | The Supersymmetric Dual Sigma Model (SDSM) is a local field theory introduced to be nonlocally equivalent to the Supersymmetric Chiral nonlinear sigma-Model (SCM), this dual equivalence being proven by explicit canonical transformation in tangent space. This model is here reconstructed in superspace and identified as a chiral-entwined supersymmetrization of the Dual Sigma Model (DSM). This analysis sheds light on the Boson-Fermion Symphysis of the dual transition, and on the new geometry of the DSM. |
1301.5865 | Maxim Dvornikov | Maxim Dvornikov (University of S\~ao Paulo, IZMIRAN) | Quantization of massive Weyl fields in vacuum | 8 pages, LaTeX2e; submitted to the proceedings of 17th International
Seminar on High Energy Physics: Quarks-2012 (Yaroslavl, Russia, June 4-10,
2012) | Proceedings of the 17th International Seminar Quarks 2012, vol. 1,
ed. by V.A. Khlebnikov, V.A. Matveev, and V.A. Rubakov (INR, Moscow, 2013),
pp. 302-309 | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We briefly review the main methods for the description of massive Weyl fields
in vacuum. On the classical level we discuss Weyl fields expressed through
Grassmann variables as well as having spinors with commuting components. In
both approaches we quantize the system. We get the correct anticommutation
relations between creation and annihilation operators, which result in the
proper form of the total energy of the field. However, the commuting classical
Weyl fields require the new method of quantization.
| [
{
"created": "Thu, 24 Jan 2013 19:01:25 GMT",
"version": "v1"
}
] | 2014-06-23 | [
[
"Dvornikov",
"Maxim",
"",
"University of São Paulo, IZMIRAN"
]
] | We briefly review the main methods for the description of massive Weyl fields in vacuum. On the classical level we discuss Weyl fields expressed through Grassmann variables as well as having spinors with commuting components. In both approaches we quantize the system. We get the correct anticommutation relations between creation and annihilation operators, which result in the proper form of the total energy of the field. However, the commuting classical Weyl fields require the new method of quantization. |
hep-th/0007146 | Tom Banks | T.Banks | Cosmological Breaking of Supersymmetry? | JHEP LaTeX, 19 pages | null | 10.1142/S0217751X01003998 | RUNHETC-2000-24; SCIPP-00/23 | hep-th | null | It is conjectured that M-theory in asymptotically flat spacetime must be
supersymmetric, and that the observed SUSY breaking in the low energy world
must be attributed to the existence of a nonzero cosmological constant. This
would be consistent with experiment, if the {\it critical exponent} $\alpha$ in
the relation $M_{SUSY} \sim M_P (\Lambda /M_P^4)^{\alpha}$ took on the value
1/8, rather than its classical value 1/4. We attribute this large
renormalization to the effect of large virtual black holes via the UV/IR
correspondence.
| [
{
"created": "Tue, 18 Jul 2000 17:42:28 GMT",
"version": "v1"
}
] | 2015-06-25 | [
[
"Banks",
"T.",
""
]
] | It is conjectured that M-theory in asymptotically flat spacetime must be supersymmetric, and that the observed SUSY breaking in the low energy world must be attributed to the existence of a nonzero cosmological constant. This would be consistent with experiment, if the {\it critical exponent} $\alpha$ in the relation $M_{SUSY} \sim M_P (\Lambda /M_P^4)^{\alpha}$ took on the value 1/8, rather than its classical value 1/4. We attribute this large renormalization to the effect of large virtual black holes via the UV/IR correspondence. |
hep-th/9703005 | Ivan Avramidi | Ivan G. Avramidi (University Greifswald) | Singularities of Green functions of the products of the Laplace type
operators | 12 Pages, LaTeX, 30 KB, No Figures, submitted to Physics Letters B,
Discussion of the Huygence principle is removed | Phys.Lett. B403 (1997) 280-284 | 10.1016/S0370-2693(97)00536-4 | University of Greifswald (February, 1997) | hep-th | null | The structure of diagonal singularities of Green functions of partial
differential operators of even order acting on smooth sections of a vector
bundle over a Riemannian man ifold is studied. A special class of operators
formed by the products of second-order operators of Laplace type defined with
the help of a unique Riemannian metric and a unique bundle connection but with
different potential terms is investigated. Explicit simple formulas for
singularities of Green functions of such operators in terms of the usual heat
kernel coefficients are obtained.
| [
{
"created": "Fri, 28 Feb 1997 11:41:01 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Mar 1997 12:35:30 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Avramidi",
"Ivan G.",
"",
"University Greifswald"
]
] | The structure of diagonal singularities of Green functions of partial differential operators of even order acting on smooth sections of a vector bundle over a Riemannian man ifold is studied. A special class of operators formed by the products of second-order operators of Laplace type defined with the help of a unique Riemannian metric and a unique bundle connection but with different potential terms is investigated. Explicit simple formulas for singularities of Green functions of such operators in terms of the usual heat kernel coefficients are obtained. |
2404.11687 | Luis B Castro | Andr\'es G. Jir\'on, Luis B. Castro, Antonio S. de Castro, Angel E.
Obispo | On the electromagnetic interaction and the anomalous term in the
Duffin-Kemmer-Petiau theory | 06 pages | EPL 146 (2024) 4, 40001 | 10.1209/0295-5075/ad3f48 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The problem of vectorial mesons embedded in an electromagnetic field via
Duffin-Kemmer-Petiau (DKP) formalism is reinvestigated. Considering the
electromagnetic interaction as a minimal coupling, an incorrect value $(g=1)$
is identified for the gyromagnetic factor ($g$-factor). Furthermore, it is
shown that is cumbersome to find analytical solutions due to the presence of
the so-called anomalous term for the spin-1 sector of the DKP theory.
Suspecting that the anomalous term results from an incomplete version of the
DKP equation to describe the electromagnetic interaction, we consider the
addition of a non-minimal coupling. This leads to the correct $g$-factor
$(g=2)$, and as a consequence, the anomalous term becomes proportional to an
external four current. As an application, the DKP equation with a static
uniform magnetic field is considered, yielding the corresponding Landau levels.
| [
{
"created": "Wed, 17 Apr 2024 18:39:24 GMT",
"version": "v1"
}
] | 2024-06-18 | [
[
"Jirón",
"Andrés G.",
""
],
[
"Castro",
"Luis B.",
""
],
[
"de Castro",
"Antonio S.",
""
],
[
"Obispo",
"Angel E.",
""
]
] | The problem of vectorial mesons embedded in an electromagnetic field via Duffin-Kemmer-Petiau (DKP) formalism is reinvestigated. Considering the electromagnetic interaction as a minimal coupling, an incorrect value $(g=1)$ is identified for the gyromagnetic factor ($g$-factor). Furthermore, it is shown that is cumbersome to find analytical solutions due to the presence of the so-called anomalous term for the spin-1 sector of the DKP theory. Suspecting that the anomalous term results from an incomplete version of the DKP equation to describe the electromagnetic interaction, we consider the addition of a non-minimal coupling. This leads to the correct $g$-factor $(g=2)$, and as a consequence, the anomalous term becomes proportional to an external four current. As an application, the DKP equation with a static uniform magnetic field is considered, yielding the corresponding Landau levels. |
2004.10138 | Jose Barbon | J.L.F. Barbon and E. Rabinovici | Remarks on the thermodynamic stability of TT-bar deformations | 26 pages, one figure. Added discussion of non-compact CFTs and minor
improvements | null | 10.1088/1751-8121/ab99ee | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We point out that negative specific heat at high energies is a characteristic
feature of many TT-bar deformations, both in the original d = 2 case and in d =
1 quantum mechanical cousins. This note is a contribution to the memorial
volume in honor of P. G. O. Freund.
| [
{
"created": "Tue, 21 Apr 2020 16:29:04 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jun 2020 16:39:43 GMT",
"version": "v2"
}
] | 2020-10-28 | [
[
"Barbon",
"J. L. F.",
""
],
[
"Rabinovici",
"E.",
""
]
] | We point out that negative specific heat at high energies is a characteristic feature of many TT-bar deformations, both in the original d = 2 case and in d = 1 quantum mechanical cousins. This note is a contribution to the memorial volume in honor of P. G. O. Freund. |
hep-th/0110026 | Janos Polonyi | Janos Polonyi | Lectures on the functional renormalization group method | 47 pages, 11 figures, final version | Central Eur.J.Phys.1:1-71,2003 | 10.2478/BF02475552 | null | hep-th cond-mat.str-el | null | These introductory notes are about functional renormalization group equations
and some of their applications. It is emphasised that the applicability of this
method extends well beyond critical systems, it actually provides us a general
purpose algorithm to solve strongly coupled quantum field theories. The
renormalization group equation of F. Wegner and A. Houghton is shown to resum
the loop-expansion. Another version, due to J. Polchinski, is obtained by the
method of collective coordinates and can be used for the resummation of the
perturbation series. The genuinely non-perturbative evolution equation is
obtained in a manner reminiscent of the Schwinger-Dyson equations. Two variants
of this scheme are presented where the scale which determines the order of the
successive elimination of the modes is extracted from external and internal
spaces. The renormalization of composite operators is discussed briefly as an
alternative way to arrive at the renormalization group equation. The scaling
laws and fixed points are considered from local and global points of view.
Instability induced renormalization and new scaling laws are shown to occur in
the symmetry broken phase of the scalar theory. The flattening of the effective
potential of a compact variable is demonstrated in case of the sine-Gordon
model. Finally, a manifestly gauge invariant evolution equation is given for
QED.
| [
{
"created": "Tue, 2 Oct 2001 13:39:48 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jan 2003 17:49:52 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Polonyi",
"Janos",
""
]
] | These introductory notes are about functional renormalization group equations and some of their applications. It is emphasised that the applicability of this method extends well beyond critical systems, it actually provides us a general purpose algorithm to solve strongly coupled quantum field theories. The renormalization group equation of F. Wegner and A. Houghton is shown to resum the loop-expansion. Another version, due to J. Polchinski, is obtained by the method of collective coordinates and can be used for the resummation of the perturbation series. The genuinely non-perturbative evolution equation is obtained in a manner reminiscent of the Schwinger-Dyson equations. Two variants of this scheme are presented where the scale which determines the order of the successive elimination of the modes is extracted from external and internal spaces. The renormalization of composite operators is discussed briefly as an alternative way to arrive at the renormalization group equation. The scaling laws and fixed points are considered from local and global points of view. Instability induced renormalization and new scaling laws are shown to occur in the symmetry broken phase of the scalar theory. The flattening of the effective potential of a compact variable is demonstrated in case of the sine-Gordon model. Finally, a manifestly gauge invariant evolution equation is given for QED. |
0910.3215 | Kimball A. Milton | Kimball A. Milton, Prachi Parashar, Jef Wagner, and Ines Cavero-Pelaez | Multiple Scattering Casimir Force Calculations: Layered and Corrugated
Materials, Wedges, and Casimir-Polder Forces | 22 pages, 23 figures, submitted to the proceedings for the Casimir
2009 workshop in Yale, August 2009 | J. Vac. Sci. Technol. B 28 (3), May/Jun 2010 | 10.1116/1.3292607 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Various applications of the multiple scattering technique to calculating
Casimir energy are described. These include the interaction between dilute
bodies of various sizes and shapes, temperature dependence, interactions with
multilayered and corrugated bodies, and new examples of exactly solvable
separable bodies.
| [
{
"created": "Fri, 16 Oct 2009 20:04:44 GMT",
"version": "v1"
}
] | 2018-03-09 | [
[
"Milton",
"Kimball A.",
""
],
[
"Parashar",
"Prachi",
""
],
[
"Wagner",
"Jef",
""
],
[
"Cavero-Pelaez",
"Ines",
""
]
] | Various applications of the multiple scattering technique to calculating Casimir energy are described. These include the interaction between dilute bodies of various sizes and shapes, temperature dependence, interactions with multilayered and corrugated bodies, and new examples of exactly solvable separable bodies. |
0710.1996 | Yutaka Sakamura | Yutaka Sakamura | Radius stabilization in 5D SUGRA models on orbifold | 4 pages, no figure, Submitted for the SUSY07 proceedings | null | null | null | hep-th hep-ph | null | We study a four-dimensional effective theory of the five-dimensional (5D)
gauged supergravity with a universal hypermultiplet and perturbative
superpotential terms at the orbifold fixed points. The class of models we
consider includes the 5D heterotic M-theory and the supersymmetric
Randall-Sundrum model as special limits of the gauging parameters. We analyse
the vacuum structure of the models, especially the nature of the moduli
stabilization, from the viewpoint of the effective theory.
| [
{
"created": "Wed, 10 Oct 2007 12:54:54 GMT",
"version": "v1"
}
] | 2007-10-11 | [
[
"Sakamura",
"Yutaka",
""
]
] | We study a four-dimensional effective theory of the five-dimensional (5D) gauged supergravity with a universal hypermultiplet and perturbative superpotential terms at the orbifold fixed points. The class of models we consider includes the 5D heterotic M-theory and the supersymmetric Randall-Sundrum model as special limits of the gauging parameters. We analyse the vacuum structure of the models, especially the nature of the moduli stabilization, from the viewpoint of the effective theory. |
0708.0897 | Dr. Bikash Chandra Paul | B. C. Paul and Dilip Paul | Brane World Inflation with Scalar and Tachyon Fields | 14 pages, no figure | null | null | null | hep-th | null | We present inflationary models of the early universe in the braneworld
scenario considering both scalar field and tachyon field separately. The
technique of Chervon and Zhuravlev to obtain inflationary cosmological models
without restrictions on a scalar field potential is employed here. We note that
like scalar field, the inflationary solution obtained here with tachyon field
also does not depend on its potential. However, unlike scalar field, inflation
with tachyon is obtained for a restricted domains of the field to begin with.
We obtain potentials for which one gets inflation using both scalar field and
tachyon field separately. It is found that unlike the scalar field, the
tachyonic field inflation sceanario can be realized from t > t_o.
| [
{
"created": "Tue, 7 Aug 2007 08:25:26 GMT",
"version": "v1"
}
] | 2007-08-08 | [
[
"Paul",
"B. C.",
""
],
[
"Paul",
"Dilip",
""
]
] | We present inflationary models of the early universe in the braneworld scenario considering both scalar field and tachyon field separately. The technique of Chervon and Zhuravlev to obtain inflationary cosmological models without restrictions on a scalar field potential is employed here. We note that like scalar field, the inflationary solution obtained here with tachyon field also does not depend on its potential. However, unlike scalar field, inflation with tachyon is obtained for a restricted domains of the field to begin with. We obtain potentials for which one gets inflation using both scalar field and tachyon field separately. It is found that unlike the scalar field, the tachyonic field inflation sceanario can be realized from t > t_o. |
0708.2402 | Marco Caldarelli | Alice Bernamonti, Marco M. Caldarelli, Dietmar Klemm, Rodrigo Olea,
Christoph Sieg and Emanuele Zorzan | Black strings in AdS_5 | 40 pages, 7 figures, JHEP3. v2: minor corrections, 2 references
added. v3: typos in holographic stress tensor corrected, 3 references added | JHEP 0801:061,2008 | 10.1088/1126-6708/2008/01/061 | IFUM-898-FT | hep-th gr-qc | null | We present non-extremal magnetic black string solutions in five-dimensional
gauged supergravity. The conformal infinity is the product of time and S^1xS_h,
where S_h denotes a compact Riemann surface of genus h. The construction is
based on both analytical and numerical techniques. We compute the holographic
stress tensor, the Euclidean action and the conserved charges of the solutions
and show that the latter satisfy a Smarr-type formula. The phase structure is
determined in the canonical ensemble, and it is shown that there is a first
order phase transition from small to large black strings, which disappears
above a certain critical magnetic charge that is obtained numerically. For
another particular value of the magnetic charge, that corresponds to a twisting
of the dual super Yang-Mills theory, the conformal anomalies coming from the
background curvature and those arising from the coupling to external gauge
fields exactly cancel. We also obtain supersymmetric solutions describing waves
propagating on extremal BPS magnetic black strings, and show that they possess
a Siklos-Virasoro reparametrization invariance.
| [
{
"created": "Fri, 17 Aug 2007 17:30:53 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Oct 2007 14:52:39 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Jan 2008 15:41:41 GMT",
"version": "v3"
}
] | 2009-06-11 | [
[
"Bernamonti",
"Alice",
""
],
[
"Caldarelli",
"Marco M.",
""
],
[
"Klemm",
"Dietmar",
""
],
[
"Olea",
"Rodrigo",
""
],
[
"Sieg",
"Christoph",
""
],
[
"Zorzan",
"Emanuele",
""
]
] | We present non-extremal magnetic black string solutions in five-dimensional gauged supergravity. The conformal infinity is the product of time and S^1xS_h, where S_h denotes a compact Riemann surface of genus h. The construction is based on both analytical and numerical techniques. We compute the holographic stress tensor, the Euclidean action and the conserved charges of the solutions and show that the latter satisfy a Smarr-type formula. The phase structure is determined in the canonical ensemble, and it is shown that there is a first order phase transition from small to large black strings, which disappears above a certain critical magnetic charge that is obtained numerically. For another particular value of the magnetic charge, that corresponds to a twisting of the dual super Yang-Mills theory, the conformal anomalies coming from the background curvature and those arising from the coupling to external gauge fields exactly cancel. We also obtain supersymmetric solutions describing waves propagating on extremal BPS magnetic black strings, and show that they possess a Siklos-Virasoro reparametrization invariance. |
1208.4077 | Carlo Iazeolla | Carlo Iazeolla and Per Sundell | Biaxially symmetric solutions to 4D higher-spin gravity | 26 pages. Invited contribution to the J. Phys. A special issue on
"Higher Spin Theories and Holography" edited by M. Gaberdiel and M. A.
Vasiliev | null | 10.1088/1751-8113/46/21/214004 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review some aspects of biaxially symmetric solutions to Vasiliev's
equations in four dimensional spacetime with negative cosmological constant.
The solutions, which activate bosonic fields of all spins, are constructed
using gauge functions, projectors and deformed oscillators. The deformation
parameters, which are formally gauge invariant, are related to generalized
electric and magnetic charges in asymptotic weak-field regions. Alternatively,
the solutions can be characterized in a dual fashion using zero-form charges
which are higher-spin Casimir invariants built from combinations of curvatures
and all their derivatives that are constant on shell and well-defined
everywhere.
| [
{
"created": "Mon, 20 Aug 2012 18:28:14 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Iazeolla",
"Carlo",
""
],
[
"Sundell",
"Per",
""
]
] | We review some aspects of biaxially symmetric solutions to Vasiliev's equations in four dimensional spacetime with negative cosmological constant. The solutions, which activate bosonic fields of all spins, are constructed using gauge functions, projectors and deformed oscillators. The deformation parameters, which are formally gauge invariant, are related to generalized electric and magnetic charges in asymptotic weak-field regions. Alternatively, the solutions can be characterized in a dual fashion using zero-form charges which are higher-spin Casimir invariants built from combinations of curvatures and all their derivatives that are constant on shell and well-defined everywhere. |
hep-th/0207268 | Keith Hannabuss | K.C. Hannabuss, D.C. Latimer (Oxford) | Fermion mixing in quasi-free states | 10 pages, Plain TeX | J.Phys. A36 (2003) L69 | 10.1088/0305-4470/36/4/101 | null | hep-th | null | Quantum field theoretic treatments of fermion oscillations are typically
restricted to calculations in Fock space. In this letter we extend the
oscillation formulae to include more general quasi-free states, and also
consider the case when the mixing is not unitary.
| [
{
"created": "Tue, 30 Jul 2002 13:05:24 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Hannabuss",
"K. C.",
"",
"Oxford"
],
[
"Latimer",
"D. C.",
"",
"Oxford"
]
] | Quantum field theoretic treatments of fermion oscillations are typically restricted to calculations in Fock space. In this letter we extend the oscillation formulae to include more general quasi-free states, and also consider the case when the mixing is not unitary. |
hep-th/9812066 | Piet Claus | Piet Claus, Renata Kallosh and Antoine Van Proeyen | Conformal Symmetry on World Volumes of Branes | 20 pages, LaTeX (needs sprocl.sty), contribution to the proceedings
of the "Trieste Conference on Superfivebranes and Physics in 5 + 1
dimensions", Trieste, April 1-3, 1998, to appear in the proceedings, minor
typos corrected; v4: correction to table of real forms of Lie superalgebras,
in the exceptional superalgebra F(4) | null | null | KUL-TF-98/54, SU-ITP-98/67 | hep-th | null | We show how the anti-de Sitter isometries of a brane solution of supergravity
theory produce superconformal invariance of their world-volume action. In this
way linear as well as non-linear superconformal actions are obtained in various
dimensions. Two particular examples are a conformal action with the
antisymmetric tensor in 6 dimensions in Pasti-Sorokin-Tonin formulation, and
superconformal mechanics.
| [
{
"created": "Tue, 8 Dec 1998 12:38:14 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Dec 1998 13:08:24 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Sep 1999 17:48:53 GMT",
"version": "v3"
},
{
"created": "Thu, 7 Dec 2000 08:19:28 GMT",
"version": "v4"
}
] | 2007-05-23 | [
[
"Claus",
"Piet",
""
],
[
"Kallosh",
"Renata",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] | We show how the anti-de Sitter isometries of a brane solution of supergravity theory produce superconformal invariance of their world-volume action. In this way linear as well as non-linear superconformal actions are obtained in various dimensions. Two particular examples are a conformal action with the antisymmetric tensor in 6 dimensions in Pasti-Sorokin-Tonin formulation, and superconformal mechanics. |
1110.3991 | Jia-ju Zhang | Bin Chen, Jia-ju Zhang and Jian-dong Zhang | Quasinormal Modes and Hidden Conformal Symmetry of Warped dS$_3$ Black
Hole | 26 pages, references added, published version | Phys. Rev. D 84, 124039 (2011) | 10.1103/PhysRevD.84.124039 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we analytically calculate the quasinormal modes of scalar,
vector, tensor, and spinor perturbations of the warped dS$_3$ black hole. There
are two horizons for the warped dS$_3$ black hole, namely, the black hole
horizon $r_b$ and the cosmological horizon $r_c$. In the calculation, we impose
the ingoing boundary condition at the black hole horizon and the outgoing
boundary condition at the cosmological horizon. We also investigate the hidden
conformal symmetry of the warped dS$_3$ black hole in the region between the
black hole horizon and the cosmological horizon $r_b<r<r_c$. We use the hidden
conformal symmetry to construct the quasinormal modes in an algebraic way and
find that the results agree with the analytically ones. It turns out that the
frequencies of the quasinormal modes could be identified with the poles in the
thermal boundary-boundary correlators.
| [
{
"created": "Tue, 18 Oct 2011 14:23:48 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Oct 2011 01:47:28 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Nov 2011 12:02:01 GMT",
"version": "v3"
},
{
"created": "Wed, 21 Dec 2011 13:18:01 GMT",
"version": "v4"
}
] | 2011-12-22 | [
[
"Chen",
"Bin",
""
],
[
"Zhang",
"Jia-ju",
""
],
[
"Zhang",
"Jian-dong",
""
]
] | In this paper, we analytically calculate the quasinormal modes of scalar, vector, tensor, and spinor perturbations of the warped dS$_3$ black hole. There are two horizons for the warped dS$_3$ black hole, namely, the black hole horizon $r_b$ and the cosmological horizon $r_c$. In the calculation, we impose the ingoing boundary condition at the black hole horizon and the outgoing boundary condition at the cosmological horizon. We also investigate the hidden conformal symmetry of the warped dS$_3$ black hole in the region between the black hole horizon and the cosmological horizon $r_b<r<r_c$. We use the hidden conformal symmetry to construct the quasinormal modes in an algebraic way and find that the results agree with the analytically ones. It turns out that the frequencies of the quasinormal modes could be identified with the poles in the thermal boundary-boundary correlators. |
1310.4006 | Omid Jalili | O.Jalili, S.Rouhani | N=2 de Sitter Supersymmetry Algebra | 5 pages. arXiv admin note: substantial text overlap with
arXiv:gr-qc/0506099 | International Journal of Theoretical Physics: Volume 48, Issue3
(2009), Page 763 | 10.1007/s10773-008-9852-5 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It was shown that N=1 super-symmetry algebra can be constructed in de Sitter
space, through calculation of charge conjugation in the ambient space notation.
Calculation of N=2 super-symmetry algebra constitutes the main frame of this
paper. N=2 super-symmetry algebra was presented in. In this paper, we obtain an
alternative N=2 super-symmetry algebra.
| [
{
"created": "Tue, 15 Oct 2013 11:08:00 GMT",
"version": "v1"
}
] | 2015-06-17 | [
[
"Jalili",
"O.",
""
],
[
"Rouhani",
"S.",
""
]
] | It was shown that N=1 super-symmetry algebra can be constructed in de Sitter space, through calculation of charge conjugation in the ambient space notation. Calculation of N=2 super-symmetry algebra constitutes the main frame of this paper. N=2 super-symmetry algebra was presented in. In this paper, we obtain an alternative N=2 super-symmetry algebra. |
1505.05685 | Malte F. Linder | Malte F. Linder, Christian Schneider, Joachim Sicking, Nikodem Szpak,
Ralf Sch\"utzhold | Pulse shape dependence in the dynamically assisted Sauter-Schwinger
effect | 13 pages REVTeX, 9 (sub)figures | Phys. Rev. D 92, 085009 (2015) | 10.1103/PhysRevD.92.085009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | While the Sauter-Schwinger effect describes nonperturbative electron-positron
pair creation from vacuum by a strong and slowly varying electric field
$E_{\mathrm{strong}}$ via tunneling, the dynamically assisted Sauter-Schwinger
effect corresponds to a strong (exponential) enhancement of the pair-creation
probability by an additional weak and fast electric or electromagnetic pulse
$E_{\mathrm{weak}}$. Using the WKB and worldline instanton method, we find that
this enhancement mechanism strongly depends on the shape of the fast pulse. For
the Sauter profile $1/\cosh^2(\omega t)$ considered previously, the threshold
frequency $\omega_{\mathrm{crit}}$ (where the enhancement mechanism sets in) is
basically independent of the magnitude $E_{\mathrm{weak}}$ of the weak
pulse---whereas for a Gaussian pulse $\exp(-\omega^2t^2)$, an oscillating
profile $\cos(\omega t)$ or a standing wave $\cos(\omega t)\cos(kx)$, the value
of $\omega_{\mathrm{crit}}$ does depend (logarithmically) on
$E_{\mathrm{weak}}/E_{\mathrm{strong}}$.
| [
{
"created": "Thu, 21 May 2015 11:57:29 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Aug 2015 16:48:38 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Oct 2015 12:03:18 GMT",
"version": "v3"
}
] | 2015-10-13 | [
[
"Linder",
"Malte F.",
""
],
[
"Schneider",
"Christian",
""
],
[
"Sicking",
"Joachim",
""
],
[
"Szpak",
"Nikodem",
""
],
[
"Schützhold",
"Ralf",
""
]
] | While the Sauter-Schwinger effect describes nonperturbative electron-positron pair creation from vacuum by a strong and slowly varying electric field $E_{\mathrm{strong}}$ via tunneling, the dynamically assisted Sauter-Schwinger effect corresponds to a strong (exponential) enhancement of the pair-creation probability by an additional weak and fast electric or electromagnetic pulse $E_{\mathrm{weak}}$. Using the WKB and worldline instanton method, we find that this enhancement mechanism strongly depends on the shape of the fast pulse. For the Sauter profile $1/\cosh^2(\omega t)$ considered previously, the threshold frequency $\omega_{\mathrm{crit}}$ (where the enhancement mechanism sets in) is basically independent of the magnitude $E_{\mathrm{weak}}$ of the weak pulse---whereas for a Gaussian pulse $\exp(-\omega^2t^2)$, an oscillating profile $\cos(\omega t)$ or a standing wave $\cos(\omega t)\cos(kx)$, the value of $\omega_{\mathrm{crit}}$ does depend (logarithmically) on $E_{\mathrm{weak}}/E_{\mathrm{strong}}$. |
0903.2893 | Andrey Shoom A | Valeri P. Frolov and Andrey A. Shoom | Gregory-Laflamme instability of 5D electrically charged black strings | 8 pages, 2 figures; Some minor changes in the text. Added references | Phys.Rev.D79:104002,2009 | 10.1103/PhysRevD.79.104002 | Alberta-Thy-03-12 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Gregory-Laflamme instability of 5D compactified, electrically
charged black strings. We consider static, linear perturbations of these
solutions and derive master equation for these perturbations. Using numerical
analysis we search for the threshold unstable modes and derive the critical
wave-length. The results are illustrated in the black string mass v.s. electric
charge phase diagram. Similar diagram is constructed using global thermodynamic
equilibrium argument applied to the charged string and 5D electrically charged
black hole. The results derived illustrate that electric charge makes the black
string less stable.
| [
{
"created": "Tue, 17 Mar 2009 02:03:22 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Mar 2009 14:40:40 GMT",
"version": "v2"
},
{
"created": "Fri, 17 Apr 2009 05:44:05 GMT",
"version": "v3"
}
] | 2015-05-13 | [
[
"Frolov",
"Valeri P.",
""
],
[
"Shoom",
"Andrey A.",
""
]
] | We study the Gregory-Laflamme instability of 5D compactified, electrically charged black strings. We consider static, linear perturbations of these solutions and derive master equation for these perturbations. Using numerical analysis we search for the threshold unstable modes and derive the critical wave-length. The results are illustrated in the black string mass v.s. electric charge phase diagram. Similar diagram is constructed using global thermodynamic equilibrium argument applied to the charged string and 5D electrically charged black hole. The results derived illustrate that electric charge makes the black string less stable. |
hep-th/9907046 | Mohab Abou-Zeid | Mohab Abou Zeid and Christopher M. Hull | The Geometry of Sigma-Models with Twisted Supersymmetry | 25 pages, LaTeX, no figures | Nucl.Phys. B561 (1999) 293-315 | 10.1016/S0550-3213(99)00528-3 | QMW-PH-99-18, AEI-1999-001 | hep-th | null | We investigate the relation between supersymmetry and geometry for two
dimensional sigma models with target spaces of arbitrary signature, and
Lorentzian or Euclidean world-sheets. In particular, we consider twisted forms
of the two-dimensional $(p,q)$ supersymmetry algebra. Superspace formulations
of the $(p,q)$ heterotic sigma-models with twisted or untwisted supersymmetry
are given. For the twisted (2,1) and the pseudo-K\"{a}hler sigma models, we
give extended superspace formulations.
| [
{
"created": "Wed, 7 Jul 1999 16:10:40 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Zeid",
"Mohab Abou",
""
],
[
"Hull",
"Christopher M.",
""
]
] | We investigate the relation between supersymmetry and geometry for two dimensional sigma models with target spaces of arbitrary signature, and Lorentzian or Euclidean world-sheets. In particular, we consider twisted forms of the two-dimensional $(p,q)$ supersymmetry algebra. Superspace formulations of the $(p,q)$ heterotic sigma-models with twisted or untwisted supersymmetry are given. For the twisted (2,1) and the pseudo-K\"{a}hler sigma models, we give extended superspace formulations. |
1410.4185 | Emilio Trevisani | Vasco Gon\c{c}alves, Jo\~ao Penedones, Emilio Trevisani | Factorization of Mellin amplitudes | 33+33 pages, 6 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce Mellin amplitudes for correlation functions of $k$ scalar
operators and one operator with spin in conformal field theories (CFT) in
general dimension. We show that Mellin amplitudes for scalar operators have
simple poles with residues that factorize in terms of lower point Mellin
amplitudes, similarly to what happens for scattering amplitudes in flat space.
Finally, we study the flat space limit of Anti-de Sitter (AdS) space, in the
context of the AdS/CFT correspondence, and generalize a formula relating CFT
Mellin amplitudes to scattering amplitudes of the bulk theory, including
particles with spin.
| [
{
"created": "Wed, 15 Oct 2014 19:53:03 GMT",
"version": "v1"
}
] | 2014-10-16 | [
[
"Gonçalves",
"Vasco",
""
],
[
"Penedones",
"João",
""
],
[
"Trevisani",
"Emilio",
""
]
] | We introduce Mellin amplitudes for correlation functions of $k$ scalar operators and one operator with spin in conformal field theories (CFT) in general dimension. We show that Mellin amplitudes for scalar operators have simple poles with residues that factorize in terms of lower point Mellin amplitudes, similarly to what happens for scattering amplitudes in flat space. Finally, we study the flat space limit of Anti-de Sitter (AdS) space, in the context of the AdS/CFT correspondence, and generalize a formula relating CFT Mellin amplitudes to scattering amplitudes of the bulk theory, including particles with spin. |
hep-th/9901120 | Kanehisa Takasaki | Kanehisa Takasaki | Whitham Deformations of Seiberg-Witten Curves for Classical Gauge Groups | latex, 39pp, no figure; some more comments and references on
integrable systems are added, and many typos are corrected | Int.J.Mod.Phys. A15 (2000) 3635-3666 | 10.1142/S0217751X00002366 | KUCP-0127 | hep-th math.QA nlin.SI solv-int | null | Gorsky et al. presented an explicit construction of Whitham deformations of
the Seiberg-Witten curve for the $SU(N+1)$ $\calN = 2$ SUSY Yang-Mills theory.
We extend their result to all classical gauge groups and some other cases such
as the spectral curve of the $A^{(2)}_{2N}$ affine Toda Toda system. Our
construction, too, uses fractional powers of the superpotential $W(x)$ that
characterizes the curve. We also consider the $u$-plane integral of
topologically twisted theories on four-dimensional manifolds $X$ with
$b_2^{+}(X) = 1$ in the language of these explicitly constructed Whitham
deformations and an integrable hierarchy of the KdV type hidden behind.
| [
{
"created": "Mon, 25 Jan 1999 11:40:40 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jan 1999 01:22:59 GMT",
"version": "v2"
}
] | 2016-12-28 | [
[
"Takasaki",
"Kanehisa",
""
]
] | Gorsky et al. presented an explicit construction of Whitham deformations of the Seiberg-Witten curve for the $SU(N+1)$ $\calN = 2$ SUSY Yang-Mills theory. We extend their result to all classical gauge groups and some other cases such as the spectral curve of the $A^{(2)}_{2N}$ affine Toda Toda system. Our construction, too, uses fractional powers of the superpotential $W(x)$ that characterizes the curve. We also consider the $u$-plane integral of topologically twisted theories on four-dimensional manifolds $X$ with $b_2^{+}(X) = 1$ in the language of these explicitly constructed Whitham deformations and an integrable hierarchy of the KdV type hidden behind. |
2404.06272 | Claudio Coriano | Claudio Corian\`o, Mario Cret\`i, Stefano Lionetti, Riccardo Tommasi | The Gravitational Chiral Anomaly at Finite Temperature and Density | 17 pages, 9 figures | null | null | null | hep-th cond-mat.mes-hall hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the gravitational anomaly vertex $\langle TTJ_5\rangle$
(graviton - graviton - axial current) under conditions of finite density and
temperature. Through a direct analysis of perturbative contributions, we
demonstrate that neither finite temperature nor finite fermion density affects
the gravitational chiral anomaly. These results find application in several
contexts, from topological materials to the early universe plasma. They affect
the decay of any axion or axion-like particle into gravitational waves, in very
dense and hot environments.
| [
{
"created": "Tue, 9 Apr 2024 12:47:47 GMT",
"version": "v1"
}
] | 2024-04-10 | [
[
"Corianò",
"Claudio",
""
],
[
"Cretì",
"Mario",
""
],
[
"Lionetti",
"Stefano",
""
],
[
"Tommasi",
"Riccardo",
""
]
] | We investigate the gravitational anomaly vertex $\langle TTJ_5\rangle$ (graviton - graviton - axial current) under conditions of finite density and temperature. Through a direct analysis of perturbative contributions, we demonstrate that neither finite temperature nor finite fermion density affects the gravitational chiral anomaly. These results find application in several contexts, from topological materials to the early universe plasma. They affect the decay of any axion or axion-like particle into gravitational waves, in very dense and hot environments. |
hep-th/9603065 | Pms4 | Paul Sutcliffe | Monopole Zeros | uuencoded latex, 15 pages, 4 figures. To appear in Physics Letters B | Phys.Lett. B376 (1996) 103-110 | 10.1016/0370-2693(96)00269-9 | UKC/IMS/96-20 | hep-th | null | Recently the existence of certain SU(2) BPS monopoles with the symmetries of
the Platonic solids has been proved. Numerical results in an earlier paper
suggest that one of these new monopoles, the tetrahedral 3-monopole, has a
remarkable new property, in that the number of zeros of the Higgs field is
greater than the topological charge (number of monopoles). As a consequence,
zeros of the Higgs field exist (called anti-zeros) around which the local
winding number has opposite sign to that of the total winding. In this letter
we investigate the presence of anti-zeros for the other Platonic monopoles.
Other aspects of anti-zeros are also discussed.
| [
{
"created": "Mon, 11 Mar 1996 11:48:22 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Sutcliffe",
"Paul",
""
]
] | Recently the existence of certain SU(2) BPS monopoles with the symmetries of the Platonic solids has been proved. Numerical results in an earlier paper suggest that one of these new monopoles, the tetrahedral 3-monopole, has a remarkable new property, in that the number of zeros of the Higgs field is greater than the topological charge (number of monopoles). As a consequence, zeros of the Higgs field exist (called anti-zeros) around which the local winding number has opposite sign to that of the total winding. In this letter we investigate the presence of anti-zeros for the other Platonic monopoles. Other aspects of anti-zeros are also discussed. |
1505.06387 | Soon-Tae Hong | Soon-Tae Hong | Intrinsic frequencies of baryons in Skyrmion theory: origin of matter
wave | 4 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Exploiting the Hamilton quantization in the Skyrmion thoery, we investigate
intrinsic frequencies of baryons such as nucleon and delta particles. We find
that matter wave property of the baryons originates from these intrinsic
vibrational modes defined on internal hypersphere.
| [
{
"created": "Sat, 23 May 2015 23:22:16 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Feb 2016 07:56:25 GMT",
"version": "v2"
}
] | 2016-02-04 | [
[
"Hong",
"Soon-Tae",
""
]
] | Exploiting the Hamilton quantization in the Skyrmion thoery, we investigate intrinsic frequencies of baryons such as nucleon and delta particles. We find that matter wave property of the baryons originates from these intrinsic vibrational modes defined on internal hypersphere. |
hep-th/9310167 | Coussaert Olivier | G. Barnich | Perturbative Gauge Anomalies in the Hamiltonian Formalism: A
Cohomological Analysis | 9 pages LatTeX file, ULB-PMIF-93/06 | Mod.Phys.Lett. A9 (1994) 665-674 | 10.1142/S0217732394003890 | null | hep-th | null | The quantum action principle of renormalisation theory is applied to the
antibracket-antifield formalism for Hamiltonian systems. General results on the
local BRST cohomology allow one to prove that the anomalies appear in the time
development of the BRST charge and violate the nilpotency of this charge.
Furthermore they are equivalent to those of the Lagrangian formalism. The
analysis provides a completely gauge and regularisation independent proof of
Faddeev's conjecture on the relationship between gauge anomalies and Schwinger
terms in the context of descent equations.
| [
{
"created": "Tue, 26 Oct 1993 14:07:21 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Barnich",
"G.",
""
]
] | The quantum action principle of renormalisation theory is applied to the antibracket-antifield formalism for Hamiltonian systems. General results on the local BRST cohomology allow one to prove that the anomalies appear in the time development of the BRST charge and violate the nilpotency of this charge. Furthermore they are equivalent to those of the Lagrangian formalism. The analysis provides a completely gauge and regularisation independent proof of Faddeev's conjecture on the relationship between gauge anomalies and Schwinger terms in the context of descent equations. |
hep-th/9409097 | Anton Kapustin | A.Kapustin, S.Skorik | On the non-relativistic limit of the quantum sine-Gordon model with
integrable boundary condition | 6 pages, CALT-68-1949, USC-94-015 | Phys.Lett. A196 (1994) 47-51 | 10.1016/0375-9601(94)91042-1 | null | hep-th | null | We show that the the generalized Calogero-Moser model with boundary potential
of the P\"oschl-Teller type describes the non-relativistic limit of the quantum
sine-Gordon model on a half-line with Dirichlet boundary condition.
| [
{
"created": "Sat, 17 Sep 1994 02:12:24 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Kapustin",
"A.",
""
],
[
"Skorik",
"S.",
""
]
] | We show that the the generalized Calogero-Moser model with boundary potential of the P\"oschl-Teller type describes the non-relativistic limit of the quantum sine-Gordon model on a half-line with Dirichlet boundary condition. |
hep-th/9601168 | Hiroshi Itoyama | H. Itoyama and A. Morozov | Integrability and Seiberg-Witten theory | 21 pages, talk given by A.M. in the conference `` Frontiers in
Quantum Field Theory'' in honor of Professor Keiji Kikkawa's 60th birthday | null | null | ITEP-M7/95, OU-HET-232 | hep-th | null | A summary of results is presented, which provide exact description of the
low-energy $4d$ $N=2$ and $N=4$ SUSY gauge theories in terms of $1d$ integrable
systems.
| [
{
"created": "Wed, 31 Jan 1996 08:30:57 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Itoyama",
"H.",
""
],
[
"Morozov",
"A.",
""
]
] | A summary of results is presented, which provide exact description of the low-energy $4d$ $N=2$ and $N=4$ SUSY gauge theories in terms of $1d$ integrable systems. |
1908.10832 | Roberto Auzzi | Roberto Auzzi, Giuseppe Nardelli, Fidel I. Schaposnik Massolo, Gianni
Tallarita and Nicolo Zenoni | On volume subregion complexity in Vaidya spacetime | 22 pages, 9 figures; V2: expanded discussion | null | 10.1007/JHEP11(2019)098 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study holographic subregion volume complexity for a line segment in the
AdS$_3$ Vaidya geometry. On the field theory side, this gravity background
corresponds to a sudden quench which leads to the thermalization of the
strongly-coupled dual conformal field theory. We find the time-dependent
extremal volume surface by numerically solving a partial differential equation
with boundary condition given by the Hubeny-Rangamani-Takayanagi surface, and
we use this solution to compute holographic subregion complexity as a function
of time. Approximate analytical expressions valid at early and at late times
are derived.
| [
{
"created": "Wed, 28 Aug 2019 17:03:35 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Nov 2019 09:56:02 GMT",
"version": "v2"
}
] | 2020-01-08 | [
[
"Auzzi",
"Roberto",
""
],
[
"Nardelli",
"Giuseppe",
""
],
[
"Massolo",
"Fidel I. Schaposnik",
""
],
[
"Tallarita",
"Gianni",
""
],
[
"Zenoni",
"Nicolo",
""
]
] | We study holographic subregion volume complexity for a line segment in the AdS$_3$ Vaidya geometry. On the field theory side, this gravity background corresponds to a sudden quench which leads to the thermalization of the strongly-coupled dual conformal field theory. We find the time-dependent extremal volume surface by numerically solving a partial differential equation with boundary condition given by the Hubeny-Rangamani-Takayanagi surface, and we use this solution to compute holographic subregion complexity as a function of time. Approximate analytical expressions valid at early and at late times are derived. |
1106.3139 | Ka Wai Lo | Mohammad Edalati, Ka Wai Lo and Philip W. Phillips | Neutral Order Parameters in Metallic Criticality in d=2+1 from a Hairy
Electron Star | 16pages, 10 figures | Phys.Rev.D84.066007,2011 | 10.1103/PhysRevD.84.066007 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use holography to study the spontaneous condensation of a neutral order
parameter in a (2+1)-dimensional field theory at zero-temperature and finite
density, dual to the electron star background of Hartnoll and Tavanfar. An
appealing feature of this field theory is the emergence of an IR Lifshitz
fixed-point with a finite dynamical critical exponent $z$, which is due to the
strong interaction between critical bosonic degrees of freedom and a finite
density of fermions (metallic quantum criticality). We show that under some
circumstances the electron star background develops a neutral scalar hair whose
holographic interpretation is that the boundary field theory undergoes a
quantum phase transition, with a Berezinski-Kosterlitz-Thouless character, to a
phase with a neutral order parameter. Including the backreaction of the bulk
neutral scalar on the background, we argue that the two phases across the
quantum critical point have different $z$, a novelty that exists in certain
quantum phase transitions in condensed matter systems. We also analyze the
system at finite temperature and find that the phase transition becomes, as
expected, second-order. Embedding the neutral scalar into a higher form, a
variety of interesting phases could potentially be realized for the boundary
field theory. Examples which are of particular interest to condensed matter
physics include an antiferromagnetic phase where a vector condenses and break
the spin symmetry, a quadrupole nematic phase which involves the condensation
of a symmetric traceless tensor breaking rotational symmetry, or different
phases of a system with competing order parameters.
| [
{
"created": "Thu, 16 Jun 2011 04:20:30 GMT",
"version": "v1"
}
] | 2011-10-07 | [
[
"Edalati",
"Mohammad",
""
],
[
"Lo",
"Ka Wai",
""
],
[
"Phillips",
"Philip W.",
""
]
] | We use holography to study the spontaneous condensation of a neutral order parameter in a (2+1)-dimensional field theory at zero-temperature and finite density, dual to the electron star background of Hartnoll and Tavanfar. An appealing feature of this field theory is the emergence of an IR Lifshitz fixed-point with a finite dynamical critical exponent $z$, which is due to the strong interaction between critical bosonic degrees of freedom and a finite density of fermions (metallic quantum criticality). We show that under some circumstances the electron star background develops a neutral scalar hair whose holographic interpretation is that the boundary field theory undergoes a quantum phase transition, with a Berezinski-Kosterlitz-Thouless character, to a phase with a neutral order parameter. Including the backreaction of the bulk neutral scalar on the background, we argue that the two phases across the quantum critical point have different $z$, a novelty that exists in certain quantum phase transitions in condensed matter systems. We also analyze the system at finite temperature and find that the phase transition becomes, as expected, second-order. Embedding the neutral scalar into a higher form, a variety of interesting phases could potentially be realized for the boundary field theory. Examples which are of particular interest to condensed matter physics include an antiferromagnetic phase where a vector condenses and break the spin symmetry, a quadrupole nematic phase which involves the condensation of a symmetric traceless tensor breaking rotational symmetry, or different phases of a system with competing order parameters. |
1604.04990 | Ki Seok Kim | Ki-Seok Kim and Chanyong Park | Emergent geometry from field theory: Wilson's renormalization group
revisited | null | Phys. Rev. D 93, 121702 (2016) | 10.1103/PhysRevD.93.121702 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find a geometrical description from a field theoretical setup based on
Wilson's renormalization group in real space. We show that renormalization
group equations of coupling parameters encode the metric structure of an
emergent curved space, regarded to be an Einstein equation for the emergent
gravity. Self-consistent equations of local order-parameter fields with an
emergent metric turn out to describe low energy dynamics of a strongly coupled
field theory, analogous to the Maxwell equation of the Einstein-Maxwell theory
in the AdS$_{d+2}$/CFT$_{d+1}$ duality conjecture. We claim that the
AdS$_{3}$/CFT$_{2}$ duality may be interpreted as Landau-Ginzburg theory
combined with Wilson's renormalization group, which introduces vertex
corrections into the Landau-Ginzburg theory in the large$-N_{s}$ limit, where
$N_{s}$ is the number of fermion flavors.
| [
{
"created": "Mon, 18 Apr 2016 05:17:48 GMT",
"version": "v1"
}
] | 2016-06-29 | [
[
"Kim",
"Ki-Seok",
""
],
[
"Park",
"Chanyong",
""
]
] | We find a geometrical description from a field theoretical setup based on Wilson's renormalization group in real space. We show that renormalization group equations of coupling parameters encode the metric structure of an emergent curved space, regarded to be an Einstein equation for the emergent gravity. Self-consistent equations of local order-parameter fields with an emergent metric turn out to describe low energy dynamics of a strongly coupled field theory, analogous to the Maxwell equation of the Einstein-Maxwell theory in the AdS$_{d+2}$/CFT$_{d+1}$ duality conjecture. We claim that the AdS$_{3}$/CFT$_{2}$ duality may be interpreted as Landau-Ginzburg theory combined with Wilson's renormalization group, which introduces vertex corrections into the Landau-Ginzburg theory in the large$-N_{s}$ limit, where $N_{s}$ is the number of fermion flavors. |
0909.4701 | George Leontaris | G. K. Leontaris, N.D. Vlachos | D-brane Inspired Fermion Mass Textures | 58 pages, 7 figures | JHEP 1001:016,2010 | 10.1007/JHEP01(2010)016 | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, the issues of the quark mass hierarchies and the Cabbibo
Kobayashi Maskawa mixing are analyzed in a class of intersecting D-brane
configurations with Standard Model gauge symmetry. The relevant mass matrices
are constructed taking into account the constraints imposed by extra abelian
symmetries and anomaly cancelation conditions. Possible mass generating
mechanisms including perturbative as well as non-perturbative effects are
discussed and specific patterns of mass textures are found characterized by the
hierarchies of the scales where the various sources contribute. It is argued
that the Cholesky decomposition of the mass matrices is the most appropriate
way to determine the properties of these fermion mass patterns, while the
associated triangular mass matrix form provides a unified description of all
phenomenologically equivalent symmetric and non-symmetric mass matrices. An
elegant analytic formula is derived for the Cholesky triangular form of the
mass matrices where the entries are given as simple functions of the mass
eigenstates and the diagonalizing transformation entries. Finally, motivated by
the possibility of vanishing zero Yukawa mass entries in several D-brane and
F-theory constructions due to the geometry of the internal space, we analyse in
detail all possible texture-zeroes mass matrices within the proposed new
context. These new texture-zeroes are compared to those existing in the
literature while D-brane inspired cases are worked out in detail.
| [
{
"created": "Fri, 25 Sep 2009 13:39:50 GMT",
"version": "v1"
}
] | 2010-01-22 | [
[
"Leontaris",
"G. K.",
""
],
[
"Vlachos",
"N. D.",
""
]
] | In this paper, the issues of the quark mass hierarchies and the Cabbibo Kobayashi Maskawa mixing are analyzed in a class of intersecting D-brane configurations with Standard Model gauge symmetry. The relevant mass matrices are constructed taking into account the constraints imposed by extra abelian symmetries and anomaly cancelation conditions. Possible mass generating mechanisms including perturbative as well as non-perturbative effects are discussed and specific patterns of mass textures are found characterized by the hierarchies of the scales where the various sources contribute. It is argued that the Cholesky decomposition of the mass matrices is the most appropriate way to determine the properties of these fermion mass patterns, while the associated triangular mass matrix form provides a unified description of all phenomenologically equivalent symmetric and non-symmetric mass matrices. An elegant analytic formula is derived for the Cholesky triangular form of the mass matrices where the entries are given as simple functions of the mass eigenstates and the diagonalizing transformation entries. Finally, motivated by the possibility of vanishing zero Yukawa mass entries in several D-brane and F-theory constructions due to the geometry of the internal space, we analyse in detail all possible texture-zeroes mass matrices within the proposed new context. These new texture-zeroes are compared to those existing in the literature while D-brane inspired cases are worked out in detail. |
hep-th/0106231 | Debashis Ghoshal | Debashis Ghoshal | Normalization of the Boundary Superstring Field Theory Action | 9 pages, LaTeX, Contribution to Strings 2001 | null | null | AEI-2001-067, MRI-P-010605 | hep-th | null | The normalization of the boundary superstring field theory action is
determined by computing the near on-shell amplitude involving three gauge
fields.
| [
{
"created": "Mon, 25 Jun 2001 16:54:59 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ghoshal",
"Debashis",
""
]
] | The normalization of the boundary superstring field theory action is determined by computing the near on-shell amplitude involving three gauge fields. |
hep-th/9904182 | Gian Michele Graf | J. Froehlich, G.M. Graf, D. Hasler, J. Hoppe, S.-T. Yau | Asymptotic Form of Zero Energy Wave Functions in Supersymmetric Matrix
Models | LaTeX, 18 pages Introduction amended | Nucl.Phys. B567 (2000) 231-248 | 10.1016/S0550-3213(99)00649-5 | null | hep-th math-ph math.MP | null | We derive the power law decay, and asymptotic form, of SU(2) x Spin(d)
invariant wave-functions which are zero-modes of all s_d=2(d-1) supercharges of
reduced (d+1)-dimensional supersymmetric SU(2) Yang Mills theory, resp. of the
SU(2)-matrix model related to supermembranes in d+2 dimensions.
| [
{
"created": "Tue, 27 Apr 1999 06:13:51 GMT",
"version": "v1"
},
{
"created": "Fri, 7 May 1999 06:57:07 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Froehlich",
"J.",
""
],
[
"Graf",
"G. M.",
""
],
[
"Hasler",
"D.",
""
],
[
"Hoppe",
"J.",
""
],
[
"Yau",
"S. -T.",
""
]
] | We derive the power law decay, and asymptotic form, of SU(2) x Spin(d) invariant wave-functions which are zero-modes of all s_d=2(d-1) supercharges of reduced (d+1)-dimensional supersymmetric SU(2) Yang Mills theory, resp. of the SU(2)-matrix model related to supermembranes in d+2 dimensions. |
2008.01022 | Yikun Jiang | Thomas Hartman, Yikun Jiang, Edgar Shaghoulian | Islands in cosmology | 53 pages plus appendices, 22 figures | null | 10.1007/JHEP11(2020)111 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A quantum extremal island suggests that a region of spacetime is encoded in
the quantum state of another system, like the encoding of the black hole
interior in Hawking radiation. We study conditions for islands to appear in
general spacetimes, with or without black holes. They must violate Bekenstein's
area bound in a precise sense, and the boundary of an island must satisfy
several other information-theoretic inequalities. These conditions combine to
impose very strong restrictions, which we apply to cosmological models. We find
several examples of islands in crunching universes. In particular, in the
four-dimensional FRW cosmology with radiation and a negative cosmological
constant, there is an island near the turning point when the geometry begins to
recollapse. In a two-dimensional model of JT gravity in de Sitter spacetime,
there are islands inside crunches that are encoded at future infinity or inside
bubbles of Minkowski spacetime. Finally, we discuss simple tensor network toy
models for islands in cosmology and black holes.
| [
{
"created": "Mon, 3 Aug 2020 17:01:04 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Oct 2020 20:46:29 GMT",
"version": "v2"
}
] | 2020-11-24 | [
[
"Hartman",
"Thomas",
""
],
[
"Jiang",
"Yikun",
""
],
[
"Shaghoulian",
"Edgar",
""
]
] | A quantum extremal island suggests that a region of spacetime is encoded in the quantum state of another system, like the encoding of the black hole interior in Hawking radiation. We study conditions for islands to appear in general spacetimes, with or without black holes. They must violate Bekenstein's area bound in a precise sense, and the boundary of an island must satisfy several other information-theoretic inequalities. These conditions combine to impose very strong restrictions, which we apply to cosmological models. We find several examples of islands in crunching universes. In particular, in the four-dimensional FRW cosmology with radiation and a negative cosmological constant, there is an island near the turning point when the geometry begins to recollapse. In a two-dimensional model of JT gravity in de Sitter spacetime, there are islands inside crunches that are encoded at future infinity or inside bubbles of Minkowski spacetime. Finally, we discuss simple tensor network toy models for islands in cosmology and black holes. |
0909.0483 | Clifford Cheung | Nima Arkani-Hamed, Freddy Cachazo, and Clifford Cheung | The Grassmannian Origin Of Dual Superconformal Invariance | 9 pages | null | 10.1007/JHEP03(2010)036 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A dual formulation of the S Matrix for N=4 SYM has recently been presented,
where all leading singularities of n-particle N^{k-2}MHV amplitudes are given
as an integral over the Grassmannian G(k,n), with cyclic symmetry, parity and
superconformal invariance manifest. In this short note we show that the dual
superconformal invariance of this object is also manifest. The geometry
naturally suggests a partial integration and simple change of variable to an
integral over G(k-2,n). This change of variable precisely corresponds to the
mapping between usual momentum variables and the "momentum twistors" introduced
by Hodges, and yields an elementary derivation of the momentum-twistor space
formula very recently presented by Mason and Skinner, which is manifestly dual
superconformal invariant. Thus the G(k,n) Grassmannian formulation allows a
direct understanding of all the important symmetries of N=4 SYM scattering
amplitudes.
| [
{
"created": "Wed, 2 Sep 2009 19:54:37 GMT",
"version": "v1"
}
] | 2015-05-14 | [
[
"Arkani-Hamed",
"Nima",
""
],
[
"Cachazo",
"Freddy",
""
],
[
"Cheung",
"Clifford",
""
]
] | A dual formulation of the S Matrix for N=4 SYM has recently been presented, where all leading singularities of n-particle N^{k-2}MHV amplitudes are given as an integral over the Grassmannian G(k,n), with cyclic symmetry, parity and superconformal invariance manifest. In this short note we show that the dual superconformal invariance of this object is also manifest. The geometry naturally suggests a partial integration and simple change of variable to an integral over G(k-2,n). This change of variable precisely corresponds to the mapping between usual momentum variables and the "momentum twistors" introduced by Hodges, and yields an elementary derivation of the momentum-twistor space formula very recently presented by Mason and Skinner, which is manifestly dual superconformal invariant. Thus the G(k,n) Grassmannian formulation allows a direct understanding of all the important symmetries of N=4 SYM scattering amplitudes. |
hep-th/0601162 | Delia Schwartz-Perlov | Delia Schwartz-Perlov and Alexander Vilenkin | Probabilities in the Bousso-Polchinski multiverse | 21 pages, 7 figures Minor changes made | JCAP0606:010,2006 | 10.1088/1475-7516/2006/06/010 | null | hep-th astro-ph gr-qc | null | Using the recently introduced method to calculate bubble abundances in an
eternally inflating spacetime, we investigate the volume distribution for the
cosmological constant $\Lambda$ in the context of the Bousso-Polchinski
landscape model. We find that the resulting distribution has a staggered
appearance which is in sharp contrast to the heuristically expected flat
distribution. Previous successful predictions for the observed value of
$\Lambda$ have hinged on the assumption of a flat volume distribution. To
reconcile our staggered distribution with observations for $\Lambda$, the BP
model would have to produce a huge number of vacua in the anthropic range
$\Delta\Lambda_A$ of $\Lambda$, so that the distribution could conceivably
become smooth after averaging over some suitable scale
$\delta\Lambda\ll\Delta\Lambda_A$.
| [
{
"created": "Fri, 20 Jan 2006 23:38:56 GMT",
"version": "v1"
},
{
"created": "Thu, 4 May 2006 19:19:52 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Schwartz-Perlov",
"Delia",
""
],
[
"Vilenkin",
"Alexander",
""
]
] | Using the recently introduced method to calculate bubble abundances in an eternally inflating spacetime, we investigate the volume distribution for the cosmological constant $\Lambda$ in the context of the Bousso-Polchinski landscape model. We find that the resulting distribution has a staggered appearance which is in sharp contrast to the heuristically expected flat distribution. Previous successful predictions for the observed value of $\Lambda$ have hinged on the assumption of a flat volume distribution. To reconcile our staggered distribution with observations for $\Lambda$, the BP model would have to produce a huge number of vacua in the anthropic range $\Delta\Lambda_A$ of $\Lambda$, so that the distribution could conceivably become smooth after averaging over some suitable scale $\delta\Lambda\ll\Delta\Lambda_A$. |
hep-th/9904048 | Frank Zimmerschied | B. Kleihaus, D.H. Tchrakian and F. Zimmerschied | d dimensional SO(d)-Higgs Models with Instanton and Sphaleron: d=2,3 | 24 pages, 3 figures, LaTeX | Phys.Rev. D60 (1999) 125015 | 10.1103/PhysRevD.60.125015 | null | hep-th | null | The Abelian Higgs model and the Georgi-Glashow model in 2 and 3 Euclidean
dimensions respectively, support both finite size instantons and sphalerons.
The instantons are the familiar Nielsen-Oleson vortices and the 't
Hooft-Polyakov monopole solutions respectively. We have constructed the
sphaleron solutions and calculated the Chern-Simons charges N_cs for sphalerons
of both models and have constructed two types of noncontractible loops between
topologically distinct vacuua. In the 3 dimensional model, the sphaleron and
the vacuua have zero magnetic and electric flux while the configurations on the
loops have non vanishing magnetic flux.
| [
{
"created": "Wed, 7 Apr 1999 09:45:15 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Kleihaus",
"B.",
""
],
[
"Tchrakian",
"D. H.",
""
],
[
"Zimmerschied",
"F.",
""
]
] | The Abelian Higgs model and the Georgi-Glashow model in 2 and 3 Euclidean dimensions respectively, support both finite size instantons and sphalerons. The instantons are the familiar Nielsen-Oleson vortices and the 't Hooft-Polyakov monopole solutions respectively. We have constructed the sphaleron solutions and calculated the Chern-Simons charges N_cs for sphalerons of both models and have constructed two types of noncontractible loops between topologically distinct vacuua. In the 3 dimensional model, the sphaleron and the vacuua have zero magnetic and electric flux while the configurations on the loops have non vanishing magnetic flux. |
hep-th/9305120 | Blau Matthias | George Thompson | 1992 Trieste Lectures on Topological Gauge Theory and Yang-Mills Theory | 70 A4 pages (LaTex, 6 figures not included), IC/93/112 | null | null | null | hep-th | null | In these lecture notes we explain a connection between Yang-Mills theory on
arbitrary Riemann surfaces and two types of topological field theory, the so
called $BF$ and cohomological theories. The quantum Yang-Mills theory is solved
exactly using path integral techniques. Explicit expressions, in terms of group
representation theory, are obtained for the partition function and various
correlation functions. In a particular limit the Yang-Mills theory devolves to
the topological models and the previously determined correlation functions give
topological information about the moduli spaces of flat connections. In
particular, the partition function yields the volume of the moduli space for
which an explicit expression is derived. These notes are self contained, with a
basic introduction to the various ideas underlying the topological field
theories. This includes some relatively new work on handling problems that
arise in the presence of reducible connections which in turn forms the bridge
between the various models under consideration. These notes are identical to
those made available to participants of the 1992 summer school in Trieste,
except for one or two additions added circa January 1993.
| [
{
"created": "Mon, 24 May 1993 16:18:41 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Thompson",
"George",
""
]
] | In these lecture notes we explain a connection between Yang-Mills theory on arbitrary Riemann surfaces and two types of topological field theory, the so called $BF$ and cohomological theories. The quantum Yang-Mills theory is solved exactly using path integral techniques. Explicit expressions, in terms of group representation theory, are obtained for the partition function and various correlation functions. In a particular limit the Yang-Mills theory devolves to the topological models and the previously determined correlation functions give topological information about the moduli spaces of flat connections. In particular, the partition function yields the volume of the moduli space for which an explicit expression is derived. These notes are self contained, with a basic introduction to the various ideas underlying the topological field theories. This includes some relatively new work on handling problems that arise in the presence of reducible connections which in turn forms the bridge between the various models under consideration. These notes are identical to those made available to participants of the 1992 summer school in Trieste, except for one or two additions added circa January 1993. |
hep-th/0308183 | Hanqing Zheng | Hanghui Chen and H.Q.Zheng | Canonical Formalism for Lagrangians of Maximal Nonlocality | 17 pages with 1 eps figure | null | 10.1088/0253-6102/42/5/715 | null | hep-th | null | A canonical formalism for Lagrangians of maximal nonlocality is established.
The method is based on the familiar Legendre transformation to a new function
which can be derived from the maximally nonlocal Lagrangian. The corresponding
canonical equations are derived through the standard procedure in local theory
and appear much like those local ones, though the implication of the equations
is largely expanded.
| [
{
"created": "Wed, 27 Aug 2003 15:43:32 GMT",
"version": "v1"
}
] | 2018-01-17 | [
[
"Chen",
"Hanghui",
""
],
[
"Zheng",
"H. Q.",
""
]
] | A canonical formalism for Lagrangians of maximal nonlocality is established. The method is based on the familiar Legendre transformation to a new function which can be derived from the maximally nonlocal Lagrangian. The corresponding canonical equations are derived through the standard procedure in local theory and appear much like those local ones, though the implication of the equations is largely expanded. |
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