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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1502.07707
|
Tomasz Lukowski
|
Luis F. Alday, Agnese Bissi and Tomasz Lukowski
|
Large spin systematics in CFT
|
20 pages; v2: version published in JHEP
| null |
10.1007/JHEP11(2015)101
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using conformal field theory (CFT) arguments we derive an infinite number of
constraints on the large spin expansion of the anomalous dimensions and
structure constants of higher spin operators. These arguments rely only on
analiticity, unitarity, crossing-symmetry and the structure of the conformal
partial wave expansion. We obtain results for both, perturbative CFT to all
order in the perturbation parameter, as well as non-perturbatively. For the
case of conformal gauge theories this provides a proof of the reciprocity
principle to all orders in perturbation theory and provides a new "reciprocity"
principle for structure constants. We argue that these results extend also to
non-conformal theories.
|
[
{
"created": "Thu, 26 Feb 2015 20:05:41 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jan 2016 15:01:04 GMT",
"version": "v2"
}
] |
2016-01-27
|
[
[
"Alday",
"Luis F.",
""
],
[
"Bissi",
"Agnese",
""
],
[
"Lukowski",
"Tomasz",
""
]
] |
Using conformal field theory (CFT) arguments we derive an infinite number of constraints on the large spin expansion of the anomalous dimensions and structure constants of higher spin operators. These arguments rely only on analiticity, unitarity, crossing-symmetry and the structure of the conformal partial wave expansion. We obtain results for both, perturbative CFT to all order in the perturbation parameter, as well as non-perturbatively. For the case of conformal gauge theories this provides a proof of the reciprocity principle to all orders in perturbation theory and provides a new "reciprocity" principle for structure constants. We argue that these results extend also to non-conformal theories.
|
hep-th/0611241
|
Michael Koehn
|
Michael Flohr, Carsten Grabow and Michael Koehn
|
Fermionic Expressions for the Characters of c(p,1) Logarithmic Conformal
Field Theories
|
19 pages, LaTeX; v2: typos corrected. This is the version accepted
for publication in Nucl. Phys. B
|
Nucl.Phys.B768:263-276,2007
|
10.1016/j.nuclphysb.2007.01.025
|
ITP-UH-25/06
|
hep-th math-ph math.MP
| null |
We present fermionic quasi-particle sum representations consisting of a
single fundamental fermionic form for all characters of the logarithmic
conformal field theory models with central charge c(p,1), p>=2, and suggest a
physical interpretation. We also show that it is possible to correctly extract
dilogarithm identities.
|
[
{
"created": "Wed, 22 Nov 2006 17:10:37 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Feb 2007 15:31:43 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Flohr",
"Michael",
""
],
[
"Grabow",
"Carsten",
""
],
[
"Koehn",
"Michael",
""
]
] |
We present fermionic quasi-particle sum representations consisting of a single fundamental fermionic form for all characters of the logarithmic conformal field theory models with central charge c(p,1), p>=2, and suggest a physical interpretation. We also show that it is possible to correctly extract dilogarithm identities.
|
hep-th/9809128
|
J. Bijtebier
|
J. Bijtebier
|
3D reduction of the three-fermion Bethe-Salpeter equation
|
Contribution to the XVIth European Conference on Few-body Problems in
Physics AUTRANS (France) June 1-6 1998. 4pp in LaTex
|
Few Body Syst.Suppl.10:127-130,1999
| null |
VUB/TENA/98/02
|
hep-th nucl-th
| null |
We present a 3D approximation of the three-fermion Bethe-Salpeter equation.
Our 3D equation is covariantly cluster separable and the two-fermion cluster
separated limits are exact equivalents of the corresponding two-fermion
Bethe-Salpeter equations. The potentials include positive free energy
projectors in order to avoid continuum dissolution.
|
[
{
"created": "Thu, 17 Sep 1998 08:00:16 GMT",
"version": "v1"
}
] |
2011-04-15
|
[
[
"Bijtebier",
"J.",
""
]
] |
We present a 3D approximation of the three-fermion Bethe-Salpeter equation. Our 3D equation is covariantly cluster separable and the two-fermion cluster separated limits are exact equivalents of the corresponding two-fermion Bethe-Salpeter equations. The potentials include positive free energy projectors in order to avoid continuum dissolution.
|
hep-th/0602280
|
Sven F. Kerstan
|
Eric A. Bergshoeff, Mees de Roo, Sven F. Kerstan, Tomas Ortin, Fabio
Riccioni
|
IIA Ten-forms and the Gauge Algebras of Maximal Supergravity Theories
|
18 pages, section on IIA 9-branes added, references added; version to
be published
|
JHEP0607:018,2006
|
10.1088/1126-6708/2006/07/018
| null |
hep-th
| null |
We show that IIA supergravity can be extended with two independent 10-form
potentials. These give rise to a single BPS IIA 9-brane. We investigate the
bosonic gauge algebra of both IIA and IIB supergravity in the presence of
10-form potentials and point out an intriguing relation with the symmetry
algebra $E_{11}$, which has been conjectured to be the underlying symmetry of
string theory/M-theory.
|
[
{
"created": "Mon, 27 Feb 2006 14:36:45 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jul 2006 11:25:42 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Bergshoeff",
"Eric A.",
""
],
[
"de Roo",
"Mees",
""
],
[
"Kerstan",
"Sven F.",
""
],
[
"Ortin",
"Tomas",
""
],
[
"Riccioni",
"Fabio",
""
]
] |
We show that IIA supergravity can be extended with two independent 10-form potentials. These give rise to a single BPS IIA 9-brane. We investigate the bosonic gauge algebra of both IIA and IIB supergravity in the presence of 10-form potentials and point out an intriguing relation with the symmetry algebra $E_{11}$, which has been conjectured to be the underlying symmetry of string theory/M-theory.
|
1609.01413
|
Kenji Nishiwaki
|
Yukihiro Fujimoto, Kouhei Hasegawa, Kenji Nishiwaki, Makoto Sakamoto
and Kentaro Tatsumi
|
6d Dirac fermion on a rectangle; scrutinizing boundary conditions, mode
functions and spectrum
|
26 pages, 2 tables (v1); 39 pages, 3 tables, accepted to Nuclear
Physics B (v2)
|
Nucl. Phys. B922 (2017) 186-225
|
10.1016/j.nuclphysb.2017.06.024
|
KIAS-P16066, KOBE-TH-16-05
|
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We classify possible boundary conditions of a 6d Dirac fermion $\Psi$ on a
rectangle under the requirement that the 4d Lorentz structure is maintained,
and derive the profiles and spectrum of the zero modes and nonzero KK modes
under the two specific boundary conditions, (i) 4d-chirality positive
components being zero at the boundaries and (ii) 2d-chirality positive
components being zero at the boundaries. In the case of (i), twofold
degenerated chiral zero modes appear which are localized towards specific
directions of the rectangle pointed by an angle parameter $\theta$. This leads
to an implication for a new direction of pursuing the origin of three
generations in the matter fields of the standard model, even though
triple-degenerated zero modes are not realized in the six dimensions. The
emergence of the angle parameter $\theta$ originates from a rotational symmetry
in the degenerated chiral zero modes on the rectangle extra dimensions since
they do not feel the boundaries. In the case of (ii), this rotational symmetry
is promoted to the two-dimensional conformal symmetry though no chiral massless
zero mode appears. We also discuss the correspondence between our model on a
rectangle and orbifold models in some details.
|
[
{
"created": "Tue, 6 Sep 2016 07:29:09 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Jul 2017 07:10:28 GMT",
"version": "v2"
}
] |
2017-07-21
|
[
[
"Fujimoto",
"Yukihiro",
""
],
[
"Hasegawa",
"Kouhei",
""
],
[
"Nishiwaki",
"Kenji",
""
],
[
"Sakamoto",
"Makoto",
""
],
[
"Tatsumi",
"Kentaro",
""
]
] |
We classify possible boundary conditions of a 6d Dirac fermion $\Psi$ on a rectangle under the requirement that the 4d Lorentz structure is maintained, and derive the profiles and spectrum of the zero modes and nonzero KK modes under the two specific boundary conditions, (i) 4d-chirality positive components being zero at the boundaries and (ii) 2d-chirality positive components being zero at the boundaries. In the case of (i), twofold degenerated chiral zero modes appear which are localized towards specific directions of the rectangle pointed by an angle parameter $\theta$. This leads to an implication for a new direction of pursuing the origin of three generations in the matter fields of the standard model, even though triple-degenerated zero modes are not realized in the six dimensions. The emergence of the angle parameter $\theta$ originates from a rotational symmetry in the degenerated chiral zero modes on the rectangle extra dimensions since they do not feel the boundaries. In the case of (ii), this rotational symmetry is promoted to the two-dimensional conformal symmetry though no chiral massless zero mode appears. We also discuss the correspondence between our model on a rectangle and orbifold models in some details.
|
1109.2530
|
Herbert Hamber
|
Herbert W. Hamber and Ruth M. Williams
|
Discrete Wheeler-DeWitt Equation
|
45 pages, 8 figures
| null |
10.1103/PhysRevD.84.104033
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a discrete form of the Wheeler-DeWitt equation for quantum
gravitation, based on the lattice formulation due to Regge. In this setup the
infinite-dimensional manifold of 3-geometries is replaced by a space of
three-dimensional piecewise linear spaces, with the solutions to the lattice
equations providing a suitable approximation to the continuum wave functional.
The equations incorporate a set of constraints on the quantum wavefunctional,
arising from the triangle inequalities and their higher dimensional analogs.
The character of the solutions is discussed in the strong coupling (large $G$)
limit, where it is shown that the wavefunctional only depends on geometric
quantities, such as areas and volumes. An explicit form, determined from the
discrete wave equation supplemented by suitable regularity conditions, shows
peaks corresponding to integer multiples of a fundamental unit of volume. An
application of the variational method using correlated product wavefunctions
suggests a relationship between quantum gravity in $n+1$ dimensions, and
averages computed in the Euclidean path integral formulation in $n$ dimensions.
The proposed discrete equations could provide a useful, and complementary,
computational alternative to the Euclidean lattice path integral approach to
quantum gravity.
|
[
{
"created": "Mon, 12 Sep 2011 16:50:00 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Sep 2011 10:24:54 GMT",
"version": "v2"
},
{
"created": "Fri, 4 Nov 2011 00:45:08 GMT",
"version": "v3"
}
] |
2013-01-07
|
[
[
"Hamber",
"Herbert W.",
""
],
[
"Williams",
"Ruth M.",
""
]
] |
We present a discrete form of the Wheeler-DeWitt equation for quantum gravitation, based on the lattice formulation due to Regge. In this setup the infinite-dimensional manifold of 3-geometries is replaced by a space of three-dimensional piecewise linear spaces, with the solutions to the lattice equations providing a suitable approximation to the continuum wave functional. The equations incorporate a set of constraints on the quantum wavefunctional, arising from the triangle inequalities and their higher dimensional analogs. The character of the solutions is discussed in the strong coupling (large $G$) limit, where it is shown that the wavefunctional only depends on geometric quantities, such as areas and volumes. An explicit form, determined from the discrete wave equation supplemented by suitable regularity conditions, shows peaks corresponding to integer multiples of a fundamental unit of volume. An application of the variational method using correlated product wavefunctions suggests a relationship between quantum gravity in $n+1$ dimensions, and averages computed in the Euclidean path integral formulation in $n$ dimensions. The proposed discrete equations could provide a useful, and complementary, computational alternative to the Euclidean lattice path integral approach to quantum gravity.
|
hep-th/9604045
|
Achim Kempf
|
Achim Kempf (DAMTP, Cambridge, U.K.)
|
Nonpointlike Particles in Harmonic Oscillators
|
LaTeX, 9 pages, 1 figure included via epsf option
|
J.Phys.A30:2093-2102,1997
|
10.1088/0305-4470/30/6/030
|
DAMTP/96-39
|
hep-th cond-mat nucl-th
| null |
Quantum mechanics ordinarily describes particles as being pointlike, in the
sense that the uncertainty $\Delta x$ can, in principle, be made arbitrarily
small. It has been shown that suitable correction terms to the canonical
commutation relations induce a finite lower bound to spatial localisation.
Here, we perturbatively calculate the corrections to the energy levels of an in
this sense nonpointlike particle in isotropic harmonic oscillators. Apart from
a special case the degeneracy of the energy levels is removed.
|
[
{
"created": "Tue, 9 Apr 1996 09:41:09 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Kempf",
"Achim",
"",
"DAMTP, Cambridge, U.K."
]
] |
Quantum mechanics ordinarily describes particles as being pointlike, in the sense that the uncertainty $\Delta x$ can, in principle, be made arbitrarily small. It has been shown that suitable correction terms to the canonical commutation relations induce a finite lower bound to spatial localisation. Here, we perturbatively calculate the corrections to the energy levels of an in this sense nonpointlike particle in isotropic harmonic oscillators. Apart from a special case the degeneracy of the energy levels is removed.
|
hep-th/9304043
|
Friedrich Wilhelm Hehl
|
E.W. Mielke, F. Gronwald, Y.N. Obukhov, R. Tresguerres, and F.W. Hehl
|
Towards complete integrability of two dimensional Poincar\'e gauge
gravity
|
35 pages, report Cologne-thp-1993-H6
|
Phys.Rev. D48 (1993) 3648-3662
|
10.1103/PhysRevD.48.3648
| null |
hep-th gr-qc
| null |
It is shown that gravity on the line can be described by the two dimensional
(2D) Hilbert-Einstein Lagrangian supplemented by a kinetic term for the coframe
and a translational {\it boundary} term. The resulting model is equivalent to a
Yang-Mills theory of local {\it translations} and frozen Lorentz gauge degrees.
We will show that this restricted Poincar\'e gauge model in 2 dimensions is
completely integrable. {\it Exact} wave, charged black hole, and `dilaton'
solutions are then readily found. In vacuum, the integrability of the {\it
general} 2D Poincar\'e gauge theory is formally proved along the same line of
reasoning.
|
[
{
"created": "Sat, 10 Apr 1993 23:42:24 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Mielke",
"E. W.",
""
],
[
"Gronwald",
"F.",
""
],
[
"Obukhov",
"Y. N.",
""
],
[
"Tresguerres",
"R.",
""
],
[
"Hehl",
"F. W.",
""
]
] |
It is shown that gravity on the line can be described by the two dimensional (2D) Hilbert-Einstein Lagrangian supplemented by a kinetic term for the coframe and a translational {\it boundary} term. The resulting model is equivalent to a Yang-Mills theory of local {\it translations} and frozen Lorentz gauge degrees. We will show that this restricted Poincar\'e gauge model in 2 dimensions is completely integrable. {\it Exact} wave, charged black hole, and `dilaton' solutions are then readily found. In vacuum, the integrability of the {\it general} 2D Poincar\'e gauge theory is formally proved along the same line of reasoning.
|
2301.00703
|
Andrei Negu\c{t}
|
Andrei Negu\c{t}
|
Reduced quiver quantum toroidal algebras
| null | null | null | null |
hep-th math-ph math.MP math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give a generators-and-relations description of the reduced versions of
quiver quantum toroidal algebras, which act on the spaces of BPS states
associated to (non-compact) toric Calabi-Yau threefolds X. As an application,
we obtain a description of the K-theoretic Hall algebra of (the quiver with
potential associated to) X, modulo torsion.
|
[
{
"created": "Mon, 2 Jan 2023 14:39:27 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Jan 2023 08:21:19 GMT",
"version": "v2"
},
{
"created": "Sun, 6 Aug 2023 02:00:45 GMT",
"version": "v3"
},
{
"created": "Sun, 4 Feb 2024 16:37:54 GMT",
"version": "v4"
}
] |
2024-02-06
|
[
[
"Neguţ",
"Andrei",
""
]
] |
We give a generators-and-relations description of the reduced versions of quiver quantum toroidal algebras, which act on the spaces of BPS states associated to (non-compact) toric Calabi-Yau threefolds X. As an application, we obtain a description of the K-theoretic Hall algebra of (the quiver with potential associated to) X, modulo torsion.
|
2108.02178
|
Andres Luna Godoy
|
Leonardo de la Cruz, Andres Luna and Trevor Scheopner
|
Yang-Mills observables: from KMOC to eikonal through EFT
|
18 pages + References. arXiv admin note: text overlap with
arXiv:2102.10137
| null |
10.1007/JHEP01(2022)045
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We obtain a conservative Hamiltonian describing the interactions of two
charged bodies in Yang-Mills through $\mathcal{O}(\alpha^2)$ and to all orders
in velocity. Our calculation extends a recently-introduced framework based on
scattering amplitudes and effective field theory (EFT) to consider
color-charged objects. These results are checked against the direct integration
of the observables in the Kosower-Maybee-O'Connell (KMOC) formalism. At the
order we consider we find that the linear and color impulses in a scattering
event can be concisely described in terms of the eikonal phase, thus extending
the domain of applicability of a formula originally proposed in the context of
spinning particles.
|
[
{
"created": "Wed, 4 Aug 2021 17:07:32 GMT",
"version": "v1"
}
] |
2022-01-26
|
[
[
"de la Cruz",
"Leonardo",
""
],
[
"Luna",
"Andres",
""
],
[
"Scheopner",
"Trevor",
""
]
] |
We obtain a conservative Hamiltonian describing the interactions of two charged bodies in Yang-Mills through $\mathcal{O}(\alpha^2)$ and to all orders in velocity. Our calculation extends a recently-introduced framework based on scattering amplitudes and effective field theory (EFT) to consider color-charged objects. These results are checked against the direct integration of the observables in the Kosower-Maybee-O'Connell (KMOC) formalism. At the order we consider we find that the linear and color impulses in a scattering event can be concisely described in terms of the eikonal phase, thus extending the domain of applicability of a formula originally proposed in the context of spinning particles.
|
1801.06000
|
Alesandro Santos A. F. Santos
|
A. F. Santos and Faqir C. Khanna
|
Lorentz Violation, Gravitoelectromagnetic Field and Bhabha Scattering
|
11 pages, 1 figure. Accepted for publication in IJMPA
| null |
10.1142/S0217751X1850015X
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Lorentz symmetry is a fundamental symmetry in the Standard Model (SM) and in
General Relativity (GR). This symmetry holds true for all models at low
energies. However at energies near the Planck scale, it is conjectured that
there may be a very small violation of Lorentz symmetry. The Standard Model
Extension (SME) is a quantum field theory that includes a systematic
description of Lorentz symmetry violations in all sectors of particle physics
and gravity. In this paper SME is considered to study the physical process of
Bhabha Scattering in the Gravitoelectromagnetism (GEM) theory. GEM is an
important formalism that is valid in a suitable approximation of general
relativity. A new non-minimal coupling term that violates Lorentz symmetry is
used in this paper. Differential cross section for gravitational Bhabha
scattering is calculated. The Lorentz violation contributions to this GEM
scattering cross section are small and are similar in magnitude to the case of
the electromagnetic field.
|
[
{
"created": "Thu, 18 Jan 2018 13:11:39 GMT",
"version": "v1"
}
] |
2018-02-14
|
[
[
"Santos",
"A. F.",
""
],
[
"Khanna",
"Faqir C.",
""
]
] |
Lorentz symmetry is a fundamental symmetry in the Standard Model (SM) and in General Relativity (GR). This symmetry holds true for all models at low energies. However at energies near the Planck scale, it is conjectured that there may be a very small violation of Lorentz symmetry. The Standard Model Extension (SME) is a quantum field theory that includes a systematic description of Lorentz symmetry violations in all sectors of particle physics and gravity. In this paper SME is considered to study the physical process of Bhabha Scattering in the Gravitoelectromagnetism (GEM) theory. GEM is an important formalism that is valid in a suitable approximation of general relativity. A new non-minimal coupling term that violates Lorentz symmetry is used in this paper. Differential cross section for gravitational Bhabha scattering is calculated. The Lorentz violation contributions to this GEM scattering cross section are small and are similar in magnitude to the case of the electromagnetic field.
|
hep-th/9701046
|
Ralf D. Tscheuschner
|
Ralf D. Tscheuschner
|
Superconducting phase transitions in 2+1 dimensional quantum field
theories modeling generalized polaronic interactions. Part I: Jahn-Teller
inspired models
|
16 pages, LaTeX 2.09, some typos corrected, some references added.
email ralfd@nano.afp.ruhr-uni-bochum.de
|
Int.J.Mod.Phys.B12:1539-1553,1998
|
10.1142/S0217979298000831
| null |
hep-th
| null |
We review the fundamentals of Jahn-Teller interactions and their field
theoretical modelings and show that a 2+1 dimensional gauge theory where the
gauge field couples to "flavored fermions" arises in a natural way from a
two-band model describing the dynamical Jahn-Teller effect. The theory exhibits
a second order phase transition to novel finite-temperature superconductivity.
|
[
{
"created": "Sun, 12 Jan 1997 18:52:23 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Feb 1997 17:54:59 GMT",
"version": "v2"
}
] |
2011-04-15
|
[
[
"Tscheuschner",
"Ralf D.",
""
]
] |
We review the fundamentals of Jahn-Teller interactions and their field theoretical modelings and show that a 2+1 dimensional gauge theory where the gauge field couples to "flavored fermions" arises in a natural way from a two-band model describing the dynamical Jahn-Teller effect. The theory exhibits a second order phase transition to novel finite-temperature superconductivity.
|
hep-th/9501100
|
Changhyun Ahn
|
C. Ahn, S. Krivonos and A. Sorin
|
The Full Structure of Quantum $N=2$ Super-$W_3^{(2)}$ Algebra
|
8 pages, latex, no figures
|
Mod.Phys.Lett. A10 (1995) 1299-1308
|
10.1142/S0217732395001423
|
JINR-E2-95-27
|
hep-th
| null |
We present the complete structure of the nonlinear $N=2$ super extension of
Polyakov-Bershadsky, $W_3^{(2)}$, algebra with the generic central charge, $c$,
at the {\it quantum} level. It contains extra two pairs of fermionic currents
with integer spins 1 and 2, besides the currents of $N=2$ superconformal and
$W_3^{(2)}$ algebras. For $c\rightarrow \infty$ limit, the algebra reduces to
the classical one, which has been studied previously. The 'hybrid' field
realization of this algebra is also discussed.
|
[
{
"created": "Mon, 23 Jan 1995 14:21:03 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jan 1995 13:53:45 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Jan 1995 19:21:21 GMT",
"version": "v3"
}
] |
2016-09-06
|
[
[
"Ahn",
"C.",
""
],
[
"Krivonos",
"S.",
""
],
[
"Sorin",
"A.",
""
]
] |
We present the complete structure of the nonlinear $N=2$ super extension of Polyakov-Bershadsky, $W_3^{(2)}$, algebra with the generic central charge, $c$, at the {\it quantum} level. It contains extra two pairs of fermionic currents with integer spins 1 and 2, besides the currents of $N=2$ superconformal and $W_3^{(2)}$ algebras. For $c\rightarrow \infty$ limit, the algebra reduces to the classical one, which has been studied previously. The 'hybrid' field realization of this algebra is also discussed.
|
2202.09390
|
Sanjaye Ramgoolam
|
Robert de Mello Koch, Sanjaye Ramgoolam
|
Higher dimensional CFTs as 2D conformally-equivariant topological field
theories
|
19 pages, written version of invited talk given by SR at the XIV
International Workshop LIE THEORY AND ITS APPLICATIONS IN PHYSICS, Sofia
| null | null |
QMUL-PH-22-06
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Two and three-point functions of primary fields in four dimensional CFT have
a simple space-time dependences factored out from the combinatoric structure
which enumerates the fields and gives their couplings. This has led to the
formulation of two dimensional topological field theories with $so(4,2)$
equivariance which are conjectured to be equivalent to higher dimensional
conformal field theories. We review this CFT4/TFT2 construction in the simplest
possible setting of a free scalar field, which gives an algebraic construction
of the correlators in terms of an infinite dimensional $so(4,2)$ equivariant
algebra with finite dimensional subspaces at fixed scaling dimension. Crossing
symmetry of the CFT4 is related to associativity of the algebra. This
construction is then extended to describe perturbative CFT4, by making use of
deformed co-products. Motivated by the Wilson-Fisher CFT we outline the
construction of U(so($d$,2)) equivariant TFT2 for non-integer $d$, in terms of
diagram algebras and their representations.
|
[
{
"created": "Fri, 18 Feb 2022 19:21:38 GMT",
"version": "v1"
}
] |
2022-02-22
|
[
[
"Koch",
"Robert de Mello",
""
],
[
"Ramgoolam",
"Sanjaye",
""
]
] |
Two and three-point functions of primary fields in four dimensional CFT have a simple space-time dependences factored out from the combinatoric structure which enumerates the fields and gives their couplings. This has led to the formulation of two dimensional topological field theories with $so(4,2)$ equivariance which are conjectured to be equivalent to higher dimensional conformal field theories. We review this CFT4/TFT2 construction in the simplest possible setting of a free scalar field, which gives an algebraic construction of the correlators in terms of an infinite dimensional $so(4,2)$ equivariant algebra with finite dimensional subspaces at fixed scaling dimension. Crossing symmetry of the CFT4 is related to associativity of the algebra. This construction is then extended to describe perturbative CFT4, by making use of deformed co-products. Motivated by the Wilson-Fisher CFT we outline the construction of U(so($d$,2)) equivariant TFT2 for non-integer $d$, in terms of diagram algebras and their representations.
|
1412.6226
|
Masamichi Miyaji
|
Masamichi Miyaji, Shinsei Ryu, Tadashi Takayanagi, Xueda Wen
|
Boundary States as Holographic Duals of Trivial Spacetimes
|
30 pages, 4 figures
| null | null |
YITP-14-103, IPMU14-0360
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study real-space quantum entanglement included in conformally invariant
boundary states in conformal field theories (CFTs). First, we argue that
boundary states essentially have no real-space entanglement by computing the
entanglement entropy when we bipartite the system into two spatial regions.
From the viewpoint of holography, this shows that boundary states are dual to
trivial spacetimes of zero spactime volume. Next, we point out that a
continuous multiscale entanglement renormalization ansatz (cMERA) for any CFTs
can be formulated by employing a boundary state as its infrared unentangled
state with an appropriate regularization. Exploiting this idea, we propose an
approximation scheme of cMERA construction for general CFTs.
|
[
{
"created": "Fri, 19 Dec 2014 06:06:18 GMT",
"version": "v1"
}
] |
2014-12-22
|
[
[
"Miyaji",
"Masamichi",
""
],
[
"Ryu",
"Shinsei",
""
],
[
"Takayanagi",
"Tadashi",
""
],
[
"Wen",
"Xueda",
""
]
] |
We study real-space quantum entanglement included in conformally invariant boundary states in conformal field theories (CFTs). First, we argue that boundary states essentially have no real-space entanglement by computing the entanglement entropy when we bipartite the system into two spatial regions. From the viewpoint of holography, this shows that boundary states are dual to trivial spacetimes of zero spactime volume. Next, we point out that a continuous multiscale entanglement renormalization ansatz (cMERA) for any CFTs can be formulated by employing a boundary state as its infrared unentangled state with an appropriate regularization. Exploiting this idea, we propose an approximation scheme of cMERA construction for general CFTs.
|
hep-th/9410043
| null |
Roberto Soldati
|
The Mandelstam--Leibbrandt Prescription and the Discretized Light Front
Quantization
|
5 pages, LaTeX, Talk given at the Fourth International Workshop on
Light Cone Quantization and Non--Perturbative Dynamics, Polana Zgorzelisko
| null | null | null |
hep-th
| null |
It is shown that the quantization of the unphysical degrees of freedom, which
leads to the Mandelstam--Leibbrandt prescription for the infrared spurious
singularities in the continuum light cone gauge, does indeed suggest some quite
natural recipe to treat the zero modes in the Discretized Light Front
Quantization of gauge theories.
|
[
{
"created": "Fri, 7 Oct 1994 11:14:34 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Soldati",
"Roberto",
""
]
] |
It is shown that the quantization of the unphysical degrees of freedom, which leads to the Mandelstam--Leibbrandt prescription for the infrared spurious singularities in the continuum light cone gauge, does indeed suggest some quite natural recipe to treat the zero modes in the Discretized Light Front Quantization of gauge theories.
|
2107.06559
|
Aninda Sinha
|
Prashanth Raman, Aninda Sinha
|
QFT, EFT and GFT
|
v3: 95 pages, 18 figures; improvement in presentation, version to
appear in JHEP, v4: minor typo in appendix fixed
|
JHEP12(2021)203
|
10.1007/JHEP12(2021)203
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the correspondence between geometric function theory (GFT) and
quantum field theory (QFT). The crossing symmetric dispersion relation provides
the necessary tool to examine the connection between GFT, QFT, and effective
field theories (EFTs), enabling us to connect with the crossing-symmetric
EFT-hedron. Several existing mathematical bounds on the Taylor coefficients of
Typically Real functions are summarized and shown to be of enormous use in
bounding Wilson coefficients in the context of 2-2 scattering. We prove that
two-sided bounds on Wilson coefficients are guaranteed to exist quite generally
for the fully crossing symmetric situation. Numerical implementation of the GFT
constraints (Bieberbach-Rogosinski inequalities) is straightforward and allows
a systematic exploration. A comparison of our findings obtained using GFT
techniques and other results in the literature is made. We study both the
three-channel as well as the two-channel crossing-symmetric cases, the latter
having some crucial differences. We also consider bound state poles as well as
massless poles in EFTs. Finally, we consider nonlinear constraints arising from
the positivity of certain Toeplitz determinants, which occur in the
trigonometric moment problem.
|
[
{
"created": "Wed, 14 Jul 2021 08:44:29 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Aug 2021 05:36:53 GMT",
"version": "v2"
},
{
"created": "Wed, 8 Dec 2021 12:18:16 GMT",
"version": "v3"
},
{
"created": "Thu, 6 Oct 2022 07:15:28 GMT",
"version": "v4"
}
] |
2022-10-07
|
[
[
"Raman",
"Prashanth",
""
],
[
"Sinha",
"Aninda",
""
]
] |
We explore the correspondence between geometric function theory (GFT) and quantum field theory (QFT). The crossing symmetric dispersion relation provides the necessary tool to examine the connection between GFT, QFT, and effective field theories (EFTs), enabling us to connect with the crossing-symmetric EFT-hedron. Several existing mathematical bounds on the Taylor coefficients of Typically Real functions are summarized and shown to be of enormous use in bounding Wilson coefficients in the context of 2-2 scattering. We prove that two-sided bounds on Wilson coefficients are guaranteed to exist quite generally for the fully crossing symmetric situation. Numerical implementation of the GFT constraints (Bieberbach-Rogosinski inequalities) is straightforward and allows a systematic exploration. A comparison of our findings obtained using GFT techniques and other results in the literature is made. We study both the three-channel as well as the two-channel crossing-symmetric cases, the latter having some crucial differences. We also consider bound state poles as well as massless poles in EFTs. Finally, we consider nonlinear constraints arising from the positivity of certain Toeplitz determinants, which occur in the trigonometric moment problem.
|
1009.6223
|
Marco Stefano Bianchi
|
Marco S. Bianchi, Silvia Penati
|
The Conformal Manifold of Chern-Simons Matter Theories
|
1+17 pages, 1 figure, references added
|
JHEP 1101:047,2011
|
10.1007/JHEP01(2011)047
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We determine perturbatively the conformal manifold of N=2 Chern-Simons matter
theories with the aim of checking in the three dimensional case the general
prescription based on global symmetry breaking, recently introduced. We discuss
in details few remarkable cases like the N=6 ABJM theory and its less
supersymmetric generalizations with/without flavors. In all cases we find
perfect agreement with the predictions of global symmetry breaking
prescription.
|
[
{
"created": "Thu, 30 Sep 2010 19:26:14 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Oct 2010 15:05:39 GMT",
"version": "v2"
}
] |
2011-01-17
|
[
[
"Bianchi",
"Marco S.",
""
],
[
"Penati",
"Silvia",
""
]
] |
We determine perturbatively the conformal manifold of N=2 Chern-Simons matter theories with the aim of checking in the three dimensional case the general prescription based on global symmetry breaking, recently introduced. We discuss in details few remarkable cases like the N=6 ABJM theory and its less supersymmetric generalizations with/without flavors. In all cases we find perfect agreement with the predictions of global symmetry breaking prescription.
|
1205.0069
|
Eunkyung Koh
|
Dongmin Gang, Eunkyung Koh and Kimyeong Lee
|
Superconformal Index with Duality Domain Wall
|
v1: 25 pages, 4 figures. v2: comments and a reference added, minor
corrections. v3: 30 pages, new results and discussions added to sec 4.5 and
sec 5.1, eq 49 and eq 51 corrected, text improved; to appear in JHEP
|
JHEP10 (2012) 187
|
10.1007/JHEP10(2012)187
|
KIAS-P12023
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a superconformal index for ${\cal N}=4$ super Yang-Mills on $S^1
\times S^3$ with a half BPS duality domain wall inserted at the great
two-sphere in $S^3$. The index is obtained by coupling the 3d generalized
superconformal index on the duality domain wall with 4d half-indices. We
further consider insertions of line operators to the configuration and propose
integral equations which express that the 3d index on duality domain wall is a
duality kernel relating half indices of two line operators related by the
duality map. We explicitly check the proposed integral equations for various
duality domain walls and line operators in the ${\cal N}=4$ SU(2) theory. We
also briefly comment on a generalization to $\mathcal{N}=2$ $A_1$ Gaiotto
theories with a simple example, ${\cal N}=2$ SU(2) SYM with four flavors.
|
[
{
"created": "Tue, 1 May 2012 01:44:50 GMT",
"version": "v1"
},
{
"created": "Sat, 30 Jun 2012 13:03:00 GMT",
"version": "v2"
},
{
"created": "Fri, 5 Oct 2012 09:52:30 GMT",
"version": "v3"
}
] |
2012-11-06
|
[
[
"Gang",
"Dongmin",
""
],
[
"Koh",
"Eunkyung",
""
],
[
"Lee",
"Kimyeong",
""
]
] |
We study a superconformal index for ${\cal N}=4$ super Yang-Mills on $S^1 \times S^3$ with a half BPS duality domain wall inserted at the great two-sphere in $S^3$. The index is obtained by coupling the 3d generalized superconformal index on the duality domain wall with 4d half-indices. We further consider insertions of line operators to the configuration and propose integral equations which express that the 3d index on duality domain wall is a duality kernel relating half indices of two line operators related by the duality map. We explicitly check the proposed integral equations for various duality domain walls and line operators in the ${\cal N}=4$ SU(2) theory. We also briefly comment on a generalization to $\mathcal{N}=2$ $A_1$ Gaiotto theories with a simple example, ${\cal N}=2$ SU(2) SYM with four flavors.
|
1802.08267
|
Oliver DeWolfe
|
Oliver DeWolfe
|
TASI Lectures on Applications of Gauge/Gravity Duality
|
50 pages, 7 figures
| null | null |
COLO-HEP-596
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce the gauge/gravity, or AdS/CFT, correspondence with an eye
towards its application to strongly coupled systems. We provide an overview of
the duality, including the AdS/CFT dictionary and holographic renormalization.
We then discuss simple correlation functions in the context of renormalization
group flow geometries, holographic thermodynamics and an application to the
phase diagram of QCD, real-time correlators and the shear viscosity of strongly
coupled field theories, holographic superconductors, and the application of
holographic fermionic response to strange metals. These lectures were delivered
at TASI 2017.
|
[
{
"created": "Thu, 22 Feb 2018 19:00:23 GMT",
"version": "v1"
}
] |
2018-02-26
|
[
[
"DeWolfe",
"Oliver",
""
]
] |
We introduce the gauge/gravity, or AdS/CFT, correspondence with an eye towards its application to strongly coupled systems. We provide an overview of the duality, including the AdS/CFT dictionary and holographic renormalization. We then discuss simple correlation functions in the context of renormalization group flow geometries, holographic thermodynamics and an application to the phase diagram of QCD, real-time correlators and the shear viscosity of strongly coupled field theories, holographic superconductors, and the application of holographic fermionic response to strange metals. These lectures were delivered at TASI 2017.
|
hep-th/9808076
|
Won Tae Kim
|
Won Tae Kim and Myung Seok Yoon
|
Manifestly covariant action for symmetric Chern-Simons field theory
|
19 pages, revtex, one paragraph is replaced with other issue and
physical application is exhibited
| null | null |
SOGANG-HEP 245/98, SNUTP 98-089
|
hep-th
| null |
We study a three-dimensional symmetric Chern-Simons field theory with a
general covariance and it turns out that the original Chern-Simons theory is
just a gauge fixed action of the symmetric Chern-Simons theory whose constraint
algebra belongs to fully first class constraint system. The Abelian
Chern-Simons theory with matter coupling is studied for the construction of
anyon operators without any ordering ambiguity with the help of this symmetric
Chern-Simons action. Finally we shall discuss some connections between the
present symmetric formulation of Chern-Simons theory and the St\"ukelberg
mechanism.
|
[
{
"created": "Thu, 13 Aug 1998 05:39:31 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Oct 1998 02:48:31 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Kim",
"Won Tae",
""
],
[
"Yoon",
"Myung Seok",
""
]
] |
We study a three-dimensional symmetric Chern-Simons field theory with a general covariance and it turns out that the original Chern-Simons theory is just a gauge fixed action of the symmetric Chern-Simons theory whose constraint algebra belongs to fully first class constraint system. The Abelian Chern-Simons theory with matter coupling is studied for the construction of anyon operators without any ordering ambiguity with the help of this symmetric Chern-Simons action. Finally we shall discuss some connections between the present symmetric formulation of Chern-Simons theory and the St\"ukelberg mechanism.
|
2112.12756
|
Pavel Mnev
|
Olga Chekeres, Andrey Losev, Pavel Mnev, Donald R. Youmans
|
Two field-theoretic viewpoints on the Fukaya-Morse $A_\infty$ category
|
ver. 2: expository changes
| null |
10.1007/s11005-022-01622-2
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study an enhanced version of the Morse degeneration of Fukaya $A_\infty$
category with higher compositions given by counts of gradient flow trees. The
enhancement consists in allowing morphisms from an object to itself to be
chains on the manifold. Higher compositions correspond to counting Morse trees
passing through a given set of chains. We provide two viewpoints on the
construction and on the proof of the $A_\infty$ relations for the composition
maps. One viewpoint is via an effective action for the $BF$ theory computed in
a special gauge. The other is via higher topological quantum mechanics.
|
[
{
"created": "Thu, 23 Dec 2021 18:21:58 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Jul 2022 20:23:14 GMT",
"version": "v2"
}
] |
2023-01-04
|
[
[
"Chekeres",
"Olga",
""
],
[
"Losev",
"Andrey",
""
],
[
"Mnev",
"Pavel",
""
],
[
"Youmans",
"Donald R.",
""
]
] |
We study an enhanced version of the Morse degeneration of Fukaya $A_\infty$ category with higher compositions given by counts of gradient flow trees. The enhancement consists in allowing morphisms from an object to itself to be chains on the manifold. Higher compositions correspond to counting Morse trees passing through a given set of chains. We provide two viewpoints on the construction and on the proof of the $A_\infty$ relations for the composition maps. One viewpoint is via an effective action for the $BF$ theory computed in a special gauge. The other is via higher topological quantum mechanics.
|
hep-th/9412160
| null |
Carlos Castro
|
D=11 Supermembrane Instantons, W(infty) Strings and the Super Toda
Molecule
|
16 pages; Latex file
|
Chaos Solitons Fractals 7 (1996) 711-724
| null |
IAEC-6-94-R
|
hep-th
| null |
Exact instanton solutions to $D=11$ spherical supermembranes moving in flat
target spacetime backgrounds are construted. Our starting point is Super
Yang-Mills theories, based on the infinite dimensional $SU(\infty)$ group,
dimensionally reduced to one time dimension. In this fashion the super-Toda
molecule equation is recovered preserving only one supersymmetry out of the
$N=16$ that one would have obtained otherwise. It is conjectured that the
expected critical target spacetime dimensions for the (super) membrane,
($D=11$) $D=27$ is closely related to that of the $noncritical$ (super)
$W_{\infty}$ strings. A BRST analysis of these symmetries should yield
information about the quantum consistency of the ($D=11$) $D=27$ dimensional
(super) membrane. Comments on the role that Skyrmions might play in the two
types of Spinning- Membrane actions construted so far is presented at the
conclusion. Finally, the importance that integrability on light-lines in
complex superspaces has in other types of solutions is emphasized.
|
[
{
"created": "Mon, 19 Dec 1994 06:05:02 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Castro",
"Carlos",
""
]
] |
Exact instanton solutions to $D=11$ spherical supermembranes moving in flat target spacetime backgrounds are construted. Our starting point is Super Yang-Mills theories, based on the infinite dimensional $SU(\infty)$ group, dimensionally reduced to one time dimension. In this fashion the super-Toda molecule equation is recovered preserving only one supersymmetry out of the $N=16$ that one would have obtained otherwise. It is conjectured that the expected critical target spacetime dimensions for the (super) membrane, ($D=11$) $D=27$ is closely related to that of the $noncritical$ (super) $W_{\infty}$ strings. A BRST analysis of these symmetries should yield information about the quantum consistency of the ($D=11$) $D=27$ dimensional (super) membrane. Comments on the role that Skyrmions might play in the two types of Spinning- Membrane actions construted so far is presented at the conclusion. Finally, the importance that integrability on light-lines in complex superspaces has in other types of solutions is emphasized.
|
1708.00458
|
Tatiana Vulfs
|
T.O. Vulfs and E.I. Guendelman
|
Galileon string measure and other modified measure extended objects
|
8 pages
| null |
10.1142/S021773231750211X
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that it is possible to formulate string theory as a "Galileon string
theory". The galileon field $\chi$ enters in the definition of the integration
measure in the action. Following the methods of the modified measure string
theory, we find that the final equations are again those of Polyakov. Moreover,
the string tension appears again as an additional dynamical degree of freedom.
At the same time the theory satisfies all requirements of the galileon higher
derivative theory at the action level while the equations of motion are still
of the second order. A galileon symmetry is displayed explicitly in the
conformal string worldsheet frame. Also we define the galileon gauge
transformations. Generalizations to branes with other modified measures are
discussed.
|
[
{
"created": "Tue, 1 Aug 2017 18:06:26 GMT",
"version": "v1"
}
] |
2017-11-30
|
[
[
"Vulfs",
"T. O.",
""
],
[
"Guendelman",
"E. I.",
""
]
] |
We show that it is possible to formulate string theory as a "Galileon string theory". The galileon field $\chi$ enters in the definition of the integration measure in the action. Following the methods of the modified measure string theory, we find that the final equations are again those of Polyakov. Moreover, the string tension appears again as an additional dynamical degree of freedom. At the same time the theory satisfies all requirements of the galileon higher derivative theory at the action level while the equations of motion are still of the second order. A galileon symmetry is displayed explicitly in the conformal string worldsheet frame. Also we define the galileon gauge transformations. Generalizations to branes with other modified measures are discussed.
|
2203.02238
|
Timothy Adamo
|
Tim Adamo, Lionel Mason, Atul Sharma
|
Graviton scattering in self-dual radiative space-times
|
47+16 pages, 2 figures. v2: Minor improvements, figures added
|
Class.Quant.Grav. 40: 095002, 2023
|
10.1088/1361-6382/acc233
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The construction of amplitudes on curved space-times is a major challenge,
particularly when the background has non-constant curvature. We give formulae
for all tree-level graviton scattering amplitudes in curved self-dual radiative
space-times; these are chiral, source-free, asymptotically flat spaces
determined by free characteristic data at null infinity. Such space-times admit
an elegant description in terms of twistor theory, which provides the powerful
tools required to exploit their underlying integrability. The tree-level
S-matrix is written in terms of an integral over the moduli space of
holomorphic maps from the Riemann sphere to twistor space, with the degree of
the map corresponding to the helicity configuration of the external gravitons.
For the MHV sector, we derive the amplitude directly from the Einstein-Hilbert
action of general relativity, while other helicity configurations arise from a
natural family of generating functionals and pass several consistency checks.
The amplitudes in self-dual radiative space-times exhibit many novel features
that are absent in Minkowski space, including tail effects. There remain
residual integrals due to the functional degrees of freedom in the background
space-time, but our formulae have many fewer such integrals than would be
expected from space-time perturbation theory. In highly symmetric special
cases, such as self-dual plane waves, the number of residual integrals can be
further reduced, resulting in much simpler expressions for the scattering
amplitudes.
|
[
{
"created": "Fri, 4 Mar 2022 10:54:42 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Nov 2022 20:31:53 GMT",
"version": "v2"
}
] |
2023-05-11
|
[
[
"Adamo",
"Tim",
""
],
[
"Mason",
"Lionel",
""
],
[
"Sharma",
"Atul",
""
]
] |
The construction of amplitudes on curved space-times is a major challenge, particularly when the background has non-constant curvature. We give formulae for all tree-level graviton scattering amplitudes in curved self-dual radiative space-times; these are chiral, source-free, asymptotically flat spaces determined by free characteristic data at null infinity. Such space-times admit an elegant description in terms of twistor theory, which provides the powerful tools required to exploit their underlying integrability. The tree-level S-matrix is written in terms of an integral over the moduli space of holomorphic maps from the Riemann sphere to twistor space, with the degree of the map corresponding to the helicity configuration of the external gravitons. For the MHV sector, we derive the amplitude directly from the Einstein-Hilbert action of general relativity, while other helicity configurations arise from a natural family of generating functionals and pass several consistency checks. The amplitudes in self-dual radiative space-times exhibit many novel features that are absent in Minkowski space, including tail effects. There remain residual integrals due to the functional degrees of freedom in the background space-time, but our formulae have many fewer such integrals than would be expected from space-time perturbation theory. In highly symmetric special cases, such as self-dual plane waves, the number of residual integrals can be further reduced, resulting in much simpler expressions for the scattering amplitudes.
|
1012.1815
|
Paulo Guilherme Castro
|
P. G. Castro
|
Hopf Algebras in Deformed Quantum Theories
|
Ph.D. Thesis, 76 pp
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we apply the Drinfel'd twist of Hopf algebras to the study of
deformed quantum theories. We prove that, by carefully considering the role of
the central extension, it is indeed possible to construct the universal
enveloping algebra of the Heisenberg algebra and deform it by means of a
Drinfel'd twist, which yields a noncommutative theory. Furthermore, we show
that in the second-quantization formalism the Hopf algebra structure of the
Heisenberg algebra (both undeformed and deformed) can be obtained from the Hopf
algebra of the Schrodinger fields and oscillators, as long as they are taken to
be odd generators of the osp(1|2) superalgebra. We study the deformation of the
fermionic Heisenberg algebra and present an identification with the algebra of
the one-dimensional N-extended supersymmetric quantum mechanics, possible for
even N. A second construction for the deformation of the one-dimensional
N-extended supersymmetric quantum mechanics is presented in the superspace
representation, where the supersymmetry generators are realized in terms of
operators belonging to the universal enveloping superalgebra of one bosonic and
several fermionic oscillators. In both constructions we recover, in a more
general setting, some Cliffordization results of the literature.
|
[
{
"created": "Wed, 8 Dec 2010 17:44:15 GMT",
"version": "v1"
}
] |
2010-12-10
|
[
[
"Castro",
"P. G.",
""
]
] |
In this work we apply the Drinfel'd twist of Hopf algebras to the study of deformed quantum theories. We prove that, by carefully considering the role of the central extension, it is indeed possible to construct the universal enveloping algebra of the Heisenberg algebra and deform it by means of a Drinfel'd twist, which yields a noncommutative theory. Furthermore, we show that in the second-quantization formalism the Hopf algebra structure of the Heisenberg algebra (both undeformed and deformed) can be obtained from the Hopf algebra of the Schrodinger fields and oscillators, as long as they are taken to be odd generators of the osp(1|2) superalgebra. We study the deformation of the fermionic Heisenberg algebra and present an identification with the algebra of the one-dimensional N-extended supersymmetric quantum mechanics, possible for even N. A second construction for the deformation of the one-dimensional N-extended supersymmetric quantum mechanics is presented in the superspace representation, where the supersymmetry generators are realized in terms of operators belonging to the universal enveloping superalgebra of one bosonic and several fermionic oscillators. In both constructions we recover, in a more general setting, some Cliffordization results of the literature.
|
1212.3062
|
Qiyuan Pan
|
Zixu Zhao, Qiyuan Pan and Jiliang Jing
|
Holographic insulator/superconductor phase transition with Weyl
corrections
|
17 pages, 3 figures and 2 tables. More discussions and references
added
|
Phys. Lett. B 719 (2013) 440
|
10.1016/j.physletb.2013.01.030
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analytically investigate the phase transition between the holographic
insulator and superconductor with Weyl corrections by using the variational
method for the Sturm-Liouville eigenvalue problem. We find that similar to the
curvature corrections, in p-wave model, the higher Weyl couplings make the
insulator/superconductor phase transition harder to occur. However, in s-wave
case the Weyl corrections do not influence the critical chemical potential,
which is in contrast to the effect caused by the curvature corrections.
Moreover, we observe that the Weyl corrections will not affect the critical
phenomena and the critical exponent of the system always takes the mean-field
value in both models. Our analytic results are found to be in good agreement
with the numerical findings.
|
[
{
"created": "Thu, 13 Dec 2012 06:20:30 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Mar 2013 14:37:32 GMT",
"version": "v2"
}
] |
2013-03-19
|
[
[
"Zhao",
"Zixu",
""
],
[
"Pan",
"Qiyuan",
""
],
[
"Jing",
"Jiliang",
""
]
] |
We analytically investigate the phase transition between the holographic insulator and superconductor with Weyl corrections by using the variational method for the Sturm-Liouville eigenvalue problem. We find that similar to the curvature corrections, in p-wave model, the higher Weyl couplings make the insulator/superconductor phase transition harder to occur. However, in s-wave case the Weyl corrections do not influence the critical chemical potential, which is in contrast to the effect caused by the curvature corrections. Moreover, we observe that the Weyl corrections will not affect the critical phenomena and the critical exponent of the system always takes the mean-field value in both models. Our analytic results are found to be in good agreement with the numerical findings.
|
1206.4725
|
Andrey Zayakin
|
A. Gorsky, A. V. Zayakin
|
Anomalous Zero Sound
|
14 pages, 2 figures
| null |
10.1007/JHEP02(2013)124
|
ITEP-TH-19/12
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the anomalous term in the current, recently suggested by Son and
Yamamoto, modifies the structure of the zero sound mode in the Fermi liquid in
a magnetic field.
|
[
{
"created": "Wed, 20 Jun 2012 21:33:46 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Aug 2012 19:36:47 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Jan 2013 18:49:30 GMT",
"version": "v3"
}
] |
2015-06-05
|
[
[
"Gorsky",
"A.",
""
],
[
"Zayakin",
"A. V.",
""
]
] |
We show that the anomalous term in the current, recently suggested by Son and Yamamoto, modifies the structure of the zero sound mode in the Fermi liquid in a magnetic field.
|
1701.00572
|
Peter M. Lavrov
|
Igor A. Batalin, Peter M. Lavrov
|
Generalized sigma model with dynamical antisymplectic potential and
non-Abelian de Rham's differential
|
9 pages, v2: formula (2.5) corrected, v3: formula (4.13) added,
published version
|
Phys. Lett. B 767 (2017) 99-102
|
10.1016/j.physletb.2017.01.065
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For topological sigma models, we propose that their local Lagragian density
is allowed to depend non-linearly on the de Rham's "velocities" $D Z^{A}$.
Then, by differentiating the Lagrangian density with respect to the latter de
Rham's "velocities", we define a "dynamical" anti-symplectic potential, in
terms of which a "dynamical" anti-symplectic metric is defined, as well. We
define the local and the functional antibracket via the dynamical
anti-symplectic metric. Finally, we show that the generalized action of the
sigma model satisfies the functional master equation, as required.
|
[
{
"created": "Tue, 3 Jan 2017 03:08:12 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Jan 2017 03:01:22 GMT",
"version": "v2"
},
{
"created": "Sat, 28 Jan 2017 03:55:43 GMT",
"version": "v3"
},
{
"created": "Tue, 7 Feb 2017 04:37:52 GMT",
"version": "v4"
}
] |
2017-02-08
|
[
[
"Batalin",
"Igor A.",
""
],
[
"Lavrov",
"Peter M.",
""
]
] |
For topological sigma models, we propose that their local Lagragian density is allowed to depend non-linearly on the de Rham's "velocities" $D Z^{A}$. Then, by differentiating the Lagrangian density with respect to the latter de Rham's "velocities", we define a "dynamical" anti-symplectic potential, in terms of which a "dynamical" anti-symplectic metric is defined, as well. We define the local and the functional antibracket via the dynamical anti-symplectic metric. Finally, we show that the generalized action of the sigma model satisfies the functional master equation, as required.
|
1702.04247
|
Fiorenzo Bastianelli
|
Fiorenzo Bastianelli, Olindo Corradini, Edoardo Vassura
|
Quantum mechanical path integrals in curved spaces and the type-A trace
anomaly
|
21 pages, added proof of a conjecture in appendix A
| null |
10.1007/JHEP04(2017)050
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Path integrals for particles in curved spaces can be used to compute trace
anomalies in quantum field theories, and more generally to study properties of
quantum fields coupled to gravity in first quantization. While their
construction in arbitrary coordinates is well understood, and known to require
the use of a regularization scheme, in this article we take up an old proposal
of constructing the path integral by using Riemann normal coordinates. The
method assumes that curvature effects are taken care of by a scalar effective
potential, so that the particle lagrangian is reduced to that of a linear sigma
model interacting with the effective potential. After fixing the correct
effective potential, we test the construction on spaces of maximal symmetry and
use it to compute heat kernel coefficients and type-A trace anomalies for a
scalar field in arbitrary dimensions up to d=12. The results agree with
expected ones, which are reproduced with great efficiency and extended to
higher orders. We prove explicitly the validity of the simplified path integral
on maximally symmetric spaces. This simplified path integral might be of
further use in worldline applications, though its application on spaces of
arbitrary geometry remains unclear.
|
[
{
"created": "Tue, 14 Feb 2017 14:57:50 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Mar 2017 12:20:53 GMT",
"version": "v2"
}
] |
2017-04-26
|
[
[
"Bastianelli",
"Fiorenzo",
""
],
[
"Corradini",
"Olindo",
""
],
[
"Vassura",
"Edoardo",
""
]
] |
Path integrals for particles in curved spaces can be used to compute trace anomalies in quantum field theories, and more generally to study properties of quantum fields coupled to gravity in first quantization. While their construction in arbitrary coordinates is well understood, and known to require the use of a regularization scheme, in this article we take up an old proposal of constructing the path integral by using Riemann normal coordinates. The method assumes that curvature effects are taken care of by a scalar effective potential, so that the particle lagrangian is reduced to that of a linear sigma model interacting with the effective potential. After fixing the correct effective potential, we test the construction on spaces of maximal symmetry and use it to compute heat kernel coefficients and type-A trace anomalies for a scalar field in arbitrary dimensions up to d=12. The results agree with expected ones, which are reproduced with great efficiency and extended to higher orders. We prove explicitly the validity of the simplified path integral on maximally symmetric spaces. This simplified path integral might be of further use in worldline applications, though its application on spaces of arbitrary geometry remains unclear.
|
2404.09225
|
Claudio Coriano
|
Claudio Corian\`o, Stefano Lionetti, Matteo Maria Maglio, Riccardo
Tommasi
|
Nonlocal Gravity, Dark Energy and Conformal Symmetry: Testing the
Hierarchies of Anomaly-Induced Actions
|
22 pages, 2 figures. Proceedings of Corfu Summer Institute, Workshop
on the Standard Model and Beyond, August 27- September 7, 2023. arXiv admin
note: text overlap with arXiv:2212.12779
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Conformal back-reaction generates cosmological models where the trace anomaly
reflects the breaking of Weyl invariance. Analyzing these actions yields a
dynamic approach to dark energy through anomaly-induced actions (AIAs), that
are variational solutions of the trace anomaly functional constraint. Expanded
around Minkowski space, they produce semiclassical correlators subject to
hierarchical anomalous Ward identities, tied to conformal symmetry and
diffeomorphism invariance. We focus on comparing the hierarchy of a specific
4-point function, particularly the 2-gravitons-2-photons correlator $(TTJJ)$,
generated by AIAs, to free field theory realizations of the same correlator. We
observe that the free field theory original hierarchy splits into one ordinary
and one anomalous hierarchy, both satisfying the conservation Ward identities
from diffeomorphism invariance. However, we find that the anomalous hierarchy
derived from ordinary AIAs in both the Riegert or Fradkin-Vilkovisky gauges,
are either affected by double poles or violate the hierarchy of the trace Ward
identity, respectively. We show that correct forms of the anomalous hierarchies
of 4-point functions (for the $TTTT$ and $TTJJ$), identified in a perturbative
free field theory expansion around flat space, are characterised by anomaly
poles, corresponding to a curvature expansion in $R\Box^{-1}$, together with
Weyl invariant terms. We derive the effective action that generates the correct
form of the hierarchy for the $TTJJ$.
|
[
{
"created": "Sun, 14 Apr 2024 12:06:36 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Apr 2024 22:16:17 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Apr 2024 18:44:53 GMT",
"version": "v3"
}
] |
2024-05-02
|
[
[
"Corianò",
"Claudio",
""
],
[
"Lionetti",
"Stefano",
""
],
[
"Maglio",
"Matteo Maria",
""
],
[
"Tommasi",
"Riccardo",
""
]
] |
Conformal back-reaction generates cosmological models where the trace anomaly reflects the breaking of Weyl invariance. Analyzing these actions yields a dynamic approach to dark energy through anomaly-induced actions (AIAs), that are variational solutions of the trace anomaly functional constraint. Expanded around Minkowski space, they produce semiclassical correlators subject to hierarchical anomalous Ward identities, tied to conformal symmetry and diffeomorphism invariance. We focus on comparing the hierarchy of a specific 4-point function, particularly the 2-gravitons-2-photons correlator $(TTJJ)$, generated by AIAs, to free field theory realizations of the same correlator. We observe that the free field theory original hierarchy splits into one ordinary and one anomalous hierarchy, both satisfying the conservation Ward identities from diffeomorphism invariance. However, we find that the anomalous hierarchy derived from ordinary AIAs in both the Riegert or Fradkin-Vilkovisky gauges, are either affected by double poles or violate the hierarchy of the trace Ward identity, respectively. We show that correct forms of the anomalous hierarchies of 4-point functions (for the $TTTT$ and $TTJJ$), identified in a perturbative free field theory expansion around flat space, are characterised by anomaly poles, corresponding to a curvature expansion in $R\Box^{-1}$, together with Weyl invariant terms. We derive the effective action that generates the correct form of the hierarchy for the $TTJJ$.
|
hep-th/0006235
|
Joaquin Gomis Torne
|
Joaquim Gomis, Kiyoshi Kamimura and Josep Llosa
|
Hamiltonian Formalism for Space-time Non-commutative Theories
|
6 pages, A new section is added with other comments and references.
To appear in PRD
|
Phys.Rev.D63:045003,2001
|
10.1103/PhysRevD.63.045003
|
CERN-TH/2000-186, LFM(SCF)-00-1,UB-ECM-PF-00/08,TOHO-FP-0067
|
hep-th
| null |
Space-time non-commutative theories are non-local in time. We develop the
Hamiltonian formalism for non-local field theories in d space-time dimensions
by considering auxiliary d+1 dimensional field theories which are local with
respect to the evolution time. The Hamiltonian path integral quantization is
considered and the Feynman rules in the Lagrangian formalism are derived. The
case of non-commutative \phi^3 theory is considered as an example.
|
[
{
"created": "Thu, 29 Jun 2000 19:33:03 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jun 2000 22:38:21 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Oct 2000 05:44:36 GMT",
"version": "v3"
},
{
"created": "Thu, 9 Nov 2000 00:21:28 GMT",
"version": "v4"
}
] |
2008-11-26
|
[
[
"Gomis",
"Joaquim",
""
],
[
"Kamimura",
"Kiyoshi",
""
],
[
"Llosa",
"Josep",
""
]
] |
Space-time non-commutative theories are non-local in time. We develop the Hamiltonian formalism for non-local field theories in d space-time dimensions by considering auxiliary d+1 dimensional field theories which are local with respect to the evolution time. The Hamiltonian path integral quantization is considered and the Feynman rules in the Lagrangian formalism are derived. The case of non-commutative \phi^3 theory is considered as an example.
|
2006.06698
|
Mario Herrero-Valea
|
Mario Herrero-Valea and Raquel Santos-Garcia
|
Non-minimal Tinges of Unimodular Gravity
|
34 pages, matches journal version
|
JHEP 09 (2020) 041
|
10.1007/JHEP09(2020)041
|
IFT-UAM/CSIC-20-85, FTUAM-20-10
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Unimodular Gravity is normally assumed to be equivalent to General Relativity
for all matters but the character of the Cosmological Constant. Here we discuss
this equivalence in the presence of a non-minimally coupled scalar field. We
show that when we consider gravitation to be dynamical in a QFT sense, quantum
corrections can distinguish both theories if the non-minimal coupling is
non-vanishing. In order to show this, we construct a path integral formulation
of Unimodular Gravity, fixing the complicated gauge invariance of the theory
and computing all one-loop divergences. We find a combination of the couplings
in the Lagrangian to which we can assign a physical meaning. It tells whether
quantum gravitational phenomena can be ignored or not at a given energy scale.
Its renormalization group flow differs depending on if it is computed in
General Relativity or Unimodular Gravity.
|
[
{
"created": "Thu, 11 Jun 2020 18:00:04 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Jun 2020 13:42:47 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Nov 2020 19:05:36 GMT",
"version": "v3"
}
] |
2020-11-25
|
[
[
"Herrero-Valea",
"Mario",
""
],
[
"Santos-Garcia",
"Raquel",
""
]
] |
Unimodular Gravity is normally assumed to be equivalent to General Relativity for all matters but the character of the Cosmological Constant. Here we discuss this equivalence in the presence of a non-minimally coupled scalar field. We show that when we consider gravitation to be dynamical in a QFT sense, quantum corrections can distinguish both theories if the non-minimal coupling is non-vanishing. In order to show this, we construct a path integral formulation of Unimodular Gravity, fixing the complicated gauge invariance of the theory and computing all one-loop divergences. We find a combination of the couplings in the Lagrangian to which we can assign a physical meaning. It tells whether quantum gravitational phenomena can be ignored or not at a given energy scale. Its renormalization group flow differs depending on if it is computed in General Relativity or Unimodular Gravity.
|
hep-th/0002191
|
Matteo Bertolini
|
M. Bertolini, M. Trigiante
|
Regular BPS black holes: macroscopic and microscopic description of the
generating solution
|
1+16 pages, latex. Final version to appear on Nucl.Phys.B
|
Nucl.Phys.B582:393-406,2000
|
10.1016/S0550-3213(00)00216-9
|
NORDITA-2000/03 HE,SWAT/256
|
hep-th gr-qc
| null |
In this paper we construct the BPS black hole generating solution of
toroidally compactified string (and M) theory, giving for it both the
macroscopic and microscopic description. Choosing a proper U-duality gauge the
latter will be given by a bound state made solely of D-branes. The axionic
nature of the supergravity solution will be directly related to non-trivial
angles between the constituent D-branes (type IIB configuration) or, in a
T-dual gauge, to the presence of magnetic flux on constituent D-brane world
volumes (type IIA configuration). As expected, the four dimensional axion
fields arise from the dimensional reduction of non-diagonal metric tensor
components or Kalb-Ramond B field components for type IIB or type IIA cases,
respectively. Thanks to this result it is then now possible to fill the full
56-dimensional U-duality orbit of N=8 BPS black holes and to have a macroscopic
and microscopic description of all of them.
|
[
{
"created": "Wed, 23 Feb 2000 15:27:48 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Mar 2000 20:02:11 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Jun 2000 12:45:15 GMT",
"version": "v3"
}
] |
2010-11-19
|
[
[
"Bertolini",
"M.",
""
],
[
"Trigiante",
"M.",
""
]
] |
In this paper we construct the BPS black hole generating solution of toroidally compactified string (and M) theory, giving for it both the macroscopic and microscopic description. Choosing a proper U-duality gauge the latter will be given by a bound state made solely of D-branes. The axionic nature of the supergravity solution will be directly related to non-trivial angles between the constituent D-branes (type IIB configuration) or, in a T-dual gauge, to the presence of magnetic flux on constituent D-brane world volumes (type IIA configuration). As expected, the four dimensional axion fields arise from the dimensional reduction of non-diagonal metric tensor components or Kalb-Ramond B field components for type IIB or type IIA cases, respectively. Thanks to this result it is then now possible to fill the full 56-dimensional U-duality orbit of N=8 BPS black holes and to have a macroscopic and microscopic description of all of them.
|
1206.3140
|
Agustin Sabio Vera
|
G. Chachamis, and A. Sabio Vera
|
The NLO N =4 SUSY BFKL Green function in the adjoint representation
|
7 pages, 4 figures
| null |
10.1016/j.physletb.2012.09.051
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the solution of the BFKL equation in the adjoint representation for
the N=4 SUSY theory at NLO accuracy. Consistency with the large momentum
transfer solution obtained by Fadin and Lipatov is found. We investigate, for
large and small values of the momentum transfer, the growth with energy of the
Green function, its collinear behaviour and the expansion in azimuthal angle
Fourier components.
|
[
{
"created": "Thu, 14 Jun 2012 15:27:44 GMT",
"version": "v1"
}
] |
2015-06-05
|
[
[
"Chachamis",
"G.",
""
],
[
"Vera",
"A. Sabio",
""
]
] |
We study the solution of the BFKL equation in the adjoint representation for the N=4 SUSY theory at NLO accuracy. Consistency with the large momentum transfer solution obtained by Fadin and Lipatov is found. We investigate, for large and small values of the momentum transfer, the growth with energy of the Green function, its collinear behaviour and the expansion in azimuthal angle Fourier components.
|
1506.07047
|
Cristian Vergu
|
Niklas Beisert, Dennis Muller, Jan Plefka, Cristian Vergu
|
Smooth Wilson Loops in N=4 Non-Chiral Superspace
|
44 pages. v2 Added some clarifying comments. Matches the published
version
|
JHEP 1512:140,2015
|
10.1007/JHEP12(2015)140
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a supersymmetric Wilson loop operator for 4d N=4 super Yang-Mills
theory which is the natural object dual to the AdS_5 x S^5 superstring in the
AdS/CFT correspondence. It generalizes the traditional bosonic 1/2 BPS
Maldacena-Wilson loop operator and completes recent constructions in the
literature to smooth (non-light-like) loops in the full N=4 non-chiral
superspace. This Wilson loop operator enjoys global superconformal and local
kappa-symmetry of which a detailed discussion is given. Moreover, the
finiteness of its vacuum expectation value is proven at leading order in
perturbation theory. We determine the leading vacuum expectation value for
general paths both at the component field level up to quartic order in
anti-commuting coordinates and in the full non-chiral superspace in suitable
gauges. Finally, we discuss loops built from quadric splines joined in such a
way that the path derivatives are continuous at the intersection.
|
[
{
"created": "Tue, 23 Jun 2015 15:23:20 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Nov 2015 09:04:28 GMT",
"version": "v2"
}
] |
2016-01-05
|
[
[
"Beisert",
"Niklas",
""
],
[
"Muller",
"Dennis",
""
],
[
"Plefka",
"Jan",
""
],
[
"Vergu",
"Cristian",
""
]
] |
We consider a supersymmetric Wilson loop operator for 4d N=4 super Yang-Mills theory which is the natural object dual to the AdS_5 x S^5 superstring in the AdS/CFT correspondence. It generalizes the traditional bosonic 1/2 BPS Maldacena-Wilson loop operator and completes recent constructions in the literature to smooth (non-light-like) loops in the full N=4 non-chiral superspace. This Wilson loop operator enjoys global superconformal and local kappa-symmetry of which a detailed discussion is given. Moreover, the finiteness of its vacuum expectation value is proven at leading order in perturbation theory. We determine the leading vacuum expectation value for general paths both at the component field level up to quartic order in anti-commuting coordinates and in the full non-chiral superspace in suitable gauges. Finally, we discuss loops built from quadric splines joined in such a way that the path derivatives are continuous at the intersection.
|
hep-th/0108196
|
Angel M. Uranga
|
Angel M. Uranga
|
Wrapped fluxbranes
|
22 pages, latex, no figures. Added references
| null | null |
CERN-TH/2001-233
|
hep-th
| null |
We consider the construction of fluxbranes in certain curved geometries,
generalizing the familiar construction of the Melvin fluxtube as a quotient of
flat space. The resulting configurations correspond to fluxbranes wrapped on
cycles in curved spaces. The non-trivial transverse geometry leads in some
instances to solutions with asymptotically constant dilaton profiles. We
describe explicitly several supersymmetric solutions of this kind. The
solutions inherit some properties from their flat space cousins, like flux
periodicity. Interestingly type IIA/0A fluxbrane duality holds near the core of
these fluxbranes, but does not persist in the asymptotic region, precisely
where it would contradict perturbative inequivalence of IIA/0A theories.
|
[
{
"created": "Mon, 27 Aug 2001 15:01:58 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Sep 2001 15:57:34 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Uranga",
"Angel M.",
""
]
] |
We consider the construction of fluxbranes in certain curved geometries, generalizing the familiar construction of the Melvin fluxtube as a quotient of flat space. The resulting configurations correspond to fluxbranes wrapped on cycles in curved spaces. The non-trivial transverse geometry leads in some instances to solutions with asymptotically constant dilaton profiles. We describe explicitly several supersymmetric solutions of this kind. The solutions inherit some properties from their flat space cousins, like flux periodicity. Interestingly type IIA/0A fluxbrane duality holds near the core of these fluxbranes, but does not persist in the asymptotic region, precisely where it would contradict perturbative inequivalence of IIA/0A theories.
|
hep-th/0503199
|
Atsushi Yamaguchi
|
Nobuyuki Ishibashi and Atsushi Yamaguchi
|
On the Chemical Potential of D-instantons in c=0 Noncritical String
Theory
|
15 pages
|
JHEP 0506 (2005) 082
|
10.1088/1126-6708/2005/06/082
| null |
hep-th
| null |
We study the chemical potential of D-instantons in c=0 noncritical string
theory. In a recent work(hep-th/0405076), it was shown that the chemical
potential can be calculated using the one matrix model. The calculation was
done using the method of orthogonal polynomials and the authors obtained a
universal value in the double scaling limit. We present an alternative method
to calculate this value.
|
[
{
"created": "Fri, 25 Mar 2005 12:39:51 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Ishibashi",
"Nobuyuki",
""
],
[
"Yamaguchi",
"Atsushi",
""
]
] |
We study the chemical potential of D-instantons in c=0 noncritical string theory. In a recent work(hep-th/0405076), it was shown that the chemical potential can be calculated using the one matrix model. The calculation was done using the method of orthogonal polynomials and the authors obtained a universal value in the double scaling limit. We present an alternative method to calculate this value.
|
hep-th/9610025
|
Oliver Schnetz
|
Oliver Schnetz
|
Natural renormalization
|
23 pages, LaTeX, AMSsymbols, epsf style, 3 PostScript figures
|
J.Math.Phys. 38 (1997) 738-758
|
10.1063/1.531900
|
FAU-TP3-96/1
|
hep-th
| null |
A careful analysis of differential renormalization shows that a distinguished
choice of renormalization constants allows for a mathematically more
fundamental interpretation of the scheme. With this set of a priori fixed
integration constants differential renormalization is most closely related to
the theory of generalized functions. The special properties of this scheme are
illustrated by application to the toy example of a free massive bosonic theory.
Then we apply the scheme to the phi^4-theory. The two-point function is
calculated up to five loops. The renormalization group is analyzed, the
beta-function and the anomalous dimension are calculated up to fourth and fifth
order, respectively.
|
[
{
"created": "Fri, 4 Oct 1996 14:44:21 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Schnetz",
"Oliver",
""
]
] |
A careful analysis of differential renormalization shows that a distinguished choice of renormalization constants allows for a mathematically more fundamental interpretation of the scheme. With this set of a priori fixed integration constants differential renormalization is most closely related to the theory of generalized functions. The special properties of this scheme are illustrated by application to the toy example of a free massive bosonic theory. Then we apply the scheme to the phi^4-theory. The two-point function is calculated up to five loops. The renormalization group is analyzed, the beta-function and the anomalous dimension are calculated up to fourth and fifth order, respectively.
|
1911.09809
|
Tiago Adorno
|
T. C. Adorno, S. P. Gavrilov, D. M. Gitman
|
Vacuum instability in a constant inhomogeneous electric field. A new
example of exact nonperturbative calculations
|
50 pages, 10 figures. Typos corrected throughout the text. New
results concerning the calculation of total quantities for sharp-gradient
fields were added to Sec. 3.2. Refs added
|
Eur.Phys.J. C80 (2020) no.2, 88
|
10.1140/epjc/s10052-020-7646-y
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Basic quantum processes (such as particle creation, reflection, and
transmission on the corresponding Klein steps) caused by inverse-square
electric fields are calculated. These results represent a new example of exact
nonperturbative calculations in the framework of QED. The inverse-square
electric field is time-independent, inhomogeneous in the $x$-direction, and is
inversely proportional to $x$ squared. We find exact solutions of the Dirac and
Klein-Gordon equations with such a field and construct corresponding in- and
out-states. With the help of these states and using the techniques developed in
the framework of QED with $x$-electric potential steps, we calculate
characteristics of the vacuum instability, such as differential and total mean
numbers of particles created from the vacuum and vacuum-to-vacuum transition
probabilities. We study the vacuum instability for two particular backgrounds:
for fields widely stretches over the $x$-axis (small-gradient configuration)
and for the fields sharply concentrates near the origin $x=0$ (sharp-gradient
configuration). We compare exact results with ones calculated numerically.
Finally, we consider the electric field configuration, composed by
inverse-square fields and by an $x$-independent electric field between them to
study the role of growing and decaying processes in the vacuum instability.
|
[
{
"created": "Fri, 22 Nov 2019 02:00:25 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Dec 2019 02:51:39 GMT",
"version": "v2"
}
] |
2020-02-12
|
[
[
"Adorno",
"T. C.",
""
],
[
"Gavrilov",
"S. P.",
""
],
[
"Gitman",
"D. M.",
""
]
] |
Basic quantum processes (such as particle creation, reflection, and transmission on the corresponding Klein steps) caused by inverse-square electric fields are calculated. These results represent a new example of exact nonperturbative calculations in the framework of QED. The inverse-square electric field is time-independent, inhomogeneous in the $x$-direction, and is inversely proportional to $x$ squared. We find exact solutions of the Dirac and Klein-Gordon equations with such a field and construct corresponding in- and out-states. With the help of these states and using the techniques developed in the framework of QED with $x$-electric potential steps, we calculate characteristics of the vacuum instability, such as differential and total mean numbers of particles created from the vacuum and vacuum-to-vacuum transition probabilities. We study the vacuum instability for two particular backgrounds: for fields widely stretches over the $x$-axis (small-gradient configuration) and for the fields sharply concentrates near the origin $x=0$ (sharp-gradient configuration). We compare exact results with ones calculated numerically. Finally, we consider the electric field configuration, composed by inverse-square fields and by an $x$-independent electric field between them to study the role of growing and decaying processes in the vacuum instability.
|
hep-th/9312058
|
William Nelson
|
William Nelson
|
Kaluza-Klein Black Holes in String Theory
|
13p. uses Harvmac
|
Phys.Rev.D49:5302-5306,1994
|
10.1103/PhysRevD.49.5302
| null |
hep-th
| null |
Exact solutions of heterotic string theory corresponding to four-dimensional
magnetic black holes in $N=4$ supergravity are described. The solutions
describe the black holes in the throat limit, and consist of a tensor product
of an $SU(2)$ WZW orbifold with the linear dilaton vacuum, supersymmetrized to
$(1,0)$ world sheet SUSY. One dimension of the $SU(2)$ model is interpreted as
a compactified fifth dimension, leading to a four dimensional solution with a
Kaluza-Klein gauge field having a magnetic monopole background; this
corresponds to a solution in $N=4$ supergravity, since that theory is obtained
by dimensional reduction of string theory.
|
[
{
"created": "Wed, 8 Dec 1993 02:32:42 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Nelson",
"William",
""
]
] |
Exact solutions of heterotic string theory corresponding to four-dimensional magnetic black holes in $N=4$ supergravity are described. The solutions describe the black holes in the throat limit, and consist of a tensor product of an $SU(2)$ WZW orbifold with the linear dilaton vacuum, supersymmetrized to $(1,0)$ world sheet SUSY. One dimension of the $SU(2)$ model is interpreted as a compactified fifth dimension, leading to a four dimensional solution with a Kaluza-Klein gauge field having a magnetic monopole background; this corresponds to a solution in $N=4$ supergravity, since that theory is obtained by dimensional reduction of string theory.
|
hep-th/0402039
|
Vladimir Dobrev
|
V. K. Dobrev and R. B. Zhang
|
Positive Energy Unitary Irreducible Representations of the Superalgebras
osp(1|2n,R)
|
20 pages, LATEX2e (revtex4,amsmath,amssymb), Plenary talk by VKD at X
International Conference on Symmetry Methods in Physics, Yerevan,
13-21.8.2003; added acknowledgements; corrected misprints
|
Phys.Atom.Nucl. 68 (2005) 1660-1669; Yad.Fiz. 68 (2005) 1724-1732
|
10.1134/1.2121914
|
ESI Vienna preprint 1457 (2004)
|
hep-th math.QA math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give the classification of the positive energy (lowest weight) unitary
irreducible representations of the superalgebras osp(1|2n,R).
|
[
{
"created": "Thu, 5 Feb 2004 13:00:02 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Apr 2004 15:05:57 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Oct 2012 11:05:12 GMT",
"version": "v3"
}
] |
2012-10-23
|
[
[
"Dobrev",
"V. K.",
""
],
[
"Zhang",
"R. B.",
""
]
] |
We give the classification of the positive energy (lowest weight) unitary irreducible representations of the superalgebras osp(1|2n,R).
|
1707.09582
|
Chen-Te Ma
|
Chen-Te Ma
|
A Duality Web in Condensed Matter Systems
|
32 pages
| null |
10.1016/j.aop.2018.01.008
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study various dualities in condensed matter systems. The dualities in
three dimensions could be derived from a conjecture of a duality between a
Dirac fermion theory and an interacting scalar field theory at the
Wilson-Fisher fixed point and zero temperature in three dimensions. We show
that the dualities are not affected by the non-trivial holonomy, use a
mean-field method to study, and discuss the dualities at a finite temperature.
Finally, we combine a bulk theory, which is an Abelian $p$-form theory with a
theta term in $2p+2$ dimensions, and a boundary theory, which is a $2p+1$
dimensional theory, to discuss constraints and difficulties of a duality web in
$2p+1$ dimensions.
|
[
{
"created": "Sun, 30 Jul 2017 05:09:33 GMT",
"version": "v1"
}
] |
2018-03-14
|
[
[
"Ma",
"Chen-Te",
""
]
] |
We study various dualities in condensed matter systems. The dualities in three dimensions could be derived from a conjecture of a duality between a Dirac fermion theory and an interacting scalar field theory at the Wilson-Fisher fixed point and zero temperature in three dimensions. We show that the dualities are not affected by the non-trivial holonomy, use a mean-field method to study, and discuss the dualities at a finite temperature. Finally, we combine a bulk theory, which is an Abelian $p$-form theory with a theta term in $2p+2$ dimensions, and a boundary theory, which is a $2p+1$ dimensional theory, to discuss constraints and difficulties of a duality web in $2p+1$ dimensions.
|
hep-th/0102167
|
V. A. Dolgushev
|
V. A. Dolgushev
|
Sklyanin Bracket and Deformation of the Calogero-Moser System
|
14 pages, no figures
|
Mod.Phys.Lett. A16 (2001) 1711
|
10.1142/S0217732301005047
|
ITEP-TH-7/01
|
hep-th math-ph math.MP nlin.SI
| null |
A two-dimensional integrable system being a deformation of the rational
Calogero-Moser system is constructed via the symplectic reduction, performed
with respect to the Sklyanin algebra action. We explicitly resolve the
respective classical equations of motion via the projection method and quantize
the system.
|
[
{
"created": "Fri, 23 Feb 2001 19:34:30 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Sep 2001 15:42:11 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Dolgushev",
"V. A.",
""
]
] |
A two-dimensional integrable system being a deformation of the rational Calogero-Moser system is constructed via the symplectic reduction, performed with respect to the Sklyanin algebra action. We explicitly resolve the respective classical equations of motion via the projection method and quantize the system.
|
hep-th/9806104
|
Jan de Boer
|
Jan de Boer
|
Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field
Theory
|
32 pages, LaTeX; minor corrections, reference added
|
Nucl.Phys.B548:139-166,1999
|
10.1016/S0550-3213(99)00160-1
|
LBNL-41931, UCB-PTH-98/32
|
hep-th
| null |
In this paper we study the relation between six-dimensional supergravity
compactified on S^3 X AdS_3 and certain two-dimensional conformal field
theories. We compute the Kaluza-Klein spectrum of supergravity using
representation theory; these methods are quite general and can also be applied
to other compactifications involving anti-de Sitter spaces. A detailed
comparison between the spectrum of the two-dimensional conformal field theory
and supergravity is made, and we find complete agreement. This applies even at
the level of certain non-chiral primaries, and we propose a resolution to the
puzzle of the missing states recently raised by Vafa. As a further illustration
of the method the Kaluza-Klein spectra of F-theory on M^6 X S^3 X AdS_3 and of
M-theory on M^6 X S^2 X AdS_3 are computed, with M^6 some Calabi-Yau manifold.
|
[
{
"created": "Fri, 12 Jun 1998 21:49:40 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Jun 1998 23:34:09 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"de Boer",
"Jan",
""
]
] |
In this paper we study the relation between six-dimensional supergravity compactified on S^3 X AdS_3 and certain two-dimensional conformal field theories. We compute the Kaluza-Klein spectrum of supergravity using representation theory; these methods are quite general and can also be applied to other compactifications involving anti-de Sitter spaces. A detailed comparison between the spectrum of the two-dimensional conformal field theory and supergravity is made, and we find complete agreement. This applies even at the level of certain non-chiral primaries, and we propose a resolution to the puzzle of the missing states recently raised by Vafa. As a further illustration of the method the Kaluza-Klein spectra of F-theory on M^6 X S^3 X AdS_3 and of M-theory on M^6 X S^2 X AdS_3 are computed, with M^6 some Calabi-Yau manifold.
|
1505.07270
|
Andreas Tresmontant
|
Julien Serreau, Matthieu Tissier and Andr\'eas Tresmontant
|
Influence of Gribov ambiguities in a class of nonlinear covariant gauges
|
23 pages. 24 figures. One suplemental material: Mathematica file with
the full expressions of the one-loop Feynman diagrams
|
Phys. Rev. D 92, 105003 (2015)
|
10.1103/PhysRevD.92.105003
| null |
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider Yang-Mills theories in a recently proposed family of nonlinear
covariant gauges that consistently deals with the issue of Gribov ambiguities.
Such gauges provide a generalization of the Curci-Ferrari-Delbourgo-Jarvis
gauges which can be formulated as an extremization procedure and might be
implemented in numerical calculations. This would allow for nonperturbative
studies of Yang-Mills correlators in a broad class of covariant gauges
continuously connected to the well-studied Landau gauge. We compute the ghost
and gluon propagators in the continuum formulation at one-loop order in
perturbation theory and we study their momentum dependence down to the deep
infrared regime, with and without renormalization group improvement. In
particular, we show that the theory admits infrared-safe renormalization-group
trajectories with no Landau pole. Both the gluon and the ghost behave as
massive fields at low energy, and the gluon propagator is transverse even away
from the Landau gauge limit. We compare our results to those obtained in the
usual Curci-Ferrari model, which allows us to pinpoint the specific effects
arising from our treatment of Gribov copies.
|
[
{
"created": "Wed, 27 May 2015 11:42:52 GMT",
"version": "v1"
},
{
"created": "Thu, 28 May 2015 13:28:26 GMT",
"version": "v2"
},
{
"created": "Sat, 24 Oct 2015 11:03:44 GMT",
"version": "v3"
}
] |
2015-11-11
|
[
[
"Serreau",
"Julien",
""
],
[
"Tissier",
"Matthieu",
""
],
[
"Tresmontant",
"Andréas",
""
]
] |
We consider Yang-Mills theories in a recently proposed family of nonlinear covariant gauges that consistently deals with the issue of Gribov ambiguities. Such gauges provide a generalization of the Curci-Ferrari-Delbourgo-Jarvis gauges which can be formulated as an extremization procedure and might be implemented in numerical calculations. This would allow for nonperturbative studies of Yang-Mills correlators in a broad class of covariant gauges continuously connected to the well-studied Landau gauge. We compute the ghost and gluon propagators in the continuum formulation at one-loop order in perturbation theory and we study their momentum dependence down to the deep infrared regime, with and without renormalization group improvement. In particular, we show that the theory admits infrared-safe renormalization-group trajectories with no Landau pole. Both the gluon and the ghost behave as massive fields at low energy, and the gluon propagator is transverse even away from the Landau gauge limit. We compare our results to those obtained in the usual Curci-Ferrari model, which allows us to pinpoint the specific effects arising from our treatment of Gribov copies.
|
hep-th/9512011
|
Sheng Zheng-Mao
|
Z-M Sheng and H-B Gao
|
On the sine-Gordon--Thirring equivalence in the presence of a boundary
|
14 pages, Latex, to be published in Int. J. Mod. Phys. A. Two
references added
|
Int.J.Mod.Phys. A11 (1996) 4089-4102
|
10.1142/S0217751X96001929
|
DTP-95/43
|
hep-th
| null |
In this paper, the relationship between the sine-Gordon model with an
integrable boundary condition and the Thirring model with boundary is discussed
and the reflection $R$-matrix for the massive Thirring model, which is related
to the physical boundary parameters of the sine-Gordon model, is given. The
relationship between the the boundary parameters and the two formal parameters
appearing in the work of Ghoshal and Zamolodchikov is discussed.
|
[
{
"created": "Mon, 4 Dec 1995 14:31:18 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Jan 1996 16:50:41 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Sheng",
"Z-M",
""
],
[
"Gao",
"H-B",
""
]
] |
In this paper, the relationship between the sine-Gordon model with an integrable boundary condition and the Thirring model with boundary is discussed and the reflection $R$-matrix for the massive Thirring model, which is related to the physical boundary parameters of the sine-Gordon model, is given. The relationship between the the boundary parameters and the two formal parameters appearing in the work of Ghoshal and Zamolodchikov is discussed.
|
1010.4573
|
Miranda C.N. Cheng
|
Miranda C.N. Cheng, Robbert Dijkgraaf and Cumrun Vafa
|
Non-Perturbative Topological Strings And Conformal Blocks
|
36 pages
|
JHEP 1109:022,2011
|
10.1007/JHEP09(2011)022
|
ITFA-2010-21
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give a non-perturbative completion of a class of closed topological string
theories in terms of building blocks of dual open strings. In the specific case
where the open string is given by a matrix model these blocks correspond to a
choice of integration contour. We then apply this definition to the AGT setup
where the dual matrix model has logarithmic potential and is conjecturally
equivalent to Liouville conformal field theory. By studying the natural
contours of these matrix integrals and their monodromy properties, we propose a
precise map between topological string blocks and Liouville conformal blocks.
Remarkably, this description makes use of the light-cone diagrams of closed
string field theory, where the critical points of the matrix potential
correspond to string interaction points.
|
[
{
"created": "Thu, 21 Oct 2010 20:09:37 GMT",
"version": "v1"
}
] |
2011-09-09
|
[
[
"Cheng",
"Miranda C. N.",
""
],
[
"Dijkgraaf",
"Robbert",
""
],
[
"Vafa",
"Cumrun",
""
]
] |
We give a non-perturbative completion of a class of closed topological string theories in terms of building blocks of dual open strings. In the specific case where the open string is given by a matrix model these blocks correspond to a choice of integration contour. We then apply this definition to the AGT setup where the dual matrix model has logarithmic potential and is conjecturally equivalent to Liouville conformal field theory. By studying the natural contours of these matrix integrals and their monodromy properties, we propose a precise map between topological string blocks and Liouville conformal blocks. Remarkably, this description makes use of the light-cone diagrams of closed string field theory, where the critical points of the matrix potential correspond to string interaction points.
|
0809.3850
|
Alex Nielsen
|
Alex B. Nielsen
|
Black holes and black hole thermodynamics without event horizons
|
Invited review article for General Relativity and Gravitation. 43
pages
|
Gen.Rel.Grav.41:1539-1584,2009
|
10.1007/s10714-008-0739-9
|
SNUTP08-009
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate whether black holes can be defined without using event
horizons. In particular we focus on the thermodynamic properties of event
horizons and the alternative, locally defined horizons. We discuss the
assumptions and limitations of the proofs of the zeroth, first and second laws
of black hole mechanics for both event horizons and trapping horizons. This
leads to the possibility that black holes may be more usefully defined in terms
of trapping horizons. We also show how Hawking radiation can also be seen to
arise from trapping horizons and discuss which horizon area should be
associated with the gravitational entropy.
|
[
{
"created": "Tue, 23 Sep 2008 05:07:16 GMT",
"version": "v1"
}
] |
2009-07-22
|
[
[
"Nielsen",
"Alex B.",
""
]
] |
We investigate whether black holes can be defined without using event horizons. In particular we focus on the thermodynamic properties of event horizons and the alternative, locally defined horizons. We discuss the assumptions and limitations of the proofs of the zeroth, first and second laws of black hole mechanics for both event horizons and trapping horizons. This leads to the possibility that black holes may be more usefully defined in terms of trapping horizons. We also show how Hawking radiation can also be seen to arise from trapping horizons and discuss which horizon area should be associated with the gravitational entropy.
|
1012.0174
|
Ya-Peng Hu
|
Ya-Peng Hu, Huai-Fan Li, Zhang-Yu Nie
|
The first order hydrodynamics via AdS/CFT correspondence in the
Gauss-Bonnet gravity
|
v4: 14 pages, no figure, some typos corrected and minor changes based
on the JHEP verison for more consistency
|
JHEP 1101:123,2011
|
10.1007/JHEP01(2011)123
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the spirit of the AdS/CFT correspondence, we investigate the hydrodynamics
of the dual conformal field in the Gauss-Bonnet gravity. By considering the
parameters of the boosted black brane in the Gauss-Bonnet gravity as functions
of boundary coordinates, and then solving the corresponding correction terms,
we calculate the first order stress-energy tensor of the dual conformal field.
From this first order stress-energy tensor, we also obtain the shear viscosity
and entropy density. And these results are consistent with those of some
previous works from the effective coupling of gravitons.
|
[
{
"created": "Wed, 1 Dec 2010 12:23:09 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Dec 2010 12:02:43 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Jan 2011 05:10:31 GMT",
"version": "v3"
},
{
"created": "Fri, 25 Feb 2011 07:29:51 GMT",
"version": "v4"
}
] |
2011-02-28
|
[
[
"Hu",
"Ya-Peng",
""
],
[
"Li",
"Huai-Fan",
""
],
[
"Nie",
"Zhang-Yu",
""
]
] |
In the spirit of the AdS/CFT correspondence, we investigate the hydrodynamics of the dual conformal field in the Gauss-Bonnet gravity. By considering the parameters of the boosted black brane in the Gauss-Bonnet gravity as functions of boundary coordinates, and then solving the corresponding correction terms, we calculate the first order stress-energy tensor of the dual conformal field. From this first order stress-energy tensor, we also obtain the shear viscosity and entropy density. And these results are consistent with those of some previous works from the effective coupling of gravitons.
|
1208.5182
|
Michael Gutperle
|
Martin Ammon, Michael Gutperle, Per Kraus and Eric Perlmutter
|
Black holes in three dimensional higher spin gravity: A review
|
49 pages, harvmac, invited contribution to J. Phys. A special volume
on "Higher Spin Theories and AdS/CFT" edited by M. R. Gaberdiel and M.
Vasiliev
| null |
10.1088/1751-8113/46/21/214001
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review recent progress in the construction of black holes in three
dimensional higher spin gravity theories. Starting from spin-3 gravity and
working our way toward the theory of an infinite tower of higher spins coupled
to matter, we show how to harness higher spin gauge invariance to consistently
generalize familiar notions of black holes. We review the construction of black
holes with conserved higher spin charges and the computation of their partition
functions to leading asymptotic order. In view of the AdS/CFT correspondence as
applied to certain vector-like conformal field theories with extended conformal
symmetry, we successfully compare to CFT calculations in a generalized Cardy
regime. A brief recollection of pertinent aspects of ordinary gravity is also
given.
|
[
{
"created": "Sun, 26 Aug 2012 00:38:50 GMT",
"version": "v1"
}
] |
2015-06-11
|
[
[
"Ammon",
"Martin",
""
],
[
"Gutperle",
"Michael",
""
],
[
"Kraus",
"Per",
""
],
[
"Perlmutter",
"Eric",
""
]
] |
We review recent progress in the construction of black holes in three dimensional higher spin gravity theories. Starting from spin-3 gravity and working our way toward the theory of an infinite tower of higher spins coupled to matter, we show how to harness higher spin gauge invariance to consistently generalize familiar notions of black holes. We review the construction of black holes with conserved higher spin charges and the computation of their partition functions to leading asymptotic order. In view of the AdS/CFT correspondence as applied to certain vector-like conformal field theories with extended conformal symmetry, we successfully compare to CFT calculations in a generalized Cardy regime. A brief recollection of pertinent aspects of ordinary gravity is also given.
|
hep-th/9505040
|
Poul H. Damgaard, Nbi
|
P.H. Damgaard, F. De Jonghe and R. Sollacher
|
BRST Gauge Fixing and Regularization
|
LaTeX, 12 pages
|
Nucl.Phys. B454 (1995) 701-715
|
10.1016/0550-3213(95)00472-5
|
UUITP-8/95, NIKHEF-H 95-017
|
hep-th
| null |
In the presence of consistent regulators, the standard procedure of BRST
gauge fixing (or moving from one gauge to another) can require non-trivial
modifications. These modifications occur at the quantum level, and gauges exist
which are only well-defined when quantum mechanical modifications are correctly
taken into account. We illustrate how this phenomenon manifests itself in the
solvable case of two-dimensional bosonization in the path-integral formalism.
As a by-product, we show how to derive smooth bosonization in
Batalin-Vilkovisky Lagrangian BRST quantization.
|
[
{
"created": "Mon, 8 May 1995 11:42:51 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Damgaard",
"P. H.",
""
],
[
"De Jonghe",
"F.",
""
],
[
"Sollacher",
"R.",
""
]
] |
In the presence of consistent regulators, the standard procedure of BRST gauge fixing (or moving from one gauge to another) can require non-trivial modifications. These modifications occur at the quantum level, and gauges exist which are only well-defined when quantum mechanical modifications are correctly taken into account. We illustrate how this phenomenon manifests itself in the solvable case of two-dimensional bosonization in the path-integral formalism. As a by-product, we show how to derive smooth bosonization in Batalin-Vilkovisky Lagrangian BRST quantization.
|
2006.13892
|
Madalena Lemos
|
Madalena Lemos
|
Lectures on chiral algebras of $\mathcal{N} \geqslant 2$ superconformal
field theories
|
36 pages plus appendices
| null | null |
CERN-TH-2020-098
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Any four-dimensional $\mathcal{N} \geqslant 2$ superconformal field theory
possess a protected subsector isomorphic to a two-dimensional chiral algebra
\cite{Beem:2013sza}. The goal of these lectures is to provide an introduction
to the subject, covering the construction of the chiral algebras, the
consequences for four-dimensional physics, as well as a brief summary of recent
progress. This is the writeup of the lectures given at the Winter School "YRISW
2020" to appear in a special issue of JPhysA.
|
[
{
"created": "Wed, 24 Jun 2020 17:23:04 GMT",
"version": "v1"
}
] |
2020-06-25
|
[
[
"Lemos",
"Madalena",
""
]
] |
Any four-dimensional $\mathcal{N} \geqslant 2$ superconformal field theory possess a protected subsector isomorphic to a two-dimensional chiral algebra \cite{Beem:2013sza}. The goal of these lectures is to provide an introduction to the subject, covering the construction of the chiral algebras, the consequences for four-dimensional physics, as well as a brief summary of recent progress. This is the writeup of the lectures given at the Winter School "YRISW 2020" to appear in a special issue of JPhysA.
|
hep-th/0305124
|
Jorge Ananias Neto
|
Jorge Ananias Neto
|
Gauging by St\"uckelberg field-shifting symmetry
|
revised version. To appear in Phys. Lett. B
|
Phys.Lett. B571 (2003) 105-114
|
10.1016/j.physletb.2003.07.063
|
UFJF-03-03
|
hep-th
| null |
We embed second class constrained systems by a formalism that combines
concepts of the BFFT method and the unfixing gauge formalism. As a result, we
obtain a gauge-invariant system where the introduction of the Wess-Zumino (WZ)
field is essential. The initial phase-space variables are gauging with the
introduction of the WZ field, a procedure that resembles the St\"uckelberg
field- shifting formalism. In some cases, it is possible to eliminate the WZ
field and, therefore, obtain an invariant system written only as a function of
the original phase-space variables. We apply this formalism to important
physical models: the reduced-SU(2) Skyrme model and the two dimensional chiral
bosons field theory. In these systems, the gauge-invariant Hamiltonians are
derived in a very simple way when compared with other usual formalisms.
|
[
{
"created": "Wed, 14 May 2003 19:45:35 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Aug 2003 19:55:42 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Neto",
"Jorge Ananias",
""
]
] |
We embed second class constrained systems by a formalism that combines concepts of the BFFT method and the unfixing gauge formalism. As a result, we obtain a gauge-invariant system where the introduction of the Wess-Zumino (WZ) field is essential. The initial phase-space variables are gauging with the introduction of the WZ field, a procedure that resembles the St\"uckelberg field- shifting formalism. In some cases, it is possible to eliminate the WZ field and, therefore, obtain an invariant system written only as a function of the original phase-space variables. We apply this formalism to important physical models: the reduced-SU(2) Skyrme model and the two dimensional chiral bosons field theory. In these systems, the gauge-invariant Hamiltonians are derived in a very simple way when compared with other usual formalisms.
|
hep-th/9605226
| null |
R. Banerjee and P. Mukherjee
|
Spin of Chern-Simons vortices
|
11 pages, Latex file, no figures
|
Nucl.Phys. B478 (1996) 235-244
|
10.1016/0550-3213(96)00389-6
|
SNBNCBS/96/4/1
|
hep-th
| null |
We discuss a novel method of obtaining the fractional spin of abelian and
nonabelian Chern-Simons vortices. This spin is interpreted as the difference
between the angular momentum obtained by modifying Schwinger's energy momentum
tensor by the Gauss constraint, and the canonical (Noether) angular momentum.
It is found to be a boundary term depending only on the gauge field and, hence,
is independent of the matter sector to which the Chern-Simons term couples.
Addition of the Maxwell term does not alter the fractional spin.
|
[
{
"created": "Fri, 31 May 1996 15:26:41 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Banerjee",
"R.",
""
],
[
"Mukherjee",
"P.",
""
]
] |
We discuss a novel method of obtaining the fractional spin of abelian and nonabelian Chern-Simons vortices. This spin is interpreted as the difference between the angular momentum obtained by modifying Schwinger's energy momentum tensor by the Gauss constraint, and the canonical (Noether) angular momentum. It is found to be a boundary term depending only on the gauge field and, hence, is independent of the matter sector to which the Chern-Simons term couples. Addition of the Maxwell term does not alter the fractional spin.
|
1205.0242
|
Eric Perlmutter
|
Eric Perlmutter
|
Hyperscaling violation from supergravity
|
18 pages, plus one appendix; v2: added refs, minor aesthetic changes,
slight modification of comments on SUSY
| null |
10.1007/JHEP06(2012)165
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In recent applications of AdS/CFT to condensed matter physics, a metric that
transforms covariantly under dilatation has been argued to signal hyperscaling
violation in a dual quantum field theory. We contextualize and introduce large,
in some cases infinite, families of supergravity solutions with this property,
focusing on scale covariant generalizations of AdS and Schrodinger spacetimes.
These embeddings rely on various aspects of dimensional reduction and flux
compactification of eleven-dimensional supergravity. Our top-down approach can
be viewed as a partial holographic classification of the landscape of strongly
coupled, UV complete quantum field theories with hyperscaling violation.
|
[
{
"created": "Tue, 1 May 2012 19:57:44 GMT",
"version": "v1"
},
{
"created": "Tue, 15 May 2012 08:08:28 GMT",
"version": "v2"
}
] |
2015-06-05
|
[
[
"Perlmutter",
"Eric",
""
]
] |
In recent applications of AdS/CFT to condensed matter physics, a metric that transforms covariantly under dilatation has been argued to signal hyperscaling violation in a dual quantum field theory. We contextualize and introduce large, in some cases infinite, families of supergravity solutions with this property, focusing on scale covariant generalizations of AdS and Schrodinger spacetimes. These embeddings rely on various aspects of dimensional reduction and flux compactification of eleven-dimensional supergravity. Our top-down approach can be viewed as a partial holographic classification of the landscape of strongly coupled, UV complete quantum field theories with hyperscaling violation.
|
hep-th/0211032
|
Niklas Beisert
|
Niklas Beisert
|
BMN Operators and Superconformal Symmetry
|
38 pages, v2: minor changes, to appear in Nucl. Phys. B
|
Nucl.Phys.B659:79-118,2003
|
10.1016/S0550-3213(03)00229-3
|
AEI 2002-089
|
hep-th
| null |
Implications of N=4 superconformal symmetry on Berenstein-Maldacena-Nastase
(BMN) operators with two charge defects are studied both at finite charge J and
in the BMN limit. We find that all of these belong to a single long
supermultiplet explaining a recently discovered degeneracy of anomalous
dimensions on the sphere and torus. The lowest dimensional component is an
operator of naive dimension J+2 transforming in the [0,J,0] representation of
SU(4). We thus find that the BMN operators are large J generalisations of the
Konishi operator at J=0. We explicitly construct descendant operators by
supersymmetry transformations and investigate their three-point functions using
superconformal symmetry.
|
[
{
"created": "Tue, 5 Nov 2002 17:53:45 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Mar 2003 17:36:02 GMT",
"version": "v2"
}
] |
2011-03-23
|
[
[
"Beisert",
"Niklas",
""
]
] |
Implications of N=4 superconformal symmetry on Berenstein-Maldacena-Nastase (BMN) operators with two charge defects are studied both at finite charge J and in the BMN limit. We find that all of these belong to a single long supermultiplet explaining a recently discovered degeneracy of anomalous dimensions on the sphere and torus. The lowest dimensional component is an operator of naive dimension J+2 transforming in the [0,J,0] representation of SU(4). We thus find that the BMN operators are large J generalisations of the Konishi operator at J=0. We explicitly construct descendant operators by supersymmetry transformations and investigate their three-point functions using superconformal symmetry.
|
0901.4223
|
Henri Epstein
|
Jacques Bros, Henri Epstein, Michel Gaudin, Ugo Moschella, Vincent
Pasquier
|
Triangular invariants, three-point functions and particle stability on
the de Sitter universe
| null |
Commun.Math.Phys.295:261-288,2010
|
10.1007/s00220-009-0875-4
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a class of three-point functions on the de Sitter universe and on
the asymptotic cone. A blending of geometrical ideas and analytic methods is
used to compute some remarkable integrals, on the basis of a generalized
star-triangle identity living on the cone and on the complex de Sitter
manifold. We discuss an application of the general results to the study of the
stability of scalar particles on the Sitter universe.
|
[
{
"created": "Tue, 27 Jan 2009 11:15:28 GMT",
"version": "v1"
}
] |
2010-02-11
|
[
[
"Bros",
"Jacques",
""
],
[
"Epstein",
"Henri",
""
],
[
"Gaudin",
"Michel",
""
],
[
"Moschella",
"Ugo",
""
],
[
"Pasquier",
"Vincent",
""
]
] |
We study a class of three-point functions on the de Sitter universe and on the asymptotic cone. A blending of geometrical ideas and analytic methods is used to compute some remarkable integrals, on the basis of a generalized star-triangle identity living on the cone and on the complex de Sitter manifold. We discuss an application of the general results to the study of the stability of scalar particles on the Sitter universe.
|
hep-th/0005190
|
Ivan K. Kostov
|
Ivan K. Kostov
|
Exact Solution of the Three-color Problem on a Random Lattice
|
9 pages, 2 figures
|
Phys.Lett. B549 (2002) 245-252
|
10.1016/S0370-2693(02)02887-3
|
SPhT/t00/074
|
hep-th cond-mat.stat-mech
| null |
We present the exact solution of the Baxter's three-color problem on a random
planar graph, using the random-matrix formulation of the problem, given by B.
Eynard and C. Kristjansen. We find that the number of three-coloring of an
infinite random graph is 0.9843 per vertex.
|
[
{
"created": "Sat, 20 May 2000 16:18:17 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jul 2000 17:50:58 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Kostov",
"Ivan K.",
""
]
] |
We present the exact solution of the Baxter's three-color problem on a random planar graph, using the random-matrix formulation of the problem, given by B. Eynard and C. Kristjansen. We find that the number of three-coloring of an infinite random graph is 0.9843 per vertex.
|
hep-th/9901074
|
Domenec Espriu
|
J.Alfaro, A.Dobado and D.Espriu
|
Chiral lagrangians and the QCD string
|
13 pages, 5 figures. Some modifications in the discussion section
|
Phys.Lett. B460 (1999) 447-454
|
10.1016/S0370-2693(99)00809-6
|
UB-ECM-PF 98/25
|
hep-th hep-ph
| null |
We propose a method to derive the low-energy efective action of QCD assuming
that the long-distance properties of strong interactions can be described by a
string theory. We bypass the usual problems related to the existence of the
tachyon and absence of the adequate Adler zero by using a sigma model approach
where excitations above the correct (chirally non-invariant) QCD vacuum are
included. Two-dimensional conformal invariance then implies the vanishing of
the O(p^4) effective lagrangian coefficients. We discuss ways to go beyond this
limit.
|
[
{
"created": "Mon, 18 Jan 1999 16:50:02 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Jun 1999 16:52:35 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Alfaro",
"J.",
""
],
[
"Dobado",
"A.",
""
],
[
"Espriu",
"D.",
""
]
] |
We propose a method to derive the low-energy efective action of QCD assuming that the long-distance properties of strong interactions can be described by a string theory. We bypass the usual problems related to the existence of the tachyon and absence of the adequate Adler zero by using a sigma model approach where excitations above the correct (chirally non-invariant) QCD vacuum are included. Two-dimensional conformal invariance then implies the vanishing of the O(p^4) effective lagrangian coefficients. We discuss ways to go beyond this limit.
|
hep-th/9503152
|
Thomas Ackermann
|
T.Ackermann, J.Tolksdorf
|
A generalized Lichnerowicz formula, the Wodzicki Residue and Gravity
|
10 pages, plain tex
| null |
10.1016/0393-0440(95)00030-5
|
CPT-94/P.3106, Mannheimer Manuskripte 181
|
hep-th
| null |
We prove a generalized version of the well-known Lichnerowicz formula for the
square of the most general Dirac operator $\widetilde{D}$\ on an
even-dimensional spin manifold associated to a metric connection
$\widetilde{\nabla}$. We use this formula to compute the subleading term
$\Phi_1(x,x, \widetilde{D}^2)$\ of the heat-kernel expansion of
$\widetilde{D}^2$. The trace of this term plays a key-r$\hat {\petit\rm o}$le
in the definition of a (euclidian) gravity action in the context of
non-commutative geometry. We show that this gravity action can be interpreted
as defining a modified euclidian Einstein-Cartan theory.
|
[
{
"created": "Thu, 23 Mar 1995 06:42:34 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Ackermann",
"T.",
""
],
[
"Tolksdorf",
"J.",
""
]
] |
We prove a generalized version of the well-known Lichnerowicz formula for the square of the most general Dirac operator $\widetilde{D}$\ on an even-dimensional spin manifold associated to a metric connection $\widetilde{\nabla}$. We use this formula to compute the subleading term $\Phi_1(x,x, \widetilde{D}^2)$\ of the heat-kernel expansion of $\widetilde{D}^2$. The trace of this term plays a key-r$\hat {\petit\rm o}$le in the definition of a (euclidian) gravity action in the context of non-commutative geometry. We show that this gravity action can be interpreted as defining a modified euclidian Einstein-Cartan theory.
|
1010.5380
|
Yuya Sasai
|
Yuya Sasai and Ali Zahabi
|
Shear viscosity of a highly excited string and the black hole membrane
paradigm
|
22 pages, no figure, minor corrections
|
Phys.Rev.D83:026002,2011
|
10.1103/PhysRevD.83.026002
|
HIP-2010-27/TH
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Black hole membrane paradigm states that a certain viscous membrane seems to
be sitting on a stretched horizon of a black hole from the viewpoint of a
distant observer. We show that the shear viscosity of the fictitious membrane
can be reproduced by a highly excited string covering the stretched horizon
except for a numerical coefficient.
|
[
{
"created": "Tue, 26 Oct 2010 12:35:12 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jan 2011 14:38:40 GMT",
"version": "v2"
}
] |
2011-02-25
|
[
[
"Sasai",
"Yuya",
""
],
[
"Zahabi",
"Ali",
""
]
] |
Black hole membrane paradigm states that a certain viscous membrane seems to be sitting on a stretched horizon of a black hole from the viewpoint of a distant observer. We show that the shear viscosity of the fictitious membrane can be reproduced by a highly excited string covering the stretched horizon except for a numerical coefficient.
|
1812.10821
|
Djordje Minic
|
Laurent Freidel, Jerzy Kowalski-Glikman, Robert G. Leigh and Djordje
Minic
|
The Theory of Metaparticles
|
20 pages, 1 figure; published in Phys. Rev. D. (March 26, 2019)
volume 99, eid 066011
|
Phys. Rev. D 99, 066011 (2019)
|
10.1103/PhysRevD.99.066011
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce and develop the theory of metaparticles. At the classical level,
this is a world-line theory with the usual reparameterization invariance and
two additional features. The theory is motivated by string theory on compact
targets, and can be thought of, at least at the non-interacting level, as a
theory of particles at a given string level, or as a particle model for Born
geometries. The first additional feature of the model is the presence of an
additional local symmetry, which from the string point of view corresponds to
the completion of worldsheet diffeomorphism invariance. From the particle
world-line point of view, this symmetry is associated with an additional local
constraint. The second feature is the presence of a non-trivial symplectic form
on the metaparticle phase space, also motivated by string theory [1, 2].
Because of its interpretation as a particle model on Born geometry, the
space-time on which the metaparticle propagates is ambiguous, with different
choices related by what in string theory we would call T-duality. In this
paper, we define the model, and explore some of its principle classical and
quantum properties, including causality and unitarity.
|
[
{
"created": "Thu, 27 Dec 2018 20:48:30 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Mar 2019 16:49:52 GMT",
"version": "v2"
}
] |
2019-04-03
|
[
[
"Freidel",
"Laurent",
""
],
[
"Kowalski-Glikman",
"Jerzy",
""
],
[
"Leigh",
"Robert G.",
""
],
[
"Minic",
"Djordje",
""
]
] |
We introduce and develop the theory of metaparticles. At the classical level, this is a world-line theory with the usual reparameterization invariance and two additional features. The theory is motivated by string theory on compact targets, and can be thought of, at least at the non-interacting level, as a theory of particles at a given string level, or as a particle model for Born geometries. The first additional feature of the model is the presence of an additional local symmetry, which from the string point of view corresponds to the completion of worldsheet diffeomorphism invariance. From the particle world-line point of view, this symmetry is associated with an additional local constraint. The second feature is the presence of a non-trivial symplectic form on the metaparticle phase space, also motivated by string theory [1, 2]. Because of its interpretation as a particle model on Born geometry, the space-time on which the metaparticle propagates is ambiguous, with different choices related by what in string theory we would call T-duality. In this paper, we define the model, and explore some of its principle classical and quantum properties, including causality and unitarity.
|
hep-th/0011172
| null |
V.P. Nair (CUNY), A.P. Polychronakos (CUNY & Ru)
|
Quantum mechanics on the noncommutative plane and sphere
|
12 pages, no figures; references added
|
Phys.Lett.B505:267-274,2001
|
10.1016/S0370-2693(01)00339-2
|
CCNY-HEP-00/7, RU-00-12-B
|
hep-th
| null |
We consider the quantum mechanics of a particle on a noncommutative plane.
The case of a charged particle in a magnetic field (the Landau problem) with a
harmonic oscillator potential is solved. There is a critical point, where the
density of states becomes infinite, for the value of the magnetic field equal
to the inverse of the noncommutativity parameter. The Landau problem on the
noncommutative two-sphere is also solved and compared to the plane problem.
|
[
{
"created": "Sun, 19 Nov 2000 20:56:18 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jan 2001 15:54:07 GMT",
"version": "v2"
}
] |
2011-05-05
|
[
[
"Nair",
"V. P.",
"",
"CUNY"
],
[
"Polychronakos",
"A. P.",
"",
"CUNY & Ru"
]
] |
We consider the quantum mechanics of a particle on a noncommutative plane. The case of a charged particle in a magnetic field (the Landau problem) with a harmonic oscillator potential is solved. There is a critical point, where the density of states becomes infinite, for the value of the magnetic field equal to the inverse of the noncommutativity parameter. The Landau problem on the noncommutative two-sphere is also solved and compared to the plane problem.
|
hep-th/9210056
|
hector DE Vega
|
H.J. de Vega
|
Simple Approach to Thermal Bethe Ansatz
|
12 pages, phyzzx
| null | null |
LPTHE 92-30
|
hep-th
| null |
We report on a new approach to the calculation of thermodynamic functions for
crossing-invariant models solvable by Bethe Ansatz. In the case of the XXZ
Heisenberg chain we derive, for arbitrary values of the anysotropy, a single
non-linear integral equation from which the free energy can be exactly
calculated.These equations are shown to be equivalent to an infinite set of
algebraic equations of Bethe type which provide alternatively the
thermodinamics.
The high-temperature expansion follows in a sistematic and relatively simple
way from our non-linear integral equations. For low temperatures we obtain the
correct central charge and predict the analytic structure of the full expansion
around T=0. Furthermore, we derive a single non-linear integral equation
describing the finite-size ground-state energy of the Sine-Gordon quantum field
theory.
|
[
{
"created": "Fri, 9 Oct 1992 17:23:31 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"de Vega",
"H. J.",
""
]
] |
We report on a new approach to the calculation of thermodynamic functions for crossing-invariant models solvable by Bethe Ansatz. In the case of the XXZ Heisenberg chain we derive, for arbitrary values of the anysotropy, a single non-linear integral equation from which the free energy can be exactly calculated.These equations are shown to be equivalent to an infinite set of algebraic equations of Bethe type which provide alternatively the thermodinamics. The high-temperature expansion follows in a sistematic and relatively simple way from our non-linear integral equations. For low temperatures we obtain the correct central charge and predict the analytic structure of the full expansion around T=0. Furthermore, we derive a single non-linear integral equation describing the finite-size ground-state energy of the Sine-Gordon quantum field theory.
|
2107.06821
|
Aroonkumar Beesham
|
Aroonkumar Beesham, Kazuharu Bamba
|
Inflationary universe from anomaly-free $F(R)$-gravity
|
11 pages, 7 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
By adding a three dimensional manifold to an eleven dimensional manifold in
supergravity, we obtain the action of $F(R)$-gravity and find that it is
anomaly free. We calculate the scale factor of the inflationary universe in
this model, and observe that it is related to the slow-roll parameters. The
scalar-tensor ratio R\_(scalar-tensor) is in good agreement with experimental
data.
|
[
{
"created": "Mon, 5 Jul 2021 16:33:51 GMT",
"version": "v1"
}
] |
2021-07-15
|
[
[
"Beesham",
"Aroonkumar",
""
],
[
"Bamba",
"Kazuharu",
""
]
] |
By adding a three dimensional manifold to an eleven dimensional manifold in supergravity, we obtain the action of $F(R)$-gravity and find that it is anomaly free. We calculate the scale factor of the inflationary universe in this model, and observe that it is related to the slow-roll parameters. The scalar-tensor ratio R\_(scalar-tensor) is in good agreement with experimental data.
|
hep-th/9509109
|
Nami Fux Svaiter
|
F.S.Nogueira and N.F.Svaiter (CBPF)
|
Dimensional transmutation and symmetry breaking in Maxwell- Chern-Simons
scalar QED
|
e-mail: nfuxsvai@lca1.drp.cbpf.br
|
Mod.Phys.Lett. A11 (1996) 1627-1636
|
10.1142/S0217732396001624
| null |
hep-th
| null |
The mechanism of dimensional transmutation is discussed in the context of
Maxwell-Chern-Simons scalar QED. The method used is non-perturbative. The
effective potential describes a broken symmetry state. It is found that the
symmetry breaking vacuum is more stable when the Chern-Simons mass is different
from zero.
Pacs number: 11.10.Ef, 11.10.Gh.
|
[
{
"created": "Thu, 21 Sep 1995 00:10:26 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Nogueira",
"F. S.",
"",
"CBPF"
],
[
"Svaiter",
"N. F.",
"",
"CBPF"
]
] |
The mechanism of dimensional transmutation is discussed in the context of Maxwell-Chern-Simons scalar QED. The method used is non-perturbative. The effective potential describes a broken symmetry state. It is found that the symmetry breaking vacuum is more stable when the Chern-Simons mass is different from zero. Pacs number: 11.10.Ef, 11.10.Gh.
|
1904.04634
|
Eugenio R. Bezerra de Mello
|
Herondy F. Santana Mota and Eug\^enio R. Bezerra de Mello
|
Induced Brownian motion by the Friedmann-Robertson-Walker spacetime in
the presence of a cosmic string
|
24 pages, 2 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we investigate the quantum Brownian motion of a massive scalar
point particle induced by the FRW spacetime in the presence of a linear
topological defect named cosmic string. In addition, we also consider a flat
boundary orthogonal to the defect to analyse its effect on the particle's
motion. For both cases we found exact expressions for the renormalized mean
square deviation of the particle velocity, the quantity that measures the
induced Brownian motion, and obtain asymptotic expressions when the point
particle is near and far away from the cosmic string and the boundary.
Furthermore, in both cases, there appears divergencies in the mean square
deviation of the particle velocity coming from a time interval that correspond
to a round trip of the massive point particle between its position and the
cosmic string/flat boundary. The number of divergencies depends upon the radial
position of the particle and the parameter associated with the cosmic string in
the case without boundary, and upon this parameter and the radial and $z$
positions of the particle in the case with boundary.
|
[
{
"created": "Tue, 9 Apr 2019 13:08:17 GMT",
"version": "v1"
}
] |
2019-04-10
|
[
[
"Mota",
"Herondy F. Santana",
""
],
[
"de Mello",
"Eugênio R. Bezerra",
""
]
] |
In this paper we investigate the quantum Brownian motion of a massive scalar point particle induced by the FRW spacetime in the presence of a linear topological defect named cosmic string. In addition, we also consider a flat boundary orthogonal to the defect to analyse its effect on the particle's motion. For both cases we found exact expressions for the renormalized mean square deviation of the particle velocity, the quantity that measures the induced Brownian motion, and obtain asymptotic expressions when the point particle is near and far away from the cosmic string and the boundary. Furthermore, in both cases, there appears divergencies in the mean square deviation of the particle velocity coming from a time interval that correspond to a round trip of the massive point particle between its position and the cosmic string/flat boundary. The number of divergencies depends upon the radial position of the particle and the parameter associated with the cosmic string in the case without boundary, and upon this parameter and the radial and $z$ positions of the particle in the case with boundary.
|
1501.05658
|
Ed Seidewitz
|
Ed Seidewitz
|
Avoiding Haag's theorem with parameterized quantum field theory
|
RevTex 4; v2: Title changed and early sections significantly
re-written to improve parallel with traditional QFT and focus on what is
necessary for Haag's Theorem; v3: Shortened and re-written based on a more
rigorous underlying formalism; v4: Accepted for publication in Found Phys; v5
Editorial corrections
|
Found Phys, 47(3), 355-374 (2017)
|
10.1007/s10701-017-0065-8
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Under the normal assumptions of quantum field theory, Haag's theorem states
that any field unitarily equivalent to a free field must itself be a free
field. Unfortunately, the derivation of the Dyson series perturbation expansion
relies on the use of the interaction picture, in which the interacting field is
unitarily equivalent to the free field but must still account for interactions.
Thus, the traditional perturbative derivation of the scattering matrix in
quantum field theory is mathematically ill defined. Nevertheless, perturbative
quantum field theory is currently the only practical approach for addressing
scattering for realistic interactions, and it has been spectacularly successful
in making empirical predictions. This paper explains this success by showing
Haag's Theorem can be avoided when quantum field theory is formulated using an
invariant, fifth path parameter in addition to the usual four position
parameters, such that the Dyson perturbation expansion for the scattering
matrix can still be reproduced. As a result, the parameterized formalism
provides a consistent foundation for the interpretation of quantum field theory
as used in practice and, perhaps, for better dealing with other mathematical
issues.
|
[
{
"created": "Thu, 22 Jan 2015 21:00:13 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Sep 2015 21:23:21 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Sep 2016 04:07:59 GMT",
"version": "v3"
},
{
"created": "Thu, 26 Jan 2017 05:49:21 GMT",
"version": "v4"
},
{
"created": "Tue, 28 Feb 2017 04:48:44 GMT",
"version": "v5"
}
] |
2017-03-01
|
[
[
"Seidewitz",
"Ed",
""
]
] |
Under the normal assumptions of quantum field theory, Haag's theorem states that any field unitarily equivalent to a free field must itself be a free field. Unfortunately, the derivation of the Dyson series perturbation expansion relies on the use of the interaction picture, in which the interacting field is unitarily equivalent to the free field but must still account for interactions. Thus, the traditional perturbative derivation of the scattering matrix in quantum field theory is mathematically ill defined. Nevertheless, perturbative quantum field theory is currently the only practical approach for addressing scattering for realistic interactions, and it has been spectacularly successful in making empirical predictions. This paper explains this success by showing Haag's Theorem can be avoided when quantum field theory is formulated using an invariant, fifth path parameter in addition to the usual four position parameters, such that the Dyson perturbation expansion for the scattering matrix can still be reproduced. As a result, the parameterized formalism provides a consistent foundation for the interpretation of quantum field theory as used in practice and, perhaps, for better dealing with other mathematical issues.
|
1011.4120
|
Wen-Li Yang
|
Wen-Li Yang and Yao-Zhong Zhang
|
Drinfeld twists of the open XXZ chain with non-diagonal boundary terms
|
Latex file, 25 pages
|
Nucl.Phys.B831:408-428,2010
|
10.1016/j.nuclphysb.2010.01.001
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Drinfeld twists or factorizing F-matrices for the open XXZ spin chain
with non-diagonal boundary terms are constructed. It is shown that in the
F-basis the two sets of pseudo-particle creation operators simultaneously take
completely symmetric and polarization free form. The explicit and completely
symmetric expressions of the two sets of Bethe states of the model are
obtained.
|
[
{
"created": "Thu, 18 Nov 2010 01:28:39 GMT",
"version": "v1"
}
] |
2011-07-06
|
[
[
"Yang",
"Wen-Li",
""
],
[
"Zhang",
"Yao-Zhong",
""
]
] |
The Drinfeld twists or factorizing F-matrices for the open XXZ spin chain with non-diagonal boundary terms are constructed. It is shown that in the F-basis the two sets of pseudo-particle creation operators simultaneously take completely symmetric and polarization free form. The explicit and completely symmetric expressions of the two sets of Bethe states of the model are obtained.
|
1302.0670
|
S. Weinzierl
|
Stefan Weinzierl
|
Periods and Hodge structures in perturbative quantum field theory
|
11 pages, to appear in the proceedings of the workshop "Periods and
Motives", Madrid, July 2012, v2: typos corrected, comments added
| null | null | null |
hep-th hep-ph math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
There is a fruitful interplay between algebraic geometry on the one side and
perturbative quantum field theory on the other side. I review the main relevant
mathematical concepts of periods, Hodge structures and Picard-Fuchs equations
and discuss the connection with Feynman integrals.
|
[
{
"created": "Mon, 4 Feb 2013 12:40:48 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Jul 2013 15:28:13 GMT",
"version": "v2"
}
] |
2013-07-09
|
[
[
"Weinzierl",
"Stefan",
""
]
] |
There is a fruitful interplay between algebraic geometry on the one side and perturbative quantum field theory on the other side. I review the main relevant mathematical concepts of periods, Hodge structures and Picard-Fuchs equations and discuss the connection with Feynman integrals.
|
1807.07608
|
Igor Shovkovy
|
D. O. Rybalka, E. V. Gorbar and I. A. Shovkovy
|
Hydrodynamic modes in a magnetized chiral plasma with vorticity
|
27 pages, 5 figures, published version
|
Phys. Rev. D 99, 016017 (2019)
|
10.1103/PhysRevD.99.016017
| null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By making use of a covariant formulation of the chiral kinetic theory in the
relaxation-time approximation, we derive the first-order dissipative
hydrodynamics equations for a charged chiral plasma with background
electromagnetic fields. We identify the global equilibrium state for a rotating
chiral plasma confined to a cylindrical region with realistic boundary
conditions. Then, by using linearized hydrodynamic equations, supplemented by
the Maxwell equations, we study hydrodynamic modes of magnetized rotating
chiral plasma in the regimes of high temperature and high density. We find
that, in both regimes, dynamical electromagnetism has profound effects on the
spectrum of propagating modes. In particular, there are only the sound and
Alfv\'en waves in the regime of high temperature, and the plasmons and helicons
at high density. We also show that the chiral magnetic wave is universally
overdamped because of high electrical conductivity in plasma that causes an
efficient screening of charge fluctuations. The physics implications of the
main results are briefly discussed.
|
[
{
"created": "Thu, 19 Jul 2018 19:00:17 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Nov 2018 22:04:34 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Feb 2019 17:32:01 GMT",
"version": "v3"
}
] |
2019-02-06
|
[
[
"Rybalka",
"D. O.",
""
],
[
"Gorbar",
"E. V.",
""
],
[
"Shovkovy",
"I. A.",
""
]
] |
By making use of a covariant formulation of the chiral kinetic theory in the relaxation-time approximation, we derive the first-order dissipative hydrodynamics equations for a charged chiral plasma with background electromagnetic fields. We identify the global equilibrium state for a rotating chiral plasma confined to a cylindrical region with realistic boundary conditions. Then, by using linearized hydrodynamic equations, supplemented by the Maxwell equations, we study hydrodynamic modes of magnetized rotating chiral plasma in the regimes of high temperature and high density. We find that, in both regimes, dynamical electromagnetism has profound effects on the spectrum of propagating modes. In particular, there are only the sound and Alfv\'en waves in the regime of high temperature, and the plasmons and helicons at high density. We also show that the chiral magnetic wave is universally overdamped because of high electrical conductivity in plasma that causes an efficient screening of charge fluctuations. The physics implications of the main results are briefly discussed.
|
0807.2164
|
Giuseppe Vitiello
|
Giuseppe Vitiello
|
Topological defects, fractals and the structure of quantum field theory
|
17 pages
| null | null | null |
hep-th cond-mat.other nlin.PS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper I discuss the formation of topological defects in quantum field
theory and the relation between fractals and coherent states. The study of
defect formation is particularly useful in the understanding of the same
mathematical structure of quantum field theory with particular reference to the
processes of non-equilibrium symmetry breaking. The functional realization of
fractals in terms of the q-deformed algebra of coherent states is also
presented. From one side, this sheds some light on the dynamical formation of
fractals. From the other side, it also exhibits the fractal nature of coherent
states, thus opening new perspectives in the analysis of those phenomena where
coherent states play a relevant role. The global nature of fractals appears to
emerge from local deformation processes and fractal properties are incorporated
in the framework of the theory of entire analytical functions.
|
[
{
"created": "Sun, 13 Jul 2008 10:58:16 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Aug 2008 14:23:32 GMT",
"version": "v2"
}
] |
2008-08-22
|
[
[
"Vitiello",
"Giuseppe",
""
]
] |
In this paper I discuss the formation of topological defects in quantum field theory and the relation between fractals and coherent states. The study of defect formation is particularly useful in the understanding of the same mathematical structure of quantum field theory with particular reference to the processes of non-equilibrium symmetry breaking. The functional realization of fractals in terms of the q-deformed algebra of coherent states is also presented. From one side, this sheds some light on the dynamical formation of fractals. From the other side, it also exhibits the fractal nature of coherent states, thus opening new perspectives in the analysis of those phenomena where coherent states play a relevant role. The global nature of fractals appears to emerge from local deformation processes and fractal properties are incorporated in the framework of the theory of entire analytical functions.
|
1102.4742
|
Alexander Westphal
|
Koushik Dutta, Pascal M. Vaudrevange and Alexander Westphal
|
An Exact Tunneling Solution in a Simple Realistic Landscape
|
RevTeX 4.1, 4 pages, 5 figures
|
Class.Quant.Grav. 29 (2012) 065011
|
10.1088/0264-9381/29/6/065011
|
DESY-11-028
|
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present an analytical solution for the tunneling process in a piecewise
linear and quadratic potential which does not make use of the thin-wall
approximation. A quadratic potential allows for smooth attachment of various
slopes exiting into the final minimum of a realistic potential. Our tunneling
solution thus serves as a realistic approximation to situations such as
populating a landscape of slow-roll inflationary regions by tunneling, and it
is valid for all regimes of the barrier parameters. We shortly comment on the
inclusion of gravity.
|
[
{
"created": "Wed, 23 Feb 2011 14:03:35 GMT",
"version": "v1"
}
] |
2015-07-24
|
[
[
"Dutta",
"Koushik",
""
],
[
"Vaudrevange",
"Pascal M.",
""
],
[
"Westphal",
"Alexander",
""
]
] |
We present an analytical solution for the tunneling process in a piecewise linear and quadratic potential which does not make use of the thin-wall approximation. A quadratic potential allows for smooth attachment of various slopes exiting into the final minimum of a realistic potential. Our tunneling solution thus serves as a realistic approximation to situations such as populating a landscape of slow-roll inflationary regions by tunneling, and it is valid for all regimes of the barrier parameters. We shortly comment on the inclusion of gravity.
|
0708.0707
|
Pulak Ranjan Giri
|
Pulak Ranjan Giri
|
Hidden scale in quantum mechanics
|
4 pages, 5 figures
|
Mod.Phys.Lett.A24:2203-2211,2009
|
10.1142/S0217732309030102
|
SINP/TNP/2007/19
|
hep-th quant-ph
| null |
We show that the intriguing localization of a free particle wave-packet is
possible due to a hidden scale present in the system. Self-adjoint extensions
(SAE) is responsible for introducing this scale in quantum mechanical models
through the nontrivial boundary conditions. We discuss a couple of classically
scale invariant free particle systems to illustrate the issue. In this context
it has been shown that a free quantum particle moving on a full line may have
localized wave-packet around the origin. As a generalization, it has also been
shown that particles moving on a portion of a plane or on a portion of a three
dimensional space can have unusual localized wave-packet.
|
[
{
"created": "Mon, 6 Aug 2007 06:22:14 GMT",
"version": "v1"
}
] |
2010-11-15
|
[
[
"Giri",
"Pulak Ranjan",
""
]
] |
We show that the intriguing localization of a free particle wave-packet is possible due to a hidden scale present in the system. Self-adjoint extensions (SAE) is responsible for introducing this scale in quantum mechanical models through the nontrivial boundary conditions. We discuss a couple of classically scale invariant free particle systems to illustrate the issue. In this context it has been shown that a free quantum particle moving on a full line may have localized wave-packet around the origin. As a generalization, it has also been shown that particles moving on a portion of a plane or on a portion of a three dimensional space can have unusual localized wave-packet.
|
hep-th/9807212
|
Fabian Gaioli
|
Juan P. Aparicio, Fabian H. Gaioli, and Edgardo T. Garcia Alvarez
|
Proper time derivatives in quantum mechanics
|
10 pages, Revtex
|
Phys.Rev.A51:96-103,1995
|
10.1103/PhysRevA.51.96
| null |
hep-th quant-ph
| null |
Several quantum proper time derivatives are obtained from the Beck one in the
usual framework of relativistic quantum mechanics (spin 1/2 case). The ``scalar
Hamiltonians'' of these derivatives should be thought of as the conjugate
variables of the proper time. Then, the Hamiltonians would play the role of
mass operators, suggesting the formulation of an adequate extended indefinite
mass framework. We propose and briefly develop the framework corresponding to
the Feynman parametrization of the Dirac equation. In such a case we derive the
other parametrizations known in the literature, linking the extension of the
different proposals of quantum proper time derivatives again.
|
[
{
"created": "Tue, 28 Jul 1998 22:07:27 GMT",
"version": "v1"
}
] |
2010-11-23
|
[
[
"Aparicio",
"Juan P.",
""
],
[
"Gaioli",
"Fabian H.",
""
],
[
"Alvarez",
"Edgardo T. Garcia",
""
]
] |
Several quantum proper time derivatives are obtained from the Beck one in the usual framework of relativistic quantum mechanics (spin 1/2 case). The ``scalar Hamiltonians'' of these derivatives should be thought of as the conjugate variables of the proper time. Then, the Hamiltonians would play the role of mass operators, suggesting the formulation of an adequate extended indefinite mass framework. We propose and briefly develop the framework corresponding to the Feynman parametrization of the Dirac equation. In such a case we derive the other parametrizations known in the literature, linking the extension of the different proposals of quantum proper time derivatives again.
|
hep-th/9509145
|
Eric Bergshoeff
|
Eric Bergshoeff (University of Groningen)
|
Duality Symmetries and the Type II String Effective Action
|
19 pages, Latex, based on talk given at the Trieste conference on
S-duality and Mirror Symmetry, June 1995
|
Nucl.Phys.Proc.Suppl. 46 (1996) 39-48
|
10.1016/0920-5632(96)00005-9
|
UG-11/95
|
hep-th
| null |
We discuss the duality symmetries of Type II string effective actions in
nine, ten and eleven dimensions. As a by-product we give a covariant action
underlying the ten--dimensional Type IIB supergravity theory. We apply duality
symmetries to construct dyonic Type II string solutions in six dimensions and
their reformulation as solutions of the ten--dimensional Type IIB theory in ten
dimensions.
|
[
{
"created": "Tue, 26 Sep 1995 14:43:51 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Bergshoeff",
"Eric",
"",
"University of Groningen"
]
] |
We discuss the duality symmetries of Type II string effective actions in nine, ten and eleven dimensions. As a by-product we give a covariant action underlying the ten--dimensional Type IIB supergravity theory. We apply duality symmetries to construct dyonic Type II string solutions in six dimensions and their reformulation as solutions of the ten--dimensional Type IIB theory in ten dimensions.
|
hep-th/9512176
|
Grigore Dan
|
Dan Radu Grigore
|
Variational Equations and Symmetries in the Lagrangian Formalism II.
Arbitrary Vector Fields
|
26 pages, LATEX, some errors corrected, many simplifications of the
proofs
|
Fortsch.Phys. 45 (1997) 727-751
| null | null |
hep-th
| null |
We continue the study of symmetries in the Lagrangian formalism of arbitrary
order with the help of the so-called Anderson-Duchamp-Krupka equations. For the
case of second-order equations and arbitrary vector fields we are able to
establish a polynomial structure in the second-order derivatives. This
structure is based on the some linear combinations of Olver hyper-Jacobians. We
use as the main tools Fock space techniques and induction. This structure can
be used to analyze Lagrangian systems with groups of Noetherian symmetries. As
an illustration we analyze the case of Lagrangian equations with Abelian gauge
invariance.
|
[
{
"created": "Thu, 21 Dec 1995 14:58:58 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Aug 1996 10:19:44 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Grigore",
"Dan Radu",
""
]
] |
We continue the study of symmetries in the Lagrangian formalism of arbitrary order with the help of the so-called Anderson-Duchamp-Krupka equations. For the case of second-order equations and arbitrary vector fields we are able to establish a polynomial structure in the second-order derivatives. This structure is based on the some linear combinations of Olver hyper-Jacobians. We use as the main tools Fock space techniques and induction. This structure can be used to analyze Lagrangian systems with groups of Noetherian symmetries. As an illustration we analyze the case of Lagrangian equations with Abelian gauge invariance.
|
hep-th/0702188
|
Etsuko Itou
|
Takeshi Higashi, Kiyoshi Higashijima and Etsuko Itou
|
Three dimensional conformal sigma models
|
20page, 6figures
| null |
10.1143/PTP.117.1139
|
OU-HET 573
|
hep-th
| null |
We construct novel conformal sigma models in three dimensions. Nonlinear
sigma models in three dimensions are nonrenormalizable in perturbation theory.
We use Wilsonian renormalization group equation method to find the fixed
points. Existence of fixed points is extremely important in this approach to
show the renormalizability. Conformal sigma models are defined as the fixed
point theories of the Wilsonian renormalization group equation. The Wilsonian
renormalization group equation with anomalous dimension coincides with the
modified Ricci flow equation. The conformal sigma models are characterized by
one parameter which corresponds to the anomalous dimension of the scalar
fields. Any Einstein-K\"{a}hler manifold corresponds to a conformal field
theory when the anomalous dimension is $\gamma=-1/2$. Furthermore, we
investigate the properties of target spaces in detail for two dimensional case,
and find the target space of the fixed point theory becomes compact or
noncompact depending on the value of the anomalous dimension.
|
[
{
"created": "Fri, 23 Feb 2007 06:00:13 GMT",
"version": "v1"
},
{
"created": "Fri, 25 May 2007 03:34:32 GMT",
"version": "v2"
}
] |
2009-11-13
|
[
[
"Higashi",
"Takeshi",
""
],
[
"Higashijima",
"Kiyoshi",
""
],
[
"Itou",
"Etsuko",
""
]
] |
We construct novel conformal sigma models in three dimensions. Nonlinear sigma models in three dimensions are nonrenormalizable in perturbation theory. We use Wilsonian renormalization group equation method to find the fixed points. Existence of fixed points is extremely important in this approach to show the renormalizability. Conformal sigma models are defined as the fixed point theories of the Wilsonian renormalization group equation. The Wilsonian renormalization group equation with anomalous dimension coincides with the modified Ricci flow equation. The conformal sigma models are characterized by one parameter which corresponds to the anomalous dimension of the scalar fields. Any Einstein-K\"{a}hler manifold corresponds to a conformal field theory when the anomalous dimension is $\gamma=-1/2$. Furthermore, we investigate the properties of target spaces in detail for two dimensional case, and find the target space of the fixed point theory becomes compact or noncompact depending on the value of the anomalous dimension.
|
2205.15467
|
Hasan Mahmood
|
Hasan Mahmood, R. A. Reid-Edwards
|
Operator Deformations and T-duality via Parallel Transport
|
48+13 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider deformations of CFTs from the perspective of parallel transport
in moduli space. In particular, we show how the deformations of individual
operators can be computed and we also explore how these ideas can be extended
to more general QFTs lacking conformal symmetry. We explore how to write one
theory in terms of operators defined in a nearby theory, related to the first
by a parallel transport in theory space. Using this construction, we describe
how T-duality can be realised and how this provides a different perspective
from the usual Buscher construction.
|
[
{
"created": "Mon, 30 May 2022 23:46:08 GMT",
"version": "v1"
}
] |
2022-06-01
|
[
[
"Mahmood",
"Hasan",
""
],
[
"Reid-Edwards",
"R. A.",
""
]
] |
We consider deformations of CFTs from the perspective of parallel transport in moduli space. In particular, we show how the deformations of individual operators can be computed and we also explore how these ideas can be extended to more general QFTs lacking conformal symmetry. We explore how to write one theory in terms of operators defined in a nearby theory, related to the first by a parallel transport in theory space. Using this construction, we describe how T-duality can be realised and how this provides a different perspective from the usual Buscher construction.
|
1511.01002
|
David Rodr\'iguez Fern\'andez
|
Carlos Hoyos, David Rodr\'iguez Fern\'andez
|
Ward identities and relations between conductivities and viscosities in
holography
|
38 pages, to be published in JHEP
| null |
10.1007/JHEP01(2016)013
|
FPAU0-15/14
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive relations between viscosities and momentum conductivity in $2+1$
dimensions by finding a generalization of holographic Ward identities for the
energy-momentum tensor. The generalization is novel in the sense that it goes
beyond the usual identities obtained from holographic renormalization. Our
results are consistent with previous field theory analysis. The main tools we
use are a constant `probability current' in the gravity dual, that we are able
to define for any system of linear ODEs, and parity symmetry.
|
[
{
"created": "Tue, 3 Nov 2015 17:21:03 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Nov 2015 09:59:57 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Dec 2015 17:00:03 GMT",
"version": "v3"
}
] |
2016-01-27
|
[
[
"Hoyos",
"Carlos",
""
],
[
"Fernández",
"David Rodríguez",
""
]
] |
We derive relations between viscosities and momentum conductivity in $2+1$ dimensions by finding a generalization of holographic Ward identities for the energy-momentum tensor. The generalization is novel in the sense that it goes beyond the usual identities obtained from holographic renormalization. Our results are consistent with previous field theory analysis. The main tools we use are a constant `probability current' in the gravity dual, that we are able to define for any system of linear ODEs, and parity symmetry.
|
hep-th/9802046
|
Bert Schroer
|
Bert Schroer (FU-Berlin)
|
Coincidences between M(atrix) Theory and Algebraic QFT?
| null | null | null | null |
hep-th
| null |
The content of this paper is incorporated into hep-th/9805093
|
[
{
"created": "Sat, 7 Feb 1998 19:00:58 GMT",
"version": "v1"
},
{
"created": "Fri, 15 May 1998 16:43:41 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Schroer",
"Bert",
"",
"FU-Berlin"
]
] |
The content of this paper is incorporated into hep-th/9805093
|
2010.06762
|
Eduardo Folco Capossoli
|
Diego M. Rodrigues, Danning Li, Eduardo Folco Capossoli and Henrique
Boschi-Filho
|
Finite density effects on chiral symmetry breaking in a magnetic field
in 2+1 dimensions from holography
|
V3: 17 pages, 3 figures. Text improved. Typos corrected. New
references added. Results unchanged. This version matches the published one
in PRD
|
Phys. Rev. D 103, 066022 (2021)
|
10.1103/PhysRevD.103.066022
| null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
In this work we study finite density effects in spontaneous chiral symmetry
breaking as well as chiral phase transition under the influence of a background
magnetic field in $ 2+1 $ dimensions. For this purpose, we use an improved
holographic softwall model based on an interpolated dilaton profile. We find
inverse magnetic catalysis at finite density. We observe that the chiral
condensate decreases as the density increases, and the two effects (addition of
magnetic field and chemical potential) sum up decreasing even more the chiral
condensate.
|
[
{
"created": "Wed, 14 Oct 2020 01:22:39 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Oct 2020 19:39:56 GMT",
"version": "v2"
},
{
"created": "Fri, 26 Mar 2021 16:31:41 GMT",
"version": "v3"
}
] |
2021-03-29
|
[
[
"Rodrigues",
"Diego M.",
""
],
[
"Li",
"Danning",
""
],
[
"Capossoli",
"Eduardo Folco",
""
],
[
"Boschi-Filho",
"Henrique",
""
]
] |
In this work we study finite density effects in spontaneous chiral symmetry breaking as well as chiral phase transition under the influence of a background magnetic field in $ 2+1 $ dimensions. For this purpose, we use an improved holographic softwall model based on an interpolated dilaton profile. We find inverse magnetic catalysis at finite density. We observe that the chiral condensate decreases as the density increases, and the two effects (addition of magnetic field and chemical potential) sum up decreasing even more the chiral condensate.
|
hep-th/0502208
|
Yuri Aisaka
|
Yuri Aisaka and Yoichi Kazama
|
Origin of Pure Spinor Superstring
|
21 pages, no figure; v2: refs. added
|
JHEP 0505:046,2005
|
10.1088/1126-6708/2005/05/046
|
UT-Komaba 05-2
|
hep-th
| null |
The pure spinor formalism for the superstring, initiated by N. Berkovits, is
derived at the fully quantum level starting from a fundamental
reparametrization invariant and super-Poincare invariant worldsheet action. It
is a simple extension of the Green-Schwarz action with doubled spinor degrees
of freedom with a compensating local supersymmetry on top of the conventional
kappa-symmetry. Equivalence to the Green-Schwarz formalism is manifest from the
outset. The use of free fields in the pure spinor formalism is justified from
the first principle. The basic idea works also for the superparticle in 11
dimensions.
|
[
{
"created": "Wed, 23 Feb 2005 09:15:12 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Mar 2005 10:20:17 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Aisaka",
"Yuri",
""
],
[
"Kazama",
"Yoichi",
""
]
] |
The pure spinor formalism for the superstring, initiated by N. Berkovits, is derived at the fully quantum level starting from a fundamental reparametrization invariant and super-Poincare invariant worldsheet action. It is a simple extension of the Green-Schwarz action with doubled spinor degrees of freedom with a compensating local supersymmetry on top of the conventional kappa-symmetry. Equivalence to the Green-Schwarz formalism is manifest from the outset. The use of free fields in the pure spinor formalism is justified from the first principle. The basic idea works also for the superparticle in 11 dimensions.
|
2112.00531
|
Carlos Hoyos Badajoz
|
Kevin T. Grosvenor, Carlos Hoyos, Francisco Pe\~na-Benitez and Piotr
Sur\'owka
|
Space-dependent symmetries and fractons
|
26 pages, review article for Frontiers Research Topic "Non-Lorentzian
Geometry and its Applications", minor corrections, references added
| null | null | null |
hep-th cond-mat.stat-mech cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
There has been a surge of interest in effective non-Lorentzian theories of
excitations with restricted mobility, known as fractons. Examples include
defects in elastic materials, vortex lattices or spin liquids. In the effective
theory novel coordinate-dependent symmetries emerge that shape the properties
of fractons. In this review we will discuss these symmetries, cover the
effective description of gapless fractons via elastic duality, and discuss
their hydrodynamics.
|
[
{
"created": "Wed, 1 Dec 2021 14:41:49 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Dec 2021 18:41:58 GMT",
"version": "v2"
}
] |
2021-12-23
|
[
[
"Grosvenor",
"Kevin T.",
""
],
[
"Hoyos",
"Carlos",
""
],
[
"Peña-Benitez",
"Francisco",
""
],
[
"Surówka",
"Piotr",
""
]
] |
There has been a surge of interest in effective non-Lorentzian theories of excitations with restricted mobility, known as fractons. Examples include defects in elastic materials, vortex lattices or spin liquids. In the effective theory novel coordinate-dependent symmetries emerge that shape the properties of fractons. In this review we will discuss these symmetries, cover the effective description of gapless fractons via elastic duality, and discuss their hydrodynamics.
|
2407.04316
|
Sang-Heon Yi
|
Dongsu Bak, Chanju Kim, Sang-Heon Yi
|
Janus Deformation of de Sitter Space and Transitions in Gravitational
Algebras
|
1+19 pages, 3 figures v2: added references
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We consider a time-dependent $\mathcal{O}(1/G)$ deformation of pure de Sitter
(dS) space in dS gravity coupled to a massless scalar field. It is the dS
counterpart of the AdS Janus deformation and interpolates two asymptotically dS
spaces in the far past and the far future with a single deformation parameter.
The Penrose diagram can be elongated along the time direction indefinitely as
the deformation becomes large. After studying the classical properties of the
geometry such as the area theorem and the fluctuation by a matter field, we
explore the algebraic structure of the field operators on the deformed
spacetime. We argue that the algebra is a von Neumann factor of type
II$_\infty$ for small deformations, but there occurs a transition to type
I$_\infty$ as the deformation increases so that the neck region of the deformed
space becomes a Lorentzian cylinder.
|
[
{
"created": "Fri, 5 Jul 2024 07:36:54 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jul 2024 12:44:35 GMT",
"version": "v2"
}
] |
2024-07-10
|
[
[
"Bak",
"Dongsu",
""
],
[
"Kim",
"Chanju",
""
],
[
"Yi",
"Sang-Heon",
""
]
] |
We consider a time-dependent $\mathcal{O}(1/G)$ deformation of pure de Sitter (dS) space in dS gravity coupled to a massless scalar field. It is the dS counterpart of the AdS Janus deformation and interpolates two asymptotically dS spaces in the far past and the far future with a single deformation parameter. The Penrose diagram can be elongated along the time direction indefinitely as the deformation becomes large. After studying the classical properties of the geometry such as the area theorem and the fluctuation by a matter field, we explore the algebraic structure of the field operators on the deformed spacetime. We argue that the algebra is a von Neumann factor of type II$_\infty$ for small deformations, but there occurs a transition to type I$_\infty$ as the deformation increases so that the neck region of the deformed space becomes a Lorentzian cylinder.
|
0810.3344
|
Matheus Lazo Lazo
|
Matheus Jatkoske Lazo
|
Integrable Inhomogeneous Spin Chains in Generalized Lunin-Maldacena
Backgrounds
|
Change in references. Talk given at II Latin American Workshop on
High Energy Phenomenology and published in Brazilian Journal of Physics, vol.
38, no. 3B, September, 2008
|
Braz.J.Phys.38:472-476,2008
|
10.1590/S0103-97332008000400017
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We obtain through a Matrix Product Ansatz the exact solution of the most
general inhomogeneous spin chain with nearest neighbor interaction and with
$U(1)^2$ and $U(1)^3$ symmetries. These models are related to the one loop
mixing matrix of the Leigh-Strassler deformed N=4 SYM theory, dual to type IIB
string theory in the generalized Lunin-Maldacena backgrounds, in the sectors of
two and three kinds of fields, respectively. The solutions presented here
generalizes the results obtained by the author in a previous work for
homogeneous spins chains with $U(1)^N$ symmetries in the sectors of N=2 and
N=3.
|
[
{
"created": "Sat, 18 Oct 2008 20:06:20 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Nov 2008 16:32:21 GMT",
"version": "v2"
}
] |
2011-08-31
|
[
[
"Lazo",
"Matheus Jatkoske",
""
]
] |
We obtain through a Matrix Product Ansatz the exact solution of the most general inhomogeneous spin chain with nearest neighbor interaction and with $U(1)^2$ and $U(1)^3$ symmetries. These models are related to the one loop mixing matrix of the Leigh-Strassler deformed N=4 SYM theory, dual to type IIB string theory in the generalized Lunin-Maldacena backgrounds, in the sectors of two and three kinds of fields, respectively. The solutions presented here generalizes the results obtained by the author in a previous work for homogeneous spins chains with $U(1)^N$ symmetries in the sectors of N=2 and N=3.
|
2312.05377
|
Alex Buchel
|
Alex Buchel, Sera Cremonini and Laura Early
|
Holographic transport beyond the supergravity approximation
|
46 pages, 10 figures; v2: JHEP version
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We set up a unified framework to efficiently compute the shear and bulk
viscosities of strongly coupled gauge theories with gravitational holographic
duals involving higher derivative corrections. We consider both Weyl$^4$
corrections, encoding the finite 't Hooft coupling corrections of the boundary
theory, and Riemann$^2$ corrections, responsible for non-equal central charges
$c\ne a$ of the theory at the ultraviolet fixed point. Our expressions for the
viscosities in higher derivative holographic models are extracted from a
radially conserved current and depend only on the horizon data.
|
[
{
"created": "Fri, 8 Dec 2023 21:29:10 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Mar 2024 14:57:23 GMT",
"version": "v2"
}
] |
2024-03-13
|
[
[
"Buchel",
"Alex",
""
],
[
"Cremonini",
"Sera",
""
],
[
"Early",
"Laura",
""
]
] |
We set up a unified framework to efficiently compute the shear and bulk viscosities of strongly coupled gauge theories with gravitational holographic duals involving higher derivative corrections. We consider both Weyl$^4$ corrections, encoding the finite 't Hooft coupling corrections of the boundary theory, and Riemann$^2$ corrections, responsible for non-equal central charges $c\ne a$ of the theory at the ultraviolet fixed point. Our expressions for the viscosities in higher derivative holographic models are extracted from a radially conserved current and depend only on the horizon data.
|
0807.1495
|
Artemio Gonzalez-Lopez
|
J.C. Barba, F. Finkel, A. Gonzalez-Lopez, M.A. Rodriguez
|
An exactly solvable supersymmetric spin chain of BC_N type
|
36 pages, 7 figures
|
Nucl.Phys.B806:684-714,2009
|
10.1016/j.nuclphysb.2008.08.014
| null |
hep-th cond-mat.str-el math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a new exactly solvable supersymmetric spin chain related to the
BC_N extended root system, which includes as a particular case the BC_N version
of the Polychronakos-Frahm spin chain. We also introduce a supersymmetric spin
dynamical model of Calogero type which yields the new chain in the large
coupling limit. This connection is exploited to derive two different
closed-form expressions for the chain's partition function by means of
Polychronakos's freezing trick. We establish a boson-fermion duality relation
for the new chain's spectrum, which is in fact valid for a large class of (not
necessarily integrable) spin chains of BC_N type. The exact expressions for the
partition function are also used to study the chain's spectrum as a whole,
showing that the level density is normally distributed even for a moderately
large number of particles. We also determine a simple analytic approximation to
the distribution of normalized spacings between consecutive levels which fits
the numerical data with remarkable accuracy. Our results provide further
evidence that spin chains of Haldane-Shastry type are exceptional integrable
models, in the sense that their spacings distribution is not Poissonian, as
posited by the Berry-Tabor conjecture for "generic'' quantum integrable
systems.
|
[
{
"created": "Wed, 9 Jul 2008 16:58:50 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Barba",
"J. C.",
""
],
[
"Finkel",
"F.",
""
],
[
"Gonzalez-Lopez",
"A.",
""
],
[
"Rodriguez",
"M. A.",
""
]
] |
We construct a new exactly solvable supersymmetric spin chain related to the BC_N extended root system, which includes as a particular case the BC_N version of the Polychronakos-Frahm spin chain. We also introduce a supersymmetric spin dynamical model of Calogero type which yields the new chain in the large coupling limit. This connection is exploited to derive two different closed-form expressions for the chain's partition function by means of Polychronakos's freezing trick. We establish a boson-fermion duality relation for the new chain's spectrum, which is in fact valid for a large class of (not necessarily integrable) spin chains of BC_N type. The exact expressions for the partition function are also used to study the chain's spectrum as a whole, showing that the level density is normally distributed even for a moderately large number of particles. We also determine a simple analytic approximation to the distribution of normalized spacings between consecutive levels which fits the numerical data with remarkable accuracy. Our results provide further evidence that spin chains of Haldane-Shastry type are exceptional integrable models, in the sense that their spacings distribution is not Poissonian, as posited by the Berry-Tabor conjecture for "generic'' quantum integrable systems.
|
1504.03566
|
Daniel Junghans
|
Daniel Junghans
|
Large-Field Inflation with Multiple Axions and the Weak Gravity
Conjecture
|
30+8 pages, 13 figures, 1 table. v2: several remarks and references
added, version to appear in JHEP
| null |
10.1007/JHEP02(2016)128
|
LMU-ASC 21/15
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note, we discuss the implications of the weak gravity conjecture
(WGC) for general models of large-field inflation with a large number of axions
$N$. We first show that, from the bottom-up perspective, such models admit a
variety of different regimes for the enhancement of the effective axion decay
constant, depending on the amount of alignment and the number of instanton
terms that contribute to the scalar potential. This includes regimes of no
enhancement, power-law enhancement and exponential enhancement with respect to
$N$. As special cases, we recover the Pythagorean enhancement of $N$-flation,
the $N$ and $N^{3/2}$ enhancements derived by Bachlechner, Long and McAllister
and the exponential enhancement by Choi, Kim and Yun. We then analyze which
top-down constraints are put on such models from the requirement of consistency
with quantum gravity. In particular, the WGC appears to imply that the
enhancement of the effective axion decay constant must not grow parametrically
with $N$ for $N \gg 1$. On the other hand, recent works proposed that axions
might be able to violate this bound under certain circumstances. Our general
expression for the enhancement allows us to translate this possibility into a
condition on the number of instantons that couple to the axions. We argue that,
at large $N$, models consistent with quantum gravity must either allow
super-Planckian field excursions or have an enormous, possibly even
exponentially large, number of dominant instanton terms in the scalar
potential.
|
[
{
"created": "Tue, 14 Apr 2015 14:42:50 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Feb 2016 15:08:36 GMT",
"version": "v2"
}
] |
2016-03-23
|
[
[
"Junghans",
"Daniel",
""
]
] |
In this note, we discuss the implications of the weak gravity conjecture (WGC) for general models of large-field inflation with a large number of axions $N$. We first show that, from the bottom-up perspective, such models admit a variety of different regimes for the enhancement of the effective axion decay constant, depending on the amount of alignment and the number of instanton terms that contribute to the scalar potential. This includes regimes of no enhancement, power-law enhancement and exponential enhancement with respect to $N$. As special cases, we recover the Pythagorean enhancement of $N$-flation, the $N$ and $N^{3/2}$ enhancements derived by Bachlechner, Long and McAllister and the exponential enhancement by Choi, Kim and Yun. We then analyze which top-down constraints are put on such models from the requirement of consistency with quantum gravity. In particular, the WGC appears to imply that the enhancement of the effective axion decay constant must not grow parametrically with $N$ for $N \gg 1$. On the other hand, recent works proposed that axions might be able to violate this bound under certain circumstances. Our general expression for the enhancement allows us to translate this possibility into a condition on the number of instantons that couple to the axions. We argue that, at large $N$, models consistent with quantum gravity must either allow super-Planckian field excursions or have an enormous, possibly even exponentially large, number of dominant instanton terms in the scalar potential.
|
2201.02412
|
Hiroki Kawai
|
David Berenstein, Richard Brower, Hiroki Kawai
|
U(1) Fields from Qubits: an Approach via D-theory Algebra
|
19 pages, 10 figures
| null | null | null |
hep-th hep-lat quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
A new quantum link microstructure was proposed for the lattice quantum
chromodynamics (QCD) Hamiltonian, replacing the Wilson gauge links with a
bilinear of fermionic qubits, later generalized to D-theory. This formalism
provides a general framework for building lattice field theory algorithms for
quantum computing. We focus mostly on the simplest case of a quantum rotor for
a single compact $U(1)$ field. We also make some progress for non-Abelian
setups, making it clear that the ideas developed in the $U(1)$ case extend to
other groups. These in turn are building blocks for $1 + 0$-dimensional ($1 +
0$-D) matrix models, $1 + 1$-D sigma models and non-Abelian gauge theories in
$2+1$ and $3+1$ dimensions. By introducing multiple flavors for the $U(1)$
field, where the flavor symmetry is gauged, we can efficiently approach the
infinite-dimensional Hilbert space of the quantum $O(2)$ rotor with increasing
flavors. The emphasis of the method is on preserving the symplectic algebra
exchanging fermionic qubits by sigma matrices (or hard bosons) and developing a
formal strategy capable of generalization to $SU(3)$ field for lattice QCD and
other non-Abelian $1 + 1$-D sigma models or $3 +3$-D gauge theories. For
$U(1)$, we discuss briefly the qubit algorithms for the study of the discrete
$1+1$-D Sine-Gordon equation.
|
[
{
"created": "Fri, 7 Jan 2022 11:45:22 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Dec 2023 03:48:44 GMT",
"version": "v2"
}
] |
2023-12-11
|
[
[
"Berenstein",
"David",
""
],
[
"Brower",
"Richard",
""
],
[
"Kawai",
"Hiroki",
""
]
] |
A new quantum link microstructure was proposed for the lattice quantum chromodynamics (QCD) Hamiltonian, replacing the Wilson gauge links with a bilinear of fermionic qubits, later generalized to D-theory. This formalism provides a general framework for building lattice field theory algorithms for quantum computing. We focus mostly on the simplest case of a quantum rotor for a single compact $U(1)$ field. We also make some progress for non-Abelian setups, making it clear that the ideas developed in the $U(1)$ case extend to other groups. These in turn are building blocks for $1 + 0$-dimensional ($1 + 0$-D) matrix models, $1 + 1$-D sigma models and non-Abelian gauge theories in $2+1$ and $3+1$ dimensions. By introducing multiple flavors for the $U(1)$ field, where the flavor symmetry is gauged, we can efficiently approach the infinite-dimensional Hilbert space of the quantum $O(2)$ rotor with increasing flavors. The emphasis of the method is on preserving the symplectic algebra exchanging fermionic qubits by sigma matrices (or hard bosons) and developing a formal strategy capable of generalization to $SU(3)$ field for lattice QCD and other non-Abelian $1 + 1$-D sigma models or $3 +3$-D gauge theories. For $U(1)$, we discuss briefly the qubit algorithms for the study of the discrete $1+1$-D Sine-Gordon equation.
|
hep-th/0409243
|
Sergey Cherkis
|
Nathan Berkovits and Sergey A. Cherkis
|
Higher-Dimensional Twistor Transforms using Pure Spinors
|
17 pages harvmac tex. Modified title, abstract, introduction and
references to acknowledge earlier papers by Hughston and others
|
JHEP0412:049,2004
|
10.1088/1126-6708/2004/12/049
|
IFT-P.048/2004, TCD-Math-04-16, HMI-04-05
|
hep-th
| null |
Hughston has shown that projective pure spinors can be used to construct
massless solutions in higher dimensions, generalizing the four-dimensional
twistor transform of Penrose. In any even (Euclidean) dimension d=2n,
projective pure spinors parameterize the coset space SO(2n)/U(n), which is the
space of all complex structures on R^{2n}. For d=4 and d=6, these spaces are
CP^1 and CP^3, and the appropriate twistor transforms can easily be
constructed. In this paper, we show how to construct the twistor transform for
d>6 when the pure spinor satisfies nonlinear constraints, and present explicit
formulas for solutions of the massless field equations.
|
[
{
"created": "Fri, 24 Sep 2004 19:40:17 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Nov 2004 19:29:40 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Berkovits",
"Nathan",
""
],
[
"Cherkis",
"Sergey A.",
""
]
] |
Hughston has shown that projective pure spinors can be used to construct massless solutions in higher dimensions, generalizing the four-dimensional twistor transform of Penrose. In any even (Euclidean) dimension d=2n, projective pure spinors parameterize the coset space SO(2n)/U(n), which is the space of all complex structures on R^{2n}. For d=4 and d=6, these spaces are CP^1 and CP^3, and the appropriate twistor transforms can easily be constructed. In this paper, we show how to construct the twistor transform for d>6 when the pure spinor satisfies nonlinear constraints, and present explicit formulas for solutions of the massless field equations.
|
2406.06055
|
Prasanjit Aich
|
Nirmalendu Acharyya, Prasanjit Aich, Arkajyoti Bandyopadhyay and
Sachindeo Vaidya
|
The matrix model of two-color one-flavor QCD: The ultra-strong coupling
regime
|
23 pages Latex, 18 figures
| null | null | null |
hep-th hep-lat hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Using variational methods, we numerically investigate the matrix model for
the two-color QCD coupled to a single quark (matrix-QCD$_{2,1}$) in the limit
of ultra-strong Yang-Mills coupling ($g =\infty$). The spectrum of the model
has superselection sectors labelled by baryon number $B$ and spin $J$. We study
sectors with $B=0,1,2$ and $J=0,1$, which may be organized as mesons,
(anti-)diquarks and (anti-)tetraquarks. For each of these sectors, we study the
properties of the respective ground states in both chiral and heavy quark
limits, and uncover a rich quantum phase transition (QPT) structure. We also
investigate the division of the total spin between the glue and the quark and
show that glue contribution is significant for several of these sectors. For
the $(B,J)=(0,0)$ sector, we find that the dominant glue contribution to the
ground state comes from reducible connections. Finally, in the presence of
non-trivial baryon chemical potential $\mu$, we construct the phase diagram of
the model. For sufficiently large $\mu$, we find that the ground state of the
theory may have non-zero spin.
|
[
{
"created": "Mon, 10 Jun 2024 07:03:31 GMT",
"version": "v1"
}
] |
2024-06-11
|
[
[
"Acharyya",
"Nirmalendu",
""
],
[
"Aich",
"Prasanjit",
""
],
[
"Bandyopadhyay",
"Arkajyoti",
""
],
[
"Vaidya",
"Sachindeo",
""
]
] |
Using variational methods, we numerically investigate the matrix model for the two-color QCD coupled to a single quark (matrix-QCD$_{2,1}$) in the limit of ultra-strong Yang-Mills coupling ($g =\infty$). The spectrum of the model has superselection sectors labelled by baryon number $B$ and spin $J$. We study sectors with $B=0,1,2$ and $J=0,1$, which may be organized as mesons, (anti-)diquarks and (anti-)tetraquarks. For each of these sectors, we study the properties of the respective ground states in both chiral and heavy quark limits, and uncover a rich quantum phase transition (QPT) structure. We also investigate the division of the total spin between the glue and the quark and show that glue contribution is significant for several of these sectors. For the $(B,J)=(0,0)$ sector, we find that the dominant glue contribution to the ground state comes from reducible connections. Finally, in the presence of non-trivial baryon chemical potential $\mu$, we construct the phase diagram of the model. For sufficiently large $\mu$, we find that the ground state of the theory may have non-zero spin.
|
1311.5519
|
Sandipan Kundu
|
Willy Fischler, Sandipan Kundu, Juan F. Pedraza
|
Entanglement and out-of-equilibrium dynamics in holographic models of de
Sitter QFTs
|
39 pages, 11 figures; minor changes, conclusions unchanged
|
JHEP 07 (2014) 021
|
10.1007/JHEP07(2014)021
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study various aspects of entanglement entropy in
strongly-coupled de Sitter quantum field theories in various dimensions. We
find gravity solutions that are dual to field theories in a fixed de Sitter
background, both in equilibrium and out-of-equilibrium configurations. The
latter corresponds to the Vaidya generalization of the AdS black hole solutions
with hyperbolic topology. We compute analytically the entanglement entropy of
spherical regions and show that there is a transition when the sphere is as big
as the horizon. We also explore thermalization in time-dependent situations in
which the system evolves from a non-equilibrium state to the Bunch-Davies
state. We find that the saturation time is equal to the light-crossing time of
the sphere. This behavior is faster than random walk and suggests the existence
of free light-like degrees of freedom.
|
[
{
"created": "Thu, 21 Nov 2013 19:11:24 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Jan 2014 00:27:39 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Jul 2014 02:32:07 GMT",
"version": "v3"
}
] |
2014-07-08
|
[
[
"Fischler",
"Willy",
""
],
[
"Kundu",
"Sandipan",
""
],
[
"Pedraza",
"Juan F.",
""
]
] |
In this paper we study various aspects of entanglement entropy in strongly-coupled de Sitter quantum field theories in various dimensions. We find gravity solutions that are dual to field theories in a fixed de Sitter background, both in equilibrium and out-of-equilibrium configurations. The latter corresponds to the Vaidya generalization of the AdS black hole solutions with hyperbolic topology. We compute analytically the entanglement entropy of spherical regions and show that there is a transition when the sphere is as big as the horizon. We also explore thermalization in time-dependent situations in which the system evolves from a non-equilibrium state to the Bunch-Davies state. We find that the saturation time is equal to the light-crossing time of the sphere. This behavior is faster than random walk and suggests the existence of free light-like degrees of freedom.
|
1908.08086
|
Christian Saemann
|
Christian Saemann and Lennart Schmidt
|
Towards an M5-Brane Model II: Metric String Structures
|
v2: 70 pages, presentation improved, typos fixed, published version
|
Fortschr. Phys. 68 (2020) 2000051
|
10.1002/prop.202000051
|
EMPG-19-20
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we develop the mathematical formulation of metric string
structures. These play a crucial role in the formulation of certain
six-dimensional superconformal field theories and we believe that they also
underlie potential future formulations of the (2,0)-theory. We show that the
connections on non-abelian gerbes usually introduced in the literature are
problematic in that they are locally gauge equivalent to connections on abelian
gerbes. Connections on string structures form an exception and we introduce the
general concept of an adjusted Weil algebra leading to potentially interacting
connections on higher principal bundles. Considering a special case, we derive
the metric extension of string structures and the corresponding adjusted Weil
algebra. The latter lead to connections that were previously constructed by
hand in the context of gauged supergravities. We also explain how the Leibniz
algebras induced by an embedding tensor in gauged supergravities fit into our
picture.
|
[
{
"created": "Wed, 21 Aug 2019 19:13:16 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Aug 2020 08:38:44 GMT",
"version": "v2"
}
] |
2020-08-11
|
[
[
"Saemann",
"Christian",
""
],
[
"Schmidt",
"Lennart",
""
]
] |
In this paper, we develop the mathematical formulation of metric string structures. These play a crucial role in the formulation of certain six-dimensional superconformal field theories and we believe that they also underlie potential future formulations of the (2,0)-theory. We show that the connections on non-abelian gerbes usually introduced in the literature are problematic in that they are locally gauge equivalent to connections on abelian gerbes. Connections on string structures form an exception and we introduce the general concept of an adjusted Weil algebra leading to potentially interacting connections on higher principal bundles. Considering a special case, we derive the metric extension of string structures and the corresponding adjusted Weil algebra. The latter lead to connections that were previously constructed by hand in the context of gauged supergravities. We also explain how the Leibniz algebras induced by an embedding tensor in gauged supergravities fit into our picture.
|
0909.4057
|
Anirban Saha
|
Anirban Saha
|
Aspects of Symmetries in Field and String Theories
|
147 pages, Ph.D. thesis (2009), Advisor : Pradip Mukherjee
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The focus of the present thesis is on the analysis of gauge symmetry and its
various impacts on gauge theories. In the first part of this thesis, we have
studied different aspects of symmetries in connection with various field and
string theoretic models. The manifestations of gauge symmetries and their
interconnection with the diffeomorphism invariances have been discussed in the
context of different generally covariant models like string, membrane,
$p-$brane and metric gravity. Analysis of interacting string with proper
inclusion of the stringy boundary conditions led to the noncommutative nature
of the string coordinates. In the second part of the thesis the emphasis was
primarily on the impact of gauge symmetries on the field theories defined over
noncommutative space-time. The correspondence between the NC gauge symmetry and
ordinary gauge symmetry manifest by Seiberg--Witten maps between the NC gauge
fields and ordinary gauge fields have been used to construct equivalent
commutative theories describing the original NC gauge theories. Using this
commutative equivalent approach we have analysed several NC gauge field
theories of current interest. A upper-bound on the time-space noncommutative
parameter has also been worked out.
|
[
{
"created": "Tue, 22 Sep 2009 18:02:25 GMT",
"version": "v1"
}
] |
2009-09-23
|
[
[
"Saha",
"Anirban",
""
]
] |
The focus of the present thesis is on the analysis of gauge symmetry and its various impacts on gauge theories. In the first part of this thesis, we have studied different aspects of symmetries in connection with various field and string theoretic models. The manifestations of gauge symmetries and their interconnection with the diffeomorphism invariances have been discussed in the context of different generally covariant models like string, membrane, $p-$brane and metric gravity. Analysis of interacting string with proper inclusion of the stringy boundary conditions led to the noncommutative nature of the string coordinates. In the second part of the thesis the emphasis was primarily on the impact of gauge symmetries on the field theories defined over noncommutative space-time. The correspondence between the NC gauge symmetry and ordinary gauge symmetry manifest by Seiberg--Witten maps between the NC gauge fields and ordinary gauge fields have been used to construct equivalent commutative theories describing the original NC gauge theories. Using this commutative equivalent approach we have analysed several NC gauge field theories of current interest. A upper-bound on the time-space noncommutative parameter has also been worked out.
|
hep-th/9209027
| null |
P.F.Bedaque, I.Horvath, S.G.Rajeev
|
Two dimensional baryons in the large N limit
|
14 pages including figures
|
Mod.Phys.Lett.A7:3347-3356,1992
|
10.1142/S0217732392002731
| null |
hep-th
| null |
We propose a bilocal field theory for mesons in two dimensions obtained as a
kind of non local bosonization of two dimensional QCD. Its semi-classical
expansion is equivalent to the $1/N_c$ expansion of QCD. Using an ansatz we
reduce the classical equation of motion of this theory in the baryon number one
sector to a relativistic Hartree equation and solve it numerically. This (non
topological) soliton is identified with the baryon.
|
[
{
"created": "Tue, 8 Sep 1992 17:56:00 GMT",
"version": "v1"
}
] |
2019-08-17
|
[
[
"Bedaque",
"P. F.",
""
],
[
"Horvath",
"I.",
""
],
[
"Rajeev",
"S. G.",
""
]
] |
We propose a bilocal field theory for mesons in two dimensions obtained as a kind of non local bosonization of two dimensional QCD. Its semi-classical expansion is equivalent to the $1/N_c$ expansion of QCD. Using an ansatz we reduce the classical equation of motion of this theory in the baryon number one sector to a relativistic Hartree equation and solve it numerically. This (non topological) soliton is identified with the baryon.
|
2207.08831
|
Tobias Theil
|
Pietro Baratella, Sara Maggio, Michael Stadlbauer and Tobias Theil
|
Two-Loop Infrared Renormalization with On-shell Methods
|
28 pages, 4 figures, substantially extends v1
| null | null |
TUM-HEP-1410/22, BONN-TH-2023-01
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Within the framework proposed by Caron-Huot and Wilhelm, we give a recipe for
computing infrared anomalous dimensions purely on-shell, efficiently up to two
loops in any massless theory. After introducing the general formalism and
reviewing the one-loop recipe, we extract a practical formula that relates
two-loop infrared anomalous dimensions to certain two- and three-particle phase
space integrals with tree-level form factors of conserved operators. We then
provide several examples of the use of the two-loop formula and comment on some
of its formal aspects, especially the cancellation of 'one-loop squared'
spurious terms. The present version of the paper is augmented with a detailed
treatment of the structure of infrared divergences in massless theories of
scalars and fermions up to two loops. In the calculation we encounter divergent
phase space integrals and show in detail how these cancel among each other as
required by the finiteness of the anomalous dimension. As a non-trivial check
of the method, we also perform the computation with a standard diagrammatic
approach, finding perfect agreement.
|
[
{
"created": "Mon, 18 Jul 2022 18:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Feb 2023 11:26:29 GMT",
"version": "v2"
},
{
"created": "Fri, 26 May 2023 08:47:15 GMT",
"version": "v3"
}
] |
2023-05-29
|
[
[
"Baratella",
"Pietro",
""
],
[
"Maggio",
"Sara",
""
],
[
"Stadlbauer",
"Michael",
""
],
[
"Theil",
"Tobias",
""
]
] |
Within the framework proposed by Caron-Huot and Wilhelm, we give a recipe for computing infrared anomalous dimensions purely on-shell, efficiently up to two loops in any massless theory. After introducing the general formalism and reviewing the one-loop recipe, we extract a practical formula that relates two-loop infrared anomalous dimensions to certain two- and three-particle phase space integrals with tree-level form factors of conserved operators. We then provide several examples of the use of the two-loop formula and comment on some of its formal aspects, especially the cancellation of 'one-loop squared' spurious terms. The present version of the paper is augmented with a detailed treatment of the structure of infrared divergences in massless theories of scalars and fermions up to two loops. In the calculation we encounter divergent phase space integrals and show in detail how these cancel among each other as required by the finiteness of the anomalous dimension. As a non-trivial check of the method, we also perform the computation with a standard diagrammatic approach, finding perfect agreement.
|
hep-th/9911228
|
Noriaki Sato
|
Noboru Kawamoto, Noriaki Sato, Yukiya Uchida
|
4-dimensional BF Gravity on the Lattice
|
LaTeX2e, 45 pages, 55 eps figures
|
Nucl.Phys. B574 (2000) 809-848
|
10.1016/S0550-3213(00)00017-1
|
EPHOU-99-0015
|
hep-th
| null |
We propose the lattice version of $BF$ gravity action whose partition
function leads to the product of a particular form of 15-$j$ symbol which
corresponds to a 4-simplex. The action is explicitly constructed by lattice $B$
field defined on triangles and link variables defined on dual links and is
shown to be invariant under lattice local Lorentz transformation and
Kalb-Ramond gauge transformation. We explicitly show that the partition
function is Pachner move invariant and thus topological. The action includes
the vanishing holonomy constraint which can be interpreted as a gauge fixing
condition. This formulation of lattice $BF$ theory can be generalized into
arbitrary dimensions.
|
[
{
"created": "Mon, 29 Nov 1999 13:10:22 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Kawamoto",
"Noboru",
""
],
[
"Sato",
"Noriaki",
""
],
[
"Uchida",
"Yukiya",
""
]
] |
We propose the lattice version of $BF$ gravity action whose partition function leads to the product of a particular form of 15-$j$ symbol which corresponds to a 4-simplex. The action is explicitly constructed by lattice $B$ field defined on triangles and link variables defined on dual links and is shown to be invariant under lattice local Lorentz transformation and Kalb-Ramond gauge transformation. We explicitly show that the partition function is Pachner move invariant and thus topological. The action includes the vanishing holonomy constraint which can be interpreted as a gauge fixing condition. This formulation of lattice $BF$ theory can be generalized into arbitrary dimensions.
|
1611.03948
|
Kenji Mohri
|
Kenji Mohri
|
Algebra of Kodaira-Spencer Gravity and Deformation of Calabi-Yau
Manifold
|
preprint of an article published in Rev.Math.Phys. (C) World
Scientific Publishing Company
|
Reviews in Mathematical Physics vol.29, No.3 (2017) 1750010 (23
pages)
|
10.1142/S0129055X17500106
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the algebraic structure of the configuration space of the
Kodaira-Spencer gravity theory on a Calabi-Yau threefold. We then investigate
the deformation problem of the Kodaira-Spencer gravity at the classical level
using the algebraic tools obtained here.
|
[
{
"created": "Sat, 12 Nov 2016 03:47:08 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Feb 2017 04:48:38 GMT",
"version": "v2"
}
] |
2017-02-24
|
[
[
"Mohri",
"Kenji",
""
]
] |
We study the algebraic structure of the configuration space of the Kodaira-Spencer gravity theory on a Calabi-Yau threefold. We then investigate the deformation problem of the Kodaira-Spencer gravity at the classical level using the algebraic tools obtained here.
|
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