id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9512022 | Qmw Theory Group | Omduth Coceal and Steven Thomas | Conformal Models of Magnetohydrodynamic Turbulence | 21 pages | Int.J.Mod.Phys. A11 (1996) 5261-5278 | 10.1142/S0217751X96002418 | QMW-PH-95-45 | hep-th | null | Following the previous work of Ferretti and Yang on the role of magnetic
fields in the theory of conformal turbulence, we show that non-unitary minimal
model solutions to 2-dimensional magnetohydrodynamics (MHD) obtained by
dimensional reduction from 3-dimensions exist under different (and more
restrictive) conditions. From a 3-dimensional point of view, these conditions
are equivalent to perpendicular flow, in which the magnetic and velocity fields
are orthogonal. We also extend the analysis to the finite conductivity case and
present some approximate solutions, whose connection to the exact ones of the
infinite conductivity case is also discussed.
| [
{
"created": "Tue, 5 Dec 1995 14:20:27 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Coceal",
"Omduth",
""
],
[
"Thomas",
"Steven",
""
]
] | Following the previous work of Ferretti and Yang on the role of magnetic fields in the theory of conformal turbulence, we show that non-unitary minimal model solutions to 2-dimensional magnetohydrodynamics (MHD) obtained by dimensional reduction from 3-dimensions exist under different (and more restrictive) conditions. From a 3-dimensional point of view, these conditions are equivalent to perpendicular flow, in which the magnetic and velocity fields are orthogonal. We also extend the analysis to the finite conductivity case and present some approximate solutions, whose connection to the exact ones of the infinite conductivity case is also discussed. |
hep-th/0211131 | Isao Kishimoto | I. Bars, I. Kishimoto, Y. Matsuo | String Amplitudes from Moyal String Field Theory | 19 pages, LaTeX, typos corrected, comments added, Eqs.(27-32)(55-59)
added. Eq.(27) includes a more explicit result of the four point function | Phys.Rev. D67 (2003) 066002 | 10.1103/PhysRevD.67.066002 | USCHEP/02-ib5, UT-02-58 | hep-th | null | We illustrate a basic framework for analytic computations of Feynman graphs
using the Moyal star formulation of string field theory. We present efficient
methods of computation based on (a) the monoid algebra in noncommutative space
and (b) the conventional Feynman rules in Fourier space. The methods apply
equally well to perturbative string states or nonperturbative string states
involving D-branes. The ghost sector is formulated using Moyal products with
fermionic (b,c) ghosts. We also provide a short account on how the purely cubic
theory and/or VSFT proposals may receive some clarification of their midpoint
structures in our regularized framework.
| [
{
"created": "Thu, 14 Nov 2002 16:19:25 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Nov 2002 20:07:04 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Nov 2002 01:30:26 GMT",
"version": "v3"
},
{
"created": "Sun, 29 Dec 2002 16:43:33 GMT",
"version": "v4"
}
] | 2009-11-07 | [
[
"Bars",
"I.",
""
],
[
"Kishimoto",
"I.",
""
],
[
"Matsuo",
"Y.",
""
]
] | We illustrate a basic framework for analytic computations of Feynman graphs using the Moyal star formulation of string field theory. We present efficient methods of computation based on (a) the monoid algebra in noncommutative space and (b) the conventional Feynman rules in Fourier space. The methods apply equally well to perturbative string states or nonperturbative string states involving D-branes. The ghost sector is formulated using Moyal products with fermionic (b,c) ghosts. We also provide a short account on how the purely cubic theory and/or VSFT proposals may receive some clarification of their midpoint structures in our regularized framework. |
1010.2665 | Francisco Pedro | Joseph P. Conlon, Francisco G. Pedro | Moduli-Induced Vacuum Destabilisation | 21 pages, 12 figures | JHEP 1105:079,2011 | 10.1007/JHEP05(2011)079 | OUTP-10-28P | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We look for ways to destabilise the vacuum. We describe how dense matter
environments source a contribution to moduli potentials and analyse the
conditions required to initiate either decompactification or a local shift in
moduli vevs. We consider astrophysical objects such as neutron stars as well as
cosmological and black hole singularities. Regrettably neutron stars cannot
destabilise realistic Planck coupled moduli, which would require objects many
orders of magnitude denser. However gravitational collapse, either in
matter-dominated universes or in black hole formation, inevitably leads to a
destabilisation of the compact volume causing a super-inflationary expansion of
the extra dimensions.
| [
{
"created": "Wed, 13 Oct 2010 14:08:15 GMT",
"version": "v1"
}
] | 2011-05-23 | [
[
"Conlon",
"Joseph P.",
""
],
[
"Pedro",
"Francisco G.",
""
]
] | We look for ways to destabilise the vacuum. We describe how dense matter environments source a contribution to moduli potentials and analyse the conditions required to initiate either decompactification or a local shift in moduli vevs. We consider astrophysical objects such as neutron stars as well as cosmological and black hole singularities. Regrettably neutron stars cannot destabilise realistic Planck coupled moduli, which would require objects many orders of magnitude denser. However gravitational collapse, either in matter-dominated universes or in black hole formation, inevitably leads to a destabilisation of the compact volume causing a super-inflationary expansion of the extra dimensions. |
1311.2536 | Eduardo Guendelman I | E. I. Guendelman and R. Steiner | Confining Boundary conditions from dynamical Coupling Constants | 4 pages, 3 figures. A new reference added and discussion expanded | null | 10.1016/j.physletb.2014.05.057 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is shown that it is possible to consistently and gauge invariantly
formulate models where the coupling constant is a non trivial function of a
scalar field . In the $U(1)$ case the coupling to the gauge field contains a
term of the form $g(\phi)j_\mu (A^{\mu} +\partial^{\mu}B)$ where $B$ is an
auxiliary field and $j_\mu$ is the Dirac current. The scalar field $\phi$
determines the local value of the coupling of the gauge field to the Dirac
particle. The consistency of the equations determine the condition
$\partial^{\mu}\phi j_\mu = 0$ which implies that the Dirac current cannot have
a component in the direction of the gradient of the scalar field. As a
consequence, if $\phi$ has a soliton behaviour, like defining a bubble that
connects two vacuua, we obtain that the Dirac current cannot have a flux
through the wall of the bubble, defining a confinement mechanism where the
fermions are kept inside those bags. Consistent models with time dependent fine
structure constant can be also constructed
| [
{
"created": "Mon, 11 Nov 2013 19:17:40 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Nov 2013 16:42:56 GMT",
"version": "v2"
},
{
"created": "Thu, 21 Nov 2013 07:53:27 GMT",
"version": "v3"
},
{
"created": "Fri, 7 Mar 2014 12:53:10 GMT",
"version": "v4"
}
] | 2015-06-17 | [
[
"Guendelman",
"E. I.",
""
],
[
"Steiner",
"R.",
""
]
] | It is shown that it is possible to consistently and gauge invariantly formulate models where the coupling constant is a non trivial function of a scalar field . In the $U(1)$ case the coupling to the gauge field contains a term of the form $g(\phi)j_\mu (A^{\mu} +\partial^{\mu}B)$ where $B$ is an auxiliary field and $j_\mu$ is the Dirac current. The scalar field $\phi$ determines the local value of the coupling of the gauge field to the Dirac particle. The consistency of the equations determine the condition $\partial^{\mu}\phi j_\mu = 0$ which implies that the Dirac current cannot have a component in the direction of the gradient of the scalar field. As a consequence, if $\phi$ has a soliton behaviour, like defining a bubble that connects two vacuua, we obtain that the Dirac current cannot have a flux through the wall of the bubble, defining a confinement mechanism where the fermions are kept inside those bags. Consistent models with time dependent fine structure constant can be also constructed |
hep-th/0607160 | J. M. Drummond | J.M. Drummond, J. Henn, V.A. Smirnov, E. Sokatchev | Magic identities for conformal four-point integrals | 13 pages, 12 figures. New proof included with neater discussion of
contact terms. Typo corrected | JHEP 0701:064,2007 | 10.1088/1126-6708/2007/01/064 | LAPTH-1159/06 | hep-th hep-ph | null | We propose an iterative procedure for constructing classes of off-shell
four-point conformal integrals which are identical. The proof of the identity
is based on the conformal properties of a subintegral common for the whole
class. The simplest example are the so-called `triple scalar box' and `tennis
court' integrals. In this case we also give an independent proof using the
method of Mellin--Barnes representation which can be applied in a similar way
for general off-shell Feynman integrals.
| [
{
"created": "Fri, 21 Jul 2006 19:10:41 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Oct 2006 17:05:48 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Dec 2006 17:30:49 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Drummond",
"J. M.",
""
],
[
"Henn",
"J.",
""
],
[
"Smirnov",
"V. A.",
""
],
[
"Sokatchev",
"E.",
""
]
] | We propose an iterative procedure for constructing classes of off-shell four-point conformal integrals which are identical. The proof of the identity is based on the conformal properties of a subintegral common for the whole class. The simplest example are the so-called `triple scalar box' and `tennis court' integrals. In this case we also give an independent proof using the method of Mellin--Barnes representation which can be applied in a similar way for general off-shell Feynman integrals. |
hep-th/9704150 | David Adams | David H. Adams | A doubled discretisation of abelian Chern-Simons theory | 5 pages, revtex, 2 ps figures (epsf required). To appear in
Phys.Rev.Lett | Phys.Rev.Lett. 78 (1997) 4155-4158 | 10.1103/PhysRevLett.78.4155 | null | hep-th dg-ga hep-lat math.DG math.QA q-alg | null | A new discretisation of a doubled, i.e. BF, version of the pure abelian
Chern-Simons theory is presented. It reproduces the continuum expressions for
the topological quantities of interest in the theory, namely the partition
function and correlation function of Wilson loops. Similarities with free
spinor field theory are discussed which are of interest in connection with
lattice fermion doubling.
| [
{
"created": "Mon, 21 Apr 1997 15:27:12 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Adams",
"David H.",
""
]
] | A new discretisation of a doubled, i.e. BF, version of the pure abelian Chern-Simons theory is presented. It reproduces the continuum expressions for the topological quantities of interest in the theory, namely the partition function and correlation function of Wilson loops. Similarities with free spinor field theory are discussed which are of interest in connection with lattice fermion doubling. |
1206.6902 | Dylan Tanner M | Dylan Tanner | Non-perturbative Treatments of the Bosonic String and the Axion with
Cosmological Implications | thesis, 160 pages, 10 figures | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper is about the use of a novel, exact functional quantization method
as applied to two commonly studied actions in theoretical physics. The
functional method in question has its roots in the exact renormalisation group
flow techniques pioneered by Wilson, but with the flow parameter not limited to
the familiar momentum cutoff. Finding a configuration satisfying an expression
for the exact effective action which does not vary with this parameter provides
the basis for finding solutions to the physical actions we study. Firstly, the
method is applied to an expression for the bare action of the pseudo-scalar
axion used to explain the strong CP problem in QCD. When quantized, we find
that the effective potential of the axion, when interactions are not
considered, is necessarily flattened by spinodal instability effects. We regard
this flattening asrepresenting the very early stage in the development of the
axion potential, when the Peccei-Quinn U(1) symmetry is spontaneously broken
resulting in a double-well potential. Using commonly quoted values for the
parameters of such a potential, we devise an expression for the energy density
of the emerging axion potential and this is compared to dark energy. We then
apply the functional method to the bosonic string with time varying graviton,
dilaton and antisymmetric tensor (resulting in the string-axion) background
fields. We achieve a demonstration of conformal invariance in a
non-perturbative manner in the beta functions, contrasting with conventional
string cosmology where cancellation of a perturbative expansion is performed.
We then offer some hints as to possible cosmological implications of our
configuration in terms of optical anisotropy.
| [
{
"created": "Thu, 28 Jun 2012 21:18:40 GMT",
"version": "v1"
}
] | 2012-12-20 | [
[
"Tanner",
"Dylan",
""
]
] | This paper is about the use of a novel, exact functional quantization method as applied to two commonly studied actions in theoretical physics. The functional method in question has its roots in the exact renormalisation group flow techniques pioneered by Wilson, but with the flow parameter not limited to the familiar momentum cutoff. Finding a configuration satisfying an expression for the exact effective action which does not vary with this parameter provides the basis for finding solutions to the physical actions we study. Firstly, the method is applied to an expression for the bare action of the pseudo-scalar axion used to explain the strong CP problem in QCD. When quantized, we find that the effective potential of the axion, when interactions are not considered, is necessarily flattened by spinodal instability effects. We regard this flattening asrepresenting the very early stage in the development of the axion potential, when the Peccei-Quinn U(1) symmetry is spontaneously broken resulting in a double-well potential. Using commonly quoted values for the parameters of such a potential, we devise an expression for the energy density of the emerging axion potential and this is compared to dark energy. We then apply the functional method to the bosonic string with time varying graviton, dilaton and antisymmetric tensor (resulting in the string-axion) background fields. We achieve a demonstration of conformal invariance in a non-perturbative manner in the beta functions, contrasting with conventional string cosmology where cancellation of a perturbative expansion is performed. We then offer some hints as to possible cosmological implications of our configuration in terms of optical anisotropy. |
1107.1022 | Don Marolf | Donald Marolf | Black holes and branes in supergravity | 55 pgs. Chapter of the book `Black Holes in Higher Dimensions' to be
published by Cambridge University Press (editor: G. Horowitz) | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This book chapter presents a brief introduction to black holes and branes in
supergravity, focussing on 11-dimensional supergravity and type II
supergravities in 10-dimension. The chapter is aimed at graduate students who
have completed a standard course in general relativity. It is an ammended and
slightly updated version of arXiv:gr-qc/9908045. In addition to describing
specific solutions, brief discussions of p-form gauge fields, Kaluza-Klein
reduction, (local) supersymmetry, T- and S-dualities in supergravity, and
string perturbation theory are included to provide context.
| [
{
"created": "Wed, 6 Jul 2011 04:29:28 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Aug 2011 23:29:21 GMT",
"version": "v2"
}
] | 2011-08-19 | [
[
"Marolf",
"Donald",
""
]
] | This book chapter presents a brief introduction to black holes and branes in supergravity, focussing on 11-dimensional supergravity and type II supergravities in 10-dimension. The chapter is aimed at graduate students who have completed a standard course in general relativity. It is an ammended and slightly updated version of arXiv:gr-qc/9908045. In addition to describing specific solutions, brief discussions of p-form gauge fields, Kaluza-Klein reduction, (local) supersymmetry, T- and S-dualities in supergravity, and string perturbation theory are included to provide context. |
hep-th/0211118 | Gabriel Cardoso | G. L. Cardoso, G. Curio, G. Dall'Agata, D. Lust, P. Manousselis and G.
Zoupanos | Non-Kaehler String Backgrounds and their Five Torsion Classes | 33 pages, LaTeX; references added; one more reference added | Nucl.Phys.B652:5-34,2003 | 10.1016/S0550-3213(03)00049-X | HU-EP-02/49 | hep-th math.DG | null | We discuss the mathematical properties of six--dimensional non--K\"ahler
manifolds which occur in the context of ${\cal N}=1$ supersymmetric heterotic
and type IIA string compactifications with non--vanishing background H--field.
The intrinsic torsion of the associated SU(3) structures falls into five
different classes. For heterotic compactifications we present an explicit
dictionary between the supersymmetry conditions and these five torsion classes.
We show that the non--Ricci flat Iwasawa manifold solves the supersymmetry
conditions with non--zero H--field, so that it is a consistent heterotic
supersymmetric groundstate.
| [
{
"created": "Wed, 13 Nov 2002 16:47:22 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Nov 2002 15:20:44 GMT",
"version": "v2"
},
{
"created": "Fri, 22 Nov 2002 16:25:57 GMT",
"version": "v3"
}
] | 2009-10-07 | [
[
"Cardoso",
"G. L.",
""
],
[
"Curio",
"G.",
""
],
[
"Dall'Agata",
"G.",
""
],
[
"Lust",
"D.",
""
],
[
"Manousselis",
"P.",
""
],
[
"Zoupanos",
"G.",
""
]
] | We discuss the mathematical properties of six--dimensional non--K\"ahler manifolds which occur in the context of ${\cal N}=1$ supersymmetric heterotic and type IIA string compactifications with non--vanishing background H--field. The intrinsic torsion of the associated SU(3) structures falls into five different classes. For heterotic compactifications we present an explicit dictionary between the supersymmetry conditions and these five torsion classes. We show that the non--Ricci flat Iwasawa manifold solves the supersymmetry conditions with non--zero H--field, so that it is a consistent heterotic supersymmetric groundstate. |
hep-th/9807041 | Max Niedermaier | M.R. Niedermaier | Varying the Unruh Temperature in Integrable Quantum Field Theories | 34 pages, Latex, 3 Figures, minor changes | Nucl.Phys. B535 (1998) 621-649 | 10.1016/S0550-3213(98)00685-3 | AEI-068 | hep-th | null | A computational scheme is developed to determine the response of a quantum
field theory (QFT) with a factorized scattering operator under a variation of
the Unruh temperature. To this end a new family of integrable systems is
introduced, obtained by deforming such QFTs in a way that preserves the
bootstrap S-matrix. The deformation parameter \beta plays the role of an
inverse temperature for the thermal equilibrium states associated with the
Rindler wedge, \beta = 2\pi being the QFT value. The form factor approach
provides an explicit computational scheme for the \beta \neq 2\pi systems,
enforcing in particular a modification of the underlying kinematical arena. As
examples deformed counterparts of the Ising model and the Sinh-Gordon model are
considered.
| [
{
"created": "Mon, 6 Jul 1998 11:35:39 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Oct 1998 08:11:26 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Niedermaier",
"M. R.",
""
]
] | A computational scheme is developed to determine the response of a quantum field theory (QFT) with a factorized scattering operator under a variation of the Unruh temperature. To this end a new family of integrable systems is introduced, obtained by deforming such QFTs in a way that preserves the bootstrap S-matrix. The deformation parameter \beta plays the role of an inverse temperature for the thermal equilibrium states associated with the Rindler wedge, \beta = 2\pi being the QFT value. The form factor approach provides an explicit computational scheme for the \beta \neq 2\pi systems, enforcing in particular a modification of the underlying kinematical arena. As examples deformed counterparts of the Ising model and the Sinh-Gordon model are considered. |
0807.3305 | Jan Gutowski | Jan B. Gutowski, Wafic A. Sabra | Isometries of Half Supersymmetric Time-Like Solutions In Five Dimensions | 18 pages, typos corrected, latex | Class.Quant.Grav.27:025003,2010 | 10.1088/0264-9381/27/2/025003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Spinorial geometry techniques have recently been used to classify all half
supersymmetric solutions in gauged five dimensional supergravity with vector
multiplets. In this paper we consider solutions for which at least one of the
Killing spinors generates a timelike Killing vector. We obtain coordinate
transformations which considerably simplify the solutions, and in a number of
cases, we obtain explicitly some additional Killing vectors which were hidden
in the original analysis.
| [
{
"created": "Mon, 21 Jul 2008 16:31:32 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jul 2008 17:33:05 GMT",
"version": "v2"
}
] | 2010-01-06 | [
[
"Gutowski",
"Jan B.",
""
],
[
"Sabra",
"Wafic A.",
""
]
] | Spinorial geometry techniques have recently been used to classify all half supersymmetric solutions in gauged five dimensional supergravity with vector multiplets. In this paper we consider solutions for which at least one of the Killing spinors generates a timelike Killing vector. We obtain coordinate transformations which considerably simplify the solutions, and in a number of cases, we obtain explicitly some additional Killing vectors which were hidden in the original analysis. |
1210.7733 | Minjoon Park | Minjoon Park and Lorenzo Sorbo | Massive Gravity from Higher Derivative Gravity with Boundary Conditions | 1+11pp | null | 10.1007/JHEP01(2013)043 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | With an appropriate choice of parameters, a higher derivative theory of
gravity can describe a normal massive sector and a ghost massless sector. We
show that, when defined on an asymptotically de Sitter spacetime with Dirichlet
boundary conditions, such a higher derivative gravity can provide a framework
for a unitary theory of massive gravity in four spacetime dimensions. The
resulting theory is free not only of higher derivative ghosts but also of the
Boulware-Deser mode.
| [
{
"created": "Mon, 29 Oct 2012 17:12:39 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Park",
"Minjoon",
""
],
[
"Sorbo",
"Lorenzo",
""
]
] | With an appropriate choice of parameters, a higher derivative theory of gravity can describe a normal massive sector and a ghost massless sector. We show that, when defined on an asymptotically de Sitter spacetime with Dirichlet boundary conditions, such a higher derivative gravity can provide a framework for a unitary theory of massive gravity in four spacetime dimensions. The resulting theory is free not only of higher derivative ghosts but also of the Boulware-Deser mode. |
hep-th/0510053 | Georgi Dvali | Gia Dvali | A Vacuum Accumulation Solution to the Strong CP Problem | 17 pages | Phys.Rev.D74:025019,2006 | 10.1103/PhysRevD.74.025019 | null | hep-th | null | We suggest a solution to the strong CP problem in which there are no axions
involved. The superselection rule of the \theta-vacua is dynamically lifted in
such a way that an infinite number of vacua are accumulated within the
phenomenologically acceptable range of \theta < 10^{-9}, whereas only a
measure-zero set of vacua remains outside of this interval. The general
prediction is the existence of membranes to which the standard model gauge
fields are coupled. These branes may be light enough for being produced at the
particle accelerators in form of the resonances with a characteristic membrane
spectrum.
| [
{
"created": "Thu, 6 Oct 2005 18:52:52 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Dvali",
"Gia",
""
]
] | We suggest a solution to the strong CP problem in which there are no axions involved. The superselection rule of the \theta-vacua is dynamically lifted in such a way that an infinite number of vacua are accumulated within the phenomenologically acceptable range of \theta < 10^{-9}, whereas only a measure-zero set of vacua remains outside of this interval. The general prediction is the existence of membranes to which the standard model gauge fields are coupled. These branes may be light enough for being produced at the particle accelerators in form of the resonances with a characteristic membrane spectrum. |
1902.04465 | Ali \"Ovg\"un Dr. | A. \"Ovg\"un and \.I. Sakall{\i} | Hawking Radiation via Gauss-Bonnet Theorem | 5 pages. Version accepted for publication in Annals of Physics | Annals of Physics 413 (2020) 168071 | 10.1016/j.aop.2020.168071 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | In this paper, we apply the topological method to the various black holes to
derive their Hawking temperature. We show that the this method can easily be
employed to compute the Hawking temperature of black holes having spherically
symmetric topology. Therefore, we conclude that the topological method provides
a consistent formula to achieve the Hawking temperature.
| [
{
"created": "Tue, 12 Feb 2019 16:08:10 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Feb 2019 18:04:09 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Aug 2023 07:39:12 GMT",
"version": "v3"
}
] | 2023-08-17 | [
[
"Övgün",
"A.",
""
],
[
"Sakallı",
"İ.",
""
]
] | In this paper, we apply the topological method to the various black holes to derive their Hawking temperature. We show that the this method can easily be employed to compute the Hawking temperature of black holes having spherically symmetric topology. Therefore, we conclude that the topological method provides a consistent formula to achieve the Hawking temperature. |
1908.08799 | Airton Deppman | Airton Deppman, Eugenio Megias and Debora P. Menezes | Fractals, non-extensive statistics and QCD | 20 pages, 3 figures. arXiv admin note: text overlap with
arXiv:1905.06382 | Phys. Rev. D 101, 034019 (2020) | 10.1103/PhysRevD.101.034019 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we analyse how scaling properties of Yang-Mills field theory
manifest as self-similarity of truncated n-point functions by scale evolution.
The presence of such structures, which actually behaves as fractals, allow
for recurrent non-perturbative calculation of any vertex. Some general
properties are indeed independent of the perturbative order, what simplifies
the non-perturbative calculations. We show that for sufficiently high
perturbative orders a statistical approach can be used, the non extensive
statistics is obtained, and the Tsallis index, $q$, is deduced in terms of the
field theory parameters. The results are applied to QCD in the one-loop
approximation, where $q$ can be calculated, resulting in a good agreement with
the value obtained experimentally. We discuss how this approach allows to
understand some intriguing experimental findings in high energy collisions, as
the behavior of multiplicity against collision energy, long-tail distributions
and the fractal dimension observed in intermittency analysis.
| [
{
"created": "Wed, 21 Aug 2019 22:03:44 GMT",
"version": "v1"
}
] | 2020-02-26 | [
[
"Deppman",
"Airton",
""
],
[
"Megias",
"Eugenio",
""
],
[
"Menezes",
"Debora P.",
""
]
] | In this work we analyse how scaling properties of Yang-Mills field theory manifest as self-similarity of truncated n-point functions by scale evolution. The presence of such structures, which actually behaves as fractals, allow for recurrent non-perturbative calculation of any vertex. Some general properties are indeed independent of the perturbative order, what simplifies the non-perturbative calculations. We show that for sufficiently high perturbative orders a statistical approach can be used, the non extensive statistics is obtained, and the Tsallis index, $q$, is deduced in terms of the field theory parameters. The results are applied to QCD in the one-loop approximation, where $q$ can be calculated, resulting in a good agreement with the value obtained experimentally. We discuss how this approach allows to understand some intriguing experimental findings in high energy collisions, as the behavior of multiplicity against collision energy, long-tail distributions and the fractal dimension observed in intermittency analysis. |
hep-th/9903262 | Karl-Henning Rehren | K.-H. Rehren (Univ. Goettingen) | Chiral Observables and Modular Invariants | 28 pages, 1 figure | Commun.Math.Phys.208:689-712,2000 | 10.1007/PL00005523 | null | hep-th math-ph math.MP math.OA | null | Various definitions of chiral observables in a given Moebius covariant
two-dimensional theory are shown to be equivalent. Their representation theory
in the vacuum Hilbert space of the 2D theory is studied. It shares the general
characteristics of modular invariant partition functions, although SL(2,Z)
transformation properties are not assumed. First steps towards classification
are made.
| [
{
"created": "Wed, 31 Mar 1999 13:06:47 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Rehren",
"K. -H.",
"",
"Univ. Goettingen"
]
] | Various definitions of chiral observables in a given Moebius covariant two-dimensional theory are shown to be equivalent. Their representation theory in the vacuum Hilbert space of the 2D theory is studied. It shares the general characteristics of modular invariant partition functions, although SL(2,Z) transformation properties are not assumed. First steps towards classification are made. |
1205.7052 | I-Sheng Yang | Ali Masoumi, Xiao Xiao, and I-Sheng Yang | Bubble Nucleation of Spatial Vector Fields | version 4, correction in the citations | null | 10.1103/PhysRevD.87.045008 | null | hep-th cond-mat.soft | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study domain-walls and bubble nucleation in a non-relativistic vector
field theory with different longitudinal and transverse speeds of sound. We
describe analytical and numerical methods to calculate the orientation
dependent domain-wall tension, $\sigma(\theta)$. We then use this tension to
calculate the critical bubble shape. The longitudinally oriented domain-wall
tends to be the heaviest, and sometime suffers an instability. It can
spontaneously break into zigzag segments. In this case, the critical bubble
develops kinks, and its energy, and therefore the tunneling rate, scales with
the sound speeds very differently than what would be expected for a smooth
bubble.
| [
{
"created": "Thu, 31 May 2012 17:31:52 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Oct 2012 09:48:58 GMT",
"version": "v2"
},
{
"created": "Sat, 10 Nov 2012 12:23:58 GMT",
"version": "v3"
},
{
"created": "Mon, 10 Dec 2012 10:06:34 GMT",
"version": "v4"
}
] | 2013-03-14 | [
[
"Masoumi",
"Ali",
""
],
[
"Xiao",
"Xiao",
""
],
[
"Yang",
"I-Sheng",
""
]
] | We study domain-walls and bubble nucleation in a non-relativistic vector field theory with different longitudinal and transverse speeds of sound. We describe analytical and numerical methods to calculate the orientation dependent domain-wall tension, $\sigma(\theta)$. We then use this tension to calculate the critical bubble shape. The longitudinally oriented domain-wall tends to be the heaviest, and sometime suffers an instability. It can spontaneously break into zigzag segments. In this case, the critical bubble develops kinks, and its energy, and therefore the tunneling rate, scales with the sound speeds very differently than what would be expected for a smooth bubble. |
0806.2880 | Kimball A. Milton | Kimball A. Milton, Prachi Parashar, Jef Wagner | Exact results for Casimir interactions between dielectric bodies: The
weak-coupling or van der Waals Limit | 4 pages, 3 figures | Phys.Rev.Lett.101:160402,2008 | 10.1103/PhysRevLett.101.160402 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In earlier papers we have applied multiple scattering techniques to calculate
Casimir forces due to scalar fields between different bodies described by delta
function potentials. When the coupling to the potentials became weak,
closed-form results were obtained. We simplify this weak-coupling technique and
apply it to the case of tenuous dielectric bodies, in which case the method
involves the summation of van der Waals (Casimir-Polder) interactions. Once
again exact results for finite bodies can be obtained. We present closed
formulas describing the interaction between spheres and between cylinders, and
between an infinite plate and a retangular slab of finite size. For such a
slab, we consider the torque acting on it, and find non-trivial equilibrium
points can occur.
| [
{
"created": "Tue, 17 Jun 2008 22:13:44 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Milton",
"Kimball A.",
""
],
[
"Parashar",
"Prachi",
""
],
[
"Wagner",
"Jef",
""
]
] | In earlier papers we have applied multiple scattering techniques to calculate Casimir forces due to scalar fields between different bodies described by delta function potentials. When the coupling to the potentials became weak, closed-form results were obtained. We simplify this weak-coupling technique and apply it to the case of tenuous dielectric bodies, in which case the method involves the summation of van der Waals (Casimir-Polder) interactions. Once again exact results for finite bodies can be obtained. We present closed formulas describing the interaction between spheres and between cylinders, and between an infinite plate and a retangular slab of finite size. For such a slab, we consider the torque acting on it, and find non-trivial equilibrium points can occur. |
1008.2944 | Sachin Jain | Sachin Jain | Universal thermal and electrical conductivity from holography | An appendix added discussing relation between boundary conductivity
and universal conductivity of stretched horizon, version to be published in
JHEP | JHEP 1011:092,2010 | 10.1007/JHEP11(2010)092 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is known from earlier work of Iqbal, Liu (arXiv:0809.3808) that the
boundary transport coefficients such as electrical conductivity (at vanishing
chemical potential), shear viscosity etc. at low frequency and finite
temperature can be expressed in terms of geometrical quantities evaluated at
the horizon. In the case of electrical conductivity, at zero chemical potential
gauge field fluctuation and metric fluctuation decouples, resulting in a
trivial flow from horizon to boundary. In the presence of chemical potential,
the story becomes complicated due to the fact that gauge field and metric
fluctuation can no longer be decoupled. This results in a nontrivial flow from
horizon to boundary. Though horizon conductivity can be expressed in terms of
geometrical quantities evaluated at the horizon, there exist no such neat
result for electrical conductivity at the boundary. In this paper we propose an
expression for boundary conductivity expressed in terms of geometrical
quantities evaluated at the horizon and thermodynamical quantities. We also
consider the theory at finite cutoff outside the horizon (arXiv:1006.1902) and
give an expression for cutoff dependent electrical conductivity, which
interpolates smoothly between horizon conductivity and boundary conductivity .
Using the results about the electrical conductivity we gain much insight into
the universality of thermal conductivity to viscosity ratio proposed in
arXiv:0912.2719.
| [
{
"created": "Tue, 17 Aug 2010 17:56:36 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Sep 2010 15:08:17 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Nov 2010 20:56:17 GMT",
"version": "v3"
}
] | 2010-11-23 | [
[
"Jain",
"Sachin",
""
]
] | It is known from earlier work of Iqbal, Liu (arXiv:0809.3808) that the boundary transport coefficients such as electrical conductivity (at vanishing chemical potential), shear viscosity etc. at low frequency and finite temperature can be expressed in terms of geometrical quantities evaluated at the horizon. In the case of electrical conductivity, at zero chemical potential gauge field fluctuation and metric fluctuation decouples, resulting in a trivial flow from horizon to boundary. In the presence of chemical potential, the story becomes complicated due to the fact that gauge field and metric fluctuation can no longer be decoupled. This results in a nontrivial flow from horizon to boundary. Though horizon conductivity can be expressed in terms of geometrical quantities evaluated at the horizon, there exist no such neat result for electrical conductivity at the boundary. In this paper we propose an expression for boundary conductivity expressed in terms of geometrical quantities evaluated at the horizon and thermodynamical quantities. We also consider the theory at finite cutoff outside the horizon (arXiv:1006.1902) and give an expression for cutoff dependent electrical conductivity, which interpolates smoothly between horizon conductivity and boundary conductivity . Using the results about the electrical conductivity we gain much insight into the universality of thermal conductivity to viscosity ratio proposed in arXiv:0912.2719. |
2407.09396 | Ohad Mamroud | Micha Berkooz, Ohad Mamroud | A Cordial Introduction to Double Scaled SYK | Invited review article for Reports on Progress in Physics | null | null | null | hep-th cond-mat.stat-mech cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | We review recent progress regarding the double scaled Sachdev-Ye-Kitaev model
and other $p$-local quantum mechanical random Hamiltonians. These models
exhibit an expansion using chord diagrams, which can be solved by combinatorial
methods. We describe exact results in these models, including their spectrum,
correlation functions, and Lyapunov exponent. In a certain limit, these
techniques manifest the relation to the Schwarzian quantum mechanics, a theory
of quantum gravity in $AdS_2$. More generally, the theory is controlled by a
rigid algebraic structure of a quantum group, suggesting a theory of quantum
gravity on non-commutative $q$-deformed $AdS_2$. We conclude with discussion of
related universality classes, and survey some of the current research
directions.
| [
{
"created": "Fri, 12 Jul 2024 16:18:36 GMT",
"version": "v1"
}
] | 2024-07-15 | [
[
"Berkooz",
"Micha",
""
],
[
"Mamroud",
"Ohad",
""
]
] | We review recent progress regarding the double scaled Sachdev-Ye-Kitaev model and other $p$-local quantum mechanical random Hamiltonians. These models exhibit an expansion using chord diagrams, which can be solved by combinatorial methods. We describe exact results in these models, including their spectrum, correlation functions, and Lyapunov exponent. In a certain limit, these techniques manifest the relation to the Schwarzian quantum mechanics, a theory of quantum gravity in $AdS_2$. More generally, the theory is controlled by a rigid algebraic structure of a quantum group, suggesting a theory of quantum gravity on non-commutative $q$-deformed $AdS_2$. We conclude with discussion of related universality classes, and survey some of the current research directions. |
1903.07336 | Koushik Ray | Samrat Bhowmick, Koushik Ray and Siddhartha Sen | Holography in de Sitter and anti-de Sitter Spaces and Gel'fand Graev
Radon transform | 1+23 pages. Addded new results. In particular, for the de Sitter case
we obtain the Wightman function for bulk-bulk correlation function exactly,
without recourse to asymptotic expansions | null | 10.1016/j.physletb.2019.134977 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Bulk reconstruction formulas similar to HKLL are obtained for de Sitter and
anti-de Sitter spaces as the inverse Gel'fand Graev Radon transform. While
these generalize our previous result on the Euclidean anti-de Sitter space,
their validity in here is restricted only to odd dimensions in both instances.
The exact Wightman function for the de Sitter space is then derived
analytically. The GGR transform fixes the coefficient of the Wightman function.
For the anti-de Sitter space it is shown that a reconstruction formula exists
for the case of time-like boundary as well. The restriction on the domain of
integration on the boundary is derived. As a special case, we point out that
the formula is valid for the BTZ black hole as well.
| [
{
"created": "Mon, 18 Mar 2019 09:57:31 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Sep 2019 09:01:42 GMT",
"version": "v2"
}
] | 2019-10-02 | [
[
"Bhowmick",
"Samrat",
""
],
[
"Ray",
"Koushik",
""
],
[
"Sen",
"Siddhartha",
""
]
] | Bulk reconstruction formulas similar to HKLL are obtained for de Sitter and anti-de Sitter spaces as the inverse Gel'fand Graev Radon transform. While these generalize our previous result on the Euclidean anti-de Sitter space, their validity in here is restricted only to odd dimensions in both instances. The exact Wightman function for the de Sitter space is then derived analytically. The GGR transform fixes the coefficient of the Wightman function. For the anti-de Sitter space it is shown that a reconstruction formula exists for the case of time-like boundary as well. The restriction on the domain of integration on the boundary is derived. As a special case, we point out that the formula is valid for the BTZ black hole as well. |
1910.06329 | Xi Dong | Xi Dong, Donald Marolf | One-loop universality of holographic codes | 45 pages, 1 figure | null | 10.1007/JHEP03(2020)191 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent work showed holographic error correcting codes to have simple
universal features at $O(1/G)$. In particular, states of fixed Ryu-Takayanagi
(RT) area in such codes are associated with flat entanglement spectra
indicating maximal entanglement between appropriate subspaces. We extend such
results to one-loop order ($O(1)$ corrections) by controlling both
higher-derivative corrections to the bulk effective action and dynamical
quantum fluctuations below the cutoff. This result clarifies the relation
between the bulk path integral and the quantum code, and implies that i) simple
tensor network models of holography continue to match the behavior of
holographic CFTs beyond leading order in $G$, ii) the relation between bulk and
boundary modular Hamiltonians derived by Jafferis, Lewkowycz, Maldacena, and
Suh holds as an operator equation on the code subspace and not just in
code-subspace expectation values, and iii) the code subspace is invariant under
an appropriate notion of modular flow. A final corollary requires interesting
cancelations to occur in the bulk renormalization-group flow of holographic
quantum codes. Intermediate technical results include showing the
Lewkowycz-Maldacena computation of RT entropy to take the form of a
Hamilton-Jacobi variation of the action with respect to boundary conditions,
corresponding results for higher-derivative actions, and generalizations to
allow RT surfaces with finite conical angles.
| [
{
"created": "Mon, 14 Oct 2019 18:00:00 GMT",
"version": "v1"
}
] | 2020-04-22 | [
[
"Dong",
"Xi",
""
],
[
"Marolf",
"Donald",
""
]
] | Recent work showed holographic error correcting codes to have simple universal features at $O(1/G)$. In particular, states of fixed Ryu-Takayanagi (RT) area in such codes are associated with flat entanglement spectra indicating maximal entanglement between appropriate subspaces. We extend such results to one-loop order ($O(1)$ corrections) by controlling both higher-derivative corrections to the bulk effective action and dynamical quantum fluctuations below the cutoff. This result clarifies the relation between the bulk path integral and the quantum code, and implies that i) simple tensor network models of holography continue to match the behavior of holographic CFTs beyond leading order in $G$, ii) the relation between bulk and boundary modular Hamiltonians derived by Jafferis, Lewkowycz, Maldacena, and Suh holds as an operator equation on the code subspace and not just in code-subspace expectation values, and iii) the code subspace is invariant under an appropriate notion of modular flow. A final corollary requires interesting cancelations to occur in the bulk renormalization-group flow of holographic quantum codes. Intermediate technical results include showing the Lewkowycz-Maldacena computation of RT entropy to take the form of a Hamilton-Jacobi variation of the action with respect to boundary conditions, corresponding results for higher-derivative actions, and generalizations to allow RT surfaces with finite conical angles. |
hep-th/9603121 | Andrzej Sitarz | Andrzej Sitarz | Noncommutative Differential Geometry and Connections on Simplicial
Manifolds | LaTeX2e, uses AMS-LaTeX package, 25 pages | Acta Phys.Polon. B28 (1997) 1039-1070 | null | MZ-TH/96-08 | hep-th hep-lat math.QA q-alg | null | For a simplicial manifold we construct the differential geometry structure
and use it to investigate linear connections, metric and gravity. We discuss
and compare three main approaches and calculate the resulting gravity action
functionals.
| [
{
"created": "Mon, 18 Mar 1996 09:23:35 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Sitarz",
"Andrzej",
""
]
] | For a simplicial manifold we construct the differential geometry structure and use it to investigate linear connections, metric and gravity. We discuss and compare three main approaches and calculate the resulting gravity action functionals. |
hep-th/0003097 | Luzi Bergamin | L. Bergamin and P. Minkowski | Dynamical Symmetry Breaking and Static Limits of Extended
Super-Yang-Mills Theories: A non-Seiberg-Wittian Approach | 25 pages, LaTex | null | null | BUTP-2000/05 | hep-th | null | From a supersymmetry covariant source extension of N=2 SYM we study
non-trivial thermodynamical limits thereof. Using an argument by one of us
about the solution of the strong CP problem and the uniqueness of the QCD
ground state we find that the dependence of the effective potential on the
defining field operators is severely restricted. In contrast to the solution by
Seiberg and Witten an acceptable infrared behavior only exists for broken
supersymmetry while the gauge symmetry remains unbroken.
| [
{
"created": "Mon, 13 Mar 2000 15:27:26 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bergamin",
"L.",
""
],
[
"Minkowski",
"P.",
""
]
] | From a supersymmetry covariant source extension of N=2 SYM we study non-trivial thermodynamical limits thereof. Using an argument by one of us about the solution of the strong CP problem and the uniqueness of the QCD ground state we find that the dependence of the effective potential on the defining field operators is severely restricted. In contrast to the solution by Seiberg and Witten an acceptable infrared behavior only exists for broken supersymmetry while the gauge symmetry remains unbroken. |
1402.6378 | Samir Mathur | Samir D. Mathur | What is the dual of two entangled CFTs? | 11 pages, 10 figures | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been conjectured that the dual of the eternal black hole in AdS is two
entangled but disconnected CFTs. We show that the entanglement created by the
process of Hawking radiation creates several challenges for this conjecture.
The nature of fuzzball states suggests a different picture, where the dual to
two entangled CFTs is two entangled but disconnected spacetimes. We argue for a
process of `quick tunneling' where the Einstein-Rosen bridge of the eternal
hole tunnels rapidly into fuzzball states, preventing the existence of the
eternal hole as a semiclassical spacetime. The regions behind the horizon then
emerge only in the approximation of fuzzball complementarity, where one
considers the impact of probes with energy $E\gg T$.
| [
{
"created": "Tue, 25 Feb 2014 23:57:51 GMT",
"version": "v1"
}
] | 2014-02-27 | [
[
"Mathur",
"Samir D.",
""
]
] | It has been conjectured that the dual of the eternal black hole in AdS is two entangled but disconnected CFTs. We show that the entanglement created by the process of Hawking radiation creates several challenges for this conjecture. The nature of fuzzball states suggests a different picture, where the dual to two entangled CFTs is two entangled but disconnected spacetimes. We argue for a process of `quick tunneling' where the Einstein-Rosen bridge of the eternal hole tunnels rapidly into fuzzball states, preventing the existence of the eternal hole as a semiclassical spacetime. The regions behind the horizon then emerge only in the approximation of fuzzball complementarity, where one considers the impact of probes with energy $E\gg T$. |
2207.06406 | Pushkal Shrivastava | Alok Laddha, Siddharth G. Prabhu, Suvrat Raju and Pushkal Shrivastava | Squinting at massive fields from infinity | 54 pages; 4 figures | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by-nc-sa/4.0/ | We study a novel asymptotic limit of massive scalar fields in
nongravitational quantum field theories in four-dimensional flat space. We
foliate the spacetime into a set of dS$_3$ slices that are spacelike to, and at
a constant proper distance from, an arbitrarily chosen origin, and study the
boundary dS$_3$ obtained in the infinite-distance limit. Massive bulk fields
have an exponentially small tail in this limit, and by stripping off this tail
we obtain observables that are intrinsic to the boundary dS$_3$. A single
massive field in the bulk can be decomposed into an infinite set of dS$_3$
fields, and the Minkowski vacuum corresponds to the Euclidean vacuum for these
fields. Our procedure for extrapolating bulk observables induces potential
singularities in boundary correlators but we show how they can be cured in the
free theory by smearing the boundary operators. We show that by integrating
boundary operators with suitable smearing functions it is possible to
reconstruct all local bulk operators in the free theory. We argue, using
perturbation theory, that our extrapolation procedure continues to be well
defined in the presence of interactions. We demonstrate a relationship between
the width of the boundary smearing function and the localization of the bulk
field. We study other interesting properties of the boundary algebra including
the action of global translations and the manner in which local bulk
interactions are encoded on the boundary.
| [
{
"created": "Wed, 13 Jul 2022 17:59:59 GMT",
"version": "v1"
}
] | 2022-07-14 | [
[
"Laddha",
"Alok",
""
],
[
"Prabhu",
"Siddharth G.",
""
],
[
"Raju",
"Suvrat",
""
],
[
"Shrivastava",
"Pushkal",
""
]
] | We study a novel asymptotic limit of massive scalar fields in nongravitational quantum field theories in four-dimensional flat space. We foliate the spacetime into a set of dS$_3$ slices that are spacelike to, and at a constant proper distance from, an arbitrarily chosen origin, and study the boundary dS$_3$ obtained in the infinite-distance limit. Massive bulk fields have an exponentially small tail in this limit, and by stripping off this tail we obtain observables that are intrinsic to the boundary dS$_3$. A single massive field in the bulk can be decomposed into an infinite set of dS$_3$ fields, and the Minkowski vacuum corresponds to the Euclidean vacuum for these fields. Our procedure for extrapolating bulk observables induces potential singularities in boundary correlators but we show how they can be cured in the free theory by smearing the boundary operators. We show that by integrating boundary operators with suitable smearing functions it is possible to reconstruct all local bulk operators in the free theory. We argue, using perturbation theory, that our extrapolation procedure continues to be well defined in the presence of interactions. We demonstrate a relationship between the width of the boundary smearing function and the localization of the bulk field. We study other interesting properties of the boundary algebra including the action of global translations and the manner in which local bulk interactions are encoded on the boundary. |
1108.1495 | David Finkelstein | David Ritz Finkelstein | Simplicial quantum dynamics | 25 pages. 1 table. Conference of the International Association for
Relativistic Dynamics, Taiwan, 2010 | null | 10.1088/1742-6596/330/1/012001 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Present-day quantum field theory can be regularized by a decomposition into
quantum simplices. This replaces the infinite-dimensional Hilbert space by a
high-dimensional spinor space and singular canonical Lie groups by regular spin
groups. It radically changes the uncertainty principle for small distances.
Gaugeons, including the gravitational, are represented as bound fermion-pairs,
and space-time curvature as a singular organized limit of quantum
non-commutativity.
Keywords: Quantum logic, quantum set theory, quantum gravity, quantum
topology, simplicial quantization.
| [
{
"created": "Sat, 6 Aug 2011 16:42:26 GMT",
"version": "v1"
}
] | 2015-05-30 | [
[
"Finkelstein",
"David Ritz",
""
]
] | Present-day quantum field theory can be regularized by a decomposition into quantum simplices. This replaces the infinite-dimensional Hilbert space by a high-dimensional spinor space and singular canonical Lie groups by regular spin groups. It radically changes the uncertainty principle for small distances. Gaugeons, including the gravitational, are represented as bound fermion-pairs, and space-time curvature as a singular organized limit of quantum non-commutativity. Keywords: Quantum logic, quantum set theory, quantum gravity, quantum topology, simplicial quantization. |
1205.3267 | M.J. Luo | M. J. Luo | Dynamic Critical Scaling of the Holographic Spin Fluctuations | RevTeX4, 10 pages, no figure, minor improvements | null | null | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Criticality with strong coupling is described by a theory in the vicinity of
a non-Gaussian fixed point. The holographic duality conjectures that a theory
at a non-Gaussian fixed point with strong coupling is dual to a gravitational
theory. In this paper, we present a holographic theory in treating the strongly
coupled critical spin fluctuations in quasi-2-dimension. We show that a
universal frequency over temperature scaling law is a rather general property
of the critical ac spin susceptibility at strongly coupled limit. Explicit
results for the dynamic scaling of spin susceptibility are obtained in large-N
and large 't Hooft limit. We argue that such critical scaling are in good
agreement with a number of experiments, some of which can not be explained by
any perturbative spin-density-wave theory. Our results strongly suggest that
the anomalous behavior of non-Fermi liquids in materials is closely related to
the spin fluctuations described through the non-Gaussian fixed point. The
exotic properties of non-Fermi liquids can be viewed as the Fermi liquids
coupling to strongly coupled critical spin fluctuations.
| [
{
"created": "Tue, 15 May 2012 06:04:54 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Sep 2012 03:04:40 GMT",
"version": "v2"
}
] | 2012-09-20 | [
[
"Luo",
"M. J.",
""
]
] | Criticality with strong coupling is described by a theory in the vicinity of a non-Gaussian fixed point. The holographic duality conjectures that a theory at a non-Gaussian fixed point with strong coupling is dual to a gravitational theory. In this paper, we present a holographic theory in treating the strongly coupled critical spin fluctuations in quasi-2-dimension. We show that a universal frequency over temperature scaling law is a rather general property of the critical ac spin susceptibility at strongly coupled limit. Explicit results for the dynamic scaling of spin susceptibility are obtained in large-N and large 't Hooft limit. We argue that such critical scaling are in good agreement with a number of experiments, some of which can not be explained by any perturbative spin-density-wave theory. Our results strongly suggest that the anomalous behavior of non-Fermi liquids in materials is closely related to the spin fluctuations described through the non-Gaussian fixed point. The exotic properties of non-Fermi liquids can be viewed as the Fermi liquids coupling to strongly coupled critical spin fluctuations. |
hep-th/0210113 | Mayburov S. N. | S. Mayburov (Lebedev Inst. of Physics, Moscow) | Fuzzy Phase Space Structure as Approach to Quantization | 21 page, Latex, Talk given at Quantum Foundations Conference, Vaxjo,
Sweden, 2001, to appear in Proceddings | null | null | null | hep-th | null | Modification of nonrelativistic phase space structure based on fuzzy ordered
sets (Fosets) structure investigated as a possible quantization framework. In
this model particle's $m$ state corresponds to Foset element - fuzzy point. Due
to fuzzy ordering its space coordinate $x$ acquires principal uncertainty
$\sigma_x$. It's shown that proposed Mechanics on fuzzy phase space manifold
reproduces the main quantum effects, in particular the interference of quantum
states.
| [
{
"created": "Fri, 11 Oct 2002 13:52:05 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Mayburov",
"S.",
"",
"Lebedev Inst. of Physics, Moscow"
]
] | Modification of nonrelativistic phase space structure based on fuzzy ordered sets (Fosets) structure investigated as a possible quantization framework. In this model particle's $m$ state corresponds to Foset element - fuzzy point. Due to fuzzy ordering its space coordinate $x$ acquires principal uncertainty $\sigma_x$. It's shown that proposed Mechanics on fuzzy phase space manifold reproduces the main quantum effects, in particular the interference of quantum states. |
hep-th/9711189 | William Brown | William E. Brown | Equivalence of the Beta-function of the Variational Approach to that of
QCD | 35 pages, 11 figures, LaTeX | Int.J.Mod.Phys. A13 (1998) 5219-5244 | 10.1142/S0217751X98002390 | OUTP-97-65P | hep-th | null | The variational ansatz for the ground state wavefunctional of QCD is found to
capture the anti-screening behaviour that contributes the dominant `-4' to the
beta-function and leads to asymptotic freedom. By considering an SU(N) purely
gauge theory in the Hamiltonian formalism and choosing the Coulomb gauge, the
origins of all screening and anti-screening contributions in gluon processes
are found in terms of the physical degrees of freedom. The overwhelming anti-
screening contribution of `-4' is seen to originate in the renormalisation of a
Coulomb interaction by a transverse gluon. The lesser screening contribution of
`1/3' is seen to originate in processes involving transverse gluon
interactions. It is thus apparent how the variational ansatz must be developed
to capture the full running of the QCD coupling constant.
| [
{
"created": "Wed, 26 Nov 1997 12:20:30 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Brown",
"William E.",
""
]
] | The variational ansatz for the ground state wavefunctional of QCD is found to capture the anti-screening behaviour that contributes the dominant `-4' to the beta-function and leads to asymptotic freedom. By considering an SU(N) purely gauge theory in the Hamiltonian formalism and choosing the Coulomb gauge, the origins of all screening and anti-screening contributions in gluon processes are found in terms of the physical degrees of freedom. The overwhelming anti- screening contribution of `-4' is seen to originate in the renormalisation of a Coulomb interaction by a transverse gluon. The lesser screening contribution of `1/3' is seen to originate in processes involving transverse gluon interactions. It is thus apparent how the variational ansatz must be developed to capture the full running of the QCD coupling constant. |
2109.01088 | Georgios Linardopoulos | Minos Axenides, Emmanuel Floratos, Dimitrios Katsinis, Georgios
Linardopoulos | Cascade of instabilities in the classical limit of the BMN matrix model | 10 pages, 1 figure | Phys. Rev. D104 (2021) 106002 | 10.1103/PhysRevD.104.106002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the leading (LO) and the next-to-leading order (NLO) stability of
multipole perturbations for a static dielectric M2-brane with spherical
topology in the 11-dimensional maximally supersymmetric plane-wave background.
We observe a cascade of instabilities that originates from the dipole (j=1) and
quadrupole (j=2) sectors (the only unstable sectors of the LO) and propagates
towards all the multipoles of the NLO.
| [
{
"created": "Thu, 2 Sep 2021 17:05:58 GMT",
"version": "v1"
}
] | 2021-11-09 | [
[
"Axenides",
"Minos",
""
],
[
"Floratos",
"Emmanuel",
""
],
[
"Katsinis",
"Dimitrios",
""
],
[
"Linardopoulos",
"Georgios",
""
]
] | We study the leading (LO) and the next-to-leading order (NLO) stability of multipole perturbations for a static dielectric M2-brane with spherical topology in the 11-dimensional maximally supersymmetric plane-wave background. We observe a cascade of instabilities that originates from the dipole (j=1) and quadrupole (j=2) sectors (the only unstable sectors of the LO) and propagates towards all the multipoles of the NLO. |
hep-th/9212001 | Andrzej Sitarz | Andrzej Sitarz | Noncommutative Geometry and The Ising Model | 12 pages, LaTeX, TPJU - 18/92, December 1992 | null | 10.1088/0305-4470/26/20/017 | null | hep-th | null | The main aim of this work is to present the interpretation of the Ising type
models as a kind of field theory in the framework of noncommutative geometry.
We present the method and construct sample models of field theory on discrete
spaces using the introduced tools of discrete geometry. We write the action for
few models, then we compare them with various models of statistical physics. We
construct also the gauge theory with a discrete gauge group.
| [
{
"created": "Tue, 1 Dec 1992 11:04:12 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Sitarz",
"Andrzej",
""
]
] | The main aim of this work is to present the interpretation of the Ising type models as a kind of field theory in the framework of noncommutative geometry. We present the method and construct sample models of field theory on discrete spaces using the introduced tools of discrete geometry. We write the action for few models, then we compare them with various models of statistical physics. We construct also the gauge theory with a discrete gauge group. |
hep-th/0004137 | Thomas Pisar | Thomas Pisar | Symmetry content of a generalized p-form model of Schwarz-type in d
dimensions | 7 pages | Phys.Lett. B513 (2001) 413-420 | 10.1016/S0370-2693(01)00255-6 | TUW 00-12 | hep-th | null | We derive the vector supersymmetry and the \L-symmetry transformations for
the fields of a generalized topological $p$-form model of Schwarz-type in $d$
space-time dimensions.
| [
{
"created": "Wed, 19 Apr 2000 10:42:30 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Pisar",
"Thomas",
""
]
] | We derive the vector supersymmetry and the \L-symmetry transformations for the fields of a generalized topological $p$-form model of Schwarz-type in $d$ space-time dimensions. |
1101.5951 | Patrick Dorey | Patrick Dorey, Kieran Mersh, Tomasz Romanczukiewicz, Yasha Shnir | Kink-antikink collisions in the phi^6 model | 4 pages, 5 ps figures. v2: 3 references added | null | 10.1103/PhysRevLett.107.091602 | DCPT-10/81 | hep-th nlin.PS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study kink-antikink collisions in the one-dimensional non-integrable
scalar phi^6 model. Although the single-kink solutions for this model do not
possess an internal vibrational mode, our simulations reveal a resonant
scattering structure, thereby providing a counterexample to the standard belief
that existence of such a mode is a necessary condition for multi-bounce
resonances in general kink-antikink collisions. We investigate the two-bounce
windows in detail, and present evidence that this structure is caused by
existence of bound states in the spectrum of small oscillations about a
combined kink-antikink configuration.
| [
{
"created": "Mon, 31 Jan 2011 13:25:42 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Feb 2011 11:19:36 GMT",
"version": "v2"
}
] | 2013-05-29 | [
[
"Dorey",
"Patrick",
""
],
[
"Mersh",
"Kieran",
""
],
[
"Romanczukiewicz",
"Tomasz",
""
],
[
"Shnir",
"Yasha",
""
]
] | We study kink-antikink collisions in the one-dimensional non-integrable scalar phi^6 model. Although the single-kink solutions for this model do not possess an internal vibrational mode, our simulations reveal a resonant scattering structure, thereby providing a counterexample to the standard belief that existence of such a mode is a necessary condition for multi-bounce resonances in general kink-antikink collisions. We investigate the two-bounce windows in detail, and present evidence that this structure is caused by existence of bound states in the spectrum of small oscillations about a combined kink-antikink configuration. |
hep-th/9209026 | D. Bazeia | D. Bazeia | Gauge Invariance in Chern-Simons Systems | 10 pages, Plain Tex, DF/UFPB-14/92 | Phys.Rev. D47 (1993) 734-737 | 10.1103/PhysRevD.47.734 | null | hep-th | null | We show explicitly that the question of gauge invariance of the effective
potential in standard scalar electrodynamics remains unchanged despite the
introduction of the Chern-Simons term. The result does not depend on the
presence of the Maxwell term in the Chern-Simons territory.
| [
{
"created": "Tue, 8 Sep 1992 21:15:41 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Bazeia",
"D.",
""
]
] | We show explicitly that the question of gauge invariance of the effective potential in standard scalar electrodynamics remains unchanged despite the introduction of the Chern-Simons term. The result does not depend on the presence of the Maxwell term in the Chern-Simons territory. |
hep-th/0304198 | Matthias Blau | Matthias Blau, Martin O'Loughlin, George Papadopoulos, Arkady A.
Tseytlin | Solvable models of strings in homogeneous plane wave backgrounds | 48 pages, LaTeX2e, v2: additional reference and cosmetic corrections | Nucl.Phys.B673:57-97,2003 | 10.1016/j.nuclphysb.2003.09.018 | null | hep-th | null | We solve closed string theory in all regular homogeneous plane-wave
backgrounds with homogeneous NS three-form field strength and a dilaton. The
parameters of the model are constant symmetric and anti-symmetric matrices
k_{ij} and f_{ij} associated with the metric, and a constant anti-symmetric
matrix h_{ij} associated with the NS field strength. In the light-cone gauge
the rotation parameters f_{ij} have a natural interpretation as a constant
magnetic field. This is a generalisation of the standard Landau problem with
oscillator energies now being non-trivial functions of the parameters f_{ij}
and k_{ij}. We develop a general procedure for solving linear but non-diagonal
equations for string coordinates, and determine the corresponding oscillator
frequencies, the light-cone Hamiltonian and level matching condition. We
investigate the resulting string spectrum in detail in the four-dimensional
case and compare the results with previously studied examples. Throughout we
will find that the presence of the rotation parameter f_{ij} can lead to
certain unusual and unexpected features of the string spectrum like new
massless states at non-zero string levels, stabilisation of otherwise unstable
(tachyonic) modes, and discrete but not positive definite string oscillator
spectra.
| [
{
"created": "Wed, 23 Apr 2003 17:37:54 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Jun 2003 12:08:21 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Blau",
"Matthias",
""
],
[
"O'Loughlin",
"Martin",
""
],
[
"Papadopoulos",
"George",
""
],
[
"Tseytlin",
"Arkady A.",
""
]
] | We solve closed string theory in all regular homogeneous plane-wave backgrounds with homogeneous NS three-form field strength and a dilaton. The parameters of the model are constant symmetric and anti-symmetric matrices k_{ij} and f_{ij} associated with the metric, and a constant anti-symmetric matrix h_{ij} associated with the NS field strength. In the light-cone gauge the rotation parameters f_{ij} have a natural interpretation as a constant magnetic field. This is a generalisation of the standard Landau problem with oscillator energies now being non-trivial functions of the parameters f_{ij} and k_{ij}. We develop a general procedure for solving linear but non-diagonal equations for string coordinates, and determine the corresponding oscillator frequencies, the light-cone Hamiltonian and level matching condition. We investigate the resulting string spectrum in detail in the four-dimensional case and compare the results with previously studied examples. Throughout we will find that the presence of the rotation parameter f_{ij} can lead to certain unusual and unexpected features of the string spectrum like new massless states at non-zero string levels, stabilisation of otherwise unstable (tachyonic) modes, and discrete but not positive definite string oscillator spectra. |
hep-th/0010254 | Hiroshi Umetsu | Noboru Kawamoto, Takuya Tsukioka and Hiroshi Umetsu | Generalized Gauge Theories and Weinberg-Salam Model with Dirac-K\"ahler
Fermions | 33 pages, LaTeX | Int.J.Mod.Phys. A16 (2001) 3867-3896 | 10.1142/S0217751X01004438 | EPHOU-00-011 | hep-th | null | We extend previously proposed generalized gauge theory formulation of
Chern-Simons type and topological Yang-Mills type actions into Yang-Mills type
actions. We formulate gauge fields and Dirac-K\"ahler matter fermions by all
degrees of differential forms. The simplest version of the model which includes
only zero and one form gauge fields accommodated with the graded Lie algebra of
$SU(2|1)$ supergroup leads Weinberg-Salam model. Thus the Weinberg-Salam model
formulated by noncommutative geometry is a particular example of the present
formulation.
| [
{
"created": "Fri, 27 Oct 2000 12:29:42 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Kawamoto",
"Noboru",
""
],
[
"Tsukioka",
"Takuya",
""
],
[
"Umetsu",
"Hiroshi",
""
]
] | We extend previously proposed generalized gauge theory formulation of Chern-Simons type and topological Yang-Mills type actions into Yang-Mills type actions. We formulate gauge fields and Dirac-K\"ahler matter fermions by all degrees of differential forms. The simplest version of the model which includes only zero and one form gauge fields accommodated with the graded Lie algebra of $SU(2|1)$ supergroup leads Weinberg-Salam model. Thus the Weinberg-Salam model formulated by noncommutative geometry is a particular example of the present formulation. |
hep-th/9603134 | Martin Cederwall | Martin Cederwall and Magnus Holm | Monopole and Dyon Spectra in N=2 SYM with Higher Rank Gauge Groups | 24 pages, plain tex, 6 figures. uuencoded compressed tar file. Three
references added | null | null | Goteborg-ITP-96-4 | hep-th | null | We derive parts of the monopole and dyon spectra for N=2 super-Yang--Mills
theories in four dimensions with gauge groups G of rank r>1 and matter
multiplets. Special emphasis is put on G=SU(3) and those matter contents that
yield perturbatively finite theories. There is no direct interpretation of the
soliton spectra in terms of naive selfduality under strong--weak coupling and
exchange of electric and magnetic charges. We argue that, in general, the
standard procedure of finding the dyon spectrum will not give results that
support a conventional selfduality hypothesis --- the SU(2) theory with four
fundamental hypermultiplets seems to be an exception. Possible interpretations
of the results are discussed.
| [
{
"created": "Wed, 20 Mar 1996 10:35:02 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Mar 1996 12:16:00 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Cederwall",
"Martin",
""
],
[
"Holm",
"Magnus",
""
]
] | We derive parts of the monopole and dyon spectra for N=2 super-Yang--Mills theories in four dimensions with gauge groups G of rank r>1 and matter multiplets. Special emphasis is put on G=SU(3) and those matter contents that yield perturbatively finite theories. There is no direct interpretation of the soliton spectra in terms of naive selfduality under strong--weak coupling and exchange of electric and magnetic charges. We argue that, in general, the standard procedure of finding the dyon spectrum will not give results that support a conventional selfduality hypothesis --- the SU(2) theory with four fundamental hypermultiplets seems to be an exception. Possible interpretations of the results are discussed. |
hep-th/0201157 | Dirk Kreimer | Alain Connes and Dirk Kreimer | Insertion and Elimination: the doubly infinite Lie algebra of Feynman
graphs | 21 pages, eps figures | Annales Henri Poincare 3 (2002) 411-433 | 10.1007/s00023-002-8622-9 | BUCMP/02-01 | hep-th math.QA | null | The Lie algebra of Feynman graphs gives rise to two natural representations,
acting as derivations on the commutative Hopf algebra of Feynman graphs, by
creating or eliminating subgraphs. Insertions and eliminations do not commute,
but rather establish a larger Lie algebra of derivations which we here
determine.
| [
{
"created": "Sun, 20 Jan 2002 22:10:38 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Jan 2002 20:24:00 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Connes",
"Alain",
""
],
[
"Kreimer",
"Dirk",
""
]
] | The Lie algebra of Feynman graphs gives rise to two natural representations, acting as derivations on the commutative Hopf algebra of Feynman graphs, by creating or eliminating subgraphs. Insertions and eliminations do not commute, but rather establish a larger Lie algebra of derivations which we here determine. |
0808.1250 | Anirban Basu | Anirban Basu and Savdeep Sethi | Recursion Relations from Space-time Supersymmetry | 43 pages, LaTeX | JHEP 0809:081,2008 | 10.1088/1126-6708/2008/09/081 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a method for obtaining relations between higher derivative
interactions in supersymmetric effective actions. The method extends to all
orders in the momentum expansion. As an application, we consider the string
coupling dependence of the \hat{G}^{2k} \lambda^{16} interaction in type IIB
string theory. Using supersymmetry, we show that each of these interactions
satisfies a Poisson equation on the moduli space with sources determined by
lower momentum interactions. We argue that these protected couplings are only
renormalized by a finite number of string loops together with non-perturbative
terms. Finally, we explore some consequences of the Poisson equation for low
values of k.
| [
{
"created": "Fri, 8 Aug 2008 17:23:45 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Basu",
"Anirban",
""
],
[
"Sethi",
"Savdeep",
""
]
] | We describe a method for obtaining relations between higher derivative interactions in supersymmetric effective actions. The method extends to all orders in the momentum expansion. As an application, we consider the string coupling dependence of the \hat{G}^{2k} \lambda^{16} interaction in type IIB string theory. Using supersymmetry, we show that each of these interactions satisfies a Poisson equation on the moduli space with sources determined by lower momentum interactions. We argue that these protected couplings are only renormalized by a finite number of string loops together with non-perturbative terms. Finally, we explore some consequences of the Poisson equation for low values of k. |
hep-th/9810136 | Tadahiko Kimura | Tadahiko Kimura | Self-Duality of Super D3-brane Action on $AdS_{5}\times S^{5}$
Background | 10 pages | Mod.Phys.Lett. A14 (1999) 327-336 | 10.1142/S0217732399000377 | CHIBA-EP_110 | hep-th | null | We show that the super D3-brane action on $AdS_5 \times S^5$ background
recently constructed by Metsaev and Tseytlin is exactly invariant under the
combination of the electric-magnetic duality transformation of the worldvolume
gauge field and the SO(2) rotaion of N=2 spinor coordinates. The action is
shown to satisfy the Gaillard-Zumino duality condition, which is a necessary
and sufficient condition for a action to be self-dual. Our proof needs no gauge
fixing for the $\kappa$-symmetry.
| [
{
"created": "Mon, 19 Oct 1998 07:38:55 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Kimura",
"Tadahiko",
""
]
] | We show that the super D3-brane action on $AdS_5 \times S^5$ background recently constructed by Metsaev and Tseytlin is exactly invariant under the combination of the electric-magnetic duality transformation of the worldvolume gauge field and the SO(2) rotaion of N=2 spinor coordinates. The action is shown to satisfy the Gaillard-Zumino duality condition, which is a necessary and sufficient condition for a action to be self-dual. Our proof needs no gauge fixing for the $\kappa$-symmetry. |
hep-th/0110045 | Igor Kondrashuk | Igor Kondrashuk | The solution to Slavnov--Taylor identities in a general four dimensional
supersymmetric theory | 7 pages, no figures, two minor corrections, one notation is changed | null | null | USM-TH-114 | hep-th | null | A solution to Slavnov-Taylor identities in a general four dimensional N=1
supersymmetric Yang-Mills theory containing arbitrary matter superfields is
proposed. The solution proposed appears just a simple generalization of an
analogous solution in the pure supersymmetric Yang-Mills theory.
| [
{
"created": "Thu, 4 Oct 2001 14:43:50 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Oct 2001 22:31:57 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Kondrashuk",
"Igor",
""
]
] | A solution to Slavnov-Taylor identities in a general four dimensional N=1 supersymmetric Yang-Mills theory containing arbitrary matter superfields is proposed. The solution proposed appears just a simple generalization of an analogous solution in the pure supersymmetric Yang-Mills theory. |
hep-th/9408134 | Larus Thorlacius | D.A. Lowe and L. Thorlacius | Hot String Soup | 13 pages, no figures, uses LaTex, some errors in equations have been
corrected, NSF-ITP-94-83, UCSBTH-94-30 | Phys.Rev.D51:665-670,1995 | 10.1103/PhysRevD.51.665 | null | hep-th | null | Above the Hagedorn energy density closed fundamental strings form a long
string phase. The dynamics of weakly interacting long strings is described by a
simple Boltzmann equation which can be solved explicitly for equilibrium
distributions. The average total number of long strings grows logarithmically
with total energy in the microcanonical ensemble. This is consistent with
calculations of the free single string density of states provided the
thermodynamic limit is carefully defined. If the theory contains open strings
the long string phase is suppressed.
| [
{
"created": "Wed, 24 Aug 1994 23:08:56 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Sep 1994 23:57:00 GMT",
"version": "v2"
}
] | 2010-11-01 | [
[
"Lowe",
"D. A.",
""
],
[
"Thorlacius",
"L.",
""
]
] | Above the Hagedorn energy density closed fundamental strings form a long string phase. The dynamics of weakly interacting long strings is described by a simple Boltzmann equation which can be solved explicitly for equilibrium distributions. The average total number of long strings grows logarithmically with total energy in the microcanonical ensemble. This is consistent with calculations of the free single string density of states provided the thermodynamic limit is carefully defined. If the theory contains open strings the long string phase is suppressed. |
hep-th/0110116 | Rafael I. Nepomechie | Rafael I. Nepomechie | Solving the open XXZ spin chain with nondiagonal boundary terms at roots
of unity | 20 pages, LaTeX; amssymb, no figures; V3 contains Note Added giving
coefficients c_{p,l} | Nucl.Phys. B622 (2002) 615-632 | 10.1016/S0550-3213(01)00585-5 | UMTG-232 | hep-th | null | We consider the open XXZ quantum spin chain with nondiagonal boundary terms.
For bulk anisotropy value \eta = i \pi/(p+1), p= 1, 2, ..., we propose an exact
(p+1)-order functional relation for the transfer matrix, which implies
Bethe-Ansatz-like equations for the corresponding eigenvalues. The key
observation is that the fused spin-(p+1)/2 transfer matrix can be expressed in
terms of a lower-spin transfer matrix, resulting in the truncation of the
fusion hierarchy.
| [
{
"created": "Fri, 12 Oct 2001 19:21:24 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Oct 2001 12:35:01 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Mar 2002 15:58:33 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Nepomechie",
"Rafael I.",
""
]
] | We consider the open XXZ quantum spin chain with nondiagonal boundary terms. For bulk anisotropy value \eta = i \pi/(p+1), p= 1, 2, ..., we propose an exact (p+1)-order functional relation for the transfer matrix, which implies Bethe-Ansatz-like equations for the corresponding eigenvalues. The key observation is that the fused spin-(p+1)/2 transfer matrix can be expressed in terms of a lower-spin transfer matrix, resulting in the truncation of the fusion hierarchy. |
hep-th/9709038 | Katrin Becker | Katrin Becker | Testing M(atrix)-Theory at Two Loops | 7 pages, latex, 1 figure. Lecture given at STRINGS97 | Nucl.Phys.Proc.Suppl. 68 (1998) 165-171 | 10.1016/S0920-5632(98)00150-9 | NSF-ITP-97-110 | hep-th | null | I discuss the relation between M-theory and M(atrix)-theory in flat space by
considering the effective potential for the scattering of two groups of
D0-branes in both theories. An explicit calculation of this potential up to two
loop order in M(atrix)-theory reveals a fascinating agreement. Lecture given at
Strings '97; June 17, 1997.
| [
{
"created": "Thu, 4 Sep 1997 22:48:36 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Becker",
"Katrin",
""
]
] | I discuss the relation between M-theory and M(atrix)-theory in flat space by considering the effective potential for the scattering of two groups of D0-branes in both theories. An explicit calculation of this potential up to two loop order in M(atrix)-theory reveals a fascinating agreement. Lecture given at Strings '97; June 17, 1997. |
2006.09413 | Claude Duhr | Francis Brown, Claude Duhr | A double integral of dlog forms which is not polylogarithmic | 25 pages, 4 figures. To appear in the proceedings of
"Mathemamplitudes", held in Padova in December 2019 | null | null | CERN-TH-2020-097 | hep-th hep-ph math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Feynman integrals are central to all calculations in perturbative Quantum
Field Theory. They often give rise to iterated integrals of dlog-forms with
algebraic arguments, which in many cases can be evaluated in terms of multiple
polylogarithms. This has led to certain folklore beliefs in the community
stating that all such integrals evaluate to polylogarithms. Here we discuss a
concrete example of a double iterated integral of two dlog-forms that evaluates
to a period of a cusp form. The motivic versions of these integrals are shown
to be algebraically independent from all multiple polylogarithms evaluated at
algebraic arguments. From a mathematical perspective, we study a mixed elliptic
Hodge structure arising from a simple geometric configuration in
$\mathbb{P}^2$, consisting of a modular plane elliptic curve and a set of lines
which meet it at torsion points, which may provide an interesting worked
example from the point of view of periods, extensions of motives, and
L-functions.
| [
{
"created": "Tue, 16 Jun 2020 18:00:51 GMT",
"version": "v1"
}
] | 2020-06-18 | [
[
"Brown",
"Francis",
""
],
[
"Duhr",
"Claude",
""
]
] | Feynman integrals are central to all calculations in perturbative Quantum Field Theory. They often give rise to iterated integrals of dlog-forms with algebraic arguments, which in many cases can be evaluated in terms of multiple polylogarithms. This has led to certain folklore beliefs in the community stating that all such integrals evaluate to polylogarithms. Here we discuss a concrete example of a double iterated integral of two dlog-forms that evaluates to a period of a cusp form. The motivic versions of these integrals are shown to be algebraically independent from all multiple polylogarithms evaluated at algebraic arguments. From a mathematical perspective, we study a mixed elliptic Hodge structure arising from a simple geometric configuration in $\mathbb{P}^2$, consisting of a modular plane elliptic curve and a set of lines which meet it at torsion points, which may provide an interesting worked example from the point of view of periods, extensions of motives, and L-functions. |
hep-th/9312016 | Koos de Vos | K. de Vos and P. van Driel | The Kazhdan-Lusztig conjecture for finite W-algebras | 11 pages | Lett.Math.Phys.35:333-344,1995 | 10.1007/BF00750840 | DAMTP-93-66, UCLA/93/TEP/46 | hep-th math.QA | null | We study the representation theory of finite W-algebras. After introducing
parabolic subalgebras to describe the structure of W-algebras, we define the
Verma modules and give a conjecture for the Kac determinant. This allows us to
find the completely degenerate representations of the finite W-algebras. To
extract the irreducible representations we analyse the structure of singular
and subsingular vectors, and find that for W-algebras, in general the maximal
submodule of a Verma module is not generated by singular vectors only.
Surprisingly, the role of the (sub)singular vectors can be encapsulated in
terms of a `dual' analogue of the Kazhdan-Lusztig theorem for simple Lie
algebras. These involve dual relative Kazhdan-Lusztig polynomials. We support
our conjectures with some examples, and briefly discuss applications and the
generalisation to infinite W-algebras.
| [
{
"created": "Fri, 3 Dec 1993 00:04:26 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"de Vos",
"K.",
""
],
[
"van Driel",
"P.",
""
]
] | We study the representation theory of finite W-algebras. After introducing parabolic subalgebras to describe the structure of W-algebras, we define the Verma modules and give a conjecture for the Kac determinant. This allows us to find the completely degenerate representations of the finite W-algebras. To extract the irreducible representations we analyse the structure of singular and subsingular vectors, and find that for W-algebras, in general the maximal submodule of a Verma module is not generated by singular vectors only. Surprisingly, the role of the (sub)singular vectors can be encapsulated in terms of a `dual' analogue of the Kazhdan-Lusztig theorem for simple Lie algebras. These involve dual relative Kazhdan-Lusztig polynomials. We support our conjectures with some examples, and briefly discuss applications and the generalisation to infinite W-algebras. |
1903.01765 | Fech Scen Khoo | Athanasios Chatzistavrakidis, Larisa Jonke, Fech Scen Khoo and Richard
J. Szabo | The Algebroid Structure of Double Field Theory | 11 pages; proceedings of "Dualities and Generalized Geometries",
Corfu Summer Institute 2018. v2: typo corrected, reference added | null | null | EMPG-19-03 | hep-th math-ph math.DG math.MP math.SG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By doubling the target space of a canonical Courant algebroid and
subsequently projecting down to a specific subbundle, we identify the data of
double field theory (DFT) and hence define its algebroid structure. We specify
the properties of the DFT algebroid. We show that one of the Courant algebroid
properties plays the role of the strong constraint in the context of DFT. The
DFT algebroid is a special example when properties of a Courant algebroid are
relaxed in a specific and dependent manner. When otherwise, we uncover
additional structures.
| [
{
"created": "Tue, 5 Mar 2019 10:46:55 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Mar 2019 12:54:16 GMT",
"version": "v2"
}
] | 2019-03-13 | [
[
"Chatzistavrakidis",
"Athanasios",
""
],
[
"Jonke",
"Larisa",
""
],
[
"Khoo",
"Fech Scen",
""
],
[
"Szabo",
"Richard J.",
""
]
] | By doubling the target space of a canonical Courant algebroid and subsequently projecting down to a specific subbundle, we identify the data of double field theory (DFT) and hence define its algebroid structure. We specify the properties of the DFT algebroid. We show that one of the Courant algebroid properties plays the role of the strong constraint in the context of DFT. The DFT algebroid is a special example when properties of a Courant algebroid are relaxed in a specific and dependent manner. When otherwise, we uncover additional structures. |
1110.4112 | Allen Stern | Lei Lu and A. Stern | Particle Dynamics on Snyder space | 22 pages | null | 10.1016/j.nuclphysb.2012.02.012 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine Hamiltonian formalism on Euclidean Snyder space. The latter
corresponds to a lattice in the quantum theory. For any given dynamical system,
it may not be possible to identify time with a real number parametrizing the
evolution in the quantum theory. The alternative requires the introduction of a
dynamical time operator. We obtain the dynamical time operator for the
relativistic (nonrelativistic) particle, and use it to construct the generators
of Poincar\'e (Galilei) group on Snyder space.
| [
{
"created": "Tue, 18 Oct 2011 20:02:31 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Mar 2012 19:56:16 GMT",
"version": "v2"
}
] | 2015-05-30 | [
[
"Lu",
"Lei",
""
],
[
"Stern",
"A.",
""
]
] | We examine Hamiltonian formalism on Euclidean Snyder space. The latter corresponds to a lattice in the quantum theory. For any given dynamical system, it may not be possible to identify time with a real number parametrizing the evolution in the quantum theory. The alternative requires the introduction of a dynamical time operator. We obtain the dynamical time operator for the relativistic (nonrelativistic) particle, and use it to construct the generators of Poincar\'e (Galilei) group on Snyder space. |
1906.01058 | Yasha Neiman | Adrian David, Nico Fischer and Yasha Neiman | Spinor-helicity variables for cosmological horizons in de Sitter space | 5 pages; v2: improved references, introduction | Phys. Rev. D 100, 045005 (2019) | 10.1103/PhysRevD.100.045005 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider massless fields of arbitrary spin in de Sitter space. We
introduce a spinor-helicity formalism, which encodes the field data on a
cosmological horizon. These variables reduce the free S-matrix in an observer's
causal patch, i.e. the evolution of free fields from one horizon to another, to
a simple Fourier transform. We show how this result arises via twistor theory,
by decomposing the horizon<->horizon problem into a pair of (more symmetric)
horizon<->twistor problems.
| [
{
"created": "Mon, 3 Jun 2019 20:08:02 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Jul 2019 06:40:01 GMT",
"version": "v2"
}
] | 2019-08-14 | [
[
"David",
"Adrian",
""
],
[
"Fischer",
"Nico",
""
],
[
"Neiman",
"Yasha",
""
]
] | We consider massless fields of arbitrary spin in de Sitter space. We introduce a spinor-helicity formalism, which encodes the field data on a cosmological horizon. These variables reduce the free S-matrix in an observer's causal patch, i.e. the evolution of free fields from one horizon to another, to a simple Fourier transform. We show how this result arises via twistor theory, by decomposing the horizon<->horizon problem into a pair of (more symmetric) horizon<->twistor problems. |
hep-th/0503213 | Andrei Smilga | A.V. Smilga | Ghost-free higher-derivative theory | 13 pages, 1 figure | Phys.Lett.B632:433-438,2006 | 10.1016/j.physletb.2005.10.014 | null | hep-th | null | We present an example of the quantum system with higher derivatives in the
Lagrangian, which is ghost-free: the spectrum of the Hamiltonian is bounded
from below and unitarity is preserved.
| [
{
"created": "Sun, 27 Mar 2005 15:00:22 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Smilga",
"A. V.",
""
]
] | We present an example of the quantum system with higher derivatives in the Lagrangian, which is ghost-free: the spectrum of the Hamiltonian is bounded from below and unitarity is preserved. |
hep-th/9606095 | Tetsuji Miwa | Y. Asai, M. Jimbo, T. Miwa and Y. Pugai | Bosonization of vertex operators for the $A^{(1)_{n-1}$ face model | null | J.Phys.A29:6595-6616,1996 | 10.1088/0305-4470/29/20/015 | RIMS-1082 | hep-th | null | We present a free boson realization of the vertex operators and their duals
for the solvable SOS lattice model of $A^{(1)}_{n-1}$ type. We discuss a
possible connection to the calculation of the correlation functions.
| [
{
"created": "Mon, 17 Jun 1996 06:39:37 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Asai",
"Y.",
""
],
[
"Jimbo",
"M.",
""
],
[
"Miwa",
"T.",
""
],
[
"Pugai",
"Y.",
""
]
] | We present a free boson realization of the vertex operators and their duals for the solvable SOS lattice model of $A^{(1)}_{n-1}$ type. We discuss a possible connection to the calculation of the correlation functions. |
hep-th/0505062 | Alexander Nichols | Jan de Gier, Alexander Nichols, Pavel Pyatov, and Vladimir Rittenberg | Magic in the spectra of the XXZ quantum chain with boundaries at Delta=0
and Delta=-1/2 | 29 pages | Nucl.Phys.B729:387-418,2005 | 10.1016/j.nuclphysb.2005.09.005 | null | hep-th cond-mat.stat-mech | null | We show that from the spectra of the U_q (sl(2)) symmetric XXZ spin-1/2
finite quantum chain at Delta=-1/2 (q=e^{pi i/3}) one can obtain the spectra of
certain XXZ quantum chains with diagonal and non-diagonal boundary conditions.
Similar observations are made for Delta=0 (q=e^{pi i/2}). In the finite-size
scaling limit the relations among the various spectra are the result of
identities satisfied by known character functions. For the finite chains the
origin of the remarkable spectral identities can be found in the representation
theory of one and two boundaries Temperley-Lieb algebras at exceptional points.
Inspired by these observations we have discovered other spectral identities
between chains with different boundary conditions.
| [
{
"created": "Fri, 6 May 2005 18:16:36 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Aug 2005 13:11:19 GMT",
"version": "v2"
}
] | 2009-02-02 | [
[
"de Gier",
"Jan",
""
],
[
"Nichols",
"Alexander",
""
],
[
"Pyatov",
"Pavel",
""
],
[
"Rittenberg",
"Vladimir",
""
]
] | We show that from the spectra of the U_q (sl(2)) symmetric XXZ spin-1/2 finite quantum chain at Delta=-1/2 (q=e^{pi i/3}) one can obtain the spectra of certain XXZ quantum chains with diagonal and non-diagonal boundary conditions. Similar observations are made for Delta=0 (q=e^{pi i/2}). In the finite-size scaling limit the relations among the various spectra are the result of identities satisfied by known character functions. For the finite chains the origin of the remarkable spectral identities can be found in the representation theory of one and two boundaries Temperley-Lieb algebras at exceptional points. Inspired by these observations we have discovered other spectral identities between chains with different boundary conditions. |
1311.4589 | Mauricio Valenzuela | Nicolas Boulanger, Per Sundell and Mauricio Valenzuela | A Higher-Spin Chern-Simons Theory of Anyons | 6 pages, based on talk given by M. V. at "Supersymmetries and Quantum
Symmetries", Dubna, July 29 - August 3, 2013 with proceedings to appear in
Physics of Particles and Nuclei | null | 10.1134/S1547477114070048 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose Chern-Simons models of fractional-spin fields interacting with
ordinary tensorial higher-spin fields and internal color gauge fields. For
integer and half-integer values of the fractional spins, the model reduces to
finite sets of fields modulo infinite-dimensional ideals. We present the model
on-shell using Fock-space representations of the underlying deformed-oscillator
algebra.
| [
{
"created": "Mon, 18 Nov 2013 23:24:01 GMT",
"version": "v1"
}
] | 2015-06-17 | [
[
"Boulanger",
"Nicolas",
""
],
[
"Sundell",
"Per",
""
],
[
"Valenzuela",
"Mauricio",
""
]
] | We propose Chern-Simons models of fractional-spin fields interacting with ordinary tensorial higher-spin fields and internal color gauge fields. For integer and half-integer values of the fractional spins, the model reduces to finite sets of fields modulo infinite-dimensional ideals. We present the model on-shell using Fock-space representations of the underlying deformed-oscillator algebra. |
hep-th/9702002 | Park Mu In | Yong-Wan Kim, Mu-In Park, Young-Jai Park, and Sean J. Yoon | BRST Quantization of the Proca Model based on the BFT and the BFV
Formalism | 29 pages, plain Latex, To be published in Int. J. Mod. Phys. A | Int.J.Mod.Phys. A12 (1997) 4217-4239 | 10.1142/S0217751X97002309 | SOGANG-HEP 208/96 | hep-th | null | The BRST quantization of the Abelian Proca model is performed using the
Batalin-Fradkin-Tyutin and the Batalin-Fradkin-Vilkovisky formalism. First, the
BFT Hamiltonian method is applied in order to systematically convert a second
class constraint system of the model into an effectively first class one by
introducing new fields. In finding the involutive Hamiltonian we adopt a new
approach which is more simpler than the usual one. We also show that in our
model the Dirac brackets of the phase space variables in the original second
class constraint system are exactly the same as the Poisson brackets of the
corresponding modified fields in the extended phase space due to the linear
character of the constraints comparing the Dirac or Faddeev-Jackiw formalisms.
Then, according to the BFV formalism we obtain that the desired resulting
Lagrangian preserving BRST symmetry in the standard local gauge fixing
procedure naturally includes the St\"uckelberg scalar related to the explicit
gauge symmetry breaking effect due to the presence of the mass term. We also
analyze the nonstandard nonlocal gauge fixing procedure.
| [
{
"created": "Wed, 29 Jan 1997 06:56:19 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Kim",
"Yong-Wan",
""
],
[
"Park",
"Mu-In",
""
],
[
"Park",
"Young-Jai",
""
],
[
"Yoon",
"Sean J.",
""
]
] | The BRST quantization of the Abelian Proca model is performed using the Batalin-Fradkin-Tyutin and the Batalin-Fradkin-Vilkovisky formalism. First, the BFT Hamiltonian method is applied in order to systematically convert a second class constraint system of the model into an effectively first class one by introducing new fields. In finding the involutive Hamiltonian we adopt a new approach which is more simpler than the usual one. We also show that in our model the Dirac brackets of the phase space variables in the original second class constraint system are exactly the same as the Poisson brackets of the corresponding modified fields in the extended phase space due to the linear character of the constraints comparing the Dirac or Faddeev-Jackiw formalisms. Then, according to the BFV formalism we obtain that the desired resulting Lagrangian preserving BRST symmetry in the standard local gauge fixing procedure naturally includes the St\"uckelberg scalar related to the explicit gauge symmetry breaking effect due to the presence of the mass term. We also analyze the nonstandard nonlocal gauge fixing procedure. |
1305.0693 | Nathan Berkovits | Nathan Berkovits (ICTP-SAIFR/IFT-UNESP, Sao Paulo) | Dynamical twisting and the b ghost in the pure spinor formalism | 12 pages harvmac | null | 10.1007/JHEP06(2013)091 | ICTP-SAIFR/2013-006 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | After adding an RNS-like fermionic vector \psi^m to the pure spinor
formalism, the non-minimal b ghost takes a simple form similar to the pure
spinor BRST operator. The N=2 superconformal field theory generated by the b
ghost and the BRST current can be interpreted as a "dynamical twisting" of the
RNS formalism where the choice of which spin half \psi^m variables are twisted
into spin 0 and spin 1 variables is determined by the pure spinor variables
that parameterize the coset SO(10)/U(5).
| [
{
"created": "Fri, 3 May 2013 13:08:59 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Berkovits",
"Nathan",
"",
"ICTP-SAIFR/IFT-UNESP, Sao Paulo"
]
] | After adding an RNS-like fermionic vector \psi^m to the pure spinor formalism, the non-minimal b ghost takes a simple form similar to the pure spinor BRST operator. The N=2 superconformal field theory generated by the b ghost and the BRST current can be interpreted as a "dynamical twisting" of the RNS formalism where the choice of which spin half \psi^m variables are twisted into spin 0 and spin 1 variables is determined by the pure spinor variables that parameterize the coset SO(10)/U(5). |
hep-th/0010135 | Francesco Toppan | A. Pashnev (JINR), F. Toppan (CBPF) | On the Classification of N-extended Supersymmetric Quantum Mechanical
Systems | 15 pages, LaTex | J.Math.Phys. 42 (2001) 5257-5271 | 10.1063/1.1409349 | JINR-E2-2000-193, CBPF-NF-029/00 | hep-th | null | In this paper some properties of the irreducible multiplets of representation
for the N = (p, q) - extended supersymmetry in one dimension are discussed.
Essentially two results are here presented. At first a peculiar property of the
one dimension is exhibited, namely that any multiplet containing 2d (d bosonic
and d fermionic) particles in M different spin states, is equivalent to a (d,d)
multiplet of just 2 spin states (all bosons and all fermions being grouped in
the same spin). Later, it is shown that the classification of all multiplets of
this kind carrying an irreducible representation of the N - extended
supersymmetry is in one-to-one correspondence with the classification of
real-valued Clifford Gamma-matrices of Weyl type. In particular, p+q is mapped
into D, the space-time dimensionality, while 2d is determined to be the
dimensionality of the corresponding Gamma-matrices. The implications of these
results to the theory of spinning particles are analyzed.
| [
{
"created": "Tue, 17 Oct 2000 12:27:26 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Pashnev",
"A.",
"",
"JINR"
],
[
"Toppan",
"F.",
"",
"CBPF"
]
] | In this paper some properties of the irreducible multiplets of representation for the N = (p, q) - extended supersymmetry in one dimension are discussed. Essentially two results are here presented. At first a peculiar property of the one dimension is exhibited, namely that any multiplet containing 2d (d bosonic and d fermionic) particles in M different spin states, is equivalent to a (d,d) multiplet of just 2 spin states (all bosons and all fermions being grouped in the same spin). Later, it is shown that the classification of all multiplets of this kind carrying an irreducible representation of the N - extended supersymmetry is in one-to-one correspondence with the classification of real-valued Clifford Gamma-matrices of Weyl type. In particular, p+q is mapped into D, the space-time dimensionality, while 2d is determined to be the dimensionality of the corresponding Gamma-matrices. The implications of these results to the theory of spinning particles are analyzed. |
1310.8514 | Doron Gepner R | Doron Gepner and Herve Partouche | On The Real Part of a Conformal Field Theory | 9 pages | null | null | CPHT-RR095 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Every conformal field theory has the symmetry of taking each field to its
adjoint. We consider here the quotient (orbifold) conformal field theory
obtained by twisting with respect to this symmetry. A general method for
computing such quotients is developed using the coulomb gas representation.
Examples of parafermions, $SU(2)$ current algebra and the $N=2$ minimal models
are described explicitly. The partition functions and the dimensions of the
disordered fields are given. This result is a tool for finding new theories.
| [
{
"created": "Thu, 31 Oct 2013 14:21:12 GMT",
"version": "v1"
}
] | 2013-11-01 | [
[
"Gepner",
"Doron",
""
],
[
"Partouche",
"Herve",
""
]
] | Every conformal field theory has the symmetry of taking each field to its adjoint. We consider here the quotient (orbifold) conformal field theory obtained by twisting with respect to this symmetry. A general method for computing such quotients is developed using the coulomb gas representation. Examples of parafermions, $SU(2)$ current algebra and the $N=2$ minimal models are described explicitly. The partition functions and the dimensions of the disordered fields are given. This result is a tool for finding new theories. |
2001.08738 | Hadi Parsian | Hadi Parsian, He Feng | A Mathematica code for calculating massless spectrum of (0,2)
Landau-Ginzburg orbifold | A Mathematica notebook file has been attached to the submission | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this short paper, we try to explain how to use our program which has been
written in Wolfram Mathematica to get the massless spectrum of any
Landau-Ginzburg orbifold. The technique has been developed by Witten-Kachru
theoretically, but calculating it for an explicit Landau-Ginzburg model is
exhausting and in general, beyond human ability to calculate using pen and
paper.
| [
{
"created": "Thu, 23 Jan 2020 18:59:30 GMT",
"version": "v1"
}
] | 2020-01-24 | [
[
"Parsian",
"Hadi",
""
],
[
"Feng",
"He",
""
]
] | In this short paper, we try to explain how to use our program which has been written in Wolfram Mathematica to get the massless spectrum of any Landau-Ginzburg orbifold. The technique has been developed by Witten-Kachru theoretically, but calculating it for an explicit Landau-Ginzburg model is exhausting and in general, beyond human ability to calculate using pen and paper. |
2407.11476 | Oliver Schlotterer | Eric D'Hoker, Oliver Schlotterer | Fay identities for polylogarithms on higher-genus Riemann surfaces | 86 + 45 pages | null | null | UUITP--17/24 | hep-th hep-ph math.AG math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A recent construction of polylogarithms on Riemann surfaces of arbitrary
genus in arXiv:2306.08644 is based on a flat connection assembled from
single-valued non-holomorphic integration kernels that depend on two points on
the Riemann surface. In this work, we construct and prove infinite families of
bilinear relations among these integration kernels that are necessary for the
closure of the space of higher-genus polylogarithms under integration over the
points on the surface. Our bilinear relations generalize the Fay identities
among the genus-one Kronecker-Eisenstein kernels to arbitrary genus. The
multiple-valued meromorphic kernels in the flat connection of Enriquez are
conjectured to obey higher-genus Fay identities of exactly the same form as
their single-valued non-holomorphic counterparts. We initiate the applications
of Fay identities to derive functional relations among higher-genus
polylogarithms involving either single-valued or meromorphic integration
kernels.
| [
{
"created": "Tue, 16 Jul 2024 08:14:24 GMT",
"version": "v1"
}
] | 2024-07-17 | [
[
"D'Hoker",
"Eric",
""
],
[
"Schlotterer",
"Oliver",
""
]
] | A recent construction of polylogarithms on Riemann surfaces of arbitrary genus in arXiv:2306.08644 is based on a flat connection assembled from single-valued non-holomorphic integration kernels that depend on two points on the Riemann surface. In this work, we construct and prove infinite families of bilinear relations among these integration kernels that are necessary for the closure of the space of higher-genus polylogarithms under integration over the points on the surface. Our bilinear relations generalize the Fay identities among the genus-one Kronecker-Eisenstein kernels to arbitrary genus. The multiple-valued meromorphic kernels in the flat connection of Enriquez are conjectured to obey higher-genus Fay identities of exactly the same form as their single-valued non-holomorphic counterparts. We initiate the applications of Fay identities to derive functional relations among higher-genus polylogarithms involving either single-valued or meromorphic integration kernels. |
1204.3497 | D. J. Toms | David J. Toms | Renormalization and vacuum energy for an interacting scalar field in a
\delta-function potential | To appear in the special issue of J. Phys. A to honour J. S. Dowker | null | 10.1088/1751-8113/45/37/374026 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a self-interacting scalar field theory in the presence of a
\delta-function background potential. The role of surface interactions in
obtaining a renormalizable theory is stressed and demonstrated by a two-loop
calculation. The necessary counterterms are evaluated by adopting dimensional
regularization and the background field method. We also calculate the effective
potential for a complex scalar field in a non-simply connected spacetime in the
presence of a \delta-function potential. The effective potential is evaluated
as a function of an arbitrary phase factor associated with the choice of
boundary conditions in the non-simply connected spacetime. We obtain asymptotic
expansions of the results for both large and small \delta-function strengths,
and stress how the non-analytic nature of the small strength result vitiates
any analysis based on standard weak field perturbation theory.
| [
{
"created": "Mon, 16 Apr 2012 14:27:18 GMT",
"version": "v1"
}
] | 2015-06-04 | [
[
"Toms",
"David J.",
""
]
] | We study a self-interacting scalar field theory in the presence of a \delta-function background potential. The role of surface interactions in obtaining a renormalizable theory is stressed and demonstrated by a two-loop calculation. The necessary counterterms are evaluated by adopting dimensional regularization and the background field method. We also calculate the effective potential for a complex scalar field in a non-simply connected spacetime in the presence of a \delta-function potential. The effective potential is evaluated as a function of an arbitrary phase factor associated with the choice of boundary conditions in the non-simply connected spacetime. We obtain asymptotic expansions of the results for both large and small \delta-function strengths, and stress how the non-analytic nature of the small strength result vitiates any analysis based on standard weak field perturbation theory. |
2408.04720 | Aur\'elien Dersy | Clifford Cheung, Aur\'elien Dersy, Matthew D. Schwartz | Learning the Simplicity of Scattering Amplitudes | 25+15 pages, 9+6 figures | null | null | CALT-TH 2024-031 | hep-th cs.LG hep-ph | http://creativecommons.org/licenses/by/4.0/ | The simplification and reorganization of complex expressions lies at the core
of scientific progress, particularly in theoretical high-energy physics. This
work explores the application of machine learning to a particular facet of this
challenge: the task of simplifying scattering amplitudes expressed in terms of
spinor-helicity variables. We demonstrate that an encoder-decoder transformer
architecture achieves impressive simplification capabilities for expressions
composed of handfuls of terms. Lengthier expressions are implemented in an
additional embedding network, trained using contrastive learning, which
isolates subexpressions that are more likely to simplify. The resulting
framework is capable of reducing expressions with hundreds of terms - a regular
occurrence in quantum field theory calculations - to vastly simpler equivalent
expressions. Starting from lengthy input expressions, our networks can generate
the Parke-Taylor formula for five-point gluon scattering, as well as new
compact expressions for five-point amplitudes involving scalars and gravitons.
An interactive demonstration can be found at
https://spinorhelicity.streamlit.app .
| [
{
"created": "Thu, 8 Aug 2024 18:36:43 GMT",
"version": "v1"
}
] | 2024-08-12 | [
[
"Cheung",
"Clifford",
""
],
[
"Dersy",
"Aurélien",
""
],
[
"Schwartz",
"Matthew D.",
""
]
] | The simplification and reorganization of complex expressions lies at the core of scientific progress, particularly in theoretical high-energy physics. This work explores the application of machine learning to a particular facet of this challenge: the task of simplifying scattering amplitudes expressed in terms of spinor-helicity variables. We demonstrate that an encoder-decoder transformer architecture achieves impressive simplification capabilities for expressions composed of handfuls of terms. Lengthier expressions are implemented in an additional embedding network, trained using contrastive learning, which isolates subexpressions that are more likely to simplify. The resulting framework is capable of reducing expressions with hundreds of terms - a regular occurrence in quantum field theory calculations - to vastly simpler equivalent expressions. Starting from lengthy input expressions, our networks can generate the Parke-Taylor formula for five-point gluon scattering, as well as new compact expressions for five-point amplitudes involving scalars and gravitons. An interactive demonstration can be found at https://spinorhelicity.streamlit.app . |
hep-th/0302158 | Daniel Waldram | Jerome P. Gauntlett, Dario Martelli and Daniel Waldram | Superstrings with Intrinsic Torsion | 58 pages, LaTeX; v2: New section on solutions including an example
with N=3 supersymmetry and discussion of heterotic compactifications. Details
on conventions and references added. v3: added an explicit example of
non-integrable product structure in Appendix C; some typos fixed | Phys.Rev. D69 (2004) 086002 | 10.1103/PhysRevD.69.086002 | QMUL-PH-03-01 | hep-th math.DG | null | We systematically analyse the necessary and sufficient conditions for the
preservation of supersymmetry for bosonic geometries of the form R^{1,9-d}
\times M_d, in the common NS-NS sector of type II string theory and also type
I/heterotic string theory. The results are phrased in terms of the intrinsic
torsion of G-structures and provide a comprehensive classification of static
supersymmetric backgrounds in these theories. Generalised calibrations
naturally appear since the geometries always admit NS or type I/heterotic
fivebranes wrapping calibrated cycles. Some new solutions are presented. In
particular we find d=6 examples with a fibred structure which preserve N=1,2,3
supersymmetry in type II and include compact type I/heterotic geometries.
| [
{
"created": "Wed, 19 Feb 2003 20:56:11 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Mar 2003 18:26:43 GMT",
"version": "v2"
},
{
"created": "Wed, 11 Jun 2003 17:53:49 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Gauntlett",
"Jerome P.",
""
],
[
"Martelli",
"Dario",
""
],
[
"Waldram",
"Daniel",
""
]
] | We systematically analyse the necessary and sufficient conditions for the preservation of supersymmetry for bosonic geometries of the form R^{1,9-d} \times M_d, in the common NS-NS sector of type II string theory and also type I/heterotic string theory. The results are phrased in terms of the intrinsic torsion of G-structures and provide a comprehensive classification of static supersymmetric backgrounds in these theories. Generalised calibrations naturally appear since the geometries always admit NS or type I/heterotic fivebranes wrapping calibrated cycles. Some new solutions are presented. In particular we find d=6 examples with a fibred structure which preserve N=1,2,3 supersymmetry in type II and include compact type I/heterotic geometries. |
1703.08927 | Mao Zeng | Zvi Bern, Michael Enciso, Julio Parra-Martinez, Mao Zeng | Manifesting enhanced cancellations in supergravity: integrands versus
integrals | 28 pages, 5 figures | JHEP 05 (2017) 137 | 10.1007/JHEP05(2017)137 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Examples of "enhanced ultraviolet cancellations" with no known
standard-symmetry explanation have been found in a variety of supergravity
theories. By examining one- and two-loop examples in four- and five-dimensional
half-maximal supergravity, we argue that enhanced cancellations in general
cannot be exhibited prior to integration. In light of this, we explore
reorganizations of integrands into parts that are manifestly finite and parts
that have poor power counting but integrate to zero due to integral identities.
At two loops we find that in the large loop-momentum limit the required
integral identities follow from Lorentz and SL(2) relabeling symmetry. We carry
out a nontrivial check at four loops showing that the identities generated in
this way are a complete set. We propose that at $L$ loops the combination of
Lorentz and SL($L$) symmetry is sufficient for displaying enhanced
cancellations when they happen, whenever the theory is known to be ultraviolet
finite up to $(L-1)$ loops.
| [
{
"created": "Mon, 27 Mar 2017 04:40:23 GMT",
"version": "v1"
}
] | 2017-08-25 | [
[
"Bern",
"Zvi",
""
],
[
"Enciso",
"Michael",
""
],
[
"Parra-Martinez",
"Julio",
""
],
[
"Zeng",
"Mao",
""
]
] | Examples of "enhanced ultraviolet cancellations" with no known standard-symmetry explanation have been found in a variety of supergravity theories. By examining one- and two-loop examples in four- and five-dimensional half-maximal supergravity, we argue that enhanced cancellations in general cannot be exhibited prior to integration. In light of this, we explore reorganizations of integrands into parts that are manifestly finite and parts that have poor power counting but integrate to zero due to integral identities. At two loops we find that in the large loop-momentum limit the required integral identities follow from Lorentz and SL(2) relabeling symmetry. We carry out a nontrivial check at four loops showing that the identities generated in this way are a complete set. We propose that at $L$ loops the combination of Lorentz and SL($L$) symmetry is sufficient for displaying enhanced cancellations when they happen, whenever the theory is known to be ultraviolet finite up to $(L-1)$ loops. |
1503.07853 | Thomas Bachlechner | Thomas C. Bachlechner, Cody Long, Liam McAllister | Planckian Axions and the Weak Gravity Conjecture | 20 pages, 2 figures | JHEP 1601 (2016) 091 | 10.1007/JHEP01(2016)091 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Several recent works have claimed that the Weak Gravity Conjecture (WGC)
excludes super-Planckian displacements of axion fields, and hence large-field
axion inflation, in the absence of monodromy. We argue that in theories with
$N\gg1$ axions, super-Planckian axion diameters $\cal{D}$ are readily allowed
by the WGC. We clarify the nontrivial relationship between the kinetic matrix
$K$ --- unambiguously defined by its form in a Minkowski-reduced basis --- and
the diameter of the axion fundamental domain, emphasizing that in general the
diameter is not solely determined by the eigenvalues $f_1^2 \le ... \le f_N^2$
of $K$: the orientations of the eigenvectors with respect to the
identifications imposed by instantons must be incorporated. In particular, even
if one were to impose the condition $f_N<M_{pl}$, this would imply neither
${\cal D}<M_{pl}$ nor ${\cal D}<\sqrt{N}M_{pl}$. We then estimate the actions
of instantons that fulfill the WGC. The leading instanton action is bounded
from below by $S \ge {\cal S} M_{pl}/f_N$, with ${\cal S}$ a fixed constant,
but in the universal limit $S\gtrsim {\cal S} \sqrt{N}M_{pl}/f_N$. Thus, having
$f_N>M_{pl}$ does not immediately imply the existence of unsuppressed higher
harmonic contributions to the potential. Finally, we argue that in effective
axion-gravity theories, the zero-form version of the WGC can be satisfied by
gravitational instantons that make negligible contributions to the potential.
| [
{
"created": "Thu, 26 Mar 2015 19:58:40 GMT",
"version": "v1"
}
] | 2016-09-01 | [
[
"Bachlechner",
"Thomas C.",
""
],
[
"Long",
"Cody",
""
],
[
"McAllister",
"Liam",
""
]
] | Several recent works have claimed that the Weak Gravity Conjecture (WGC) excludes super-Planckian displacements of axion fields, and hence large-field axion inflation, in the absence of monodromy. We argue that in theories with $N\gg1$ axions, super-Planckian axion diameters $\cal{D}$ are readily allowed by the WGC. We clarify the nontrivial relationship between the kinetic matrix $K$ --- unambiguously defined by its form in a Minkowski-reduced basis --- and the diameter of the axion fundamental domain, emphasizing that in general the diameter is not solely determined by the eigenvalues $f_1^2 \le ... \le f_N^2$ of $K$: the orientations of the eigenvectors with respect to the identifications imposed by instantons must be incorporated. In particular, even if one were to impose the condition $f_N<M_{pl}$, this would imply neither ${\cal D}<M_{pl}$ nor ${\cal D}<\sqrt{N}M_{pl}$. We then estimate the actions of instantons that fulfill the WGC. The leading instanton action is bounded from below by $S \ge {\cal S} M_{pl}/f_N$, with ${\cal S}$ a fixed constant, but in the universal limit $S\gtrsim {\cal S} \sqrt{N}M_{pl}/f_N$. Thus, having $f_N>M_{pl}$ does not immediately imply the existence of unsuppressed higher harmonic contributions to the potential. Finally, we argue that in effective axion-gravity theories, the zero-form version of the WGC can be satisfied by gravitational instantons that make negligible contributions to the potential. |
hep-th/9405027 | Richard MacKenzie | D. Caenepeel and R. MacKenzie | Parity violation, anyon scattering and the mean field approximation | 17 pages plus 3 encoded/compressed post-script figures,
UdeM-LPN-TH-94-188 | Phys.Rev.D50:5418-5424,1994 | 10.1103/PhysRevD.50.5418 | null | hep-th | null | Some general features of the scattering of boson-based anyons with an added
non-statistical interaction are discussed. Periodicity requirements of the
phase shifts are derived, and used to illustrate the danger inherent in
separating these phase shifts into the well-known pure Aharanov-Bohm phase
shifts, and an additional set which arise due to the interaction. It is proven
that the added phase shifts, although due to the non-statistical interaction,
necessarily change as the statistical parameter is varied, keeping the
interaction fixed. A hard-disk interaction provides a concrete illustration of
these general ideas. In the latter part of the paper, scattering with an
additional hard-disk interaction is studied in detail, with an eye towards
providing a criterion for the validity of the mean-field approximation for
anyons, which is the first step in virtually any treatment of this system. We
find, consistent with previous work, that the approximation is justified if the
statistical interaction is weak, and that it must be more weak for boson-based
than for fermion-based anyons.
| [
{
"created": "Wed, 4 May 1994 19:05:13 GMT",
"version": "v1"
}
] | 2011-08-11 | [
[
"Caenepeel",
"D.",
""
],
[
"MacKenzie",
"R.",
""
]
] | Some general features of the scattering of boson-based anyons with an added non-statistical interaction are discussed. Periodicity requirements of the phase shifts are derived, and used to illustrate the danger inherent in separating these phase shifts into the well-known pure Aharanov-Bohm phase shifts, and an additional set which arise due to the interaction. It is proven that the added phase shifts, although due to the non-statistical interaction, necessarily change as the statistical parameter is varied, keeping the interaction fixed. A hard-disk interaction provides a concrete illustration of these general ideas. In the latter part of the paper, scattering with an additional hard-disk interaction is studied in detail, with an eye towards providing a criterion for the validity of the mean-field approximation for anyons, which is the first step in virtually any treatment of this system. We find, consistent with previous work, that the approximation is justified if the statistical interaction is weak, and that it must be more weak for boson-based than for fermion-based anyons. |
hep-th/0409223 | Andrey Katz | Andrey Katz and Yael Shadmi | Gauge Theories in $AdS_5$ and Fine-Lattice Deconstruction | 17 pages, 1 figure, typos in listing version of abstract corrected | JHEP0411:060,2004 | 10.1088/1126-6708/2004/11/060 | null | hep-th | null | The logarithmic energy dependence of gauge couplings in AdS_5 emerges almost
automatically when the theory is deconstructed on a coarse lattice. Here we
study the theory away from the coarse-lattice limit. While we cannot
analytically calculate individual KK masses for a fine lattice, we can
calculate the product of all non-zero masses. This allows us to write down the
gauge coupling at low energies for any lattice-spacing and curvature. As
expected, the leading log behaviour is corrected by power-law contributions,
suppressed by the curvature. We then turn to intermediate energies, and discuss
the gauge coupling and the gauge boson profile in perturbation theory around
the coarse-lattice limit.
| [
{
"created": "Wed, 22 Sep 2004 14:49:38 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Sep 2004 15:00:49 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Katz",
"Andrey",
""
],
[
"Shadmi",
"Yael",
""
]
] | The logarithmic energy dependence of gauge couplings in AdS_5 emerges almost automatically when the theory is deconstructed on a coarse lattice. Here we study the theory away from the coarse-lattice limit. While we cannot analytically calculate individual KK masses for a fine lattice, we can calculate the product of all non-zero masses. This allows us to write down the gauge coupling at low energies for any lattice-spacing and curvature. As expected, the leading log behaviour is corrected by power-law contributions, suppressed by the curvature. We then turn to intermediate energies, and discuss the gauge coupling and the gauge boson profile in perturbation theory around the coarse-lattice limit. |
0801.2808 | Hongbo Cheng | Hongbo Cheng, Yunqi Liu | The circular loop equation of a cosmic string with time-varying tension | 8 pages, 3 figures. accepted by Modern Physics Letters A | Mod.Phys.Lett.A23:3023-3030,2008 | 10.1142/S0217732308026340 | null | hep-th | null | The equation of circular loops of cosmic string with time-dependent tension
is studied in the Minkowski spacetime and Robertson-Walker universe. We find
that, in the case where the tension depends on some power of the cosmic time,
cosmic string loops with time-varying tension should not collapse to form a
black hole if the power is lower than a critical value.
| [
{
"created": "Fri, 18 Jan 2008 03:37:20 GMT",
"version": "v1"
}
] | 2008-12-25 | [
[
"Cheng",
"Hongbo",
""
],
[
"Liu",
"Yunqi",
""
]
] | The equation of circular loops of cosmic string with time-dependent tension is studied in the Minkowski spacetime and Robertson-Walker universe. We find that, in the case where the tension depends on some power of the cosmic time, cosmic string loops with time-varying tension should not collapse to form a black hole if the power is lower than a critical value. |
hep-th/0308084 | J. M. C. Malbouisson | C. A. Almeida, D. Bazeia, L. Losano, and J. M. C. Malbouisson | New soluble nonlinear models for scalar fields | 12 pages, 3 figures, Eq.(25) corrected, Fig.3 changed, comments added | null | null | null | hep-th hep-ph nlin.SI | null | We extend a deformation prescription recently introduced and present some new
soluble nonlinear problems for kinks and lumps. In particular, we show how to
generate models which present the basic ingredients needed to give rise to
"dimension bubbles," having different macroscopic space dimensions on the
interior and the exterior of the bubble surface. Also, we show how to deform a
model possessing lumplike solutions, relevant to the discussion of tachyonic
excitations, to get a new one having topological solutions.
| [
{
"created": "Wed, 13 Aug 2003 16:33:25 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Sep 2003 17:26:32 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Almeida",
"C. A.",
""
],
[
"Bazeia",
"D.",
""
],
[
"Losano",
"L.",
""
],
[
"Malbouisson",
"J. M. C.",
""
]
] | We extend a deformation prescription recently introduced and present some new soluble nonlinear problems for kinks and lumps. In particular, we show how to generate models which present the basic ingredients needed to give rise to "dimension bubbles," having different macroscopic space dimensions on the interior and the exterior of the bubble surface. Also, we show how to deform a model possessing lumplike solutions, relevant to the discussion of tachyonic excitations, to get a new one having topological solutions. |
hep-th/0605215 | Vasiliy Neznamov P. | V.P. Neznamov | Foldy-Wouthuysen Transformation with Dirac Matrices in Chiral
Representation | 10 pages, 2 figures | null | null | null | hep-th | null | The paper offers an expression of the general Foldy-Wouthuysen transformation
in the chiral representation of Dirac matrices and in the presence of boson
fields interacting with fermion field.
| [
{
"created": "Mon, 22 May 2006 06:35:37 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Dec 2006 06:28:44 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Neznamov",
"V. P.",
""
]
] | The paper offers an expression of the general Foldy-Wouthuysen transformation in the chiral representation of Dirac matrices and in the presence of boson fields interacting with fermion field. |
2408.01030 | Naoki Sasakura | Swastik Majumder, Naoki Sasakura | Three cases of complex eigenvalue/vector distributions of symmetric
order-three random tensors | 38 pages, 7 figures | null | null | YITP-24-83 | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | Random tensor models have applications in a variety of fields, such as
quantum gravity, quantum information theory, mathematics of modern
technologies, etc., and studying their statistical properties, e.g., tensor
eigenvalue/vector distributions, are interesting and useful. Recently some
tensor eigenvalue/vector distributions have been computed by expressing them as
partition functions of zero-dimensional quantum field theories. In this paper,
using the method, we compute three cases of complex eigenvalue/vector
distributions of symmetric order-three random tensors, where the three cases
can be characterized by the Lie-group invariances, $O(N,\mathbb{R})$,
$O(N,\mathbb{C})$, and $U(N,\mathbb{C})$, respectively. Exact closed-form
expressions of the distributions are obtained by computing partition functions
of four-fermi theories, where the last case is of the "signed" distribution
which counts the distribution with a sign factor coming from a Hessian matrix.
As an application, we compute the injective norm of the complex symmetric
order-three random tensor in the large-$N$ limit by computing the edge of the
last signed distribution, obtaining agreement with a former numerical result in
the literature.
| [
{
"created": "Fri, 2 Aug 2024 06:06:43 GMT",
"version": "v1"
}
] | 2024-08-05 | [
[
"Majumder",
"Swastik",
""
],
[
"Sasakura",
"Naoki",
""
]
] | Random tensor models have applications in a variety of fields, such as quantum gravity, quantum information theory, mathematics of modern technologies, etc., and studying their statistical properties, e.g., tensor eigenvalue/vector distributions, are interesting and useful. Recently some tensor eigenvalue/vector distributions have been computed by expressing them as partition functions of zero-dimensional quantum field theories. In this paper, using the method, we compute three cases of complex eigenvalue/vector distributions of symmetric order-three random tensors, where the three cases can be characterized by the Lie-group invariances, $O(N,\mathbb{R})$, $O(N,\mathbb{C})$, and $U(N,\mathbb{C})$, respectively. Exact closed-form expressions of the distributions are obtained by computing partition functions of four-fermi theories, where the last case is of the "signed" distribution which counts the distribution with a sign factor coming from a Hessian matrix. As an application, we compute the injective norm of the complex symmetric order-three random tensor in the large-$N$ limit by computing the edge of the last signed distribution, obtaining agreement with a former numerical result in the literature. |
2211.09138 | Jan Vysoky | Branislav Jurco, Filip Moucka, Jan Vysoky | Palatini Variation in Generalized Geometry and String Effective Actions | null | null | 10.1016/j.geomphys.2023.104909 | null | hep-th math-ph math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop the Palatini formalism within the framework of generalized
Riemannian geometry of Courant algebroids. In this context, the Palatini
variation of a generalized Einstein-Hilbert-Palatini action - formed using a
generalized metric, a Courant algebroid connection (in contrary to the ordinary
case, not necessarily a torsionless one) and a volume form - leads naturally to
a proper notion of a generalized Levi-Civita connection and low-energy
effective actions of string theory.
| [
{
"created": "Wed, 16 Nov 2022 19:00:03 GMT",
"version": "v1"
}
] | 2023-07-19 | [
[
"Jurco",
"Branislav",
""
],
[
"Moucka",
"Filip",
""
],
[
"Vysoky",
"Jan",
""
]
] | We develop the Palatini formalism within the framework of generalized Riemannian geometry of Courant algebroids. In this context, the Palatini variation of a generalized Einstein-Hilbert-Palatini action - formed using a generalized metric, a Courant algebroid connection (in contrary to the ordinary case, not necessarily a torsionless one) and a volume form - leads naturally to a proper notion of a generalized Levi-Civita connection and low-energy effective actions of string theory. |
1011.1604 | Harold Blas | H. Blas and H. L. Carrion | Noncommutative (generalized) sine-Gordon/massive Thirring
correspondence, integrability and solitons | 38 pages, 1 figure, LaTex. References added and some typos corrected | null | null | null | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Some properties of the correspondence between the non-commutative versions of
the (generalized) sine-Gordon (NCGSG$_{1,2}$) and the massive Thirring
(NCGMT$_{1,2}$) models are studied. Our method relies on the master Lagrangian
approach to deal with dual theories. The master Lagrangians turn out to be the
NC versions of the so-called affine Toda model coupled to matter fields
(NCATM$_{1,2}$), in which the Toda field $g$ belongs to certain subgroups of $
GL(3)$, and the matter fields lie in the higher grading directions of an affine
Lie algebra. Depending on the form of $g$ one arrives at two different NC
versions of the NCGSG$_{1,2}$/NCGMT$_{1,2}$ correspondence. In the
NCGSG$_{1,2}$ sectors, through consistent reduction procedures, we find NC
versions of some well-known models, such as the NC sine-Gordon (NCSG$_{1,2}$)
(Lechtenfeld et al. and Grisaru-Penati proposals, respectively), NC (bosonized)
Bukhvostov-Lipatov (NCbBL$_{1,2}$) and NC double sine-Gordon (NCDSG$_{1,2}$)
models. The NCGMT$_{1,2}$ models correspond to Moyal product extension of the
generalized massive Thirring model. The NCGMT$_{1,2}$ models posses constrained
versions with relevant Lax pair formulations, and other sub-models such as the
NC massive Thirring (NCMT$_{1,2}$), the NC Bukhvostov-Lipatov (NCBL$_{1,2}$)
and constrained versions of the last models with Lax pair formulations. We have
established that, except for the well known NCMT$_{1,2}$ zero-curvature
formulations, generalizations ($n_{F} \ge 2$, $n_F=$number of flavors) of the
massive Thirring model allow zero-curvature formulations only for constrained
versions of the models and for each one of the various constrained sub-models
defined for less than $n_F$ flavors, in the both NCGMT$_{1,2}$ and ordinary
space-time descriptions (GMT), respectively. The non-commutative solitons and
kinks of the $ GL(3)$ NCGSG$_{1,2}$ models are investigated.
| [
{
"created": "Sun, 7 Nov 2010 02:05:34 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Dec 2010 18:58:45 GMT",
"version": "v2"
}
] | 2011-01-04 | [
[
"Blas",
"H.",
""
],
[
"Carrion",
"H. L.",
""
]
] | Some properties of the correspondence between the non-commutative versions of the (generalized) sine-Gordon (NCGSG$_{1,2}$) and the massive Thirring (NCGMT$_{1,2}$) models are studied. Our method relies on the master Lagrangian approach to deal with dual theories. The master Lagrangians turn out to be the NC versions of the so-called affine Toda model coupled to matter fields (NCATM$_{1,2}$), in which the Toda field $g$ belongs to certain subgroups of $ GL(3)$, and the matter fields lie in the higher grading directions of an affine Lie algebra. Depending on the form of $g$ one arrives at two different NC versions of the NCGSG$_{1,2}$/NCGMT$_{1,2}$ correspondence. In the NCGSG$_{1,2}$ sectors, through consistent reduction procedures, we find NC versions of some well-known models, such as the NC sine-Gordon (NCSG$_{1,2}$) (Lechtenfeld et al. and Grisaru-Penati proposals, respectively), NC (bosonized) Bukhvostov-Lipatov (NCbBL$_{1,2}$) and NC double sine-Gordon (NCDSG$_{1,2}$) models. The NCGMT$_{1,2}$ models correspond to Moyal product extension of the generalized massive Thirring model. The NCGMT$_{1,2}$ models posses constrained versions with relevant Lax pair formulations, and other sub-models such as the NC massive Thirring (NCMT$_{1,2}$), the NC Bukhvostov-Lipatov (NCBL$_{1,2}$) and constrained versions of the last models with Lax pair formulations. We have established that, except for the well known NCMT$_{1,2}$ zero-curvature formulations, generalizations ($n_{F} \ge 2$, $n_F=$number of flavors) of the massive Thirring model allow zero-curvature formulations only for constrained versions of the models and for each one of the various constrained sub-models defined for less than $n_F$ flavors, in the both NCGMT$_{1,2}$ and ordinary space-time descriptions (GMT), respectively. The non-commutative solitons and kinks of the $ GL(3)$ NCGSG$_{1,2}$ models are investigated. |
1601.06360 | Aritra Banerjee | Aritra Banerjee, Sagar Biswas and Rashmi R. Nayak | D1 string dynamics in curved backgrounds with fluxes | Many clarifications added, revised version to appear in JHEP | null | 10.1007/JHEP04(2016)172 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study various rotating and oscillating D-string configurations in some
general backgrounds with fluxes. In particular, we look for solutions to the
equations of motion of various rigidly rotating D-strings in $AdS_3$ background
with mixed flux, and in the intersecting D-brane geometries. We find out
relations among various conserved charges corresponding to the breathing and
rotating D-string configurations.
| [
{
"created": "Sun, 24 Jan 2016 08:57:41 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Apr 2016 08:31:47 GMT",
"version": "v2"
}
] | 2016-05-25 | [
[
"Banerjee",
"Aritra",
""
],
[
"Biswas",
"Sagar",
""
],
[
"Nayak",
"Rashmi R.",
""
]
] | We study various rotating and oscillating D-string configurations in some general backgrounds with fluxes. In particular, we look for solutions to the equations of motion of various rigidly rotating D-strings in $AdS_3$ background with mixed flux, and in the intersecting D-brane geometries. We find out relations among various conserved charges corresponding to the breathing and rotating D-string configurations. |
hep-th/9408082 | Andreas Wisskirchen | Ralph Blumenhagen and Andreas Wisskirchen | Extension of the N=2 Virasoro algebra by two primary fields of dimension
2 and 3 | 12 pages, PlainTeX, BONN-TH-94-12 | Phys.Lett. B343 (1995) 168-180 | 10.1016/0370-2693(94)01433-D | null | hep-th | null | We explicitly construct the extension of the N=2 super Virasoro algebra by
two super primary fields of dimension two and three with vanishing u(1)-charge.
Using a super covariant formalism we obtain two different solutions both
consistent for generic values of the central charge c. The first one can be
identified with the super W_4-algebra - the symmetry algebra of the CP(3)
Kazama-Suzuki model. With the help of unitarity arguments we predict the
self-coupling constant of the field of dimension two for all super
W_n-algebras. The second solution is special in the sense that it does not have
a finite classical limit c->infinity and generic null fields appear. In the
spirit of recent results in the N=0 case it can be understood as a unifying N=2
super W-algebra for all CP(n) coset models. It does not admit any unitary
representation.
| [
{
"created": "Mon, 15 Aug 1994 07:21:25 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Blumenhagen",
"Ralph",
""
],
[
"Wisskirchen",
"Andreas",
""
]
] | We explicitly construct the extension of the N=2 super Virasoro algebra by two super primary fields of dimension two and three with vanishing u(1)-charge. Using a super covariant formalism we obtain two different solutions both consistent for generic values of the central charge c. The first one can be identified with the super W_4-algebra - the symmetry algebra of the CP(3) Kazama-Suzuki model. With the help of unitarity arguments we predict the self-coupling constant of the field of dimension two for all super W_n-algebras. The second solution is special in the sense that it does not have a finite classical limit c->infinity and generic null fields appear. In the spirit of recent results in the N=0 case it can be understood as a unifying N=2 super W-algebra for all CP(n) coset models. It does not admit any unitary representation. |
hep-th/0404161 | Roy Maartens | J.-F. Dufaux (Orsay), J. Lidsey (Queen Mary), R. Maartens
(Portsmouth), M. Sami (IUCAA) | Cosmological perturbations from braneworld inflation with a Gauss-Bonnet
term | Minor alterations to match published version | Phys.Rev. D70 (2004) 083525 | 10.1103/PhysRevD.70.083525 | null | hep-th astro-ph gr-qc | null | Braneworld inflation is a phenomenology related to string theory that
describes high-energy modifications to general relativistic inflation. The
observable universe is a braneworld embedded in 5-dimensional anti de Sitter
spacetime. Whe the 5-dimensional action is Einstein-Hilbert, we have a
Randall-Sundrum type braneworld. The amplitude of tensor and scalar
perturbations from inflation is strongly increased relative to the standard
results, although the ratio of tensor to scalar amplitudes still obeys the
standard consistency relation. If a Gauss-Bonnet term is included in the
action, as a high-energy correction motivated by string theory, we show that
there are important changes to the Randall-Sundrum case. We give an exact
analysis of the tensor perturbations. They satisfy the same wave equation and
have the same spectrum as in the Randall-Sundrum case, but the Gauss-Bonnet
change to the junction conditions leads to a modified amplitude of
gravitational waves. The amplitude is no longer monotonically increasing with
energy scale, but decreases asymptotically after an initial rise above the
standard level. Using an approximation that neglects bulk effects, we show that
the amplitude of scalar perturbations has a qualitatively similar behaviour to
the tensor amplitude. In addition, the tensor to scalar ratio breaks the
standard consistency relation.
| [
{
"created": "Wed, 21 Apr 2004 16:52:16 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Nov 2004 14:22:48 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Dufaux",
"J. -F.",
"",
"Orsay"
],
[
"Lidsey",
"J.",
"",
"Queen Mary"
],
[
"Maartens",
"R.",
"",
"Portsmouth"
],
[
"Sami",
"M.",
"",
"IUCAA"
]
] | Braneworld inflation is a phenomenology related to string theory that describes high-energy modifications to general relativistic inflation. The observable universe is a braneworld embedded in 5-dimensional anti de Sitter spacetime. Whe the 5-dimensional action is Einstein-Hilbert, we have a Randall-Sundrum type braneworld. The amplitude of tensor and scalar perturbations from inflation is strongly increased relative to the standard results, although the ratio of tensor to scalar amplitudes still obeys the standard consistency relation. If a Gauss-Bonnet term is included in the action, as a high-energy correction motivated by string theory, we show that there are important changes to the Randall-Sundrum case. We give an exact analysis of the tensor perturbations. They satisfy the same wave equation and have the same spectrum as in the Randall-Sundrum case, but the Gauss-Bonnet change to the junction conditions leads to a modified amplitude of gravitational waves. The amplitude is no longer monotonically increasing with energy scale, but decreases asymptotically after an initial rise above the standard level. Using an approximation that neglects bulk effects, we show that the amplitude of scalar perturbations has a qualitatively similar behaviour to the tensor amplitude. In addition, the tensor to scalar ratio breaks the standard consistency relation. |
hep-th/0308184 | Rajesh Gopakumar | Rajesh Gopakumar (Harish-Chandra Research Institute) | From Free Fields to $AdS$ | 35 pages, 4 figures; v2: references added | Phys.Rev. D70 (2004) 025009 | 10.1103/PhysRevD.70.025009 | null | hep-th | null | Free ${\cal N}=4$ Super Yang-Mills theory (in the large $N$ limit) is dual to
an, as yet, intractable closed string theory on $AdS_5\times S^5$. We aim to
implement open-closed string duality in this system and thereby recast the free
field correlation functions as amplitudes in $AdS$. The basic strategy is to
implement this duality directly on planar field theory correlation functions in
the worldline (or first quantised) formulation. The worldline loops (remnants
of the worldsheet holes) close to form tree diagrams. These tree diagrams are
then to be manifested as tree amplitudes in $AdS$ by a change of variables on
the worldline moduli space (i.e. Schwinger parameter space). Restricting to
twist two operators, we are able to carry through this program for two and
three point functions. However, it appears that this strategy can be
implemented for four and higher point functions as well. An analogy to
electrical networks is very useful in this regard.
| [
{
"created": "Wed, 27 Aug 2003 17:19:24 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Sep 2003 10:11:40 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Gopakumar",
"Rajesh",
"",
"Harish-Chandra Research Institute"
]
] | Free ${\cal N}=4$ Super Yang-Mills theory (in the large $N$ limit) is dual to an, as yet, intractable closed string theory on $AdS_5\times S^5$. We aim to implement open-closed string duality in this system and thereby recast the free field correlation functions as amplitudes in $AdS$. The basic strategy is to implement this duality directly on planar field theory correlation functions in the worldline (or first quantised) formulation. The worldline loops (remnants of the worldsheet holes) close to form tree diagrams. These tree diagrams are then to be manifested as tree amplitudes in $AdS$ by a change of variables on the worldline moduli space (i.e. Schwinger parameter space). Restricting to twist two operators, we are able to carry through this program for two and three point functions. However, it appears that this strategy can be implemented for four and higher point functions as well. An analogy to electrical networks is very useful in this regard. |
hep-th/0507080 | Xinkai Wu | Sumit R. Das, Stefano Giusto, Samir D. Mathur, Yogesh Srivastava,
Xinkai Wu and Chengang Zhou | Branes wrapping Black Holes | 41 pages, 2 figures;v2: references added | Nucl.Phys. B733 (2006) 297-333 | 10.1016/j.nuclphysb.2005.11.011 | UK-05-04 | hep-th | null | We examine the dynamics of extended branes, carrying lower dimensional brane
charges, wrapping black holes and black hole microstates in M and Type II
string theory. We show that they have a universal dispersion relation typical
of threshold bound states with a total energy equal to the sum of the
contributions from the charges. In near-horizon geometries of black holes,
these are BPS states, and the dispersion relation follows from supersymmetry as
well as properties of the conformal algebra. However they break all
supersymmetries of the full asymptotic geometries of black holes and
microstates. We comment on a recent proposal which uses these states to explain
black hole entropy.
| [
{
"created": "Thu, 7 Jul 2005 19:47:49 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Aug 2005 20:39:13 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Das",
"Sumit R.",
""
],
[
"Giusto",
"Stefano",
""
],
[
"Mathur",
"Samir D.",
""
],
[
"Srivastava",
"Yogesh",
""
],
[
"Wu",
"Xinkai",
""
],
[
"Zhou",
"Chengang",
""
]
] | We examine the dynamics of extended branes, carrying lower dimensional brane charges, wrapping black holes and black hole microstates in M and Type II string theory. We show that they have a universal dispersion relation typical of threshold bound states with a total energy equal to the sum of the contributions from the charges. In near-horizon geometries of black holes, these are BPS states, and the dispersion relation follows from supersymmetry as well as properties of the conformal algebra. However they break all supersymmetries of the full asymptotic geometries of black holes and microstates. We comment on a recent proposal which uses these states to explain black hole entropy. |
hep-th/0010187 | Allen Stern | G. Alexanian, A. Pinzul and A. Stern | Generalized Coherent State Approach to Star Products and Applications to
the Fuzzy Sphere | 18 pages | Nucl.Phys.B600:531-547,2001 | 10.1016/S0550-3213(00)00743-4 | null | hep-th | null | We construct a star product associated with an arbitrary two dimensional
Poisson structure using generalized coherent states on the complex plane. From
our approach one easily recovers the star product for the fuzzy torus, and also
one for the fuzzy sphere. For the latter we need to define the `fuzzy'
stereographic projection to the plane and the fuzzy sphere integration measure,
which in the commutative limit reduce to the usual formulae for the sphere.
| [
{
"created": "Mon, 23 Oct 2000 21:35:26 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Nov 2000 18:51:05 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Alexanian",
"G.",
""
],
[
"Pinzul",
"A.",
""
],
[
"Stern",
"A.",
""
]
] | We construct a star product associated with an arbitrary two dimensional Poisson structure using generalized coherent states on the complex plane. From our approach one easily recovers the star product for the fuzzy torus, and also one for the fuzzy sphere. For the latter we need to define the `fuzzy' stereographic projection to the plane and the fuzzy sphere integration measure, which in the commutative limit reduce to the usual formulae for the sphere. |
hep-th/9709036 | null | Y. Strauss, L.P. Horwitz and E. Eisenberg | Representation of Quantum Mechanical Resonances in the Lax-Phillips
Hilbert Space | Plain TeX, 26 pages. Minor revisions | J.Math.Phys. 41 (2000) 8050-8071 | 10.1063/1.1310359 | null | hep-th | null | We discuss the quantum Lax-Phillips theory of scattering and unstable
systems. In this framework, the decay of an unstable system is described by a
semigroup. The spectrum of the generator of the semigroup corresponds to the
singularities of the Lax-Phillips $S$-matrix. In the case of discrete (complex)
spectrum of the generator of the semigroup, associated with resonances, the
decay law is exactly exponential. The states corresponding to these resonances
(eigenfunctions of the generator of the semigroup) lie in the Lax-Phillips
Hilbert space, and therefore all physical properties of the resonant states can
be computed.
We show that the Lax-Phillips $S$-matrix is unitarily related to the
$S$-matrix of standard scattering theory by a unitary transformation
parametrized by the spectral variable $\sigma$ of the Lax-Phillips theory.
Analytic continuation in $\sigma$ has some of the properties of a method
developed some time ago for application to dilation analytic potentials.
We work out an illustrative example using a Lee-Friedrichs model for the
underlying dynamical system.
| [
{
"created": "Thu, 4 Sep 1997 12:09:37 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Apr 1998 10:18:19 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Strauss",
"Y.",
""
],
[
"Horwitz",
"L. P.",
""
],
[
"Eisenberg",
"E.",
""
]
] | We discuss the quantum Lax-Phillips theory of scattering and unstable systems. In this framework, the decay of an unstable system is described by a semigroup. The spectrum of the generator of the semigroup corresponds to the singularities of the Lax-Phillips $S$-matrix. In the case of discrete (complex) spectrum of the generator of the semigroup, associated with resonances, the decay law is exactly exponential. The states corresponding to these resonances (eigenfunctions of the generator of the semigroup) lie in the Lax-Phillips Hilbert space, and therefore all physical properties of the resonant states can be computed. We show that the Lax-Phillips $S$-matrix is unitarily related to the $S$-matrix of standard scattering theory by a unitary transformation parametrized by the spectral variable $\sigma$ of the Lax-Phillips theory. Analytic continuation in $\sigma$ has some of the properties of a method developed some time ago for application to dilation analytic potentials. We work out an illustrative example using a Lee-Friedrichs model for the underlying dynamical system. |
2112.09119 | Jo\~ao Melo | Jo\~ao F. Melo | The Propagator Matrix Reloaded | 20+5 pages, 2 figures, added note in introduction addressing recent
comments | SciPost Phys. Core 6, 019 (2023) | 10.21468/SciPostPhysCore.6.1.019 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The standard way to perform calculations for quantum field theories involves
the S-matrix and the assumption that the theory is free at past and future
infinity. However, this assumption may not hold for field theories in
non-trivial backgrounds such as curved spacetimes or finite temperature. In
fact, even in the simple case of finite temperature Minkowski spacetime, there
are a lot of misconceptions and confusion in the literature surrounding how to
correctly take interactions into account when setting up the initial
conditions.
The objective of this work is to clear up these misconceptions and provide a
clean and simple derivation of a formalism which includes interactions in the
initial conditions and assesses whether or not it is legitimate to ignore them.
The ultimate conclusion is that we cannot ignore them: quantum field theories
at finite temperature are not free in the infinite past.
| [
{
"created": "Thu, 16 Dec 2021 18:57:51 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Jan 2022 15:43:36 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Mar 2023 17:12:17 GMT",
"version": "v3"
},
{
"created": "Tue, 16 May 2023 13:36:44 GMT",
"version": "v4"
}
] | 2023-05-17 | [
[
"Melo",
"João F.",
""
]
] | The standard way to perform calculations for quantum field theories involves the S-matrix and the assumption that the theory is free at past and future infinity. However, this assumption may not hold for field theories in non-trivial backgrounds such as curved spacetimes or finite temperature. In fact, even in the simple case of finite temperature Minkowski spacetime, there are a lot of misconceptions and confusion in the literature surrounding how to correctly take interactions into account when setting up the initial conditions. The objective of this work is to clear up these misconceptions and provide a clean and simple derivation of a formalism which includes interactions in the initial conditions and assesses whether or not it is legitimate to ignore them. The ultimate conclusion is that we cannot ignore them: quantum field theories at finite temperature are not free in the infinite past. |
hep-th/0104024 | Andrea Pelissetto | Andrea Pelissetto, Paolo Rossi and Ettore Vicari | Large-n Critical Behavior of O(n)xO(m) Spin Models | 29 pages, a few refs added, Nucl. Phys. B in press | Nucl.Phys. B607 (2001) 605-634 | 10.1016/S0550-3213(01)00223-1 | null | hep-th cond-mat hep-lat | null | We consider the Landau-Ginzburg-Wilson Hamiltonian with O(n)x O(m) symmetry
and compute the critical exponents at all fixed points to O(n^{-2}) and to
O(\epsilon^3) in a \epsilon=4-d expansion. We also consider the corresponding
non-linear sigma model and determine the fixed points and the critical
exponents to O(\tilde{\epsilon}^2) in the \tilde{\epsilon}=d-2 expansion. Using
these results, we draw quite general conclusions on the fixed-point structure
of models with O(n)xO(m) symmetry for n large and all 2 < d < 4.
| [
{
"created": "Tue, 3 Apr 2001 12:26:39 GMT",
"version": "v1"
},
{
"created": "Tue, 8 May 2001 09:50:54 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Pelissetto",
"Andrea",
""
],
[
"Rossi",
"Paolo",
""
],
[
"Vicari",
"Ettore",
""
]
] | We consider the Landau-Ginzburg-Wilson Hamiltonian with O(n)x O(m) symmetry and compute the critical exponents at all fixed points to O(n^{-2}) and to O(\epsilon^3) in a \epsilon=4-d expansion. We also consider the corresponding non-linear sigma model and determine the fixed points and the critical exponents to O(\tilde{\epsilon}^2) in the \tilde{\epsilon}=d-2 expansion. Using these results, we draw quite general conclusions on the fixed-point structure of models with O(n)xO(m) symmetry for n large and all 2 < d < 4. |
2202.00682 | Miguel Montero | Fien Apers, Miguel Montero, Thomas Van Riet, Timm Wrase | Comments on classical AdS flux vacua with scale separation | 22 pages, 1 Figure | null | 10.1007/JHEP05(2022)167 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | AdS flux vacua with a parametric separation between the AdS and KK scales
have been conjectured to be in the Swampland. We study flux compactifications
of massive IIA supergravity with O6 planes which are claimed to allow
moduli-stabilised and scale separated AdS$_3$ and AdS$_4$ vacua at arbitrary
weak coupling and large volume. A recent refinement of the AdS Distance
Conjecture is shown to be inconsistent with the class of AdS$_3$ vacua because
the requisite discrete higher form symmetries are absent. We further perform a
tree-level study of non-perturbative decays for the nonsupersymmetric versions
of the AdS$_3$ solutions, and find that the vacua are stable within this
approximation. Finally, we provide an initial investigation of the would-be
dual CFT$_2$'s and CFT$_3$'s. We study roughly a dozen different models and
find for all AdS$_4$ DGKT-type vacua that the dual operators to the lightest
scalars have integer dimensions. For the putative CFT$_2$ dual theories of the
AdS$_3$ vacua we find no integer dimensions for the operators.
| [
{
"created": "Tue, 1 Feb 2022 19:00:00 GMT",
"version": "v1"
}
] | 2022-06-08 | [
[
"Apers",
"Fien",
""
],
[
"Montero",
"Miguel",
""
],
[
"Van Riet",
"Thomas",
""
],
[
"Wrase",
"Timm",
""
]
] | AdS flux vacua with a parametric separation between the AdS and KK scales have been conjectured to be in the Swampland. We study flux compactifications of massive IIA supergravity with O6 planes which are claimed to allow moduli-stabilised and scale separated AdS$_3$ and AdS$_4$ vacua at arbitrary weak coupling and large volume. A recent refinement of the AdS Distance Conjecture is shown to be inconsistent with the class of AdS$_3$ vacua because the requisite discrete higher form symmetries are absent. We further perform a tree-level study of non-perturbative decays for the nonsupersymmetric versions of the AdS$_3$ solutions, and find that the vacua are stable within this approximation. Finally, we provide an initial investigation of the would-be dual CFT$_2$'s and CFT$_3$'s. We study roughly a dozen different models and find for all AdS$_4$ DGKT-type vacua that the dual operators to the lightest scalars have integer dimensions. For the putative CFT$_2$ dual theories of the AdS$_3$ vacua we find no integer dimensions for the operators. |
1402.2364 | Y. M. Cho | Y. M. Cho, Franklin H. Cho, and Kyoungtae Kimm | Weyl symmetric Effective Action and Monopole Condensation in SU(3) QCD | arXiv admin note: substantial text overlap with arXiv:1206.6936
Withdraw for the new and updated file | null | null | null | hep-th nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how to generalize the previous result of the monopole condensation in
SU(2) QCD to SU(3) QCD. We present the gauge independent Weyl symmetric Abelian
decomposition of the SU(3) QCD which decomposes the gluons to the color neutral
neurons and the colored chromons. The decomposition allows us to separate the
gauge invariant and parity conserving monopole background gauge independently,
and reduces the non-Abelian gauge symmetry to a discrete color reflection
symmetry which is easier to handle. With this we obtain the infra-red finite
and gauge invariant integral expression of the one-loop effective action which
is Weyl symmetric in three SU(2) subgroups. Integrating it gauge invariantly
imposing the color reflection invariance we obtain the SU(3) QCD effective
potential which generates the stable monopole condensation and the mass gap. We
discuss the physical implications of our result.
| [
{
"created": "Tue, 11 Feb 2014 04:08:38 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Mar 2018 23:04:48 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Nov 2018 01:34:17 GMT",
"version": "v3"
}
] | 2018-11-12 | [
[
"Cho",
"Y. M.",
""
],
[
"Cho",
"Franklin H.",
""
],
[
"Kimm",
"Kyoungtae",
""
]
] | We show how to generalize the previous result of the monopole condensation in SU(2) QCD to SU(3) QCD. We present the gauge independent Weyl symmetric Abelian decomposition of the SU(3) QCD which decomposes the gluons to the color neutral neurons and the colored chromons. The decomposition allows us to separate the gauge invariant and parity conserving monopole background gauge independently, and reduces the non-Abelian gauge symmetry to a discrete color reflection symmetry which is easier to handle. With this we obtain the infra-red finite and gauge invariant integral expression of the one-loop effective action which is Weyl symmetric in three SU(2) subgroups. Integrating it gauge invariantly imposing the color reflection invariance we obtain the SU(3) QCD effective potential which generates the stable monopole condensation and the mass gap. We discuss the physical implications of our result. |
hep-th/0203232 | Skuli Gudmundsson | Skuli Gudmundsson, Charles B. Thorn | One Loop Calculations in Gauge Theories Regulated on an $x^+$-$p^+$
Lattice | 26 pages, 36 figures | Phys.Rev. D66 (2002) 076001 | 10.1103/PhysRevD.66.076001 | UFIFT-HEP-02-12 | hep-th | null | In earlier work, the planar diagrams of $SU(N_c)$ gauge theory have been
regulated on the light-cone by a scheme involving both discrete $p^+$ and
$\tau=ix^+$. The transverse coordinates remain continuous, but even so all
diagrams are rendered finite by this procedure. In this scheme quartic
interactions are represented as two cubics mediated by short lived fictitious
particles whose detailed behavior could be adjusted to retain properties of the
continuum theory, at least at one loop. Here we use this setup to calculate the
one loop three gauge boson triangle diagram, and so complete the calculation of
diagrams renormalizing the coupling to one loop. In particular, we find that
the cubic vertex is correctly renormalized once the couplings to the fictitious
particles are chosen to keep the gauge bosons massless.
| [
{
"created": "Tue, 26 Mar 2002 18:54:30 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Gudmundsson",
"Skuli",
""
],
[
"Thorn",
"Charles B.",
""
]
] | In earlier work, the planar diagrams of $SU(N_c)$ gauge theory have been regulated on the light-cone by a scheme involving both discrete $p^+$ and $\tau=ix^+$. The transverse coordinates remain continuous, but even so all diagrams are rendered finite by this procedure. In this scheme quartic interactions are represented as two cubics mediated by short lived fictitious particles whose detailed behavior could be adjusted to retain properties of the continuum theory, at least at one loop. Here we use this setup to calculate the one loop three gauge boson triangle diagram, and so complete the calculation of diagrams renormalizing the coupling to one loop. In particular, we find that the cubic vertex is correctly renormalized once the couplings to the fictitious particles are chosen to keep the gauge bosons massless. |
hep-th/0009075 | Alexandre Grezzi de Miranda Schmidt | Alfredo T. Suzuki, Alexandre G. M. Schmidt | First results for the Coulomb gauge integrals using NDIM | 8 pages, Revtex | Eur.Phys.J.C19:391-396,2001 | 10.1007/s100520100581 | null | hep-th | null | The Coulomb gauge has at least two advantadges over other gauge choices in
that bound states between quarks and studies of confinement are easier to
understand in this gauge. However, perturbative calculations, namely Feynman
loop integrations are not well-defined (there are the so-called energy
integrals) even within the context of dimensional regularization. Leibbrandt
and Williams proposed a possible cure to such a problem by splitting the
space-time dimension into $D=\omega+\rho$, i.e., introducing a specific one
parameter $\rho$ to regulate the energy integrals. The aim of our work is to
apply negative dimensional integration method (NDIM) to the Coulomb gauge
integrals using the recipe of split-dimension parameters and present complete
results -- finite and divergent parts -- to the one and two-loop level for
arbitrary exponents of propagators and dimension.
| [
{
"created": "Mon, 11 Sep 2000 13:59:51 GMT",
"version": "v1"
}
] | 2009-01-07 | [
[
"Suzuki",
"Alfredo T.",
""
],
[
"Schmidt",
"Alexandre G. M.",
""
]
] | The Coulomb gauge has at least two advantadges over other gauge choices in that bound states between quarks and studies of confinement are easier to understand in this gauge. However, perturbative calculations, namely Feynman loop integrations are not well-defined (there are the so-called energy integrals) even within the context of dimensional regularization. Leibbrandt and Williams proposed a possible cure to such a problem by splitting the space-time dimension into $D=\omega+\rho$, i.e., introducing a specific one parameter $\rho$ to regulate the energy integrals. The aim of our work is to apply negative dimensional integration method (NDIM) to the Coulomb gauge integrals using the recipe of split-dimension parameters and present complete results -- finite and divergent parts -- to the one and two-loop level for arbitrary exponents of propagators and dimension. |
hep-th/0407155 | Satoru Odake | S. Odake and R. Sasaki | Equilibria of `Discrete' Integrable Systems and Deformations of
Classical Orthogonal Polynomials | 45 pages. A few typos in section 6 are corrected | J.Phys. A37 (2004) 11841-11876 | 10.1088/0305-4470/37/49/006 | DPSU-04-1, YITP-04-36 | hep-th math.QA | null | The Ruijsenaars-Schneider systems are `discrete' version of the
Calogero-Moser (C-M) systems in the sense that the momentum operator p appears
in the Hamiltonians as a polynomial in e^{\pm\beta' p} (\beta' is a deformation
parameter) instead of an ordinary polynomial in p in the hierarchies of C-M
systems. We determine the polynomials describing the equilibrium positions of
the rational and trigonometric Ruijsenaars-Schneider systems based on classical
root systems. These are deformation of the classical orthogonal polynomials,
the Hermite, Laguerre and Jacobi polynomials which describe the equilibrium
positions of the corresponding Calogero and Sutherland systems. The
orthogonality of the original polynomials is inherited by the deformed ones
which satisfy three-term recurrence and certain functional equations. The
latter reduce to the celebrated second order differential equations satisfied
by the classical orthogonal polynomials.
| [
{
"created": "Sun, 18 Jul 2004 09:04:11 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Jul 2004 09:18:34 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Odake",
"S.",
""
],
[
"Sasaki",
"R.",
""
]
] | The Ruijsenaars-Schneider systems are `discrete' version of the Calogero-Moser (C-M) systems in the sense that the momentum operator p appears in the Hamiltonians as a polynomial in e^{\pm\beta' p} (\beta' is a deformation parameter) instead of an ordinary polynomial in p in the hierarchies of C-M systems. We determine the polynomials describing the equilibrium positions of the rational and trigonometric Ruijsenaars-Schneider systems based on classical root systems. These are deformation of the classical orthogonal polynomials, the Hermite, Laguerre and Jacobi polynomials which describe the equilibrium positions of the corresponding Calogero and Sutherland systems. The orthogonality of the original polynomials is inherited by the deformed ones which satisfy three-term recurrence and certain functional equations. The latter reduce to the celebrated second order differential equations satisfied by the classical orthogonal polynomials. |
hep-th/9307087 | Bunji Sakita | B. Sakita | W_{\infty} Gauge Transformations and the Electromagnetic Interactions of
Electrons in the Lowest Landau Level | 10 pages, CCNY-HEP-93/2 plain tex | Phys.Lett. B315 (1993) 124-128 | 10.1016/0370-2693(93)90168-H | null | hep-th cond-mat | null | We construct a $W_{\infty}$ gauge field theory of electrons in the lowest
Landau level. For this purpose we introduce an external gauge potential $\cal A
$ such that its $W_{\infty}$ gauge transformations cancel against the gauge
transformation of the electron field. We then show that the electromagnetic
interactions of electrons in the lowest Landau level are obtained through a
non-linear realization of $\cal A$ in terms of the $U(1)$ gauge potential
$A^{\m}$. As applications we derive the effective Lagrangians for circular
droplets and for the $\n =1$ quantum Hall system.
| [
{
"created": "Tue, 13 Jul 1993 20:30:07 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Sakita",
"B.",
""
]
] | We construct a $W_{\infty}$ gauge field theory of electrons in the lowest Landau level. For this purpose we introduce an external gauge potential $\cal A $ such that its $W_{\infty}$ gauge transformations cancel against the gauge transformation of the electron field. We then show that the electromagnetic interactions of electrons in the lowest Landau level are obtained through a non-linear realization of $\cal A$ in terms of the $U(1)$ gauge potential $A^{\m}$. As applications we derive the effective Lagrangians for circular droplets and for the $\n =1$ quantum Hall system. |
1308.6350 | Martin Polacek | Martin Polacek, Warren Siegel | Natural curvature for manifest T-duality | Minor changes in notations (see e.g. eq.(7), eq.(8)). Some typos
corrected: e.g factor "i" in equations (11) and (12). New references added | null | 10.1007/JHEP01(2014)026 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reformulate the manifestly T-dual description of the massless sector of
the closed bosonic string, directly from the geometry associated with the (left
and right) affine Lie algebra of the coset space Poincare/Lorentz. This
construction initially doubles not only the (spacetime) coordinates for
translations but also those for Lorentz transformations (and their dual). As a
result, the Lorentz connection couples directly to the string (as does the
vielbein), rather than being introduced ad hoc to the covariant derivative as
previously. This not only reproduces the old definition of T-dual torsion, but
automatically gives a general, covariant definition of T-dual curvature (but
still with some undetermined connections).
| [
{
"created": "Thu, 29 Aug 2013 02:57:21 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Sep 2013 16:02:14 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Feb 2014 04:22:27 GMT",
"version": "v3"
}
] | 2015-06-17 | [
[
"Polacek",
"Martin",
""
],
[
"Siegel",
"Warren",
""
]
] | We reformulate the manifestly T-dual description of the massless sector of the closed bosonic string, directly from the geometry associated with the (left and right) affine Lie algebra of the coset space Poincare/Lorentz. This construction initially doubles not only the (spacetime) coordinates for translations but also those for Lorentz transformations (and their dual). As a result, the Lorentz connection couples directly to the string (as does the vielbein), rather than being introduced ad hoc to the covariant derivative as previously. This not only reproduces the old definition of T-dual torsion, but automatically gives a general, covariant definition of T-dual curvature (but still with some undetermined connections). |
2306.10771 | Laura Felder | Laura O. Felder, Harold C. Steinacker | Oxidation, Reduction and Semi-Classical Limit for Quantum Matrix
Geometries | null | Laura O. Felder and Harold C. Steinacker, "Oxidation, reduction
and semi-classical limit for quantum matrix geometries", Journal of Geometry
and Physics 199 (2024) | 10.1016/j.geomphys.2024.105163 | UWThPh-2023-21 | hep-th gr-qc math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | Matrix configurations define noncommutative spaces endowed with extra
structure including a generalized Laplace operator, and hence a metric
structure. Made dynamical via matrix models, they describe rich physical
systems including noncommutative gauge theory and emergent gravity. Refining
the construction in [1], we construct a semi-classical limit through an
immersed submanifold of complex projective space based on quasi-coherent
states. We observe the phenomenon of oxidation, where the resulting
semi-classical space acquires spurious extra dimensions. We propose to remove
this artifact by passing to a leaf of a carefully chosen foliation, which
allows to extract the geometrical content of the noncommutative spaces. This is
demonstrated numerically via multiple examples.
| [
{
"created": "Mon, 19 Jun 2023 08:27:10 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Mar 2024 10:12:09 GMT",
"version": "v2"
}
] | 2024-03-15 | [
[
"Felder",
"Laura O.",
""
],
[
"Steinacker",
"Harold C.",
""
]
] | Matrix configurations define noncommutative spaces endowed with extra structure including a generalized Laplace operator, and hence a metric structure. Made dynamical via matrix models, they describe rich physical systems including noncommutative gauge theory and emergent gravity. Refining the construction in [1], we construct a semi-classical limit through an immersed submanifold of complex projective space based on quasi-coherent states. We observe the phenomenon of oxidation, where the resulting semi-classical space acquires spurious extra dimensions. We propose to remove this artifact by passing to a leaf of a carefully chosen foliation, which allows to extract the geometrical content of the noncommutative spaces. This is demonstrated numerically via multiple examples. |
1106.4428 | Roberto Emparan | Roberto Emparan, Troels Harmark, Vasilis Niarchos, Niels A. Obers | Blackfolds in Supergravity and String Theory | 47 pages. v2: comments and refs added | JHEP 1108 (2011) 154 | 10.1007/JHEP08(2011)154 | NORDITA-2011-49, CCTP-2011-16 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop the effective worldvolume theory for the dynamics of black branes
with charges of the kind that arise in many supergravities and low-energy
limits of string theory. Using this theory, we construct numerous new rotating
black holes with charges and dipoles of D-branes, fundamental strings and other
branes. In some instances, the black holes can be dynamically stable close
enough to extremality. Some of these black holes, such as those based on the
D1-D5-P system, have extremal, non-supersymmetric limits with regular horizons
of finite area and a wide variety of horizon topologies and geometries.
| [
{
"created": "Wed, 22 Jun 2011 12:10:03 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Sep 2011 10:51:08 GMT",
"version": "v2"
}
] | 2015-05-28 | [
[
"Emparan",
"Roberto",
""
],
[
"Harmark",
"Troels",
""
],
[
"Niarchos",
"Vasilis",
""
],
[
"Obers",
"Niels A.",
""
]
] | We develop the effective worldvolume theory for the dynamics of black branes with charges of the kind that arise in many supergravities and low-energy limits of string theory. Using this theory, we construct numerous new rotating black holes with charges and dipoles of D-branes, fundamental strings and other branes. In some instances, the black holes can be dynamically stable close enough to extremality. Some of these black holes, such as those based on the D1-D5-P system, have extremal, non-supersymmetric limits with regular horizons of finite area and a wide variety of horizon topologies and geometries. |
1307.5021 | Alexander Burinskii | Alexander Burinskii | Stringlike structures in Kerr-Schild geometry: N=2 string, twistors and
Calabi-Yau twofold | 17 pages, 5 figures, extension of the paper arXiv:1211.6021, to
appear in Theor.Math.Phys | Theor. and Math. Phys. 177(2) (2013) 1492; Teor.Mat.Fiz. 177 (2)
(2013) 247 (Rus vers.) | 10.1007/s11232-013-0118-x | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Four-dimensional Kerr-Schild geometry contains two stringy structures. The
first one is the closed string formed by the Kerr singular ring, and the second
one is an open complex string with was obtained in the complex structure of the
Kerr-Schild geometry. The real and complex Kerr strings form together a
membrane source of the over-rotating Kerr-Newman solution without horizon, $a
=J/m >> m .$ It has also been obtained recently that the principal null
congruence of the Kerr geometry, induced by the complex Kerr string, is
determined by the Kerr theorem as a quartic in the projective twistor space,
which corresponds to embedding of the Calabi-Yau twofold in the bulk of the
Kerr geometry. In this paper we describe this embedding in details and show
that the four folds of the twistorial K3 surface represent an analytic
extension of the Kerr congruence created by antipodal involution.
| [
{
"created": "Mon, 1 Jul 2013 13:26:14 GMT",
"version": "v1"
}
] | 2015-06-16 | [
[
"Burinskii",
"Alexander",
""
]
] | Four-dimensional Kerr-Schild geometry contains two stringy structures. The first one is the closed string formed by the Kerr singular ring, and the second one is an open complex string with was obtained in the complex structure of the Kerr-Schild geometry. The real and complex Kerr strings form together a membrane source of the over-rotating Kerr-Newman solution without horizon, $a =J/m >> m .$ It has also been obtained recently that the principal null congruence of the Kerr geometry, induced by the complex Kerr string, is determined by the Kerr theorem as a quartic in the projective twistor space, which corresponds to embedding of the Calabi-Yau twofold in the bulk of the Kerr geometry. In this paper we describe this embedding in details and show that the four folds of the twistorial K3 surface represent an analytic extension of the Kerr congruence created by antipodal involution. |
1310.1911 | Merab Gogberashvili Prof | Merab Gogberashvili and Pavle Midodashvili | The 5D Standing Wave Braneworld With Real Scalar Field | The version accepted by Advances in High Energy Physics | Adv. High Energy Phys., Vol. 2013 (2013) 873686, | 10.1155/2013/873686 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce the new 5D braneworld with the real scalar field in the bulk.
The model represents the brane which bounds collective oscillations of
gravitational and scalar field standing waves. These waves are out of phase,
i.e. the energy of oscillations passes back and forth between the scalar and
gravitational waves. When the amplitude of the standing waves is small the
brane width and the size of the horizon in extra space are of a same order of
magnitude, and matter fields are localized in extra dimension due to the
presence of the horizon. When oscillations are large trapping of matter fields
on the brane is provided mainly by the pressure of bulk waves. It is shown that
in this case the mass of the lightest KK mode is determined by the smaller
energy scale corresponding to the horizon size, i.e. these modes can be created
in accelerators at relatively low energies, which gives a chance to check the
present model.
| [
{
"created": "Sun, 6 Oct 2013 13:18:45 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Dec 2013 08:42:41 GMT",
"version": "v2"
}
] | 2013-12-13 | [
[
"Gogberashvili",
"Merab",
""
],
[
"Midodashvili",
"Pavle",
""
]
] | We introduce the new 5D braneworld with the real scalar field in the bulk. The model represents the brane which bounds collective oscillations of gravitational and scalar field standing waves. These waves are out of phase, i.e. the energy of oscillations passes back and forth between the scalar and gravitational waves. When the amplitude of the standing waves is small the brane width and the size of the horizon in extra space are of a same order of magnitude, and matter fields are localized in extra dimension due to the presence of the horizon. When oscillations are large trapping of matter fields on the brane is provided mainly by the pressure of bulk waves. It is shown that in this case the mass of the lightest KK mode is determined by the smaller energy scale corresponding to the horizon size, i.e. these modes can be created in accelerators at relatively low energies, which gives a chance to check the present model. |
hep-th/9903017 | Gary Mccartor | Yuji Nakawaki and Gary McCartor | Light-Cone Quantization of the Schwinger Model | 19 pages, two ps figures, uses ptptex.sty and psfig | Prog.Theor.Phys.103:161-181,2000 | 10.1143/PTP.103.161 | SMUHEP/99-03 | hep-th | null | We consider constructing a canonical quantum theory of the light-cone gauge
($A_-$=0) Schwinger model in the light-cone representation. Quantization
conditions are obtained by requiring that translational generators $P_+$ and
$P_-$ give rise to Heisenberg equations which, in a physical subspace, are
consistant with the field equations. A consistent operator solution with
residual gauge degrees of freedom is obtained by solving initial value problems
on the light-cones. The construction allows a parton picture although we have a
physical vacuum with nontrivial degeneracies in the theory.
| [
{
"created": "Mon, 1 Mar 1999 19:54:39 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Nakawaki",
"Yuji",
""
],
[
"McCartor",
"Gary",
""
]
] | We consider constructing a canonical quantum theory of the light-cone gauge ($A_-$=0) Schwinger model in the light-cone representation. Quantization conditions are obtained by requiring that translational generators $P_+$ and $P_-$ give rise to Heisenberg equations which, in a physical subspace, are consistant with the field equations. A consistent operator solution with residual gauge degrees of freedom is obtained by solving initial value problems on the light-cones. The construction allows a parton picture although we have a physical vacuum with nontrivial degeneracies in the theory. |
hep-th/9907208 | Gerald V. Dunne | Gerald V. Dunne | Derivative Expansion and Soliton Masses | 8 pages, 3 figures, RevTeX, uses epsfig.sty | Phys.Lett. B467 (1999) 238-246 | 10.1016/S0370-2693(99)01136-3 | null | hep-th hep-ph | null | We present a simple algorithm to implement the generalized derivative
expansion introduced previously by L-H. Chan, and apply it to the calculation
of the one-loop mass correction to the classical soliton mass in the 1+1
dimensional Jacobi model. We then show how this derivative expansion approach
implies that the total (bosonic plus fermionic) mass correction in an N=1
supersymmetric soliton model is determined solely by the asymptotic values (and
derivatives) of the fermionic background potential. For a static soliton the
total mass correction is $-m/(2\pi)$, in agreement with recent analyses using
phase-shift methods.
| [
{
"created": "Wed, 28 Jul 1999 20:55:16 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Dunne",
"Gerald V.",
""
]
] | We present a simple algorithm to implement the generalized derivative expansion introduced previously by L-H. Chan, and apply it to the calculation of the one-loop mass correction to the classical soliton mass in the 1+1 dimensional Jacobi model. We then show how this derivative expansion approach implies that the total (bosonic plus fermionic) mass correction in an N=1 supersymmetric soliton model is determined solely by the asymptotic values (and derivatives) of the fermionic background potential. For a static soliton the total mass correction is $-m/(2\pi)$, in agreement with recent analyses using phase-shift methods. |
1110.5939 | Dumitru Ghilencea | I. Antoniadis, E. Dudas, D. M. Ghilencea | Goldstino and sgoldstino in microscopic models and the constrained
superfields formalism | 24 pages | null | 10.1016/j.nuclphysb.2011.12.005 | CERN-PH-TH/2011-219; CPHT-RR067.1011 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the exact relation between the superconformal symmetry breaking
chiral superfield (X) and the goldstino superfield in microscopic models of an
arbitrary Kahler potential (K) and in the presence of matter fields. We
investigate the decoupling of the massive sgoldstino and scalar matter fields
and the offshell/onshell-SUSY expressions of their superfields in terms of the
fermions composites. For general K of two superfields, we study the properties
of the superfield X after integrating out these scalar fields, to show that in
the infrared it satisfies (offshell) the condition $X^3=0$ and $X^2\not=0$. We
then compare our results to those of the well-known method of constrained
superfields discussed in the literature, based on the conjecture $X^2=0$. Our
results can be used in applications, to couple offshell the (s)goldstino fields
to realistic models such as the MSSM.
| [
{
"created": "Wed, 26 Oct 2011 22:17:36 GMT",
"version": "v1"
}
] | 2015-05-30 | [
[
"Antoniadis",
"I.",
""
],
[
"Dudas",
"E.",
""
],
[
"Ghilencea",
"D. M.",
""
]
] | We examine the exact relation between the superconformal symmetry breaking chiral superfield (X) and the goldstino superfield in microscopic models of an arbitrary Kahler potential (K) and in the presence of matter fields. We investigate the decoupling of the massive sgoldstino and scalar matter fields and the offshell/onshell-SUSY expressions of their superfields in terms of the fermions composites. For general K of two superfields, we study the properties of the superfield X after integrating out these scalar fields, to show that in the infrared it satisfies (offshell) the condition $X^3=0$ and $X^2\not=0$. We then compare our results to those of the well-known method of constrained superfields discussed in the literature, based on the conjecture $X^2=0$. Our results can be used in applications, to couple offshell the (s)goldstino fields to realistic models such as the MSSM. |
1208.2672 | Diego Trancanelli | Mariano Chernicoff, Daniel Fernandez, David Mateos, Diego Trancanelli | Quarkonium dissociation by anisotropy | 39 pages, 26 figures; v2: minor changes, added references | JHEP 1301:170,2013 | 10.1007/JHEP01(2013)170 | DAMTP-2012-58; ICCUB-12-319; MAD-TH-12-03 | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the screening length for quarkonium mesons moving through an
anisotropic, strongly coupled N=4 super Yang-Mills plasma by means of its
gravity dual. We present the results for arbitrary velocities and orientations
of the mesons, as well as for arbitrary values of the anisotropy. The
anisotropic screening length can be larger or smaller than the isotropic one,
and this depends on whether the comparison is made at equal temperatures or at
equal entropy densities. For generic motion we find that: (i) mesons dissociate
above a certain critical value of the anisotropy, even at zero temperature;
(ii) there is a limiting velocity for mesons in the plasma, even at zero
temperature; (iii) in the ultra-relativistic limit the screening length scales
as $(1-v^2)^\epsilon$ with \epsilon =1/2, in contrast with the isotropic result
\epsilon =1/4.
| [
{
"created": "Mon, 13 Aug 2012 19:23:06 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Jan 2013 16:55:35 GMT",
"version": "v2"
}
] | 2013-01-29 | [
[
"Chernicoff",
"Mariano",
""
],
[
"Fernandez",
"Daniel",
""
],
[
"Mateos",
"David",
""
],
[
"Trancanelli",
"Diego",
""
]
] | We compute the screening length for quarkonium mesons moving through an anisotropic, strongly coupled N=4 super Yang-Mills plasma by means of its gravity dual. We present the results for arbitrary velocities and orientations of the mesons, as well as for arbitrary values of the anisotropy. The anisotropic screening length can be larger or smaller than the isotropic one, and this depends on whether the comparison is made at equal temperatures or at equal entropy densities. For generic motion we find that: (i) mesons dissociate above a certain critical value of the anisotropy, even at zero temperature; (ii) there is a limiting velocity for mesons in the plasma, even at zero temperature; (iii) in the ultra-relativistic limit the screening length scales as $(1-v^2)^\epsilon$ with \epsilon =1/2, in contrast with the isotropic result \epsilon =1/4. |
2205.08477 | Stuart Dowker | J.S.Dowker | On the Green function for an Aharonov-Bohm flux tube | 9 pages Typing errors corrected. Reference and small comment added | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | An earlier contour expression for the Green function of a free complex scalar
field in the presence of a conical singularity with localised magnetic flux is
shown to yield expressions for the field correlator and defect block expansions
that have been more recently found in connection with monodromy defects in
conformal field theory. The Green function appears as the Picard integral
representation of the Appell $F_1$ function. This is shown to transform into a
confluent Horn function, corresponding to a different defect block expansion.
Other transformations are discussed.
| [
{
"created": "Tue, 17 May 2022 16:41:52 GMT",
"version": "v1"
},
{
"created": "Tue, 24 May 2022 16:06:03 GMT",
"version": "v2"
}
] | 2022-05-25 | [
[
"Dowker",
"J. S.",
""
]
] | An earlier contour expression for the Green function of a free complex scalar field in the presence of a conical singularity with localised magnetic flux is shown to yield expressions for the field correlator and defect block expansions that have been more recently found in connection with monodromy defects in conformal field theory. The Green function appears as the Picard integral representation of the Appell $F_1$ function. This is shown to transform into a confluent Horn function, corresponding to a different defect block expansion. Other transformations are discussed. |
1709.04847 | Zahra Molaee | Zahra Molaee and Ahmad Shirzad | Massive gravity, canonical structure and gauge symmetry | 14 pages, published version | Nucl. Phys. B, 933, 2018, 248-261 | 10.1016/j.nuclphysb.2018.06.006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Performing Hamiltonian analysis of the massive gravity [9] in full phase
space, we see that the theory is ghost free. We also see in a more clear way
that this result is intrinsic of the interaction term and does not depend on
the variables involved. Since no first class constraint emerges, the theory
seems to lack gauge symmetry. We show that this is due to the presence of an
auxiliary field, and the symmetry may be manifest in the Stuckelberg
formulation. We give the generating functional of gauge transformation in this
model.
| [
{
"created": "Thu, 14 Sep 2017 15:57:25 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Mar 2018 14:46:01 GMT",
"version": "v2"
},
{
"created": "Tue, 3 Jul 2018 18:18:23 GMT",
"version": "v3"
}
] | 2018-08-01 | [
[
"Molaee",
"Zahra",
""
],
[
"Shirzad",
"Ahmad",
""
]
] | Performing Hamiltonian analysis of the massive gravity [9] in full phase space, we see that the theory is ghost free. We also see in a more clear way that this result is intrinsic of the interaction term and does not depend on the variables involved. Since no first class constraint emerges, the theory seems to lack gauge symmetry. We show that this is due to the presence of an auxiliary field, and the symmetry may be manifest in the Stuckelberg formulation. We give the generating functional of gauge transformation in this model. |
2006.10640 | L. F. F. Freitas | L. F. F. Freitas, G. Alencar and R. R. Landim | Consistency Conditions for $p$-Form Fields Localization on Codimension
two Braneworlds | 39 pages and 2 figures. Final version | Eur. Phys. J. C 80, 1141 (2020) | 10.1140/epjc/s10052-020-08670-9 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, in (Eur.Phys.J.C 80 (2020) 5, 432), the present authors obtained
general stringent conditions on the localization of fields in braneworlds by
imposing that its zero-mode must satisfy Einstein's equations (EE). Here, we
continue this study by considering free $p$-form. These fields present an
on-shell equivalency relation between a $p$-form and a $(D-p-2)$-form, provided
by Hodge duality (HD). This symmetry will impose a new consistency condition,
namely, confinement of a $p$-form must imply the localization of its dual. We
apply the above conditions to $6$D braneworlds. With this, we find that in
global string-like defects, for example, the $1$-form has a normalizable
zero-mode. By using the HD, we show that its bulk dual $3$-form also has a
normalizable zero-mode, making the confinement consistent with HD. However,
these solutions cannot be made consistent with EE, therefore, these fields must
be ruled out. In fact, by imposing both conditions, only the scalar and its
dual field can be consistently localized. In this way, all the literature so
far in which the free $1$-form is localized in codimension two models should be
reviewed. These results also point to the fact that the symmetries of the
fields can be used to verify the consistency of their localization and even
prohibit it.
| [
{
"created": "Thu, 18 Jun 2020 16:08:52 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Jun 2020 17:09:13 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Aug 2020 02:39:52 GMT",
"version": "v3"
},
{
"created": "Sun, 13 Dec 2020 00:05:50 GMT",
"version": "v4"
}
] | 2020-12-15 | [
[
"Freitas",
"L. F. F.",
""
],
[
"Alencar",
"G.",
""
],
[
"Landim",
"R. R.",
""
]
] | Recently, in (Eur.Phys.J.C 80 (2020) 5, 432), the present authors obtained general stringent conditions on the localization of fields in braneworlds by imposing that its zero-mode must satisfy Einstein's equations (EE). Here, we continue this study by considering free $p$-form. These fields present an on-shell equivalency relation between a $p$-form and a $(D-p-2)$-form, provided by Hodge duality (HD). This symmetry will impose a new consistency condition, namely, confinement of a $p$-form must imply the localization of its dual. We apply the above conditions to $6$D braneworlds. With this, we find that in global string-like defects, for example, the $1$-form has a normalizable zero-mode. By using the HD, we show that its bulk dual $3$-form also has a normalizable zero-mode, making the confinement consistent with HD. However, these solutions cannot be made consistent with EE, therefore, these fields must be ruled out. In fact, by imposing both conditions, only the scalar and its dual field can be consistently localized. In this way, all the literature so far in which the free $1$-form is localized in codimension two models should be reviewed. These results also point to the fact that the symmetries of the fields can be used to verify the consistency of their localization and even prohibit it. |
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