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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2105.12028
|
Claude Warnick
|
Harvey S. Reall and Claude M. Warnick
|
Effective field theory and classical equations of motion
|
47 pages; references updated
| null |
10.1063/5.0075455
| null |
hep-th gr-qc math.AP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Given a theory containing both heavy and light fields (the UV theory), a
standard procedure is to integrate out the heavy field to obtain an effective
field theory (EFT) for the light fields. Typically the EFT equations of motion
consist of an expansion involving higher and higher derivatives of the fields,
whose truncation at any finite order may not be well-posed. In this paper we
address the question of how to make sense of the EFT equations of motion, and
whether they provide a good approximation to the classical UV theory. We
propose an approach to solving EFTs which leads to a well-posedness statement.
For a particular choice of UV theory we rigorously derive the corresponding EFT
and show that a large class of classical solutions to the UV theory are well
approximated by EFT solutions. We also consider solutions of the UV theory
which are not well approximated by EFT solutions and demonstrate that these are
close, in an averaged sense, to solutions of a modified EFT.
|
[
{
"created": "Tue, 25 May 2021 15:58:46 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Oct 2021 09:47:54 GMT",
"version": "v2"
}
] |
2022-05-04
|
[
[
"Reall",
"Harvey S.",
""
],
[
"Warnick",
"Claude M.",
""
]
] |
Given a theory containing both heavy and light fields (the UV theory), a standard procedure is to integrate out the heavy field to obtain an effective field theory (EFT) for the light fields. Typically the EFT equations of motion consist of an expansion involving higher and higher derivatives of the fields, whose truncation at any finite order may not be well-posed. In this paper we address the question of how to make sense of the EFT equations of motion, and whether they provide a good approximation to the classical UV theory. We propose an approach to solving EFTs which leads to a well-posedness statement. For a particular choice of UV theory we rigorously derive the corresponding EFT and show that a large class of classical solutions to the UV theory are well approximated by EFT solutions. We also consider solutions of the UV theory which are not well approximated by EFT solutions and demonstrate that these are close, in an averaged sense, to solutions of a modified EFT.
|
1410.3557
|
Sergei V. Ketov
|
Sergei V. Ketov and Natsuki Watanabe
|
The f(R) Gravity Function of the Linde Quintessence
|
LaTeX, 8 pages, 4 figures, a reference added, conclusion expanded
| null |
10.1016/j.physletb.2014.12.047
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the f(R) gravity function in the dual gravity description of the
quintessence model with a quadratic (Linde) scalar potential and a positive
cosmological constant. We find that in the large curvature regime relevant to
chaotic inflation in early Universe, the dual f(R) gravity is well approximated
by the (matter) loop-corrected Starobinsky inflationary model. In the small
curvature regime relevant to dark energy in the present Universe, the f(R)
gravity function reduces to the Einstein-Hilbert one with a positive
cosmological constant.
|
[
{
"created": "Tue, 14 Oct 2014 02:55:07 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Oct 2014 02:41:11 GMT",
"version": "v2"
}
] |
2018-05-09
|
[
[
"Ketov",
"Sergei V.",
""
],
[
"Watanabe",
"Natsuki",
""
]
] |
We calculate the f(R) gravity function in the dual gravity description of the quintessence model with a quadratic (Linde) scalar potential and a positive cosmological constant. We find that in the large curvature regime relevant to chaotic inflation in early Universe, the dual f(R) gravity is well approximated by the (matter) loop-corrected Starobinsky inflationary model. In the small curvature regime relevant to dark energy in the present Universe, the f(R) gravity function reduces to the Einstein-Hilbert one with a positive cosmological constant.
|
1612.04658
|
Dennis D. Dietrich
|
Dennis D. Dietrich and Adrian Koenigstein
|
Schwinger's proper time and worldline holographic renormalisation
|
12 pages
| null | null | null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Worldline holography states that within the framework of the worldline
approach to quantum field theory, sources of a quantum field theory over
Mink$_4$ naturally form a field theory over AdS$_5$ {\sl to all orders} in the
elementary fields and in the sources of arbitrary spin. (Such correspondences
are also available for other pairs of spacetimes, not only
Mink$_4\leftrightarrow\mathrm{AdS}_5$.) Schwinger's proper time of the
worldline formalism is automatically grouped with the physical four spacetime
dimensions into an AdS$_5$ geometry. We show that the worldline holographic
effective action in general and the proper-time profiles of the sources in
particular solve a renormalisation group equation and, reversely, can be
defined as solution to the latter. This fact also ensures regulator
independence.
|
[
{
"created": "Wed, 7 Dec 2016 21:00:11 GMT",
"version": "v1"
}
] |
2016-12-15
|
[
[
"Dietrich",
"Dennis D.",
""
],
[
"Koenigstein",
"Adrian",
""
]
] |
Worldline holography states that within the framework of the worldline approach to quantum field theory, sources of a quantum field theory over Mink$_4$ naturally form a field theory over AdS$_5$ {\sl to all orders} in the elementary fields and in the sources of arbitrary spin. (Such correspondences are also available for other pairs of spacetimes, not only Mink$_4\leftrightarrow\mathrm{AdS}_5$.) Schwinger's proper time of the worldline formalism is automatically grouped with the physical four spacetime dimensions into an AdS$_5$ geometry. We show that the worldline holographic effective action in general and the proper-time profiles of the sources in particular solve a renormalisation group equation and, reversely, can be defined as solution to the latter. This fact also ensures regulator independence.
|
hep-th/9611065
|
John Schwarz
|
Malcolm Perry and John H. Schwarz
|
Interacting Chiral Gauge Fields in Six Dimensions and Born-Infeld Theory
|
22 pages, latex, no figures
|
Nucl.Phys. B489 (1997) 47-64
|
10.1016/S0550-3213(97)00040-0
|
DAMTP R96/49, CALT-68-2077
|
hep-th
| null |
Dimensional reduction of a self-dual tensor gauge field in 6d gives an
Abelian vector gauge field in 5d. We derive the conditions under which an
interacting 5d theory of an Abelian vector gauge field is the dimensional
reduction of a 6d Lorentz invariant interacting theory of a self-dual tensor.
Then we specialize to the particular 6d theory that gives 5d Born-Infeld
theory. The field equation and Lagrangian of this 6d theory are formulated with
manifest 5d Lorentz invariance, while the remaining Lorentz symmetries are
realized nontrivially. A string soliton with finite tension and self-dual
charge is constructed.
|
[
{
"created": "Sat, 9 Nov 1996 22:58:05 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Perry",
"Malcolm",
""
],
[
"Schwarz",
"John H.",
""
]
] |
Dimensional reduction of a self-dual tensor gauge field in 6d gives an Abelian vector gauge field in 5d. We derive the conditions under which an interacting 5d theory of an Abelian vector gauge field is the dimensional reduction of a 6d Lorentz invariant interacting theory of a self-dual tensor. Then we specialize to the particular 6d theory that gives 5d Born-Infeld theory. The field equation and Lagrangian of this 6d theory are formulated with manifest 5d Lorentz invariance, while the remaining Lorentz symmetries are realized nontrivially. A string soliton with finite tension and self-dual charge is constructed.
|
hep-th/9707237
|
Manuel Calixto Molina
|
J. Guerrero, M. Calixto and V. Aldaya
|
Modular Invariance on the Torus and Abelian Chern-Simons Theory
|
24 pages, latex, no figures; title changed; last version published in
JMP
|
J.Math.Phys. 40 (1999) 3773-3790
|
10.1063/1.532926
| null |
hep-th
| null |
The implementation of modular invariance on the torus as a phase space at the
quantum level is discussed in a group-theoretical framework. Unlike the
classical case, at the quantum level some restrictions on the parameters of the
theory should be imposed to ensure modular invariance. Two cases must be
considered, depending on the cohomology class of the symplectic form on the
torus. If it is of integer cohomology class $n$, then full modular invariance
is achieved at the quantum level only for those wave functions on the torus
which are periodic if $n$ is even, or antiperiodic if $n$ is odd. If the
symplectic form is of rational cohomology class $\frac{n}{r}$, a similar result
holds --the wave functions must be either periodic or antiperiodic on a torus
$r$ times larger in both direccions, depending on the parity of $nr$.
Application of these results to the Abelian Chern-Simons is discussed.
|
[
{
"created": "Tue, 29 Jul 1997 11:17:55 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Dec 2001 16:48:10 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Guerrero",
"J.",
""
],
[
"Calixto",
"M.",
""
],
[
"Aldaya",
"V.",
""
]
] |
The implementation of modular invariance on the torus as a phase space at the quantum level is discussed in a group-theoretical framework. Unlike the classical case, at the quantum level some restrictions on the parameters of the theory should be imposed to ensure modular invariance. Two cases must be considered, depending on the cohomology class of the symplectic form on the torus. If it is of integer cohomology class $n$, then full modular invariance is achieved at the quantum level only for those wave functions on the torus which are periodic if $n$ is even, or antiperiodic if $n$ is odd. If the symplectic form is of rational cohomology class $\frac{n}{r}$, a similar result holds --the wave functions must be either periodic or antiperiodic on a torus $r$ times larger in both direccions, depending on the parity of $nr$. Application of these results to the Abelian Chern-Simons is discussed.
|
hep-th/0609222
|
Marcelo Gomes
|
A. F. Ferrari, M. Gomes, J. R. Nascimento, E. Passos, A. Yu. Petrov,
A. J. da Silva
|
Lorentz violation in the linearized gravity
|
14 pages, 1 figure, revtex4; v4: final version
|
Phys.Lett.B652:174-180,2007
|
10.1016/j.physletb.2007.07.013
| null |
hep-th
| null |
We study some physical consequences of the introduction of a
Lorentz-violating modification term in the linearized gravity, which leads to
modified dispersion relations for gravitational waves in the vacuum. We discuss
two possible mechanisms for the induction of such a term in the Lagrangian.
First, it is generated at the quantum level by a Lorentz-breaking coupling of
the gravity field to a spinor field. Second, it appears as consequence of a
particular modification of the Poisson algebra of the canonical variables, in
the spirit of the so-called ``noncommutative fields approach''.
|
[
{
"created": "Fri, 29 Sep 2006 18:05:14 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Feb 2007 20:37:37 GMT",
"version": "v2"
},
{
"created": "Tue, 22 May 2007 20:47:46 GMT",
"version": "v3"
},
{
"created": "Thu, 30 Aug 2007 18:57:18 GMT",
"version": "v4"
}
] |
2008-11-26
|
[
[
"Ferrari",
"A. F.",
""
],
[
"Gomes",
"M.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Passos",
"E.",
""
],
[
"Petrov",
"A. Yu.",
""
],
[
"da Silva",
"A. J.",
""
]
] |
We study some physical consequences of the introduction of a Lorentz-violating modification term in the linearized gravity, which leads to modified dispersion relations for gravitational waves in the vacuum. We discuss two possible mechanisms for the induction of such a term in the Lagrangian. First, it is generated at the quantum level by a Lorentz-breaking coupling of the gravity field to a spinor field. Second, it appears as consequence of a particular modification of the Poisson algebra of the canonical variables, in the spirit of the so-called ``noncommutative fields approach''.
|
hep-th/0612185
|
Lee Smolin
|
Lee Smolin
|
The status of cosmological natural selection
|
25 pages, no figures
| null | null | null |
hep-th
| null |
The problem of making predictions from theories that have landscapes of
possible low energy parameters is reviewed. Conditions for such a theory to
yield falsifiable predictions for doable experiments are given. It is shown
that the hypothesis of cosmological natural selection satisfies these
conditions, thus showing that it is possible to continue to do physics on a
landscape without invoking the anthropic principle. In particular, this is true
whether or not the ensemble of universes generated by black holes bouncing is a
sub-ensemble of a larger ensemble that might be generated by a random process
such as eternal inflation.
A recent criticism of cosmological natural selection made by Vilenkin in
hep-th/0610051 is discussed. It is shown to rely on assumptions about both the
infrared and ultraviolet behavior of quantum gravity that are very unlikely to
be true.
|
[
{
"created": "Mon, 18 Dec 2006 14:29:15 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Smolin",
"Lee",
""
]
] |
The problem of making predictions from theories that have landscapes of possible low energy parameters is reviewed. Conditions for such a theory to yield falsifiable predictions for doable experiments are given. It is shown that the hypothesis of cosmological natural selection satisfies these conditions, thus showing that it is possible to continue to do physics on a landscape without invoking the anthropic principle. In particular, this is true whether or not the ensemble of universes generated by black holes bouncing is a sub-ensemble of a larger ensemble that might be generated by a random process such as eternal inflation. A recent criticism of cosmological natural selection made by Vilenkin in hep-th/0610051 is discussed. It is shown to rely on assumptions about both the infrared and ultraviolet behavior of quantum gravity that are very unlikely to be true.
|
hep-th/0203268
|
Luciano Vanzo
|
Dietmar Klemm and Luciano Vanzo
|
De Sitter Gravity and Liouville Theory
|
22 pages, LateX2e; added references for section 1 and section 2;
corrected typos; improved discussion in section 2
|
JHEP 0204 (2002) 030
|
10.1088/1126-6708/2002/04/030
|
IFUM-710-FT, UTF-447
|
hep-th gr-qc
| null |
We show that the spectrum of conical defects in three-dimensional de Sitter
space is in one-to-one correspondence with the spectrum of vertex operators in
Liouville conformal field theory. The classical conformal dimensions of vertex
operators are equal to the masses of the classical point particles in dS_3 that
cause the conical defect. The quantum dimensions instead are shown to coincide
with the mass of the Kerr-dS_3 solution computed with the Brown-York stress
tensor. Therefore classical de Sitter gravity encodes the quantum properties of
Liouville theory. The equality of the gravitational and the Liouville stress
tensor provides a further check of this correspondence. The Seiberg bound for
vertex operators translates on the bulk side into an upper mass bound for
classical point particles. Bulk solutions with cosmological event horizons
correspond to microscopic Liouville states, whereas those without horizons
correspond to macroscopic (normalizable) states. We also comment on recent
criticism by Dyson, Lindesay and Susskind, and point out that the
contradictions found by these authors may be resolved if the dual CFT is not
able to capture the thermal nature of de Sitter space. Indeed we find that on
the CFT side, de Sitter entropy is merely Liouville momentum, and thus has no
statistical interpretation in this approach.
|
[
{
"created": "Thu, 28 Mar 2002 13:15:07 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Apr 2002 09:12:16 GMT",
"version": "v2"
},
{
"created": "Thu, 2 May 2002 09:17:01 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Klemm",
"Dietmar",
""
],
[
"Vanzo",
"Luciano",
""
]
] |
We show that the spectrum of conical defects in three-dimensional de Sitter space is in one-to-one correspondence with the spectrum of vertex operators in Liouville conformal field theory. The classical conformal dimensions of vertex operators are equal to the masses of the classical point particles in dS_3 that cause the conical defect. The quantum dimensions instead are shown to coincide with the mass of the Kerr-dS_3 solution computed with the Brown-York stress tensor. Therefore classical de Sitter gravity encodes the quantum properties of Liouville theory. The equality of the gravitational and the Liouville stress tensor provides a further check of this correspondence. The Seiberg bound for vertex operators translates on the bulk side into an upper mass bound for classical point particles. Bulk solutions with cosmological event horizons correspond to microscopic Liouville states, whereas those without horizons correspond to macroscopic (normalizable) states. We also comment on recent criticism by Dyson, Lindesay and Susskind, and point out that the contradictions found by these authors may be resolved if the dual CFT is not able to capture the thermal nature of de Sitter space. Indeed we find that on the CFT side, de Sitter entropy is merely Liouville momentum, and thus has no statistical interpretation in this approach.
|
1003.3698
|
Kazuo Ghoroku
|
Kazuo Ghoroku, Akihiro Nakamura, Tomoki Taminato and Fumihiko Toyoda
|
Holographic Penta and Hepta Quark State in Confining Gauge Theories
|
24 pages, 6 figures
|
JHEP 1008:007,2010
|
10.1007/JHEP08(2010)007
|
FIT HE - 10-01
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a new embedding solutions of D5 brane in an asymptotic
AdS${}_5\times S^5$ space-time, which is dual to a confining $SU(N_c)$ gauge
theory. The D5 brane is wrapped on $S^5$ as in the case of the vertex of
holographic baryon. However, the solution given here is different from the
usual baryon vertex in the point that it couples to $k$-anti-quarks and $N_c+k$
quarks on the opposite two points of $S^5$, the north and south poles,
respectively. The total quark number of this state is preserved as $N_c$ when
minus one is assigned to anti-quark, then it forms a color singlet like the
baryon. However, this includes anti-quarks and quarks, whose number is larger
than that of the baryon. When we set as $N_c=3$, we find the so called penta
and hepta-quark states. We study the dynamical properties of these states by
solving the vertex and string configurations for such states. The mass spectra
of these states and the tension of the stretched vertex are estimated, and they
are compared with that of the baryon.
|
[
{
"created": "Fri, 19 Mar 2010 01:12:17 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Mar 2010 01:48:31 GMT",
"version": "v2"
}
] |
2015-03-13
|
[
[
"Ghoroku",
"Kazuo",
""
],
[
"Nakamura",
"Akihiro",
""
],
[
"Taminato",
"Tomoki",
""
],
[
"Toyoda",
"Fumihiko",
""
]
] |
We study a new embedding solutions of D5 brane in an asymptotic AdS${}_5\times S^5$ space-time, which is dual to a confining $SU(N_c)$ gauge theory. The D5 brane is wrapped on $S^5$ as in the case of the vertex of holographic baryon. However, the solution given here is different from the usual baryon vertex in the point that it couples to $k$-anti-quarks and $N_c+k$ quarks on the opposite two points of $S^5$, the north and south poles, respectively. The total quark number of this state is preserved as $N_c$ when minus one is assigned to anti-quark, then it forms a color singlet like the baryon. However, this includes anti-quarks and quarks, whose number is larger than that of the baryon. When we set as $N_c=3$, we find the so called penta and hepta-quark states. We study the dynamical properties of these states by solving the vertex and string configurations for such states. The mass spectra of these states and the tension of the stretched vertex are estimated, and they are compared with that of the baryon.
|
1112.5106
|
Jan Louis
|
Jan Louis, Martin Schasny and Roberto Valandro
|
6D Effective Action of Heterotic Compactification on K3 with nontrivial
Gauge Bundles
|
41 pages, typos corrected, references added
| null |
10.1007/JHEP04(2012)028
|
ZMP-HH/11-23
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the six-dimensional effective action of the heterotic string
compactified on K3 for the standard embedding and for a class of backgrounds
with line bundles and appropriate Yang-Mills fluxes. We compute the couplings
of the charged scalars and the bundle moduli as functions of the geometrical K3
moduli from a Kaluza-Klein analysis. We derive the D-term potential and show
that in the flux backgrounds U(1) vector multiplets become massive by a
Stuckelberg mechanism.
|
[
{
"created": "Wed, 21 Dec 2011 17:33:11 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jan 2012 15:24:20 GMT",
"version": "v2"
}
] |
2015-06-03
|
[
[
"Louis",
"Jan",
""
],
[
"Schasny",
"Martin",
""
],
[
"Valandro",
"Roberto",
""
]
] |
We compute the six-dimensional effective action of the heterotic string compactified on K3 for the standard embedding and for a class of backgrounds with line bundles and appropriate Yang-Mills fluxes. We compute the couplings of the charged scalars and the bundle moduli as functions of the geometrical K3 moduli from a Kaluza-Klein analysis. We derive the D-term potential and show that in the flux backgrounds U(1) vector multiplets become massive by a Stuckelberg mechanism.
|
hep-th/9411196
|
Lev Vaidman
|
Yakir Aharonov and Lev Vaidman
|
Protective Measurements
|
21 pages, 1 figure
| null |
10.1111/j.1749-6632.1995.tb38979.x
|
TAUP 2214-94
|
hep-th quant-ph
| null |
Protective measurements yield properties of the quantum state of a single
quantum system without affecting the quantum state. A protective measurement
involves adiabatic coupling to the measuring device together with a procedure
to protect the state from changing. For nondegenerate energy eigenstates the
protection is provided by the system itself. In this case it is actually
possible to measure the Schr\"odinger wave via measurements on a single system.
This fact provides an argument in favor of associating physical reality with a
quantum state of a single system, challenging the usual ensemble
interpretation. We also believe that the complete description of a quantum
system requires a two-state vector formalism involving (in addition to the
usual one)a future quantum state evolving backwards in time. Protective
measurements testing the two-state vector reality are constructed.
|
[
{
"created": "Sun, 27 Nov 1994 11:02:40 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Nov 1994 17:47:15 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Aharonov",
"Yakir",
""
],
[
"Vaidman",
"Lev",
""
]
] |
Protective measurements yield properties of the quantum state of a single quantum system without affecting the quantum state. A protective measurement involves adiabatic coupling to the measuring device together with a procedure to protect the state from changing. For nondegenerate energy eigenstates the protection is provided by the system itself. In this case it is actually possible to measure the Schr\"odinger wave via measurements on a single system. This fact provides an argument in favor of associating physical reality with a quantum state of a single system, challenging the usual ensemble interpretation. We also believe that the complete description of a quantum system requires a two-state vector formalism involving (in addition to the usual one)a future quantum state evolving backwards in time. Protective measurements testing the two-state vector reality are constructed.
|
1911.11439
|
Michael Thies
|
Michael Thies
|
Phase structure of the 1+1 dimensional Nambu--Jona-Lasinio model with
isospin
|
14 pages, 8 figures; v2: references added, typos corrected
|
Phys. Rev. D 101, 014010 (2020)
|
10.1103/PhysRevD.101.014010
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The phase diagram of the two-dimensional Nambu--Jona-Lasinio model with
isospin is explored in the large Nc limit with semiclassical methods. We
consider finite temperature and include chemical potentials for all conserved
charges. In the chiral limit, a full analytical solution is presented,
expressed in terms of known results for the single-flavor Gross-Neveu and
Nambu--Jona-Lasinio models. A novel crystalline structure appears and is shown
explicitly to be thermodynamically more stable than the homogeneous phase at
zero temperature. If we include a bare fermion mass, the problem reduces again
to solved problems in one-flavor models provided that either the fermionic or
the isospin chemical potentials vanish. In the general case, a stability
analysis is used to construct the perturbative phase boundary between
homogeneous and inhomogeneous phases. This is sufficient to get a good overview
of the complete phase diagram. Missing non-perturbative phase boundaries
requiring a full numerical Hartree-Fock calculation will be presented in future
work.
|
[
{
"created": "Tue, 26 Nov 2019 10:24:14 GMT",
"version": "v1"
},
{
"created": "Sun, 12 Jan 2020 15:48:56 GMT",
"version": "v2"
}
] |
2020-01-22
|
[
[
"Thies",
"Michael",
""
]
] |
The phase diagram of the two-dimensional Nambu--Jona-Lasinio model with isospin is explored in the large Nc limit with semiclassical methods. We consider finite temperature and include chemical potentials for all conserved charges. In the chiral limit, a full analytical solution is presented, expressed in terms of known results for the single-flavor Gross-Neveu and Nambu--Jona-Lasinio models. A novel crystalline structure appears and is shown explicitly to be thermodynamically more stable than the homogeneous phase at zero temperature. If we include a bare fermion mass, the problem reduces again to solved problems in one-flavor models provided that either the fermionic or the isospin chemical potentials vanish. In the general case, a stability analysis is used to construct the perturbative phase boundary between homogeneous and inhomogeneous phases. This is sufficient to get a good overview of the complete phase diagram. Missing non-perturbative phase boundaries requiring a full numerical Hartree-Fock calculation will be presented in future work.
|
hep-th/0606190
|
Konstadinos Sfetsos
|
Spyros D. Avramis and Konstadinos Sfetsos
|
Supergravity and the jet quenching parameter in the presence of R-charge
densities
|
18 pages, 2 figures; v3: clarifying comments added, references added,
version to appear in JHEP
|
JHEP 0701:065,2007
|
10.1088/1126-6708/2007/01/065
| null |
hep-th
| null |
Following a recent proposal, we employ the AdS/CFT correspondence to compute
the jet quenching parameter for N=4 Yang-Mills theory at nonzero R-charge
densities. Using as dual supergravity backgrounds non-extremal rotating branes,
we find that the presence of the R-charges generically enhances the jet
quenching phenomenon. However, at fixed temperature, this enhancement might or
might not be a monotonically increasing function of the R-charge density and
depends on the number of independent angular momenta describing the solution.
We perform our analysis for the canonical as well as for the grand canonical
ensemble which give qualitatively similar results.
|
[
{
"created": "Tue, 20 Jun 2006 12:27:11 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Jun 2006 09:20:03 GMT",
"version": "v2"
},
{
"created": "Mon, 1 Jan 2007 15:52:41 GMT",
"version": "v3"
}
] |
2010-10-27
|
[
[
"Avramis",
"Spyros D.",
""
],
[
"Sfetsos",
"Konstadinos",
""
]
] |
Following a recent proposal, we employ the AdS/CFT correspondence to compute the jet quenching parameter for N=4 Yang-Mills theory at nonzero R-charge densities. Using as dual supergravity backgrounds non-extremal rotating branes, we find that the presence of the R-charges generically enhances the jet quenching phenomenon. However, at fixed temperature, this enhancement might or might not be a monotonically increasing function of the R-charge density and depends on the number of independent angular momenta describing the solution. We perform our analysis for the canonical as well as for the grand canonical ensemble which give qualitatively similar results.
|
hep-th/0103053
|
Hrvoje Nikolic
|
H. Nikolic
|
Is particle creation by the gravitational field consistent with energy
conservation?
|
7 pages
| null | null | null |
hep-th gr-qc
| null |
If particle creation is described by a Bogoliubov transformation, then, in
the Heisenberg picture, the raising and lowering operators are time dependent.
On the other hand, this time dependence is not consistent with field equations
and the conservation of the stress-energy tensor. Possible physical
interpretations and resolutions of this inconsistency are discussed.
|
[
{
"created": "Thu, 8 Mar 2001 14:34:47 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Nikolic",
"H.",
""
]
] |
If particle creation is described by a Bogoliubov transformation, then, in the Heisenberg picture, the raising and lowering operators are time dependent. On the other hand, this time dependence is not consistent with field equations and the conservation of the stress-energy tensor. Possible physical interpretations and resolutions of this inconsistency are discussed.
|
1706.07026
|
Zi-Qiang Zhang
|
Zi-qiang Zhang, Chong Ma, De-fu Hou, Gang Chen
|
$R^2$ corrections to holographic Schwinger effect
|
9 pages, 4 figures
|
Annals of Physics 382 (2017) 1-10
|
10.1016/j.aop.2017.04.007
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study $R^2$ corrections to the holographic Schwinger effect in an AdS
black hole background and a confining D3-brane background, respectively. The
potential analysis for these backgrounds is presented. The critical values for
the electric field are obtained. It is shown that for both backgrounds
increasing the Gauss-Bonnet parameter the Schwinger effect is enhanced.
Moreover, the results provide an estimate of how the Schwinger effect changes
with the shear viscosity to entropy density ratio, $\eta/s$, at strong
coupling.
|
[
{
"created": "Tue, 20 Jun 2017 09:02:46 GMT",
"version": "v1"
}
] |
2017-06-22
|
[
[
"Zhang",
"Zi-qiang",
""
],
[
"Ma",
"Chong",
""
],
[
"Hou",
"De-fu",
""
],
[
"Chen",
"Gang",
""
]
] |
We study $R^2$ corrections to the holographic Schwinger effect in an AdS black hole background and a confining D3-brane background, respectively. The potential analysis for these backgrounds is presented. The critical values for the electric field are obtained. It is shown that for both backgrounds increasing the Gauss-Bonnet parameter the Schwinger effect is enhanced. Moreover, the results provide an estimate of how the Schwinger effect changes with the shear viscosity to entropy density ratio, $\eta/s$, at strong coupling.
|
hep-th/0309034
|
Djemai Abed-El-Farid
|
A.E.F. Djemai
|
On Noncommutative Classical Mechanics
|
14 pages, 0 figures
| null |
10.1023/B:IJTP.0000028864.02161.a3
|
LBPM-02/03
|
hep-th
| null |
In this work, I investigate the noncommutative Poisson algebra of classical
observables corresponding to a proposed general Noncommutative Quantum
Mechanics, \cite{1}. I treat some classical systems with various potentials and
some Physical interpretations are given concerning the presence of
noncommutativity at large scales (Celeste Mechanics) directly tied to the one
present at small scales (Quantum Mechanics) and its possible relation with
UV/IR mixing.
|
[
{
"created": "Wed, 3 Sep 2003 02:20:08 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Oct 2003 16:58:10 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Djemai",
"A. E. F.",
""
]
] |
In this work, I investigate the noncommutative Poisson algebra of classical observables corresponding to a proposed general Noncommutative Quantum Mechanics, \cite{1}. I treat some classical systems with various potentials and some Physical interpretations are given concerning the presence of noncommutativity at large scales (Celeste Mechanics) directly tied to the one present at small scales (Quantum Mechanics) and its possible relation with UV/IR mixing.
|
hep-th/0309027
|
Vladimir Ivashchuk
|
V. D. Ivashchuk
|
On composite S-brane solutions with orthogonal intersection rules
|
12 pages, Latex; several typos (e.g. in eq. (3.4)) are eliminated
| null | null |
IGC-PFUR-08/2003
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that non-composite intersecting S-brane solutions received in
hep-th/0301095 are special case of cosmological-type solutions with composite
p-branes obtained in our earlier publications.
|
[
{
"created": "Tue, 2 Sep 2003 13:12:44 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Oct 2011 15:43:51 GMT",
"version": "v2"
}
] |
2011-11-01
|
[
[
"Ivashchuk",
"V. D.",
""
]
] |
It is shown that non-composite intersecting S-brane solutions received in hep-th/0301095 are special case of cosmological-type solutions with composite p-branes obtained in our earlier publications.
|
2212.06157
|
Miguel Correia
|
Miguel Correia
|
Nonperturbative Anomalous Thresholds
|
6 pages + appendices, 11 figures
| null | null | null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Feynman diagrams (notably the triangle diagram) involving heavy enough
particles contain branch cuts on the physical sheet - anomalous thresholds -
which, unlike normal thresholds and bound-state poles, do not correspond to any
asymptotic $n$-particle state. ``Who ordered that?" We show that anomalous
thresholds arise as a consequence of established S-matrix principles and two
reasonable assumptions: unitarity below the physical region and analyticity in
the mass. We find explicit nonperturbative formulas for the discontinuity
across the anomalous threshold in $d=2$, and in $d = 4$, ready to be used in
dispersion relations for bootstrap and phenomenological applications.
|
[
{
"created": "Mon, 12 Dec 2022 19:00:00 GMT",
"version": "v1"
}
] |
2022-12-14
|
[
[
"Correia",
"Miguel",
""
]
] |
Feynman diagrams (notably the triangle diagram) involving heavy enough particles contain branch cuts on the physical sheet - anomalous thresholds - which, unlike normal thresholds and bound-state poles, do not correspond to any asymptotic $n$-particle state. ``Who ordered that?" We show that anomalous thresholds arise as a consequence of established S-matrix principles and two reasonable assumptions: unitarity below the physical region and analyticity in the mass. We find explicit nonperturbative formulas for the discontinuity across the anomalous threshold in $d=2$, and in $d = 4$, ready to be used in dispersion relations for bootstrap and phenomenological applications.
|
1612.05197
|
Emery Sokatchev
|
Dmitry Chicherin, Paul Heslop, Gregory P. Korchemsky, Emery Sokatchev
|
Wilson Loop Form Factors: A New Duality
|
38 pages, 4 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find a new duality for form factors of lightlike Wilson loops in planar
$\mathcal N=4$ super-Yang-Mills theory. The duality maps a form factor
involving an $n$-sided lightlike polygonal super-Wilson loop together with $m$
external on-shell states, to the same type of object but with the edges of the
Wilson loop and the external states swapping roles. This relation can
essentially be seen graphically in Lorentz harmonic chiral (LHC) superspace
where it is equivalent to planar graph duality. However there are some crucial
subtleties with the cancellation of spurious poles due to the gauge fixing.
They are resolved by finding the correct formulation of the Wilson loop and by
careful analytic continuation from Minkowski to Euclidean space. We illustrate
all of these subtleties explicitly in the simplest non-trivial NMHV-like case.
|
[
{
"created": "Thu, 15 Dec 2016 19:18:02 GMT",
"version": "v1"
}
] |
2016-12-16
|
[
[
"Chicherin",
"Dmitry",
""
],
[
"Heslop",
"Paul",
""
],
[
"Korchemsky",
"Gregory P.",
""
],
[
"Sokatchev",
"Emery",
""
]
] |
We find a new duality for form factors of lightlike Wilson loops in planar $\mathcal N=4$ super-Yang-Mills theory. The duality maps a form factor involving an $n$-sided lightlike polygonal super-Wilson loop together with $m$ external on-shell states, to the same type of object but with the edges of the Wilson loop and the external states swapping roles. This relation can essentially be seen graphically in Lorentz harmonic chiral (LHC) superspace where it is equivalent to planar graph duality. However there are some crucial subtleties with the cancellation of spurious poles due to the gauge fixing. They are resolved by finding the correct formulation of the Wilson loop and by careful analytic continuation from Minkowski to Euclidean space. We illustrate all of these subtleties explicitly in the simplest non-trivial NMHV-like case.
|
1208.2145
|
Alon Faraggi
|
Laura Bernard, Alon E Faraggi, Ivan Glasser, John Rizos and Hasan
Sonmez
|
String Derived Exophobic SU(6)xSU(2) GUTs
|
20 pages. Standard LaTeX
|
Nucl.Phys.B868:1-15,2013
|
10.1016/j.nuclphysb.2012.11.001
|
LTH-953
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
With the apparent discovery of the Higgs boson, the Standard Model has been
confirmed as the theory accounting for all sub-atomic phenomena. This
observation lends further credence to the perturbative unification in Grand
Unified Theories (GUTs) and string theories. The free fermionic formalism
yielded fertile ground for the construction of quasi--realistic
heterotic--string models, which correspond to toroidal Z2xZ2 orbifold
compactifications. In this paper we study a new class of heterotic-string
models in which the GUT group is SU(6)xSU(2) at the string level. We use our
recently developed fishing algorithm to extract an example of a three
generation SU(6)xSU(2) GUT model. We explore the phenomenology of the model and
show that it contains the required symmetry breaking Higgs representations. We
show that the model admits flat directions that produce a Yukawa coupling for a
single family. The novel feature of the SU(6)xSU(2) string GUT models is that
they produce an additional family universal anomaly free U(1)symmetry that may
remain unbroken below the string scale. The massless spectrum of the model is
free of exotic states.
|
[
{
"created": "Fri, 10 Aug 2012 11:19:22 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Sep 2012 15:58:50 GMT",
"version": "v2"
}
] |
2014-03-26
|
[
[
"Bernard",
"Laura",
""
],
[
"Faraggi",
"Alon E",
""
],
[
"Glasser",
"Ivan",
""
],
[
"Rizos",
"John",
""
],
[
"Sonmez",
"Hasan",
""
]
] |
With the apparent discovery of the Higgs boson, the Standard Model has been confirmed as the theory accounting for all sub-atomic phenomena. This observation lends further credence to the perturbative unification in Grand Unified Theories (GUTs) and string theories. The free fermionic formalism yielded fertile ground for the construction of quasi--realistic heterotic--string models, which correspond to toroidal Z2xZ2 orbifold compactifications. In this paper we study a new class of heterotic-string models in which the GUT group is SU(6)xSU(2) at the string level. We use our recently developed fishing algorithm to extract an example of a three generation SU(6)xSU(2) GUT model. We explore the phenomenology of the model and show that it contains the required symmetry breaking Higgs representations. We show that the model admits flat directions that produce a Yukawa coupling for a single family. The novel feature of the SU(6)xSU(2) string GUT models is that they produce an additional family universal anomaly free U(1)symmetry that may remain unbroken below the string scale. The massless spectrum of the model is free of exotic states.
|
hep-th/9706144
|
Yosuke Imamura
|
Yosuke Imamura
|
Born-Infeld Action and Chern-Simons Term from Kaluza-Klein Monopole in
M-theory
|
11 pages, LaTeX
|
Phys.Lett. B414 (1997) 242-250
|
10.1016/S0370-2693(97)01204-5
|
KUNS-1457
|
hep-th
| null |
We investigate the zero modes of the Kaluza-Klein monopole in M-theory and
show that the Born-Infeld action and the Chern-Simons term of a D6-brane are
reproduced to quadratic order in the field strength of the U(1) field on the
brane.
|
[
{
"created": "Fri, 20 Jun 1997 10:48:36 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Imamura",
"Yosuke",
""
]
] |
We investigate the zero modes of the Kaluza-Klein monopole in M-theory and show that the Born-Infeld action and the Chern-Simons term of a D6-brane are reproduced to quadratic order in the field strength of the U(1) field on the brane.
|
hep-th/9906036
|
Paul Fendley
|
Paul Fendley
|
Sigma models as perturbed conformal field theories
|
4 pages. v2: corrects typos (including several in the published
version)
|
Phys.Rev.Lett. 83 (1999) 4468-4471
|
10.1103/PhysRevLett.83.4468
| null |
hep-th cond-mat.stat-mech
| null |
We show that two-dimensional sigma models are equivalent to certain perturbed
conformal field theories. When the fields in the sigma model take values in a
space G/H for a group G and a maximal subgroup H, the corresponding conformal
field theory is the $k\to\infty$ limit of the coset model $(G/H)_k$, and the
perturbation is related to the current of G. This correspondence allows us for
example to find the free energy for the "O(n)" (=O(n)/O(n-1)) sigma model at
non-zero temperature. It also results in a new approach to the CP^{n} model.
|
[
{
"created": "Fri, 4 Jun 1999 14:04:26 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jun 2001 15:19:14 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Fendley",
"Paul",
""
]
] |
We show that two-dimensional sigma models are equivalent to certain perturbed conformal field theories. When the fields in the sigma model take values in a space G/H for a group G and a maximal subgroup H, the corresponding conformal field theory is the $k\to\infty$ limit of the coset model $(G/H)_k$, and the perturbation is related to the current of G. This correspondence allows us for example to find the free energy for the "O(n)" (=O(n)/O(n-1)) sigma model at non-zero temperature. It also results in a new approach to the CP^{n} model.
|
2106.00689
|
Giulia Peveri
|
Lorenzo Bianchi, Gabriel Bliard, Valentina Forini, Giulia Peveri
|
Mellin amplitudes for 1$d$ CFT
|
48 pages, 2 figures, 1 Mathematica notebook attached; v2: enlarged
text in Sections 1,3,5, matches published version in JHEP
|
JHEP 10 (2021) 095
|
10.1007/JHEP10(2021)095
|
HU-EP-21/11-RTG
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We define a Mellin amplitude for CFT$_1$ four-point functions. Its analytical
properties are inferred from physical requirements on the correlator. We
discuss the analytic continuation that is necessary for a fully nonperturbative
definition of the Mellin transform. The resulting bounded, meromorphic function
of a single complex variable is used to derive an infinite set of
nonperturbative sum rules for CFT data of exchanged operators, which we test on
known examples. We then consider the perturbative setup produced by quartic
interactions with an arbitrary number of derivatives in a bulk AdS$_2$ field
theory. With our formalism, we obtain a closed-form expression for the Mellin
transform of tree-level contact interactions and for the first correction to
the scaling dimension of "two-particle" operators exchanged in the generalized
free field theory correlator.
|
[
{
"created": "Tue, 1 Jun 2021 18:00:03 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Oct 2021 08:55:58 GMT",
"version": "v2"
}
] |
2021-10-19
|
[
[
"Bianchi",
"Lorenzo",
""
],
[
"Bliard",
"Gabriel",
""
],
[
"Forini",
"Valentina",
""
],
[
"Peveri",
"Giulia",
""
]
] |
We define a Mellin amplitude for CFT$_1$ four-point functions. Its analytical properties are inferred from physical requirements on the correlator. We discuss the analytic continuation that is necessary for a fully nonperturbative definition of the Mellin transform. The resulting bounded, meromorphic function of a single complex variable is used to derive an infinite set of nonperturbative sum rules for CFT data of exchanged operators, which we test on known examples. We then consider the perturbative setup produced by quartic interactions with an arbitrary number of derivatives in a bulk AdS$_2$ field theory. With our formalism, we obtain a closed-form expression for the Mellin transform of tree-level contact interactions and for the first correction to the scaling dimension of "two-particle" operators exchanged in the generalized free field theory correlator.
|
0710.0216
|
Kazuki Hasebe
|
Kazuki Hasebe
|
SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
|
This is a contribution to the Proc. of the Seventh International
Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007,
Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry:
Methods and Applications) at http://www.emis.de/journals/SIGMA/
|
SIGMA 4 (2008), 023, 21 pages
|
10.3842/SIGMA.2008.023
| null |
hep-th cond-mat.mes-hall
| null |
We review the recent developments of the SUSY quantum Hall effect
[hep-th/0409230, hep-th/0411137, hep-th/0503162, hep-th/0606007,
arXiv:0705.4527]. We introduce a SUSY formulation of the quantum Hall effect on
supermanifolds. On each of supersphere and superplane, we investigate SUSY
Landau problem and explicitly construct SUSY extensions of Laughlin
wavefunction and topological excitations. The non-anti-commutative geometry
naturally emerges in the lowest Landau level and brings particular physics to
the SUSY quantum Hall effect. It is shown that SUSY provides a unified picture
of the original Laughlin and Moore-Read states. Based on the charge-flux
duality, we also develop a Chern-Simons effective field theory for the SUSY
quantum Hall effect.
|
[
{
"created": "Mon, 1 Oct 2007 08:55:18 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Feb 2008 07:44:08 GMT",
"version": "v2"
}
] |
2008-04-25
|
[
[
"Hasebe",
"Kazuki",
""
]
] |
We review the recent developments of the SUSY quantum Hall effect [hep-th/0409230, hep-th/0411137, hep-th/0503162, hep-th/0606007, arXiv:0705.4527]. We introduce a SUSY formulation of the quantum Hall effect on supermanifolds. On each of supersphere and superplane, we investigate SUSY Landau problem and explicitly construct SUSY extensions of Laughlin wavefunction and topological excitations. The non-anti-commutative geometry naturally emerges in the lowest Landau level and brings particular physics to the SUSY quantum Hall effect. It is shown that SUSY provides a unified picture of the original Laughlin and Moore-Read states. Based on the charge-flux duality, we also develop a Chern-Simons effective field theory for the SUSY quantum Hall effect.
|
1810.03630
|
Gideon Vos
|
Gideon Vos
|
Vacuum block thermalization in semi-classical 2d CFT
|
1 figure, 31 pages, v2: fixed typos, added references
| null |
10.1007/JHEP02(2019)022
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The universal nature of black hole collapse in asymptotically $AdS_3$
gravitational theories suggests that its holographic dual process,
thermalization, should similarly be fixed by the universal features of 2d CFT
with large central charge $c$. It is known that non-equilibrium states with
scaling dimensions of order $c$ can be sorted into states that eventually
thermalize and those that fail to do so. By proving an equivalence between
bounded Virasoro coadjoint orbits and certain (in)stability intervals of Hill's
equation it is shown that a state that fails to thermalize can be promoted to a
thermalizing state by preparing the system beforehand with an energy greater
than an appropriate threshold energy. It is generally a difficult problem to
ascertain whether a state will thermalize or not. As partial progress to this
problem a set of lower bounds are presented for the treshold energy, which can
alternatively be interpreted as criteria for thermalization.
|
[
{
"created": "Mon, 8 Oct 2018 18:00:55 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Nov 2018 15:12:27 GMT",
"version": "v2"
}
] |
2019-02-20
|
[
[
"Vos",
"Gideon",
""
]
] |
The universal nature of black hole collapse in asymptotically $AdS_3$ gravitational theories suggests that its holographic dual process, thermalization, should similarly be fixed by the universal features of 2d CFT with large central charge $c$. It is known that non-equilibrium states with scaling dimensions of order $c$ can be sorted into states that eventually thermalize and those that fail to do so. By proving an equivalence between bounded Virasoro coadjoint orbits and certain (in)stability intervals of Hill's equation it is shown that a state that fails to thermalize can be promoted to a thermalizing state by preparing the system beforehand with an energy greater than an appropriate threshold energy. It is generally a difficult problem to ascertain whether a state will thermalize or not. As partial progress to this problem a set of lower bounds are presented for the treshold energy, which can alternatively be interpreted as criteria for thermalization.
|
2301.13198
|
Sanjit Shashi
|
Saba Asif Baig, Sanjit Shashi
|
Transport across interfaces in symmetric orbifolds
|
30 pages + references, 6 figures; v3: clarifying rewrites made to
Section 2, including new discussion on twisted-sector boundary data, the role
of extended symmetry currents, the relationship between the ICFT and BCFT
pictures, and altered notation; new statements about transport at the
orbifold point; some changes to presentation in abstract and Section 3; core
results are unchanged
| null |
10.1007/JHEP10(2023)168
|
UTWI-02-2023
|
hep-th cond-mat.stat-mech gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine how conformal boundaries encode energy transport coefficients --
namely transmission and reflection probabilities -- of corresponding conformal
interfaces in symmetric orbifold theories. These constitute a large class of
irrational theories and are closely related to holographic setups. Our central
goal is to compare such coefficients at the orbifold point (a field theory
calculation) against their values when the orbifold is highly deformed (a
gravity calculation) -- an approach akin to past AdS/CFT-guided comparisons of
physical quantities at strong versus weak coupling. At the orbifold point, we
find that the (weighted-average) transport coefficients are simply averages of
coefficients in the underlying seed theory. We then focus on the symmetric
orbifold of the $\mathbb{T}^4$ sigma model interface CFT dual to type IIB
supergravity on the 3d Janus solution. We compare the holographic transmission
coefficient, which was found by [1], to that of the orbifold point. We find
that the profile of the transmission coefficient substantially increases with
the coupling, in contrast to boundary entropy. We also present some related
ideas about twisted-sector data encoded by boundary states.
|
[
{
"created": "Mon, 30 Jan 2023 18:59:45 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Feb 2023 02:24:50 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Oct 2023 19:18:38 GMT",
"version": "v3"
}
] |
2023-11-01
|
[
[
"Baig",
"Saba Asif",
""
],
[
"Shashi",
"Sanjit",
""
]
] |
We examine how conformal boundaries encode energy transport coefficients -- namely transmission and reflection probabilities -- of corresponding conformal interfaces in symmetric orbifold theories. These constitute a large class of irrational theories and are closely related to holographic setups. Our central goal is to compare such coefficients at the orbifold point (a field theory calculation) against their values when the orbifold is highly deformed (a gravity calculation) -- an approach akin to past AdS/CFT-guided comparisons of physical quantities at strong versus weak coupling. At the orbifold point, we find that the (weighted-average) transport coefficients are simply averages of coefficients in the underlying seed theory. We then focus on the symmetric orbifold of the $\mathbb{T}^4$ sigma model interface CFT dual to type IIB supergravity on the 3d Janus solution. We compare the holographic transmission coefficient, which was found by [1], to that of the orbifold point. We find that the profile of the transmission coefficient substantially increases with the coupling, in contrast to boundary entropy. We also present some related ideas about twisted-sector data encoded by boundary states.
|
hep-th/9901069
|
Kirill Krasnov
|
L. Freidel, K. Krasnov, R. Puzio (Penn State)
|
BF Description of Higher-Dimensional Gravity Theories
|
26 pages, Revtex; minor changes
|
Adv.Theor.Math.Phys. 3 (1999) 1289-1324
| null |
CGPG-99/1-1
|
hep-th gr-qc
| null |
It is well known that, in the first-order formalism, pure three-dimensional
gravity is just the BF theory. Similarly, four-dimensional general relativity
can be formulated as BF theory with an additional constraint term added to the
Lagrangian. In this paper we show that the same is true also for
higher-dimensional Einstein gravity: in any dimension gravity can be described
as a constrained BF theory. Moreover, in any dimension these constraints are
quadratic in the B field. After describing in details the structure of these
constraints, we scketch the ``spin foam'' quantization of these theories, which
proves to be quite similar to the spin foam quantization of general relativity
in three and four dimensions. In particular, in any dimension, we solve the
quantum constraints and find the so-called simple representations and
intertwiners. These exhibit a simple and beautiful structure that is common to
all dimensions.
|
[
{
"created": "Sun, 17 Jan 1999 19:43:45 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Jan 1999 21:46:21 GMT",
"version": "v2"
},
{
"created": "Sun, 25 Jul 1999 18:53:35 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Freidel",
"L.",
"",
"Penn State"
],
[
"Krasnov",
"K.",
"",
"Penn State"
],
[
"Puzio",
"R.",
"",
"Penn State"
]
] |
It is well known that, in the first-order formalism, pure three-dimensional gravity is just the BF theory. Similarly, four-dimensional general relativity can be formulated as BF theory with an additional constraint term added to the Lagrangian. In this paper we show that the same is true also for higher-dimensional Einstein gravity: in any dimension gravity can be described as a constrained BF theory. Moreover, in any dimension these constraints are quadratic in the B field. After describing in details the structure of these constraints, we scketch the ``spin foam'' quantization of these theories, which proves to be quite similar to the spin foam quantization of general relativity in three and four dimensions. In particular, in any dimension, we solve the quantum constraints and find the so-called simple representations and intertwiners. These exhibit a simple and beautiful structure that is common to all dimensions.
|
1911.07852
|
Pratik Rath
|
Chris Akers and Pratik Rath
|
Entanglement Wedge Cross Sections Require Tripartite Entanglement
|
20 pages, 5 figures, comments added in v2
| null |
10.1007/JHEP04(2020)208
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue that holographic CFT states require a large amount of tripartite
entanglement, in contrast to the conjecture that their entanglement is mostly
bipartite. Our evidence is that this mostly-bipartite conjecture is in sharp
conflict with two well-supported conjectures about the entanglement wedge cross
section surface $E_W$. If $E_W$ is related to either the CFT's reflected
entropy or its entanglement of purification, then those quantities can differ
from the mutual information at $\mathcal{O}(\frac{1}{G_N})$. We prove that this
implies holographic CFT states must have $\mathcal{O}(\frac{1}{G_N})$ amounts
of tripartite entanglement. This proof involves a new Fannes-type inequality
for the reflected entropy, which itself has many interesting applications.
|
[
{
"created": "Mon, 18 Nov 2019 19:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Dec 2019 13:33:02 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Apr 2020 18:29:57 GMT",
"version": "v3"
}
] |
2020-05-20
|
[
[
"Akers",
"Chris",
""
],
[
"Rath",
"Pratik",
""
]
] |
We argue that holographic CFT states require a large amount of tripartite entanglement, in contrast to the conjecture that their entanglement is mostly bipartite. Our evidence is that this mostly-bipartite conjecture is in sharp conflict with two well-supported conjectures about the entanglement wedge cross section surface $E_W$. If $E_W$ is related to either the CFT's reflected entropy or its entanglement of purification, then those quantities can differ from the mutual information at $\mathcal{O}(\frac{1}{G_N})$. We prove that this implies holographic CFT states must have $\mathcal{O}(\frac{1}{G_N})$ amounts of tripartite entanglement. This proof involves a new Fannes-type inequality for the reflected entropy, which itself has many interesting applications.
|
hep-th/0406232
|
Maja Buric
|
M. Buric and J. Madore
|
Noncommutative 2-Dimensional Models of Gravity
|
28 pages, discussion on the geometry of the `fuzzy donut' completed
| null | null |
ESI preprint 1467
|
hep-th gr-qc
| null |
A review is given of some 2-dimensional metrics for which noncommutative
versions have been found. They serve partially to illustrate a noncommutative
extension of the moving-frame formalism. All of these models suggest that there
is an intimate relation between noncommutative geometry on the one hand and
classical gravity on the other.
|
[
{
"created": "Thu, 24 Jun 2004 20:14:14 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jan 2005 21:41:44 GMT",
"version": "v2"
},
{
"created": "Sat, 12 Feb 2005 14:27:16 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Buric",
"M.",
""
],
[
"Madore",
"J.",
""
]
] |
A review is given of some 2-dimensional metrics for which noncommutative versions have been found. They serve partially to illustrate a noncommutative extension of the moving-frame formalism. All of these models suggest that there is an intimate relation between noncommutative geometry on the one hand and classical gravity on the other.
|
hep-th/9906061
|
Ellwanger
|
U. Ellwanger (LPT Orsay)
|
Monopole Condensation and Antisymmetric Tensor Fields: Compact QED and
the Wilsonian RG Flow in Yang-Mills Theories
|
18 pages (LaTeX2e), 1 fig
|
Nucl.Phys. B560 (1999) 587-600
|
10.1016/S0550-3213(99)00460-5
|
Orsay LPTHE-99-24
|
hep-th
| null |
A field theoretic description of monopole condensation in strongly coupled
gauge theories is given by actions involving antisymmetric tensors B_{\mu\nu}
of rank 2. We rederive the corresponding action for 4d compact QED, summing
explicitly over all possible monopole configurations. Its gauge symmetries and
Ward identities are discussed. Then we consider the Wilsonian RGs for
Yang-Mills theories in the presence of collective fields (again tensors
B_{\mu\nu}) for the field strengths F_{\mu \nu} associated to the U(1)
subgroups. We show that a ``vector-like'' Ward identity for the Wilsonian
action involving B_{\mu\nu}, whose validity corresponds to monopole
condensation, constitutes a fixed point of the Wilsonian RG flow.
|
[
{
"created": "Tue, 8 Jun 1999 11:06:14 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Ellwanger",
"U.",
"",
"LPT Orsay"
]
] |
A field theoretic description of monopole condensation in strongly coupled gauge theories is given by actions involving antisymmetric tensors B_{\mu\nu} of rank 2. We rederive the corresponding action for 4d compact QED, summing explicitly over all possible monopole configurations. Its gauge symmetries and Ward identities are discussed. Then we consider the Wilsonian RGs for Yang-Mills theories in the presence of collective fields (again tensors B_{\mu\nu}) for the field strengths F_{\mu \nu} associated to the U(1) subgroups. We show that a ``vector-like'' Ward identity for the Wilsonian action involving B_{\mu\nu}, whose validity corresponds to monopole condensation, constitutes a fixed point of the Wilsonian RG flow.
|
0808.2853
|
Jose M. Gracia-Bondia
|
Jose M. Gracia-Bondia
|
Lectures on BRS invariance for massive boson fields
|
Proceedings of the Summer School "Geometric and topological methods
for quantum field theory", Villa de Leyva, Colombia; H. Ocampo, E. Pariguan
and S.Paycha, eds. Cambridge University Press, Cambridge, 2010; pp. 220-252.
Latex, 37 pages, no figures. With small corrections.
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
These notes correspond to lectures given at the Villa de Leyva Summer School
in Colombia (July 2007). Our main purpose in this short course on BRS
invariance of gauge theories is to illuminate corners of the theory left in the
shade by standard treatments. The plan is as follows. First a review of
Utiyama's "general gauge theory". Promptly we find a counterexample to it in
the shape of the massive spin-1 Stueckelberg gauge field. This is not fancy, as
the massive case is the most natural one to introduce BRS invariance in the
context of free quantum fields. Mathematically speaking, the first part of the
course uses Utiyama's notation, and thus has the flavour and non-intrinsic
notation of standard physics textbooks. Next we deal with boson fields on Fock
space and BRS invariance in connection with the existence of Krein operators;
the attending rigour points are then addressed.
|
[
{
"created": "Thu, 21 Aug 2008 03:20:28 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Apr 2010 16:31:36 GMT",
"version": "v2"
}
] |
2010-04-27
|
[
[
"Gracia-Bondia",
"Jose M.",
""
]
] |
These notes correspond to lectures given at the Villa de Leyva Summer School in Colombia (July 2007). Our main purpose in this short course on BRS invariance of gauge theories is to illuminate corners of the theory left in the shade by standard treatments. The plan is as follows. First a review of Utiyama's "general gauge theory". Promptly we find a counterexample to it in the shape of the massive spin-1 Stueckelberg gauge field. This is not fancy, as the massive case is the most natural one to introduce BRS invariance in the context of free quantum fields. Mathematically speaking, the first part of the course uses Utiyama's notation, and thus has the flavour and non-intrinsic notation of standard physics textbooks. Next we deal with boson fields on Fock space and BRS invariance in connection with the existence of Krein operators; the attending rigour points are then addressed.
|
1307.8094
|
Alexei Litvinov
|
A. V. Litvinov
|
On spectrum of ILW hierarchy in conformal field theory
| null |
JHEP 11 (2013) 155
|
10.1007/JHEP11(2013)155
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a system of Integrals of Motion in conformal field theory related
to the gl(2) Intermediate Long Wave equation. It interpolates between the
system studied by Bazhanov, Lukyanov and Zamolodchikov and the one studied by
the author and collaborators. We find Bethe anzatz equations for the spectrum
of this system and its gl(n) generalizations.
|
[
{
"created": "Tue, 30 Jul 2013 19:28:55 GMT",
"version": "v1"
}
] |
2013-11-25
|
[
[
"Litvinov",
"A. V.",
""
]
] |
We consider a system of Integrals of Motion in conformal field theory related to the gl(2) Intermediate Long Wave equation. It interpolates between the system studied by Bazhanov, Lukyanov and Zamolodchikov and the one studied by the author and collaborators. We find Bethe anzatz equations for the spectrum of this system and its gl(n) generalizations.
|
hep-th/0606220
|
Valentin V. Khoze
|
Chong-Sun Chu, George Georgiou, Valentin V. Khoze
|
Magnons, Classical Strings and beta-Deformations
|
v2: 15 pages. Improved and extended version, new section added with
more details on the interpretation of our solution
|
JHEP0611:093,2006
|
10.1088/1126-6708/2006/11/093
|
IPPP/06/37, DCPT/06/74
|
hep-th
| null |
Motivated by the recent work of Hofman and Maldacena we construct a classical
string solution on the beta-deformed AdS_5 \times \tilde{S}^5 background. This
string solution is identified with a magnon state of the integrable spin chain
description of the N=1 supersymmetric beta-deformed gauge theory. The string
solution carries two angular momenta, an infinite J_1 and a finite J_2 which
classically can take arbitrary values. It corresponds to the magnon of charge
J_2 propagating on an infinite spin chain. We derive an exact dispersion
relation for this magnon from string theory.
|
[
{
"created": "Thu, 22 Jun 2006 11:07:46 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Sep 2006 15:29:03 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Chu",
"Chong-Sun",
""
],
[
"Georgiou",
"George",
""
],
[
"Khoze",
"Valentin V.",
""
]
] |
Motivated by the recent work of Hofman and Maldacena we construct a classical string solution on the beta-deformed AdS_5 \times \tilde{S}^5 background. This string solution is identified with a magnon state of the integrable spin chain description of the N=1 supersymmetric beta-deformed gauge theory. The string solution carries two angular momenta, an infinite J_1 and a finite J_2 which classically can take arbitrary values. It corresponds to the magnon of charge J_2 propagating on an infinite spin chain. We derive an exact dispersion relation for this magnon from string theory.
|
1305.2916
|
Mark Wyman
|
Pierre Gratia, Wayne Hu, Mark Wyman
|
Self-accelerating Massive Gravity: How Zweibeins Walk through
Determinant Singularities
|
8 pages, no figures. v2: minor changes to reflect version published
in journal; invited contribution to Massive Gravity focus issue of CQG
|
Class. Quantum Grav. 30 (2013) 184007
|
10.1088/0264-9381/30/18/184007
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The theory of massive gravity possesses ambiguities when the spacetime metric
evolves far from the non-dynamical fiducial metric used to define it. We
explicitly construct a spherically symmetric example case where the metric
evolves to a coordinate-independent determinant singularity which does not
exist in the initial conditions. Both the metric and the vierbein formulation
of the theory are ill-defined at this point. In unitary gauge, the chart of the
spacetime ends at this point and does not cover the full spacetime whereas the
spherically symmetric vierbeins, or zweibeins, of the fiducial metric become
non-invertible and do not describe a valid metric. Nonetheless it is possible
to continuously join a zweibein solution on the other side of the singularity
which picks one of the degenerate solutions of the metric square root. This
continuous solution is not the choice conventionally made in the previous
literature. We also show that the Stueckelberg equations of motion on the
self-accelerating branch prevent solutions from evolving to a more pathological
situation in which the spacetime vierbeins lack a crucial symmetry with the
fiducial vierbeins and real square roots fail to exist.
|
[
{
"created": "Mon, 13 May 2013 20:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Nov 2013 19:23:38 GMT",
"version": "v2"
}
] |
2013-11-28
|
[
[
"Gratia",
"Pierre",
""
],
[
"Hu",
"Wayne",
""
],
[
"Wyman",
"Mark",
""
]
] |
The theory of massive gravity possesses ambiguities when the spacetime metric evolves far from the non-dynamical fiducial metric used to define it. We explicitly construct a spherically symmetric example case where the metric evolves to a coordinate-independent determinant singularity which does not exist in the initial conditions. Both the metric and the vierbein formulation of the theory are ill-defined at this point. In unitary gauge, the chart of the spacetime ends at this point and does not cover the full spacetime whereas the spherically symmetric vierbeins, or zweibeins, of the fiducial metric become non-invertible and do not describe a valid metric. Nonetheless it is possible to continuously join a zweibein solution on the other side of the singularity which picks one of the degenerate solutions of the metric square root. This continuous solution is not the choice conventionally made in the previous literature. We also show that the Stueckelberg equations of motion on the self-accelerating branch prevent solutions from evolving to a more pathological situation in which the spacetime vierbeins lack a crucial symmetry with the fiducial vierbeins and real square roots fail to exist.
|
0910.3053
|
Shuichiro Yokoyama
|
Masahiro Kawasaki, Tomo Takahashi, Shuichiro Yokoyama
|
Density Fluctuations in Thermal Inflation and Non-Gaussianity
|
15 pages, 1 figures, minor changes
|
JCAP 0912:012,2009
|
10.1088/1475-7516/2009/12/012
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider primordial fluctuations in thermal inflation scenario. Since the
thermal inflation drives about 10 $e$-folds after the standard inflation, the
time of horizon-exit during inflation corresponding to the present
observational scale shifts toward the end of inflation. It generally makes the
primordial power spectrum more deviated from a scale-invariant one and hence
renders some models inconsistent with observations. We present a mechanism of
generating the primordial curvature perturbation at the end of thermal
inflation utilizing a fluctuating coupling of a flaton field with the fields in
thermal bath. We show that, by adopting the mechanism, some inflation models
can be liberated even in the presence of the thermal inflation. We also discuss
non-Gaussianity in the mechanism and show that large non-Gaussianity can be
generated in this scenario.
|
[
{
"created": "Fri, 16 Oct 2009 08:23:28 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Oct 2009 09:07:50 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Nov 2009 01:19:06 GMT",
"version": "v3"
}
] |
2010-02-18
|
[
[
"Kawasaki",
"Masahiro",
""
],
[
"Takahashi",
"Tomo",
""
],
[
"Yokoyama",
"Shuichiro",
""
]
] |
We consider primordial fluctuations in thermal inflation scenario. Since the thermal inflation drives about 10 $e$-folds after the standard inflation, the time of horizon-exit during inflation corresponding to the present observational scale shifts toward the end of inflation. It generally makes the primordial power spectrum more deviated from a scale-invariant one and hence renders some models inconsistent with observations. We present a mechanism of generating the primordial curvature perturbation at the end of thermal inflation utilizing a fluctuating coupling of a flaton field with the fields in thermal bath. We show that, by adopting the mechanism, some inflation models can be liberated even in the presence of the thermal inflation. We also discuss non-Gaussianity in the mechanism and show that large non-Gaussianity can be generated in this scenario.
|
hep-th/0106008
|
Selena Ng
|
Selena Ng and Malcolm Perry
|
Brane Splitting via Quantum Tunneling
|
23 pages, 1 figure, LaTeX; v3: Minor clarifications and references
added. Comments on self-dual field strengths added in Section 5.2, and on
entropy in the final section. Version to appear in Nuclear Physics B
|
Nucl.Phys. B634 (2002) 209-229
|
10.1016/S0550-3213(02)00346-2
|
DAMTP-2001-52
|
hep-th gr-qc
| null |
We study the two-centred AdS_7 x S^4 solution of eleven-dimensional
supergravity using the Euclidean path-integral approach, and find that it can
be interpreted as an instanton, signalling the splitting of the throat of the
M5 brane. The instanton is interpreted as indicating a coherent superposition
of the quantum states corresponding to classically distinct solutions. This is
a surprising result since it leads, through the AdS/CFT correspondence, to
contradictory implications for the dual (2,0) superconformal field theory on
the M5 brane. We also argue that similar instantons should exist for other
branes in ten- and eleven-dimensional supergravity. The counterterm subtraction
technique for gravitational instantons, which arose from the AdS/CFT
correspondence, is examined in terms of its applicability to our results.
Connections are also made to the work of Maldacena et al on anti-de Sitter
fragmentation.
|
[
{
"created": "Fri, 1 Jun 2001 17:59:24 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Jun 2001 16:34:33 GMT",
"version": "v2"
},
{
"created": "Fri, 26 Apr 2002 18:33:59 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Ng",
"Selena",
""
],
[
"Perry",
"Malcolm",
""
]
] |
We study the two-centred AdS_7 x S^4 solution of eleven-dimensional supergravity using the Euclidean path-integral approach, and find that it can be interpreted as an instanton, signalling the splitting of the throat of the M5 brane. The instanton is interpreted as indicating a coherent superposition of the quantum states corresponding to classically distinct solutions. This is a surprising result since it leads, through the AdS/CFT correspondence, to contradictory implications for the dual (2,0) superconformal field theory on the M5 brane. We also argue that similar instantons should exist for other branes in ten- and eleven-dimensional supergravity. The counterterm subtraction technique for gravitational instantons, which arose from the AdS/CFT correspondence, is examined in terms of its applicability to our results. Connections are also made to the work of Maldacena et al on anti-de Sitter fragmentation.
|
hep-th/9604077
|
Ignatios Antoniadis
|
I. Antoniadis, E. Gava, K.S. Narain and T.R. Taylor
|
Topological Amplitudes in Heterotic Superstring Theory
|
LaTeX, 60 pages, 2 PS figures
|
Nucl.Phys. B476 (1996) 133-174
|
10.1016/0550-3213(96)00349-5
|
CPTH-S446.0496, IC/96/59, NUB-3126
|
hep-th
| null |
We show that certain heterotic string amplitudes are given in terms of
correlators of the twisted topological (2,0) SCFT, corresponding to the
internal sector of the N=1 spacetime supersymmetric background. The genus g
topological partition function $F^g$ corresponds to a term in the effective
action of the form $W^{2g}$, where W is the gauge or gravitational superfield.
We study also recursion relations related to holomorphic anomalies, showing
that, contrary to the type II case, they involve correlators of anti-chiral
superfields. The corresponding terms in the effective action are of the form
$W^{2g}\Pi^n$, where $\Pi$ is a chiral superfield obtained by chiral projection
of a general superfield. We observe that the structure of the recursion
relations is that of N=1 spacetime supersymmetry Ward identity. We give also a
solution of the tree level recursion relations and discuss orbifold examples.
|
[
{
"created": "Mon, 15 Apr 1996 16:25:04 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Antoniadis",
"I.",
""
],
[
"Gava",
"E.",
""
],
[
"Narain",
"K. S.",
""
],
[
"Taylor",
"T. R.",
""
]
] |
We show that certain heterotic string amplitudes are given in terms of correlators of the twisted topological (2,0) SCFT, corresponding to the internal sector of the N=1 spacetime supersymmetric background. The genus g topological partition function $F^g$ corresponds to a term in the effective action of the form $W^{2g}$, where W is the gauge or gravitational superfield. We study also recursion relations related to holomorphic anomalies, showing that, contrary to the type II case, they involve correlators of anti-chiral superfields. The corresponding terms in the effective action are of the form $W^{2g}\Pi^n$, where $\Pi$ is a chiral superfield obtained by chiral projection of a general superfield. We observe that the structure of the recursion relations is that of N=1 spacetime supersymmetry Ward identity. We give also a solution of the tree level recursion relations and discuss orbifold examples.
|
hep-th/0103081
|
Zygmunt Lalak
|
Zygmunt Lalak
|
Supersymmetry and Vacuum Energy in Five-Dimensional Brane Worlds
|
10 pages, Latex, talk given at SUSY2K, CERN, June 2000 and at
``Thirty Years of Supersymmetry'', Minneapolis, October 2000. To be published
in the proceedings of ``Thirty Years of Supersymmetry''
|
Nucl.Phys.Proc.Suppl. 101 (2001) 366-374
|
10.1016/S0920-5632(01)01522-5
|
CERN-TH/2001-068
|
hep-th
| null |
We present the explicit form of the four-dimensional effective supergravity
action which describes low-energy physics of the Randall--Sundrum model with
moduli fields in the bulk and charged chiral matter living on the branes. The
low-energy action is derived from the compactification of a locally
supersymmetric model in five dimension. We describe the mechanism of
supersymmetry breaking mediation which relies on the non-trivial configuration
of the $Z_2$-odd bulk fields. Broken supersymmetry leads to stabilization of
the interbrane distance.
|
[
{
"created": "Mon, 12 Mar 2001 13:18:20 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Lalak",
"Zygmunt",
""
]
] |
We present the explicit form of the four-dimensional effective supergravity action which describes low-energy physics of the Randall--Sundrum model with moduli fields in the bulk and charged chiral matter living on the branes. The low-energy action is derived from the compactification of a locally supersymmetric model in five dimension. We describe the mechanism of supersymmetry breaking mediation which relies on the non-trivial configuration of the $Z_2$-odd bulk fields. Broken supersymmetry leads to stabilization of the interbrane distance.
|
1311.7299
|
De-Cheng Zou
|
De-Cheng Zou, Shao-Jun Zhang, Bin Wang
|
Critical behavior of Born-Infeld AdS black holes in the extended phase
space thermodynamics
|
20 pages, 37 figures, new version, appeared in Phys. Rev. D 89,
044002 (2014)
|
Phys. Rev. D 89, 044002 (2014)
|
10.1103/PhysRevD.89.044002
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the thermodynamics of $D$-dimensional Born-Infeld AdS black holes in
the extended phase space. We find that the usual small-large black hole phase
transition, which exhibits analogy with the Van de Waals liquid-gas system
holds in all dimensions greater than three. However, different from the
four-dimensional case, in the system of higher dimensional Born-Infeld AdS
black holes there is no reentrant phase transition. For the three-dimensional
Born-Infeld AS black hole, there does not exist critical phenomena.
|
[
{
"created": "Thu, 28 Nov 2013 12:27:17 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Feb 2014 03:02:13 GMT",
"version": "v2"
}
] |
2014-02-12
|
[
[
"Zou",
"De-Cheng",
""
],
[
"Zhang",
"Shao-Jun",
""
],
[
"Wang",
"Bin",
""
]
] |
We study the thermodynamics of $D$-dimensional Born-Infeld AdS black holes in the extended phase space. We find that the usual small-large black hole phase transition, which exhibits analogy with the Van de Waals liquid-gas system holds in all dimensions greater than three. However, different from the four-dimensional case, in the system of higher dimensional Born-Infeld AdS black holes there is no reentrant phase transition. For the three-dimensional Born-Infeld AS black hole, there does not exist critical phenomena.
|
1908.03425
|
Olindo Corradini
|
Naser Ahmadiniaz, Filippo Maria Balli, Olindo Corradini, Jos\'e Manuel
D\'avila and Christian Schubert
|
Compton-like scattering of a scalar particle with N photons and one
graviton
|
21 pages, 3 figures. Footnote added in Section 3 to clarify on the
adopted (worldline) minimal coupling between the scalar particle and gravity;
it differs from the published version only on this. Dedicated to the memory
of Corneliu Sochichiu
| null |
10.1016/j.nuclphysb.2019.114877
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Tree-level scattering amplitudes for a scalar particle coupled to an
arbitrary number N of photons and a single graviton are computed. We employ the
worldline formalism as the main tool to compute the irreducible part of the
amplitude, where all the photons and the graviton are directly attached to the
scalar line, then derive a tree replacement rule to construct the reducible
parts of the amplitude which involve irreducible pure N-photon two-scalar
amplitudes where one photon line emits the graviton. We test our construction
by verifying the on-shell gauge and diffeomorphism Ward identities, at
arbitrary N.
|
[
{
"created": "Fri, 9 Aug 2019 12:01:36 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Dec 2019 14:34:05 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Aug 2020 11:57:32 GMT",
"version": "v3"
}
] |
2020-08-04
|
[
[
"Ahmadiniaz",
"Naser",
""
],
[
"Balli",
"Filippo Maria",
""
],
[
"Corradini",
"Olindo",
""
],
[
"Dávila",
"José Manuel",
""
],
[
"Schubert",
"Christian",
""
]
] |
Tree-level scattering amplitudes for a scalar particle coupled to an arbitrary number N of photons and a single graviton are computed. We employ the worldline formalism as the main tool to compute the irreducible part of the amplitude, where all the photons and the graviton are directly attached to the scalar line, then derive a tree replacement rule to construct the reducible parts of the amplitude which involve irreducible pure N-photon two-scalar amplitudes where one photon line emits the graviton. We test our construction by verifying the on-shell gauge and diffeomorphism Ward identities, at arbitrary N.
|
1302.3329
|
Ennio Gozzi
|
E.Cattaruzza, E.Gozzi, A.Francisco Neto
|
Least-action principle and path-integral for classical mechanics
|
to appear IN PHYS.REV.D (Brief Report)
|
Phys. Rev.D 87, 067501 (2013)
|
10.1103/PhysRevD.87.067501
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we show how the equations of motion of a superfield, which
makes its appearance in a path-integral approach to classical mechanics, can be
derived without the need of the least-action principle
|
[
{
"created": "Thu, 14 Feb 2013 07:51:04 GMT",
"version": "v1"
}
] |
2015-06-15
|
[
[
"Cattaruzza",
"E.",
""
],
[
"Gozzi",
"E.",
""
],
[
"Neto",
"A. Francisco",
""
]
] |
In this paper we show how the equations of motion of a superfield, which makes its appearance in a path-integral approach to classical mechanics, can be derived without the need of the least-action principle
|
hep-th/0605243
|
Michael A. Soloviev
|
Michael A. Soloviev (Lebedev Physical Institute)
|
PCT, spin and statistics, and analytic wave front set
|
LaTeX, 23 pages, no figures. This version is identical to the
original published paper, but with corrected typos and slight improvements in
the exposition. The proof of Theorem 5 stated in the paper has been published
in J. Math. Phys. 45 (2004) 1944-1958
|
Theor.Math.Phys.121:1377-1396,1999; Teor.Mat.Fiz.121:139-164,1999
|
10.1007/BF02557234
|
Teor.Mat.Fiz. 121 (1999) 139-164
|
hep-th
| null |
A new, more general derivation of the spin-statistics and PCT theorems is
presented. It uses the notion of the analytic wave front set of
(ultra)distributions and, in contrast to the usual approach, covers nonlocal
quantum fields. The fields are defined as generalized functions with test
functions of compact support in momentum space. The vacuum expectation values
are thereby admitted to be arbitrarily singular in their space-time dependence.
The local commutativity condition is replaced by an asymptotic commutativity
condition, which develops generalizations of the microcausality axiom
previously proposed.
|
[
{
"created": "Wed, 24 May 2006 11:37:19 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Soloviev",
"Michael A.",
"",
"Lebedev Physical Institute"
]
] |
A new, more general derivation of the spin-statistics and PCT theorems is presented. It uses the notion of the analytic wave front set of (ultra)distributions and, in contrast to the usual approach, covers nonlocal quantum fields. The fields are defined as generalized functions with test functions of compact support in momentum space. The vacuum expectation values are thereby admitted to be arbitrarily singular in their space-time dependence. The local commutativity condition is replaced by an asymptotic commutativity condition, which develops generalizations of the microcausality axiom previously proposed.
|
1109.5057
|
Stephen G. Naculich
|
Johannes M. Henn, Sven Moch, and Stephen G. Naculich
|
Form factors and scattering amplitudes in N=4 SYM in dimensional and
massive regularizations
|
29 pages, 4 figures; v2: references added
| null |
10.1007/JHEP12(2011)024
|
HU-EP-11-41, DESY-11-148, BOW-PH-150, NSF-KITP-11-197
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The IR-divergent scattering amplitudes of N=4 supersymmetric Yang-Mills
theory can be regulated in a variety of ways, including dimensional
regularization and massive (or Higgs) regularization. The IR-finite part of an
amplitude in different regularizations generally differs by an additive
constant at each loop order, due to the ambiguity in separating finite and
divergent contributions. We give a prescription for defining an unambiguous,
regulator-independent finite part of the amplitude by factoring off a product
of IR-divergent "wedge" functions. For the cases of dimensional regularization
and the common-mass Higgs regulator, we define the wedge function in terms of a
form factor, and demonstrate the regularization independence of the n-point
amplitude through two loops. We also deduce the form of the wedge function for
the more general differential-mass Higgs regulator, although we lack an
explicit operator definition in this case. Finally, using extended dual
conformal symmetry, we demonstrate the link between the differential-mass wedge
function and the anomalous dual conformal Ward identity for the finite part of
the scattering amplitude.
|
[
{
"created": "Fri, 23 Sep 2011 12:50:36 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Oct 2011 19:24:39 GMT",
"version": "v2"
}
] |
2015-05-30
|
[
[
"Henn",
"Johannes M.",
""
],
[
"Moch",
"Sven",
""
],
[
"Naculich",
"Stephen G.",
""
]
] |
The IR-divergent scattering amplitudes of N=4 supersymmetric Yang-Mills theory can be regulated in a variety of ways, including dimensional regularization and massive (or Higgs) regularization. The IR-finite part of an amplitude in different regularizations generally differs by an additive constant at each loop order, due to the ambiguity in separating finite and divergent contributions. We give a prescription for defining an unambiguous, regulator-independent finite part of the amplitude by factoring off a product of IR-divergent "wedge" functions. For the cases of dimensional regularization and the common-mass Higgs regulator, we define the wedge function in terms of a form factor, and demonstrate the regularization independence of the n-point amplitude through two loops. We also deduce the form of the wedge function for the more general differential-mass Higgs regulator, although we lack an explicit operator definition in this case. Finally, using extended dual conformal symmetry, we demonstrate the link between the differential-mass wedge function and the anomalous dual conformal Ward identity for the finite part of the scattering amplitude.
|
hep-th/9802048
|
Kubyshin
|
J.M. Aroca and Yu.A. Kubyshin
|
Study of Wilson loop functionals in 2D Yang-Mills theories
|
19 pages, Latex, 2 Postscript figures, uses epsfig.sty. Contribution
to the Proceedings of the XIIth Workshop on High Energy Physics and Quantum
Field Theory (Samara, Russia, September 4-10, 1997). (in the revised version
typographical errors are corrected and references are updated)
| null | null | null |
hep-th
| null |
The derivation of the explicit formula for the vacuum expectation value of
the Wilson loop functional for an arbitrary gauge group on an arbitrary
orientable two-dimensional manifold is considered both in the continuum case
and on the lattice. A contribution to this quantity, coming from the space of
invariant connections, is also analyzed and is shown to be similar to the
contribution of monopoles.
|
[
{
"created": "Sun, 8 Feb 1998 15:22:01 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Nov 1998 16:19:25 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Aroca",
"J. M.",
""
],
[
"Kubyshin",
"Yu. A.",
""
]
] |
The derivation of the explicit formula for the vacuum expectation value of the Wilson loop functional for an arbitrary gauge group on an arbitrary orientable two-dimensional manifold is considered both in the continuum case and on the lattice. A contribution to this quantity, coming from the space of invariant connections, is also analyzed and is shown to be similar to the contribution of monopoles.
|
hep-th/9603021
| null |
Ivan G. Avramidi, Giampiero Esposito and Alexander Yu. Kamenshchik
|
Boundary Operators in Euclidean Quantum Gravity
|
29 pages, plain-tex. In this revised version, the analysis of the
self-adjointness problem with Barvinsky boundary conditions has been amended.
For this purpose, section 4 has been completely revised, and a new section
has been added. The literature on the axial gauge is also described
|
Class.Quant.Grav. 13 (1996) 2361-2374
|
10.1088/0264-9381/13/9/004
|
DSF preprint 96/10
|
hep-th
| null |
Gauge-invariant boundary conditions in Euclidean quantum gravity can be
obtained by setting to zero at the boundary the spatial components of metric
perturbations, and a suitable class of gauge-averaging functionals. This paper
shows that, on choosing the de Donder functional, the resulting boundary
operator involves projection operators jointly with a nilpotent operator.
Moreover, the elliptic operator acting on metric perturbations is symmetric.
Other choices of mixed boundary conditions, for which the normal components of
metric perturbations can be set to zero at the boundary, are then analyzed in
detail. Last, the evaluation of the 1-loop divergence in the axial gauge for
gravity is obtained. Interestingly, such a divergence turns out to coincide
with the one resulting from transverse-traceless perturbations.
|
[
{
"created": "Tue, 5 Mar 1996 13:47:13 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Jun 1996 09:42:19 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Avramidi",
"Ivan G.",
""
],
[
"Esposito",
"Giampiero",
""
],
[
"Kamenshchik",
"Alexander Yu.",
""
]
] |
Gauge-invariant boundary conditions in Euclidean quantum gravity can be obtained by setting to zero at the boundary the spatial components of metric perturbations, and a suitable class of gauge-averaging functionals. This paper shows that, on choosing the de Donder functional, the resulting boundary operator involves projection operators jointly with a nilpotent operator. Moreover, the elliptic operator acting on metric perturbations is symmetric. Other choices of mixed boundary conditions, for which the normal components of metric perturbations can be set to zero at the boundary, are then analyzed in detail. Last, the evaluation of the 1-loop divergence in the axial gauge for gravity is obtained. Interestingly, such a divergence turns out to coincide with the one resulting from transverse-traceless perturbations.
|
1709.09537
|
Farook Rahaman
|
Alireza Sepehri, Richard Pincak, Michal Hnati\v{c}, Farook Rahaman,
Anirudh Pradhan
|
Quarkonium in a thermal BIon
|
29 pages, 5 figures. Accepted in Can.J.Phys
| null |
10.1139/cjp-2017-0049
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the present article, the authors intend to propose a new theory which
potentially allows the propagation of the formation and the evolution of
quarkonium in a thermal BIon. When quarks are close to each other, quarkonium
behaves like a scalar and by their getting away, it transits to a fermionic
system. In order to analyze this particular behaviour, a new outlook approach
needs to be adopted as the concurrent view is found deficient to analyse the
aforesaid behaviour. Therefore, the authors' post deliberation accept the
fermions and fermionic being cognate. We need to accept a theory that the
origin of fermions and bosons be the same. However, in $M$-theory, these
particles are independent and for this reason, \textbf{we use a new broader
theory based on Lie-$N$-Algebra and we call it BLNA (Broad Lie-$N$-Algebra)}
theory. Thus, the BLNA in a way the $M$-theory with $11$ dimensions. In this
model, two types of energies with opposite signs emerge from nothing such as
the sum over them becomes zero. They produce two types of branes with opposite
quantum numbers and bosonic fields, which interact with each other and get
compact. By compacting branes, the quarks and anti-quarks are produced on
branes and exchange the graviton and the gravitino. These particles produce two
types of wormholes which act opposite to each other. They preclude from closing
or getting away of branes from each other and also occurrence of confinement.
This confined potential which emerges from these wormholes depends on the
separation distance between quarks and anti-quarks and also on temperature of
system and is reduced to predicted potential in experiments and QCD. Also,
total entropy of this system grows with increasing temperature and produces a
repulsive force which leads to the separation of quarks and anti-quarks and
also to the emergence of deconfinement.
|
[
{
"created": "Tue, 12 Sep 2017 15:09:00 GMT",
"version": "v1"
}
] |
2019-08-13
|
[
[
"Sepehri",
"Alireza",
""
],
[
"Pincak",
"Richard",
""
],
[
"Hnatič",
"Michal",
""
],
[
"Rahaman",
"Farook",
""
],
[
"Pradhan",
"Anirudh",
""
]
] |
In the present article, the authors intend to propose a new theory which potentially allows the propagation of the formation and the evolution of quarkonium in a thermal BIon. When quarks are close to each other, quarkonium behaves like a scalar and by their getting away, it transits to a fermionic system. In order to analyze this particular behaviour, a new outlook approach needs to be adopted as the concurrent view is found deficient to analyse the aforesaid behaviour. Therefore, the authors' post deliberation accept the fermions and fermionic being cognate. We need to accept a theory that the origin of fermions and bosons be the same. However, in $M$-theory, these particles are independent and for this reason, \textbf{we use a new broader theory based on Lie-$N$-Algebra and we call it BLNA (Broad Lie-$N$-Algebra)} theory. Thus, the BLNA in a way the $M$-theory with $11$ dimensions. In this model, two types of energies with opposite signs emerge from nothing such as the sum over them becomes zero. They produce two types of branes with opposite quantum numbers and bosonic fields, which interact with each other and get compact. By compacting branes, the quarks and anti-quarks are produced on branes and exchange the graviton and the gravitino. These particles produce two types of wormholes which act opposite to each other. They preclude from closing or getting away of branes from each other and also occurrence of confinement. This confined potential which emerges from these wormholes depends on the separation distance between quarks and anti-quarks and also on temperature of system and is reduced to predicted potential in experiments and QCD. Also, total entropy of this system grows with increasing temperature and produces a repulsive force which leads to the separation of quarks and anti-quarks and also to the emergence of deconfinement.
|
0711.2788
|
Voja Radovanovic
|
V. Radovanovic, M.Buric and J. Trampetic
|
The one-loop renormalization of the gauge sector in the \theta-expanded
noncommutative standard model
|
12 pages,Talk delivered by Voja Radovanovic at '4th Summer School in
Modern Mathematical Physics', Belgrade, Sept. 3-14, 2006, published in SFIN
(year XX) No.A1, 159 (2007)
|
SFIN.a1:159,2007
| null | null |
hep-th
| null |
In this paper we construct a version of the standard model gauge sector on
noncommutative space-time which is one-loop renormalizable to first order in
the expansion in the noncommutativity parameter $\theta$.
|
[
{
"created": "Sun, 18 Nov 2007 14:28:25 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Radovanovic",
"V.",
""
],
[
"Buric",
"M.",
""
],
[
"Trampetic",
"J.",
""
]
] |
In this paper we construct a version of the standard model gauge sector on noncommutative space-time which is one-loop renormalizable to first order in the expansion in the noncommutativity parameter $\theta$.
|
hep-th/0207156
|
Jim Cline
|
James M. Cline, Hassan Firouzjahi, Patrick Martineau
|
Reheating from Tachyon Condensation
|
20 pages, 10 figures; corrected discussion of kink-antikink formation
|
JHEP0211:041,2002
|
10.1088/1126-6708/2002/11/041
|
McGill 02-21
|
hep-th hep-ph
| null |
We argue that it may be possible to reheat the universe after inflation
driven by D-brane annihilation, due to the coupling of massless fields to the
time-dependent tachyon condensate which describes the annihilation process.
This mechanism can work if the original branes annihilate to a stable brane
containing the standard model. Given reasonable assumptions about the shape of
the tachyon background configuration and the size of the relevant extra
dimension, the reheating can be efficient enough to overcome the problem of the
universe being perpetually dominated by cold dark tachyon matter. In
particular, reheating is most efficient when the final brane codimension is
large, and when the derivatives of the tachyon background are large.
|
[
{
"created": "Wed, 17 Jul 2002 18:11:54 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jul 2002 04:48:33 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Sep 2002 20:14:42 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Cline",
"James M.",
""
],
[
"Firouzjahi",
"Hassan",
""
],
[
"Martineau",
"Patrick",
""
]
] |
We argue that it may be possible to reheat the universe after inflation driven by D-brane annihilation, due to the coupling of massless fields to the time-dependent tachyon condensate which describes the annihilation process. This mechanism can work if the original branes annihilate to a stable brane containing the standard model. Given reasonable assumptions about the shape of the tachyon background configuration and the size of the relevant extra dimension, the reheating can be efficient enough to overcome the problem of the universe being perpetually dominated by cold dark tachyon matter. In particular, reheating is most efficient when the final brane codimension is large, and when the derivatives of the tachyon background are large.
|
hep-th/0303169
| null |
A. Shishanin, I. Ziyatdinov (Moscow State University)
|
Parquet Approximation for Large N Matrix Higgs Model
|
15 pages, LaTeX; content added, typos corrected
|
JHEP 0307 (2003) 032
|
10.1088/1126-6708/2003/07/032
| null |
hep-th
| null |
The parquet approximation in the matrix Higgs model is considered. We
demonstrate analytically that in the large $N$ limit the parquet approximation
gives an satisfying agreement with the exact results. It is shown that the
parquet planar series can be derived by means of the generating functional.
|
[
{
"created": "Wed, 19 Mar 2003 17:19:19 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Apr 2003 14:00:50 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Shishanin",
"A.",
"",
"Moscow State University"
],
[
"Ziyatdinov",
"I.",
"",
"Moscow State University"
]
] |
The parquet approximation in the matrix Higgs model is considered. We demonstrate analytically that in the large $N$ limit the parquet approximation gives an satisfying agreement with the exact results. It is shown that the parquet planar series can be derived by means of the generating functional.
|
2106.15669
|
Spiros Cotsakis
|
Ignatios Antoniadis, Spiros Cotsakis, Ifigeneia Klaoudatou
|
Regular braneworlds with nonlinear bulk-fluids
|
37 pages, 6 figures, final version matches published one
|
Eur. Phys. J. C 81, 771 (2021)
|
10.1140/epjc/s10052-021-09558-y
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a regular five-dimensional brane-world with localised gravity on
a flat 3-brane. The matter content in the bulk is parametrised by an analog of
a non-linear fluid with equation of state $p=\gamma\rho^\lambda$ between the
`pressure' $p$ and the `density' $\rho$ dependent on the 5th dimension. For
$\gamma$ negative and $\lambda>1$, the null energy condition is satisfied, and
the geometry is free of singularities within finite distance from the brane,
while the induced four-dimensional Planck mass is finite.
|
[
{
"created": "Tue, 29 Jun 2021 18:26:20 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Sep 2021 09:13:56 GMT",
"version": "v2"
}
] |
2021-09-15
|
[
[
"Antoniadis",
"Ignatios",
""
],
[
"Cotsakis",
"Spiros",
""
],
[
"Klaoudatou",
"Ifigeneia",
""
]
] |
We construct a regular five-dimensional brane-world with localised gravity on a flat 3-brane. The matter content in the bulk is parametrised by an analog of a non-linear fluid with equation of state $p=\gamma\rho^\lambda$ between the `pressure' $p$ and the `density' $\rho$ dependent on the 5th dimension. For $\gamma$ negative and $\lambda>1$, the null energy condition is satisfied, and the geometry is free of singularities within finite distance from the brane, while the induced four-dimensional Planck mass is finite.
|
hep-th/0612083
|
Matthew Kleban
|
Puneet Batra, Matthew Kleban
|
Transitions Between de Sitter Minima
|
19 pages, 3 figures; references added, typos corrected
|
Phys.Rev.D76:103510,2007
|
10.1103/PhysRevD.76.103510
| null |
hep-th astro-ph gr-qc
| null |
We investigate the cosmological signatures of instantons mediating tunneling
between de Sitter minima. For generic potentials the Coleman-de Luccia
instanton does not necessarily exist; when it does not, the instanton which
contributes to the decay rate is the trivial constant solution, known as the
Hawking-Moss instanton. With the aid of a toy model we interpret this solution
and describe the resulting cosmology. In neither the Coleman-de Luccia nor
Hawking-Moss case can the resulting cosmology be closed. An observation of
significant positive curvature would therefore rule out the possibility that
our universe arose from any transition from a neighboring minimum in the
string-theory landscape.
|
[
{
"created": "Mon, 11 Dec 2006 19:06:38 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jun 2007 03:27:10 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Batra",
"Puneet",
""
],
[
"Kleban",
"Matthew",
""
]
] |
We investigate the cosmological signatures of instantons mediating tunneling between de Sitter minima. For generic potentials the Coleman-de Luccia instanton does not necessarily exist; when it does not, the instanton which contributes to the decay rate is the trivial constant solution, known as the Hawking-Moss instanton. With the aid of a toy model we interpret this solution and describe the resulting cosmology. In neither the Coleman-de Luccia nor Hawking-Moss case can the resulting cosmology be closed. An observation of significant positive curvature would therefore rule out the possibility that our universe arose from any transition from a neighboring minimum in the string-theory landscape.
|
hep-th/0311244
|
Miguel Vazquez-Mozo
|
L. Alvarez-Gaume and M.A. Vazquez-Mozo
|
Comments on Noncommutative Field Theories
|
15 pages. Based on talks at the 9th Adriatic Meeting (Dubrovnik,
Croatia) and at String Phenomenology 2003 (Durham, UK). v2 references added
|
SpringerProc.Phys.98:175-188,2005
| null |
CERN-TH-2003/243
|
hep-th
| null |
We discuss some aspects of noncommutative quantum field theories obtained
from the Seiberg-Witten limit of string theories in the presence of an external
B-field. General properties of these theories are studied as well as the
phenomenological potential of noncommutative QED.
|
[
{
"created": "Tue, 25 Nov 2003 15:39:26 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Dec 2003 16:14:36 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Alvarez-Gaume",
"L.",
""
],
[
"Vazquez-Mozo",
"M. A.",
""
]
] |
We discuss some aspects of noncommutative quantum field theories obtained from the Seiberg-Witten limit of string theories in the presence of an external B-field. General properties of these theories are studied as well as the phenomenological potential of noncommutative QED.
|
1406.1551
|
V. Parameswaran Nair
|
Dimitra Karabali, V.P. Nair
|
Relativistic Particle and Relativistic Fluids: Magnetic Moment and
Spin-Orbit Interactions
|
22 pages
|
Phys. Rev. D 90, 105018 (2014)
|
10.1103/PhysRevD.90.105018
|
CCNY-HEP14/3
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider relativistic charged particle dynamics and relativistic
magnetohydrodynamics using symplectic structures and actions given in terms of
co-adjoint orbits of the Poincar\'e group. The particle case is meant to
clarify some points such as how minimal coupling (as defined in text) leads to
a gyromagnetic ratio of $2$, and to set the stage for fluid dynamics. The
general group-theoretic framework is further explained and is then used to set
up Abelian magnetohydrodynamics including spin effects. An interesting new
physical effect is precession of spin density induced by gradients in pressure
and energy density. The Euler equation (the dynamics of the velocity field) is
also modified by gradients of the spin density.
|
[
{
"created": "Fri, 6 Jun 2014 01:27:06 GMT",
"version": "v1"
}
] |
2014-11-19
|
[
[
"Karabali",
"Dimitra",
""
],
[
"Nair",
"V. P.",
""
]
] |
We consider relativistic charged particle dynamics and relativistic magnetohydrodynamics using symplectic structures and actions given in terms of co-adjoint orbits of the Poincar\'e group. The particle case is meant to clarify some points such as how minimal coupling (as defined in text) leads to a gyromagnetic ratio of $2$, and to set the stage for fluid dynamics. The general group-theoretic framework is further explained and is then used to set up Abelian magnetohydrodynamics including spin effects. An interesting new physical effect is precession of spin density induced by gradients in pressure and energy density. The Euler equation (the dynamics of the velocity field) is also modified by gradients of the spin density.
|
1008.0354
|
Joseph Ben Geloun
|
Joseph Ben Geloun, Razvan Gurau and Vincent Rivasseau
|
EPRL/FK Group Field Theory
|
20 pages, 2 figures
|
Europhys.Lett.92:60008,2010
|
10.1209/0295-5075/92/60008
|
pi-qg-194, ICMPA-MPA/2010/15
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The purpose of this short note is to clarify the Group Field Theory vertex
and propagators corresponding to the EPRL/FK spin foam models and to detail the
subtraction of leading divergences of the model.
|
[
{
"created": "Mon, 2 Aug 2010 17:14:55 GMT",
"version": "v1"
}
] |
2011-02-07
|
[
[
"Geloun",
"Joseph Ben",
""
],
[
"Gurau",
"Razvan",
""
],
[
"Rivasseau",
"Vincent",
""
]
] |
The purpose of this short note is to clarify the Group Field Theory vertex and propagators corresponding to the EPRL/FK spin foam models and to detail the subtraction of leading divergences of the model.
|
1708.05055
|
Vladimir V Belokurov
|
Vladimir V. Belokurov and Evgeniy T. Shavgulidze
|
Evolution of the Universe caused by the averaged potential of the
quantum scalar field
|
4 pages, 1 figure
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the quantum theory of the singular scalar field $\varphi $ minimally
coupled to gravity. In our approach, the scalar field is treated as a true
quantum variable, while the scale factor $a(t)$ is supposed to be classical. We
evaluate the quantum average of the self-interaction potential $V(\varphi)$ and
use it in the modified differential equation for the Hubble parameter.
|
[
{
"created": "Wed, 16 Aug 2017 20:13:47 GMT",
"version": "v1"
}
] |
2017-08-18
|
[
[
"Belokurov",
"Vladimir V.",
""
],
[
"Shavgulidze",
"Evgeniy T.",
""
]
] |
We study the quantum theory of the singular scalar field $\varphi $ minimally coupled to gravity. In our approach, the scalar field is treated as a true quantum variable, while the scale factor $a(t)$ is supposed to be classical. We evaluate the quantum average of the self-interaction potential $V(\varphi)$ and use it in the modified differential equation for the Hubble parameter.
|
hep-th/9208050
|
Yannick Meurice
|
Yannick Meurice
|
Remarks Concerning Polyakov's Conjecture for the 3D Ising Model and the
Hierarchical Approximation
|
7 pp., UIOWA-91-27
|
Mod.Phys.Lett.A7:3331-3336,1992
|
10.1142/S0217732392002718
| null |
hep-th hep-lat
| null |
We consider the possibility of using the hierarchical approximation to
understand the continuum limit of a reformulation of the 3D Ising model
initiated by Polyakov. We introduce several new formulations of the
hierarchical model using dual or fermionic variables. We discuss several
aspects of the renormalization group transformation in terms of these new
variables. We mention a reformulation of the model closely related to string
models proposed by Zabrodin.
|
[
{
"created": "Thu, 20 Aug 1992 02:52:31 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Meurice",
"Yannick",
""
]
] |
We consider the possibility of using the hierarchical approximation to understand the continuum limit of a reformulation of the 3D Ising model initiated by Polyakov. We introduce several new formulations of the hierarchical model using dual or fermionic variables. We discuss several aspects of the renormalization group transformation in terms of these new variables. We mention a reformulation of the model closely related to string models proposed by Zabrodin.
|
2006.00921
|
Giuseppe Di Giulio
|
Giuseppe Di Giulio, Erik Tonni
|
Complexity of mixed Gaussian states from Fisher information geometry
|
107 pages, 12 figures. v2; various improvements, published version
|
JHEP 12 (2020) 101
|
10.1007/JHEP12(2020)101
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the circuit complexity for mixed bosonic Gaussian states in harmonic
lattices in any number of dimensions. By employing the Fisher information
geometry for the covariance matrices, we consider the optimal circuit
connecting two states with vanishing first moments, whose length is identified
with the complexity to create a target state from a reference state through the
optimal circuit. Explicit proposals to quantify the spectrum complexity and the
basis complexity are discussed. The purification of the mixed states is also
analysed. In the special case of harmonic chains on the circle or on the
infinite line, we report numerical results for thermal states and reduced
density matrices.
|
[
{
"created": "Mon, 1 Jun 2020 13:09:57 GMT",
"version": "v1"
},
{
"created": "Sun, 27 Dec 2020 18:09:05 GMT",
"version": "v2"
}
] |
2020-12-29
|
[
[
"Di Giulio",
"Giuseppe",
""
],
[
"Tonni",
"Erik",
""
]
] |
We study the circuit complexity for mixed bosonic Gaussian states in harmonic lattices in any number of dimensions. By employing the Fisher information geometry for the covariance matrices, we consider the optimal circuit connecting two states with vanishing first moments, whose length is identified with the complexity to create a target state from a reference state through the optimal circuit. Explicit proposals to quantify the spectrum complexity and the basis complexity are discussed. The purification of the mixed states is also analysed. In the special case of harmonic chains on the circle or on the infinite line, we report numerical results for thermal states and reduced density matrices.
|
0905.3632
|
Paul Frampton
|
Paul H. Frampton
|
Identification of All Dark Matter as Black Holes
|
Discussion updated
| null |
10.1088/1475-7516/2009/10/016
| null |
hep-th astro-ph.CO astro-ph.GA gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For the universe I use dimensionless entropy $S/k = \ln \Omega$ for which the
most convenient unit is the googol ($10^{100}$) and identify all dark matter as
black holes whereupon the present entropy is about a thousand googols. While
the energy of the universe has been established to be about 0.04 baryons, 0.24
dark matter and 0.72 dark energy, the cosmological entropy is almost entirely,
about $(1 - 10^{-15})$, from black holes and only $10^{-15}$ from everything
else. This identification of all dark matter as black holes is natural in
statistical mechanics.
|
[
{
"created": "Fri, 22 May 2009 08:40:15 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jun 2009 18:25:36 GMT",
"version": "v2"
},
{
"created": "Sat, 19 Sep 2009 05:42:57 GMT",
"version": "v3"
},
{
"created": "Fri, 25 Sep 2009 02:13:03 GMT",
"version": "v4"
}
] |
2015-05-13
|
[
[
"Frampton",
"Paul H.",
""
]
] |
For the universe I use dimensionless entropy $S/k = \ln \Omega$ for which the most convenient unit is the googol ($10^{100}$) and identify all dark matter as black holes whereupon the present entropy is about a thousand googols. While the energy of the universe has been established to be about 0.04 baryons, 0.24 dark matter and 0.72 dark energy, the cosmological entropy is almost entirely, about $(1 - 10^{-15})$, from black holes and only $10^{-15}$ from everything else. This identification of all dark matter as black holes is natural in statistical mechanics.
|
2112.10403
|
Yun Zhi Du
|
Yun-Zhi Du, Huai-Fan Li, Fang Liu, Ren Zhao, Li-Chun Zhang
|
Phase transition of non-linear charged Anti-de Sitter black holes
| null |
Chin.Phys.C 45 (2021) 11, 112001
|
10.1088/1674-1137/ac2049
|
Chin.Phys.C 45 (2021) 11, 112001
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Understanding the thermodynamic phase transition of black holes can provide a
deep insight into the fundamental properties of black hole gravity to establish
the theory of quantum gravity. We investigate the condition and latent heat of
phase transition for non-linear charged AdS black holes using the Maxwell's
equal-area law, and analysis the boundary and curve of the two-phase
coexistence area in the expanded phase space. We suggest that the phase
transition of the non-linear charged AdS black hole with the fixed temperature
($T<T_c$) is related to the electric potential at the horizon, not only to the
location of horizon. Recently, the molecular number density was introduced to
study the phase transition and microstructure of black holes. On this basis, we
discuss the continuous phase transition of a non-linear charged AdS black hole
to reveal the potential microstructure of a black hole by introducing the order
parameter and using the scalar curvature.
|
[
{
"created": "Mon, 20 Dec 2021 08:50:39 GMT",
"version": "v1"
}
] |
2022-09-13
|
[
[
"Du",
"Yun-Zhi",
""
],
[
"Li",
"Huai-Fan",
""
],
[
"Liu",
"Fang",
""
],
[
"Zhao",
"Ren",
""
],
[
"Zhang",
"Li-Chun",
""
]
] |
Understanding the thermodynamic phase transition of black holes can provide a deep insight into the fundamental properties of black hole gravity to establish the theory of quantum gravity. We investigate the condition and latent heat of phase transition for non-linear charged AdS black holes using the Maxwell's equal-area law, and analysis the boundary and curve of the two-phase coexistence area in the expanded phase space. We suggest that the phase transition of the non-linear charged AdS black hole with the fixed temperature ($T<T_c$) is related to the electric potential at the horizon, not only to the location of horizon. Recently, the molecular number density was introduced to study the phase transition and microstructure of black holes. On this basis, we discuss the continuous phase transition of a non-linear charged AdS black hole to reveal the potential microstructure of a black hole by introducing the order parameter and using the scalar curvature.
|
2005.08402
|
Justin David R
|
Justin R. David and Jyotirmoy Mukherjee
|
Hyperbolic cylinders and entanglement entropy: gravitons, higher spins,
$p$-forms
|
52 pages, published version, improved treatment of the graviton
| null |
10.1007/JHEP01(2021)202
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the entanglement entropy of $D=4$ linearized gravitons across a
sphere recently computed by Benedetti and Casini coincides with that obtained
using the Kaluza-Klein tower of traceless transverse massive spin-2 fields on
$S^1\times AdS_3$. The mass of the constant mode on $S^1$ saturates the
Brietenholer-Freedman bound in $AdS_3$. This condition also ensures that the
entanglement entropy of higher spins determined from partition functions on the
hyperbolic cylinder coincides with their recent conjecture. Starting from the
action of the 2-form on $S^1\times AdS_5$ and fixing gauge, we evaluate the
entanglement entropy across a sphere as well as the dimensions of the
corresponding twist operator. We demonstrate that the conformal dimensions of
the corresponding twist operator agrees with that obtained using the
expectation value of the stress tensor on the replica cone. For conformal
$p$-forms in even dimensions it obeys the expected relations with the
coefficients determining the $3$-point function of the stress tensor of these
fields.
|
[
{
"created": "Sun, 17 May 2020 23:57:34 GMT",
"version": "v1"
},
{
"created": "Sat, 8 May 2021 10:39:12 GMT",
"version": "v2"
}
] |
2021-05-11
|
[
[
"David",
"Justin R.",
""
],
[
"Mukherjee",
"Jyotirmoy",
""
]
] |
We show that the entanglement entropy of $D=4$ linearized gravitons across a sphere recently computed by Benedetti and Casini coincides with that obtained using the Kaluza-Klein tower of traceless transverse massive spin-2 fields on $S^1\times AdS_3$. The mass of the constant mode on $S^1$ saturates the Brietenholer-Freedman bound in $AdS_3$. This condition also ensures that the entanglement entropy of higher spins determined from partition functions on the hyperbolic cylinder coincides with their recent conjecture. Starting from the action of the 2-form on $S^1\times AdS_5$ and fixing gauge, we evaluate the entanglement entropy across a sphere as well as the dimensions of the corresponding twist operator. We demonstrate that the conformal dimensions of the corresponding twist operator agrees with that obtained using the expectation value of the stress tensor on the replica cone. For conformal $p$-forms in even dimensions it obeys the expected relations with the coefficients determining the $3$-point function of the stress tensor of these fields.
|
1912.09493
|
Thorsten Schimannek
|
Paul-Konstantin Oehlmann, Thorsten Schimannek
|
GV-Spectroscopy for F-theory on genus-one fibrations
| null | null | null | null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a novel technique to obtain base independent expressions for the
matter loci of fibrations of complete intersection Calabi-Yau onefolds in toric
ambient spaces. These can be used to systematically construct elliptically and
genus one fibered Calabi-Yau $d$-folds that lead to desired gauge groups and
spectra in F-theory. The technique, which we refer to as GV-spectroscopy, is
based on the calculation of fiber Gopakumar-Vafa invariants using the
Batyrev-Borisov construction of mirror pairs and application of the so-called
Frobenius method to the data of a parametrized auxiliary polytope. In
particular for fibers that generically lead to multiple sections, only
multi-sections or that are complete intersections in higher codimension, our
technique is vastly more efficient than classical approaches. As an application
we study two Higgs chains of six-dimensional supergravities that are engineered
by fibrations of codimension two complete intersection fibers. Both chains end
on a vacuum with $G=\mathbb{Z}_4$ that is engineered by fibrations of
bi-quadrics in $\mathbb{P}^3$. We use the detailed knowledge of the structure
of the reducible fibers that we obtain from GV-spectroscopy to comment on the
corresponding Tate-Shafarevich group. We also show that for all fibers the
six-dimensional supergravity anomalies including the discrete anomalies
generically cancel.
|
[
{
"created": "Thu, 19 Dec 2019 19:01:20 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Dec 2019 10:44:06 GMT",
"version": "v2"
}
] |
2019-12-24
|
[
[
"Oehlmann",
"Paul-Konstantin",
""
],
[
"Schimannek",
"Thorsten",
""
]
] |
We present a novel technique to obtain base independent expressions for the matter loci of fibrations of complete intersection Calabi-Yau onefolds in toric ambient spaces. These can be used to systematically construct elliptically and genus one fibered Calabi-Yau $d$-folds that lead to desired gauge groups and spectra in F-theory. The technique, which we refer to as GV-spectroscopy, is based on the calculation of fiber Gopakumar-Vafa invariants using the Batyrev-Borisov construction of mirror pairs and application of the so-called Frobenius method to the data of a parametrized auxiliary polytope. In particular for fibers that generically lead to multiple sections, only multi-sections or that are complete intersections in higher codimension, our technique is vastly more efficient than classical approaches. As an application we study two Higgs chains of six-dimensional supergravities that are engineered by fibrations of codimension two complete intersection fibers. Both chains end on a vacuum with $G=\mathbb{Z}_4$ that is engineered by fibrations of bi-quadrics in $\mathbb{P}^3$. We use the detailed knowledge of the structure of the reducible fibers that we obtain from GV-spectroscopy to comment on the corresponding Tate-Shafarevich group. We also show that for all fibers the six-dimensional supergravity anomalies including the discrete anomalies generically cancel.
|
hep-th/0501054
|
Joshua Lapan
|
Joshua M. Lapan, Wei Li
|
Falling D0-Branes in 2D Superstring Theory
|
17 pages, LaTeX
| null | null |
HUTP-05/A0003
|
hep-th
| null |
In N=1, 2D superstring theory in the linear dilaton background, there exists
falling D0-branes that are described by time-dependent boundary states. These
falling D0-brane boundary states can be obtained by adapting the FZZT boundary
states of N=2 Super Liouville Field Theory (SLFT) to the case of the N=1, 2D
superstring. In particular, we find that there are four stable, falling
D0-branes (two branes and two anti-branes) in the Type 0A projection and two
unstable ones in the Type 0B projection, leaving us with a puzzle for the
matrix model dual of the theory.
|
[
{
"created": "Sat, 8 Jan 2005 03:45:21 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Lapan",
"Joshua M.",
""
],
[
"Li",
"Wei",
""
]
] |
In N=1, 2D superstring theory in the linear dilaton background, there exists falling D0-branes that are described by time-dependent boundary states. These falling D0-brane boundary states can be obtained by adapting the FZZT boundary states of N=2 Super Liouville Field Theory (SLFT) to the case of the N=1, 2D superstring. In particular, we find that there are four stable, falling D0-branes (two branes and two anti-branes) in the Type 0A projection and two unstable ones in the Type 0B projection, leaving us with a puzzle for the matrix model dual of the theory.
|
hep-th/0603133
|
Csaba Balazs
|
Csaba Balazs and Istvan Szapudi
|
Naturalness of the Vacuum Energy in Holographic Theories
|
4 pages no figures
| null | null |
ANL-HEP-PR-06-37
|
hep-th astro-ph hep-ph
| null |
Based on the cosmic holographic conjecture of Fischler and Susskind, we point
out that the average energy density of the universe is bound from above by its
entropy limit. Since Friedmann's equation saturates this relation, the measured
value of the cosmological energy density is completely natural in the framework
of holographic thermodynamics: vacuum energy density fills the available
quantum degrees of freedom allowed by the holographic bound. This is in strong
contrast with traditional quantum field theories where, since no similar bound
applies, the natural value of the vacuum energy is expected to be 123 orders of
magnitude higher than the holographic value. Based on our simple calculation,
holographic thermodynamics, and consequently any future holographic quantum
(gravity) theory, resolves the vacuum energy puzzle.
|
[
{
"created": "Fri, 17 Mar 2006 20:49:29 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Balazs",
"Csaba",
""
],
[
"Szapudi",
"Istvan",
""
]
] |
Based on the cosmic holographic conjecture of Fischler and Susskind, we point out that the average energy density of the universe is bound from above by its entropy limit. Since Friedmann's equation saturates this relation, the measured value of the cosmological energy density is completely natural in the framework of holographic thermodynamics: vacuum energy density fills the available quantum degrees of freedom allowed by the holographic bound. This is in strong contrast with traditional quantum field theories where, since no similar bound applies, the natural value of the vacuum energy is expected to be 123 orders of magnitude higher than the holographic value. Based on our simple calculation, holographic thermodynamics, and consequently any future holographic quantum (gravity) theory, resolves the vacuum energy puzzle.
|
1407.5270
|
Simon Tyler
|
Sergei M Kuzenko and Simon J Tyler
|
The one-loop effective potential of the Wess-Zumino model revisited
|
32 pages
| null |
10.1007/JHEP09(2014)135
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The full one-loop supersymmetric effective potential for the Wess-Zumino
model is calculated using superfield techniques. This includes the K\"ahler
potential and the auxiliary field potential, of which the former was originally
computed in 1993 while the latter is derived for the first time. In the purely
bosonic sector our results match those of older component field calculations.
In light of prior contradictory results found in the literature, the
calculation of the leading term in the auxiliary field potential is approached
in a variety of ways. Issues related to conditional convergence that occur
during these calculations and their possible consequences are discussed.
|
[
{
"created": "Sun, 20 Jul 2014 10:58:08 GMT",
"version": "v1"
}
] |
2015-06-22
|
[
[
"Kuzenko",
"Sergei M",
""
],
[
"Tyler",
"Simon J",
""
]
] |
The full one-loop supersymmetric effective potential for the Wess-Zumino model is calculated using superfield techniques. This includes the K\"ahler potential and the auxiliary field potential, of which the former was originally computed in 1993 while the latter is derived for the first time. In the purely bosonic sector our results match those of older component field calculations. In light of prior contradictory results found in the literature, the calculation of the leading term in the auxiliary field potential is approached in a variety of ways. Issues related to conditional convergence that occur during these calculations and their possible consequences are discussed.
|
1112.4989
|
Vidas Regelskis
|
Marius de Leeuw, Vidas Regelskis, Alessandro Torrielli
|
The Quantum Affine Origin of the AdS/CFT Secret Symmetry
|
22 pages
|
J. Phys. A: Math. Theor. 45 (2012) 175202
|
10.1088/1751-8113/45/17/175202
|
DMUS-MP-11/02
|
hep-th math-ph math.MP math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find a new quantum affine symmetry of the S-matrix of the one-dimensional
Hubbard chain. We show that this symmetry originates from the quantum affine
superalgebra U_q(gl(2|2)), and in the rational limit exactly reproduces the
secret symmetry of the AdS/CFT worldsheet S-matrix.
|
[
{
"created": "Wed, 21 Dec 2011 11:18:03 GMT",
"version": "v1"
}
] |
2014-01-10
|
[
[
"de Leeuw",
"Marius",
""
],
[
"Regelskis",
"Vidas",
""
],
[
"Torrielli",
"Alessandro",
""
]
] |
We find a new quantum affine symmetry of the S-matrix of the one-dimensional Hubbard chain. We show that this symmetry originates from the quantum affine superalgebra U_q(gl(2|2)), and in the rational limit exactly reproduces the secret symmetry of the AdS/CFT worldsheet S-matrix.
|
1712.07310
|
Pramod Shukla
|
Xin Gao, Pramod Shukla, Rui Sun
|
Symplectic formulation of the type IIA nongeometric scalar potential
|
v4: 33 pages, typos fixed in eqn. (4.22) and (4.23), and some
cosmetic changes in the title; version to appear in PRD
|
Phys. Rev. D 98, 046009 (2018)
|
10.1103/PhysRevD.98.046009
|
IFT-UAM/CSIC-17-121
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the four-dimensional (4D) scalar potential arising from a
generalized type IIA flux superpotential including the (non-)geometric fluxes.
First, we show that using a set of peculiar flux combinations, the 4D scalar
potential can be formulated into a very compact form. This is what we call as
the `symplectic formulation' from which one could easily anticipate the
ten-dimensional origin of the effective scalar potential. We support our
formulation through an alternate derivation of the scalar potential via
considering the Double Field Theory (DFT) reduction on a generic Calabi Yau
orientifold. In addition, we also exemplify the insights of our formulation
with explicit computations for two concrete toroidal examples using
orientifolds of the complex threefolds ${\mathbb T}^6/{({\mathbb Z}_2 \times
{\mathbb Z}_2)}$ and ${\mathbb T}^6/{\mathbb Z}_4$.
|
[
{
"created": "Wed, 20 Dec 2017 03:29:13 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Dec 2017 00:06:25 GMT",
"version": "v2"
},
{
"created": "Wed, 2 May 2018 22:25:37 GMT",
"version": "v3"
},
{
"created": "Thu, 26 Jul 2018 10:09:06 GMT",
"version": "v4"
}
] |
2023-02-02
|
[
[
"Gao",
"Xin",
""
],
[
"Shukla",
"Pramod",
""
],
[
"Sun",
"Rui",
""
]
] |
We study the four-dimensional (4D) scalar potential arising from a generalized type IIA flux superpotential including the (non-)geometric fluxes. First, we show that using a set of peculiar flux combinations, the 4D scalar potential can be formulated into a very compact form. This is what we call as the `symplectic formulation' from which one could easily anticipate the ten-dimensional origin of the effective scalar potential. We support our formulation through an alternate derivation of the scalar potential via considering the Double Field Theory (DFT) reduction on a generic Calabi Yau orientifold. In addition, we also exemplify the insights of our formulation with explicit computations for two concrete toroidal examples using orientifolds of the complex threefolds ${\mathbb T}^6/{({\mathbb Z}_2 \times {\mathbb Z}_2)}$ and ${\mathbb T}^6/{\mathbb Z}_4$.
|
2211.07633
|
Holmfridur Sigridar Hannesdottir
|
Holmfridur S. Hannesdottir, Andrew J. McLeod, Matthew D. Schwartz,
Cristian Vergu
|
Constraints on Sequential Discontinuities from the Geometry of On-shell
Spaces
|
120 pages, 23 figures
| null |
10.1007/JHEP07(2023)236
|
CERN-TH-2022-189
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We present several classes of constraints on the discontinuities of Feynman
integrals that go beyond the Steinmann relations. These constraints follow from
a geometric formulation of the Landau equations that was advocated by Pham, in
which the singularities of Feynman integrals correspond to critical points of
maps between on-shell spaces. To establish our results, we review elements of
Picard-Lefschetz theory, which connect the homotopy properties of the space of
complexified external momenta to the homology of the combined space of on-shell
internal and external momenta. An important concept that emerges from this
analysis is the question of whether or not a pair of Landau singularities is
compatible-namely, whether or not the Landau equations for the two
singularities can be satisfied simultaneously. Under conditions we describe,
sequential discontinuities with respect to non-compatible Landau singularities
must vanish. Although we only rigorously prove results for Feynman integrals
with generic masses in this paper, we expect the geometric and algebraic
insights that we gain will also assist in the analysis of more general Feynman
integrals.
|
[
{
"created": "Mon, 14 Nov 2022 18:57:28 GMT",
"version": "v1"
}
] |
2023-08-16
|
[
[
"Hannesdottir",
"Holmfridur S.",
""
],
[
"McLeod",
"Andrew J.",
""
],
[
"Schwartz",
"Matthew D.",
""
],
[
"Vergu",
"Cristian",
""
]
] |
We present several classes of constraints on the discontinuities of Feynman integrals that go beyond the Steinmann relations. These constraints follow from a geometric formulation of the Landau equations that was advocated by Pham, in which the singularities of Feynman integrals correspond to critical points of maps between on-shell spaces. To establish our results, we review elements of Picard-Lefschetz theory, which connect the homotopy properties of the space of complexified external momenta to the homology of the combined space of on-shell internal and external momenta. An important concept that emerges from this analysis is the question of whether or not a pair of Landau singularities is compatible-namely, whether or not the Landau equations for the two singularities can be satisfied simultaneously. Under conditions we describe, sequential discontinuities with respect to non-compatible Landau singularities must vanish. Although we only rigorously prove results for Feynman integrals with generic masses in this paper, we expect the geometric and algebraic insights that we gain will also assist in the analysis of more general Feynman integrals.
|
1901.11264
|
Caroline Felix
|
D. Dudal, C. P. Felix, L. F. Palhares, F. Rondeau, D. Vercauteren
|
The BRST-invariant vacuum state of the Gribov-Zwanziger theory
|
18 pages, 4 .pdf figures
| null |
10.1140/epjc/s10052-019-7235-0
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit the effective action of the Gribov-Zwanziger theory, taking into
due account the BRST symmetry and renormalization (group invariance) of the
construction. We compute at one loop the effective potential, showing the
emergence of BRST-invariant dimension 2 condensates stabilizing the vacuum.
This paper sets the stage at zero temperature, and clears the way to studying
the Gribov-Zwanziger gap equations, and particularly the horizon condition, at
finite temperature in future work.
|
[
{
"created": "Thu, 31 Jan 2019 08:33:47 GMT",
"version": "v1"
}
] |
2019-10-02
|
[
[
"Dudal",
"D.",
""
],
[
"Felix",
"C. P.",
""
],
[
"Palhares",
"L. F.",
""
],
[
"Rondeau",
"F.",
""
],
[
"Vercauteren",
"D.",
""
]
] |
We revisit the effective action of the Gribov-Zwanziger theory, taking into due account the BRST symmetry and renormalization (group invariance) of the construction. We compute at one loop the effective potential, showing the emergence of BRST-invariant dimension 2 condensates stabilizing the vacuum. This paper sets the stage at zero temperature, and clears the way to studying the Gribov-Zwanziger gap equations, and particularly the horizon condition, at finite temperature in future work.
|
hep-th/9703119
|
Gleb E. Arutyunov
|
G.E.Arutyunov and S.A.Frolov
|
On Hamiltonian structure of the spin Ruijsenaars-Schneider model
|
latex, 16 pages, references are added
|
J.Phys.A31:4203-4216,1998
|
10.1088/0305-4470/31/18/010
|
SMI-97-16
|
hep-th
| null |
The Hamiltonian structure of spin generalization of the rational
Ruijsenaars-Schneider model is found by using the Hamiltonian reduction
technique. It is shown that the model possesses the current algebra symmetry.
The possibility of generalizing the found Poisson structure to the
trigonometric case is discussed and degeneration to the Euler-Calogero-Moser
system is examined.
|
[
{
"created": "Mon, 17 Mar 1997 12:28:42 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Mar 1997 14:43:47 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Arutyunov",
"G. E.",
""
],
[
"Frolov",
"S. A.",
""
]
] |
The Hamiltonian structure of spin generalization of the rational Ruijsenaars-Schneider model is found by using the Hamiltonian reduction technique. It is shown that the model possesses the current algebra symmetry. The possibility of generalizing the found Poisson structure to the trigonometric case is discussed and degeneration to the Euler-Calogero-Moser system is examined.
|
hep-th/9407045
|
Jorg Schray
|
J\"org Schray
|
The general classical solution of the superparticle
|
11 pages, REVTeX
|
Class.Quant.Grav. 13 (1996) 27-38
|
10.1088/0264-9381/13/1/004
| null |
hep-th
| null |
The theory of vectors and spinors in 9+1 dimensional spacetime is introduced
in a completely octonionic formalism based on an octonionic representation of
the Clifford algebra $\Cl(9,1)$. The general solution of the classical
equations of motion of the CBS superparticle is given to all orders of the
Grassmann hierarchy. A spinor and a vector are combined into a $3 \times 3$
Grassmann, octonionic, Jordan matrix in order to construct a superspace
variable to describe the superparticle. The combined Lorentz and supersymmetry
transformations of the fermionic and bosonic variables are expressed in terms
of Jordan products.
|
[
{
"created": "Fri, 8 Jul 1994 00:45:13 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Schray",
"Jörg",
""
]
] |
The theory of vectors and spinors in 9+1 dimensional spacetime is introduced in a completely octonionic formalism based on an octonionic representation of the Clifford algebra $\Cl(9,1)$. The general solution of the classical equations of motion of the CBS superparticle is given to all orders of the Grassmann hierarchy. A spinor and a vector are combined into a $3 \times 3$ Grassmann, octonionic, Jordan matrix in order to construct a superspace variable to describe the superparticle. The combined Lorentz and supersymmetry transformations of the fermionic and bosonic variables are expressed in terms of Jordan products.
|
2211.16405
|
Tommaso Macrelli
|
Leron Borsten, Hyungrok Kim, Branislav Jur\v{c}o, Tommaso Macrelli,
Christian Saemann, Martin Wolf
|
Colour-kinematics duality, double copy, and homotopy algebras
|
6 pages, proceedings of ICHEP 2022
|
PoS ICHEP2022 426
|
10.22323/1.414.0426
|
DMUS-MP-22/22, EMPG-22-23
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Colour-kinematics duality is a remarkable property of Yang-Mills theory. Its
validity implies a relation between gauge theory and gravity scattering
amplitudes, known as double copy. Albeit fully established at the tree level,
its extension to the loop level is conjectural. Lifting the on-shell,
scattering amplitudes-based description to the level of action functionals, we
argue that a theory that exhibits tree-level colour-kinematics duality can be
reformulated in a way such that its loop integrands manifest a generalised form
of colour-kinematics duality. Moreover, we show how the structures of higher
homotopy theory naturally describe this off-shell reformulation of
colour-kinematics duality.
|
[
{
"created": "Tue, 29 Nov 2022 17:28:30 GMT",
"version": "v1"
}
] |
2022-11-30
|
[
[
"Borsten",
"Leron",
""
],
[
"Kim",
"Hyungrok",
""
],
[
"Jurčo",
"Branislav",
""
],
[
"Macrelli",
"Tommaso",
""
],
[
"Saemann",
"Christian",
""
],
[
"Wolf",
"Martin",
""
]
] |
Colour-kinematics duality is a remarkable property of Yang-Mills theory. Its validity implies a relation between gauge theory and gravity scattering amplitudes, known as double copy. Albeit fully established at the tree level, its extension to the loop level is conjectural. Lifting the on-shell, scattering amplitudes-based description to the level of action functionals, we argue that a theory that exhibits tree-level colour-kinematics duality can be reformulated in a way such that its loop integrands manifest a generalised form of colour-kinematics duality. Moreover, we show how the structures of higher homotopy theory naturally describe this off-shell reformulation of colour-kinematics duality.
|
0912.1944
|
Jose Edelstein
|
Xian O. Camanho, Jose D. Edelstein
|
Causality in AdS/CFT and Lovelock theory
|
35 pages, 20 figures; v2: minor amendments and clarifications
included
|
JHEP 1006:099,2010
|
10.1007/JHEP06(2010)099
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the constraints imposed on higher curvature corrections of the
Lovelock type due to causality restrictions in the boundary of asymptotically
AdS space-time. In the framework of AdS/CFT, this is related to positivity of
the energy constraints that arise in conformal collider physics. We present
explicit analytic results that fully address these issues for cubic Lovelock
gravity in arbitrary dimensions and give the formal analytic results that
comprehend general Lovelock theory. The computations can be performed in two
ways, both by considering a thermal setup in a black hole background and by
studying the scattering of gravitons with a shock wave in AdS. We show that
both computations coincide in Lovelock theory. The different helicities, as
expected, provide the boundaries defining the region of allowed couplings. We
generalize these results to arbitrary higher dimensions and discuss their
consequences on the shear viscosity to energy density ratio of CFT plasmas, the
possible existence of Boulware-Deser instabilities in Lovelock theory and the
extent to which the AdS/CFT correspondence might be valid for arbitrary
dimensions.
|
[
{
"created": "Thu, 10 Dec 2009 20:43:20 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Apr 2010 19:37:59 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"Camanho",
"Xian O.",
""
],
[
"Edelstein",
"Jose D.",
""
]
] |
We explore the constraints imposed on higher curvature corrections of the Lovelock type due to causality restrictions in the boundary of asymptotically AdS space-time. In the framework of AdS/CFT, this is related to positivity of the energy constraints that arise in conformal collider physics. We present explicit analytic results that fully address these issues for cubic Lovelock gravity in arbitrary dimensions and give the formal analytic results that comprehend general Lovelock theory. The computations can be performed in two ways, both by considering a thermal setup in a black hole background and by studying the scattering of gravitons with a shock wave in AdS. We show that both computations coincide in Lovelock theory. The different helicities, as expected, provide the boundaries defining the region of allowed couplings. We generalize these results to arbitrary higher dimensions and discuss their consequences on the shear viscosity to energy density ratio of CFT plasmas, the possible existence of Boulware-Deser instabilities in Lovelock theory and the extent to which the AdS/CFT correspondence might be valid for arbitrary dimensions.
|
1402.3312
|
Cyril Matti
|
Yang-Hui He, Vishnu Jejjala, Cyril Matti, Brent D. Nelson
|
Veronese Geometry and the Electroweak Vacuum Moduli Space
|
13 pages, 3 tables
| null |
10.1016/j.physletb.2014.06.072
| null |
hep-th hep-ph math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explain the origin of the Veronese surface in the vacuum moduli space
geometry of the MSSM electroweak sector. While this result appeared many years
ago using techniques of computational algebraic geometry, it has never been
demonstrated analytically. Here, we present an analytical derivation of the
vacuum geometry of the electroweak theory by understanding how the F- and
D-term relations lead to the Veronese surface. We moreover give a detailed
description of this geometry, realising an extra branch as a zero-dimensional
point when quadratic Higgs lifting deformations are incorporated into the
superpotential.
|
[
{
"created": "Thu, 13 Feb 2014 21:44:37 GMT",
"version": "v1"
}
] |
2014-07-21
|
[
[
"He",
"Yang-Hui",
""
],
[
"Jejjala",
"Vishnu",
""
],
[
"Matti",
"Cyril",
""
],
[
"Nelson",
"Brent D.",
""
]
] |
We explain the origin of the Veronese surface in the vacuum moduli space geometry of the MSSM electroweak sector. While this result appeared many years ago using techniques of computational algebraic geometry, it has never been demonstrated analytically. Here, we present an analytical derivation of the vacuum geometry of the electroweak theory by understanding how the F- and D-term relations lead to the Veronese surface. We moreover give a detailed description of this geometry, realising an extra branch as a zero-dimensional point when quadratic Higgs lifting deformations are incorporated into the superpotential.
|
hep-th/0001020
|
Tsou Sheung Tsun
|
ST Tsou (Oxford)
|
Some uses of moduli spaces in particle and field theory
|
17 pages, Latex, 5 figures using eps; invited talk at the European
Women in Mathematics Workshop on Moduli Spaces, Oxford 1998; in Proceedings,
Oxford University Mathematical Institute December 1999
| null | null | null |
hep-th
| null |
In this talk I shall try to give an elementary introduction to certain areas
of mathematical physics where the idea of moduli space is used to help solve
problems or to further our understanding. In the wide area of gauge theory, I
shall mention instantons, monopoles and duality. Then, under the general
heading of string theory, I shall indicate briefly the use of moduli space in
conformal field theory and $M$-theory.
|
[
{
"created": "Wed, 5 Jan 2000 18:06:12 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Tsou",
"ST",
"",
"Oxford"
]
] |
In this talk I shall try to give an elementary introduction to certain areas of mathematical physics where the idea of moduli space is used to help solve problems or to further our understanding. In the wide area of gauge theory, I shall mention instantons, monopoles and duality. Then, under the general heading of string theory, I shall indicate briefly the use of moduli space in conformal field theory and $M$-theory.
|
1508.07226
|
Gustavo Lucena G\'omez
|
Gustavo Lucena G\'omez
|
The Elegance of Cohomological Methods
|
introductory review, 25 pages, LaTeX
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The BRST-Antifield reformulation of the deformation problem is reviewed in a
self-contained and heuristic way. The focus is on finding all consistent
interaction terms for fields propagating on a Minkowskian D-dimensional
spacetime. Particular emphasis is put on the physical interpretation for the
mathematical objects of the formalism.
|
[
{
"created": "Fri, 28 Aug 2015 14:25:24 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Oct 2016 20:09:31 GMT",
"version": "v2"
}
] |
2016-10-07
|
[
[
"Gómez",
"Gustavo Lucena",
""
]
] |
The BRST-Antifield reformulation of the deformation problem is reviewed in a self-contained and heuristic way. The focus is on finding all consistent interaction terms for fields propagating on a Minkowskian D-dimensional spacetime. Particular emphasis is put on the physical interpretation for the mathematical objects of the formalism.
|
hep-th/0001158
|
Terry Gannon
|
A. Coste, T. Gannon, Ph. Ruelle
|
Finite Group Modular Data
|
38 pp, latex; 5 references added, "questions" section touched-up
|
Nucl.Phys. B581 (2000) 679-717
|
10.1016/S0550-3213(00)00285-6
| null |
hep-th math.QA
| null |
In a remarkable variety of contexts appears the modular data associated to
finite groups. And yet, compared to the well-understood affine algebra modular
data, the general properties of this finite group modular data has been poorly
explored. In this paper we undergo such a study. We identify some senses in
which the finite group data is similar to, and different from, the affine data.
We also consider the data arising from a cohomological twist, and write down,
explicitly in terms of quantities associated directly with the finite group,
the modular S and T matrices for a general twist, for what appears to be the
first time in print.
|
[
{
"created": "Mon, 24 Jan 2000 22:57:11 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Feb 2000 22:12:29 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Coste",
"A.",
""
],
[
"Gannon",
"T.",
""
],
[
"Ruelle",
"Ph.",
""
]
] |
In a remarkable variety of contexts appears the modular data associated to finite groups. And yet, compared to the well-understood affine algebra modular data, the general properties of this finite group modular data has been poorly explored. In this paper we undergo such a study. We identify some senses in which the finite group data is similar to, and different from, the affine data. We also consider the data arising from a cohomological twist, and write down, explicitly in terms of quantities associated directly with the finite group, the modular S and T matrices for a general twist, for what appears to be the first time in print.
|
hep-th/0209191
|
Henning Samtleben
|
Marcus Berg, Henning Samtleben
|
Holographic Correlators in a Flow to a Fixed Point
|
LaTeX2e, 48 pages, 4 figures
|
JHEP 0212 (2002) 070
|
10.1088/1126-6708/2002/12/070
|
IHES/P/02/70, ROM2F/2002/23, ITF-2002/46, SPIN-2002/28
|
hep-th
| null |
Using holographic renormalization, we study correlation functions throughout
a renormalization group flow between two-dimensional superconformal field
theories. The ultraviolet theory is an N=(4,4) CFT which can be thought of as a
symmetric product of U(2) super WZW models. It is perturbed by a relevant
operator which preserves one-quarter supersymmetry and drives the theory to an
infrared fixed point. We compute correlators of the stress-energy tensor and of
the relevant operators dual to supergravity scalars. Using the former, we put
together Zamolodchikov's C function, and contrast it with proposals for a
holographic C function. In passing, we address and resolve two puzzles also
found in the case of five-dimensional bulk supergravity.
|
[
{
"created": "Mon, 23 Sep 2002 19:19:47 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Mar 2003 12:45:43 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Berg",
"Marcus",
""
],
[
"Samtleben",
"Henning",
""
]
] |
Using holographic renormalization, we study correlation functions throughout a renormalization group flow between two-dimensional superconformal field theories. The ultraviolet theory is an N=(4,4) CFT which can be thought of as a symmetric product of U(2) super WZW models. It is perturbed by a relevant operator which preserves one-quarter supersymmetry and drives the theory to an infrared fixed point. We compute correlators of the stress-energy tensor and of the relevant operators dual to supergravity scalars. Using the former, we put together Zamolodchikov's C function, and contrast it with proposals for a holographic C function. In passing, we address and resolve two puzzles also found in the case of five-dimensional bulk supergravity.
|
hep-th/9305135
|
Daniel Altschuler
|
D. Altschuler and B. Davies
|
Quantum Loop Modules and Quantum Spin Chains
|
32 pages, 5 figures (appended), ENSLAPP-L-419/93, MRR2/93
|
Int.J.Mod.Phys. A9 (1994) 3925-3958
|
10.1142/S0217751X94001588
| null |
hep-th
| null |
We construct level-0 modules of the quantum affine algebra $\Uq$, as the
$q$-deformed version of the Lie algebra loop module construction. We give
necessary and sufficient conditions for the modules to be irreducible. We
construct the crystal base for some of these modules and find significant
differences from the case of highest weight modules. We also consider the role
of loop modules in the recent scheme for diagonalising certain quantum spin
chains using their $\Uq$ symmetry.
|
[
{
"created": "Tue, 25 May 1993 15:21:29 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Altschuler",
"D.",
""
],
[
"Davies",
"B.",
""
]
] |
We construct level-0 modules of the quantum affine algebra $\Uq$, as the $q$-deformed version of the Lie algebra loop module construction. We give necessary and sufficient conditions for the modules to be irreducible. We construct the crystal base for some of these modules and find significant differences from the case of highest weight modules. We also consider the role of loop modules in the recent scheme for diagonalising certain quantum spin chains using their $\Uq$ symmetry.
|
1909.06214
|
Jiri Novotny
|
Filip P\v{r}eu\v{c}il and Ji\v{r}\'i Novotn\'y
|
Special Galileon at one loop
|
28 pages
| null |
10.1007/JHEP11(2019)166
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a complete one-loop renormalization of the Special Galileon
$S-$matrix. Especially we give a complete list of the higher derivative
operators which are necessary for one-loop on-shell renormalization and prove
the invariance of the one-loop on-shell effective action with respect to the
Special Galileon symmetry. This enables us to enlarge the validity of the
enhanced $O(p^3)$ soft behavior of the scattering amplitudes to the one-loop
level. As an illustration we discuss explicitly the four-point and five-point
one-loop scattering amplitudes and comment on some conjectures appearing in the
existing literature.
|
[
{
"created": "Fri, 13 Sep 2019 13:15:20 GMT",
"version": "v1"
}
] |
2020-01-29
|
[
[
"Přeučil",
"Filip",
""
],
[
"Novotný",
"Jiří",
""
]
] |
We present a complete one-loop renormalization of the Special Galileon $S-$matrix. Especially we give a complete list of the higher derivative operators which are necessary for one-loop on-shell renormalization and prove the invariance of the one-loop on-shell effective action with respect to the Special Galileon symmetry. This enables us to enlarge the validity of the enhanced $O(p^3)$ soft behavior of the scattering amplitudes to the one-loop level. As an illustration we discuss explicitly the four-point and five-point one-loop scattering amplitudes and comment on some conjectures appearing in the existing literature.
|
1906.05239
|
Oleg Novikov
|
Oleg O. Novikov
|
$\mathcal{PT}$-symmetric quantum field theory on the noncommutative
spacetime
|
13 pages, no figures; References accidentally lost in the first
version restored, some comments on the choice of NCG is given, few misprints
corrected
| null |
10.1142/S0217732320500121
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the $\mathcal{PT}$-symmetric quantum field theory on the
noncommutative spacetime with angular twist and construct its pseudo-Hermitian
interpretation. We explore the differences between internal and spatial
parities in the context of the angular twist and for the latter we find new
$\mathcal{PT}$-symmetric interactions that are nontrivial only for the
noncommutative spacetime. We reproduce the same formula for the leading order
$T$-matrix of the equivalent Hermitian model as the one obtained earlier for
the quantum field theory on the commutative spacetime. This formula implies
that the leading order scattering amplitude preserves the symmetries of the
noncommutative geometry if they are not broken in the non-Hermitian
formulation.
|
[
{
"created": "Wed, 12 Jun 2019 16:34:45 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Sep 2019 12:29:55 GMT",
"version": "v2"
}
] |
2019-10-25
|
[
[
"Novikov",
"Oleg O.",
""
]
] |
We consider the $\mathcal{PT}$-symmetric quantum field theory on the noncommutative spacetime with angular twist and construct its pseudo-Hermitian interpretation. We explore the differences between internal and spatial parities in the context of the angular twist and for the latter we find new $\mathcal{PT}$-symmetric interactions that are nontrivial only for the noncommutative spacetime. We reproduce the same formula for the leading order $T$-matrix of the equivalent Hermitian model as the one obtained earlier for the quantum field theory on the commutative spacetime. This formula implies that the leading order scattering amplitude preserves the symmetries of the noncommutative geometry if they are not broken in the non-Hermitian formulation.
|
2403.01750
|
Dan Xie
|
Yuanyuan Fang, Jing Feng, Dan Xie
|
On duality of four dimensional $\mathcal{N}=1$ gauge theory
|
31 pages, 6 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We show that Seiberg-like duality of $\mathcal{N}=1$ gauge theory coupled
with tensor chiral fields and fundamental chiral fields works if the meson
spectrum built from the tensor fields takes particular form: a) It should be
truncated; b) The $R$ charges of tensor fields $\{R_a\}$ and the truncated
mesons $\{R_j\}$ take very special values. The meson spectrum so that the
duality works is encoded elegantly in the factorization of the polynomial
$y^n-1=\Phi_{+}\Phi_{-}$. Our consideration covers many known $\mathcal{N}=1$
dualities and generates a large class of new examples.
|
[
{
"created": "Mon, 4 Mar 2024 06:07:38 GMT",
"version": "v1"
}
] |
2024-03-05
|
[
[
"Fang",
"Yuanyuan",
""
],
[
"Feng",
"Jing",
""
],
[
"Xie",
"Dan",
""
]
] |
We show that Seiberg-like duality of $\mathcal{N}=1$ gauge theory coupled with tensor chiral fields and fundamental chiral fields works if the meson spectrum built from the tensor fields takes particular form: a) It should be truncated; b) The $R$ charges of tensor fields $\{R_a\}$ and the truncated mesons $\{R_j\}$ take very special values. The meson spectrum so that the duality works is encoded elegantly in the factorization of the polynomial $y^n-1=\Phi_{+}\Phi_{-}$. Our consideration covers many known $\mathcal{N}=1$ dualities and generates a large class of new examples.
|
1605.00543
|
Alexander Gu{\ss}mann
|
Gia Dvali and Alexander Gu{\ss}mann
|
Skyrmion Black Hole Hair: Conservation of Baryon Number by Black Holes
and Observable Manifestations
|
49 pages, 17 figures, v3: Some details on quantum measurements of
topological baryon/skyrmion hair added. The version to be published in
Nuclear Physics B
|
Nucl. Phys. B913 (2016) 1001-1036
|
10.1016/j.nuclphysb.2016.10.017
|
LMU-ASC 18/16
|
hep-th astro-ph.HE gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the existence of black holes with classical skyrmion hair
invalidates standard proofs that global charges, such as the baryon number,
cannot be conserved by a black hole. By carefully analyzing the standard
arguments based on a Gedankenexperiment in which a black hole is
seemingly-unable to return the baryon number that it swallowed, we identify
inconsistencies in this reasoning, which does not take into the account neither
the existence of skyrmion black holes nor the baryon/skyrmion correspondence.
We then perform a refined Gedankenexperiment by incorporating the new knowledge
and show that no contradiction with conservation of baryon number takes place
at any stage of black hole evolution. Our analysis also indicates no conflict
between semi-classical black holes and the existence of baryonic gauge
interaction arbitrarily-weaker than gravity. Next, we study classical cross
sections of a minimally-coupled massless probe scalar field scattered by a
skyrmion black hole. We investigate how the skyrmion hair manifests itself by
comparing this cross section with the analogous cross section caused by a
Schwarzschild black hole which has the same ADM mass as the skyrmion black
hole. Here we find an order-one difference in the positions of the
characteristic peaks in the cross sections. The peaks are shifted to smaller
scattering angles when the skyrmion hair is present. This comes from the fact
that the skyrmion hair changes the near horizon geometry of the black hole when
compared to a Schwarzschild black hole with same ADM mass. We keep the study of
this second aspect general so that the qualitative results which we obtain can
also be applied to black holes with classical hair of different kind.
|
[
{
"created": "Mon, 2 May 2016 16:12:54 GMT",
"version": "v1"
},
{
"created": "Thu, 5 May 2016 19:25:03 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Nov 2016 14:39:40 GMT",
"version": "v3"
}
] |
2016-11-18
|
[
[
"Dvali",
"Gia",
""
],
[
"Gußmann",
"Alexander",
""
]
] |
We show that the existence of black holes with classical skyrmion hair invalidates standard proofs that global charges, such as the baryon number, cannot be conserved by a black hole. By carefully analyzing the standard arguments based on a Gedankenexperiment in which a black hole is seemingly-unable to return the baryon number that it swallowed, we identify inconsistencies in this reasoning, which does not take into the account neither the existence of skyrmion black holes nor the baryon/skyrmion correspondence. We then perform a refined Gedankenexperiment by incorporating the new knowledge and show that no contradiction with conservation of baryon number takes place at any stage of black hole evolution. Our analysis also indicates no conflict between semi-classical black holes and the existence of baryonic gauge interaction arbitrarily-weaker than gravity. Next, we study classical cross sections of a minimally-coupled massless probe scalar field scattered by a skyrmion black hole. We investigate how the skyrmion hair manifests itself by comparing this cross section with the analogous cross section caused by a Schwarzschild black hole which has the same ADM mass as the skyrmion black hole. Here we find an order-one difference in the positions of the characteristic peaks in the cross sections. The peaks are shifted to smaller scattering angles when the skyrmion hair is present. This comes from the fact that the skyrmion hair changes the near horizon geometry of the black hole when compared to a Schwarzschild black hole with same ADM mass. We keep the study of this second aspect general so that the qualitative results which we obtain can also be applied to black holes with classical hair of different kind.
|
0912.1980
|
Mahmood ul Hassan
|
Bushra Haider and M. Hassan
|
On algebraic structures in supersymmetric principal chiral model
| null |
Eur.Phys.J.C53:627-633,2008
|
10.1140/epjc/s10052-007-0483-4
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the Poisson current algebra of the supersymmetric principal chiral
model, we develop the algebraic canonical structure of the model by evaluating
the fundamental Poisson bracket of the Lax matrices that fits into the rs
matrix formalism of non-ultralocal integrable models. The fundamental Poisson
bracket has been used to compute the Poisson bracket algebra of the monodromy
matrix that gives the conserved quantities in involution.
|
[
{
"created": "Thu, 10 Dec 2009 12:15:02 GMT",
"version": "v1"
}
] |
2010-03-24
|
[
[
"Haider",
"Bushra",
""
],
[
"Hassan",
"M.",
""
]
] |
Using the Poisson current algebra of the supersymmetric principal chiral model, we develop the algebraic canonical structure of the model by evaluating the fundamental Poisson bracket of the Lax matrices that fits into the rs matrix formalism of non-ultralocal integrable models. The fundamental Poisson bracket has been used to compute the Poisson bracket algebra of the monodromy matrix that gives the conserved quantities in involution.
|
hep-th/9908183
|
Mans Henningson
|
Mans Henningson
|
Surface observables and the Weyl anomaly
|
3 pages. Latex. Talk given at QFTHEP'99 in Moscow, Russia, to appear
in the proceedings
| null | null |
Goteborg ITP 99-11
|
hep-th
| null |
I review the computation of the conformal anomaly of a Wilson surface
observable in free two-form gauge theory in six dimensions.
|
[
{
"created": "Fri, 27 Aug 1999 16:01:30 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Henningson",
"Mans",
""
]
] |
I review the computation of the conformal anomaly of a Wilson surface observable in free two-form gauge theory in six dimensions.
|
hep-th/0508083
|
Jerzy Lukierski
|
J. Lukierski and M. Woronowicz (Inst. Theor. Phys. Wroclaw Univ.)
|
New Lie-Algebraic and Quadratic Deformations of Minkowski Space from
Twisted Poincare Symmetries
|
LaTeX 16 pages. The version which appear in PLB
|
Phys.Lett. B633 (2006) 116-124
|
10.1016/j.physletb.2005.11.052
| null |
hep-th
| null |
We consider two new classes of twisted D=4 quantum Poincar\'{e} symmetries
described as the dual pairs of noncocommutative Hopf algebras. Firstly we
investigate a two-parameter class of twisted Poincar\'{e} algebras which
provide the examples of Lie-algebraic noncommutativity of the translations. The
corresponding associative star-products and new deformed Lie-algebraic
Minkowski spaces are introduced. We discuss further the twist deformations of
Poincar\'{e} symmetries generated by the twist with its carrier in Lorentz
algebra. We describe corresponding deformed Poincar\'{e} group which provides
the quadratic deformations of translation sector and define the quadratically
deformed Minkowski space-time algebra.
|
[
{
"created": "Thu, 11 Aug 2005 12:43:18 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Oct 2005 10:01:42 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Nov 2005 12:19:33 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Lukierski",
"J.",
"",
"Inst. Theor. Phys. Wroclaw Univ."
],
[
"Woronowicz",
"M.",
"",
"Inst. Theor. Phys. Wroclaw Univ."
]
] |
We consider two new classes of twisted D=4 quantum Poincar\'{e} symmetries described as the dual pairs of noncocommutative Hopf algebras. Firstly we investigate a two-parameter class of twisted Poincar\'{e} algebras which provide the examples of Lie-algebraic noncommutativity of the translations. The corresponding associative star-products and new deformed Lie-algebraic Minkowski spaces are introduced. We discuss further the twist deformations of Poincar\'{e} symmetries generated by the twist with its carrier in Lorentz algebra. We describe corresponding deformed Poincar\'{e} group which provides the quadratic deformations of translation sector and define the quadratically deformed Minkowski space-time algebra.
|
hep-th/0504144
|
Marija Zamaklar
|
Gleb Arutyunov and Marija Zamaklar
|
Linking Backlund and Monodromy Charges for Strings on AdS_5 x S^5
|
25 pages, 1 figure
|
JHEP 0507 (2005) 026
|
10.1088/1126-6708/2005/07/026
|
AEI-2005-003, SPIN-05/11, ITP-05/13
|
hep-th nlin.SI
| null |
We find an explicit relation between the two known ways of generating an
infinite set of local conserved charges for the string sigma model on AdS_5 x
S^5: the Backlund and monodromy approaches. We start by constructing the
two-parameter family of Backlund transformations for the string with an
arbitrary world-sheet metric. We then show that only for a special value of one
of the parameters the solutions generated by this transformation are compatible
with the Virasoro constraints. By solving the Backlund equations in a
non-perturbative fashion, we finally show that the generating functional of the
Backlund conservation laws is equal to a certain sum of the quasi-momenta. The
positions of the quasi-momenta in the complex spectral plane are uniquely
determined by the real parameter of the Backlund transform.
|
[
{
"created": "Mon, 18 Apr 2005 19:05:01 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Arutyunov",
"Gleb",
""
],
[
"Zamaklar",
"Marija",
""
]
] |
We find an explicit relation between the two known ways of generating an infinite set of local conserved charges for the string sigma model on AdS_5 x S^5: the Backlund and monodromy approaches. We start by constructing the two-parameter family of Backlund transformations for the string with an arbitrary world-sheet metric. We then show that only for a special value of one of the parameters the solutions generated by this transformation are compatible with the Virasoro constraints. By solving the Backlund equations in a non-perturbative fashion, we finally show that the generating functional of the Backlund conservation laws is equal to a certain sum of the quasi-momenta. The positions of the quasi-momenta in the complex spectral plane are uniquely determined by the real parameter of the Backlund transform.
|
0809.0704
|
Winder Alexander Moura-Melo
|
J.M. Fonseca, A.H. Gomes, and W.A.Moura-Melo
|
Emission and absorption of photons and the black-body spectra in
Lorentz-odd Electrodynamics
|
11 pages, Latex
|
Phys.Lett.B671:280-283,2009
|
10.1016/j.physletb.2008.12.029
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a number of issues related to the emission and absorption radiation
by non-relativistic electrons within the framework of a Lorentz-breaking
electrodynamics in (3+1) dimensions. Our main results concern how Planck-like
spectrum law is sensitive to terms that violate Lorentz symmetry. We have
realized that Planck law acquires extra terms proportional to the violating
parameters: for the CPT-odd model, the leading extra terms appear to be linear
or quadratic in these violating parameters according to the background vector
is parallel or perpendicular to the photon wave-vector. In the CPT-even case a
linear `correction' shows up. Among other possible ways to probe for these
violations, by means of the present results, we may quote the direct
observation of the extra contributions or an unbalancing in the mean occupation
number of photon modes in a given thermal bath.
|
[
{
"created": "Wed, 3 Sep 2008 20:33:55 GMT",
"version": "v1"
}
] |
2009-01-14
|
[
[
"Fonseca",
"J. M.",
""
],
[
"Gomes",
"A. H.",
""
],
[
"Moura-Melo",
"W. A.",
""
]
] |
We study a number of issues related to the emission and absorption radiation by non-relativistic electrons within the framework of a Lorentz-breaking electrodynamics in (3+1) dimensions. Our main results concern how Planck-like spectrum law is sensitive to terms that violate Lorentz symmetry. We have realized that Planck law acquires extra terms proportional to the violating parameters: for the CPT-odd model, the leading extra terms appear to be linear or quadratic in these violating parameters according to the background vector is parallel or perpendicular to the photon wave-vector. In the CPT-even case a linear `correction' shows up. Among other possible ways to probe for these violations, by means of the present results, we may quote the direct observation of the extra contributions or an unbalancing in the mean occupation number of photon modes in a given thermal bath.
|
2212.08673
|
Jerry Wu
|
Jerry Wu, Robert B. Mann
|
Thermodynamically Stable Phases of Asymptotically Flat Lovelock Black
Holes
|
References added
| null |
10.1088/1361-6382/acdd41
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the first examples of phase transitions in asymptotically flat
black hole solutions. We analyze the thermodynamic properties of black holes in
order $N\ge 3$ Lovelock gravity, with zero cosmological constant. We find a new
type of "inverted" swallowtail indicative of stable temperature regions for an
otherwise unstable neutral black hole, and demonstrate multiple such stable
phases can exist and coexist at multi-critical points. We also find that for
charged black holes, ordinary swallowtails can exist on the stable Gibbs free
energy branch, allowing for multiple first order phase transitions as seen for
AdS black holes. A triple point for $N=5$ and a quadruple point for $N=7$ are
presented explicitly. We investigate changes in the Gibbs free energy as the
lowest order Lovelock constant is varied, and draw comparisons to pressure
changes for AdS black hole systems.
|
[
{
"created": "Fri, 16 Dec 2022 19:00:04 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Dec 2022 18:35:43 GMT",
"version": "v2"
},
{
"created": "Mon, 2 Jan 2023 20:00:59 GMT",
"version": "v3"
}
] |
2023-07-05
|
[
[
"Wu",
"Jerry",
""
],
[
"Mann",
"Robert B.",
""
]
] |
We present the first examples of phase transitions in asymptotically flat black hole solutions. We analyze the thermodynamic properties of black holes in order $N\ge 3$ Lovelock gravity, with zero cosmological constant. We find a new type of "inverted" swallowtail indicative of stable temperature regions for an otherwise unstable neutral black hole, and demonstrate multiple such stable phases can exist and coexist at multi-critical points. We also find that for charged black holes, ordinary swallowtails can exist on the stable Gibbs free energy branch, allowing for multiple first order phase transitions as seen for AdS black holes. A triple point for $N=5$ and a quadruple point for $N=7$ are presented explicitly. We investigate changes in the Gibbs free energy as the lowest order Lovelock constant is varied, and draw comparisons to pressure changes for AdS black hole systems.
|
hep-th/0606141
|
Daniel Kabat
|
Alex Hamilton, Daniel Kabat, Gilad Lifschytz, David A. Lowe
|
Holographic representation of local bulk operators
|
36 pages, LaTeX, 4 eps figures
|
Phys.Rev.D74:066009,2006
|
10.1103/PhysRevD.74.066009
|
CU-TP-1149
|
hep-th
| null |
The Lorentzian AdS/CFT correspondence implies a map between local operators
in supergravity and non-local operators in the CFT. By explicit computation we
construct CFT operators which are dual to local bulk fields in the
semiclassical limit. The computation is done for general dimension in global,
Poincare and Rindler coordinates. We find that the CFT operators can be taken
to have compact support in a region of the complexified boundary whose size is
set by the bulk radial position. We show that at finite N the number of
independent commuting operators localized within a bulk volume saturates the
holographic bound.
|
[
{
"created": "Thu, 15 Jun 2006 16:21:07 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Hamilton",
"Alex",
""
],
[
"Kabat",
"Daniel",
""
],
[
"Lifschytz",
"Gilad",
""
],
[
"Lowe",
"David A.",
""
]
] |
The Lorentzian AdS/CFT correspondence implies a map between local operators in supergravity and non-local operators in the CFT. By explicit computation we construct CFT operators which are dual to local bulk fields in the semiclassical limit. The computation is done for general dimension in global, Poincare and Rindler coordinates. We find that the CFT operators can be taken to have compact support in a region of the complexified boundary whose size is set by the bulk radial position. We show that at finite N the number of independent commuting operators localized within a bulk volume saturates the holographic bound.
|
0910.0541
|
Harold Blas
|
H. Blas, H.L. Carrion and B.M. Cerna
|
Some comments on the integrability of the noncommutative generalized
massive Thirring model
|
7 pages, LaTex. Poster contribution to the Fifth International School
on Field Theory and Gravitation, Cuiaba', Mato Grosso, MT, Brasil, April
20-24 2009
|
PoS ISFTG:042,2009
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Some properties of a non-commutative version of the generalized massive
Thirring theory (NCGMT) are studied. We develop explicit calculations for the
affine Lie algebra $gl(3)$ case. The NCGMT model is written in terms of Dirac
type fields corresponding to the Moyal product extension of the ordinary
multi-field massive Thirring model. We discuss the Lagrangian formulation, its
zero-curvature representation and integrability property of certain submodels.
|
[
{
"created": "Sat, 3 Oct 2009 12:50:55 GMT",
"version": "v1"
}
] |
2009-10-06
|
[
[
"Blas",
"H.",
""
],
[
"Carrion",
"H. L.",
""
],
[
"Cerna",
"B. M.",
""
]
] |
Some properties of a non-commutative version of the generalized massive Thirring theory (NCGMT) are studied. We develop explicit calculations for the affine Lie algebra $gl(3)$ case. The NCGMT model is written in terms of Dirac type fields corresponding to the Moyal product extension of the ordinary multi-field massive Thirring model. We discuss the Lagrangian formulation, its zero-curvature representation and integrability property of certain submodels.
|
2104.02543
|
Prafulla Shrikant Oak
|
Prafulla Oak
|
Computing quivers for two and higher loops for the colored planar
$\phi^3$ theory
|
33 pages, multiple figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce Feynman-like rules to compute quivers for two loops and higher
for the coloured planar $\phi^3$ theory for winding number zero. We demonstrate
this for a few cases.
|
[
{
"created": "Tue, 6 Apr 2021 14:34:08 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Jan 2022 21:41:04 GMT",
"version": "v2"
}
] |
2022-01-21
|
[
[
"Oak",
"Prafulla",
""
]
] |
We introduce Feynman-like rules to compute quivers for two loops and higher for the coloured planar $\phi^3$ theory for winding number zero. We demonstrate this for a few cases.
|
1910.09460
|
Takahiro Terada
|
Kenji Kadota, Chang Sub Shin, Takahiro Terada, Gansukh Tumurtushaa
|
Trans-Planckian censorship and single-field inflaton potential
|
30 pages, 4 figures; published version (minor revision)
|
JCAP01 (2020) 008
|
10.1088/1475-7516/2020/01/008
|
CTPU-PTC-19-29
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It was recently proposed that a field theory cannot be consistent with
quantum gravity if it allows a mode shorter than the Planck length to exit the
Hubble horizon. This is called the Trans-Planckian Censorship Conjecture (TCC).
We discuss the implications of the TCC on the possible shape of the inflaton
potential in single-field slow-roll inflation. We point out that (1) there is
generically an initial condition in which the total e-folding number
$N_\text{total}$ is doubled or more compared to the e-folds necessary for the
cosmic microwave background fluctuations, and (2) a sizable negative running of
spectral index is generically expected to make $N_\text{total}$ small. In
concrete setups, we find a stringent constraint on the inflationary energy
scale, $V_\text{inf}^{1/4} < \mathcal{O}(10) \, \text{TeV}$ with $r <
\mathcal{O}(10^{-50})$, and the running parameter is bounded above as
$\alpha_\text{s} \lesssim - 4 \times 10^{-3}$.
|
[
{
"created": "Mon, 21 Oct 2019 15:43:15 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jan 2020 04:34:12 GMT",
"version": "v2"
}
] |
2020-01-06
|
[
[
"Kadota",
"Kenji",
""
],
[
"Shin",
"Chang Sub",
""
],
[
"Terada",
"Takahiro",
""
],
[
"Tumurtushaa",
"Gansukh",
""
]
] |
It was recently proposed that a field theory cannot be consistent with quantum gravity if it allows a mode shorter than the Planck length to exit the Hubble horizon. This is called the Trans-Planckian Censorship Conjecture (TCC). We discuss the implications of the TCC on the possible shape of the inflaton potential in single-field slow-roll inflation. We point out that (1) there is generically an initial condition in which the total e-folding number $N_\text{total}$ is doubled or more compared to the e-folds necessary for the cosmic microwave background fluctuations, and (2) a sizable negative running of spectral index is generically expected to make $N_\text{total}$ small. In concrete setups, we find a stringent constraint on the inflationary energy scale, $V_\text{inf}^{1/4} < \mathcal{O}(10) \, \text{TeV}$ with $r < \mathcal{O}(10^{-50})$, and the running parameter is bounded above as $\alpha_\text{s} \lesssim - 4 \times 10^{-3}$.
|
hep-th/9409098
|
Michael Douglas
|
Michael R. Douglas
|
Large N Gauge Theory -- Expansions and Transitions
|
RU-94-72 (LaTeX with espcrc2.sty and epsf.sty, 26 pp., 6 figures.
References added and other improvements.)
|
Nucl.Phys.Proc.Suppl. 41 (1995) 66-91
|
10.1016/0920-5632(95)00431-8
| null |
hep-th
| null |
We use solvable two-dimensional gauge theories to illustrate the issues in
relating large N gauge theory to string theory. We also give an introduction to
recent mathematical work which allows constructing master fields for higher
dimensional large N theories. We illustrate this with a new derivation of the
Hopf equation governing the evolution of the spectral density in matrix quantum
mechanics. Based on lectures given at the 1994 Trieste Spring School on String
Theory, Gauge Theory and Quantum Gravity.
|
[
{
"created": "Sun, 18 Sep 1994 02:38:46 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Sep 1994 21:21:54 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Douglas",
"Michael R.",
""
]
] |
We use solvable two-dimensional gauge theories to illustrate the issues in relating large N gauge theory to string theory. We also give an introduction to recent mathematical work which allows constructing master fields for higher dimensional large N theories. We illustrate this with a new derivation of the Hopf equation governing the evolution of the spectral density in matrix quantum mechanics. Based on lectures given at the 1994 Trieste Spring School on String Theory, Gauge Theory and Quantum Gravity.
|
hep-th/0504220
|
Michail Stoilov
|
M. Stoilov
|
Duality between constraints and gauge conditions
|
7 pages, LaTeX, some changes in the BRST section
|
AnnalenPhys.16:529-542,2007
|
10.1002/andp.200710247
| null |
hep-th
| null |
It is shown that in the first order gauge theories under some general
assumptions gauge conditions can play the role of new local symmetry
generators, while the original constraints become gauge fixing terms. It is
possible to associate with this new symmetry a second BRST charge and its
anticommutator with the original BRST charge is the Hodge operator of the
corresponding cohomology complex.
|
[
{
"created": "Wed, 27 Apr 2005 14:48:07 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Apr 2005 13:52:04 GMT",
"version": "v2"
},
{
"created": "Tue, 10 May 2005 14:05:26 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Stoilov",
"M.",
""
]
] |
It is shown that in the first order gauge theories under some general assumptions gauge conditions can play the role of new local symmetry generators, while the original constraints become gauge fixing terms. It is possible to associate with this new symmetry a second BRST charge and its anticommutator with the original BRST charge is the Hodge operator of the corresponding cohomology complex.
|
1101.0773
|
Mikhail V. Ioffe
|
A.A.Andrianov, M.V.Ioffe and Tsu Zhun-Pin
|
Factorization Method in Curvilinear Coordinates and Pairing of Levels
for Matrix Potentials
|
9 p.p., translated from Russian (see journal reference below)
|
Vestn.Leningrad.Univ.(Ser.4 Fiz.Khim.),4:3-9,1988
| null | null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Multidimensional factorization method is formulated in arbitrary curvilinear
coordinates. Particular cases of polar and spherical coordinates are considered
and matrix potentials with separating variables are constructed. A new class of
matrix potentials is obtained which reveals a double degeneracy or equidistant
splitting of energy levels (hidden symmetry).
|
[
{
"created": "Tue, 4 Jan 2011 17:31:09 GMT",
"version": "v1"
}
] |
2011-03-07
|
[
[
"Andrianov",
"A. A.",
""
],
[
"Ioffe",
"M. V.",
""
],
[
"Zhun-Pin",
"Tsu",
""
]
] |
Multidimensional factorization method is formulated in arbitrary curvilinear coordinates. Particular cases of polar and spherical coordinates are considered and matrix potentials with separating variables are constructed. A new class of matrix potentials is obtained which reveals a double degeneracy or equidistant splitting of energy levels (hidden symmetry).
|
1902.07945
|
Xiao-Mei Kuang
|
Hong Guo, Xiao-Mei Kuang and Bin Wang
|
Holographic entanglement entropy and complexity in St$\ddot{u}$ckelberg
superconductor
|
13 pages,5 figures; Published version
|
Physics Letters B 797 (2019) 134879
|
10.1016/j.physletb.2019.134879
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The holographic superconductors, as one of the most important application of
gauge/gravity duality, promote the study of strongly coupled superconductors
via classical general relativity living in one higher dimension. One of the
interesting properties in holographic superconductor is the appearance of first
and second order phase transitions. Recently, another active studies in
holographic framework is the holographic entanglement entropy and complexity
evaluated from gravity side. In this note, we study the properties of the
holographic entanglement entropy and complexity crossing both first and second
order phase transitions in St$\ddot{u}$ckelberg superconductor. We find that
they behave differently in two types of phase transitions. We argue that
holographic entanglement entropy and complexity conjectured with the volume can
also be a possible probe to the type of superconducting phase transition.
|
[
{
"created": "Thu, 21 Feb 2019 10:11:35 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Aug 2019 23:38:10 GMT",
"version": "v2"
}
] |
2019-08-29
|
[
[
"Guo",
"Hong",
""
],
[
"Kuang",
"Xiao-Mei",
""
],
[
"Wang",
"Bin",
""
]
] |
The holographic superconductors, as one of the most important application of gauge/gravity duality, promote the study of strongly coupled superconductors via classical general relativity living in one higher dimension. One of the interesting properties in holographic superconductor is the appearance of first and second order phase transitions. Recently, another active studies in holographic framework is the holographic entanglement entropy and complexity evaluated from gravity side. In this note, we study the properties of the holographic entanglement entropy and complexity crossing both first and second order phase transitions in St$\ddot{u}$ckelberg superconductor. We find that they behave differently in two types of phase transitions. We argue that holographic entanglement entropy and complexity conjectured with the volume can also be a possible probe to the type of superconducting phase transition.
|
1008.0279
|
Bernd Schroers
|
G Papageorgiou and B J Schroers
|
Galilean quantum gravity with cosmological constant and the extended
q-Heisenberg algebra
|
22 pages
|
JHEP 1011:020,2010
|
10.1007/JHEP11(2010)020
|
EMPG 10-09
|
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We define a theory of Galilean gravity in 2+1 dimensions with cosmological
constant as a Chern-Simons gauge theory of the doubly-extended Newton-Hooke
group, extending our previous study of classical and quantum gravity in 2+1
dimensions in the Galilean limit. We exhibit an r-matrix which is compatible
with our Chern-Simons action (in a sense to be defined) and show that the
associated bi-algebra structure of the Newton-Hooke Lie algebra is that of the
classical double of the extended Heisenberg algebra. We deduce that, in the
quantisation of the theory according to the combinatorial quantisation
programme, much of the quantum theory is determined by the quantum double of
the extended q-deformed Heisenberg algebra.
|
[
{
"created": "Mon, 2 Aug 2010 11:42:53 GMT",
"version": "v1"
}
] |
2010-11-11
|
[
[
"Papageorgiou",
"G",
""
],
[
"Schroers",
"B J",
""
]
] |
We define a theory of Galilean gravity in 2+1 dimensions with cosmological constant as a Chern-Simons gauge theory of the doubly-extended Newton-Hooke group, extending our previous study of classical and quantum gravity in 2+1 dimensions in the Galilean limit. We exhibit an r-matrix which is compatible with our Chern-Simons action (in a sense to be defined) and show that the associated bi-algebra structure of the Newton-Hooke Lie algebra is that of the classical double of the extended Heisenberg algebra. We deduce that, in the quantisation of the theory according to the combinatorial quantisation programme, much of the quantum theory is determined by the quantum double of the extended q-deformed Heisenberg algebra.
|
hep-th/9212143
| null |
Patrick Dorey
|
Hidden geometrical structures in integrable models
|
15 pages, preprint NI92018. (one minor elucidation in the last
section)
| null | null | null |
hep-th
| null |
The bootstrap equations for the ADE series of purely elastic scattering
theories have turned out to be intimately connected with the geometry of root
systems and the Coxeter element. An informal review of some of this material is
given, mentioning also a couple of other contexts -- the Pasquier models, and
the simply-laced affine Toda field theories -- where similar structures are
encountered. The relevance of twisted Coxeter elements is indicated, and a
construction of these elements inspired by the twisted foldings of the affine
Toda models is described.
|
[
{
"created": "Wed, 23 Dec 1992 15:45:00 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Dec 1992 17:36:00 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Dorey",
"Patrick",
""
]
] |
The bootstrap equations for the ADE series of purely elastic scattering theories have turned out to be intimately connected with the geometry of root systems and the Coxeter element. An informal review of some of this material is given, mentioning also a couple of other contexts -- the Pasquier models, and the simply-laced affine Toda field theories -- where similar structures are encountered. The relevance of twisted Coxeter elements is indicated, and a construction of these elements inspired by the twisted foldings of the affine Toda models is described.
|
hep-th/0202098
|
Shin'ichi Nojiri
|
Shin'ichi Nojiri, Sergei D. Odintsov, and Sachiko Ogushi
|
Graviton correlator and metric perturbations in de Sitter brane-world
|
LaTeX file, 20 pages, minor changes
|
Phys.Rev.D66:023522,2002
|
10.1103/PhysRevD.66.023522
|
YITP-02-9
|
hep-th hep-ph
| null |
We consider de Sitter brane-world motivated by dS/CFT correspondence where
both bulk and brane are de Sitter spaces. The brane tension is fixed by
holographic RG. The 4d effective action for metric perturbations and 4d
graviton correlator are explicitly found. The induced values of cosmological
and Newton constants are calculated. The short distance behaviour of the
graviton correlator (when no brane matter presents) turns out to be
significally stronger than in the case of General Relativity. It is shown that
quantum brane CFT gives the dominant contribution to graviton correlator on
small scales like in Brane New World scenario.
|
[
{
"created": "Sat, 16 Feb 2002 01:58:51 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Jun 2002 04:21:59 GMT",
"version": "v2"
}
] |
2009-09-17
|
[
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
],
[
"Ogushi",
"Sachiko",
""
]
] |
We consider de Sitter brane-world motivated by dS/CFT correspondence where both bulk and brane are de Sitter spaces. The brane tension is fixed by holographic RG. The 4d effective action for metric perturbations and 4d graviton correlator are explicitly found. The induced values of cosmological and Newton constants are calculated. The short distance behaviour of the graviton correlator (when no brane matter presents) turns out to be significally stronger than in the case of General Relativity. It is shown that quantum brane CFT gives the dominant contribution to graviton correlator on small scales like in Brane New World scenario.
|
hep-th/9902164
|
Bodo Geyer
|
Bodo Geyer and Dietmar M\"ulsch
|
osp(1,2)-covariant Lagrangian quantization of irreducible massive gauge
theories with generic background configurations
|
35 pages, AMSTEX; added are two Appendices with proof that the
presented solutions in Sect. 4 and 5 are the most general ones; partly
rewritten Introduction and Conclusion; change of References
|
Nucl.Phys. B564 (2000) 517-554
|
10.1016/S0550-3213(99)00603-3
|
NTZ 06/99
|
hep-th
| null |
In the framework of osp(1,2)-symmetric quantization of irreducible massive
gauge theories the background field method is studied for the simplest case of
a linear splitting of the gauge field into a background configuration and the
quantum fluctuations. The symmetries of that approach - including three types
of background-dependent gauge transformations - are expressed by Ward
identities. From these identities together with the equations of motion of the
auxiliary field the background dependence of the vertex functions and of the
Greens functions is determined. It is proven that the introduction of a
background field does not change the ultraviolet asymptotics of the theory.
|
[
{
"created": "Tue, 23 Feb 1999 13:35:02 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Sep 1999 15:19:54 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Geyer",
"Bodo",
""
],
[
"Mülsch",
"Dietmar",
""
]
] |
In the framework of osp(1,2)-symmetric quantization of irreducible massive gauge theories the background field method is studied for the simplest case of a linear splitting of the gauge field into a background configuration and the quantum fluctuations. The symmetries of that approach - including three types of background-dependent gauge transformations - are expressed by Ward identities. From these identities together with the equations of motion of the auxiliary field the background dependence of the vertex functions and of the Greens functions is determined. It is proven that the introduction of a background field does not change the ultraviolet asymptotics of the theory.
|
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